An oblique cone has a height equal to the diameter of the base. The volume of the cone is equal to 18π cubic units.

An oblique cone has a diameter of 2 x and a height of 2 x. The volume of the cone is 18 pi cubic units.

What is the radius of the cone?

Answers

Answer 1

Answer:

3

Step-by-step explanation:

plug in the values in the formula of volume of cone

18pi=pi(x^2)(2x)(1/3)

then solve for x

multiply both sides by 3 : 54pi = pi(x^2)(2x)

divide pi from both sides : 54 = (x^2)(2x)

divide 2 from both sides : 27 = x^3

cube root of both sides : 3 = x

Answer 2

Answer: 3

Step-by-step explanation:

edg 2020


Related Questions

I need help with solving this problem 4x-c=k

Answers

Answer:

x=1/4c+1/4k

Step-by-step explanation:

4x-c=k

move c over

4x=c+k

then divide by 4

x=1/4c+1/4k

hope this helps

Which graph below shows the solutions for the linear inequality ys x-3?
А
B
с
D
O A. Graph
O B. Graph B
O C. Graph D

Answers

Answer:

Graph A.

Step-by-step explanation:

Given the inequality: [tex]y\leq \dfrac{1}{4}x-3[/tex]

Since the sign is "less than or equal to", the line cannot be dotted. Therefore, Options C and D are incorrect.

Since the sign is a "less than" sign, the required region must be below the line. Therefore, the graph which shows the given inequality is Graph A.

Explain please --

Find the measure of angle A to the nearest degree.

a. 26
b. 27
c. 63

Answers

Answer: C.  63 degrees

Explanation:

We'll use the tangent ratio to connect the opposite and adjacent sides with the reference angle

tan(angle) = opposite/adjacent

tan(A) = 14/7

Then use the arctangent function (aka inverse tangent) to fully isolate A

A = arctan(14/7)

A = 63.4349 degrees approximately; make sure your calculator is in degree mode

Round this to the nearest whole number to get 63.

the product of two rational number is -10/9. If one of the number is -5/27 ,find the other.

Answers

Answer:

Step-by-step explanation:

Let the unknown number = x

[tex]x *\frac{-5}{27}=\frac{-10}{9}[/tex]

x = [tex]\frac{-10}{9}[/tex] ÷ [tex]\frac{-5}{27}[/tex]

[tex]x=\frac{-10}{9}*\frac{-27}{5}\\\\\\x=-2* - 3\\x = 6[/tex]

What is the equation of the circle shown below?

Answers

Answer:

( x+2)^2 + ( y+2) ^2 = 9

Step-by-step explanation:

The center is at (-2,-2)

The radius is 3  which is the number of units from the center to the circles edge

The equation of a circle can be written as

( x-h) ^2 + (y-k) ^2 = r^2  where ( h,k) is the center and r is the radius

( x--2) ^2 + (y--2) ^2 = 3^2

( x+2)^2 + ( y+2) ^2 = 9

(Affgfbwg I’m struggling) Find the value of x in the isosceles triangle shown below

Answers

Answer:

B

Step-by-step explanation:

The line from the vertex to the base is a perpendicular bisector and divides the isosceles triangle into 2 right triangles with hypotenuse x

Using Pythagoras' identity in either of the 2 right triangles, then

x² = 12² + 5² = 144 + 25 = 169 ( take the square root of both sides )

x = [tex]\sqrt{169}[/tex] = 13 → B

a system of linear equations is given by the tables. One of the tables is represented by the equation y= -1/3x + 7

the equation that represents the other equation y= x +

the solution of the system is ( , )​

Answers

Answer:

Other equation: y = 1/3x + 5

Solution: (3, 6)

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

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

Step 1: Identify tables

1st table is the unknown equation

2nd table is the known equation (found using y-intercept 7)

Step 2: Find missing equation

m = (6 - 5)/(3 - 0)

m = 1/3

y = 1/3x + b

5 = 1/3(0) + b

5 = b

y = 1/3x + 5

Step 3: Find solution set using substitution

1/3x + 5 = -1/3x + 7

2/3x + 5 = 7

2/3x = 2

x = 3

y = 1/3(3) + 5

y = 1 + 5

y = 6

What is the best first step to solve this equation 8x =25 ?

Answers

Hey there!

