Determine the volume of the cylinder. Use 3.14 for T.
2 in.
SOUP
6.5 in.
cubic inches

The total change in the water in the pool after 2 1/2 hours given the rate of leakage is -3 1/8,

A fraction is a non-integer. It is made up of numerators and denominators. A mixed fraction is made up of a whole number and a proper fraction. An example is 2 1/2.

The total change in the water = -1 1/4 x 2 1/2

= -5/4 x 5/2 = -25/8 = -3 1/8

To learn more about multiplication of fractions, please check: brainly.com/question/1114498

Answer:$1,457.50

Step-by-step explanation:

Answer:

Bobbi burned the most calories per hour.

Step-by-step explanation:

Ratio

452:2.25

1045:3.5

to simplify the ratios, divide to the unit rate.

452/2.25:2.25/2.25

≈201:1 hour, burned 201 calories in 1 hour

1045/3.5:3.5/3.5

≈299:1 hour, burned 299 calories in 1 hour

299 > 201

Answer:

Bobbi burned the most calories per hour.

Step-by-step explanation:

Ratio

452:2.25

1045:3.5

to simplify the ratios, divide to the unit rate.

452/2.25:2.25/2.25

≈201:1 hour, burned 201 calories in 1 hour

1045/3.5:3.5/3.5

≈299:1 hour, burned 299 calories in 1 hour

299 > 201

Answer: 3/10

Step-by-step explanation:

Hat price 3/5

Shirt price 9/10

Difference in Discount 2/5 - 1/10 = 4/10 - 1/10

Answer:

D. Triangles B and C

Step-by-step explanation:

When we look to Triangles B & C :-

37° = 37°

53° = 53°

90° = 90°

Therefore, both Triangles B and C are similar.

Answer:

D. Triangles B and C

Step-by-step explanation:

The horizontal distance from the base of the skyscraper out to the ship would be 401.1 feet.

Trigonometric ratios for a right-angled triangle are from the perspective of a particular non-right angle.

In a right-angled triangle, two such angles are there which are not right angled(not of 90 degrees).

The slanted side is called the hypotenuse.

Let d the horizontal distance from the base of the skyscraper out to the ship. Since the angle of depression is 67°, hence:

Angle = 90 - 67 = 23°

Using trigonometric ratio:

tan(23) = d/ 945

d = 401.1 feet

The horizontal distance from the base of the skyscraper out to the ship would be 401.1 feet.

Find out more on trigonometric ratio at:

brainly.com/question/24349828

#SPJ2

Answer:

x/3=5

cross multiply

x=3x5

x=15

Answer:15

Step-by-step explanation:

Step 1: Multiply both sides by 3.

x over 3 = 5

(x/3)*(3)=5*3

x=15

Answer:

786cm

Step-by-step explanation:

this should be right... hopefully

Answer:

136

Step-by-step explanation:

Let's plug in 7 for x. 3(7)^2-2(7)+3. 7 to the second power is 49. 49*3 is equal to 147. 147-2(7) is 147-14, which is 133. 133+3=136, and therefore that is the answer.

Answer:

136

Step-by-step explanation:

substitute x = 7 into the expression

3x² - 2x + 3

= 3(7)² - 2(7) + 3

= 3(49) - 14 + 3

= 147 - 11

= 136

Step-by-step explanation:

4) 36

5) 45⁰

6) 42⁰

I hope it helped you

Answer:

Footsteps

Step-by-step explanation:

When you take footsteps, you leave them behind as well.

Answer:

(4,8)

Step-by-step explanation:

=(1+2/2,1+2/2)

=(10+−2/2,17+−1/2)

=(8/2,16/2)

=(4,8)

Answer:

100%

Step-by-step explanation:

You take everything away meaning you take 100% of the starting value to make it 0

Answer:

To find the height of this prism, let's use the formula for the volume of a rectangular prism:

V = l · w · h

And this is what we know:

Now we are left to find the height, so plug in what we know into the formula I mentioned earlier:-

V = l · w · h

35 = 22 · 2.5 · h

Solve for 'h'!

35 = (22 · 2.5) · h

35 = 55 · h

35 = 55h

÷55  ÷55

35/55 = h

Which simplifies to:

7/11 = h, the height is 7/11 inches.

Double check;

V = l · w · h

V = 22 · 2.5 · 7/11

V = 35, which is correct!

Answer:21.1 in ^3

Step-by-step explanation:

Answer:

Step-by-step explanation:

A. Greatest common factor is 6, so wrong.

B. Correct.

C. Wrong, least common multiple is 8.

D. Wrong, least common multiple is 12.

Answer:

928,543,543,300

Answer:

j=4/6

Step-by-step explanation:

use sadmep to simplify the equation

Answer:

Number of maple trees planted = 462

Step-by-step explanation:

Let the number of oak trees planted be x.

Given,

The number of maple trees is 11 times the number of oak trees.

Therefore,

Number of maple trees planted = 11 * x = 11x

Total number of trees planted = Number of oak trees planted + Number of maple trees planted

504 = x + 11x

504 = 12x

x = 504/12 = 42

Number of oak trees planted = x = 42

Number of maple trees planted = 11x = 11 * 42 = 462

Answer:

x = 3 oz of seeds

y = 7 oz of seeds

Step-by-step explanation:

1. x + y = 10 oz (total amount of snack mix in ounces; oz)

2. $1.50x + $2.50y = $22 (how much the seeds and dried fruit costs)

3. Solve the system of equations using algebra.

$1.50 x + $1.50y = $15

$1.50 x + $2.50y = $22

There are $1.50x's in both of the equations, so cancel them out.

Subtract $2.50y by $1.50y and $22 by $15. y = 7

4. Plug in the y value in one of the equations.

x + 7 = 10; x = 3

The one way to determine factors of x³  + 11x² – 3x – 33  will be [tex]x^2(x+11)-3(x+11)_[/tex].

It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.

The steps involved in the factorization are;

1. For each pair of parentheses, we create a common factor.

2. We use x2 as a common factor for the first parenthesis.

3. We use common factor 3 for the second parenthesis.

[tex]x^3 + 11x^2 - 3x -33 \\\\ x^2(x+11)-3(x+11)_[/tex]

We will find the final solution as [tex]x^2(x+11)-3(x+11)_[/tex].

Hence the one way to determine factors of x³  + 11x² – 3x – 33  will be [tex]x^2(x+11)-3(x+11)_[/tex].

To learn more about the factorization refer to the link;

https://brainly.com/question/24182713

Answer: x=-2

Step-by-step explanation:

Isolate the variables + divide each side.

Answer:

Step-by-step explanation:

Let the height be x.

We know the formula for volume of the box.

Dimensions

Answer:

A)

Step-by-step explanation:

Given function:  

[tex]h(t)=-16t^2+75t+25[/tex]

The domain (input values) will be the x-intercepts, so the values of t when h(t) = 0.

The quickest way to find these is to use the quadratic formula.

Quadratic Formula

[tex]x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when}\:ax^2+bx+c=0[/tex]

[tex]\implies t=\dfrac{-75 \pm \sqrt{75^2-4(-16)(25)} }{2(-16)}[/tex]

[tex]\implies t=\dfrac{-75 \pm \sqrt{7225}}{-32}[/tex]

[tex]\implies t=\dfrac{75 \pm 85}{32}[/tex]

[tex]\implies t=5, t=-\dfrac{5}{16}[/tex]

Time cannot be negative.

When h(t) = 0, the disk will hit the floor.

Therefore, the domain is restricted to 0 ≤ t ≤ 5

Answer:

47.3

Step-by-step explanation:

To find the standard deviation use this example formula

[tex]a =\sqrt{\frac{(x-u)^{2} }{N} }[/tex]

a = your answer, the standard deviation you are looking for

x = the value of each carrier

u = the carrier numbers mean (such as mean, median, and mode)

N = the overall total of the carriers

If you find this equation still confusing one of my favorite sites to use is Math.way, where you plug in each number with a comma in between and it solves it for you. Other sites work such as Calculatornet, Calculator.Soup, and Math.is.Fun.

Hope this helps :)

Answer:

they made $45

Step-by-step explanation:

divide 150 by 2 to get $75 - 30 = $45

Answer:

x2−2x−8

Step-by-step explanation:

Answer:

A = 1000(1.06)^t     where A is the amount of the investment after t years.

Read more at Answer.Ya.Guru – https://answer-ya.com/questions/2080217-scott-invests-1000-at-a-bank-that-offers-6-compounded-annually.html

Check the picture below.

[tex]p(h)=5000(2)^h\implies \stackrel{p(h)}{100000}~~ = ~~5000(2)^h\implies \cfrac{100000}{5000}=2^h \\\\\\ 20=2^h\implies \log(20)=\log(2^h)\implies \log(20)=h\log(2) \\\\\\ \stackrel{\textit{using the \underline{change of base rule}}}{\cfrac{\log(20)}{\log(2)}=h\implies \log_2(20)=h}\implies 4.3219\approx h[/tex]

The correct answer from the choices given will be -13 - 4i. The numerical part is the real number while the term containing i is the imaginary part.

A complex number is one that both a real and an imaginary component, both of which are preceded by the letter I which stands for the square root of -1.

The given complex number as;

[tex]\rm 13 + 4 i + n =0[/tex]

By transfeering the left-hand side term to the right-hand side the sign will change. We will get the value of n as;

[tex]\rm n=-13 - 4i[/tex]

Hence the correct answer from the choices given will be -13 - 4i.

To learn more about the complex number refer to the link;

https://brainly.com/question/10251853

Answer: Its D and for the second part its B

Step-by-step explanation: