Find the volume of a sphere with a diameter 40 cm in length. Approximate pi as 3.14 and round your answer to the nearest tenth. A. 5,026.5 cm3 B. 33,493.3 cm3 C. 42,090.0 cm3 D. 268,082.6 cm3

Step-by-step explanation:

2w+6w=80

w=10

l=30

To find the length and width of the rectangle, we can set up an equation using the perimeter formula. Solving the equation will give us the values of the width and length.

Let's start by assigning variables to represent the length and width of the rectangle. Let's say the width is 'w' cm, so the length would be '3w' cm according to the information given.

The perimeter of a rectangle is given by the formula: P = 2(L + W), where P represents the perimeter, L represents the length, and W represents the width.

Substituting the given values into the formula, we can set up the following equation: 80 = 2(3w + w). Solving this equation will give us the value of 'w', which corresponds to the width of the rectangle. Once we have 'w', we can find the length by multiplying it by 3.

By solving the equation, we find that the width of the rectangle is 10 cm and the length is 30 cm.

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The phrase commonly associated with division is 'the quotient of two numbers', highlighting it as the result of dividing one number by another.

The phrase usually associated with division is the quotient of two numbers. To give a brief explanation, division is the process of determining how many times one number is contained within another. This process results in the 'quotient'. For example, if we divide 10 by 2, we are essentially asking how many times 2 goes into 10, which would be 5 times. This result (5) is the quotient.

Another important aspect of division is that it is intimately connected to multiplication, as they are essentially inverse operations. Dividing by a number is the same as multiplying by its reciprocal. When working with scientific notation or complex numbers, the principles of division require additional rules, but the underlying concept of finding a quotient remains the same.

"Given expression: [tex]\( b(-3) \cdot (2a+b) - 4(b-a) \)[/tex] simplifies to[tex]\( -6ab - 3b^2 - 4b + 4a \)[/tex]after distributing and combining like terms."

let's simplify the expression step by step:

Given expression: [tex]\( b(-3) \cdot (2a+b) - 4(b-a) \)[/tex]

Step 1: Distribute the[tex]\( b(-3) \) and \( -4 \)[/tex] across their respective terms:

[tex]\( -3b \cdot (2a+b) - 4b + 4a \)[/tex]

Step 2: Distribute [tex]\( -3b \) across \( (2a+b) \)[/tex] using the distributive property:

[tex]\( -6ab - 3b^2 - 4b + 4a \)[/tex]

Step 3: Combine like terms. We have[tex]\( -3b^2 \) and \( -4b \)[/tex] as like terms:

[tex]\( -6ab - 3b^2 - 4b + 4a \)[/tex] can be rewritten as [tex]\( -6ab - 3b^2 - 4b + 4a \)[/tex]

So, the simplified expression is: [tex]\( -6ab - 3b^2 - 4b + 4a \)[/tex]

Answer:

{2, 52}

Step-by-step explanation:

Actually, there are two answers, not just one.

Let the numbers be x and y.  

Then their sum is x + y and equals 52.

Their product is xy and equals 100.

We need to solve this system of equations for both x and y.

Solving x + y = 52 for x, we get x = 52 - y.

Substituting this result into the other equation, we get:

(52 - y)y = 100

This is a quadratic equation:  52y - y² = 100, or

-y² + 52y - 100 = 0.

Alternatively, y² - 52y + 100 = 0

Let's solve this quadratic by "completing the square."

First, identify the coefficient of the y term.  It is -52.  Take half of that, obtaining -26, square this result, obtaining 676.  Add 676 to y² - 52y, and then subtract 676 from the result:

y² - 52y + 676 - 676 + 100 = 0.

Then (y -26)² = 576.

Taking the square root of both sides, we get:

y - 26 = ± 24, or:

y = 24 + 26 = 50, and also:

y = -24 + 26 = 2

Note that 2(50) = 100, as it must, and that

2 + 50 = 52 (also correct).

The two-part answer is {2, 52}.

The numbers are 2, and 50 if the sum of two numbers is 52. Their product is 100.

Any equation of the form [tex]\rm ax^2+bx+c=0[/tex] where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

As we know, the formula for the roots of the quadratic equation is given by:

[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]

Let x be the number the second number will be (52-x)

Their product is 100

x(52-x) = 100

52x - x² = 100

- x² + 52x - 100 = 0

After solving the quadratic equation:

x = 2, x = 50

Thus, the numbers are 2, and 50 if the sum of two numbers is 52. Their product is 100.

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Answer:   c) 12

Step-by-step explanation:

[tex]\sqrt{2x+1}-4=1\\\\\sqrt{2x+1}=5\\\\(\sqrt{2x+1})^2=(5)^2\\\\2x+1=25\\\\2x=24\\\\\boxed{x=12}[/tex]

It will be 12 probably

Answer:

15 ft.

Step-by-step explanation:

If you divide the length of the drawing by the length of the real one you will find the scale factor. Every one cm in the drawing is 15 ft. in the real one.

One centimeter on the scale drawing represents approximately 0.03281 feet of the actual parking lot.

To find out how many feet of the parking lot are represented by 1 centimeter on the scale drawing, we need to use the conversion factor between centimeters and feet. Since 1 centimeter is equal to 0.01 meters (1 cm = 0.01 m) and 1 meter is equal to 3.281 feet (1 m = 3.281 ft), we can multiply the conversion factors together: 0.01 m * 3.281 ft/m = 0.03281 ft.

So, 1 centimeter on the scale drawing represents approximately 0.03281 feet of the actual parking lot.

The answer is 0.03.

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Answer:45

Step-by-step explanation:

➷ We can use that statement to form an equation:

2w - 7 = 8

Now we need to solve for w

Add 7 to both sides:

2w = 15

Divide both sides by 2:

w = 7.5

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

Answer:

15/2

Step-by-step explanation:

"7 less than the product of 2 and a number" comes out to 2w - 7.

This quantity equals 8:

2w - 7 = 8.

Adding 7 to both sides isolates 2w:

2w = 15

Dividing both sides by 2 yields

w = 15/2

Answer:

6

Step-by-step explanation:

The equation reads "6 is less than or equal to x."

That means that x must be greater than or equal to 6.

The only value of the choices that makes the inequality true is 6.

Answer:

6

Step-by-step explanation:

do it on your own too to check!!

1. pick a number

2. replace it in the equation

3. see if  it makes sense

Hope this helped!!! :D

Answer:

x^6/27y^12

Step-by-step explanation:

(3. 1?x^2 y^4)^3

(3y^4/x^2)^3

witch you get x^6/27y^12

hope i helped

Answer:

1/3 or letter c

Step-by-step explanation:

The spot of 1/3 in the equation f(x) = -2/3x + 1/3 is the same spot of b in the equation y = mx + b.

The correct value of y-intercept of the function f(x) = -2/3x + 1/3 is (0, 1/3).

To find the y-intercept of a function, you set x equal to zero and solve for y.

In the given function, f(x) = -2/3x + 1/3, we can find the y-intercept by substituting x = 0 into the equation:

f(0) = -2/3(0) + 1/3

f(0) = 0 + 1/3

f(0) = 1/3

Therefore, the y-intercept of the function f(x) = -2/3x + 1/3 is (0, 1/3).

The y-intercept of a function represents the point where the graph intersects the y-axis. To find the y-intercept, we set the value of x to zero and solve for the corresponding value of y.

In the given function f(x) = -2/3x + 1/3, we substitute x = 0:

f(0) = -2/3(0) + 1/3

Since any term multiplied by zero is zero, the first term becomes zero:

f(0) = 0 + 1/3

Adding 0 to any value doesn't change its value, so we are left with:

f(0) = 1/3

Therefore, the y-intercept of the function f(x) = -2/3x + 1/3 is (0, 1/3). This means that the graph of the function crosses the y-axis at the point (0, 1/3), where y equals 1/3.

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Answer: C≈6.28

Step-by-step explanation:

C=2π r=2· π ·1≈6.28319

Therefor, the answer is 6.28

* hopefully this helps:)Mark me the brainliest:)

Answer:

C = 2pi

C ≈ 6.28

Step-by-step explanation:

The circumference of a circle is given by

C = 2 * pi*r

C = 2 * pi *1

C = 2 * pi

Using 3.14 as an approximation for pi

C = 2*3.14

C = 6.28

Answer:

option C)

1/81

Step-by-step explanation:

Given in the question an expression,

[tex]9^{-2}[/tex]

Apply negative exponent rule which says

[tex]x^{-n} = \frac{1}{x^{n} }[/tex]

So,

[tex]9^{-2} = \frac{1}{9^{2} }[/tex]

As we know that 9² = 9x9 = 81

= [tex]\frac{1}{9x9}[/tex]

= [tex]\frac{1}{81}[/tex]

So, the expression 9^-2 = 1/81

Answer:

c

Step-by-step explanation:

did it on edge

its 4.5 inches on e2020

Answer:

4.5 inches

Step-by-step explanation:

12/1/20. its correct

Answer:

Step-by-step explanation:

Area of the figure = Area of triangle + Area of the Rectangle

Area of Triangle = 1/2 * b * h

                           = 1/2 * (12-6) * (15-9)

                           = 1/2 * 6 * 6 = 18 cm²

Area of the Rectangle = l * b

                                     = 12 * 9 = 108 cm²

Area of figure = 18 cm² + 108 cm² =126 cm²

divide by 5 on both sides and get -3

The required solution to the given inequality 5t ≤  –15 is t ≤  –5 which represents the value of t lying less than or equal to negative five.

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers is not equal.

The inequality is given in the question following as:

⇒ 5t ≤  –15

We have to determine the solution to the given inequality 5t ≤  –15.

As per the given question, the required solution would be as:

⇒ 5t ≤  –15

Divide by 5 into both sides in the above inequality

⇒ 5t/5 ≤  –15/5

Apply the division operation to get the solution

⇒ t ≤  –5

The above inequality represents the value of t lying less than or equal to negative five.

Therefore, the required solution to the given inequality 5t ≤  –15 is t ≤  –5.

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a c and d

because they are actual angles, others are pretending numbers

24/6  

24 can be divided by 6. 6 * 4 = 24.

24/6 = 4/1 = 4

It's pretty cool, honestly.

Answer:

X = 2.4 $

Step-by-step explanation:

If

12 apples ---> 3.6 $

8 apples ----> X?

X = [8*3.6] / 12

X = 2.4 $

Best regards

Answer:

$2.40

Step-by-step explanation:

If you change the decimal, the number is 360 but we can ignore the 0. 36 divided by 12 is 3. So we know that 1 apple costs $3. And, 8 multiplied by 3 is 24 adding the decimal, the answer is 2.40.

Answer:

The answer is x^2+9x+8

Step-by-step explanation:

Use the foil method then combine like terms and it will already be in standard form.

Steps:

(x+1) (x+8)

x^2 + 8x + x + 8

x^2 + 9x + 8

Final answer:

To find the polynomial in standard form for (x + 1) (x + 8), multiply each term in the first binomial by each term in the second and combine like terms to get x² + 9x + 8.

Explanation:

The equation (x + 1) (x + 8) can be expanded by using the distributive property, also known as the FOIL method (First, Outer, Inner, Last), which is used to multiply two binomials. To simplify (x + 1) (x + 8), we multiply each term in the first binomial by each term in the second binomial:

Multiply the First terms: x * x = x²

Multiply the Outer terms: x * 8 = 8x

Multiply the Inner terms: 1 * x = x

Multiply the Last terms: 1 * 8 = 8

Now, we combine the like terms (8x and x):

x² + 8x + x + 8

x² + 9x + 8

The resulting expression is a polynomial in standard form. Therefore, the expanded form of (x + 1) (x + 8) is x² + 9x + 8.

Answer:

The system  that represent the scenario is

[tex]x+y\leq500[/tex]

[tex]215x+615y\leq 187,500[/tex]

The solution in the attached figure

Step-by-step explanation:

Let

x-----> the acres of corn

y----> the acres of cotton

we know that

[tex]x+y\leq500[/tex] ------> inequality A

[tex]215x+615y\leq 187,500[/tex] -----> inequality B

using a graphing tool

the solution is the shaded area in the attached figure

Please elaborate the question

The evaluation of the numeric expression is:

2 1 4 · 9 5  = 20330

A numeric expression is a mathematical statement that involves only numbers and one or more operation symbols.

Examples of operation symbols are addition, subtraction, multiplication and division. It can also be expressed in the radical symbol (the square root symbol) or the absolute value symbol.

We can evaluate 2 1 4 · 9 5 as follow:

2 1 4 · 9 5 = 2 1 4 * 9 5

                = 20330

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Answer:

Step-by-step explanation:

x + 2 < 5           subtract 2 from both sides

x + 2 - 2 < 5 - 2

x < 3

x - 7 > -6        add 7 to both sides

x > 1

From x < 3 and x > 1 we have 1 < x < 3

Answer:

The difference between the area of the two circles is 15.7m

Step-by-step explanation:

I swear these be helping me with the CIEs coming up in May xD

Okay so the formula for a circle is [tex]\pi r^2[/tex]

The diameter is the double of the radius so

Cirlce A has a diameter of 4m so a radius of 2m

[tex]\pi 2^{2}[/tex]

[tex]\pi4[/tex]

[tex]12.57m[/tex]

Circle B has a diameter of 6m so a radius of 3m

[tex]\pi 3^2[/tex]

[tex]\pi 9[/tex]

[tex]28.27m[/tex]

To find the difference subtract 12.57 from 28.27

[tex]28.27-12.57\\=15.7[/tex]

The difference between the area of the two circles is 15.7m

Hope this helps, if you still need help just comment :)

Answer:

See explanation

Step-by-step explanation:

1. To graph the inequality y<3x-4, you need to plot dotted line y=3x-4 and then shade the part that doesn't contain the origin, because 0<3·0-4 is false statement. This is red region on the coordinate plane below.

2. To graph the inequality y≥-1/2x+3, you need to plot solid line y=-1/2x+3 and then shade the part that doesn't contain the origin, because 0≥-1/2·0+3 is false statement. This is blue region on the coordinate plane below.

3. The common part of two regions is the solution of the system of two inequalities.

To graph the system of linear inequalities, start by graphing the lines y = 3x - 4 and y = -1/2x + 3 as dashed lines. Then, shade the correct regions based on the inequality signs and find the overlap to determine the solution.

The given system of linear inequalities is:

y < 3x - 4

y ≥ -1/2x + 3

To graph these inequalities, we can start by graphing the lines y = 3x - 4 and y = -1/2x + 3 as dashed lines, since they are not included in the solution region.

Next, we can shade the correct region based on the inequality signs. For y < 3x - 4, we shade below the line, and for y ≥ -1/2x + 3, we shade above the line. The overlap of the shaded regions represents the solution to the system of inequalities.

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Answer:

Choice 4

Step-by-step explanation:

The parent function is [tex]y=x^3.[/tex] The graph of the function

In your case, the graph of the function [tex]f(x)=x^3-5[/tex] is translated 5 units down graph of the function [tex]y=x^3.[/tex] This is choice 4

Graph 4 is the correct graph of f(x) - 5.

To find the graph of f(x) - 5, we can start by graphing the graph of f(x) and then shifting it down by 5 units.

The graph of f(x) is a cubic function, which means that it is a graph of the form y = ax³ + bx² + cx + d. To graph a cubic function, we can use the following steps:

Find the x-intercepts of the graph. The x-intercepts are the points where the graph crosses the x-axis. To find the x-intercepts, we set y = 0 and solve the equation for x.

Find the y-intercept of the graph. The y-intercept is the point where the graph crosses the y-axis. To find the y-intercept, we set x = 0 and solve the equation for y.

Find the end behavior of the graph. As x approaches positive or negative infinity, what does the value of y approach?

Plot the x-intercepts, y-intercept, and any other important points on the graph.

Connect the points with a smooth curve.

To graph the graph of f(x) - 5, we simply shift the graph of f(x) down by 5 units.

The description matches  graph 4.

The amount of air that escapes during the first minute is 0 cubic feet.

To find out how much air escapes during the first minute, we need to evaluate the integral as per calculus,  of the rate function R(t) over the interval [0,1]. The given rate function is R(t) = 60 / (1 + t^2). Integrating this function over the interval [0,1] gives us the amount of air that escapes during the first minute.

Integrating R(t) using the power rule, we get:

Therefore, the amount of air that escapes during the first minute is 0 cubic feet.

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Answer:

We need to see the other graph choices.  The line must go downhill since it's a negative slope (-x).  The line must cross at +2 on the y axis since 2 is the y intercept. Then from 2 you go down 1 box and to the right one box and put a point.  then draw the line

Step-by-step explanation:

Answer:

Answer in attachment

Step-by-step explanation:

Ok so we have f(x)=-x+2

It can be written as y=-x+2, Keep in mind that the standard form of a line equation is y=mx+c where m is the gradient and c is the y intercept

the slope in our equation is equal to 1

The y-intercept is equal to the point (0,2) ----> value of the function f(x) when the value of x is equal to zero

The x-intercept is equal to the point (2,0)----> value of x when the value of the function is equal to zero

See the attachment for the answer :)

Hope it helps :)