Answer:
D) log n = 4 log 2Step-by-step explanation:
Given
log₂ n = 4Compare the given with the options to identify equivalents
A)
log n = log 2 / 4 log₂ n / log₂ 10 = 1/ log₂ 10 ÷ 4log₂ n = 1/4Not equivalent
B)
n = log 2 / log 4n log 4 = log 2n log₂ 4 / log₂ 10 = 1 / log₂ 10n log₂ 4 = 1Not equivalent
C)
n = log 4 × log 2n = log₂ 4/ log₂ 10 × 1/ log₂ 10n = 2 /(log₂ 10)²n (log₂ 10)² = 2Not equivalent
D)
log n = 4 log 2log₂ n / log₂ 10 = 4 × 1/log₂ 10log₂ n = 4Equivalent
What< and > this stand for??
Answer:
< lesser to
>greater to
Answer: < less than
> greater than
Step-by-step explanation: hope this helps!!!
What is the volume of the die?
Answer:
3375
Step-by-step explanation:
Because you need to do length x width x height
Kinleigh makes gift baskets to sell. The first day she made 3 baskets. Each day she plans on making 2 more baskets than the previous day. If there are 12 total work days until the day she begins to sell the baskets, how many total baskets will she have to sell?
Answer:
168 baskets
Step-by-step explanation:
i did it the dumb way and just did 3+5+7+9+11+13+15+17+19+21+23+25 = 168
Will mark brainliest.
Mimi opened a savings account 6 years ago. The account earns 1% interest, compounded monthly. If the current balance is $1,000.00, how much did she deposit initially?
Round your answer to the nearest cent.
Answer: the initial amount is $941.6
Step-by-step explanation:
We would apply the formula for determining compound interest which is expressed as
A = P(1 + r/n)^nt
Where
A = total amount in the account at the end of t years
r represents the interest rate.
n represents the periodic interval at which it was compounded.
P represents the principal or initial amount deposited
From the information given,
A = $1000
r = 1% = 1/100 = 0.01
n = 12 because it was compounded 12 times in a year.
t = 6 years
Therefore,.
1000 = P(1 + 0.01/12)^12 × 6
1000 = P(1 + 0.00083)^72
1000 = P(1.00083)^72
1000 = 1.062P
P = 1000/1.062
P = $941.6
PLZ HELP ASAP GEOMETRY
Answer:
D.
Step-by-step explanation:
Suppose that $6500 is placed in an account that pays 3% interest compound each year. Assume that no withdrawals are made from the account
Find the amount in the account at the end of 1 year
Find the amount in the account at the end of 2 years
Answer:
1 year:
The amount is $6695 and the interest is $195
2 years:
The amount is $6895.85 and the interest is $395.85.
The balance in the account at the end of 1 year would be approximately $6695 and at the end of 2 years would be approximately $6899.85 with an initial investment of $6500 with a 3% interest rate compounded annually.
Explanation:The subject of this question is compound interest. When an amount of money is placed in an account with a certain interest rate, the amount grows over time. In this case, the initial investment is $6500 and the interest is compounded annually at a rate of 3%.
To calculate the total amount in the account after a certain period, you can use the following formula:
A = P(1 + r/n)^(nt)
A is the amount of money accumulated after n years, including interest. P is the principal amount (the initial amount), r is the annual interest rate (in decimal), n is the number of times that interest is compounded per year, and t is the time in years.
Applying this formula to the problem: for the end of first year, t=1, we will have:
A=6500(1 + 0.03/1)^(1*1) ≈ $6695
For the end of 2 years, t=2, we will get:
A=6500(1 + 0.03/1)^(1*2) ≈ $6899.85
Therefore, the balance in the account at the end of 1 year would be approximately $6695 and at the end of 2 years would be approximately $6899.85. Assume there are no withdrawals from the account during this period.
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Maya decided to paint some of the rooms in her hotel. She found out that a room required 3/2 cans of paint. If Maya buys 9 cans of paint, how many rooms can she paint?
