a sphere and a cylinder have the same volume. each figure has a radius of 13. what is the height of the cylinder?

The expression of the unit rate was defined with all parameters rightly inputed the Molly's unit rate is 2.5 pages per minutes

Given Data

The speed/ rate is defined as the number of pages read per minutes passed

Hence the expression for the unit rate is given as

Unit Rate = Number of pages/Time Taken

Substituting our given Parameters

Unit Rate = 75/30

Unit Rate = 2.5 pages per minutes

Learn more about speed here:

https://brainly.com/question/4931057

Answer:

Rounded to the nearest whole number is 1

Step-by-step explanation:

when you divide 6 by 5 you get 1.2. Since 2 is not five or greater you round down.

Answer:

(-0.5,-2.5)

Step-by-step explanation:

⇒ 2 + -3 = 5

⇒ 5 / 2 = -0.5

⇒ 4 + -9 = -5

⇒ -5 / 2 = -2.5

→ = (-0.5, -2.5)

Answer:

X = -0.5

Y = -2.5

Step-by-step explanation:

I found this by the forumla determine the X1 and X2 add the together then divide it by 2 for the value of X midpoint. Then add Y1 and Y2 and divide it by 2 together for the value of Y midpoint.

Answer:

1/17 mL of water

Step-by-step explanation:

5p = 85w

Divide both sides by 85.

5p/85 = 85w/85

p/17 = w

w = p/17

For 1 mL of papaya juice, p = 1.

w = 1/17

1/17 mL of water is used for 1 mL of papaya juice.

Answer:

300 text messages sent or received

Step-by-step explanation:

.16 x 300 = 48 which is the same amount as the unlimited texting

Answer:

300

Step-by-step explanation:

this is the answer to this question

Answer:

(f+g)(x) = 5x - 1

Step-by-step explanation:

Let f(x) = 3x + 4 and g(x) = 2x - 5 find (f+g)(x)

f(x) = 3x + 4 and g(x) = 2x - 5, find (f+g)(x)

(f+g)(x) =

f(x) + g(x)

3x + 4 + 2x - 5 (combine like terms)

5x - 1

Therefore, (f+g)(x) = 5x - 1

Hope this helps!

Answer:

5x -1

Step-by-step explanation:

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

5x - 1

Answer:

a) £600

b) £1400

Step-by-step explanation:

a)  Set up a ratio of price to percentage of original price.

Let x = original price

⇒ £420 : 70 = £x : 100%

[tex]\sf \implies 420 : 70 = x : 100[/tex]

[tex]\sf \implies \dfrac{420}{70}=\dfrac{x}{100}[/tex]

[tex]\sf \implies x=100\cdot\dfrac{420}{70}[/tex]

[tex]\sf \implies x=600[/tex]

Therefore, the original price of the bracelet was £600

b) Set up a ratio of price to percentage of original price.

If the ring is reduced by 40% then it is now 60% of the original price, since 100% - 40% = 60%

Let x = original price

⇒ £840 : 60% = £x : 100%

[tex]\sf \implies 840 : 60 = x : 100[/tex]

[tex]\sf \implies \dfrac{840}{60}=\dfrac{x}{100}[/tex]

[tex]\sf \implies x=100\cdot\dfrac{840}{60}[/tex]

[tex]\sf \implies x=1400[/tex]

Therefore, the original price of the ring was £1400

Answer:

9 packages of beads

Step-by-step explanation:

volume of cuboid = area of base × height

⇒ volume of jewelry box = (15 × 12) × 6

                                          = 180 × 6

                                          = 1080 in³

Given:

Number of packages of beads = volume of box ÷ volume of 1 package of beads

⇒ Number of packages of beads = 1080 ÷ 120

                                                        = 9

Answer:

  24 square units

Step-by-step explanation:

There are a couple of ways you can figure the area of the frame:

__

The dimensions of the outer rectangle are twice the frame width plus the dimensions of the inner rectangle. That makes them 8 wide by 6 high. Then the difference of areas is ...

  A = (8)(6) -(6)(4) = 48 -24 = 24 . . . . square units frame area

__

The centerline of the frame is a rectangle with 1 unit greater length and width than the inner rectangle. It is 7 units by 5 units, so will have a perimeter of ...

  P = 2(L+W) = 2(7+5) = 24 . . . . units

Then the area of the frame is this length multiplied by the width of the frame:

  A = (24)(1) = 24 . . . . square units frame area

Answer:

42cm

Step-by-step explanation:

It's a rectangle so sides are 6, 6, 15, 15. Σs = 42.

Answer:

12

Step-by-step explanation:

Laura makes 14 dollars an hour and it will take her 12 hours to make a total of $168!

Answer:549.81

Step-by-step explanation:because that is thhe answer you get

Answer:

$549.81

Step-by-step explanation:

Price

Money in hand

Money needed

Answer:

It is squash

Step-by-step explanation:

This is because for every 3 tomatoes there is one squash. 1 squash times 3 is 3. 3 tomatoes times 3 is 9.

Answer:

B is the correct answer

Step-by-step explanation:

42/7 = 6

60/6 =10

Answer:

[tex]A=2000e^{0.085t}[/tex]

Step-by-step explanation:

Make sure you understand the formula for continuous compounding first. The formula is:

[tex]A=Pe^{rt}[/tex] where

A= Total

P= Principal (or the amount invested at beginning)

r= Interest rate (as a decimal)

t= Time (in years)

Note: e is an irrational mathematic number similar to π. Its value is around 2.72, but for these problems, you’ll need to use the version already on your calculator that will be called “[tex]e^{x}[/tex].” On most calculators, it can be accessed by 2nd → ln.

Find the values that you are given:

A= What you are looking for

P= 2000

r= 8.5% as a decimal = 0.085

t= What you change

Plug these into the equation:

[tex]A=2000e^{0.085t}[/tex]

This is the answer!

Based on the calculations, the height of this ravine is equal to 143.95 feet.

Given the following data:

First of all, we would assign a variable to the height of the ravine, which is 100 feet tall.

Let the height of ravine be h.

Note: We would choose 46° as a measure for angle A.

From the image attached, we would determine the length of the hypotenuse by using Cosine trigonometric:

[tex]Cos A=\frac{Adj}{Hyp} \\\\Cos 46=\frac{100}{h} \\\\0.6947=\frac{100}{h}\\\\h=\frac{100}{0.6947}[/tex]

h = 143.95 feet.

Read more on trigonometry functions here: https://brainly.com/question/4515552

Answer:

  392.5 in²

Step-by-step explanation:

The area of a composite figure is found by decomposing it into areas that you have formulas for. This figure is easily decomposed to a trapezoid and a rectangle.

The base lengths of the trapezoid are 20 in and 9 in. Its height is the difference between the height of its top base (21 in) and the height of its bottom base (16 in). That difference is 5 in.

  A = 1/2(b1 +b2)h

  A = 1/2(20 in + 9 in)(5 in) = 72 1/2 in²

__

The area of a rectangle is the product of its base and height.

  A = bh

  A = (20 in)(16 in) = 320 in²

__

The area of the whole figure is the sum of the areas of its parts.

  area = trapezoid area + rectangle area

  area = 72 1/2 in² +320 in² = 392 1/2 in²

Answer: 3(1-4x)

Step-by-step explanation: if you distribute the answer, you will get 3-12x.

Have a nice day!

Answer:

(a)  144 ft

(b)  2 s

(c)  5 s

(d)  128 ft

Step-by-step explanation:

[tex]h(t) = -16t^2 + 64t + 80[/tex]

Part (a)

To find the turning point of the parabola:

1. differentiate the function:

[tex]\implies h'(t) = -32t + 64[/tex]

2. Set it to zero and solve for t:

[tex]\implies h'(t) =0[/tex]

[tex]\implies -32t + 64=0[/tex]

[tex]\implies 32t = 64[/tex]

[tex]\implies t=2[/tex]

3. Input found value of t back into the function and solve for h:

[tex]\implies h(2) = -16(2)^2 + 64(2) + 80=144[/tex]

Therefore, the maximum height reached by the ball is 144 ft

Part (b)

As found in part (a), the maximum height is reached when t = 2, so the ball reached its maximum height at 2 seconds.

Part (c)

The ball will hit the ground when h(t) = 0

1. Set the function to zero

[tex]\implies h(t)=0[/tex]

[tex]\implies -16t^2 + 64t + 80=0[/tex]

2. Solve for t:

Divide both sides by 16

[tex]\implies -t^2 + 4t + 5=0[/tex]

[tex]\implies t^2 - 4t - 5=0[/tex]

Factor:

[tex]\implies t^2 +t-5t - 5=0[/tex]

[tex]\implies t(t+1)-5(t+1)=0[/tex]

[tex]\implies (t+1)(t-5)=0[/tex]

Therefore:

[tex](t+1)=0 \implies t=-1[/tex]

[tex](t-5)=0 \implies t=5[/tex]

As time is positive, t = 5

So the ball will hit the ground at 5 seconds.

Part (d)

To find the height of the ball after 1 second, input t = 1 into the function and solve for h:

[tex]\implies h(1) = -16(1)^2 + 64(1) + 80=128[/tex]

Therefore, the height of the ball after 1 second is 128 ft

--------------------------------------------------------------------------------------

Parts (a) & (b) - alternative method

Rewrite the function in vertex form by completing the square.

Set the function to zero:

[tex]\implies-16t^2 + 64t + 80=0[/tex]

Subtract 144 from both sides:

[tex]\implies -16t^2+64t-64=-144[/tex]

Factor out -16:

[tex]\implies -16(t^2 - 4t +4)=-144[/tex]

Factor expression in brackets:

[tex]\implies -16(t-2)^2=-144[/tex]

Add 144 to both sides:

[tex]\implies -16(t-2)^2+144=0[/tex]

Therefore:

[tex]\implies h(t)=-16(t-2)^2+144[/tex]

The maximum height is the y-value of the vertex.

The vertex is (2, 144) so the maximum height is 144 ft.

The time the ball reached the max height is the x-value of vertex.

So the time then the ball reached the maximum height is 2 s

Answer:

1. x + y = 180

2. x = 50 y= 130

Step-by-step explanation:

They're parallel.

We can label the unamed angle z.

So z = y

and 50 = x

There's 360 degrees in a circle, so x + y= 180 because it's half 360 and half a circle.

x=50

so 50 + 50 = 100.

360 - 100 = 260

so 260 ÷ 2 = 130

y = 130 because y and z are equal so they're the same number

Step-by-step explanation:

1. x+y=180

hope that helps

Answer: y=x-6

Step-by-step explanation:

5 quarts I think 4 cups per quart has 5 quarts and 2 cups I think

Answer:

1 quart = 4 cups

8 × 4 = 32

32 - 6 = 26

26 - 18 = 8

he has 2 quarts left

Answer:

yes your answer is 45 degree

Answer:

105°

Step-by-step explanation:

There 360° in a circle, so...

360°-150°-105°=105°

check: 150°+105°+105°= 360°

[Answer] 105°

Answer:

ans is 10

Step-by-step explanation:

by using pythagoras theorm

26^2=a^2+24^2

a^2=100

a=10

Answer:

4x^3 - 22x^2 + 6x + 20

Step-by-step explanation:

((b1+b2)/2)(h)

Answer:

Center: (1,−4)

Radius: 2

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

100° is an exterior angle of Δ MLN , then

∠ LMN + 60° = 100° ( subtract 60° from both sides )

∠ LMN = 40°