Yochanan walked from home to the bus stop at an average speed of 5 km / h. He immediately got on his school bus and traveled at an average speed of 60 km / h until he got to school. The total distance from his home to school is 35 km, and the entire trip took 1.5 hours.

Answers

Answer 1
Final answer:

Yochanan walked 5 km to the bus stop at 5 km/h and then took the bus for the remaining 30 km at 60 km/h, totaling 1.5 hours for his trip to school.

Explanation:

The question involves calculating distances and times related to Yochanan's trip from home to school, requiring the application of speed, distance, and time relationships. Let's denote the distance from Yochanan's home to the bus stop as x kilometers and the remaining distance to school (35 - x) kilometers. Given the average speeds and the total trip time, we can set up equations to solve for x.

The time taken to walk to the bus stop is x / 5 hours, and the time taken to travel from the bus stop to school by bus is (35 - x) / 60 hours. The total trip time is 1.5 hours.

Therefore, the equation is:

x / 5 + (35 - x) / 60 = 1.5

Solving this equation:

Multiply through by 60 (LCM of denominators) to eliminate fractions: 12x + (35 - x) = 90Simplify and solve for x: 11x = 55Divide by 11: x = 5

So, Yochanan walked 5 km to the bus stop. Using the distance to calculate times, he spent 1 hour on the bus and 0.5 hours walking.


Related Questions

13. The length of a rectangle is 2 meters more than its width. The area of the rectangle is 80 square meters. What is the length and with
of the rectangle?
A length
B. length
C. length
D. length
14 meters, width 12 meters
10 meters width 8 meters
20 meters, width 4 meters
3 meters, width 6 meters

Answers

Answer:

Remember that if you want the area on a rectangle you have to think, lengh x width. In this case, the correct answer is C.

Step-by-step explanation:

There is something wrong in this, because 20 is not 2 meters than its width.

A submarine traveling 200 meters below the surface of the ocean increases its depth by 45 meters. Adam says that the new location of the submarine is -155 meters. Describe an error Adam could have made that would result in the answer he gave

Answers

Answer:

The error that Adam could have made is added 45 to the depth of

submarine instead of adding -45

Step-by-step explanation:

* Lets explain how to solve the problem

- A submarine traveling 200 meters below the surface of the ocean

- Increases its depth by 45 meters

- Adam says that the new location of the submarine is -155 meters

- We need to know the error of Adam

∵ We consider the surface of the ocean is the zero level

∵ The submarine is 200 meters below the surface of the ocean

∵ Below means negative

∴ The depth of submarine is -200 meters

∵ It increases the depth by 45 meters

- That means it travels down another 45 meters

∵ Down means negative

∴ The depth of submarine = -200 + (-45) = -245 meters

∴ The depth of submarine is 245 below the surface of the ocean

- Adam could thought that the submarine traveled up for 45 meters

 then he add 45 to -200

∵ -200 + 45 = -155 meters

The error that Adam could have made is added 45 to the

   depth of submarine instead of adding -45

Final answer:

Adam incorrectly subtracted the increased depth from the initial depth, but the correct method is to add the increased depth to the initial negative depth, resulting in a depth of -245 meters.

Explanation:

The error Adam made in his calculation is that he subtracted the increased depth from the initial depth, instead of adding it. When a submarine dives deeper from any initial depth below sea level, we must add the increase to the existing negative depth.

The submarine was originally at -200 meters (below the surface), and then it went 45 meters deeper. Thus, the correct new depth is -200 meters - 45 meters = -245 meters.

If x and y are linearly​ independent, and if ​{x​, y​, z​} is linearly​ dependent, then z is in ​Span{x​, y​}.Choose the correct answer below.True / False.

Answers

Final answer:

The correct answer is True, as z must be expressible as a linear combination of the linearly independent vectors x and y, putting z in the Span{x, y}.

Explanation:

If x and y are linearly independent, and if the set {x, y, z} is linearly dependent, then it must be the case that z can be expressed as a linear combination of x and y. This is because in a linearly dependent set, at least one of the vectors can be written as a combination of the others. Since x and y are linearly independent, they cannot be written in terms of each other, leaving z to be the vector that depends on x and y. Therefore, z is in the Span{x, y}. The correct answer to the question is True.

Tickets to a Broadway show cost $35 for adults and $27 for children. The total receipts for 1229 tickets at one performance were $40335. How many adult and child tickets were sold?

Answers

Answer:

The number of adults tickets sold was 894 and the number of children tickets sold was 335

Step-by-step explanation:

Let

x ----> the number of adults tickets sold

y ----> the number of children tickets sold

we know that

x+y=1,229 -----> equation A

35x+27y=40,335 ----> equation B

Solve the system by graphing

Remember that the solution is the intersection point both graphs

The solution is the point (894,335)

see the attached figure

therefore

The number of adults tickets sold was 894 and the number of children tickets sold was 335

To solve for the number of adult and child Broadway show tickets sold, we set up and solve a system of equations. After calculation, we find that 894 adult tickets and 335 child tickets were sold.

The question asks to determine the number of adult and child tickets sold when tickets to a Broadway show cost $35 for adults and $27 for children, with a total of 1229 tickets sold for a total amount of $40335. This is a typical example of a system of equations problem.

Step-by-Step Solution:

Let x be the number of adult tickets sold and y be the number of child tickets sold.

We have two equations:

To solve the system, multiply the first equation by -27 to eliminate y:

Add this result to the second equation:

Divide by 8 to find x:

Substitute x = 894 into the first equation to find y:

Therefore, 894 adult tickets and 335 child tickets were sold.

Convert 12 over 5 to a decimal using long division. 1.2 2.4 2.6 3.4 LOTS OF POINTS HALPPPPP!!!!!!!!!

Answers

Answer: 2.4

Step-by-step explanation:

5 /12-long division think bus stop method

5 goes into 12 twice with 2 remaining

2.

5 / 12.^2000

5 does go into 20 4 times

So you end up with

2. 4

5/12.0

Hope this helps

Answer:

Answer:

12/5=2.4

Showing the work

We know that

12/5

is the same as

12÷5

Then using

Long Division for 12 divided by 5

and rounding to a Max of 3 Decimal Places gives us

=2.4

Good day

If X - A = B, what is X?

Answers

Answer:

The answer to your question is: the first option is correct

Step-by-step explanation:

We know that X - A = B  , then   X = A + B

   

               

           A      2        -7               B     -9       5

                    6         1                        1       -1      

X will be the sum of the two matrix given

X    =                A        +         B                  =    

                      2 - 9             -7 + 5                       -7         -2

                      6 +1               1 - 1                           7          0

                                                                    The first option is correct

Answer:

The first option

Step-by-step explanation:

Lana has 18 pencils, 24 erasers and 36 crayons that she wants to put evenly into her pencil boxes. If she put the same number of each type of item in her pencil boxes, what is the most number of pencil boxes will she fit

Answers

Answer:

  6

Step-by-step explanation:

The largest factor that is common to all these numbers is 6. That is the number of pencil boxes Lana can fill.

  18 = 6×3

  24 = 6×4

  36 = 6×6

___

Each of her six (6) pencil boxes will have 3 pencils, 4 erasers, and 6 crayons.

Use the rules of exponents to simplify the expressions. (Please show the answer in fraction or whole number form and simplify all math that can be done.) 2/2 to the power of -4

Answers

Answer: 1

Step-by-step explanation:

Ok so 2/2=1

So 1^-4 is

(-1)(-1)(-1)(-1)=1

Let F (x, y) be the statement "x can fool y," where the domain consists of all people in the world. Use quantifiers to express each of these statements. a) EverybodycanfoolFred. b) Evelyn can fool everybody. c) Everybody can fool somebody. d) There is no one who can fool everybody. e) Everyone can be fooled by somebody. f) NoonecanfoolbothFredandJerry. g) Nancycanfoolexactlytwopeople.

Answers

Answer:

a) ∀x ∃f F(x, f)

b) ∃e ∀y F(e, y)

c) ∀x ∃y F(x, y)

d) ¬∃x ∀y F(x, y) ≡ ∃x ∀y ¬F(x, y)

e) ∃x ∃y F(x, y)

f) ¬∃x ∃f ∃j [F(x, f) ∧ F(x, j)] ≡ ∃x ∃f ∃j ¬[F(x, f) ∧ F(x, j)]

g) ∃n ∃a ∃b [F(n, a) ∧ F(n, b)]

Step-by-step explanation: F (x, y) "x can fool y,"

domain consists of all people in the world

a) Everybody can fool Fred.

Let's say Fred = f ∈ y

∀x ∃f F(x, f)

b) Evelyn can fool everybody.

Let's say Evelyn = e ∈ x

∃e ∀y F(e, y)

c) Everybody can fool somebody.

∀x ∃y F(x, y)

d) There is no one who can fool everybody.

¬∃x ∀y F(x, y) ≡ ∃x ∀y ¬F(x, y)

e) Everyone can be fooled by somebody.

∃x ∃y F(x, y)

f) No one can fool both Fred and Jerry.

Let's say Fred = f ∈ y

Let's say Jerry = j ∈ y

¬∃x ∃f ∃j [F(x, f) ∧ F(x, j)] ≡ ∃x ∃f ∃j ¬[F(x, f) ∧ F(x, j)]

g) Nancy can fool exactly two people.

Let's say Nancy = n ∈ x

Let's say person 1 = a ∈ y

Let's say person 2 = b ∈ y

∃n ∃a ∃b [F(n, a) ∧ F(n, b)]

The statements are expressed using quantifiers as shown above. The symbols ∀, ∃, ¬, ∧, and → represent "for all," "there exists," "not," "and," and "implies," respectively.

Step 1: Define the domain and predicate.

Domain: All people in the world.

Predicate: F(x, y) means "x can fool y"

Step 2: Express each statement using quantifiers.

a) Everybody can fool Fred: ∀x F(x, Fred)

b) Evelyn can fool everybody: ∀y F(Evelyn, y)

c) Everybody can fool somebody: ∀x ∃y F(x, y)

d) There is no one who can fool everybody: ¬∃x ∀y F(x, y) or ∀x ∃y ¬F(x, y)

e) Everyone can be fooled by somebody: ∀y ∃x F(x, y)

f) No one can fool both Fred and Jerry: ∀x ¬(F(x, Fred) ∧ F(x, Jerry))

g) Nancy can fool exactly two people: ∃y₁ ∃y₂ (y₁ ≠ y₂) (F(Nancy, y₁) ∧ F(Nancy, y₂) ∧ ∀y ((y ≠ y₁ ∧ y ≠ y₂) → ¬F(Nancy, y)))

Complete question:

Let F (x, y) be the statement "x can fool y," where the domain consists of all people in the world. Use quantifiers to express each of these statements. a) Everybody can fool Fred.

b) Evelyn can fool everybody.

c) Everybody can fool somebody.

d) There is no one who can fool everybody.

e) Everyone can be fooled by somebody.

f) No one can fool both Fred and Jerry.

g) Nancy can fool exactly two people.

Mrs. Shoelady gave her children $2.40 in quarters, dimes, and nickles. The number of nickles was twice the number of quarters. The number of quarters was twice the number of dimes. How many of each coin did she give out?

Answers

Answer:

6 quarters, 3 dimes, and 12 nickles

Step-by-step explanation:

Let's say Q is the number of quarters, D is the number of dimes, and N is the number of nickles.

From the information in the problem, we can write three equations:

25Q + 10D + 5N = 240

N = 2Q

Q = 2D

Solve the system of equations using substitution.

25(2D) + 10D + 5(2Q) = 240

50D + 10D + 10Q = 240

60D + 10(2D) = 240

60D + 20D = 240

80D = 240

D = 3

Q = 6

N = 12

There are 6 quarters, 3 dimes, and 12 nickles.

Please help!!!! step by step​

Answers

Answer:

y=-x-4

Step-by-step explanation:

first-divide the 3 over to the side x is on

then subtract the y over to the other side. THEN MOVE THE X BACK THE THE SIDE WITH 4. tHEN DIVIDE -X BY -1 TO GET RID OF THE NEGATIVE AFTERYOU SHOULD PUT THE NEGATIVE SIGN TO THE X.

Answer:

See the picture please

Step-by-step explanation:

     

A quality control engineer is interested in the mean length of sheet insulation being cut automatically by machine. It is known that the standard deviation in the cutting length that this machine produces is 0.20 feet. A sample of 75 cut sheets yields a mean length of 12.25 feet. This sample will be used to obtain a confidence interval for the mean length cut by machine. Referring to Scenario 1, the Z value to use in obtaining the 95% confidence interval is approximately .
A. 2.58.
B.1.96.
C. 1.75.
D. 1.645.

Answers

Answer: B.1.96.

Step-by-step explanation:

The critical z-value used for [tex](1-\alpha)[/tex] confidence interval istwo tailed value with the significance level of [tex](\alpha)[/tex] i.e.[tex]z_{\alpha/2}[/tex] from the standard normal distribution table for z.

Given : Level of confidence : [tex]1-\alpha=0.95[/tex]

Significance level : [tex]\alpha:1-0.95=0.05[/tex]

By using the standard normal distribution table for z,

The z-value = [tex]z_{0.05/2}=z_{0.025}=1.96[/tex]

Final answer:

The correct Z value to use in obtaining a 95% confidence interval for the mean length of cut sheet insulation using a known standard deviation is 1.96.

Explanation:

The Z value to use in obtaining the 95% confidence interval for the mean length cut by a machine (which is distributed normally) is 1.96. This is because a 95% confidence interval excludes 5% of the probability, with 2.5% in each tail of the normal distribution. The critical Z value for 0.025 in one tail is roughly 1.96, which is the standard score that corresponds to the 97.5th percentile of the standard normal distribution.


The quality control engineer, who is working on automatically cut sheet insulation, found a mean of 12.25 feet from a sample of 75 cuts. Given the known standard deviation of 0.20 feet, using the Z value of 1.96 will allow for the construction of the desired confidence interval around the sample mean. This critical value enables us to estimate the range in which the true population mean is likely to fall with 95% certainty.

In 2017, Moreno Cheeses had a net income of $42,390, paid preferred dividends of $6,000 and 18,000 shares of common stock outstanding. What was their earnings per share for 2017?a) $1.69 b) $2.69 c) $2.02 d) $2.36

Answers

Answer:

Option c.

Step-by-step explanation:

In 2017, Moreno Cheeses had a net income of $42,390, paid preferred dividends of $6,000.

value of the shares = Net income - preferred dividends

                                = 42,390 - 6,000

                                = $36,390

To find their earnings per share = [tex]\frac{\text{Value of the shares}}{\text{total number of shares}}[/tex]

= [tex]\frac{36,390}{1,8000}[/tex]

= $2.02 per share

Option c) $2.02 per share

Margo lists the sizes, inches, of set of screws: 9/64, 5/32, 1/16, 1/8. She reasons that because the denominators are in order from greatest to least, the list is in order from least to greatest. Is Margo correct? Why or why not ?

Answers

Answer:

I think she is incorrect she need to change all the fractions to the same denominators

Step-by-step explanation:

We are going to change all the fractions to 64

9/64 stays the same

5/32 multiply 2    then 10/64

1/16 multiply by 4 then 4/64

1/8 multiply by 8  then 8/64

Now we can order then

5/32 > 9/64 > 1/8 > 1/16 This is the right order

She was wrong.

The order of the list from least to greatest is 1/16 < 1/8 < 9/64 < 5/31.

What is ascending order?

Ascending order means to arrange numbers in increasing order, that is, from smallest to largest.

Now the given sizes of sets of screws are,

9/64, 5/32, 1/16, 1/8

Now We shall convert the values into decimals for simplicity.

So,

9/64 = 0.1406

5/32 = 0.1562

1/16 = 0.0625

1/8 = 0.125

So, arranging them from least to greatest :

0.0625 < 0.125 < 0.1406 < 0.1562

So, the required order of sizes of sets of screws are,

1/16 < 1/8 < 9/64 < 5/31

Thus, The order of the list from least to greatest is 1/16 < 1/8 < 9/64 < 5/31.

To learn more about least to greatest:

https://brainly.com/question/17319861

#SPJ2

Martina, Hong, and Felipe sent a total of 91 text messages over their cell phones during the weekend. Hong sent 9 more messages than Martina. Felipe sent 2 times as many messages as Hong. How many messages did they each send?

Answers

Answer:

M = 16

H = 25

F = 50

Step-by-step explanation:

Let's use for abbreviation M for Martina's messages, H for Hong's messages and F for Felipe's messages.

Now we need to write the given information as equations.

Martina, Hong, and Felipe sent a total of 91 text messages

(1) M + H + F = 91

Hong sent 9 more messages than Martina.

(2) H = M + 9

Felipe sent 2 times as many messages as Hong

(3) F = 2 * H

Now with this system, we need to replace the letters to leave only M in the first equation.

(4) M + (M + 9) + (2*(M + 9)  = 91

(5) 4*M + 27 = 91

(6) M = (91-27) / 4

Then we find the answer:

M = 16

H = 25

F = 50

The number of text messages sent by Martina, Hong, and Felipe, you solve the equation m + (m + 9) + 2(m + 9) = 91, which results in Martina sending 16 messages, Hong sending 25, and Felipe sending 50.

The problem involves solving a system of equations to find out how many text messages Martina, Hong, and Felipe each sent. Let's define Martina's number of messages as m.

Then Hong's number would be m + 9, and Felipe sent 2(m + 9) because he sent twice as many as Hong.

The total number of messages sent by all three is given as 91. This gives us the equation: m + (m + 9) + 2(m + 9) = 91. Simplifying, we get:
m + m + 9 + 2m + 18 = 91
4m + 27 = 91
4m = 64
m = 16.

Now that we've found Martina's number, we can calculate the others:
Hong: 16 + 9 = 25
Felipe: 2 * 25 = 50. So, Martina sent 16 messages, Hong sent 25, and Felipe sent 50.

A cash register contains only five dollar and ten dollar bills. It contains twice as many five's as ten's and the total amount of money in the cash register is 620 dollars. How many ten's are in the cash register?

Answers

Answer:

31

Step-by-step explanation:

Let number of ten dollar bills be x .

So, number of five dollar bills = 2 x

Total amount of money in the cash register = 620 dollars

Amount of money in total cash as a result of  five dollar bills = 2 x × 5 = 10 x  dollars

Amount of money in total cash as a result of  ten dollar bills =  x × 10 = 10 x dollars

According to question ,

Total amount of money in the cash register = Amount of money in total cash as a result of  five dollar bills +  Amount of money in total cash as a result of  ten dollar bills

⇒ 620 = 10 x + 10 x

⇒ 620 = 20 x

⇒ x = [tex]\frac{620}{20}[/tex] = 31

So, number of ten dollar bills = 31

Final answer:

By setting up an algebraic equation based on the information provided, we can determine there are 31 ten dollar bills in the cash register.

Explanation:

To solve the question: A cash register contains only five dollar and ten dollar bills. It contains twice as many five's as ten's and the total amount of money in the cash register is 620 dollars. How many ten's are in the cash register? we need to use algebra.

Let's let x represent the number of ten dollar bills. Since the register contains twice as many five dollar bills as ten dollar bills, we can represent the number of five dollar bills as 2x.

The value of the ten dollar bills is 10x dollars, and the value of the five dollar bills is 5(2x) = 10x dollars. The total amount of money in the cash register is the sum of these values, which equals 620 dollars. So, we have the equation:

10x + 10x = 620

Simplifying, this becomes 20x = 620. Dividing both sides by 20 gives us x = 31.

Therefore, there are 31 ten dollar bills in the cash register.

Sock hop (ExH). You have 10 pairs of socks, fi ve black and fi ve blue, but they are not paired up. Instead, they are all mixed up in a drawer. It ’ s early in the morning, and you don ’ t want to turn on the lights in your dark room. How many socks must you pull out to guarantee that you have a pair of one color? How many must you pull out to have two good pairs (each pair is the same color)? How many must you pull out to be certain you have a pair of black socks?

Answers

Final answer:

You need to pull out 6 socks to guarantee a pair of one color, 11 socks to guarantee two pairs, and 7 socks to be certain you have a pair of black socks.

Explanation:

To guarantee that you have a pair of one color when selecting from a mix of 10 pairs of socks (5 black and 5 blue), you must consider the worst-case scenario. This occurs when you alternatively pick one of each color. Therefore, after picking 5 black and 4 blue socks, the next sock you pick will guarantee a pair. So, you need to pull out 6 socks to ensure a pair of one color (5 of one color and 1 of the other).

To have two good pairs, you would continue this pattern. After the first pair is secured with 6 pulls, you would possibly pick the alternating color for the next 4 pulls, and then any subsequent sock would complete a second pair of one color. In total, this would require pulling out 11 socks to ensure two pairs.

To be certain you have a pair of black socks, prepare for the possibility of pulling out all 5 blue socks first. After these 5, the next 2 socks you pull out will be black, giving you at least one pair of black socks. Therefore, you would need to pull out 7 socks to be certain.

A telephone pole is supported by a steel cable which extends from the top of the pole to a point on the ground 3 meters from its base. When Leah walks 2.5 meters from the base of the pole toward the point where the cable is attached to the ground, her head just touches the cable. Leah is 1.5 meters tall. How many meters tall is the pole?

Answers

We find that the telephone pole is 1.8 meters tall.

To figure out the height of the telephone pole, we can use similar triangles. Picture a right triangle formed by the telephone pole, the ground, and the wire, and another smaller triangle formed by Leah standing 2.5 meters from the pole, reaching the point where her head touches the wire 1.5 meters above the ground. Because these two triangles are similar, we can set up a proportion.

The large triangle's height is the height of the pole (H), and its base is 3 meters. The smaller triangle's height is Leah's height (1.5 meters), and its base is 2.5 meters. Using the similar triangles:

H (height of the pole) / 3 meters (distance from pole to cable ground attachment) = 1.5 meters (Leah's height) / 2.5 meters (Leah's distance from the pole)

H / 3 = 1.5 / 2.5

H = (1.5 / 2.5) * 3

H = 1.8 meters

Therefore, the telephone pole is 1.8 meters tall.

Natalie reads for 6/8 hour on 6 days each week. How many hours does Natalie read each week? Enter your answer by filling in the boxes.

Answers

Multiply the time per day by the number of days per week.

6/8 x 6 = (6 x 6)/8 = 36/8 = 4 1/2 hours a week.

Hey!

-------------------------------------------------

Answer:

[tex]\large\boxed{Natalie~reads~4~\frac{1}{2}~hours~a~week! }[/tex]

-------------------------------------------------

Solution:

~Turn six into improper fraction

6 = 6/1

~Multiply

6/8 * 6/1 = 38/8

~Simplify

38/8 = 4 1/2

-------------------------------------------------

Hope This Helped! Good Luck!

Please help me out with this!!!!!!!!

Answers

Answer:

f(- 3) = 5

Step-by-step explanation:

The absolute value always returns a positive value, that is

| - a | = | a | = a

Given

f(x) = | x - 2 |

To evaluate f(- 3) substitute x = - 3 into f(x)

f(- 3) = | - 3 - 2 | = | - 5 | = 5

Every day, there are 3 times more likes on an internet video of a cat which is modeled by the function c(n) = (3)n − 1, where n is the number of days since the video posted. On the first day, there were 143 likes. What is the function that shows the number of likes each day?
A. c(n) = (3)(143)^{n-1}
B. c(n) = 143^{n-1}
C. c(n) = (3)143 − n
D.143(3)^{n-1}

Answers

The function that represents the number of likes each day is[tex]\(c(n) = 143(3)^{n-1}\)[/tex]. Therefore, the correct answer is option D.

The function [tex]\(c(n) = (3)n - 1\)[/tex] models the number of likes each day, where [tex]\(n\)[/tex] is the number of days since the video was posted.

On the first day, there were 143 likes.

To find the function that shows the number of likes each day, we need to substitute [tex]\(n = 1\)[/tex] into the given function and solve for the number of likes.

Substituting [tex]\(n = 1\) into \(c(n) = (3)n - 1\)[/tex], we get:

[tex]\[c(1) = (3)(1) - 1\][/tex]

[tex]\[c(1) = 3 - 1\][/tex]

[tex]\[c(1) = 2\][/tex]

So, on the first day[tex](\(n = 1\)),[/tex] there were 2 likes. Since the problem states that there were actually 143 likes on the first day, the correct function should take this into account. Therefore, the correct function is:

[tex]\[c(n) = 143(3)^{n - 1}\][/tex]

Thus, the correct option is:

[tex]D. \(143(3)^{n-1}\)[/tex]

The correct function modeling the number of likes each day with 143 initial likes and tripling daily is:  [tex]\[ c(n) = 143 \times 3^{n-1} \][/tex]

This aligns with the given exponential growth pattern.

To determine which function models the number of likes each day, let's consider the following:

- The initial number of likes is 143. This is the base case.

- The function is described as having 3 times more likes each day. This suggests an exponential growth pattern.

To derive the correct function, we need to incorporate this growth rate into the initial likes:

Given the base case (the first day) has 143 likes, and the number of likes triples each day, the correct function should start with the initial likes (143) and then account for the exponential increase by multiplying by the growth factor raised to the appropriate power.

This can be represented mathematically as:

[tex]\[ c(n) = 143 \times 3^{n-1}. \][/tex]

Let's break it down:

- Exponential Growth: Multiplying by 3 every day suggests exponential growth with a base of 3.

- Initial Value : The function starts with 143 likes.

- Days Since Posting : The exponent  n-1 accounts for the base case.

If  n = 1 , then [tex]\( 3^{n-1} = 3^{0} = 1,[/tex] which preserves the initial value of 143.

This leads us to option D , which correctly models the number of likes each day:

[tex]\[ c(n) = 143 \times 3^{n-1}.[/tex]  

Question :

Every day, there are 3 times more likes on an internet video of a cat which is modeled by the function c(n) = (3)n − 1, where n is the number of days since the video posted. On the first day, there were 143 likes. What is the function that shows the number of likes each day?

A. c(n) = (3)(143)^{n-1}

B. c(n) = 143^{n-1}

C. c(n) = (3)143 − n

D.143(3)^{n-1}

Under fair value option, which of the following affects the income the investor recognizes from its ownership in the investee
A. The investees reported income adjusted for excess cost over book value amortization

B. Changes in the fair value of the investors ownership shares of the investee

C. Intra-equity profits from upstream sales

D. Extraordinary items reported by the investee

Answers

Answer:

B. Changes in the fair value of the investors ownership shares of the investee

Step-by-step explanation:

The fair value option is defined as the alternative for any business that helps them to record its financial instruments at their fair values.

The answer is : Changes in the fair-value of the investor's ownership in shares of the investee.

The chance of a hurricane hitting during any year in the area victor will move to is 0.10 . what is the probability victor will have a hurricane five years in a​ row?

Answers

Answer:

  10^-5 or 1/100,000

Step-by-step explanation:

That probability of 5 events in a row is the 5th power of the probability of one of them, assuming they are independent.

  0.1^5 = (10^-1)^5 = 10^-5

Final answer:

The probability of a hurricane hitting five years in a row, given an annual probability of 0.10, is calculated by raising 0.10 to the power of 5. The result is 0.00001, or 0.001%.

Explanation:

The probability of a hurricane hitting during any one year in the designated area is 0.10, making it a fairly rare event. The student wants to know what the probability is that this will occur five years in a row. In probability theory, we calculate the likelihood of independent events happening consecutively by multiplying their individual probabilities together.

In this example, each year is an independent event, meaning one year's hurricane occurrence does not impact the likelihood of a hurricane in the subsequent year. Given that the annual probability of a hurricane is 0.10, if we want to find the probability of a hurricane hitting for five consecutive years, we simply raise this probability to the power of 5.

So, the probability of Victor experiencing a hurricane five years in a row is 0.10 to the power of 5, equivalently written as (0.10)^5.

This equals 0.00001 (or 0.001% if written as a percentage). This demonstrates that the likelihood of experiencing a hurricane five years in a row given an annual probability of 0.10 is quite miniscule.

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Alexis has two ribbons one of the Rubens is 40 cm long and the other is 70 m long she wants to cut a trip into equal pieces of the same like with no ribbon left over what is the longest length she can cut the ribbons in centimeters

Answers

Answer: 17.5cm

Steps: 70m = 700cm

40cm = 40cm

700cm/40cm

=17.5cm

vous êtes les bienvenus, baisers cher!

Answer:

40 cm

Step-by-step explanation:

She has one ribbon of 40 cm and another ribbon of 70 m

First, we have to change 70 m to cm, to do this we know that 1m = 100 cm

so we multiply 70*100 = 7,000 cm.

Now we have to find the longest length she can cut the ribbons in centimeters.

To do this we have to find the Greatest Common Factor of 40 and 7000 to know what is the longest length she can cut the ribbons.

To find the Greatest Common Factor we have to find the factors for each number:

Factors of 40:

1, 2, 4, 8, 10, 20, 40

Factors of 7000

1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 40

The Greatest Common Factor is 40, so she can have pieces of 40 cm long.

What is the converse and the truth value of the converse of the following conditional:
If an angle is 60 degrees, then it is acute.

Answers

Answer:

converse: If an angle is acute, then it is 60°.the converse is FALSE

Step-by-step explanation:

The converse of a conditional swaps the "if" and "then" clauses. Here, that makes the converse read ...

  If an angle is acute, then it is 60 degrees.

Since an acute angle may have any non-negative measure less than 90°, it is not true that its measure is necessarily 60°.

Anna has the following averages in his math class:
Homework Avg: 95
Quiz Avg: 90
Test Avg: 87
Final Exam: ??

If the teacher weights homework at 20%, Quizzes at 20%, Test at 40%, and the final exam at 20%, what is the minimum grade Anna can make on the final so that she scores a 90 in the class?

a. 86 c. 94


b. 91 d. 98

Answers

Answer: Option 'b' is correct.

Step-by-step explanation:

Since we have given that

Average marks in Homework = 95

Average marks in Quiz = 90

Average marks in Test = 87

According to question, we have that the teacher weights homework at 20%, Quizzes at 20%, Test at 40%, and the final exam at 20%

Total score in the class = 90

So, Score of homework is given by

[tex]0.2\times 95\\\\=19[/tex]

Score of Quiz is given by

[tex]0.2\times 90\\\\=18[/tex]

Score of test is given by

[tex]0.4\times 87\\\\=34.8[/tex]

So, it becomes,

[tex]19+18+34.8+x=90\\\\71.8+x=90\\\\x=90-71.8\\\\x=18.2[/tex]

So, minimum grade Anna can make on the final is given by

[tex]\dfrac{20}{100}\times y=18.2\\\\y=\dfrac{18.2}{0.2}\\\\y=91[/tex]

Hence, Option 'b' is correct.

Please help me with this problem..........

Answers

Answer:

y= 2/3x + 3

Step-by-step explanation: I suggest to look up slope intercept calculator it really helps.

Answer:

y = [tex]\frac{2}{3}[/tex] x + 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange - 2x + 3y = 9 into this form

Add 2x to both sides

3y = 2x + 9 ( divide all 3 terms by 3 )

y = [tex]\frac{2}{3}[/tex] x + 3 ← in slope- intercept form

Write your own word problem that can be translated into the mathematical sentence 2x + 4 = 10. What does the variable x represent in your problem?

Answers

Answer:

A number

Step-by-step explanation:

the sum of four and two of a number = equals ten

Final answer:

The created word problem involves Sam and his apples. Here, the variable 'x' represents the number of apples Sam's friend has. By solving the equation, we deduce that Sam's friend has 3 apples, so Sam originally had 10 apples.

Explanation:

Let's create a word problem for the equation 2x + 4 = 10:

Sam has twice as many apples as his friend. If Sam gives 4 apples to his friend, he will only have 10 apples left. How many apples did Sam have originally?

In this problem, the variable 'x' represents the number of apples Sam's friend has. Therefore, to solve the problem, you would subtract 4 from both sides of the equation to get 2x = 10 - 4. Simplifying gives you 2x = 6. Finally, dividing both sides of the equation by 2 gives you x = 3. So, Sam's friend has 3 apples, meaning Sam originally had 2 * 3 + 4 = 10 apples.

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Shiela is 1.7m tall. Her son is 109cm tall. How many meters taller is Shiela than her son?


__m

Answers

Shiela is 0.61 meters taller than her son.

Answer:

Sheila is 0.61 meters taller than her son.

Step-by-step explanation:

First, you would convert 109 cm into meters. Once converted, Sheila's son would be 1.09. Then you would subtract 1.09 from 1.7 to find your answer!

Solve for x.
-43 = x/8
Simplify your answer as much as possible.

Answers

Answer:

x = -8(-43)

x = 344 is the solution

In this you need to solve for x
For solve for x you have to multiply both side by 8

And you answer should equal
X= -344
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