the first term of a geometric sequence is 2 and the common ratio is -3 find the fifth term

Answers

Answer 1
With geometric sequences, all you have to do is multiply each term by -3 until you get to the needed term.

First term: 2
Second term: 2 * -3 = -6
Third term: -6 * -3 = 18
Fourth term: 18 * -3 = -54
Fifth term: -54 * -3 = 162

The fifth term of the sequence is 162.
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Answer 2

Answer:

With geometric sequences, all you have to do is multiply each term by -3 until you get to the needed term.

First term: 2

Second term: 2 * -3 = -6

Third term: -6 * -3 = 18

Fourth term: 18 * -3 = -54

Fifth term: -54 * -3 = 162

The fifth term of the sequence is 162.

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Related Questions

How many liters of a 10% saline solution must be added to to 4 liters of a 40% saline solution to obtain a 15% saline solution? A)20 L B)4 L C)2 L D)48 L Plz explain the steps and how to get answer

Answers

It would take 20 liters of the 10% solution.

We will let x be the amount of 10% solution in our problem.  10% saline in x liters is 0.1x.  4 liters of a 40% solution would be 4*0.4 = 1.6.  We know that there are a total of x+4 liters in the final solution, and that it is 15% saline; that is 0.15(x+4).  Our equation is then:

0.1x + 0.4(4) = 0.15(x+4)
0.1x+1.6 = 0.15*x + 0.15*4
0.1x+1.6 = 0.15x+0.6

We cannot have a variable on both sides; we will subtract 0.1x from both sides:

0.1x + 1.6 - 0.1x = 0.15x + 0.6 - 0.1x
1.6 = 0.05x + 0.6

Subtract 0.6 from both sides:
1.6 - 0.6 = 0.05x + 0.6 - 0.6
1 = 0.05x

Divide both sides by 0.05:
1/0.05 = 0.05x/0.05
20 = x

x was the 10% solution, so there are 20 liters of it.

20 points and brainliest if correct
Which function grows at the fastest rate for increasing values of x?
g(x)=2.5x
h(x)=9.5x2
f(x)=8.5x+3

Answers

The answer is A) or 2.5^(2)

A triangular prism is 14.3 millimeters long. It has a triangular face with a height of 12 millimeters. The volume of the prism is 1,123.98 cubic millimeters. What is the base of its triangular face?

Answers

Answer: The base of the triangle is about 13.1 mm.

The formula for the volume of the prism is below. All we have to do is input the values we know and solve for the missing B.

Volume = BH/2 (Length)
1123.98= (12B/2) x (14.3)
78.6 = 12B/2
157.2 = 12B
13.1 = B

Answer

13.1 millimeters


Explanation

The volume of any regular object is found by;

Volume = base area × length.

In the question, the base is a triangle of height  12 millimeters and a base length L.

The length of the prism is  14.3 millimeters.

∴ Volume = base area × length.

   1,123.98 = (1/2 × 12 × L) × 14.3

   1,123.98 = 85.8 L

   L =  1,123.98/85.8

       = 13.1 millimeters


Which of the following statements are equivalent to the statement "price increased by 100%"?

Choose all correct answers.

(A) The price doubled
(B) The price is 150% of the price before
(C) The price was reduced by a quarter
(D) The price became a half of what it was before
(E) The price is now 1.5 of what it was before
(F) The price now is 66 2/3% of what it was before
(G) The price now is 200% of what it was before
(H) The price is 75% of what it was before
Plssss help me!!

Answers

Answers:
(A) The price doubled
(G) The price now is 200% of what it was before

Explanation:
Assume that the original price of the product is x. Therefore, x represents 100% of the original price.

Now, we are given that:
The price increased by 100%

This means that:
new price = old price + 100% of old price
new price = x + 100% (x) 
new price = 2x
Thus, we can note that the price is doubled

We know that x represents 100% of the price of the product.
Therefore:
new price = x + x = 100% + 100% = 200%
This means that the new price is 200% of the old price

Notes:
Options C,D, F and H are incorrect because they represent a decrease in the price while we know that the price increased
Options B and E are incorrect because they represent an increase of 50% in the price while we know that the increase is 100%

Hope this helps :)

Answer:

A G

Step-by-step explanation:

because when the price is doubled that means it increases by 100%

and when the price is 200% of what it was befor means it is also doubled

Find the outlier of the set of data: 80, 71, 75, 69, 74, 17, 82 A. 82 B. 81 C. 74 D. 17

Answers

D.17, because it is the furthest from all the other numbers

Answer:

Use the drop-down menus to identify the key values of the box plot.

The median is

✔ C

.

The minimum is

✔ A

.

The maximum is

✔ E

.

The lower quartile (Q1) is

✔ B

.

The upper quartile (Q3) is

✔ D

.

Step-by-step explanation:

i took the test

Enter the values for a and b that complete
the sum:

A-
b-

Answers

3/x + 5/x^2 = 3x+5/x^2
a = 3
b = 5

Answer:

[tex]a=3[/tex] and [tex]b=5[/tex]

Step-by-step explanation:

We have been given an equation [tex]\frac{3}{x}+\frac{5}{x^2}=\frac{ax+b}{x^2}[/tex]. We are asked to find the value of 'a' and 'b'.

Let us make a common denominator:

[tex]\frac{3*x}{x*x}+\frac{5}{x^2}=\frac{ax+b}{x^2}[/tex]

[tex]\frac{3x}{x^2}+\frac{5}{x^2}=\frac{ax+b}{x^2}[/tex]

Add numerators:

[tex]\frac{3x+5}{x^2}=\frac{ax+b}{x^2}[/tex]

Therefore, [tex]a=3[/tex] and [tex]b=5[/tex] for the given equation.

End time 10:30 elapsed time 3/4 of an hr what is starting time

Answers

Hi there!

Since the end time is 10:30 and the activity was started 3/4 an hour earlier, we need to subtract 3/4 an hour from 10:30 to get the starting time. 

3/4 hour = 45 min

10:30 - 45 min = 9:45

So, the starting time is 9:45.

Hope this helps!
Start by converting 3/4 of an hour to minutes:

1 hour=60 minutes
3/4 hour=45 minutes

Then, we subtract 45 minutes from 10:30 to get the starting time:

10:30-45 minutes
=10:00-15 minutes
=9:45

The starting time was 9:45

solve for K. I TRIED MANY TIMES TO GET IT RIGHT BUT I STILL GET STUCK WHEN I AM CLOSE TO FINDING THE ANSWER!!!!


m=1/k+n

Answers

Hello!

This is how you would solve for k.
m(k + n) = 1

k + n =[tex] \frac{1}{m} [/tex]

k = [tex] \frac{1}{m} [/tex] - n
The denominator is k, according to user who posted the question.
[tex]m=\frac{1}{k}+n[/tex]
We need to solve for k.

In order to solve for k, we need to isolate k, meaning
1. subtract n on both sides in order to isolate k, simplify
[tex]m=\frac{1}{k}+n[/tex]
[tex]m-n=\frac{1}{k}+n-n[/tex]
[tex]m-n=\frac{1}{k}[/tex]
2. multiply k on both sides, do not forget the parentheses,
[tex]k(m-n)=1[/tex]
3. divide by (m-n)   (do not forget the parentheses), simplify
[tex]k(m-n)/(m-n)=\frac{1}{(m-n}[/tex]
[tex]k=\frac{1}{(m-n)}[/tex]

So the final answer is
k=1/(m-n)     do not forget the parentheses.

Sabrina makes a pan pizza for the party she cuts the pizza into10 equal pieces after the party there was 5/10 of the pan pizza left write the fraction 5/10 as a product of a whole number and a unit fraction.

Answers

The answer would be 1/2, and 0.5.

Number of pieces Pizza is cut is given as 10.After the party some pizza is left and some consumed .

Amount if pizza consumed in fractions is given as [tex] \frac{5}{10} [/tex]

The fraction can be reduced to simplest or lowest form by finding the common factor of numerator and denominator .Numerator is 5 and denominator is 10.

Both 5 and 10 can be divided by the common factor 5.

We have [tex] \frac{5}{10} =\frac{1}{2} [/tex]

The fraction can be written as [tex] \frac{1}{2} [/tex] in its lowest form or thei equals 0.5 in decimal .



How does tripling the circumference of the circle affect the diameter of the circle?

Answers

The Diameter is also tripled.

Given the area of a circle calculate the radius and circumference
r = √(A / π)C = 2πr

Proof: C= 3in r = 0.477464 d=2r=0.9549296
           C= 9in r= 1.432394 d= 2.864788 = 3x

Mike owns two hardware stores. The scatter plots show the number of items sold at a specific price for each store for one week. Which store has more sales revenue ($$)?
A) Store #1
B) Store #2
C) The stores bring in the same amount of sales.
D) This cannot be determined from the scatter plots.

Answers

the store that has more sales revenue is store A

answer A

with the help of scatter plot we can calculate the revenue collection of the two stores

for store 1, revenue collection is 35100

for store 2, revenue collection is 29800

so, store 1 has more revenue collection than store 2

Brandon is baking cookies for a school bake sale. If he can make 2 dozen cookies in 23 minutes which is a reasonable estimate of the amount of time it will take him to make 12 dozen cookies? A) between 4 and 5 hours B) between 3 and 4 hours C) between 2 and 3 hours D) between 1 and 2 hours

Answers

It would be around 138 minutes which is 2 hrs and 18 min so it would be C).

Answer:

The answer would be C.

Step-by-step explanation:

The ages of two groups of yoga students are shown in the following dot plots:

A dot plot shows Age in years on the horizontal axis. For Group P, there is 1 dot on 4, 2 dots on 5, 3 dots on 7, 1 dot on 8, 2 dots on 12, 1 dot on 14, 2 dots on 16, and 1 dot on 17. For Group Q, there is 1 dot on 4, 2 dots on 6, 2 dots on 8, 1 dot on 10, 3 dots on 12, 2 dots on 14, 3 dots on 16, 1 dot on 19, 3 dots on 20, 1 dot on 21, 2 dots on 22, 1 dot on 23, and 3 dots on 24.

The mean absolute deviation (MAD) for group P is 4.15 and the MAD for group Q is 5.35. Which of the following observations can be made using these data?

Group P has less variability in the data.
Group P has greater variability in the data.
Group Q has a lower range.
Group Q has a lower mean.

Answers

Answer: Group P has less variability in the data.

If you compare the mean absolute deviations (MAD), you see that group P has a lower value than group Q. This means that the values in group P are closer to the mean than group Q. Therefore, we say that it have less variability. In other words, the values don't vary as much.

Answer Group P has less variability in the data.

Actually you can have a d for any class because during science class in the 7th grade i had a D soo not trying to cause problems also but your grade has to be a 60 or above to pass and to fail is 59 and lower so

Step-by-step explanation:

simplify 1-2 (-3+x) +x

Answers

There’s a good website called math papa that works really well for stuff like this
Step 1. Regroup terms
1 -2(x - 3) + x
Step 2. Expand
1 - 2x + 6 + x
Step 3. Collect like terms
(1 + 6) + (-2x + x)
Step 4. Simplify
-2x + 7

Use a strategy for the following problem(and I seriously need help!!):

In a sequence of numbers, each number in the sequence is called a term. In the sequence 1, 3, 5, 7, 9, the first term is 1, the second term is 3, the third term is 5, the fourth term is 7 and the fifth term is 9. In another sequence, the first term is 26. If a term in the sequence is even, then the next term will be half the value of that term. If a term in the sequence is odd, then the next term in the sequence is one more than three times that term. By following these rules, the first three terms of this sequence are 26, 13 and 40. Is the twenty-sixth term of the sequence odd or even. Justify your answer.

Answers

Answer: The 26th term in the sequence will be a 1, which is odd.

The best way to solve this problem is just create the list of terms that goes up to the 26th place. Don't worry, you will soon see a patter.

Remember the rules: If it's even, cut it in half. If it's odd, multiply by 3 and add 1.

So here is our list:  26  13  40 20  10  5  16  8  4  2  1 4  2  1  4  2  1 ...
Once you get to this point, the pattern will just continue with 4 2 1
And in the 26th place, you will see a 1.

a function FX is described by the ordered pairs X Y if if the given function is translated 2 units to the right and then reflected across the x axis what are the ordered pairs that describe the transformed function

Answers

The translation of a function n units towards the right will follow the rule:
[tex] \left \{ {{ x_{1} = x - n} \atop {y_{1} = y}} \right. [/tex]

A reflection over the x-axis will follow the rule:
[tex] \left \{ {{x_{2} = x } \atop { y_{2} = - y}} \right. [/tex]

Applying the two rules at the same time, we have:
[tex] \left \{ {{x' = x - n} \atop {y' = - y}} \right. [/tex]

Therefore, in your case:
x' = X - 2
y' = - Y


x^2-40x Complete the square for the expression. Then factor the trinamial.

Answers

x²-2*20x+400-400=x²-40x+400-400=(x-20)²-400


What is 50% of 80?

part ? 50
—— = ——- ] percent
whole. 80. 100

what is the part since we don’t know what “what” is.
50% is the percent
and 80 is the whole

Answers

50% is 1/2, 1/2 of 80 is 40

50% of 80 is the number 40.

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

We have to find the number of  50% of 80

Convert the percentage to deicmal number.

To do this we have to divide percentage by 100.

50/100=0.5

Now multiply 0.5 with 80

0.5×80

Which we get is 40

Hence, 50% of 80 is the number 40.

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Write an expression based on the given description.



In Spencer’s garden, the number of rose bushes is 7 less than 1.5 times the number of carnation bushes. If the number of carnation bushes is c, then the expression representing the number of rose bushes is 7c – 1.5 1.5c – 7 7(c – 1.5) 1.5(c – 7) .

Answers

Answer:

7c -1.5

Step-by-step explanation:


Answer:

7c -1.5

I hope this helps

The line plot and the bar graph show the same test scores. Where should you look to find the least common test score?

Answers

The shortest column of the line plot



The  least common test score from the graphs is 70.

What is Graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

A line plot shows the frequency of data, in short it shows how many times something has occurred or the number of times data occurs in a group of data.

The number of data is represented by markers or in this case "x"s. The more x's along the column, the more times it occurred.

The bar graph there does not show the frequency of the different scores. This shows the relationship between the test number and the percentage of the scores obtained. It does not tell you the individual scores obtained.

The least common test score is 70

Hence, the  least common test score from the graphs is 70.

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Which statement is NOT true?

F. A set of ordered pairs describes a function if each x-value is paired with only one y-value.

G. A table of values describes a function if each x-value appears in the table only once.

H. A mapping is a function if each x-value is mapped to only one y-value.

J. Any graph that is a line represents a function.

Answers

The correct answer is:  [G]: 
_____________________________________________________
      "A table of values describes a function if each x-value appears in the table only once."
_____________________________________________________

Note:  All the other answer choices:  [F], [H], and [J] — are true.
______________________________________________________

A function assigns the value of each element of one set to the other specific element of another set. The statement that is not true about the function is option G.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

A function from a set X to a set Y allocates precisely one element of Y to each element of X. The set X is known as the function's domain, while the set Y is known as the function's codomain.

The given following statements are about functions. Of the given four statements the one that is not correct is G. This is because if the x-value appears just for one time in a table does not mean it can not have multiple outputs.

Hence, the statement that is not true about the function is option G.

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In each of the equations or inequalities below, find all the integer values of x that make the equation or the pair of inequalities true. Explain reasoning for each part.

Part A: |x|=17
Value Of X:

Part B: |x+9|=15
Value Of X:

Part C: |x-10| ≤ 13 and |x-10| ≥ 9
(Find the values of x that make both inequalities true)
Values of X:

Answers

So in these problems, we're dealing with absolute value. Absolute value is the real amount of the number, or it's real place value without a negative sign. 
Part A: if the absolute value of X was 17, then X could equal -17 or 17.
Part B: |x+9|=15. We know that 6+9=15, so X could equal -6 or 6. 
Part C: |x-10| ≤ 13. We know that 23-10 is 13. So 23 would be the greatest value of X. Then, for the smallest value of X, if we insert -3 in the equation to take the place of the variable, we get |-3-10|=13. So -3 would be the smallest value of the equation. X≤ 23 and X≥-3.

The exchange rate at the post office is £1 = €1.17 how many euros will you get for £280

Answers

Hey there :)

We are given:
£ 1 = € 1.17
We need to find
£ 280 = ?

We can do this by ratio/fraction
[tex] \frac{pounds}{euros} [/tex] or pounds : euros

[tex] \frac{1}{1.17} = \frac{280}{?} [/tex]
We need to cross multiply to find the value of € when £280

? = 1.17 x 280
? = 327.6

£280 ≈ €327.6
Final answer:

To calculate the number of euros you will get for £280, divide £280 by £1 and then multiply by €1.17. You will get approximately €327.60.

Explanation:

To calculate the number of euros you will get for £280, we can use the given exchange rate of £1 = €1.17.

First, we need to find the value of 1 pound in euros by dividing £280 by £1.

This gives us 280.

Then, we can multiply 280 by €1.17 to get the number of euros you will get.

Therefore, you will get approximately €327.60 for £280.

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martin climbs 3 1/3 meters in the first 1/6 hour alexia climbs 17 1/2 meters in the first 5/6hour what is the rate martin and alexia climbed show workkk

Answers

Rate is given by:
rate=(distance )/(time)
Martin's rate will be:
(3 1/3)/(1/6)
=(10/3)/(1/6)
=20 meters per hour

Alexia's rate is:
(17 1/2)/(5/6)
=(35/2)/(5/6)
=21 meters per hour

emma drives 1/4 of the way to work and uses 1/9 gallon of gas what fraction of the distance can she drive to work which one gallon of gas?

Answers

Final answer:

Emma can drive 1/4 of the distance to work with one gallon of gas.

Explanation:

To find out what fraction of the distance Emma can drive to work with one gallon of gas, we need to find the fraction of the distance she can drive with 1/9 gallon of gas and then multiply it by the number of gallons in one gallon.

Emma drives 1/4 of the way to work and uses 1/9 gallon of gas. So, she can drive 1/4 * 1/9 = 1/36 of the distance to work with 1/9 gallon of gas.

To find the fraction of the distance she can drive with one gallon of gas, we multiply 1/36 by the number of gallons in one gallon: 1/36 * 9/1 = 9/36 = 1/4.

Therefore, Emma can drive 1/4 of the distance to work with one gallon of gas.

Which equation best represents a trend line for the scatter plot?

y=−3/7x+4

y=3/7x+4

y=−7/3x+4

y=7/3x+4


Answers

the first one, y=-3/7x+4

What are two different ways of factoring –3x – 9? Select all that apply. A. –3(x + 3) B. 3(x + 3) C. 3(–x – 3) D. –3(x – 3)

Answers

Answer:

A and C

Step-by-step explanation:

Two different ways of factoring -3x - 9 are:

A. -3(x + 3)

C. 3(-x - 3)

What is the Factorization?

Factorization, also known as factoring, is the breakdown of one element into a product of other objects, or factors, which when multiplied together generate the original.

To factor -3x - 9, we can rewrite it as -3(x + 3) or 3(-x - 3).

Both of these expressions are in the form of a product of a constant and a binomial (a polynomial with two terms).

Option A, -3(x + 3), can be obtained by applying the distributive property, which states that we can multiply a constant by each term in a binomial to obtain the product.

In this case, we have -3 × x + -3 × 3 = -3x - 9.

Option C, 3(-x - 3), can also be obtained using the distributive property. In this case, we have 3 × -x + 3 ×-3 = -3x - 9.

Option B, 3(x + 3), is incorrect because the coefficient of the x term is positive, whereas in the original expression it is negative.

Option D, -3(x - 3), is also incorrect because the coefficient of the x term is negative, whereas in the original expression it is positive.

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What Happened To The Guy Who Fell Into an Upholstery Machine

Answers

Final answer:

The question is about what happened to someone who fell into an upholstery machine. Physics principles such as Newton's laws of motion can explain the outcome of the incident.

Explanation:

The question is about an incident where someone fell into an upholstery machine. Since it involves a physical event, the subject of this question is Physics, specifically related to forces and motion.

In this case, we can use the principles of Newton's laws of motion to explain what happened to the person who fell into the upholstery machine. The person's motion and the forces acting upon them would determine the outcome of the incident.

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Combine any like terms in the expression. If there are no like terms, rewrite the expression.
7w3+8t2u2–2t2u2–4t2u2

Answers

8t2u2, 2t2u2, and 4t2u2 are like terms, so we subtract them, and we are left with 0, so the answer is what remains; 7w3.
---
Hope this helps!

