The volume of a cone with a radius of 7 cm is 147 pi cubic centimeters. Which expression can be used to find h, the height of the cone?
A. 147 pi = one-third (7) (h) squared
B. 147 pi = one-third pi (7 squared) (h)
C. 147 pi = one-third pi h
D. 147 pi = one-third pi (7) (h)

Answers

Answer 1

Answer:

B

Step-by-step explanation:

Volume = ⅓ pi × r² × h

147pi = ⅓ × pi × 7² × h

Answer 2

Step-by-step explanation:

Step 1:  Find the expression that can be used to find h

[tex]V = \pi * r^2 * \frac{h}{3}[/tex]

[tex]147 \pi = \pi * (7)^2 * \frac{h}{3}[/tex]

[tex]147\pi = \frac{1}{3} * \pi * 7^2 * h[/tex]

147 pi = one-third pi (7 squared) (h)

Answer:  Option B


Related Questions

Please help!

What is 5.2¯ expressed as a fraction in simplest form?


275

389

265

479

Answers

Answer:

Step-by-step explanation:

389

Answer. 3/89

Step-by-step explanation:

HEY FREN

How do you solve this question? With a step by step explanation please!

Answers

[tex]\frac{1}{4}x + 2 = -3 + \frac{1}{2} x[/tex]

First, we will take [tex]\frac{1}{4}[/tex]x to the right hand side of the equation, and -3 to the left hand side. In doing so, their signs will change (that is, they will be subtracted from the side that they are moved to).

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

2 + 3 = [tex]\frac{1}{4}[/tex]x

[tex]\frac{1}{4} x = 5[/tex]

Now, we will multiply both sides by 4, so as to find x.

[tex]\frac{1}{4} x[/tex] x 4 = 5 x 4

x = 20

Therefore, x = 20.

Rachel is making nachos for a party. The recipe calls for 23 cup of cheese for each plate of nachos. Part A How many full plates of nachos can Rachel make with 5 cups of cheese?

Answers

Answer: 0.22 plates

Step-by-step explanation:

Given that The recipe calls for 23 cup of cheese for each plate of nachos

1 plate = 23 cups

X plate = 5 cups

Cross multiply

5 = 23x

Make the x the subject of formula

X = 5/23

X = 0.22

Or 5/23 plate

5(2k-3)+17 helppppppppp i need it simplified

Answers

Answer:

2(5k + 1)

Step-by-step explanation:

5(2k - 3) + 17 =

10k - 15 + 17

10k + 17 - 15

10k + 2

2(5k + 1)

HELP FAST this is a late assignment

Answers

Answer:

A, C, and D

Step-by-step explanation:

They are subtracting

What the percent of 160 is 56? Use the bar model

Answers

Answer:

35%

Step-by-step explanation:

See attached for visual

160= 8*20 8 = 1/20 = 5% of 16056= 8*77*5% = 35%

56 is 35% of 160

there are 5 times as many tulips as rose bushes in a garden.there are 15 tulips . how many rose bushes are in the garden/

Answers

Answer:

There are 3 roses in the garden.

Step-by-step explanation:

If there are 5 times as man tulips in the garden as the roses, you would have to count 3, 5 times in order to get 15 which brings us to the answer of 3 roses in the garden.

What is the compliment of Mariah choosing three mysteries?

Answers

What do you mean by Compliment???

Round off 9852 to 1 significant figure

Answers

Answer:

10000

Step-by-step explanation:

9852

Means we are rounding to the thousands place

We look at the hundreds place

8 is greater than or equal to 5 so we round the thousands place up

9 becomes 10

9852 becomes 10,000

Answer:

Step-by-step explanation:

10000

find the zeros for (x+7) (x+5)+0

Answers

Steps to solve for the zero:

(x + 7)(x + 5) = 0

~Set both factors to equal zero

x + 7 = 0

x + 5 = 0

~Solve for x in [ x + 7 = 0 ]

x + 7 = 0

x + 7 - 7 = 0 - 7

x = -7

~Solve for x in [ x + 5 = 0 ]

x + 5 = 0

x + 5 - 5 = 0 - 5

x = -5

Therefore, the solutions are x = -7 and x = -5

Best of Luck!

A rectangular prism has the dimensions of 2in, 5in, and 7in. What is the volume of the prism?

Answers

Answer:

70 inches cubed.

Explanation:

w•l•h=v

Visitors to a public library were asked how many miles they lived from the library. The table shows their responses.
Number of miles
1.5 2.3 3.5 2 1.8
1.8 1.9 0.5 2.5 2.4
4.8 3.7 0.6 2 2.4
2.5 1.5 0.5 1.8 0.8



Of these visitors, the first 10 people to check out books lived the following miles from the library.
Number of miles
0.5 1.8 0.8 1.8 3.5
4.8 0.6 2 1.5 0.5

What is the sample mean for the data?



Enter your answer in the box.
x¯ = __ mi

Answers

Answer:

The sample mean = 1.8

Step-by-step explanation:

I just completed the test and this was the correct answer

The sample mean for the data is 1.8 if the first 10 people to check out books lived out of 20 population.

What are population and sample?

It is defined as the group of data having the same entity which is related to some problems. The sample is a subset of the population, it is a part of the population.

We have:

Total number of population = 20

To calculate the sample mean:

Total number of samples N = 10

Sum of the sample values ∑x = 0.5+1.8+0.8+1.8+3.5+4.8+ 0.6+ 2+1.5+0.5

∑x = 17.8

Now the mean of the sample data =  ∑x/N = 17.8/10 = 1.78 ≈ 1.8

Thus, the sample mean for the data is 1.8 if the first 10 people to check out books lived out of 20 population.

Learn more about the population and sample here:

brainly.com/question/9295991

#SPJ2

The combustion of 0.25 mol of an unknown
organic compound results in the release of 320 kJ
of energy. Which of the compounds in the table
could be the unknown compound?

Answers

Answer:

ethanol

Step-by-step explanation:

The enthalpy of combustion is the amount of heat produced when one mole of ethanol undergoes complete combustion at 25 ° C and 1 atmosphere pressure, yielding products also at 25 ° C and 1 atm.

The enthalpy of combustion of the unknown compound is

ΔH = - 320 kJ / 0.25 mol = - 1280 kJ / mol

To choose a probable compound according to this combustion enthalpy, we must evaluate the deviation in relation to the values reported in the literature for the three probable compounds (methane, ethylene and ethanol). The deviation (e%) will be calculated according to the following equation,

e% =  ( | ΔHx - ΔH | / ΔHx ) x 100%

where ΔHx is the enthalpy of combustion of the probable compound.

The following table shows the combustion enthalpies of the probable compounds and their deviation in relation to the enthalpy of ΔH = - 1280 kJ / mol

Compound Enthalpy of combustion (kJ/mol)   Deviation

Methane                        - 890.7                                 43.8%

Ehylene                         -1411.2                                   9.3%

Ethanol                        -1368.6                                    6.5%

According to the previous table, we can say that the most probable compound is ethanol, since it has the smallest deviation in relation to the experimental enthalpy value of combustion.

Read more on Brainly.com - https://brainly.com/question/12081414#readmore

Answer: ethanol

Step-by-step explanation:

Got it right on edge

Real World Problems with Rational Numbers
26
Directions: Drag each point to the correct location on the number line.
Jean climbed 3 of the distance to the top of the cliff as shown on the number line. Terry climbed 3 of the distance less than Jean.
Steve climbed 5 of the distance more than Jean. Drag the points to the correct locations on the number line.
Terry
Steve
1

Answers

Answer:

aiaavaobsoavvdiabajiaveoaveugwviaoqjavdjoagw

Factor the trinomial
The factors of m^2+12m+35 are ____ and ____

Answers

Factor:

(m+5)(m+7)

Solve for the numbers inside, set it = to 0:

m+5=0 >solve
m=-5

m+7=0>solve
m=-7

I NEED HELP NOOOOOWWWW!!!!!!!!

