What is the volume of a sphere with a radius of 49.5 in, rounded to the nearest tenth of a cubic inch?

Answer:

Step-by-step explanation:

9) 9xt

10) r-10

Answer: Sum = 5000005, Difference = 4999995

Explanation:

Number = 35086941

Place value = 5000000

Face value = 5

Sum = 5000000 + 5

= 5000005

Difference = 5000000 - 5

= 4999995

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Step-by-step explanation:

1) 250 n(tnc)

2) 100

this your answer

0.7% percent is the answer

Answer:

23

Step-by-step explanation:

[tex]2 y + 7[/tex]

Replace y with 8

[tex]= 2 (8) + 7\\= 16+ 7\\= 23[/tex]

Therefore, the value of the expression when y=8 is 23.

I hope this helps!

Answer:

5.7 meters

Step-by-step explanation:

Image a rectangle being cut diagonally in half, that would lead to two triangles. We can use the pythagorean theorem to find the missing side.

7 is the hypotenuse and 4 is the side length

4^2+x^2=7^2

16+x^2=49

sqrx=sqr(49-16)

x=sqr33

x=5.74

Rounded to the nearest tenth is 5.7

Answer:

V / ( pi r^2)  = h

Step-by-step explanation:

V = pi r^2 h

Divide each side by pi r^2

V / ( pi r^2)  = pi r^2 h / pi r^2

V / ( pi r^2)  = h

Answer:

Let n be the number.

So, 3 times n is 3n.

And reduced by 5 is -5.

So the answer is 3n-5.

Let me know if this helps!

Answer:

2x^2 -1

Step-by-step explanation:

f(x)=2x^2+3

g(x)=x-4

g(f(x))

Replace x in g(x) with the function f(x)

g(f(x)) = 2x^2+3 -4

Combine like terms

         =2x^2 -1

Answer:

1.53x10^8

Step-by-step explanation:

3.4 x 4.5 = 15.3 = 1.53x10

10^4 x 10^3 = 10^7

1.53x10x10^7 = 1.53x10^8

The two expressions are not equivalent because one of the the rule of exponents is that when the bases of the exponents are the same (in this case, they're all x) then you can add the powers. Thus, the alternative expression should be x^(3+3+3).

Answer:

mean = 10

Step-by-step explanation:

The mean is calculated as

mean = [tex]\frac{sum}{count}[/tex]

         = [tex]\frac{6+7+10+12+12+13}{6}[/tex]

        = [tex]\frac{60}{6}[/tex]

       = 10

Answer:

f (x) = x2 - 3x + 2

Step-by-step explanation:

Answer:

f(x)=-3x+2

Step-by-step explanation:

The first one is a quadtratic function because it is in quadtratic form.

The second one is also not linear because it looks like a squiggly line. Sorry I forgot what they are called but I know it is not linear.

That leaves the last one is is linear and should be going down because there is a negative in front of the coefficient. It also has so exponent to prove why it is linear even further.

Hope this helps!

Answer:I think its not similar

Step-by-step explanation:

they dnot look the same

Answer: B

Step-by-step explanation:

You can see that the length of the sides from abc are factored by 1/3 to get the length of xyz. Therefore, the scale factor is 1/3.

Answer:

50°

Step-by-step explanation:

The total measurement of the sum of the interior angles is 360.

It is given that two of the angles has a measurement of 110. The third angle has a measurement of 90. Let the unknown measurement angle = x. