Find the volume of a sphere whose radius is 20.8 centimeters. Leave your answer in form.
π cm³
Type the answer in terms of pi by putting the number BEFORE pi in the box, rounded to the nearest thousandth.
For example, "47" would look like 4
V=
H

5/6 is the value of b.......

5[1-[tex](2/3)^{8}[/tex]/1-2/3] can be used to evaluate the series 8 E k=1 5 (2/3) k-1 through geometric series.

A unique kind of sequence called a geometric sequence has a constant ratio between every two succeeding terms. This ratio is regarded as one of the geometric sequence's common ratios. In other words, the following term is obtained by multiplying each phrase in a geometric series by a constant.

Hence, a geometric series has the formula a, ar, ar2, where an is the first term and r are the sequence's common-ratio. Either a positive or negative integer can be used to describe the common ratio.

The given series is:

Now,we want to write an expression that can be used to evaluate this series.

Since this is a geometric series, we use the formula for the sum of the first k terms: Sk = a (1-[tex]r^{k}[/tex]/1-r)

From the given series the first term a= 5 is, and the common ratio is r =2/5 and k=8

We substitute the values to obtain:

S8= 5[1-[tex](2/3)^{8}[/tex]/1-2/3]

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The true statement of the equation 4+-2=5 is false

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

4+-2=5

To determine the trie statement, we evaluate the expression 4 + (-2)

Using the above as a guide, we have the following:

The sum of 4 and -2 is:

4 + (-2) = 2

So, we have

2 = 5

The above is not true

Hence, the statement "4 + (-2) = 5" is false.

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The two functions have equivalent zeros if k = 60.

Here we have two functions which are:

f(x) = 4x - 20

g(x) = -12x + k

We want these two functions to have equivalent zeros, so first let's find the zero of f(x), we will get:

f(x) = 4x - 20 =0

4x  = 20

x = 20/4

x = 5

And that must also be a zero of g(x), then:

-12*5 + k = 0

Solving this for k.

-60 + k = 0

k = 60

That must be the value of k.

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In respοnse tο the query, we can state that Therefοre, the simplified equatiοn expressiοn fοr f(x+h) - f(x)/h is: 10x + 5h + 3

In a math equatiοn, twο assertiοns are cοnnected by the equals sign (=), which denοtes equivalence. A mathematical assertiοn used in algebraic equatiοns establishes the equivalence οf twο mathematical statements. Fοr instance, in the equatiοn 3x + 5 = 14, the equal sign creates a space between the values 3x + 5 and 14. Tο cοmprehend the relatiοnship between the twο sentences written οn οppοsing sides οf a letter, utilise a mathematical fοrmula. The lοgο and the specific prοgramme typically cοrrespοnd. An illustratiοn wοuld be 2x - 4 = 2.

functiοn f(x) intο the fοrmula fοr f(x+h) - f(x)/h, and then simplify the resulting expressiοn algebraically.

f (x + h) — f (x)

= [5(x + h)² + 3(x + 10] — [5x² + 3x]

= [5(x² + 2xh + h²) + 3x + 314 — [5x² + ax]

= [5x² + 10xh + 5k² + 3x + 3h] — [5x² + 3x]

= 10xh + 5h² + 3h f(x+h) - 1(x) h

= 10x + 5k + 3

Therefοre, the simplified expressiοn fοr f(x+h) - f(x)/h is:

10x + 5h + 3

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Answer:

f=-15

Step-by-step explanation:

f/3 +22=17

take away 22 from both sides

f/3=-5

then times by 3

f=-15

so f=-15

Answer:

Step-by-step explanation:

90 degrees is the answer because there is no movement

The distance between points A and B is: A. 4√5 units.

Mathematically, the distance between two (2) points that are on a coordinate plane can be calculated by using this formula:

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Where:

x and y represents the data points (coordinates) on a cartesian coordinate.

Substituting the given parameters into the distance formula, we have the following;

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Distance = √[(4 - (-4))² + (-2 - 2)²]

Distance = √[(8)² + (-4)²]

Distance = √(64 + 16)

Distance = √80

Distance = √16 × √5

Distance = 4√5 units.

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Answer:

none of them are right it is 4 to the 10

Step-by-step explanation:

The percentage of his paycheck went to paying taxes is, 28.66%.

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

Given a paycheck of $466.34.

Now, The amount of the following taxes are,

FCIA MED TAX: $8.70.

FICA SS TAX: $37.20.

FED TAX: $59.57.

MA ST TAX: $28.19.

Therefore, The total amount of tax is, $(8.70 + 37.20 + 59.57 + 28.19).

= $133.66.

So, The percentage of his pay that goes to tax is,

= (133.66/466.34)×100%.

= 28.66%.

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The measurement that, in inches, comes closest toward the length equal of a square tile is: 11 in.

A square is a shape that we frequently encounter in our daily lives. Illustrations of square shapes that are frequently used include chess pieces, clock hands, picture frames, pizza boxes, coasters, computer keys, etc.

In the bathroom, Robert is paving the floor.

The area of each square-shaped tile is 120.5 square inches.

Area = side²

side = √Area

side = √120.5

side = 10.97 in

side = 11 in (approx)

The measurement that, in inches, comes closest toward the length equal of a square tile is: 11 in.

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The width of the rectangle cannot be negative, we discard the negative solution and conclude that the width of the rectangle is 4 inches.

What is Area of rectangle ?
Area of rectangle can be defined as product of length and breadth.

We know that the area of the rectangle is given by the function A(x) = x² + 8x, where x is the width of the rectangle. We also know that the area of the rectangle is 33 in². So we can set up the equation:

x² + 8x = 33

To solve for x, we can rearrange the equation and set it equal to zero:

x² + 8x - 33 = 0

We can now use the quadratic formula to solve for x:

[tex]x = (-b\±\sqrt{(b^2 - 4ac)}) / 2a[/tex]

where a = 1, b = 8, and c = -33. Substituting these values, we get:

[tex]x = (-8\±\sqrt{(8^2 - 4(1)(-33))}) / 2(1)[/tex]

[tex]x = (-8\± \sqrt{(256)}) / 2[/tex]

x = (-8 ± 16) / 2

So x = -12/2 or x = 4.

Therefore, the width of the rectangle cannot be negative, we discard the negative solution and conclude that the width of the rectangle is 4 inches.

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Answer:yes

Step-by-step explanation:

By converting the equation 3x - y = 7 in the slope-intercept form, the slope, and the intercept will be (A) m = 3, b = -7.

When you know the slope of the line to be investigated and the given point is also the y-intercept, you can utilize the slope-intercept formula, y = mx + b. (0, b).

The y value of the y-intercept point is denoted by the symbol b in the formula.

A line's slope and y-intercept are expressed in the following formula: y=mx+b.

The y-intercept, which is usually represented in coordinate form as (0,b), is the point where the line crosses the y-axis.

So, we have the equation:

3x - y = 7

After reading the above-given description about the slope-intercept form, we can tell that in the given equation:
m = 3, b = -7

Therefore, by converting the equation 3x - y = 7 in the slope-intercept form, the slope and the intercept will be (A) m = 3, b = -7.

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Complete question:
After 3x - y = 7 is put in slope-intercept form, the slope, and intercept are:

a m = 3, b = -7

b m = -3, b = 7

c m = -3, b = -7

d m = 3, b = 7

Answer:

Assuming "she" in the question is a typo and it should be "if", here's the solution:

If the population of a small town is 567, and it decreases at a rate of 1.5% per year, we can find the population after 20 years using the formula:

P = 567 * (1 - 0.015)^20

where P is the population after 20 years.

Simplifying this expression, we get:

P = 567 * 0.742 = 420.414

Rounding this to the nearest whole number, we get:

P ≈ 420

Therefore, after 20 years, the population of the small town would be approximately 420.

The interval which is function increasing and decreasing is  

A) x = -3.5 and x = -1.5.

What is function?

A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

Here we know that The slope determines if the function is an increasing linear function, a decreasing linear function, or a constant function. f(x)=mx+b is an increasing function if m>0. f(x)=mx+b is an decreasing function if m<0

Then according to the graph ,

The highest point = x=-3.5

The lowest point = x=-1.5

Then the interval which is function increasing and decreasing is  

A) x = -3.5 and x = -1.5.

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Answer:

How?

Step-by-step explanation:

The inequality Kailyn can use to ensure that she completes at least 25 minutes of Mindplay each day over 4 days to complete a total of 100 minutes is x ≥ 25.

What is inequality ?

An inequality is a mathematical statement that compares two values or expressions using an inequality symbol such as < (less than), > (greater than), ≤ (less than or equal to), or ≥ (greater than or equal to).

To split the 100 minutes evenly over 4 days, Kailyn would need to complete at least 25 minutes each day.

To express this mathematically as an inequality, you can use the greater than or equal to symbol (≥) to indicate that Kailyn must complete at least 25 minutes each day:

Let x be the number of minutes Kailyn completes each day. Then the inequality would be:

x ≥ 25

This means that Kailyn must complete at least 25 minutes of Mindplay each day to ensure that she completes all 100 minutes in the given 4 days.

Therefore, the inequality Kailyn can use to ensure that she completes at least 25 minutes of Mindplay each day over 4 days to complete a total of 100 minutes is x ≥ 25.

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The sale price per sheet in this example is $12.60.

What is the discount?

A discount is a reduction in the price of a product or service that is offered by a seller to a buyer. It is a form of incentive that is used to encourage customers to purchase goods or services, often by making them more affordable or attractive.

To compare the two deals, we need to calculate the sale price per sheet for each deal.

In the previous example, the sale price per sheet was $15.00 after a 20% discount off the regular price of $18.00.

In this example, the sale price per sheet is 30% off the regular price of $18.00, so we can calculate the sale price per sheet as:

Sale price per sheet = Regular price per sheet - Discount amount

Sale price per sheet = $18.00 - (30% x $18.00)

Sale price per sheet = $18.00 - $5.40

Sale price per sheet = $12.60

Comparing the two deals, we can see that the sale price per sheet in this example is lower than the sale price per sheet in the previous example. Therefore, the better deal is the 30% discount off the regular price of $18.00, which results in a sale price per sheet of $12.60.

Therefore, the sale price per sheet in this example is $12.60.

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Answer: C

Step-by-step explanation: is closer to 5000

Answer:

The volume of the ice cream scoop is less than the volume of the cone. So, when the ice cream melts, it will fit in the cone without overflowing.

We know that 50% of the data falls between the minimum value and the median (i.e., between 5 and 35). So the answer is: 50%.

The median is a useful measure of central tendency in datasets that are skewed or have outliers, as it is less sensitive to extreme values than the mean. It is also useful in datasets with non-numeric values, such as rankings or survey responses. In addition to the median, other measures of central tendency include the mean and mode. Each measure has its own strengths and weaknesses, and the appropriate measure to use depends on the nature of the dataset and the research question being asked.

To answer this question, we need to determine the position of the lower whisker and the vertical bar relative to the range of the data.

The lower whisker extends to 5, which is the minimum value in the dataset. The vertical bar inside the box is located at 35, which represents the median of the dataset.

Therefore, we know that 50% of the data falls between the minimum value and the median (i.e., between 5 and 35).

So the answer is: 50%.

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Answer:

Below

Step-by-step explanation:

The diagonals  WY  and  XZ   are equal for a rectangle

14x+10 = 11x+ 22

3x = 12

x = 4

then use this value to calculate the length

  WY = 14 x + 10

         = 14 (4) + 10 = 66 units

Answer:

The base is XZ and the height is ZY.

The measure of base is: 3 Units

The measure of Height is: 3 Units

Step-by-step explanation:

The explaination is given in the pictures...

Answer:

the missing ratio is 12

Step-by-step explanation:

essentially all of these ratios should simplify to 3:4

The equation f(x) = (x - 2)² + 6 in the standard form will be f(x) = x² - 4x + 10.

What is  function in math ?

An expression, rule, or law in mathematics that specifies the relationship between an independent variable and a dependent variable (the dependent variable).

                         Mathematics is rife with functions, and the sciences depend on them for constructing physical relationships.

The function is given below.

f(x) = (x - 2)² + 6

Convert the equation into a standard form. Then we have

f(x) = (x - 2)² + 6

f(x) = x² - 4x + 4 + 6

f(x) = x² - 4x + 10

The equation f(x) = (x - 2)² + 6 in the standard form will be f(x) = x² - 4x + 10.

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Answer:

in image...

if it helped please mark me a brainliest :))

Therefore, the angle between vector A and the positive e axis (which is the positive x-axis) is 60.255°.

To find the angle between vector A = (25 m)i + (45 m)j and the positive e axis, we first need to find the direction of vector A.

We can find the direction of vector A by taking the arctangent of the y-component over the x-component of the vector:

θ = tan⁻¹ (y/x)

where θ is the angle between the vector and the positive x-axis.

In this case, the y-component of vector A is 45 m and the x-component is 25 m:

θ = tan⁻¹ (45/25) = 60.255°

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The transformation below would map the polygon A to the polygon B is

Polygon A have translated to the right and reflected vertically.

A translation is a type of transformation that takes each point in a figure and slides it the same distance in the same direction.

We have two polygon as A and B.

As, 90° clockwise rotation: (x, y) becomes (y,-x) 90° counterclockwise rotation: (x, y) becomes (-y, x).

But there is no change in the coordinate as such rule so rotation is not possible.

As we can see the figure Polygon A have translated to the right and reflected vertically.

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Answer: Polygon A has been reflected horizontally and reflected vertically

Step-by-step explanation: I took the quiz and it was the right answer

Answer: 5

Step-by-step explanation:

Use the Formula d = √((x2 - x1)2 + (y2 - y1)2)

Find the difference between coordinates:

(x2 - x1) = (-3 - 0) = -3

(y2 - y1) = (-2 - 2) = -4

Square the results and sum them up:

(-3)2 + (-4)2 = 9 + 16 = 25

Now Find the square root and that's your result:

Exact solution: √25 = 5

Approximate solution: 5

Answer:

300 feet

Step-by-step explanation:

A square has 4 equal sides and the area of a square is length x length which is also the square of the length i.e 10²

So one of the square's area = 10 x 10

=100

So the three squares have a square of 100 +100+100

300² feet