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When a sphere's radius is doubled, the resulting volume is eight times larger.

Formula for volume of a sphere:

V = 4/3*π*r³

In which r is the radius of the sphere.

Now, the radius of a sphere is doubled.

r' = 2r

New volume becomes:

V = 4/3*π*(2r)³

V = 4/3*π*8r³

V = 8(4/3*π*r³)

New volume = 8* Old volume

Thus, when a sphere's radius is doubled, the resulting volume is eight times larger.

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the complet question is-

the formula for the volume of a sphere is v=pie4/3r3. if the radius of a sphere is doubled the resulting volume is increased by a factor of ______.

Set A has a peak at 5. It is also skewed to the right. The center is 5.

Set B also has a peak at 5. Is relatively symmetrical. The center is also 5.

(Sorry about those circle in the back of my picture)

The value of m∠Q as shown in the right-angled triangle below is 62.59°.

The Formula used is:

m∠Q = cos⁻¹(s/r)........................ (1)

Where:

s = 29 m

r = 63 m

Now, Substitute these values into equation 1

m∠Q = cos⁻¹(29/63)

m∠Q = cos⁻¹(0.46)

m∠Q = 62.59°

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Based on the information provided in the question, we can conclude that the histogram represents 20 math team members.

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\(\begin{align}\colorbox{black}{\textcolor{white}{\underline{\underline{\sf{Please\: mark\: as\: brillinest !}}}}}\end{align}\)

\(\textcolor{blue}{\small\texttt{If you have any further questions,}}\) \(\textcolor{blue}{\small{\texttt{feel free to ask!}}}\)

♥️ \({\underline{\underline{\texttt{\large{\color{hotpink}{Sumit\:\:Roy\:\:(:\:\:}}}}}}\\\)

Answer:

False

Step-by-step explanation:

1. The inverse function should have c(n) isolated
2. When finding the inverse of a function, the variables c(n) and n are interchanged (and then c(n) is isolated).
It would look like this --->c(n)=50+4n--->n=50+4(c(n)) ---> c(n)=(n-50)/4

You would need to deposit approximately $10,471.54.

To calculate the initial deposit needed to have $20,000 in an account after 20 years with continuous compounding at a 4.75% interest rate, we can use the formula for continuous compound interest:

\(A = P e^{(rt)\)

Where:

A = Final amount ($20,000 in this case)

P = Principal amount (initial deposit)

r = Interest rate (4.75% or 0.0475 as a decimal)

t = Time period in years (20 years in this case)

Rearranging the formula to solve for P:

\(P = A / e^{(rt)\)

Now we can substitute the given values and calculate the initial deposit:

\(P = $20,000 / e^{(0.0475\times20)\)

P = $20,000 / 1.9105 ≈ $10,471.54

Therefore, you would need to deposit approximately $10,471.54 into the account initially to have $20,000 after 20 years with continuous compounding at a 4.75% interest rate.

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Answer:

all correct except A.

Step-by-step explanation:

pls mark me brainly if u can

Answer:

87.92 mm²

Step-by-step explanation:

Given:

It should be noted:

When the measures are substituted, we get the following expression:

Multiply the constants and substitute π as 3.14.

Finally, simplify the expression to determine the surface area.

Answer:

88.0 mm² (nearest tenth)

Step-by-step explanation:

Surface area of a cylinder = \(2\pi r^2+2\pi rh\)

where:

Given:

Substitute given values into the formula:

\(\begin{aligned}\sf \implies SA & =2\pi (2)^2+2\pi (2)(5)\\ & = 8 \pi+20 \pi\\ & = 28 \pi\\ & = 88.0\:\sf mm^2\:(nearest\:tenth)\end{aligned}\)

Answer:

x=1

Step-by-step explanation:

Lets substitute x with 1. 3*1 = 3

so here is the equation = 3 + 19 = 22

and that is the whole equation, and the answer

Answer:

$79.12

Step-by-step explanation:

0.54 x 172 = 92.88

172 - 92.88 = 79.12

He needs $79.12 more.

Bailey has saved 54% of the money he needs to buy a new

skateboard he needs $79.12 more.

We have given that,

Bailey has saved 54% of the money he needs to buy a new

a skateboard that costs $172.00.

We have to determine how much more money he needs to buy the skateboard.

What is the savings?

Saving is income not spent or deferred consumption. Methods of saving include putting money aside in, for example, a deposit account, a pension account, an investment fund, or cash. Saving also involves reducing expenditures, such as recurring costs.

0.54 x 172 = 92.88

172 - 92.88 = 79.12

He needs $79.12 more

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The height is 114.83 ft and the distance of the ø if someone is observing below is 84.8.

The branch of mathematics that sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.

The trigonometric functions, also known as a circular, angle, or goniometric functions in mathematics, are real functions that link the angle of a right-angled triangle to the ratios of its two side lengths.

Given that at a given point of 67.7ft at the ground level of a covered court, the angle of elevation of a roof worker from the bottom is 38.6⁰ and the angle of elevation of the roof from the top is 42.4 degrees.

The base will be calculated as:-

tan(38.6) = P / B

tan(38.6) = 67.7 / B

B = 67.7 / tan(38.6)

B = 54.8 ft

The height will be calculated as:-

Cos(42.4) = B / H

H = 84.8 / Cos(42.4)

H = 114.83 ft

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Answer:

x + 3.5

Step-by-step explanation:

You are adding

hopefully this helps you:)

Answer:-1/6

Step-by-step explanation:

Draw a line out in the 2nd quadrant.

Your y=\(\sqrt{35}\)    hypotenuse=6  use pythagorean theorem to solve for x

6² = 35 + x²

x=1

so

cosΘ = -1/6

Answer:

2

Step-by-step explanation:

negative numbers dividing with negative have positive quotients

The equation of remaining chocolate C  in terms of t is C = 30 - 3t.

A mathematical statement called an equation demonstrates the balance or equality of two expressions. It contains of variables, integers, and mathematical operations and is denoted by the equal symbol (=). Equations may be solved to determine unknown values and are used to express relationships between various quantities. To solve for x in the equation 2x + 3 = 7, for instance, remove 3 from both sides, which gives 2x = 4, then divide both sides by 2, which gives x = 2.

Given that,

Initial number of chocolates in box = 30

Also given that after 8 nights, number of remaining chocolates = 6

Implies that,

In 8 nights, 24 chocolates were treated.

In 1 night, 3 chocolates were treated.

The equation of remaining chocolate C  in terms of t can be written as

C = 30 - 3t.

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Answer:

Width = 3.773 inches

Length = 79.227 inches-

Step-by-step explanation:

g = 7(3w)             Eq. 1

166 = 2(g+w)       Eq. 2

g = length

w = width

From Eq, 1:

g = 21w              Eq. 3

Replacing Eq. 3 in Eq. 2

166 = 2(21w + w)

166 = 2(22w)

166 = 44w

166/44 = w

w = 3.773

From Eq. 3

g = 21(3.773)

g = 79.227

Check:

From Eq. 2:

166 = 2(79.227 + 3.773) = 2 * 83

The expression that represents Ana's age is 2 + w.

A mathematical expression is made up of a statement, at least two integers or variables, and one or more arithmetic operations. This mathematical operation enables the multiplication, division, addition, or subtraction of numbers. The following is the structure of an expression:

Expression: (Number/Variable, Math Operator, Math Operator)

Given:

let w represent Wanda's age.

let a represent Ana's age.

Also given Ana is 2 years older then Wanda

Ana's age can be calculated as Wanda's age plus 2

Hence the expression which represents Ana's age  is given below

Ana's age = 2 + Wanda's age

a = 2 + w

Hence Ana's age is 2 + w.

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Step-by-step explanation:

hope it's helpful for you

pls mark above guy as brainliest

Answer: 5.50

Step-by-step explanation:

Answer:

  P'( 4, -4)

Step-by-step explanation:

The double reflection across the x-axis does nothing, so the net effect is a single reflection across the y-axis. That effect is to negate the x-coordinate:

  reflection across y-axis: (x, y) ⇒ (-x, y)

  Then P(-4, -4) ⇒ P'(4, -4)

Answer:

4,-4

Step-by-step explanation:

edmentum answer!!

The distance between points C and D is given as follows:

5 units.

Suppose that we have two points of the coordinate plane, and the ordered pairs have coordinates \((x_1,y_1)\) and \((x_2,y_2)\).

The shortest distance between them is given by the equation presented as follows, derived from the Pythagorean Theorem:

\(D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

The coordinates for this problem are given as follows:

(-4, -6) and (1, -6).

Hence the distance is given as follows:

\(D = \sqrt{(-4 - 1)^2 + (-6 - (-6))^2}\)

D = 5 units.

