Please help!!!!!!!!!!!!

Please Help!!!!!!!!!!!!

Answers

Answer 1

Answer:

t = 0.77

Step-by-step explanation:

f(t) = 11 × (1.5^t)

f(t) = 15

11 × (1.5^t) = 15

1.5^t = 1.364 (3d.p)

log1.5(1.364) = t

t = 0.77 (2d.p)


Related Questions

When buying groceries at the store for this dinner, you can spend no more than $100. Some costs are fixed, like spices and piecrusts. That total comes to $65. The turkey, however, is priced per pound. The suggestion is that you plan for 1.5 pounds of turkey per guest. If the turkey costs $1.16 per pound, what is the largest size turkey you should buy and how many people can it feed?

Answers

Answer:

20 full people

Step-by-step explanation:

100-65=35

35/1.16= 30.1724

30.1724/1.5=20.1149

You can't feed a .1149 of a person so 20 people

Final answer:

Given the maximum budget and cost per pound, the largest turkey you can purchase is approximately 30.17 pounds. This will feed about 20 guests, considering each person consumes 1.5 pounds of turkey.

Explanation:

The subject of this question is mathematics, specifically, problem-solving involving budgets and limits. Given that the maximum budget for this dinner is $100 and the fixed costs total to $65, we're left with $35 for the turkey. Each pound of turkey is priced at $1.16.

By dividing the remaining amount of money (which is $35) by the cost per pound of turkey (which is $1.16), we compute the total pounds of turkey we can afford. That is, $35 / $1.16 = approximately 30.17 pounds.

Each guest requires 1.5 pounds of turkey, so we now calculate how many guests can be fed by this amount of turkey. We do this by dividing the total pounds of turkey (30.17 pounds) by the amount required per guest (1.5 pounds), which gives us 30.17 / 1.5 = approximately 20.11. Since you can't invite a fraction of a person, the largest size turkey you can afford can feed about 20 people.

Learn more about Problem Solving here:

https://brainly.com/question/31606357

#SPJ11

Help!!! Can somebody answer this question and please explain how to do it?

Answers

hello! so when you multiply exponents, you add them. for multiplying coefficients, you just regularly multiply them. so the answer would be 15x^7y^5. have a good day!

Good evening ,

Answer:

15x⁷y⁵.

Step-by-step explanation:

5x³y²×3x⁴y³ = (5×3)(x³x⁴)(y²y³) = 15x⁷y⁵.

:)

Pls help me ASAP it needs to be turned in today pls help

Answers

Answer:

13x-12 the last one

Step-by-step explanation:

Answer:

13x-12

Step-by-step explanation:

4(3x-5)+x+8

12x-20 +x+8

13x-12

E
1. If 3x + 7x + 9 = 35, then x= ?

Answers

Answer:

Step-by-step explanation:

16

Final answer:

The value of x in the equation 3x + 7x + 9 = 35 is 2.6 after simplification and carrying out the necessary algebraic steps.

Explanation:

The subject of your question is Mathematics, specifically algebra. Now, let's solve the equation: 3x + 7x + 9 = 35.

To start, combine like terms on the left side of the equation. That gives us 10x + 9 = 35. Next, subtract 9 from both sides to isolate the term with x. This gives us 10x = 26. Finally, divide both sides by 10 to find the value of x. So, x = 2.6.

Learn more about Algebra here:

https://brainly.com/question/32436021

#SPJ2

This scale drawing of a rectangular wall has dimensions 4.75 inches by 2.5 inches. The length of the shorter side of the actual wall is 36 inches.




Enter the area of the actual wall.
I will mark the first one who answers me brainleist


_[blank]_ square inches

Answers

Answer:

2462.4 square inches

Step-by-step explanation:

To find the length of the longer wall use the following ratio and solve for x.

x/36= 4.75/ 2.5

x= 68.4

Area of a rectangle = l(w)

68.4(36)= 2462.4 square inches

The area of the wall is the product of its dimension.

The area of the actual wall is  2462.4 square inches

The scale is given as:

[tex]\mathbf{Scale = 4.75 : 2.5}[/tex]

The shorter side of the actual wall is 36 inches.

So, we have:

[tex]\mathbf{Long : 36= 4.75 : 2.5}[/tex]

Express as fractions:

[tex]\mathbf{\frac{Long }{36}= \frac{4.75 }{ 2.5}}[/tex]

Multiply both sides by 36

[tex]\mathbf{Long= 36 \times \frac{4.75 }{ 2.5}}[/tex]

[tex]\mathbf{Long= 68.4}[/tex]

So, we have:

[tex]\mathbf{Long= 68.4}[/tex]

[tex]\mathbf{Short= 36}[/tex]

The area is then calculated as:

[tex]\mathbf{Area = 68.4 \times 36}[/tex]

[tex]\mathbf{Area = 2462.4in^2}[/tex]

Hence, the area of the actual wall is  2462.4 square inches

Read more about areas at:

https://brainly.com/question/2602591

1. What is the percent change from 1000 to 80?
2. What is the percent change from 45 to 63?
3. What is the percent change from 250 to 60?
4. What is the percent change from 60 to 99?

Answers

Step-by-step explanation:

1.-92%

2.40%

3.-76%

4.65%

The percent changes for each scenario is: 1. From 1000 to 80: -92% 2. From 45 to 63: +40% 3. From 250 to 60: -76% 4. From 60 to 99: +65%.

To calculate the percent change between two values, we use the formula:

[tex]\[ \text{Percent Change} = \left( \frac{\text{New Value} - \text{Original Value}}{\text{Original Value}} \right) \times 100\% \][/tex]

1. The percent change from 1000 to 80 is calculated as follows:

[tex]\[ \text{Percent Change} = \left( \frac{80 - 1000}{1000} \right) \times 100\% = \left( \frac{-920}{1000} \right) \times 100\% = -92\% \][/tex]

So, the percent change is a 92% decrease.

2. The percent change from 45 to 63 is calculated as follows:

[tex]\[ \text{Percent Change} = \left( \frac{63 - 45}{45} \right) \times 100\% = \left( \frac{18}{45} \right) \times 100\% = \frac{2}{5} \times 100\% = 40\% \][/tex]

So, the percent change is a 40% increase.

3. The percent change from 250 to 60 is calculated as follows:

[tex]\[ \text{Percent Change} = \left( \frac{60 - 250}{250} \right) \times 100\% = \left( \frac{-190}{250} \right) \times 100\% = -76\% \][/tex]

So, the percent change is a 76% decrease.

4. The percent change from 60 to 99 is calculated as follows:

[tex]\[ \text{Percent Change} = \left( \frac{99 - 60}{60} \right) \times 100\% = \left( \frac{39}{60} \right) \times 100\% = \frac{13}{20} \times 100\% = 65\% \][/tex]

So, the percent change is a 65% increase.

Which of these is usually true of a convenience sample?

A. It consists of the entire population.
B. It is randomly chosen.
C. It gives reliable results.
D. It excludes those who are indifferent.

Answers

Answer:

The correct answer is C = It gives reliable results

Answer:

D. it excludes those who are indifferent

Step-by-step explanation:

48 in Long and 36 inches wide what is the area in square feet

Answers

Answer:

Area = 12 ft²

Step-by-step explanation:

Convert values to feet

12 inches = 1 foot

48 / 12 = 4 feet

36 / 12 = 3 feet

Area = l x w = 3 x 4 = 12 ft²

Answer: The answer is 1,728 in. squared

Step-by-step explanation:

All you do is multiply 48 by 36 because in order to get area,you multiply base and height.

A card is randomly selected from a standard deck of 52 playing cards. What is the probability that it is a face card or a spade?

Answers

Answer:

8/13.

There's 12 face cards & 26 black cards. In the 26 black cards, theres 6 face cards. Theres 32 cards overall that is either a black card or a face card. So in conclusion the answer is 8/13 because 52 (the total amt in the deck) divided by 32 = 8/13.

The probability of randomly selecting either a face card or a spade from a standard deck of 52 playing cards is approximately 0.4231.

The question involves calculating the probability of selecting either a face card or a spade from a standard deck of 52 playing cards. A standard deck consists of four suits (spades, hearts, diamonds, clubs), each with 13 cards, making a total of 52 cards. Among these, 12 are face cards (Jacks, Queens, Kings across all suits), and 13 are spades (including the spade face cards).

First, note that there are 3 face cards (Jack, Queen, King) in each suit, resulting in 12 face cards in total. However, 3 of these face cards are spades, and we must avoid double-counting them when adding the spade cards. Therefore, we have 12 face cards and 10 non-face card spades (since 3 spades are already counted among face cards), giving us a total of 22 unique cards that fulfill the conditions.

The probability of drawing either a spade or a face card from a deck of 52 cards is calculated by dividing the number of favorable outcomes (22) by the total number of outcomes (52), which is 22/52 or approximately 0.4231.

What is 724 times 41,000

Answers

724 times 41,000= 29,684,000! Hope this helped!
The answer is 29,684,000 !!

A number times 5,minus 6,is 8.

Answers

Answer:70

Step-by-step explanation:

You do the inverse operation which would be subtraction and multiplication. You add the 6 to the 8 and you get 14. Then you would multiply 14 by 5 to get 70. Hope this helps :D

Answer:

Step-by-step explanation:

5. The picture below shows the five houses on Maple Street and the five houses on Oak
Street.
6 Maple St.
_innnnn
Maple St.
4 Oak St.
SASA
Oak St.
. Each house number on Maple Street is six more than the house number to its left.
• Each house number on Oak Street is eight more than the house number to its left.
How much greater is the house number of the last house on Oak Street than the house
number of the last house on Maple Street

Answers

The last house on Oak Street has a house number 8 greater than the last house on Maple Street.

The correct answer is option C.

Let's denote the house numbers on Maple Street as M1, M2, M3, M4, and M5, where each house number is six more than the one to its left. Similarly, on Oak Street, denote the house numbers as O1, O2, O3, O4, and O5, where each house number is eight more than the one to its left.

For Maple Street:

M2 = M1 + 6

M3 = M2 + 6

M4 = M3 + 6

M5 = M4 + 6

For Oak Street:

O2 = O1 + 8

O3 = O2 + 8

O4 = O3 + 8

O5 = O4 + 8

Now, let's find the difference between the last house on Oak Street (O5) and the last house on Maple Street (M5):

The difference is (O4 + 8) - (M4 + 6) = (O3 + 8 + 8) - (M3 + 6 + 6) = (O2 + 8 + 8 + 8) - (M2 + 6 + 6 + 6) = (O1 + 8 + 8 + 8 + 8) - (M1 + 6 + 6 + 6 + 6).

Simplifying the expression, the constant terms cancel out, leaving:

The difference is O1 - M1 + (8 + 8 + 8 + 8) - (6 + 6 + 6 + 6) = O1 - M1 + 32 - 24 = O1 - M1 + 8.

So, the house number of the last house on Oak Street is 8 greater than the house number of the last house on Maple Street.

The question probable may be;

The picture below shows 5 houses on maple street anf the five houses on oak street.

Each house number on maple street is six more than the house number to its left. Each house number on oak street is eigth more than the house number to its left.

How much greater is the house number of the last house on oak street than the house number of the last house on maple street?

2

6

8

10

please send help my way ty :)​

Answers

Answer:

A. Graph C

Step-by-step explanation:

Starting from the y-intercept of [tex]\displaystyle [0, -4],[/tex]you do [tex]\displaystyle \frac{rise}{run}[/tex]by either moving one block south over four blocks west or one block north over four blocks east. Now, you have to figure out which graph follows the inequality symbol in the inequality. In this case, two answer choices match this because the less than inequality will result in a dashed line, so we can automatically eliminate answer choices D. and B.. Now, to figure out our graph once in for all, we need to use the zero-interval test [test point [0, 0]] to ensure if we either shade the opposite portion [the portion that does NOT contain the origin] or the portion that DOES contain the origin. We then need to verify it as false or true:

[tex]\displaystyle 0 < \frac{1}{3}[0] - 4 → 0 ≮ -4[/tex]

This is a FALSE statement, so instead of shading above the dashed line, we shade below the dashed line, and that answer choice is A..

>, < → Dashed Line

≥, ≤ → Solid Line

I am joyous to assist you anytime.

A ​used-boat dealership buys a boat for ​$2900 and then sells it for ​$4500. What is the percent​ increase?

Answers

Alright, so we have the difference = 4500-2800=1700. To find the percent increase, we do 1700/2800=around 0.61 = around 61% percent. Hope I helped! ☺☼

The sale price of a trampoline before tax is $300 the sales tax is 4% find the sales tax in the total price of the trampoline

Answers

The trampoline will attract a sales tax of $12 which will take its total price to $312.

The trampoline costs $300 without taxes being accounted for yet.

The tax is 4%. In dollar terms this is:

= Sales tax percentage x Cost of trampoline

= 4% x 300

= $12

The total price of the trampoline will therefore be:

= Cost of trampoline + sales tax

= 300 + 12

= $312

In conclusion, the sales tax would be $12 and the total price would be $312.

Find out more at https://brainly.com/question/20315171.

Y+1=2/5(x+3) in standard form?

Answers

For this case we have that by definition, the equation of a line in the standard form is given by:

[tex]ax + by = c[/tex]

According to the statement we have the following equation of the line:

[tex]y + 1 = \frac {2} {5} (x + 3)[/tex]

We manipulate algebraically to write in the standard form. To do this we follow the steps below:

We apply distributive property on the right side of the equation:[tex]y + 1 = \frac {2} {5} x + \frac {6} {5}[/tex]

We subtract [tex]\frac {6} {5}[/tex] on both sides of the equation:

[tex]y + 1- \frac {6} {5} = \frac {2} {5} x\\y- \frac {1} {5} = \frac {2} {5} x[/tex]

We multiply by 5 on both sides of the equation:

[tex]5y-1 = 2x[/tex]

We subtract 5y on both sides of the equation:

[tex]2x-5y = -1[/tex]

Finally, the equation in its standard form is:

[tex]2x-5y = -1[/tex]

Answer:

[tex]2x-5y = -1[/tex]

-0.06 m = 7.2

m =

what is m equal to.

Answers

Answer: m = -120

Step-by-step explanation: In this equation, m is being multiplied by -0.06 so we will need to divide both sides of the equation in order to get m b itself.

On the left side of the equation, the -0.06's cancel and we are left with m. On the right side of the equation, we divide -7.2 by -0.06 and we get -120.

Now we have m = -120

Don't just do this problem in your head. It's extremely important to develop the habit of putting all your steps down on paper/or digitally too. It will really pay off for you down the line.

Image provided.

L. - (6x - 5) = -6x +13​

Answers

Answer:

No Solution.

Step-by-step explanation:

-(6x-5)=-6x+13

-6x+5=-6x+13

-6x-(-6x)+5=13

-6x+6x+5=13

0+5=13

5=13

Answer:

Exact form : x=-1/3

Decimal form : x=-0.3 (line over the 3!!!)

Step-by-step explanation: Isolate the variable by divinding each side by factors that don't contain the variable.

Hope this helps you out! ☺

I’ll put you as brainiest

A 25 kilogram object is placed on a compression spring, and it creates a displacement of 0.15 meters.

What is the weight of an object that creates a displacement of 0.23 m on the same spring?

Answers

Answer:38.33 Kg

Step-by-step explanation:

If [tex]mKg[/tex] of mass is placed on spring with spring constant [tex]k[/tex],

[tex]mg=kx[/tex]

where [tex]g[/tex] is universal gravitational constant

[tex]x[/tex] is the displacement in the spring.

In case 1:

[tex]25g=k(0.15)\\k=\frac{25g}{0.15}[/tex]

In case 2:

[tex]mg=k(0.23)[/tex]

Using  result from case 1,

[tex]mg=\frac{25g}{0.15}\times 0.23[/tex]

[tex]m=[/tex][tex]38.33Kg[/tex]

Point P' is the translation of P (5, -5) under translation of 2 units to the left and 5 units up. What are the coordinates of P'?
(Graph up top)

(A.) (7, 0)

(B.) (7, 5)

(C.) (3, 5)

(D.) (3, 0) ​

Answers

Answer:

i dont know

Step-by-step explanation:

i dont know

Which of the following is a velocity?

Question 2 options:

30 m/s


30 m/s going down


30m


30s

Answers

Answer:

The velocity is the speed in a given direction hence the units are the same as that of speed, m/s. Thus the answer is 30 m/s.

Step-by-step explanation:

I do not understand the second option.

Please help me you guys

Answers

Answer:

g(x) = |x+3| - 5

Step-by-step explanation:

Let y = f(x)

⇒y = |x+3|

When y is replaced by Y + k, the graph of y = f(x) shifts k units down

⇒ y replaced by Y + 5 translates the graph of y = f(x) 5 units down

∴ Y = g(x) is represented by Y + 5 = |x+3|

⇒ Y = |x+3| - 5

or g(x) = |x+3| - 5

a countey fair charges $7 and $0.75 for each ride token. you have $15 write a exspression that represents the amount (in dollars) you have left after entering the fair and purchasing n tokens. how many tokens can you purchase? how much money do you have after purchasing 6 tokens​

Answers

Answer:

$3.50

Step-by-step explanation:

15.00 - 7.00 = 8.00

6 x .75 = 4.50

8.00- 4.5 = 3.50

The equation for the total amount for the fair and rides is given by the relation y = 0.75n + 7  where n is the total number of rides

The amount left after purchasing 6 tokens is $ 3.50

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the total amount be represented as = y

Now , the number of rides be = n

The cost of entry fee = $ 7

The cost for each ride = $ 0.75

The total amount available = $ 15

So , the equation will be

total amount = cost for each ride x number of rides + cost of entry fee

Substituting the values in the equation , we get

Total amount y = 0.75n + 7

y = 0.75n + 7

So , the equation is y = 0.75n + 7

Now , when purchasing 6 tokens , we get the remaining amount as

Substituting the value of n = 6 in the equation , we get

y = 0.75 x 6 + 7

y = 4.5 + 7

y = $ 11.5

So , the amount left = 15 - y

The total amount left = 15 - 11.5

The total amount left = $ 3.50

Hence , The equation for the total amount for the fair and rides is given by the relation y = 0.75n + 7  where n is the total number of rides

The amount left after purchasing 6 tokens is $ 3.50

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ5

Which of the following points lie in the solution set to the following system of inequalities?

y ≤ x − 5
y ≤ −x − 4

(1, 10)
(−1, 10)
(10, 1)
(1, −10)

Answers

Answer:

Step-by-step explanation:

y ≤ x − 5

1<10-5

1<5

Pair: (10,1)

y ≤ −x − 4

-10<-1-5

-10<-6

Pair: (1,-10)

Answer:

(1, −10)

Step-by-step explanation:

If we graph this system of inequalities, we could find the solution.

From the graph you can deduct that the only right answer is the last one (1,-10), because the area of solution is only for negative values of y.

Therefore, the right choice is the last one.

If you can't graph, you can try another method. If we replace the value in the system, it should satisfy it, that is, it should gives us a true result like 0<1 for example. Let's try

For x=1 and y=-10, we have

-10 ≤ 1 − 5

-10 ≤ −1 − 4

-10 ≤ -4

-10 ≤ -5

As you can see, the result is true, because -10 is less than -4 and -5, so that's the right answer.

4. Mitch took out a school loan for $24,000. The interest rate on the loan was 8%.
Mitch paid off the loan in just 5 years. How much did he pay altogether?
24000 0.08.5
p24000
R=0.08
T5 years
1920.5
u
9600+
I-

Answers

Mitch paid $ 33600 altogether

Solution:

Given that mitch took out a school laon for $ 24000

The interest rate on the loan was 8%

Number of years = 5

To find: total amount paid altogether

We can use simple interest to calculate the total amount

Total amount paid altogether = simple interest + principal amount

The simple interest is calculated as:

[tex]\text { simple interest }=\frac{\text { principal } \times \text {rate of interest } \times \text {number of years}}{100}[/tex]

Plugging in values, we get

[tex]\text { simple interest }=\frac{24000 \times 8 \times 5}{100}=240 \times 8 \times 5=9600[/tex]

Total amount paid altogether = simple interest + principal amount

Total amount paid altogether = 9600 + 24000 = 33600

Thus Mitch paid $ 33600 altogether

The Dowers make pumpkin pie. If each person wants three slices of pie,and each pie is Cut into 9 slices, how many pies do they need to make for 15 people?

Answers

Answer:

They need to make 5 pies for 15 people.

Step-by-step explanation:

15*3=45 slices of pie in total,

each pie is cut into 9 slices,

45/9=5 pies

16. WalkieTalkie phone company charges $18.00 for basic phone service per month and $0.15 per minute for long distance calls. Arena Calls charges $80.00 per month with no fee for long distance calls. What is the minimum number of minutes of long distance calls for which the cost of Walkie Talkie is more than the cost of Arena Calls?

Answers

Answer:

413 minutes of long distance calls

Step-by-step explanation:

$80.00 - $18.00 = $62.00

$62.00/$0.15 = 413.33

A school is arranging a field trip to the zoo. The school spends 875.49 dollars on passes for 29 students and 4 teachers. The school also spends 279.56 dollars on lunch for just the students. How much money was spent on a pass and lunch for each student?

Answers

Answer:

Money spent on each student is $36.17

Step-by-step explanation:

$875.49 = 29 students & 4 teachers

33 people = $875.49

1 person = $26.53 (pass)

29 students = $279.56

1 student = $9.64 (lunch)

each student = $9.64 + $26.53

= $36.17

the amount spent on a pass and lunch for each student is approximately $26.56 + $9.63 = $36.19.

To find out how much money was spent on a pass and lunch for each student, we need to calculate the total amount spent on passes and lunch and then divide it by the total number of students.

Given:

- Total amount spent on passes for 29 students and 4 teachers: $875.49

- Total amount spent on lunch for just the students: $279.56

- Total number of students: 29

1. First, let's find the total amount spent on passes for just the students:

  Total amount spent on passes for students and teachers = $875.49

  Total amount spent on passes for 4 teachers = ?

  Total amount spent on passes for students = $875.49 - (amount spent on passes for teachers)

  Since each pass costs the same amount for students and teachers, we can divide the total amount spent on passes by the total number of passes (students + teachers) to find the cost per pass.

  Total number of passes (students + teachers) = 29 students + 4 teachers = 33 passes

  Cost per pass = Total amount spent on passes / Total number of passes

                = $875.49 / 33

                ≈ $26.56 (rounded to two decimal places)

2. Now, let's find out how much money was spent on lunch for each student:

  Total amount spent on lunch for students = $279.56

  Cost per student for lunch = Total amount spent on lunch for students / Total number of students

                              = $279.56 / 29

                              ≈ $9.63 (rounded to two decimal places)

So, the amount spent on a pass and lunch for each student is approximately $26.56 + $9.63 = $36.19.

In 25 hour, Matt can type 45 page.
What is Matt's rate in pages per hour?

Answers

Answer: Matt's rate is 2 pages per hour.

Step-by-step explanation:

25 hours = 45 pages

1. First, let's divide 45 by 25 to find how much it takes for one page to be done: [tex]\frac{45}{25}[/tex] = 1.8

2. This answer means it takes 1.8 hours to do one page.

3. Now, we can choose to round 1.8, which is 2.

Sonia is making a quilted wall hanging that is 38 in wide.if each quilt square is 4 3/4 inches wide, how many squares will she need to complete one row of the wall hanging?

A. 6 1/2
B.8
C.42 3/4
D.190​

Answers

Answer:

b

Step-by-step explanation:

Other Questions
The law of independent assortment allows for genetic recombination. The following equation can be used to determine the total number of possible genotype combinations for any particular number of genes: 2g = Number of possible genotype combinations (where g is the number of genes)1 gene: 21 = 2 genotypes2 genes: 22 = 4 genotypes3 genes: 23 = 8 genotypesa) Consider the following genotype: YySsTt. How many different gamete combinations can be produced? In Cimabue's Madonna Enthroned with Angels and Prophets, the artist has revealed the formality and dignified presentation with careful structure and symmetry. This work also illustrated the influence Byzantine models. Which of the following best describes this work?a. It is the final summary of Byzantine art before its transformation.b. It is the final summary of Byzantine art.c. It is Byzantine art.d. It is Byzantine art transformed. Mary Stahley invested $4500 in a 48-month certificate of deposit (CD) that earned 9.5% annual simple interest. When the CD matured, she invested the full amount in a mutual fund that had an annual growth equivalent to 21% compounded annually. How much was the mutual fund worth after 10 years? (Round your answer to the nearest cent.) Determine the ratio of the relativistic kinetic energy to the nonrelativistic kinetic energy (1/2mv2) when a particle has a speed of (a) 2.71 x 10-3c. and (b) 0.855c. Look at the outline of the US Constitution below:The US ConstitutionI. __________II. Article I: The Legislative Branch A. Section 1 B. Section 2 C. Section 3 D. Section 4 E. Section 5 F. Section 6 G. Section 7 H. Section 8 I. Section 9 J. Section 10III. Article II: __________ A. Section 1 B. Section 2 C. Section 3 D. Section 4IV. Article III: The Judicial Branch A. Section 1 B. Section 2 C. Section 3V. Article IV: The States A. Section 1 B. Section 2 C. Section 3 D. Section 4VI. Article V: Amending the ConstitutionVII. Article VI: The Supremacy ClauseVIII. Article VII: RatificationIX. The __________ and AmendmentsWhich of the following correctly completes line IX. The __________ and Amendments in the outline above?A.Bill of RightsB.The PreambleC.Checks and BalancesD.The Executive BranchPlease select the best answer from the choices providedABCD Examine the two example of reliefs above . What type of relief sculpture is each? Where would an element be placed on the periodic table if it had a mass number of 304 amu, very low ionization energy, bonds easily with other elements, melting point of 50.1 degrees Celsius, has the smallest electronegativity, predicatively the largest atomic radius, great metallic character, and silver in color FarCry Industries, a maker of telecommunications equipment, has 2 million shares of common stock outstanding, 1 million shares of preferred stock outstanding, and 10,000 bonds. Suppose the common shares are selling for $26 per share, the preferred shares are selling for $14.00 per share, and the bonds are selling for 97 percent of par.What would be the weight used for equity in the computation of FarCrys WACC? (Round your answer to 2 decimal places.) Which of the following is true regarding the grand jury system? a. Under the U.S. Constitution, a grand jury is required in state court felony cases b. Under the U.S. Constitution, a grand jury is required in federal felony cases c. The right to a grand jury may not be waived by a defendant d. Under the U.S. Constitution, a grand jury is required in state court felony cases and in federal felony cases and the right to a grand jury may not be waived by a defendant e. Under the U.S. Constitution, a grand jury is required in both state and federal felony cases, but a defendant may waive the right to review by a grand jury Which of the following statements about species, as defined by the biological species concept, is (are) correct?I. Biological species are defined by reproductive isolation.II. Biological species are the model used for grouping extinct forms of life.III. The biological species is the largest unit of population in which successful reproduction is possible.A) I onlyB) II onlyC) I and IIID) II and IIIE) I, II, and III You decide to plant a garden in your backyard. You dig up a strip of grass in a sunny spot. When you have finished digging up the grass, but you haven't planted anything, you have created a(an) _____ in the lawn.a. ecological disturbanceb. new communityc. None of the answer options is correct.d. ecological disturbance and a new community What nervous system components would you expect to find in a cephalized invertebrate such as a beetle? a) a nerve net a brain. b) spinal cord.c) sensory ganglia nerve cords. d) transverse nerves a brain.e) ventral nerve cords.f) segmental ganglia. Which of the following depreciation methods allocates a varying amount of depreciation each year based on an asset's usage?A) the units-of-production methodC) the double-declining-balance methodB) the straight-line methodD) the annuity method Which statement best describes how propagandareinforces one of the themes of Animal Farm in thispassage?d, "that we pigsAnd why not? Youer a ruling againstep in. A pile ofd. The rule wastion. We havebeds, and sleepbeds they are too!I can tell you,e to do nowadays.Id you, comrades?out our duties?It demonstrates that loyalty is rewarded in totalitariangovernmentsIt demonstrates that corruption is at the center oftotalitarian governments.lt demonstrates that revolution is a constant threat tototalitarian governments.It demonstrates that written law is the best way toprotect against totalitarian governments.Oback?" (a) How far is the center of mass of the Earth-Moon system from the center of the Earth? (Appendix C gives the masses of the Earth and the Moon and the distance between the two.) m (b) Express the answer to (a) as a fraction of the Earth's radius.' The diagram below shows some key steps of a biotechnological procedure. What development does the letter X most likely represent?A) human cells able to resist antibioticsB) human cells unable to synthesize antibodiesC) bacterial cells able to synthesize human insulinD) bacterial cells unable to synthesize human insulin A statewide alliance of independent hospitals has formed in order to do group purchasing of medical supplies. Group purchasing allows the hospital alliance to negotiate lower prices with suppliers because of the large number of materials ordered. This is an example of the advantage of __________ resulting from an alliance.a. explicit collusion.b. distribution opportunities.c. economies of scale.d. opportunistic behavior. Most cells cannot harness heat to perform work because Kirksand Airlines is well known for providing excellent customer service to its flyers. The staff members enquire and listen carefully to each flyer's wants and needs. If a flyer has any specific requests, the staff members ensure that they are immediately attended to. In this scenario, Kirksand Airlines has based its customer relationship management on the trend of _____.A. technology B. personalization C. loyalty D. mass marketing Gwen borrows $300 from her parents to buy a bike. She agrees to pay them back plus 3% simple interest over one year. Write an equation to represent the total amount Gwen will owe her parents. What is the total amount of money Gwen will owe her parents?