Which ordered pair could represent the coordinates of point k

Answers

need the picture please
Literally any ordered pair: (5,9) (8,16) (1,0)... anything.
Other Questions
Okina is the most often performed type of Noh drama. True False A mass m = 14 kg is pulled along a horizontal floor, with a coefficient of kinetic friction k = 0.08, for a distance d = 7.8 m. then the mass is continued to be pulled up a frictionless incline that makes an angle = 30 with the horizontal. the entire time the massless rope used to pull the block is pulled parallel to the incline at an angle of = 30 (thus on the incline it is parallel to the surface) and has a tension t = 32 n. 1) what is the work done by tension before the block gets to the incline? j 2) what is the work done by friction as the block slides on the flat horizontal surface? j 3) what is the speed of the block right before it begins to travel up the incline? m/s 4) how far up the incline does the block travel before coming to rest? m 5) what is the work done by gravity as it comes to rest? j 6) during the entire process, the net work done on the block is: positive negative zero Judy is a widow who has just sold a valuable parcel of commercial real estate. the proceeds of the sale will keep her from being impoverished during her retirement. judy dotes on her only son, chris. chris asks his mother to invest the proceeds in his restaurant, which is faltering, and lets his mother know that if she does not do so, she will probably never see chris again. judy is unsure, but because she wants to please chris, she agrees to his request. that evening, she has a change of heart and demands that chris return the funds to her. chris claims that they have formed a binding contract. the contract may be voidable, though, because it was formed as a result of What do the stage directions indicate about juliet in the play? reuben deposits $700 into an account that pays simple interest at a rate if 5% per year. How much interest will he be paid in the first 3 years. According to Cennini, an artist should use ______ layers of gesso, and they should be burnished until they appear like ________. A sphere is dilated by a scale factor of 1.5 to create a new sphere. How does the volume of the new sphere compare with the volume of the original sphere? A)The volume of the new sphere is 1.5 times the volume of the original sphere.B)The volume of the new sphere is 3.0 times the volume of the original sphere.C)The volume of the new sphere is 1.52 times the volume of the original sphere.D)The volume of the new sphere is 1.53 times the volume of the original sphere. A regular decagon is mapped onto itsslf everytime it is rotated by how many degrees Find the coordinates of the point (x,y,z)(x,y,z) on the plane z=2x+3y+3z=2x+3y+3 which is closest to the origin. You have a camera with a 16 mp resolution. how many pixels are represented by that resolution? 16 16 million 16,000 16 billion ILL GIVE BRAINLIST TO FIRST PERSON!!! Which of these is a primary economic activity? A) tourism B) farming C) healthcare D) construction Shannon says that she works out in the evenings instead of the afternoons because roger is always late coming home from work. roger says he doesn't bother to rush home from work because shannon is always working out. this process of organizing the series of events in different ways is called Why did many American people choose to move west? A: to become wealthy off of the Asian markets. B: to invest large amounts of money people had. C: to found peaceful communities with Native Americans. D: to purchase affordable land and farm it themselves. Please do either 1,2,3 or 4 You have planned purchases of $2,500. you have received orders that total $1,200, and you have ordered merchandise that totals $700. calculate the open-to-buy amount. The terms of the Treaty of Ghent a) called for the British to give land to the US.b) addressed issues of impressment.c) declared the British the victor of the war.d) ended the War of 1812. Draw Three triangles One equilateral one isosceles and one scalene label Each and explain how you classified each triangle Find the average rate of change of the function 1.Kivon has a sink that is shaped like a half-sphere. The sink has a diameter of 20 inches. One day, his sink clogged. He has to use one of two different cups to scoop the water out of the sink. The sink is completely full when Kivon begins scooping. (a)What is the exact volume of the sink? Show your work. (3 points) (b)One conical cup has a diameter of 8 in. and a height of 6 in. How many cups of water must Kivon scoop out of the sink with this cup to empty it? Round the number of scoops to the nearest whole number. Show your work. (6 points) (c)One cylindrical cup has a diameter of 4 in. and a height of 6 in. How many cups of water must he scoop out of the sink with this cup to empty it? Round the number of scoops to the nearest whole number. Show your work. (6 points) The number of U.S. Presidents who have been officially impeached convicted, and removed from office is