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floor plan => It is the scale drawing that show the relationship between rooms, spaces, and physical features viewed from the above

THIS PIC WILL ALSO HELP U

Answer:

B

Step-by-step explanation:

slope intercept form - y = mx + b

where m = slope and b = y intercept

first let's find the y intercept

The y intercept is the y value of the coordinate where the line passes the y axis

The line passes the y axis at (0,2)

The y value of this coordinate is 2 so b = 2

* plug in 2 *

now we have y =  mx + 2

Now we want to find the slope.

slope is equal to the change in y over the change in x

As y goes up 3 x goes down 1

so slope = 3/-1 or -3

hence m = -3

* plug in -3 *

now we have y = -3x + 2

The answer is B

Answer:

Step-by-step explanation:

if you mean graph each of the slope-intercept lines , it's pretty helpful to use Desmos for this, just input the line formula .  as below

Step-by-step explanation:

Pick any point on the graph below for a solution:

Answer:

No, the Normal/large sample condition is not met. A confidence interval assumes that the underlying population follows a normal distribution and that the sample size should be at least 30. Since the sample size in this case is only 10, the Normal/Large Sample condition is not met and the conditions for constructing a confidence interval are not met.

Consequently, there are 5 elements in A B'.

Given the following definitions:

U = {1, 2, 3, 4, 5, 6, 7}A = {1, 2, 4, 5}B = {1, 3, 5, 7}

The complement of a set B is the set of all elements that belong to the universal set U but not to B.

A’ = {x | x ∈ U and x ∉ A} = {3, 6, 7}B’ = {x | x ∈ U and x ∉ B} = {2, 4, 6}

The union of sets A and B is the set of all elements that belong to set A or set B, or both.

A ∪ B = {x | x ∈ A or x ∈ B}

= {1, 2, 3, 4, 5, 7}A ∪ B'

= {x | x ∈ A or x ∈ B’}

= {1, 2, 4, 5, 6}

Therefore, the number of elements in A ∪ B' is 5.

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The inequality tha calculates the possible values of x is x < 2

From the question, we have the following parameters that can be used in our computation:

The figure

Where, we have

3x + 2 < 10

And, we have

2x + 6 < 10

Evaluate the expressions

So, we have

3x < 8 and 2x < 4

Evaluate

x < 8/3 and x < 2

Hence, the inequality tha calculates x is x < 2

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We are aware that (\(1^2\) + a1 + b) = 15 represents the sequence's initial term. The second term is determined by the formula (\(2^2\) + a2 + b) = 22. These equations can be expressed as a set of linear equations:

a + b = 14 ...(1)

a + b = 14 ...(1)

The results of the simultaneous solving of these equations are a = -3 b = 17.

Thus, \((n-3)^2 + 17\) is the nth term in the series in the form of (n+a)2 + b.

An Arithmetic Progression (AP) is a sequence of numbers in which each term is obtained by adding a fixed value to the previous term. This fixed value is called the common difference of progression.

For example, the sequence 2, 5, 8, 11, 14, ... is an arithmetic progression with a common difference of 3. To find the next term, we add 3 to the previous term:

2 + 3 = 5

5 + 3 = 8

8 + 3 = 11

11 + 3 = 14

And so on.

In general, the nth term of an arithmetic progression can be calculated using the formula:

an = a1 + (n - 1)d

where:

an is the nth term of the sequence

a1 is the first term of the sequence

the common difference between terms

n is the number of the term you want to find

So, if we wanted to find the 10th term of the sequence 2, 5, 8, 11, 14, ..., we would use the formula:

a10 = 2 + (10 - 1)3

a10 = 2 + 27

a10 = 29

Therefore, the 10th term of the sequence is 29.

To find the nth term of the sequence in the form of (n+a)² + b, we need to first find the values of a and b.

Let's begin by finding the difference between consecutive terms in the sequence:

The difference between the first and second terms is 22 - 15 = 7.

The difference between the second and third terms is 31 - 22 = 9.

We can observe that the difference between consecutive terms is not constant, which means that the sequence is not arithmetic. However, we can check if the second differences are constant:

The second difference is 2.

Since the second differences are constant, we can conclude that the sequence can be represented by a quadratic equation of the form (n² + an + b). Now, we need to solve for the values of a and b.

We know that the first term of the sequence is given by (1² + a1 + b) = 15. Similarly, the second term is given by (2² + a2 + b) = 22. We can write these equations as a system of linear equations:

a + b = 14 ...(1)

4a + b = 11 ...(2)

Solving these equations simultaneously, we get:

a = -3

b = 17

Therefore, the nth term of the sequence in the form of (n+a)² + b is:

(n-3)² + 17

So, for example:

The 1st term is (1-3)² + 17 = 9 + 17 = 26

The 2nd term is (2-3)² + 17 = 1 + 17 = 18

The 3rd term is (3-3)² + 17 = 0 + 17 = 17

The 4th term is (4-3)² + 17 = 1 + 17 = 18

The 5th term is (5-3)² + 17 = 4 + 17 = 21

and so on.

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Answer:

where's the rest of the question?

Step-by-step explanation: