To join a new fitness center, there is a $40 initiation fee. It costs an additional $10 for every spinning class you attend. What is the average cost per class if you take 10 classes in the first month of joining the fitness center

Answers

Answer 1

the average cost per class is $14.

Think of this as an algebraic equation, which would be expressed as 40+10s=total cost

The (s) would be the number of spinning classes you decide to take.

Therefore to find the average cost of the class, you would plug in 10 classes for s.

This brings the total cost to $140 dollars.

To find the average you must divide this cost by the number of classes you took.

This will be the price per class, which is $14.

Statement of the equality of two expressions formulated by way of making use of a set of variables the algebraic operations, particularly, addition, subtraction, multiplication, department, elevating to energy, and extraction of a root.

In arithmetic, an algebraic equation or polynomial equation is an equation of the form P=0 where P is a polynomial with coefficients in some area, regularly the field of rational numbers.

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Related Questions

Could someone quickly sum up how to calculate probability? I’m taking a course on it and don’t understand.

Answers

divide the number of events by the number of possible outcomes

Answer:

Divide the number of events by the number of possible outcomes. After determining the probability event and its corresponding outcomes, divide the total number of ways the event can occur by the total number of possible outcomes. For instance, rolling a die once and landing on a three can be considered one event.

Step-by-step explanation:

for more information check the above attachment

find the value of x , thank you so much

Answers

Answer:

x = 40

Step-by-step explanation:

All angles in a triangle add up to 180

(3x-10) + 30 + x = 180

4x = 160

x = 40

Answer: x = 40

Step-by-step explanation:

All the interior angles of a triangle add up to 180°

Therefore,

30 + 3x - 10 + x = 180

30 + 4x - 10 = 180

20 + 4x = 180

4x = 160

x = 40

Which expression is equivalent?

Answers

Answer:

The answer is the 3rd option (2)

Step-by-step explanation:

Hope this helped! :D

If a ∥ b and b ⊥ y, then _____



a ∥ y.

a ⊥ y.

x ∥ y.

x ⊥ a.

Answers

The line b is perpendicular to the line y, then the line a will also perpendicular to the line y.  Then the correct option is B.

What is Geometry?

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

If the line a is parallel to the line b, then the slope of the line a and b will be same.

The line b is perpendicular to the line y, then the line a will also perpendicular to the line y.

Then the correct option is B.

The diagram is given below.

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Lines s and t are parallel. The slope of line s is −32. What is the slope of line t?

Answers

Answer: Parallel lines have equal slopes

If the slope of line s is -32 or -3/2, then the same applies to line t

Parallel lines have equal slopes but different y intercepts. These lines do not cross or intersect.

Answer:  -32

Step-by-step explanation:

The two lines are parallel which means these two lines have the same slope. Therefore, the slope of line t is -32.

Which variable expression represents the phrase “the quotient of 5 times a number and 2”?

Answers

Answer:

5x/2

Step-by-step explanation:

Say the mystery number is "x"

5 times that = 5 * x = 5x

Then the quotient (that means the result of division, so divide!) of that and 2 would give you: 5x/2

Name the shape below.

1. irregular pentagon

2. irregular quadrilateral

3. irregular octagon

4. irregular hexagon

Answers

Answer:

3

Step-by-step explanation:

Irregular pentagon since it has 5 sides

Answer:

irregular pentagon

(first option listed)

Step-by-step explanation:

This shape still has five sides--making it a pentagon. Because the angles are not exactly the same, and so the side lengths are also not equal, we name it an "irregular" pentagon.

hope this helps! have a lovely day :)

The solution to an absolute value inequality is shown on the graph below.
-5-4-3 -2 -1 0 1 2 3 4 5
What is another way to show the solution?
x> -3 or x < 2
{x|x <-3 orx <2}
[-3, 2]
O (-3, 2).

Answers

The solution to the absolute value inequality is (-3,2).

What is absolute value inequality ?

Absolute Value Inequality is the expression which contains absolute function as well as inequality signs .

The absolute value inequality is represented in the form of  a line

Interval of the function is  -3 to 2

As the intervals are represented by open circles, so  -3 and 2 are exclusive of the values of the inequality.

Therefore the another way to show the solution is

-3 < x < 2

or

(-3,2)

Therefore,  the solution to the absolute value inequality is (-3,2).

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If we have five decisions to make and four choices for each decision, how can we represent the number of potential outcomes?
4 to the power of 5
5 to the power of 4
4 to the power of 4
5 to the power of 5

Answers

Using the Fundamental Counting Theorem, the number of potential outcomes is given by: [tex]4^5[/tex]

What is the Fundamental Counting Theorem?

It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:

[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]

There are five decisions, each with four options, hence:

[tex]n_1 = n_2 = n_3 = n_4 = n_5 = 4[/tex]

The number of options is:

[tex]N = 4 \times 4 \times 4 \times 4 \times 4 = 4^5[/tex].

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Find b. B= help me please thank you so much :)

Answers

Step-by-step explanation:

I assume that DF and DQ are tangents to the circle.

angle FGQ = 268°

therefore, angle FQ = 360 - 268 = 92°

b = 1/2 × (angle FGQ - angle FQ) = 1/2×(268 - 92) =

= 1/2 × 176 = 88°

Find the area of each rhombus.
PLS HELP!! Geometry!!!!

Answers

Answer:

A) 384

B) 576

Step-by-step explanation:

the area of a rhombus is

pq/2

First Rhombus

we have p but to find q we can cut the triangle in half to form a right triangle, that allows us to use the Pythagorean theorem

20² = 12² + b²

400 - 144 = b²

b² = 256

b = 16

since the height (b) is half the rhombus, we double it to get q

p = 24

q = 32

a = [tex]\frac{24*32}{2}[/tex]

a = 384

Second Rhombus

Since rhombuses are parallelograms, we can use its area formula  (b)(h)

a = (24)(24)

a = 576

2.
MNOP is a tetrahedron. Given that the volume of tetrahedron is 75 m²
and the area of the base is 25 m². Find the height of tetrahedron.

Answers

Answer: 9 m

Step-by-step explanation:

[tex]75=\frac{1}{3}(25)(h)\\\\h=\frac{75}{25/3}=9[/tex]

The general form of the equation of a circle is ax2 by2 cx dy e = 0, where a = b 0. if the circle has a radius of 3 units and the center lies on the y-axis, which set of values of a, b, c, d, and e might correspond to the circle?

Answers

The set of values which might correspond to the circle are A = 1, B = 1, C = 0, D = -8 and E = 7.

The equation of a circle.

Mathematically, the general form of the equation of a circle is given by;

(x - h)² + (y - k)² = r²

Where:

h and k represents the coordinates at the center.r is the radius of a circle.

Based on the information provided that the center of the circle lies on the y-axis, we have:

(h, k) = (0, 4)

Radius, r = 3 units.

Substituting the given parameters into the formula, we have;

(x - 0)² + (y - 4)² = 3²

x ² + y² - 8y + 16 = 9

x ² + y² - 8y + 7 = 0.

Therefore, the set of values which might correspond to the circle are A = 1, B = 1, C = 0, D = -8 and E = 7.

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Complete Question:

The general form of the equation of a circle is Ax² + By² + Cx + Dy + E = 0, where A = B. If the circle has a radius of 3 units and the center at (0, 4), which set of values of A, B, C, D, and E correspond to the circle?

The distance from Capital City to Little Village is 660 miles. From Capital City to Mytown is 310 miles, from Mytown to Yourtown is 200 miles, and from Yourtown to Little Village is 150 miles. How far is it from Mytown to Little Village

Answers

The distance from Mytown to Little Village is 350 miles.

The distance from Capital City to Little Village is 660 miles.

The distance  from Capital City to Mytown is 310 miles,

The distance from Mytown to Yourtown is 200 miles,

and from Yourtown to Little Village is 150 miles.

Assuming all the places are collinear,

The distance from Mytown to Little Village is

200 + 150   = 350 miles

Hence, The Mytown is 350 miles far from the Little Village

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Which equations have the same value of x as Three-fifths (30 x minus 15) = 72? Select three options.
18 x minus 15 = 72
50 x minus 25 = 72
18 x minus 9 = 72
3 (6 x minus 3) = 72
x = 4.5

Answers

The equivalent expressions are 3(6x - 3) = 72 and 18x - 9 = 72

Equations and expressions

Given the equation below as shown;

3/5(30x - 15) = 72

Expand

3/5(30x) - 3/5(15) = 72

90x/5 - 15/5 = 72

3(6x - 3) = 72

Expand

18x - 9 = 72

Hence the equivalent expressions are 3(6x - 3) = 72 and 18x - 9 = 72

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Which of the following is the equation for the graph shown

Answers

Step-by-step explanation:

if the area of each face of a cubical solid is 1764 CM square find its length

A telephone pole has a wire attached to its top that is anchored to the ground. the distance from the bottom of the pole to the anchor point is 68 feet less than the height of the pole. if the wire is to be 4 feet longer than the height of the pole, what is the height of the pole?

Answers

The height of the pole is 96 feet

In mathematics, the Pythagorean theorem, or Pythagoras' theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares on the other two sides. This theorem can be written as an equation relating the lengths of the legs a, b and the hypotenuse c, often called the Pythagorean equation:[1]

[tex]a^{2}+b^{2}=c^{2},[/tex]

Create a diagram of the scenario first. You would have a right triangle with a hypotenuse (longest side) of h + 4, a longest leg of h - 68, and one leg of length h to represent the pole.

Set up the equation [tex]h^2 + (h - 68)^2 = (h + 4)^2[/tex] using the Pythagorean theorem ([tex]a^2 + b^2 = c^2[/tex]).

[tex]h^2 + (h - 68)^2 = (h + 4)^2[/tex]

On simplifying we get

[tex]h^2+h^2-136h+4624 = h^2+8h+16[/tex]

[tex]2h^2-136h+4624=h^2+8h+16[/tex]

[tex]h^2-144h+4608=0[/tex]

Solving using quadratic formula

[tex]h_{1,\:2}=\frac{-\left(-144\right)\pm \sqrt{\left(-144\right)^2-4\cdot \:1\cdot \:4608}}{2\cdot \:1}[/tex]  

[tex]h_1=\frac{-\left(-144\right)+48}{2\cdot \:1},\:h_2=\frac{-\left(-144\right)-48}{2\cdot \:1}[/tex]

h1 = 96 feet , h2 = 48 feet

If height would have been 48 feet then the other side would have a negative value as as 48 - 68 = -20 .

Hence the height of the pole is 96 feet

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An elevator has 4 passengers and 8 floors. Find the probability that no 2 passengers get off on the same floor considering that it is equally likely that a person will get off at any floor.

Answers

The probability is 5/343.

Given :8 floors and 4 passengers.

Passengers will be assumed to start on the first floor, where everyone goes up, and each passenger only gets off on the 2nd floor (no one gets off on the 1st floor!)

Now we need to find the number of all ordered lists of four numbers out of seven, eg 2<3<7<8, 3<6<7<8, 4<5<6o<8, etc.

This can be done in 7C4 ways.

The total numbers of ways 4 passengers can get off at 7 floors (starting at the 2nd!) is [tex]7^{4}[/tex].

Therefore the probability is [tex]\frac{7C4}{7^{4} }[/tex] = [tex]\frac{5}{343}[/tex]

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Will the store manager meet her goal if the sales team sells 80 tablets and 10 laptops? If so, explain If not find how many more tablets need to be sold to meet the goal.

Answers

The store manager would reach his goal of $20,000 if the sales team sold 80 tables and 10 laptops.

How to know if the store manager achieves his goal?

To calculate if the store manager achieves its goal, we must perform the following operations:

80 × $200 = $16,00010 × $400 = $4,000

$16,000 + $4,000 = $20,000

According to the above, sales do reach the goal if 80 tablets and 10 laptops are sold.

Note: This question is incomplete because there is some information missing. Here is the missing information:

A computer store sells both tablets and laptops. One brand of tablet costs $200. That same brand of laptop costs $400. The store manager wants to sell enough of this brand of tablets and laptops to reach the sales goal of $20,000.

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Triangles F H G and K J G share common point G. The lengths of sides H G and G J are congruent. Angles F H G and K J G are right angles.

Can you conclude that triangle GHF is congruent to triangle GJK? Explain.
yes, by ASA
yes, by AAS
yes, by AAA
not enough information given

Answers

Answer:

not enough information given

Step-by-step explanation:

as the rules say, we need at least 3 pieces of information :

2 angles and a side, or 3 angles (or there are other options like 2 sides and one angle or 3 sides).

but here we get 1 side and 1 angle. the shared point does not give us anything in that regard.

so, not enough information.

What are the solutions of this quadratic equation?
x²+2x = -2
O A.
OB.
O C.
O D.
X = 1 ti
x= -1 ti
X = 0
X= ti

Answers

Answer:

The answer might be C.(x=0)

i am not able to solve this problem​

Answers

First, 0.0004853 is < 1, so we need to multiply the number by 10 to a negative power if it's greater than 1 (if that makes sense i cant describe it better)

So, b and c is incorrect.

10 to the power of negative 4 = 0.0001, and 4.853 x 0.0001 = 0.0004853 (true), so answer is a

Answer:

a

Step-by-step explanation:

a number expressed in standard form is

a × [tex]10^{n}[/tex]

where 1 ≤ a < 10 and n is an integer

given

0.0004853 ( place the decimal point after the 4 )

= 4.853 × [tex]10^{n}[/tex]

to place the decimal point in its original position we require to shift it 4 places left , denoted by - 4 on the exponent , that is

0.0004853 = 4.853 × [tex]10^{-4}[/tex]

What value for the constant, h, in the equation shown below will result in an infinite number of solutions?
4 − 16 = h(− + 4)

Answers

Using a system of equations, it is found that a value of h = 4 will result in an infinite number of solutions.

What is a system of equations?

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

If two equations are equal, the system has infinite solutions.

In this problem, the equations are:

4x - 16 = h(x - 4).

Then:

4(x - 4) = h(x - 4).

h = 4.

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2(-5x+4)+4x-5= -3

SOLVE FOR X please

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textbf{Equation:}[/tex]

[tex]\mathbf{2(-5x + 4) + 4x - 5 = -3}[/tex]

[tex]\huge\textbf{Solving for it:}[/tex]

[tex]\mathbf{2(-5x) + 2(4) + 4x - 5 = -3}[/tex]

[tex]\mathbf{-10x + 4 + 4x - 5 = -3}[/tex]

[tex]\huge\textbf{Combine the like terms:}[/tex]

[tex]\mathbf{(-10x + 4x) + (8 - 5) = -3}[/tex]

[tex]\mathbf{-10x + 4x + 8 - 5 = -3}[/tex]

[tex]\mathbf{-6x + 3 = -3}[/tex]

[tex]\huge\textbf{Subtract \boxed{\bf 3} to both sides:}[/tex]

[tex]\mathbf{-6x + 3 - 3= -3 - 3}[/tex]

[tex]\huge\textbf{Simplify it:}[/tex]

[tex]\mathbf{-6x = -3 - 3}[/tex]

[tex]\mathbf{-6x = -6}[/tex]

[tex]\huge\textbf{Divide \boxed{\bf -6} to both sides:}[/tex]

[tex]\mathbf{\dfrac{-6x}{-6} = \dfrac{-6}{-6}}[/tex]

[tex]\huge\textbf{Simplify it:}[/tex]

[tex]\mathbf{x = \dfrac{-6}{-6}}[/tex]

[tex]\mathbf{x = -6\div-6}[/tex]

[tex]\mathbf{x = 1}[/tex]

[tex]\huge\textbf{Therefore, your answer should be:}[/tex]

[tex]\huge\boxed{\mathsf x =\frak{1}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

I Had 150 stickers. I gave 10 stickers to each of the 8 students in my class and kept the rest for myself. How many Stickers will I have

Answers

Answer:

70

Step-by-step explanation:

10tickets x 8students = 80tickets

150tickets-80tickets=70tickets

Ratio?
Help please thanks

Answers

Answer: 4:9

Step-by-step explanation:

The ratio of the surface areas is the square of the ratio of the edge lengths.

two card are drawn from a well shuffled deck of 51 cards. find the probability thst both cards are king( the first card is not replaced by drawing a tree diagram )​

Answers

Answer: P(A)=4/425≈0,0094.

Step-by-step explanation:

[tex]P(A)=\frac{C_4^1*C_3^1}{C_{51}^2} .[/tex]

The desk has 4 kings.

First card is drawn from a well shuffled deck is a card of king.     ⇒

[tex]C_4^1=\frac{4!}{(4-1)!*1!} =\frac{3!*4}{3!*1}=4.[/tex]

Second card is drawn from a well shuffled deck is a card of king too.    ⇒

[tex]C_{4-1}^1=C_3^1=\frac{3!}{(3-1)!*1!}=\frac{2!*3}{2!*1}=3.\\ The \ desk\ has\ 51\ card.\ \ \ \ \Rightarrow\\C_{51}^2=\frac{51!}{(51-2)*2!}=\frac{49!*50*51}{49!*1*2} =51*25=1275.\\ P(A)=\frac{4*3}{1275} =\frac{4}{425} \approx0,0094.[/tex]

Explain how to decide when a normal distribution can be used to approximate a binomial distribution.

Answers

A normal distribution can be used to approximate a binomial distribution when n* p and n * q are greater than 5.

What is a normal distribution?

A probability distribution that is symmetric about the mean is the normal distribution, sometimes referred to as the Gaussian distribution. It demonstrates that data that are close to the mean occur more frequently than data that are far from the mean.

A probability bell curve is more properly described as the normal distribution.

The mean and standard deviation of a normal distribution are 0 and 1, respectively. It has a kurtosis of 3 and zero skew.

Not all symmetrical distributions are normal, but all normal distributions are symmetrical.

Natural occurrences frequently resemble the usual distribution.

However, most price distributions in finance are not exactly normal distributions.

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What is Z in the equation
360 ÷ z = 12

Answers

Answer:

z = 30

Step-by-step explanation:

→ 360 ÷ z = 12

→ 360/z = 12

→ 12z = 360

→ z = 360/12

→ [ z = 30 ]

Hence, the value of z is 30.

Answer:you have to isolate z,make z the subject.

Step-by-step explanation: z=360 multiply by 12,

giving us 4320.z=4320,i mean thisis the answer you have to stick with if u want to find a value for z.

step by step;z/360=12

z=360 into 12

z=4320

Which statements are true? Check all that apply. 0 is greater than Negative two-thirds. Two-thirds is equal to Negative two-thirds. Negative 1 less-than negative one-third Negative two-thirds greater-than one-third Negative one-third greater-than negative two-thirds

Answers

The following statements are true:

0 is greater than negative two-thirdsNegative 1 is less than negative one-thirdNegative one-third greater-than negative two-thirds

What is a negative number?

A negative number in mathematics is any number that is less than zero i.e. x < 0.

This means that zero is greater than any negative number.

However, the higher the digit of a negative number, the smaller that number becomes. It is opposite of positive numbers or integers.

Therefore, the following statements are true:

0 is greater than negative two-thirdsNegative 1 is less than negative one-thirdNegative one-third greater-than negative two-thirds

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Hi guys how can we study languages here? The difference between twice a number, x, and a smaller number, y, is 3. The sum of twice the number and the smallernumber is -3. Which equations represent this situation?Oy=2x-3 and y=-2x-3Oy-2x-3 and y=-2-2O y=2x+3 and y=-2x-3Oy-2x+3 and y=-x-3. Help meeee In the Battle of the Little Bighorn, General George A. ___________ was killed in one of the worst military defeats in U.S. history v = u + 2atWhere v is the final velocity (in m/s), u is the initial velocity (in m/s), a is the acceleration (in m/s) and t is the time (in seconds).Find v when u is 19 m/s, a is 3 m/s, and is 21 seconds. Could someone help me out with this question? Jun Wei is a bus driver who earns $ 1600 per month while Lixin is a manager who earns $ 6800 permonth. In 2012, Jun Wei donated a total of $ 1200 to charitable organisations while Lixin donated atotal of $4500 to charitable organisations. Who donated a higher percentage of his or her annualincome to charitable organisations? Which of the following organisms is most likely to be preserved as a fossil? A. a flower from a desert cactus B. a seashell on the ocean floorC. a worm in a garden D. a leaf from an oak tree SOME WRITE THIS PLS WILL GOVE BRAINLESTRead the following excerpt from The Story of My Life by Helen Keller and then answer the question that follows.The morning after my teacher came she led me into her room and gave me a doll. The little blind children at the Perkins Institution had sent it and Laura Bridgman had dressed it; but I did not know this until afterward. When I had played with it a little while, Miss Sullivan slowly spelled into my hand the word "d-o-l-l." I was at once interested in this finger play and tried to imitate it. When I finally succeeded in making the letters correctly I was flushed with childish pleasure and pride. Running downstairs to my mother I held up my hand and made the letters for doll. I did not know that I was spelling a word or even that words existed; I was simply making my fingers go in monkey-like imitation. In the days that followed I learned to spell in this uncomprehending way a great many words, among them pin, hat, cup and a few verbs like sit, stand and walk. But my teacher had been with me several weeks before I understood that everything has a name. I left the well-house eager to learn. Everything had a name, and each name gave birth to a new thought. As we returned to the house every object which I touched seemed to quiver with life. That was because I saw everything with the strange, new sight that had come to me.Which of the following best summarizes the excerpt?Helen's teacher taught her to finger spell doll so she knew how to tell her teacher what toy she wanted to play with.Helen was excited to learn that everything had a name so that she could talk with her teacher.Helen liked to touch all the objects in the house so she knew which ones she wanted to play with.Helen's teacher taught her all objects have a name opening the world of language. In a two-state world, where there are only two possible payoffs on a share of stock at the end of a year, the stock payoffs can be exactly duplicated using a combination of a call option on the stock and _____. 6. Which of the following statements about protists is true?A. Protists are all heterotrophic.B. Protists can't live in freshwater.C. Protists are a catch-all group for eukaryotes that aren't plants, fungi, or animals.D. Protists are all parasitic. what is the importance of energy?make a list A wooden baseball bat and an aluminum baseball bat have the exact same size, shape, and mass. Aluminum is much denser than wood. Explain how the two bats could be the same size, shape, and mass. 21. An AC generator has an rms output voltage of 274 V at a frequency of 57.0 Hz. The generator is connected across a 0.900-H inductor.(a) Determine the inductive reactance.(b) Determine the maximum voltage across the inductor.(c) Determine the rms and maximum currents in the inductor The formula used to convert degrees Celsius to degrees Fahrenheit isF = 0+32.Convert 59F to degrees Celsius. Solve the formula for C, and then use it toconvert the temperature.Which is the correct formula and conversion?A. C= F-32; conversion: 59F = 135CB. C= (F-32); conversion: 59F = 15CC. C= (F-32); conversion: 59F = 106COD. C=F-32; conversion: 59F = 15C A swimming pool is being filled with water. The diameter of the pool is 27 feet, and the height is 4 feet. Which formula best represents the volume of the pool?V = pi (13.5) (4)V = pi (13.5) squared (4)V = pi (27) (4)V = pi (27) squared (4) A sales tax of 7% was added to the $36.00 price of a jacket. What was the total cost of the jacket?a. $36.70b. $38.10c. $36.07d. $38.52 : Cytotoxic T cells are rapid killers of infected target cells. Within minutes of the interaction of a cytotoxic T cell with a target cell, the program of apoptosis in the target cell is initiated. This rapid activity is a consequence of: According to Buddhist tradition, what describes the important things about the human condition of suffering and how to overcome it? The Ascetic lifestyle The Four Noble Truths The Sangha The Buddha Complete the sentences with be or have and the correct form of the verb in brackets.By this time tomorrow, I'll..(finish) all my exams.Come and visit me and my cousin tomorrow afternoon. We'll. 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