Answer:
She can paint 6 rooms.
Step-by-step explanation:
Given:
Maya decided to paint some of the rooms in her hotel. She found out that a room required 3/2 cans of paint.
If Maya buys 9 cans of paint.
Now, to find the rooms she can paint.
So, we use unitary method to get the number of rooms:
If, [tex]\frac{3}{2}[/tex] cans of paint is needed to paint 1 room.
Then, 1 can of paint is needed to paint = [tex]\frac{1}{\frac{3}{2}} =\frac{2}{3}[/tex] room.
Thus, 9 cans of paint is needed to paint = [tex]\frac{2}{3} \times 9[/tex]
[tex]=\frac{18}{3} \\\\=6\ rooms.[/tex]
Therefore, she can paint 6 rooms.
9a=81 a=? Please help
Tim and Cynthia leave Cynthia's house at the same time. Tim drives north and Cynthia drives west. Tim's average speed is 10 mph slower than Cynthia's. At the end of one hour, they are 70 miles apart. Find Cynthia's average speed. (Round your answer to the nearest tenth.)
Answer:
54.2 mph
Step-by-step explanation:
Since the drivers leave at the same time and travel in directions 90° from each other, their separation speed can be found using the Pythagorean theorem. Let c represent Cynthia's average speed. Then (c-10) will represent Tim's average speed. Their combined separation speed is 70 miles per hour, so we can write ...
70² = c² +(c -10)²
4900 = 2c² -20c +100 . . . . eliminate parentheses
c² -10c -2400 = 0 . . . . . . . . divide by 2; put in standard form
(c -5)² -2425 = 0 . . . . . . . . . rearrange to vertex form
c = 5 ±5√97 . . . . . . . . . . . . solve for c, simplify radical
c ≈ 54.244 ≈ 54.2 . . . . . . . use the positive solution
Cynthia's average speed was 54.2 miles per hour.
Chase halls health insurance cost $373.50 per month he must pay 25% of the amount and his employer pay 75% of the amount how much does mr hall pay for health insurance each month
Answer:
$93.38
Step-by-step explanation:
To solve this, we simply multiple $373.50 by 25% to figure out how much Mr.Hall pays for health insurance each month. Don't forget that we need to change 25% to its decimal form (25% -> 0.25).
$373.50 x 0.25 = $93.38
Mr.Hall must pay $93.38 dollars a month for his health insurance.
Which of the following probabilities is the greatest for a standard normal distribution?
Answer:
The Correct choice is: p(-0.5≤z≤0.5) .
Answer:
It's B on Edg
Step-by-step explanation:
I just took the test
Nasim is making hot sauce. She puts in chile peppers and tomatoes in a ratio of 1 to 3. If she puts in 9 tomatoes, how many chile peppers should she put in?
Answer: 3
Step-by-step explanation:
Nasim is making hot sauce. Nasim puts in chile peppers and tomatoes in a ratio of 1 to 3.
Assuming Nasim puts in 9 tomatoes, the number of chile peppers should she put will be:
Ratio of chile peepers to tomato= 1;3
Since she put 9 tomatoes, chile peppers= (1×9)/3 = 9/3 = 3.
For 1 chile peeper, there'll be 3 tomatoes.
For 3 chile pepper, thee will be 9 tomatoes.
Answer: She needs to add 3 chile peppers.
Step-by-step explanation:
The ratio of chile peppers to tomatoes is 1:3
this means that for each 3 tomatoes, she puts one chile pepper.
Then if she puts 9 tomatoes, this means that she puts 3 tomatoes 3 times.
And we know that for each 3 tomatoes she needs to add 1 chile pepper, then she needs to add 1 chile pepper 3 times:
3*1 = 3 chile peppers.
She needs to add 3 chile peppers.
evaluate 3/2 y - 3 + 5/3 z
when y = 6 and z= 3
Answer:
Step-by-step explanation:
Substitute the numbers in for y and z.