Answers

Answer: [tex]1590cm^3[/tex]

Step-by-step explanation:

[tex]V=\frac{3\sqrt{3} }{2}a^2h[/tex]

a = base

h = height

[tex]V=\frac{3\sqrt{3} }{2}(6cm)^2(17cm)[/tex]

Solve the parentheses squared first.

[tex]V=\frac{3\sqrt{3} }{2}(36cm^2)(17cm)[/tex]

2 and 36 can be simplied

2/2=1

36/2=18

[tex]V=3\sqrt{3}(18cm^2)(17cm)[/tex]

[tex]V=3\sqrt{3}(306cm^3)\\ V=1590.02cm^3[/tex]

Rounded to the nearest whole number... [tex]1590cm^3[/tex]

Write these values in order, starting with the smallest.
The first one has been done for you.

0.15 1/10 12% 1/20
A. B. C. D.

[D] [ ] [ ] [ ]

Answers

9514 1404 393

Answer:

  D B C A

Step-by-step explanation:

The decimal equivalents are ...

  A 0.15 = 0.15

  B 1/10 = 0.10

  C 12% = 0.12

  D 1/20 = 0.05

Least-to-greatest, the order is D B C A.

Find the area of the triangle

Answers

Answer:

32

Step-by-step explanation:

you add together the 2 and 6 which gets you 8 and since the formula for the area of a triangle is bass * height divided by 2 you would do 8 * 8 which is 64 and then you divide by 2 which is 32  

Simplify the expression. Write your answer as a power. (−3)^4(−3)^1

Answers

Answer:

-243

Step-by-step explanation:

The frame of the given window is made
of a rectangle with semi-circular top.
Find its perimeter and area.
2.1 m
1.4 m​

Answers

Answer:

3.7096902=area

Step-by-step explanation:

2.1x1.4=2.94m^2

2.94+(.5pi(.7^2))

1.-En una estación de autobuses de la Ciudad de México hay dos líneas que llevan a Cuautla, Morelos. Ambas tienen salidas desde las 6:00 am, la primera, tiene salidas cada 15 minutos y la segunda cada 20. Si los primeros camiones de ambas líneas salen a las 6:00, ¿a qué hora coincidirán nuevamente en la salida?

2.-Tita está haciendo unos recuerdos y está colocando dulces en ellos. Tiene 48 paletas de malvavisco y 32 bolsitas de lunetas. Quiere repartirlos en partes iguales y que a cada familiar le toque el número mayor de dulces y de manera exacta. Calcula el número máximo que le puede tocar a cada persona, cuánto le toca a cada uno y hasta cuántos recuerdos puede hacer.

Answers

Answer:

1) 7 : 00 am, 2) 3 paletas de malvavisco, 2 bolsitas de lunetas, 16 recuerdos.

Step-by-step explanation:

(Both exercises are written in Spanish. Hence, explanations will be held in that language)

1) Las ecuaciones que describen el tiempo transcurrido en función del número de salidas de cada línea son, respectivamente:

Primera Línea

[tex]t_{1} = 15\cdot n_{1}[/tex]

Segunda Línea

[tex]t_{2} = 20\cdot n_{2}[/tex]

Donde t se mide en minutos. La siguiente relación se obtiene a partir de de igualar y sustituir el tiempo de ambas ecuaciones.

[tex]15\cdot n_{1} = 20\cdot n_{2}[/tex]

La siguiente relación es construida:

[tex]n_{1} = \frac{20}{15}\cdot n_{2}[/tex]

[tex]n_{1} = \frac{4}{3}\cdot n_{2}[/tex]

Tanto [tex]n_{1}[/tex] como [tex]n_{2}[/tex] son números naturales, si [tex]n_{2} = 3[/tex], entonces:

[tex]n_{1} = 4[/tex]

Finalmente, el tiempo transcurrido es:

[tex]t_{1} = 15\cdot (4)[/tex]

[tex]t_{1} = 60\,min[/tex]

En consecuencia, las salidas coincidirán a las 7 : 00 am.

2) El máximo número de recuerdos es determinado por el menor número de determinados dulces. Las bolsitas de lunetas representan el limitante, la razón de paletas de malvavisco a bolsitas de lunetas es:

[tex]x = \frac{48\,m}{32\,l}[/tex]

[tex]x = \frac{3\,m}{2\,l}[/tex]

La proporción óptima es de 3 paletas de malvavisco por cada 2 bolsitas de lunetas. Entonces, el máximo número de recuerdos es:

[tex]y = \frac{32}{2}[/tex]

[tex]y = 16[/tex]

El máximo número de recuerdos es 16.

Complete 5-8 for 15 points.

Answers

-3 because 5- 8 is a negative integer

Tim has a 6-sided die that contains the
numbers 1-6 on each of its sides. Tim rolls
the die 48 times. About how many times
Would you expect Tim to roll a 3?​

Answers

The answer is 8.....

Solve 8.2ws 29.52. Which of the following must be true abo
OWS36
The arrow points left
The arrow points right
There is an open circle at 3.6.
There is a closed circle at 3.6.

Answers

Answer:

A B E

Step-by-step explanation:

A- w less-than-or-equal-to 3.6

B- The arrow points left.

E- There is a closed circle at 3.6.

Answer:

A B E

Step-by-step explanation:


Find the magnitude of a particle's acceleration vector at t = 0 for a particle moving with position vector [tex]r(t)-(cos(t),t^3)[/tex]

1
0
2
3

Thank you

Answers

Answer:

1

Step-by-step explanation:

r(t) = (cos t, t³)

Take first derivative to find velocity:

v(t) = dr/dt

v(t) = (-sin t, 3t²)

Take derivative again to find acceleration:

a(t) = dv/dt

a(t) = (-cos t, 6t)

At t=0, the acceleration's magnitude is:

a(0) = (-1, 0)

|a(0)| = √((-1)² + 0²)

|a(0)| = 1

Mindy deposits $250 into a savings account that pays simple interest. If the interest rate is 1.5%, what is her account balance at the end of a 2 years if she makes no withdrawals?

Answers

Answer:

Her account balance at the end of 2 years is $257.5.

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

[tex]E = P*I*t[/tex]

In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

After t years, the total amount of money is:

[tex]T = E + P[/tex]

In this question:

Deposit of $250, so [tex]P = 250[/tex]

Interest rate of 1.5%, so [tex]I = 0.015[/tex]

2 years, so [tex]t = 2[/tex]

Amount of interest earned:

[tex]E = P*I*t = 250*0.015*2 = 7.5[/tex]

Total amount:

[tex]T = E + P = 7.5 + 250 = 257.5[/tex]

Her account balance at the end of 2 years is $257.5.

Anyone understand how to do this?

Answers

Answer:

f ( x ) = - 2x^2 + 3x + 1

Step-by-step explanation:

If f (x ) extends to → − ∞, as x→ − ∞ , provided f(x) → − ∞, as x → +∞, we can rewrite this representation as such;

− ∞  < x < ∞, while y > − ∞

Now the simplest representation of this parabola is f ( x ) = - x^2, provided it is a down - facing parabola;

If we are considering a down - facing parabola, the degree of this trinomial we should create should be even, the LCM being negative. Knowing that we can consider this equation;

Solution; f ( x ) = - 2x^2 + 3x + 1, where the degree is 2, the LCM ⇒ - 2

When I visit my brother it is a 532 mile round trip. If I visit my brother once a month how many miles would I travel in a year round the miles to the nearest hundreds to estimate the answer

Answers

Answe12800 miles

Step-by-step explanation:a year is 12 months, and mile round trip means there and back. so 532x24 for the 24 trips that equals 12768. 12768 rounded to the nearest hundreds is 12800

Question 2 Please help. Find the arc length for the following:

Answers

9.4 would be your answer

Answer:

The answer is 9.4 units.

Which is the simplified form of m Superscript negative 8 p Superscript 0?
StartFraction 1 Over m Superscript 8 Baseline p EndFraction
StartFraction 1 Over m Superscript 8 EndFraction
StartFraction p over m Superscript 8 EndFraction
m Superscript 8

Answers

i think it is C

Step-by-step explanation:

Answer:

1 or D

Step-by-step explanation:

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