Given that f(x)=x3​, find

Using the given information, the radius of the sphere to the nearest meter is 13m

From the question, we are to determine the radius of the sphere

Using the formula for calculating the volume of a sphere,

[tex]V = \frac{4}{3} \pi r^{3}[/tex]

Where V is the volume

and r is the radius

From the given information,

V = 9198 m³

Then,

[tex]9198 = \frac{4}{3} \times \pi r^{3}[/tex]

[tex]9198 = \frac{4}{3} \times 3.14 \times r^{3}[/tex]

[tex]4 \times 3.14 \times r^{3} = 9198 \times 3[/tex]

[tex]4 \times 3.14 \times r^{3} = 27594[/tex]

[tex]r^{3} = \frac{27594}{4 \times 3.14}[/tex]

[tex]r = \sqrt[3]{\frac{27594}{4\times 3.14} }[/tex]

r = 12.99995 m

r ≅ 13 m

Hence, the radius of the sphere to the nearest meter is 13m.

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The equation of the asymptote of the hyperbola is y = 3x + 10

From the complete question the asymptote passes through the points:

(x,y) = (-1, 7) and (-3,1)

The slope of the line is calculated using:

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

So, we have:

[tex]m = \frac{7 - 1}{-1 + 3}[/tex]

This gives

m = 3

The equation is then calculated using:

y = m(x -x1) + y1

This gives

y = 3(x + 1) + 7

Evaluate

y = 3x + 3 + 7

y = 3x + 10

Hence, the equation of the asymptote is y = 3x + 10

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The measure of the angle m∠Q is 30.8 degree after applying the law of cosine.

The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

Let's suppose the angle m∠Q is A

So applying law of cosine:

[tex]\rm 40^2 = 64^2+32^2-2(64)(32) \ cosA[/tex]

CosA = 0.859

A = 30.75 ≈ 30.8 degree

Thus, the measure of the angle m∠Q is 30.8 degree after applying the law of cosine.

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The null hypothesis is that the mean mass of vitamin c per tablet does not differ from 297 milligrams

The alternative hypothesis is that the mean mass of vitamin c per tablet differs from 297 milligrams.

The null hypothesis usually states that there is no relationship between the population parameters. It is known as the true hypothesis. The alternative hypothesis states that there is a relationship between the population parameters.

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Answer:

s-(t+r)

Step-by-step explanation:

Answer:

b) g(x) = x + 7

it may seem like its x - 7, but it's actually x + 7 since it shifts up the graph 7 units.

Answer:

672

[tex]A_L = (a+b+c)h = (12+10+20)*16 = 672[/tex]

Answer:

-1331

Step-by-step explanation:

Just ask. :)

Answer:

[tex]\frac{3}{y^{2} }[/tex]

Step-by-step explanation:

This question is asking you to simplify using the law of indices:

Just to write out the question in fraction form:

[tex]\frac{12y^{7} }{4y^{9} }[/tex]

Cancel out the 4:

[tex]\frac{3y^{7} }{y^{9} }[/tex]

Cancel out y^7:

[tex]\frac{3}{y^{2} }[/tex]

Hope this helped and brainliest please

Answer:

3/y^2

Step-by-step explanation:

1. Rewrite the division as a fraction.

= 12y^7/4y^9

2. Cancel the common factor of 12 and 4

= 4(3y^7)/4y^9

= 3y^7/y^9

3. Cancel the common factor of y^7 and y^9

= y^7 ⋅ 3/y^9

= 3/y^2

Answer:

16

(14-6)×2=16 So initially Emma had 16 books.

Answer:

C and D

Step-by-step explanation:

C). With the X right by the 100 means that it could be anything there, so you would put a 3 at the end so then 100 x 3 = 300.
D). The value is already 300 so no need to do work there.

Using Multiplication, 100 × 3 is this expressions could be the one daisy estimated.

Multiplication is an "operation that represents the basic idea of repeated addition of the same number. The numbers that are multiplied are called the factors and the result that is obtained after the multiplication of two or more numbers is known as the product of those numbers".

According to the question.

Daisy estimated a certain expression to have a value is 300 using Multiplication we have,

100 × x =300

x = 300/100

x = 3.

Hence, 100 × 3 is this expressions could be the one daisy estimated using Multiplication.

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Answer:

you how are doing please study and work hard

Answer: true

Step-by-step explanation: The answer is true. As a linear pair is a pair of adjacent, supplementary angles. Adjacent means next to each other, and supplementary means that the measures of the two angles add up to equal 180 degrees.

Answer:

true

Step-by-step explanation:

Answer:

π^8

Step-by-step explanation:

π^30/π^22= π^8

The set of the equations x + y = 2 and 2x + 2y = 4 have infinitely many solutions, option (b) is correct.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have:

equation of the line:

x + y = 2

a) 2x + 2y = 2  ⇒ x + y = 1

b) 2x + 2y = 4 ⇒ x + y = 2

c) 2x + y = 2 ⇒ 2x + y = 2

d) x + y = 4 ⇒ x + y = 4

The given equation and equation (b) 2x + 2y = 4 ⇒ x + y = 2 has the same coefficient of x and y as well as same constant it means the set of the equations have infinitely many solutions

Thus, the set of the equations x + y = 2 and 2x + 2y = 4 have infinitely many solutions option (b) is correct.

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Answer:

132:198:330

Step-by-step explanation:

You can take the total amount of $660, then divide it by how many parts you have, which is ten. You then get $66, which you can then multiply by the amount for each part of the ratio (2, 3, 5)

Answer:

132$ ,198$, 330&

Step-by-step explanation:

2+3+5=10

2/10×660$

=132$

3/10×660$

=198$

5/10×660$

=330$

Answer:

Step-by-step explanation:

3 ten-thousands:

41 thousands:

45 hundreds:

49 tens:

8 ones:

Add them all up:

Answer: 45,28,13

Step-by-step explanation:

Firstly let’s call integer 3

‘x’

Following the information given the following equations can be constructed:

integer 3 = x

integer 2 = 2+2x because 2x represents 2 times integer 3 (which is x) and plus two

integer 1 =3((2x+2)-x) what we have written is the difference between integer 2 (which was (2x+2)) and integer 3 which was x and simply multiply the result of that subtraction by 3

next we can treat them like their own variables almost.

integer 1 + integer 2 + integer 3 =86

so now plug in the equations we have constructed for each integer:

(3((2x+2)-x)) + (2x+2) + x = 86

to make it easier to read please see the image attached below to solve for x

After you have gone through the image I have included you should notice x= 13 great we got one integer! (Integer 3)

now plug in 13 into our integer equations :

integer 2: 2(13)+2= 28

Therefore integer 2 is 28

integer 1: 3((2(13)+2)-(13))=
3((28-13)

3(15)

45

Therefore integer 1 is 45.

and integer 3 is x which as we now know is equal to 13

Answer:

23.33

Step-by-step explanation:

The sum of the internal angles of a triangle is 180°, which is given by The Angle Sum Property of Triangles.

⇒ 3x - 17 + 2x + 5 + x + 52 = 180

⇒ 6x + 40 = 180

⇒ 6x = 140

⇒ x = 140/6

⇒ x = 70/3

⇒ x = 23.33

Answer: x = 23.333

In any triangle, all the three angles will ALWAYS add up to 180°. According to that:

▪ 180° = <a + <b + <c

(2x + 5) + (3x - 17) + (x + 52) = 180

2x + 5 + 3x - 17 + x + 52 = 180

Rearrange according to like terms

2x + 3x + x + 52 - 17 + 5 = 180

6x + 40 = 180

Now we'll find the value of x

6x = 180 - 40

x = 140/6

By cross cancellation we get

x = 70/3

You could change it into decimal as well

x = 23.333 answer

therefore, the third option that says 23.33 is correct.

Hope that helps...

The total amount of money that was spent on lunch on Tuesday is $45.94.

The total amount that was spent on food on Tuesday can be determined by adding the amount spent on breakfast, lunch and dinner. Addition is the mathematical operation that is used to determine the sum of two or more numbers.

Total amount spent = 22.13 + 12.02 + 11.79 = $45.94

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Answer: $19

Step-by-step explanation:

    We will set up equations to solve and pull the information we need from the given passage. Let x be new york cheesecakes and y be chocolate marble.

    Lea sold 14 new york and 11 chocolate marble. She made $293 total.

         14x + 11y = 293

    Adam sold 7 new york and 2 chocolate marble for $80 total.

         7x + 2y = 80

    Now I will graph the two equations. The y-coordinate in the point of intersection is the solution is the answer to your question.

         (6, 19)

         $19

    The cost for one chocolate marble cheesecake is $19.

Answer:

3x + 12

Step-by-step explanation:

This is an 'expression'  ...there is no 'answer'  but it can be re-arranged

3(x+4) =   3 * x  +  3 * 4 =   3x + 12

Hey there!

3(x + 4)

= 3(1x + 4)

DISTRIBUTE 3 WITHIN the PARENTHESES

= 3(1x) + 3(4)

= 3(x) + 3(4)

= 3x + 12

Therefore, the answer should be:

3x + 12

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

Slope = 8

Y-intercept = (0, 9)

Step-by-step explanation:

Slope-intercept form of an equation :

Therefore, on comparing with the given equation :

Answer

60%

Step-by-step explanation:

Im not certain but i think its 60%,because the standard deviation is 6 and that as a percent is 60%

Answer:

19.5625

Step-by-step explanation:

To find the mean, you add all of your values together and divide by the number of values you have.

Here are the values in the dot plot listed:

12, 12, 15, 15, 15, 15, 16, 18, 20, 20, 22, 25, 25, 25, 29, 29

To find the mean:

(12 + 12 + 15 + 15 + 15 + 15 + 16 + 18 + 20 + 20 + 22 + 25 + 25 + 25 + 29 + 29)/16 = 19.5625

Answer:

The inequality is: 5<c<19

Length of third side "c" can have values greater than 5 but less than 19

Solution:

Given that,

Length of two sides of triangle are 7 inches and 12 inches respectively

Let the length of third side be "c"

The Triangle Inequality Theorem, states that, the sum of the lengths of any two sides of a triangle is greater than the length of the third side

So we get a inequality as:

Case 1:

Sum of length of two sides of triangle > length of third side

Rewrite,

Case 2:

Let 12 inches be the length of third side

Sum of sides of length 7 and c > 12

Therefore from case 1 and case 2,

Which can be combined,

Therefore the possible values of "c" are:

"c" can have values greater than 5 but less than 19

maybe 1375 cubic feet of water will take to fill the well

Answer:

you did it wrong you have to subtract X from 8900.

First you want to subtract 390 from 8900 and that equals

Answer:

[tex]x = \pm 2\sqrt3[/tex]

Step-by-step explanation:

Hello!

Let's use the square root property to solve this question

Solve:

The answer is option A: x = ±2√3