3/2(6)+5/3(3)-3
9+5-3
14-3=11
answer: 11
Mitchell received a stipend at the beginning of the semester to buy textbooks. During the semester, he spent $429.17 on textbooks. He had $77.85 of the stipend left at the end of the semester How much was Mitchell's stipend? A. $584.87 B. $351.32 C. $390.25 D. $507.02
Final answer:
(Option D)Mitchell's stipend was $506.02.
Explanation:
To find out how much Mitchell's stipend was, we can subtract the amount he spent on textbooks from the amount he had left at the end of the semester.
Let's assume Mitchell's stipend was X dollars.
He spent $429.17 on textbooks, so the remaining amount would be X - $429.17.
We know that he had $77.85 left, so we can set up the equation:
X - $429.17 = $77.85
Now, we can solve for X:
X = $77.85 + $429.17 = $506.02
So, Mitchell's stipend was $506.02. This corresponds to answer (Option D).
Avery has a new job making smoothies at jumble juices.She got her first paycheck for 2 weeks of work.Her gross income was $450.Jumble juices withheld $58.50 in federal income tax and $26.70 in other taxes.What is avery's net income for the two weeks?
Answer:
$364.8
Step-by-step explanation:
To find the net income, we subtract deductions from the gross income. Deductions mainly include federal taxes/PAYE, NHIF, NSSF, Morgage loans. Therefore expressed as
Net income= Gross income- Deductions
Given information
Gross income=$450
Deductions
$58.5+$26.7=$85.2
Net salary will be $450-$85.2=$364.8
Therefore, rhe net salary will be equivalent to $364.8
You invest $2,800 in an account that pays an interest rate of 6.5% compounded continuously calculate the balance of your account after 19 years. Round your answer to the nearest hundredth
Answer:
$9627.46
Step-by-step explanation:
-The amount after 19 years for a 6.5% compounded continuously is given by the formula:
[tex]A=Pe^{rt}[/tex]
Where:
A is the final amount after investment
P is the initial amount invested
r is the stated annual interest rate.
t is period of investment
#We then substitute our values in the equation to solve for A:
[tex]A=Pe^{rt}\\\\=2800e^{19\times 0.065}\\\\=9627.46[/tex]
Hence, the amount after 19 years is $9,627.46
3h=15 solve the equation
Answer:5
Step-by-step explanation:PLS GIVE ME BRAINLIEST
Value of h is 5 for 3h=15.
An equation is a mathematical statement that shows that two mathematical expressions are equal. It is used to calculte the values of the variable such they satisfy the expression on both the side of the equal symbol. The equation may involve one variable, two variables, three variable,s and so on.
Given equation:
3h=15
This is an equation in one variable, which can be solved by transposition.
To calculate the value of h
On dividing 3 both sides,
3h/3=15/3
h=5
Thus , for equation 3h=15, value of h is 5
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On Monday, 343 students went on a trip to the zoo. All 8
buses were filled and 7 students had to travel in cars. How many students were
in each bus ?
Answer:
42
Step-by-step explanation:
343-7 equals to 336
divide it by 8, for 8 buses, there would be 42 in each bus
how to find the volume of a right rectangular prism
Answer: i believe it's v=whl... is this correct?
Step-by-step explanation:
Callie evaluated the expression (8-2*2)3 to find 448. However, Callie’s calculations below are incorrect. Find the correct value of the expression (8-2*2)3 and explain where Callie made a mistake.
Answer:
64
Step-by-step explanation:
Callie is incorrect because of the way she distributes the exponent inside the brackets. This is what she did:
[tex](8 - 2*2)^3 = 8^3 - (2*2)^3 = 512 - 4^3 = 512 - 64 = 448[/tex]
The correct calculation should be done inside the bracket first, then the exponent outside
[tex](8 - 2*2)^3 = (8 - 4)^3 = 4^3 = 64[/tex]
Answer:
In step 1, when Callie distributed the One-half to the 8, she multiplied incorrectly.
Step-by-step explanation:
allie solved this one-variable equation. When she was done, she tried to verify her answer, but found that it was wrong. Can you find her mistake?
1
2
(4k + 8) = 10
1. 2k + 16 = 10
2. 2k = −6
3. k = −3
What was Callie’s mistake?
Callie should have added 10 to both sides in step 2.
In step 1, when Callie distributed the One-half to the 8, she multiplied incorrectly.
Callie divided by 2 instead of multiplying by 2 in step 3.
Callie should have added 16 to both sides in step 2.
help someone ???
its due today
Answer:
y = 3/5
Step-by-step explanation:
Step 1: Flip the equation.
−5y=−3
Step 2: Divide both sides by -5.
After dividing both sides by 5, they should cancel out, leaving you with 3/5.
Round answer to the nearest hundredth if necessary. If YV= 28in, find the length of VYX
Answer:
282°
Step-by-step explanation:
VYX = 360° - (YW + 15°)YW = 180° - 117° = 63°VYX = 360° - (63° + 15°) = 360° - 78° = 282°To find the length of VYX, use the Pythagorean theorem and set up an equation to solve for the length by squaring the lengths of the other sides and adding them together. Then, take the square root of the sum to find the length of VYX.
Explanation:To find the length of VYX, we can use the Pythagorean theorem. In a right triangle, the square of the hypotenuse (VYX) is equal to the sum of the squares of the other two sides (VY and YX). Since we know VY (28 inches), we can solve for the length of VYX
Using the Pythagorean theorem: (VYX)2 = (VY)2 + (YX)2
Plugging in the values: (VYX)2 = (28)2 + (YX)2
Since the question asks for the length of VYX, we can take the square root of both sides to find the length of VYX: VYX = √[(28)2 + (YX)2]
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Si un cono lo obtienes haciendo girar un triángulo rectángulo cuya base es de 10cm y su altura es de 16cm ¿cuánto mide el radio de la base del cono?
Answer:
10 cm.
Step-by-step explanation:
In order to better understand this question, I will attach an allusive image to the question.
Keep in mind that in this case the base of the triangle is equal to the radius of the base of the cone since the triangle rotates on its own axis, therefore the measurement of the base corresponds to 10 cm, therefore the radius measures 10 cm.
If the smaller pyramid has a surface area of 25.49 ft2, what is the surface area of the larger pyramid? Round to the nearest hundredth.
height 6 small pyramid
height 15 large pyramid
Answer:
[tex]A = 159.31\,ft^{2}[/tex]
Step-by-step explanation:
Let consider that both pyramid are simmilar. The surface area of the pyramid is directly proportional to the square of the height is:
[tex]A = (25.49\,ft^{2})\cdot \left(\frac{15\,ft}{6\,ft} \right)^{2}[/tex]
[tex]A = 159.31\,ft^{2}[/tex]
Edith will be handing out school spirit ribbons in class on Monday. She needs 50 ribbons that are each 20 cm long — a total of 1,000 cm of ribbon — but the fabric store only sells ribbons by the meter.
How many meters of ribbon does Edith need?
A.
100,000 m
B.
1 m
C.
0.1 m
D.
10 m
Answer:
It would be 10 because 1000 cm equals 10 m
Enjoy :]
Step-by-step explanation:
Edith needs 10 meters of ribbon to make all 50 school spirit ribbons. To convert from centimeters to meters, we divide by 100. Therefore, 1,000 centimeters is equal to 10 meters.
Explanation:To answer how many meters of ribbon Edith needs, we first need to understand the relationship between centimeters and meters. In one meter, there are 100 centimeters. Thus, to convert centimeters to meters, we can divide by 100.
Edith needs a total of 1,000 cm of ribbon. In order to convert this to meters, we would do the following calculation: 1000 cm ÷ 100 = 10 meters.
So, the correct answer is D. 10 m. Edith needs to buy 10 meters of ribbon from the fabric store. This is necessary to have enough ribbon to make all 50 school spirit ribbons that are each 20 cm long.
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Find the value of 4x^2– 2y when x = 3 and y = 2.
Answer:
The answer is 32.
Step-by-step explanation:
Remember that order of operation is very important in this problem.
Substitute x for 3 and y for 2 in the equation.
When solving the first term, we must note that we have to square the 3 first before we multiply it by 4. So, 4(3)^2 is basically 36. To simplify the second term you just have to do 2*2, which is 4. 36-4=32, which is the answer.
Final answer:
The value of the expression 4x² - 2y when x = 3 and y = 2 is 32, found by substituting the values of x and y into the expression and simplifying.
Explanation:
To find the value of 4x² - 2y when x = 3 and y = 2, we need to substitute these values into the expression.
Start by substituting x with 3: 4(3)² = 4(9) = 36.Next, substitute y with 2: -2(2) = -4.Now, combine these results: 36 - 4 = 32.So, the value of the expression 4x² - 2y when x = 3 and y = 2 is 32.
Dracula's mortgage payment was $1,250 is automatically deducted from his paycheck each month. His company has decided to pay his mortgage as a bonus for the next 17 months. Dracula removes his mortgage deduction from his monthly paychecks. How much money does Dracula gain from this bonus?
Answer:
He will $21250
Step-by-step explanation:
If $1250 will be paid from Dracula bonus for the next 17 month, then on this paycheck, he will gain
17*1250 = $21250
Edgardo has a drink cooler that holds 4 gallons of water. He is filling the cooler with a 1−quart container. How many times will he have to fill the quart container to fill the cooler?
Answer:
16 times
Step-by-step explanation:
Given:
Edgardo has a drink cooler that holds 4 gallons of water.
He is filling the cooler with a 1−quart container.
Question asked:
How many times will he have to fill the quart container to fill the cooler?
Solution:
Capacity of container = 1 quart
As we know:
1 quart = 0.25 gallon
Edgardo has to fill drink cooler having capacity of 4 gallons.
0.25 gallon is filled by filling the container = 1 time
1 gallon is filled by filling the container = [tex]\frac{1}{0.25}[/tex] times
4 gallons is filled by filling the container = [tex]\frac{1}{0.25}\times4=16\ times[/tex]
Thus, he will have to fill the quart container 16 times to fill the cooler.
As of a certain date, 94,696 of the four-character sequences using either letters or digits had not yet been claimed. If a four-character name is randomly selected on that date, what is the probability that it is already owned? (Round your answer to four decimal places.)
Answer:
Hence the probability that are already owned are 0.943620
Step-by-step explanation:
Given:
No fo character sequences using either letter or digits had not been claimed=94696
To find :
What is probability that letter are already claimed ?
Solution:
We know that there are 26 alphabets and digits are 0,1,2.. 9
Hence total will be of 36.
Now we are going to Arrange the sequence for all possible values
as there 4 characters we get ,each of them with 36 possible values
=36*36*36*36
=36^4
=1679616.
Now we have a sequence with 94696 character and digits are not claimed .
Its probability
=94696/1679616
=0.05637.
So the required probability will be ,
P(claimed)=1- P(Not claimed)
= 1-0.056379
=0.943620
Hence the probability that are already owned are 0.943620
The combined average weight of an okapi and llama is 450 kg average weight of three llamas is 190 more than average weight of an oak park on average how much does an UGG Poway and how much does a llama way
Answer:
The average weight of okapi is 290 kg
The average weight of llama is 160 kg
Step-by-step explanation:
To solve the question, we are to resolve the word problem as follows;
Let the average weight of Okapi be X
The average weight of llamas be Y
X + Y = 450 and
3 Y = X + 190
Solving the above simultaneous equation, we have
X = 450 - Y
∴ 3·Y = 450-Y+190
4·Y =640
Y = 160 and X = 450 - 160 = 290
Therefore, the average weight of okapi = 290 kg while the average weight of llama = 160 kg.