Find the volume of the cylinder. Use 3.14 for . Round your answer to the nearest tenth
8in
10in
a.502.4 in3.
b.125.6 in3.
c.2009.6 in3.
d.251.2 in3.

Answer: the roots are x = 20 and x = -8

Step-by-step explanation:

We have the function

y = (1/4)x^2 - 3x - 40

We want to find the roots, that are the points in where y(x) = 0

For a quadratic equation of the form:

y = a*x^2 + bx + c the roots are:

[tex]x = \frac{-b +-\sqrt{b^2 -4*a*c} }{2*a}[/tex]

in this case we have:

[tex]x = \frac{3 +-\sqrt{3^2 +4*(1/4)*40} }{2*(1/4)}= \frac{3 +-7}{(1/2)}[/tex]

So the two roots are:

x = 2*(3 + 7) = 20

x = 2*(3 - 7) = -8

Answer:

x-intercept(s):

(1,0),(3/2,0)

y-intercept(s): (0,3)

Use the formula

x=−b/2a to find the maximum and minimum.

Ans;(5/4,−1/8)

Coordinates Of The Vertex

(5/4,−1/8)

Zero (roots)

x=1,3/2

Step-by-step explanation:

Answer:

B and E

Step-by-step explanation:

In the graph, the altitude represents Y axis while time represents the X axis. we can see that at interval 1 the function is dramatically decreasing. At Interval 2 the function is constant. At interval 3 the function is increasing but I can't say definitively if the slope is positive or negative. Hope this helped!

Answer:

it would be the same since its ON the x-axis ( the point does not change)

Step-by-step explanation:

Complete question:

Joel has a goal to practice his clarinet for 4 1/2 per week. The list below shows the number of hours Joel has a practiced so far for the week. Monday 1 1/2 hours Wednesday 1 1/4 hours Thursday 1 hour How many more hours does he need to practice this week to meet his goal

Answer: 3/4 hours

Step-by-step explanation:

Target hours = 4 1/2 hours = 9/2 hours

Number of hours so far :

(1 1/2 + 1 1/4 + 1) = (3/2 + 5/4 + 1) hours

Total so far :

L. C. M of denominator = 4

(6 + 5 + 4) /4 = 15/4

Number of hours left to meet his target equals :

Target hours - total so far

( 9/2 - 15/4)

L. C. M of denominator = 4

(18 - 15) / 4 = 3/4 hours

.

Answer:

x=2

Step-by-step explanation:

7(5+2x)+x=65

35+14x+x=65

35+15x=65

15x=65-35

15x=30/15

x=2

Answer:

x=2

Step-by-step explanation:

7×5=35

7×2x=14x+=65

so the equation would be

35+14x+x=65

add the variables together so:

35+15x=65

subtract 35 from 65 which makes it 30 so:

15x=30

now divide both sides by 15

which makes the anwer x=2

Answer:

35x + 15 = 155

35x = 155 minus 15

it will take 4 months to pay off the debt.

Hope this helps. Mark brainliest please!

Answer:

35x + 15 = 155

35x = 155 - 15

It will take 4 months to pay off debt

Step-by-step explanation:

Its mental so idk but trust me <3

Answer:

is there a picture?

Step-by-step explanation:

Answer:

1-4 0-6

Step-by-step explanation:

Answer:

Width = 160

Length = 110

Step-by-step explanation:

Perimeter is the sum of all the sides

They tell you that the length is 50 m shorter than the width

so L = W - 50

W = W

540 = W + W + W-50 + W-50

540 = 2W + 2(W-50)

540 = 2W + 2W - 100

540 = 4W - 100

640 = 4W

W = 160

L = 160 - 50

L = 110

Answer:

Length: 110 m

Width: 160 m

Step-by-step explanation:

The formula for perimeter of a rectangle is P = 2L + 2W.

We can write the length in terms of width if width is w:

Length: w - 50

Width: w

Plug the values into the formula.

540 = 2(w - 50) + 2w

540 = 2w - 100 + 2w

540 = 4w - 100

640 = 4w

w = 160

find length by subtracting 50 from the width

160-50=110

Therefore, the length is 110 and the width is 160.

Answer:

-34

Step-by-step explanation:

All you have to do is subtract by 4 until you count to 15 which then leads you to the number -34

Answer:

5x +2

Step-by-step explanation:

6x+3−(x+1) =

Distribute the minus sign

6x +3 -x -1

5x +2

Answer:

[tex]5x + 2[/tex]

Step-by-step explanation:

[tex]6x + 3 - (x + 1) \\ 6x + 3 - x - 1 \\ = 5x + 2[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

c because 10gallons per min is to much

Step-by-step explanation:

The water in the tank is decreasing at a rate of 2 gallons per minute. Therefore, option C is the correct answer.

The general equation of a straight line is y=mx+c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis.

The given table shows a linear relationship between the amount of water in a tank and time.

From the table we have (0, 30), (5, 20) and (10, 10).

Now, slope m=(20-30)/(5-0)

m= -2

Substitute (x, y)=(0, 30) and m=-2 in y=mx+c, we get

30=-10(0)+c

c=30

Now equation is y=-2x+30

Here, the water in the tank is decreasing at a rate of 2 gallons per minute.

Therefore, option C is the correct answer.

To learn more about the equation of a line visit:

https://brainly.com/question/2564656.

#SPJ2

Answer:

She used 600 square inches of paper.

Step-by-step explanation:

Since the box are 15 in x 10 in x 2 in and are stacked on top of each other, they form a bigger rectangular prism with 15 in x 10 in x 6 in. In order to calculate how much paper she used, we need to calculate the surface area of this prism, this is done by using the following formulla:

surface area = 2*width*length + 2*width*height + 2*length*height

surface area = 2*15*10 + 2*15*6 + 2*10*6 = 300 + 180 + 120

surface area = 600 in².

She used 600 square inches of paper.

Answer:

there is nothing there

Step-by-step explanation:

literally

Answe    

Step-by-step explanation:

Answer:

No.

Step-by-step explanation:

It’s not possible. No matter what type of quadrilateral it is, there will only be two triangles formed, verifying that the sum of the interior angles of a quadrilateral is always 360°.

It’s not possible to triangulate a quadrilateral and get more or fewer than two triangles. It is verifies that the sum of the interior angles of a quadrilateral is always 360°.

Any closed figure made by 4 line segments joined end to end in series is called a quadrilateral.

It’s not possible to triangulate a quadrilateral and get more or fewer than two triangles. No matter what type of quadrilateral it is, there will only be two triangles formed.

We know that The sum of internal angle of a quadrilateral is 360°.

The sum of angle in a triangle is 180°. By Adding the two triangle angle together, we will get the sum as 360°.

The Sum of the interior angle of a polygon = 180(n-2) .

It is verifies that the sum of the interior angles of a quadrilateral is always 360°.

Learn more about quadrilateral;

https://brainly.com/question/2477872

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Answer:

A, B, E  

explanation:                                                                                                                                            

Answer:

A: The range of scores is 38.

B: Without the outlier, the range of scores would be 12.

C: The outlier impacts the range more than it impacts the interquartile range.

D: The interquartile range is 9.

F: Without the outlier, the interquartile range would be 9.5.

Step-by-step explanation:

edg2020

Answer:

the last one

Step-by-step explanation:

a number used to multiply a variable

Answer:

Step-by-step explanation:

16 triangles

Answer:

84 cars

Step-by-step explanation:

the the ratio is 7 to 2. There were 108 vehicles. 108/ 9=12

12 x 7= 84.... or at least that's how I think of it.

Answer:

x = -9

x = 6 BUT IT DOES NOT WORK WHEN YOU PLUG IT BACK IN

Step-by-step explanation:

Triangle area = 1/2 bh

The area is given (44)

base = 2x-4

height = x+5

44 = 1/2 (2x-4) (x+5)

Distribute

44 = 1/2 (2x^2 + 10x - 4x - 20)

44 = 1/2 (2x^2 + 6x - 20)

Take out a 2

44 = 2 * 1/2 (x^2 + 3x - 10)

44 = x^2 + 3x - 10

Subtract 44

0 = x^2 + 3x - 54

Factor the way you like and you should get

(x + 9) (x - 6)

x = -9

x = 6

If you plug them in only the -9 works.

44 = 1/2 (-22) (-4)

Answer:

x=6

Step-by-step explanation:

[tex]\frac{1}{2} (2x-4)(x+5)=44\\(x-2)(x+5)=44[/tex]

[tex]x^{2} -2x+5x-10=44\\x^{2} +3x-54=0[/tex]

[tex]x^{2} +9x-6x-54=0\\x(x+9)-6(x+9)=0\\(x+9)(x-6)=0\\x=-9(rejected),6[/tex]

side is 2×6-4=8 units

height=x+5=6+5=11 units

x=-9 is  rejected because it gives negative side and negative height.

Answer:

s = 4 3/4.

Step-by-step explanation:

The formula is s = ut + 1/2 at^2

so s =  10^1/2 + 1/2 * -2 * (1/2)^2

s = 5 - 1/4

= 4  3/4.

Answer:

33/48, 34/48, 35/48

Step-by-step explanation:

2/3 is equal to 32/48 and 3/4 is equal to 36/48. The fractions in between them are all rational numbers. Hope this helped <3

Answer:

In mathematics, a function is a binary relation over two sets that associates to every element of the first set exactly one element of the second set. Typical examples are functions from integers to integers or from the real numbers to real numbers.

Step-by-step explanation:

Answer:

There are 10 fourths.

Step-by-step explanation:

There are four 1/4ths in 1. So 2.5 x 4 = 10.

Answer:

2 1/2 is the same as 5/2 which is the same as 10/4, so 10 is the answer :)

Step-by step solution

Answer:

He is correct

Step-by-step explanation:

Here, we have 3 types of coins which are;

3 quarters

2 dimes

3 nickels

Now, we want to obtain the probability that if two coins are selected, both will be dimes.

Now, this probability is kind of delicate. This is because he is selecting only at a single time, the two coins.

Thus, the probability of the two coins coming out at the same time and they are both dimes will be 2/8 = 1/4

This shows that she is correct.

Kindly note that our answer is 1/4 because she is making the selection at the same time and not once at a time

Answer:

The radius is 14

Step-by-step explanation:

The circumference of the circle is 28 pi

C = 2* pi *r  where r is the radius

28 pi = 2 pi *r

Divide each side by 2 pi

28 pi/2pi = 2 pi *r/2pi

14 = r

Answer: Increased A.

Step-by-step explanation: