Find the volume of this cone.
Round to the nearest tenth.
10ft
6ft

Find The Volume Of This Cone.Round To The Nearest Tenth.10ft6ft

Answers

Answer 1

Answer:

301.6 ft³

Step-by-step explanation:

Volume of the cone = ⅓*πr²h

Where,

radius (r) = 6 ft

height (h) = √(10² - 6²) => Pythagorean theorem

h = √(100 - 36)

h = √64

h = 8 ft

Plug in the values

Volume = ⅓*π*6²*8

Volume = 301.6 ft³ (nearest tenth)


Related Questions

which equation is correctly rewritten to solve for x?

Answers

i think it’s lxwxh i’m not sure sorry if it didn’t help
explanation

HELP ASAP I WILL GIVE BRAINLIST

A = {1, 3, 4, 5, 7, 9}
B = {1, 2, 4, 6, 8, 10}

List the outcomes of A ∪ B? What does this represent?

List the outcomes of A ∪ B? What does this represent?

Answers

Answer:

A U B={1,2,3,4,5,6,7,8,9,10} represents A union B

(includes all the members of set Sand the members of set Bout together, do not repeat anyone that comes twice)

A n B={1,4} represents A interception B( this refers to the members that sets A and B have in common)

Answer:

A ∪ B = { 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 }

Step-by-step explanation:

A = { 1 , 3 , 4 , 5 , 7 , 9 }

B = { 1 , 2 , 4 , 6 , 8 , 10 }

A ∪ B = { 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 }

           It represents the whole numbers between 0 and 11

          [ A ∪ B is the elements of both A and B , without any repetition ]    

A ∩ B = { 1 , 4 }

            It represents the common numbers in both A and B

Suppose that each student at a university has one of 4 expected graduation years and one of 21 majors. How many students must be enrolled to guarantee 2 graduations in the same year and major?

Answers

Answer:

The correct answer is "168 students".

Step-by-step explanation:

According to the question,

Graduation probability,

[tex]P_g=\frac{1}{4}[/tex]

Major probability,

[tex]P_m=\frac{1}{21}[/tex]

Now,

The probability of having both graduation as well as major will be:

= [tex]\frac{1}{4}\times \frac{1}{21}[/tex]

= [tex]\frac{1}{84}[/tex]

hence,

The number of students having guarantee two graduations throughout the same year and major will be:

⇒ [tex]\frac{x}{84}=2[/tex]

By applying cross-multiplication, we get

⇒ [tex]x = 84\times 2[/tex]

⇒    [tex]=168[/tex]


If point (x, y) is rotated 90 degrees about the origin, the resulting point is (-y, -x).
True or false?

Answers

Answer:

False

Step-by-step explanation:

Take the point (2, 3)  = (x, y)

Rotated 90º clockwise (3, -2) = (y, -x)

Rotated 90º counter clockwise (-3, 2) = (-y, x)

Neither rotation becomes (-3, -2)

Which statement describes the sequence defined by a Subscript n Baseline = StartFraction n cubed minus n Over n squared + 5 n EndFraction?

Answers

Answer:

The answer is " The sequence converges to infinity. "

Step-by-step explanation:

Given:

[tex]\to a_n=\frac{n^3-n}{n^2+5n}[/tex]

[tex]\lim_{n \to \infty} a_n= \lim_{n \to \infty} \frac{n^3-n}{n^2+5n}[/tex]

                   [tex]= \lim_{n \to \infty} \frac{n(n^2-1)}{n(n+5)}\\\\= \lim_{n \to \infty} \frac{(n^2-1)}{(n+5)}\\\\= \lim_{n \to \infty} \frac{n(n-\frac{1}{n})}{n(1+\frac{5}{n})}\\\\= \lim_{n \to \infty} \frac{(n-\frac{1}{n})}{(1+\frac{5}{n})}\\\\[/tex]

Denominator[tex]= \lim_{n \to \infty} 1+\frac{5}{n}=1+\lim_{n\to \infty} \frac{5}{n}=1+0=1[/tex]

Numerator [tex]=\lim_{n\to \infty}n-\frac{1}{n}=\infty[/tex]

[tex]\therefore\\\\\lim_{n\to \infty}a_n=\frac{\infty}{1} =\infty[/tex]

The points P and Q have coordinates (-1, 6) and (9, 0) respectively.
The line l is perpendicular to PQ and passes through the mid-point of PQ.
Find an equation for l, giving your answer in the form ax + by + c =0, where a, b and c are integers.

Answers

Answer:

[tex]3y - 5x +11=0[/tex]

Step-by-step explanation:

Given

[tex]P(x_1,y_1) = (-1,6)[/tex]

[tex]Q(x_2,y_2) = (9,0)[/tex]

Required

The equation of l

First, calculate the slope (m) of PQ

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{0-6}{9--1}[/tex]

[tex]m = \frac{-6}{10}[/tex]

[tex]m = \frac{-3}{5}[/tex]

Since l is perpendicular to PQ, the slope of l is:

[tex]m_2 = -\frac{1}{m}[/tex]

[tex]m_2= -\frac{1}{-3/5}[/tex]

[tex]m_2 = \frac{5}{3}[/tex]

Next, calculate the midpoint of PQ

[tex]M = \frac{1}{2}(x_1 + x_2,y_1+y_2)[/tex]

[tex]M = \frac{1}{2}(-1+9,6+0)[/tex]

[tex]M = \frac{1}{2}(8,6)[/tex]

[tex]M = (4,3)[/tex]

The equation of l is:

[tex]y = m(x -x_1) + y_1[/tex]

[tex]y = \frac{5}{3}(x -4) +3[/tex]

Multiply through by 3

[tex]3y = 5(x -4) +9[/tex]

Open bracket

[tex]3y = 5x -20 +9[/tex]

[tex]3y = 5x -11[/tex]

Rewrite as:

[tex]3y - 5x +11=0[/tex]

Which of the following best describes the equation below? y = x + 8 OA. function only B. both a relation and a function Oc. neither a relation nor a function OD. relation only?​

Answers

9514 1404 393

Answer:

  B. both a relation and a function

Step-by-step explanation:

Every linear equation with defined slope is both a relation and a function.

__

Only a vertical line of the form x=constant is linear equation that is a relation, but not a function.

Q. A board that measures feet long is cut into 6 equal pieces. What is the length of each piece?
A. 1} inches
B. 3 inches
C. 3 inches
D. 9 inches

Answers

QUESTION :- . A board that measures feet long is cut into 6 equal pieces. What is the length of each piece?

A. 1 inches

B. 3 inches

C. 2 inches

D. 9 inches

ANSWER:- 1 FEET -->12 INCH

ATQ ->

1 FEET IS divided into 6 parts so

1 feet = 12 inches

[tex] \frac{1}{6} feet = \frac{12}{6} inches \\ \frac{1}{6} feet = 2 inches [/tex]

so each part will be equal to 2 inches

1 ft = 12 in

12 inch can be devided into 6 equal parts resulting in 2 inches each.

I guess you mistyped either B or C..

hope it helps

kind regards

Alex

Consider a fishery in which harvesting is taking placeat a constant rateh. The population at the fisherywill be modeled by

dP/dt = kP- h

Required:
Find the general solution to this DE.

Answers

Answer:

The general solution to this differential equation is [tex]P(t) = \frac{Ke^{kt} + h}{k}[/tex]

Step-by-step explanation:

We are given the following differential equation:

[tex]\frac{dP}{dt} = kP - h[/tex]

Solving by separation of variables:

[tex]\frac{dP}{kP-h} = dt[/tex]

Integrating both sides:

[tex]\int \frac{dP}{kP-h} = \int dt[/tex]

On the left side, by substitution, u = kP - h, du = kDp, Dp = du/k. Then

[tex]\frac{1}{k} \ln{kP-h} = t + K[/tex]

In which K is the constant of integration.

[tex]\ln{kP-h} = kt + K[/tex]

[tex]e^{\ln{kP-h}} = e^{kt + K}[/tex]

[tex]kP - h = Ke^{kt}[/tex]

[tex]kP = Ke^{kt} + h[/tex]

[tex]P(t) = \frac{Ke^{kt} + h}{k}[/tex]

The general solution to this differential equation is [tex]P(t) = \frac{Ke^{kt} + h}{k}[/tex]

PLEASE HELP ASAP!!! What is the range of the function shown on the graph?
(The graph is below)

Answers

Answer:

-6 < y < ∞

Step-by-step explanation:

The range is the values that y can take

y goes from  almost -6 to infinity ( there is an asymptote at -6)

-6 < y < ∞

Exhibit 11-10 n = 81 s2 = 625 H0: σ2 = 500 Ha: σ2 ≠ 500 At 95% confidence, the null hypothesis _____. a. should not be rejected b. should be revised c. should be rejected d. None of these answers are correct

Answers

Answer:

Option C

Step-by-step explanation:

n = 81  

s2 = 625  

H0: σ2 = 500  

Ha: σ2 ≠ 500  

Test Statistics X^2 = (n-1)s^2/ σ2 = (81-1)*625/500

X^2 = 100

P value = 0.0646 for degree of freedom = 81-1 = 80

And X^2 = 100

At 95% confidence interval  

Alpha = 0.05 , p value = 0.0646  

p < alpha, we will reject the null hypothesis

At 95% confidence, the null hypothesis

50 + x + 10 + 8x + 2x =650​
what is the value of x?

Answers

Answer:

x = 590/11

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify

50 + x + 10 + 8x + 2x = 650

Step 2: Solve for x

[Addition] Combine like terms:                                                                        11x + 60 = 650[Subtraction Property of Equality] Subtract 60 on both sides:                      11x = 590[Division Property of Equality] Divide both sides by 11:                                  x = 590/11

Answer:

x= 590/11

Step-by-step explanation:

Fyi you can use the app photo math you just take a pic of the problem and it gives you the answer and explains the steps and it is free.

if the volume of a Sphere is 36 pie cm³. then find its radius
I will give brainliest ​

Answers

Answer: r = 3

Step-by-step explanation:

V=(4/3)πr^3 (this is the formula to identify a volume of the sphere. Since we know that V = 36π, add it into the following formula like so:

36π = (4/3)πr^3; from here we can cancel out the π

36 = (4/3)r^3; multiply both sides by 3/4

27 = r^3;

the final answer is r = 3.

What proportion of families own as opposed to rent their home? To find out, an urban planner selected a random
sample of 400 families in a large city to participate in a survey about homeownership. Of the 362 families that
responded to the survey, 42% reported that they own their home. Which of the following statements about the
survey results is true?
O A suitable estimate of all families who own their home is 42%.
The survey suffers from voluntary response bias and may not accurately represent the population.
O Only 362 responses cannot provide a suitable estimate of families who own their home.
O The survey suffers from undercoverage and may not provide a suitable estimate of homeownership.
Mark this and return
Save and Exit
fyext
Submit

Answers

Answer:

A suitable estimate of all families who own their home is 42%.

Step-by-step explanation:

42% reported that they own their home.

This means that the sample proportion is of 42%. So that an estimate for the percentage of all families who own their home is of 42%., and that the first option is correct.

Answer:

The correct answer is: The survey suffers from undercoverage and may not provide a suitable estimate of homeownership.

Step-by-step explanation:

I just took the review test. The person above me is wrong

Determine whether carpeted rooms have more bacteria than uncarpeted rooms at the level of significance. Normal probability plots indicate that the data are approximately normal and boxplots indicate that there are no outliers.

Carpeted Un-Carpeted
15.9 8.1 15 7.2 10.4 6.1
11.2 16 11.2 6.8 11.3 6.8
8.6 10 12.1 6.3

Requried:
State the null and alternative hypotheses. Let population 1 be carpeted rooms and population 2 be uncarpeted rooms.

Answers

Answer:

The null (H[tex]_{0}[/tex]) and alternative (H[tex]_{1}[/tex]) hypotheses can be stated as follows:

H[tex]_{0}[/tex]:  μ[tex]_{1}[/tex] = μ[tex]_{2}[/tex].

H[tex]_{1}[/tex]: μ[tex]_{1}[/tex] > μ[tex]_{2}[/tex].

Step-by-step explanation:

In the question, the given assertion is that carpeted rooms have more bacteria than uncarpeted rooms, i.e. μ[tex]_{1}[/tex] > μ[tex]_{2}[/tex].

The assertion made in the question can either be the null hypothesis (H[tex]_{0}[/tex]) or the alternate hypothesis (H[tex]_{1}[/tex]). An equality must be present in the null hypothesis. The alternative hypothesis expresses the exact opposite of the null hypothesis if the claim is the null hypothesis.

Therefore, the null (H[tex]_{0}[/tex]) and alternative (H[tex]_{1}[/tex]) hypotheses can be stated as follows:

H[tex]_{0}[/tex]:  μ[tex]_{1}[/tex] = μ[tex]_{2}[/tex].

H[tex]_{1}[/tex]: μ[tex]_{1}[/tex] > μ[tex]_{2}[/tex].

Find the time required for an investment of 7,000 dollars to grow to 14,000 dollars at an interest rate of 4% per
year, compounded monthly. Give your answer accurate to 2 decimal places.
Preview
years.

Answers

Answer:

The time required is of 17.53 years.

Step-by-step explanation:

Compound interest:

The compound interest formula is given by:

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

Find the time required for an investment of 7,000 dollars to grow to 14,000 dollars at an interest rate of 4% per year, compounded monthly.

This is t for which [tex]A(t) = 14000[/tex], considering [tex]P = 7000, r = 0.04, n = 12[/tex]. So

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

[tex]14000 = 7000(1 + \frac{0.04}{12})^{12t}[/tex]

[tex](1.0033)^{12t} = 2[/tex]

[tex]\log{(1.0033)^{12t}} = \log{2}[/tex]

[tex]12t\log{1.0033} = \log{2}[/tex]

[tex]t = \frac{\log{2}}{12\log{1.0033}}[/tex]

[tex]t = 17.53[/tex]

The time required is of 17.53 years.

I need a math genius please

!!WILL MARK BRAINLIEST!! PLEASE SOMEONE HELP!! IM TRYING TO PREPARE FOR MATH CAMP AND THEY GAVE US THIS PROBLEM AND I CANT FIND ANYTHING LIKE IT!!

Answers

Answer:

How long is the [shirt] in the air? 3 seconds

How many seconds after launching is the t-shirt at 17 feet? 0.25 seconds

Step-by-step explanation:

Formula to represent the shirt's flight path (given): [tex]h=-16t^2+vt+c[/tex], where [tex]h[/tex] is the height of the shirt, [tex]v[/tex] is the initial velocity of the shirt, [tex]c[/tex] is the shirt's starting height, and [tex]t[/tex] is elapsed time since launch.

The function forms a parabola concave down. Since the shirt is caught at 17 feet, we want to second x-coordinate of a point with a y-coordinate of 17 that the function passes through. This is because the shirt was caught going down, not up.

Therefore, let [tex]h=17[/tex]:

[tex]17=-16t^2+52t+5,\\\\-16t^2+52t-12=0,\\\\ y= \frac{-52\pm\sqrt{52^2-4(-16)(-12)}}{2(-16)},\\\\y=\frac{1}{4},\boxed{y=3}[/tex].

The second x-coordinate is the larger of the two and therefore the shirt was in the air for 3 seconds.

However, the first time the shirt reaches a height of 17 feet is on its way up, which occurs at 1/4 or 0.25 seconds (the first x-coordinate). Therefore, the t-shirt reached a height of 17 feet 0.25 seconds after launching.

for what value of x does 4x=(1/8)^x+6?
Answer please help
A. -15
B. -3
C. 3
D. 15

Answers

Im sorry but what I got was x=1.5 I don't know if this helps or not.

Two angles are complementary. One angle measures 60 degrees. What is the measure of the other angle?
I'm not sure if its A.

Answers

Answer:

30

Step-by-step explanation:

Complementary angles add to 90

x+60 = 90

x+60-60 = 90-60

x = 30

Answer: A

Step-by-step explanation:

Complementary angles sum up to 90 degrees. Thus, we can write that:

90=angle1+angle2

90-angle1=angle2

90-60=angle2

angle2=30

Alec bakes spherical rolls of bread. Each roll is about 8cm
wide. What is the approximate volume of each roll? Use
3.14 to approximate a.

Answers

Answer:

Step-by-step explanation:

2143.57

What is the domain of the square root function graphed below?

Answers

Answer:

Set the expression inside the square root greater than or equal to zero. We do this because only nonnegative numbers have a real square root, in other words, we can not take the square root of a negative number and get a real number, which means we have to use numbers that are greater than or equal to zero.

Step 2: Solve the equation found in step 1. Remember that when you are solving equations involving inequalities, if you multiply or divide by a negative number, you must reverse the direction of the inequality symbol.

Step 3: Write the answer using interval notation.

please help meeeee!!​

Answers

Step-by-step explanation:

[tex]\begin{aligned} -5x+4y &= 3\\\\ x&=2y-15 \end{aligned}[/tex]

Solve the following system of equations and show all work. y = 2x2-3 y = 7x + 1 (10 points)​

Answers

Answer:

x = -1/2 , y = -5/2

x = 4, y = 29

Step-by-step explanation:

y = 2x² - 3

y = 7x + 1

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

set equal

2x² - 3 = 7x + 1

Subtract 7x + 1 from both sides

2x² - 7x - 4 = 0

Factor

(2x + 1)(x - 4) = 0

x = {-1/2, 4}

For x = -1/2

y = 7(-1/2) + 1

y = -5/2

(-1/2 , -5/2)

For x = 4

y = 7(4) + 1

y = 29

(4, 29)

what is the area of a rectangular driveway measuring 20 feet long and 15 feet wide?

Answers

Answer:

300 square feet

Step-by-step explanation:

Area is found by multiplying the length and width of a surface

3.42x16.5 show your work plz

Answers

Answer:

= 56.43

Step-by-step explanation:

= 3.42 × 16.5

multiply the numbers

= 56.43

3.42 • 16.5 = 56.43
Explanation:
There’s an imaga attached showing the steps through ling multiplication. My handwriting is bad and these steps came from the web. Either way it is still correct.
Hope this absolutely helps!

the temperature at 6 pm in frost frozen antarctica was -37 if the tem dropped 8 1 /2 c uring the next hour what was the the temp at 7 pm

Answers

Answer:

-45 1/2

Step-by-step explanation:

what type of data states that every value in the set is a number​

Answers

Answer:

QUALITATIVE DATA-type of data states that every value in the set is a number.

Step-by-step explanation:

QUALITATIVE DATA-type of data states that every value in the set is a number.

Answer:

QUALITATIVE DATA-type of data states that every value in the set is a number.

As preparation for designing a new line of business wear, a clothing manufacturer asked a large sample of department store customers, "What is your favorite
color of dress shirt?" The ple chart below summarizes their responses.
(a) Which color was chosen by approximately one fourth of
the customers?

Answers

Answer:

white

Step-by-step explanation:

if you cut the shape in half both ways it makes white take up a fourth.

A small town experienced explosive population increase. Originally the town had population 170. Within 3 years, the town's population increased by 400%. What's the town's current population

Answers

Answer:

850

Step-by-step explanation:

Given that :

Initial population = 170

Percentage rise in population within 3 years = 400%

Hence, the current population of the town will be ;

Current population = Initial population * (1 + rate)

Current population = 170(1 + 400%)

Current population = 170(1 + 4)

Current population = 170(5)

Current population = 850

You put $600 in a savings account. The account earns 6% simple interest per year.

a. What is the interest earned after 10 years?
b. What is the balance after 10 years?

Answers

A I believe hope this helps
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