"8x = 25"

In order for you to solve for "x-value" (or the equation) we have to DIVIDE both of your sides by 8

8x/8 = 25/8

Cancel out: 8x/8 because that gives you the value of 1 and you don't need it at the moment (in that equation that is)

Keep: 25/8 Because it solves for your equation

Your x equals: 25/8 aka 1 1/8 aka 3.125 (you could choose any one of these as your answer because they are all correct)

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

The diameter of a circle is 3.5 inches. What is the circumference of the circle?

Answers

Answer:

About 11 (10.9955742876...)

Step-by-step explanation:

Circumference=(pi) (diameter) or C=πd

Hope this helps!

The circumference of the circle is about 11 inches.

We are given that the diameter of a circle is 3.5 inches.

Noted that the circumference of the circle that has a radius of r is defined as the product of diameter to the pie value.

Therefore circumference of the circle = 2πr

Circumference=(2πr)

The diameter or C = πd

diameter = 3.5 inches

Circumference=(3.5 x 3.14)

Circumference = (10.99) inches

Learn more about circumference here;

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Drag each figure to show what fraction of the whole is shaded .

Answers

Answer:

1)3/4 (other) 2)2/3   3)2/3   4)1/3(other) 5)1/4

Step-by-step explanation:

the reason all the ones that say other are other is because they dont fit into the 3/4 section or 1/4. we can figure out the answers by counting up the total amount of squares/triangles and then the shaded ones, and then putting them over each other, shaded amount on top, and then simplifying. or, if you can tell by seeing that there are only 3 boxes and one shaded for example, you can simply tell its 1/3 because its already laid out for you. hope this helped

A line has slope 2/3 and y intercept -2. Which answer is the equation of the line?

Answers

Answer:

y=2/3x-2

Step-by-step explanation:

All of the given options are in slope intercept form.

Slope intercept form is y=mx+b

This is where m is the slope fo the line and b is the y intercept

That said, we can simply plug the given values into the form.

y=(2/3)x+(-2)

Simplify

y=2/3x-2

Answer:

A. y= 2/3x-2

Step-by-step explanation:

The slope of a line is written in slope-intercept form, which is:

y= mx+b

where m is the slope and b is the y-intercept.

The line has a slope of 2/3 and a y-intercept of -2. Therefore,

m= 2/3

b= -2

Substitute these values into the slope intercept form.

y= mx+b

y=2/3x+(-2)

Adding a negative number (+-) can be simplified to just a negative(-)

y= 2/3x-2

Therefore, the equation of the line is A. y= 2/3x-2

This is the last one but how do you find y ? what do I subtract 5 from ?

Answers

Answer:

y = 250

Step 1:

To solve, we plug in 50x for y.

[tex]50x=200+10x[/tex]

Then, we subtract the 10x from the right side. Our goal is to get the x by itself first.

[tex]40x=200[/tex]

Then, we divide both sides by 40, since we have to get the x by itself.

[tex]\frac{40x}{40}=x\\\\\frac{200}{40} =5[/tex]

x = 5

Step 2:

Now that we found x, we plug in 5 to the original equation and solve from there.

[tex]y=200+10(5)\\y=200+50\\y=250[/tex]

y = 250

Candy draws a square design with a side length of x inches for the window at the pet shop. She takes the design to the printer and asks for a sign that has an area of 16x2 – 40x + 25 square inches.

Answers

Answer:

[tex]\sqrt{16}[/tex] = 4

[tex]\sqrt{25}[/tex] = 5

16x^2 - 40x + 25

= (4x - 5)^2

Hope this helps!

Answer:

4x-5, B

Step-by-step explanation:

EDGE 2020

Jose's garden measures 33 feet by 39 feet. He wants to cover his garden with fertilizer to help the plants grow. How many square feet of fertilizer would he need for his garden? a.) 257.4 ft ^2 b.) 1287 ft ^2 c.) 144 ft ^2 d.) 72 ft ^2

Answers

Answer:

B

Step-by-step explanation:

To calculate the square feet of fertilizer he would be needing to cover his garden, what we need to do is simply find the area of the garden

Mathematically that would be the length of the garden multiplied by its width since it is a rectangular sharped garden

The area is thus;

33 * 39 = 1287 ft^2

Place
Is a city is in North America
India
Tokyo
Houston

Peru
New York
Tijuana


Canada

Let event A = The place is a city.
Let event B = The place is in North America.
What is P(A and B)?

Answers

Answer:

[tex]P(A\ and\ B) = \frac{3}{7}[/tex]

Step-by-step explanation:

Your question is not well presented; (See Attachment for complete details)

Required

Find P(A n B)

where

A = Event that the place is a city

B = Event that the place is in North

The first step is to get the sample space;

Let S represent the sample space;

[tex]S = \{India,\ Tokyo,\ Houston,\ Peru,\ New York,\ Tijuana,\ Canada \}[/tex]

[tex]n(S) = 7[/tex]

The next is to list events A and B

A = City

[tex]A = \{Tokyo,\ Houston,\ New York,\ Tijuana\}[/tex]

B = North America

[tex]B = \{Houston,\ New York,\ Tijuana,\ Canada\}[/tex]

The next is to list common elements in A and B

[tex]A\ n\ B = \{Houston,\ New York,\ Tijuana\}[/tex]

[tex]n(A\ and\ B) = 3[/tex]

The probability of A and B is calculated as follows;

[tex]P(A\ and\ B) = \frac{n(A\ and\ B)}{n(S)}[/tex]

Substitute [tex]n(A\ and\ B) = 3[/tex] and [tex]n(S) = 7[/tex] in the expression above

[tex]P(A\ and\ B) = \frac{3}{7}[/tex]


Please help quicklyyyy!
Cora is two years older than three times Eli's age. Their ages add up to 98. Find their ages

Answers

Answer: Eli’s age is 24 years and Cora’s age is 74 years

Step-by-step explanation:

To find Eli’s age and Cora’s age, use the following condition.

Eli’s age is represented by term ‘x’

Cora’s age is represented by term ‘3x + 2’

x + 3x + 2 = 98

Add x and 3x

4x + 2 = 98

Subtract 2 from both sides

4x = 96

Divide by 4 on both sides

x = 24

Therefore Eli’s age is 24 years

To find Cora’s age, plug in 24 for x

3(24) + 2 = 72 + 2 = 74

Answer:

Cora is 74 years old

Eli is 24 years old

Step-by-step explanation:

Cora’s age = x

Eli’s age = y

x = 3y + 2

x + y = 98

x = 98 - y

98 - y = 3y + 2

98 - 2 = 3y + y

96 = 4y

24 = y

x + 24 = 98

x = 98 - 24

x = 74

If it takes 8 hours to drive 435 miles, how many
hours would you expect it would take to drive 650
miles if you travel at the same rate? (Round to
hundredths.)

Answers

Answer:

11.95

Step-by-step explanation:

435 divided by 8 is 54.375

650 divided by 54.375 is 11.95 (Rounded)

Answer:  11.95 hours

Step-by-step explanation:

[tex]\dfrac{435\ miles}{8\ hrs}=\dfrac{650\ miles}{x}\\\\\\435x=8(650)\\\\\\x=\dfrac{8(650)}{435}\\\\\\x=\large\boxed{11.95}[/tex]

anyone plss heeelp me...​i only need answer 6c..

Answers

Answer:

6c1;   [tex]Area = 81.12m^2[/tex]

6cii:  See Explanation

Step-by-step explanation:

Given

[tex]A = 3p^2[/tex]

[tex]0 \leq p \leq 6[/tex]

Where A represents Area and P represents Width

Required

Solve 6c

Please note that because you only need 6c, I'll solve using calculations;

Solving 6ci:

Area of the cage, when width is 5.2m

Substitute 5.2m for p in[tex]A = 3p^2[/tex]

[tex]A = 3 * 5.2m^2[/tex]

[tex]A = 3 * 27.04m^2[/tex]

[tex]A = 81.12m^2[/tex]

Hence, the area of the cage is 81.12m²

Solving 6cii:

Area of the cage, when width is 40m

From the range of value of p:   [tex]0 \leq p \leq 6[/tex], 40m is out of range of the values of p

However, if the range is extended; the value of Area is as follows;

Substitute 40m for p

[tex]A = 3 * 40m^2[/tex]

[tex]A = 3 * 1600m^2[/tex]

[tex]A = 4,800m^2[/tex]

Rachel used 2/3 of a string to tie some books together. She used 1/3 of the remaining string for his art project. She had 30cm of the string left. What was the orignal length of string. Express your ans in meter.

Answers

Answer:

1.35 meters

Step-by-step explanation:

Let the original length of the string be x.

So, we started out with x centimeters. Rachel used 2/3 of it (the original amount) to tie some books together. Therefore, we now have:

[tex]x-\frac{2}{3}x[/tex]

centimeters of string left. This represents the original minus the amount she used.

Next, she used 1/3 of the remaining string. In other words:

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

The newly added terms is 1/3 of the remaining string length.

And she ends up with 30 centimeters. Therefore, we need to solve the equation for x:

[tex]x-\frac{2}{3}x-\frac{1}{3}(x-\frac{2}{3} x) =30\\\frac{1}{3}x-\frac{1}{3}x+\frac{2}{9}x=30\\\frac{2}{9}x=30\\ x=30\cdot \frac{9}{2}=135 \text{ centimeters}[/tex]

Therefore, the original length of the string was 135 centimeters or 1.35 meters (move the decimal two places to the left).

Answer:

135 cm or 1.35 m

Step-by-step explanation:

2/3(135) = 90

1/3(90) = 30


[tex](5mn^3)^{3} [/tex]

Answers

Answer:

[tex]125m {}^{3}n {}^{6} [/tex]

Step-by-step explanation:

Since

[tex]a {}^{b} \times a {}^{c} = a {}^{b + c} [/tex]

[tex](5mn {}^{3} ) {}^{3} = (5) {}^{3}(m) {}^{3} (n {}^{3}) {}^{3} = 125m {}^{3}n {}^{3 + 3} = 125m {}^{3}n {}^{6} [/tex]

Hope this helps :) ❤❤❤

Answer:

[tex]125m^3n^9[/tex]

Step-by-step explanation:

[tex](a*b)^n=a^nb^n\\\\(5mn^3)^3=5^3m^3(n^3)^3\\\\125m^3(n^3)^3\\\\(a^b)^c=a^{bc}\\\\\rightarrow (n^3)^3=n^{3*3}=n^9\\\\\boxed{125m^3n^9}[/tex]

Brainilest Appreciated.

What is the exact solution to the system of equations shown on the graph? A.) (-1 3/5, 4 1/5) / [tex]\left(-1\:\frac{3}{5},4\:\frac{1}{5}\right)[/tex] B.) (-1 1/5, 4 3/5) / [tex]\left(-1\:\frac{1}{5},4\:\frac{3}{5}\right)[/tex] C.) (-1 5/6, 6 2/3) / [tex]\left(-1\:\frac{5}{6},6\:\frac{2}{3}\right)[/tex] D.) (-1 1/5, 4 5/6) / [tex]\left(-1\:\frac{1}{5},\:4\frac{5}{6}\right)[/tex]

Answers

The answer is B.) (-1 1/5, 4 3/5)  /  [tex]\left(-1\:\frac{1}{5},\:4\frac{3}{5}\right)[/tex]

Find the solution of the system of equations shown on the graph.
Please and thank you :)

Answers

Answer:

Hey there!

The solution is where the lines intersect, and here we see that would be (-4,3)

Hope this helps :)

which equation represents the slope-intercept form of the line below?

Answers

Answer:

c y= 1/2x-8

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The slope is either 1/2 or 8. Because the line is not incredibly steep, it must be 1/2.

The y-intercept is where the line crosses the y axis. In this case, it's 8.

Therefore the equation must be y=1/2x+8.

The answer is B.

Randi earned a profit of $60.00 on her last snow shoveling and
salting job. Write an equation that can be solved to find how
many hours Randi spent shoveling and salting to earn a profit of
$60.00.
Write your answer in the form of an algebraic equation using the
math editor. You do not have to solve the equation, but you will
need to use your equation to complete the next test question.

Answers

Answer:

$60.00=Y× X

Step-by-step explanation:

You know she makes $60 but you need to figure out how many hours she works and how much an hour she makes working.

What is the simplified form of the equation fraction 4 over 5 n minus fraction 1 over 5 equals fraction 2 over 5 n?

n = −2
n = 4
n = fraction 1 over 2
n = fraction 2 over 3

Answers

Answer:

n = 2

Step-by-step explanation:

Here, we want to write the simplified form of the equation given in the question.

Firstly, we write the equation in an equation form:

4/5n -1/5 = 2/5n

5n(4/5n -1/5) = 2/5n(5n)

(4/5n * 5n) -(1/5)(5n) = 2

4- n = 2

n =4-2

n = 2

Answer:

The answer that I got was n=2

Step-by-step explanation:

The table shows the probabilities of certain prizes in a restaurant's contest where the first 100 customers are winners. How does the $100 gift card affect the measure of center of the data? A) it increases the mean value of the prizes B) it decreases the mean value of the prizes C) it increases the median value of the prizes D) it decreases the median value of the prizes​

Answers

Answer:

A) it increases the mean value of the prizes.

Step-by-step explanation:

The median is resistant to large outliers, so it does not change if there is an especially large or small value. So, we can eliminate choices C and D.

I am actually not sure whether the data in the table count $100 as a large prize or a small one, but I am assuming it is a large prize. So, an extremely large prize would increase the mean value of the prizes.

Hope this helps!

The $100 gift card affect the measure of center of the data by increases the mean value of the prizes.

Option A is the correct answer.

What is median?

It is the middles value of the given set of numbers after arranging the given set of numbers in an order.

We have,

The $100 gift card has a much larger value compared to the other prizes, and it is only given to one person.

Therefore, adding the $100 gift card to the prizes will significantly increase the total value of the prizes, which will affect the measures of center of the data.

The mean and median are two common measures of center in statistics. The mean is the sum of all the values divided by the number of values, while the median is the middle value when the data is arranged in order.

Adding the $100 gift card will increase the mean value of the prizes, but it will not affect the median value, since the median only depends on the order of the data, not the values themselves.

Therefore,

It increases the mean value of the prizes.

Learn more about median here:

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A bag contains 5 red, 6 green, 7 yellow, and 8 blue jelly beans. A jelly bean is selected at random. What is the probability that it is blue?

Answers

Answer:

4/13 is the probability does a blue Jelly Bean is selected

Step-by-step explanation:

sample space = sum of all the jelly beans in the bag

sample space =5+6+7+8

sample space =26

probability = Jelly Bean selected / sample space

probability =8/26

probability =4/13

PLEASSE HELP
If a line crosses the y-axis at (0, 1) and has a slope of 4/5, what is the equation of the line?
A 4y - 5x=5
B.y - 4x = 5
C. 5y + 4x = 5
D. 5y - 4x = 5

Answers

Answer:

The answer is option D.

Step-by-step explanation:

Equation of the line using point (0, 1) and slope 4/5 is

[tex]y - 1 = \frac{4}{5} (x - 0) \\ \\ 5y - 5 = 4x \\ \\ 5y - 4x = 5[/tex]

Hope this helps you

Answer:

D. [tex]\boxed{5y-4x=5}[/tex]

Step-by-step explanation:

Slope = m = 4/5

y - intercept = b = 1 (As from the point (0,1) , y-intercept is when x = 0)

So, the equation becomes

=> [tex]y = mx+b[/tex]

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

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

Multiplying both sides by 5

=> [tex]5y-4x = 5[/tex]

An airline company advertises that 100% of their flights are on time after checking 5 flights from yesterday and finding that these 5 were on time.
a) What is population of interest?
b) What is the sample?
c) Was this a representative sample? Explain.
d) How should the company determine the percentage of their flights that are on time?

Answers

Answer with  explanation:

Given: An airline company advertises that 100% of their flights are on time after checking 5 flights from yesterday and finding that these 5 were on time.

a) population: A large group of observations have characteristics related to the point of the study.

Here, population: "All flights operated by the company"

b) Sample: It is a subset of the population.

Here, Sample: "5 flights from yesterday"

(c)

Since the number of flights per day operated by an airline company is much larger than 5 ( generally in hundreds).

i.e. the sample is too small to be able to assure that the results are true.

Hence, this is not a representative sample.

(d) To determine the percentage of their flights that are on time we use the following formula:

(Number of flights are on time) ÷ (Total flights) x 100

Suppose 45% of the worlds population has type "O" blood type. A study was done to see if the percent differs for college students. 47% of the 1000 random selected college students have type O blood. conduct a hypothesis test to determine if the percent of college students with type o blood differs for college students?

Answers

Answer:

We accept H₀, with CI = 90 %, porcentage of O blood type in college students does not differ from the world population porcentage

Step-by-step explanation:

The test is a proportion  two-tail test ( note: differs)

p₀ = 45 %      or  p₀ = 0,45

n = 1000

p =  47 %        or  p  = 0,47

Test Hypothesis

Null hypothesis                                H₀                   p  =  p₀

Alternative hypothesis                    Hₐ                   p  ≠ p₀

CI  we assume 90 %  then  α = 10 %    α  =  0,1    α/2  = 0,05

z score  from z-table   z(c) = 1,64

To calculate z(s) = ( p - p₀ ) / √ p₀q₀/ n

z(s)  = ( 0,47  -  0,45 )/ √( 0,45)*(0,55)/1000

z(s)  =  0,02/√( 0,2475)/1000

z(s)  =  0,02/0,01573

z(s) = 1,2714

Now we compare z(s) and z(c)

z(s) < z(c)      1,2714 < 1,64

Then z(s) is in the acceptance region we accept H₀

Other Questions
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