1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Fynjy0 [20]
3 years ago
8

The height of a cone is two times its base diameter. What is the volume of the cone in terms of its base radius r?

Mathematics
1 answer:
nydimaria [60]3 years ago
5 0

Volume of the cone = (1/3) pi r^2 h

h = 2r  so substituting for h:-

V = (1/3) pi r^2 * 2r

V = (2/3) pi r^3

You might be interested in
Nancy's Cupcakes recorded how many cupcakes it recently sold of each flavor.​
Alexeev081 [22]

Answer:

pumpkin because it got the most sold

7 0
2 years ago
Two problems here I need solved! I need every step, so please have that with your answers!!
Free_Kalibri [48]
QUESTION 1

We want to solve,

\frac{1}{(x-4)}+\frac{x}{(x-2)}=\frac{2}{x^{2}-6x+8}

We factor the denominator of the fraction on the right hand side to get,

\frac{1}{(x-4)}+\frac{x}{(x-2)}=\frac{2}{x^{2}-4x - 2x+8}.

This implies
\frac{1}{(x-4)}+\frac{x}{(x-2)}=\frac{2}{x(x-4) - 2(x - 4)}.

\frac{1}{(x-4)}+\frac{x}{(x-2)}=\frac{2}{(x-4)(x - 2)}

We multiply through by LCM of
(x-4)(x - 2)

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

We expand to get,

x - 2 + {x}^{2} - 4x= 2

We group like terms and equate everything to zero,

{x}^{2} + x - 4x - 2 - 2 = 0

We split the middle term,

{x}^{2} + - 3x - 4 = 0

We factor to get,

{x}^{2} + x - 4x- 4 = 0

x(x + 1) - 4(x + 1) = 0

(x + 1)(x - 4) = 0

x + 1 = 0 \: or \: x - 4 = 0

x = - 1 \: or \: x = 4

But
x = 4
is not in the domain of the given equation.

It is an extraneous solution.

\therefore \: x = - 1
is the only solution.

QUESTION 2

\sqrt{x+11} -x=-1

We add x to both sides,

\sqrt{x+11} =x-1

We square both sides,

x + 11 = (x - 1)^{2}

We expand to get,

x + 11 = {x}^{2} - 2x + 1

This implies,

{x}^{2} - 3x - 10 = 0

We solve this quadratic equation by factorization,

{x}^{2} - 5x + 2x - 10 = 0

x(x - 5) + 2(x - 5) = 0

(x + 2)(x - 5) = 0

x + 2 = 0 \: or \: x - 5 = 0

x = - 2 \: or \: x = 5

But
x = - 2
is an extraneous solution

\therefore \: x = 5
7 0
3 years ago
Mary had a 3-inch piece of ribbon. She cut it in half. How long were they new pieces
allochka39001 [22]

Answer:

1 and a half inches long

Because that 3 divided by 2 is 1.5.

7 0
3 years ago
Read 2 more answers
Jason wanted to buy postcards for his cousin. The price was 2 cards for $1. He had some change in his pocket. What combination o
Zina [86]

Answer:

2 dimes, 1 nickel and 3 quarters.

Step-by-step explanation:

The price of 2 postcards is $1. Any combination of coins that adds to $1 will work here. Remember, a penny is worth 0.01, a nickel is worth 0.05, a dime is worth 0.10, and a quarter is worth 0.25.

Adding 2 dimes, 1 nickel, and 3 quarters would be 2(0.10)+1(0.05)+3(0.25)=1.


8 0
3 years ago
Researchers would like to test if the mean bone mineral density is different for the three different groups. Conduct an ANOVA te
laiz [17]

Answer:

<em>H</em>₀: <em>μ₁ = μ₂= μ₃</em>

<em>Hₐ: </em>At least one of the means is different.

Step-by-step explanation:

Analysis of variance or ANOVA test is used to determine whether the means of different groups are similar or not.

The hypothesis of an ANOVA test for <em>n</em> homogeneous groups is:

H_{0}: \mu_{1}= \mu_{2}= \mu_{3}...= \mu_{n}\\H_{a}: At\ least\ one\ of\ the\ means\ is\ different

In this case the researcher is testing whether the mean bone mineral density is different for the three different groups.

The hypothesis for this test can be defined as follows:

<em>H</em>₀: The mean bone mineral density is not different for the three different groups, i.e. <em>μ₁ = μ₂= μ₃</em>

<em>Hₐ: </em>The mean bone mineral density is different for the three different groups, i.e. at least one of the means is different.

3 0
3 years ago
Other questions:
  • Subtract.<br><br> 14x-(6+7x)<br><br> (Simplify answer)
    14·2 answers
  • A cube has an edge length of 7 inches. You multiply the side lengths by 5. How many times greater is the volume of the new cube?
    5·1 answer
  • Solve the equation 4*e+2=1 (mod5)
    9·1 answer
  • Express the polynomial 7x^3 - 10x^3 + x in standard form.
    13·2 answers
  • The PE class has 12 boys and 8 girls. What is the maximum number of teams that the teacher can divide the class into so that eac
    9·2 answers
  • I need help again please What number represents the same amount as 6 hundreds + 6 tens + 14 ones
    10·2 answers
  • What’s the correct answer for this question?
    8·1 answer
  • A cone has a diameter of 6 inches and a height of 6 inches. Find the volume of the cone to the nearest tenth. Use 3.14 for pi.
    6·2 answers
  • What are the letters in the English alphabet that has reflection symmetry and what has rotation symmetry and which has reflectio
    12·2 answers
  • 5,000,000 + 800,000 + 50,000 + 300<br> In standard form
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!