A regulation NBA basketball has a radius of 4.7 inches. Find the surface area of the ball in terms of pi.

The steps to calculate the retirement bank rate are

1) Calculate your current retirement savings

2) Estimate your future retirement savings

3) Calculate your retirement savings rate

4) Adjust your savings rate as needed

Calculating your retirement savings rate can be a helpful way to ensure you're saving enough money to support your retirement. Here are the steps to calculate your bank rate retirement online:

Calculate your current retirement savings: You'll need to calculate the total amount of money you've saved for retirement so far,

Estimate your future retirement savings: You can use an online retirement calculator to estimate the amount of money you'll have saved by the time you retire based on your current savings rate,

Calculate your retirement savings rate: To calculate your retirement savings rate, divide your total retirement savings by your retirement savings goal.

Adjust your savings rate as needed: If your retirement savings rate is lower than you'd like, consider increasing your savings rate by contributing more money to your retirement accounts or exploring other investment options.

It's important to keep in mind that retirement planning is a complex process, and there are many factors that can impact your retirement savings rate, such as inflation, unexpected expenses, and changes in the stock market.

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The time it takes to evaluate 27 + 72 is not a random variable, because it is a deterministic quantity that does not involve any uncertainty or probability.

The exact time it takes to evaluate 27 + 72 is not a random variable, because it is a deterministic quantity that does not involve any element of chance or uncertainty. The result of the addition is always the same and can be calculated precisely in a finite amount of time.

Random variables, on the other hand, are variables that can take on different values with certain probabilities, and are used to model phenomena that involve uncertainty or randomness. Discrete random variables take on a countable set of values, while continuous random variables take on an uncountably infinite range of values.

In summary, the time it takes to evaluate 27 + 72 is not a random variable, because it is a deterministic quantity that does not involve any uncertainty or probability.

In mathematics, a variable is a symbol or letter that represents a value or quantity that can change or vary. Variables are used to express relationships between different quantities and to solve equations.

For example, in the equation y = 2x + 3, x and y are variables. The value of y depends on the value of x, which can vary. We can solve for the value of y for different values of x, and the solution will be a set of ordered pairs (x, y) that form a straight line when plotted on a graph.

Variables can be used to represent a wide range of quantities, including numbers, vectors, functions, and more. They are an essential tool in many branches of mathematics, including algebra, calculus, and statistics.

In addition to mathematics, variables are also used in many other fields, including science, engineering, and computer programming, to represent quantities that can change or be controlled. In these fields, variables are often used to model complex systems or to simulate experiments, and are a fundamental concept in data analysis and computational thinking.

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Answer:

Step-by-step explanation:

792!

Answer:

792

Step-by-step explanation:

First she increases 800 by 10 percent

Since 10 percent of 800 is 80, it becomes 880

then she decreases this result by 10 percent

since 10 percent of 880 is 88, the result becomes 880-88=792

Therefore 792 is the final number

Answer:

52.75

i hope it helps

This statement simply means there are more female birds in the pet store than there are male birds. It also means for every 5 female birds in the pet store there are 3 male birds

From the question, we are to write a sentence that explains what the given sentence means.

From the given information, the given sentence is

"At a pet store, the ratio of female birds to male birds was 5:3"

This statement simply means there are more female birds in the pet store than there are male birds; or there are less male birds in the pet store than there are female birds. It also means for every 5 female birds in the pet store there are 3 male birds; or for every 3 male birds in the pet store, there are 5 female birds.

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Answer: We can use the formula for the price elasticity of demand to solve this problem:

Price elasticity of demand = percent change in quantity demanded / percent change in price

We are given that the price of chicken breast rises from $3.00 to $3.60 per pound, which is a 20% increase:

percent change in price = (3.60 - 3.00) / 3.00 = 0.20 = 20%

We are also given that the demand for chicken breast falls by 25%, which is a 25% decrease:

percent change in quantity demanded = -25%

Using these values in the formula, we get:

Price elasticity of demand = (-25%) / (20%) = -1.25

Since we are interested in the absolute value of the price elasticity of demand, we have:

|Price elasticity of demand| = |-1.25| = 1.25

A price elasticity of demand greater than 1 is considered elastic, and a price elasticity of demand less than 1 is considered inelastic. Therefore, the answer is (d) 1.25; elastic.

Step-by-step explanation:

a. Probability of finding the ring is 0.2 or 20%.

b. Probability of not finding the ring is 0.8 or 80%.

c. Digging in the shaded square region at the right does not improve Kendrick's chances of finding the ring because the probability of finding the ring per unit area is the same in all the regions.

The probability of finding the ring in the 2-foot square shaded region can be calculated below as follows:

Probability = (area of shaded region) / (area of entire sandbox)

area of the shaded region = 2 * 2

area of the shaded region = 4

area of the entire sandbox = 5 * 4

area of the entire sandbox =  20

Probability = 4 / 20

Probability = 0.2 or 20%.

b. The probability of not finding the ring:

Probability of not finding the ring = 1 - Probability of finding the ring

Probability of not finding the ring = 1 - 0.2

Probability of not finding the ring = 0.8 or 80%.

c. Digging in the larger square region does not improve Kendrick's chances of finding the ring because the probability of finding the ring depends only on the ratio of the area of the shaded region to the area of the entire sandbox.

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Answer:whitch one are they talking about I think it might be answer 3

Step-by-step explanation:

The best answer to submit for (515 x 0.0025) + 24.57 is 25.8575.

A decimal is a number with a whole and a fractional component. Decimal numbers, which are in between integers, are used to express the numerical value of full and partially whole amounts. Decimal notation is the name for the method used to represent numbers in the decimal system. The Hindu-Arabic numeral system has been expanded to include non-integer values.

To find the answer to the expression (515 x 0.0025) +24.57, we can simplify it by performing the multiplication and addition in the correct order:

(515 x 0.0025) + 24.57 = 1.2875 + 24.57 = 25.8575

Therefore, the best answer to report is C. 25.8575.

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The y-intercept of the graph of this line is equal to 1.

Mathematically, the slope-intercept form of the equation of a straight line is given by this mathematical expression;

y = mx + c

Where:

In Mathematics, the y-intercept is sometimes referred to as an initial value and the y-intercept of any graph such as a linear function, generally occur at the point where the value of "x" is equal to zero (x = 0).

In this context, we can logically deduce that the y-intercept as shown in the image attached below is at point (0, 1).

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63 inches is nearly equal to 160.02 cm, rounded to two decimal places.

The Imperial and US Customary measuring systems both utilise the inch as their unit of measurement.

It is the unit of length.

Furthermore, length is measured in centimetres,

Used in the International System of Units,

This is the metric system's present configuration.

52 centimetres equal 20.47 inches (centimeters).

63 inches are equal to 160.02 centimetres.

To convert inches to centimeters,

We can use the following conversion:

1 inch = 2.54 cm

Therefore,

To convert 63 inches to centimeters,

You can multiply 63 by 2.54:

63 inches × 2.54 cm/inch

= 160.02 cm

So 63 inches is nearly equal to 160.02 cm, rounded to two decimal places.

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Answer:

55%

Step-by-step explanation:

To get 55 I just divided 33/60 and multiplied it buy 100

If Juan baked 250 cookies in 2 hours, then he can make approximately 2.08 cookies in one minute.

The unitary method involves finding the value of one unit and then using that to find the value of any number of units.

In this problem, the unit we are interested in is cookies per minute. We need to find out how many cookies Juan can make in one minute, given that he can make 250 cookies in 2 hours.

To find out how many cookies Juan can make in one hour, we can use the unitary method as follows:

1 hour = 60 minutes (since there are 60 minutes in one hour)

So, if Juan can make 250 cookies in 2 hours, he can make:

250 cookies / 2 hours = 125 cookies per hour

Using the unitary method again, we can find out number of cookies Juan can make in one minute:

1 hour = 60 minutes

So, Juan can make:

125 cookies / 60 minutes = 2.08 cookies per minute

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Answer:

A. 32

Step-by-step explanation:

80% of 120 is 96

So 96 divided by 3 is 32, so 32 x 3 = 96

Which means 32/96 also equals 1/3

Answer:

[tex]8y^{3}[/tex]

Step-by-step explanation:

First you move like terms together. This leads to the equation, (2*2^2)(y^2*y). (2*2^2) is (2*4), or 8, and y^2*y is y^3. This means the simplifies equation is 8(y^3).

Answer:

Step-by-step explanation:

Given

[tex]\left(y^22\right)\left(y2^2\right)[/tex]

Lets simplify.

Remove the parenthesis.

[tex]y^2*2*y*2^2[/tex]

Rearrange the terms. (commutative property)

[tex]y*y^2*2*2^2[/tex]

Rewrite [tex]y[/tex] as [tex]y^1[/tex].

[tex]y^1y^2*2*2^2[/tex]

Use the power rule to combine the exponents.

[tex]y^{1+2} *2*2^2[/tex]

[tex]y^{3} *2*2^2[/tex]

Evaluate [tex]2*2^2[/tex].

[tex]2*2*2=8[/tex]

[tex]y^3*8=8y^3[/tex]

[tex]8y^3[/tex]

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Answer:

Below

Step-by-step explanation:

(x+2)^2   is just    (x+2)(x+2)   factored  

The superposition is the imposing of one wave on the other and resulting in the change of the amplitude of the final wave.

When two or more waves travel through the same space in superposition, their combined amplitudes equal the amplitudes they would have produced individually. For instance, two waves moving in the same direction will pass through each other without causing any distortion on the other side.

The pattern you see when shining light through two slits, the sounds you hear in acoustically sound rooms and music halls, the interference radios receive when moved close to other electronic devices, and any tone produced by a musical instrument are all examples of the superposition principle in action.

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The possible value of x are + √15 and - √15

Angles who are of same measurement are called congruent.

Suppose that two angles ∠A and ∠B are of same measure, then

[tex]m\angle A = m\angle B[/tex]

is the notation to say that they are of same measurement, where the small m shows that its the measurement of the angles they're preceding.

Then the congruency between them as;

[tex]\angle A \cong \angle B[/tex]

angle EAB  = 2x² + x

angle EDA =  x + 30

Here we can see the angle EAB and angle EDA are equal

So,

2x² + x = x + 30

2x² + x - x = 30

2x² =  30

x² = 15

x =±√15

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Answer:

The x-intercept is the point where a line crosses the x-axis

Step-by-step explanation:

Answer:

Below

Step-by-step explanation:

tan x  = 110 /11

Arctan( tan x) = arctan(110/11)

   x     =   84.3°

Answer:

To solve the inequality |h + 3| < 5, we need to consider two cases, depending on whether the expression inside the absolute value bars is positive or negative:

Case 1: h + 3 >= 0

If h + 3 >= 0, then we can remove the absolute value bars without changing the inequality:

h + 3 < 5

Subtracting 3 from both sides, we get:

h < 2

So the solution for this case is h < 2.

Case 2: h + 3 < 0

If h + 3 < 0, then the inequality becomes:

-(h + 3) < 5

Multiplying both sides by -1 (and reversing the inequality), we get:

h + 3 > -5

Subtracting 3 from both sides, we get:

h > -8

So the solution for this case is h > -8.

Putting these two solutions together, we have:

-8 < h < 2

Therefore, the solution set in set-builder notation is:

{h | -8 < h < 2}

The geometric mean of two numbers is the square root of their product. Hence, the geometric mean 'a' of 2 and 1/4 is approximately equal to 0.70710678118.

Recall that the geometric mean of two numbers is the square root of their product. This means that we need to multiply the two numbers (2 and 1/4) and then take the square root of the result.

Multiply 2 and 1/4:

2 × 1/4 = 1/2

Take the square root of the result:

a = √(1/2)

Simplify the square root:

a = √(1/2) = √(1)/√(2) = 1/√(2)

Rationalize the denominator by multiplying the top and bottom by √(2):

a = (1/√(2)) × (√(2)/√(2)) = √(2)/2

Approximate the result to a desired level of accuracy, if necessary. In this case, rounding to 11 decimal places gives:

a ≈ 0.70710678118

Therefore, the geometric mean 'a' of 2 and 1/4 is approximately equal to 0.70710678118

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The solution is, Loan origination fee = $696

A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.

here, we have,

Given:

Home value = $58,000

Loan-to-value loan = 80%

Loan origination fee = 1.5 points = 1.5%

Find:

Loan origination fee = ?

Computation:

Total loan amount = Home value × Loan-to-value loan

Total loan amount = $58,000 × 80%

Total loan amount = $46,400

Loan origination fee = Total loan amount × 1.5%

Loan origination fee = $46,400 × 1.5%

Loan origination fee = $696

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In the triangle the value for x is obtained as option B: 96°.

What are triangles?

Triangles are a particular sort of polygon in geometry that have three sides and three vertices. Three straight sides make up the two-dimensional figure shown here. An example of a 3-sided polygon is a triangle. The total of a triangle's three angles equals 180 degrees. One plane completely encloses the triangle.

Use the fact that the sum of the exterior angles of a triangle is always 360°.

Let the unknown exterior angle be x.

So, the equation will be -

130° + 134° + x = 360°

264° + x = 360°

x = 360° - 264°

x = 96°

Therefore, the value is obtained as 96°.

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Answer:

  A) Only for 180° rotations

Step-by-step explanation:

You want to know if a quadrilateral can be rotated so that each side is parallel to the corresponding side of its image.

In general, a line segment's image will be parallel to the original if it is rotated 180°. Hence the line segments that make up a quadrilateral's image will be parallel to corresponding sides if the quadrilateral is rotated 180°.

The attachment shows a quadrilateral rotated 180°.

__

Additional comment

We assume that the "corresponding side" of AB is A'B' in the image.

If square ABCD is rotated 90°, then side AB will be parallel to side B'C', and the same will be true for 3 other pairs of sides. For the purpose of this question, we don't consider AB and B'C' to be "corresponding" sides.

The vertex form of the quadratic equation is:

h(t) = -42*(x - 3)² + 378

And the maximum height is 378 ft.

We know that the height of the projectile is defined by the quadratic equation:

h(t) = -42t² + 252t

Remember that for any quadratic equation:

y = a*x² + b*x + c

The vertex is at:

x = -b/2a

So in this case, the vertex is at:

t = -252/(2*-42)

t = 3

So the maximum height of the projectile is:

h(3) = -42*3² + 252*3 = 378

And thus, the vertex is (3, 378), then the vertex form is:

h(t) = -42*(x - 3)² + 378

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The value of 15 percent after converted into decimal is given by 0.15.

Convert percent into decimal :

One percent represents the one part by converting it into hundred equal parts.

⇒ 1 percent = ( 1 / 100 ) part

⇒ 1 percent = ( 0.01 ) in decimals

Substitute the value of 15 percent to get it into decimals we get,

⇒ 15 percent = ( 15 ) × ( 0.01 ) in decimals

⇒ 15 percent = ( 15 × 0.01 ) decimals

⇒ 15 percent = ( 0.15 ) decimals

Therefore, after converting 15 percent into decimals it is equal to 0.15.

The above question is incomplete , the complete question is :

What is 15 percent in a decimal ?

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Volume of a cone

1/4π ft³

To find the volume of the cone, we use the formula

volume = (1/3) × π × r² × h

From the question, we are given its height and radius

we substitute for these in the equation above. these will give us the answer. (note in terms of pi)

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The area of the carpet is [tex]2 7/20[/tex] square meters.

The size of a patch on a surface is determined by its area. Surface area refers to the area of an open surface or the boundary of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a form or planar lamina.

To find the area of the carpet, we need to multiply its length by its width.

The mixed numbers must first be transformed into improper fractions:

Length: 21/4 = 9/4

Width: 11/5 = 6/5

Then we can multiply:

Area = length x width

Area = (9/4) x (6/5)

Area = 54/20 or 27/20 square meters

Therefore, the area of the carpet is 27/20 square meters.

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