At the Hardey Fitness Center, the management did a survey of their membership. The average age of the female members was 40 years old. The average age of the male members was 25 years old. The average age of the entire membership was 30 years old. What is the ratio of the female to male members? Express your answer as a common fraction.

Given:

Radius of the cylinder = 2 ft

Height of the cylinder = 5 ft

To find:

The volume of the cylinder.

Solution:

Volume of a cylinder is:

[tex]V=\pi r^2h[/tex]

Where, r is the radius and h is the height of the cylinder.

Putting [tex]\pi = 3.14,r=2,h=5[/tex] in the above formula we get the volume of the given cylinder is:

[tex]V=(3.14)(2)^2(5)[/tex]

[tex]V=(3.14)(4)(5)[/tex]

[tex]V=62.8[/tex]

Therefore, the volume of the given cylinder is 62.8 ft².

Answer:

Part 1: 2.4 + x

Part 2: 4(2.4 + x) = 14.8

Step-by-step explanation:

2.4 + x is the total distance covered every day.

We know that after 4 days, Bijan has run 14.8 miles, so in total he has run 4(2.4 + x) miles, which is equal to 14.8.

Extra: Here's how to work out x!

4(2.4 + x) = 14.8

9.6 + 4x = 14.8

4x = 5.2

x = 1.3

Hope that helps!

Answer:

60degrees

Step-by-step explanation:

SInce our reference angle is <V;

Opposite = WU = 7√3

Hypotenuse= WV = 14

Using the SOH CAH TOA identity

son m<V = opposite/hypotenuse

sin m<V = 7√3/14

sin m<V = √3/2

m<V = arcsin(√3/2)

m<V = 60degrees

Hence the measure of angle V is 60degrees

Answer:

.7

Step-by-step explanation:

I'm going to assume you meant to write all that stuff once

The conditional probability formula is as follows : (B|A)=(A∩B)/A

We're told that the two probabliites are independent of each other which means that A∩B= A*B

Which means we have

(.31*.7)/(.31)

This should simplify to .7

*note* a shortcut you can use when finding the conditional probability of two independent probabilities you can just take the first probability (or in this case B) and that'll be your final answer  

Answer:

when x=0 ,y=7

when x=-1, y=6

Step-by-step explanation:

Taking [tex]y=x^{2} +2x+7, y=x+7[/tex] as equation 1 and 2 respectively

Inserting equation 2 in 1,

[tex]x+7=x^{2} +2x+7\\[/tex]

getting rid of 7 since its in both the sides with the same + signs,

[tex]x^{2} +2x-x=0\\x^{2} +x=0\\x(x+1)=0\\x=0 / x=-1[/tex]

when x=0 ,

y=7

when x=-1 , y=6

Answer:

Stop believing that you are ugly.

Answer:

um can you pleasee take a clearer picture thankyou I cant see the things inside the circle properly

Step-by-step explanation:

Answer:

It’s the 3rd one

Step-by-step explanation: it’s the 3rd one

Answer:

22m²

Step-by-step explanation:

2 wide, 9 height is 18 for the rectangle figure. We see that the rectangle figure has a width of 2 while the entire width is 4. So 4-2 means the width of the right triangle that's split off is 2.

We see the rectangle height is 5, and total figure is 9, so 9-5 = height of 4 for the triangle.

4x2 x 1/2(since its a triangle) = 4

4+18 = 22

Answer:

20 mm (C)

Step-by-step explanation:

Answer:hope it helps

Step-by-step explanation:

Simplifying

2y + -4 = 14

Reorder the terms:

-4 + 2y = 14

Solving

-4 + 2y = 14

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '4' to each side of the equation.

-4 + 4 + 2y = 14 + 4

Combine like terms: -4 + 4 = 0

0 + 2y = 14 + 4

2y = 14 + 4

Combine like terms: 14 + 4 = 18

2y = 18

Divide each side by '2'.

y = 9

Simplifying

y = 9

The solution to the equation 2y - 4 = 14 is y = 9.

We have,

To solve the equation 2y - 4 = 14, we can isolate the variable y by performing the necessary operations:

First, we add 4 to both sides of the equation to eliminate the -4:

2y - 4 + 4 = 14 + 4

Simplifying, we have:

2y = 18

Next, we divide both sides of the equation by 2 to isolate y:

2y/2 = 18/2

Simplifying further:

y = 9

Therefore,

The solution to the equation 2y - 4 = 14 is y = 9.

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ6

Answer:

Growth;

A = 20,000(1.08)^t

A = 40(3)^t

P = 1700(1.07)^t

Decay;

A = 80(1/2)^t

A = 1600(0.8)^t

P = 1700(0.93)^t

Step-by-step explanation:

The key to differentiate between decay and growth is the term inside the bracket

For growth, the term inside the bracket is greater than 1, while for decay, the term inside the bracket is less than 1

Looking at the given equations, we have;

Growth;

A = 20,000(1.08)^t

A = 40(3)^t

P = 1700(1.07)^t

Decay;

A = 80(1/2)^t

A = 1600(0.8)^t

P = 1700(0.93)^t

Answer:

* For future readers *

I just took the test :)

Answer:

T (2, 2)

U (4 , 0)

V (1, -2)

Step-by-step explanation:

The translation is (x + 5, y), meaning 5 is being added to the X-values and Y stays the same.

Answer:

$2539.47

10.18722679 (make sure you round this)

Step-by-step explanation:

a.)

Equation for compound interest:

[tex]AV=P(1+\frac{i}{n})^{n*t}\\2000(1+\frac{.04}{4})^{4*6}\\2000(1.01)^{24}\\2539.469297\\[/tex]

which rounds to

2539.47

b.)

using the same equation we can write

[tex]3000=2000(1+\frac{.04}{4})^{4t}\\1.5=1.01^{4t}\\log_{1.01}1.5=4t\\log_{1.01}1.5=\frac{log(1.5)}{log(1.01)}=40.7489\\40.7489=4t\\10.18722679=t[/tex]

not sure how to round this, so I'll leave that part up to you

Answer:

34 < 72

Step-by-step explanation:

32 + 2 = 73 - 1

34 = 73 - 1

34 = 72

Answer:

Point W best represented by the ordered pair (2,-5.5)

Answer:

D

Step-by-step explanation:

SPONGEBOB!!

Answer:

v = 12121 m per week.

Step-by-step explanation:

Given that,

The object is moving at a speed of 2 centimeters every 7 seconds.

We need to find the speed in m per week.

2 cm = 0.02 m

1 week = 604800 s

7 s = [tex]1.65\times 10^{-6}\ week[/tex]

Speed = distance/time

So,

[tex]v=\dfrac{0.02\ m}{1.65\times 10^{-6}\ week}\\\\v=12121.21\ m/week \\\\or\\\\v=12121\ m/week[/tex]

So, the speed of the object is 12121 m per week.

Answer:

1728 meters per week, the answer of 1212 was wrong on my test.

Answer:

i think its 8.2

Step-by-step explanation:

Answer:

40 and 41.

Step-by-step explanation:

81/2 = 40.5, thus 40 and 41

Answer:

each tube costs $1.5 so put it the point in between 1 and 2

thank you

Step-by-step explanation:

Answer:

34

Step-by-step explanation:

Emily has 7 photos on one page of an album

She has 3 photos on the other of the 9 page

= 3×9

= 27

27+7

= 34

Hence she has 34 photos

9514 1404 393

Answer:

  maximum: +2

  minimum: -8

Step-by-step explanation:

The cosine has a minimum of -1 and a maximum of +1. Then the extremes of f(x) are ...

  5(±1) -3 = -3±5 = +2, -8

The maximum of f(x) is +2; the minimum is -8.

Answer:

19-13=4

Step-by-step explanation:

subtract the smallest number but the biggest and there's your answer

Answer:

V=84ft³

Step-by-step explanation:

Answer:

Heyaa!! My name is Pinky and im here to inform you that your answer is...

Step-by-step explanation:

!!! V=84ft³ !!!

My clarification or my work is:

V=w h l= 4· 7· 3 =84ft³

w= Width

L= Length

H= Height

Have an amazing dayy!!

~Pinky~

Answer:

NO

Step-by-step explanation:

The left side  0.25  does not equal to the right side  0.125  , which means that the given statement is false.

Answer:

no because is you change 1/4 to have a common denominator of 8 it will be 2/8 which doesn't equal 1/8

hope this helps

have a good day :)

Step-by-step explanation: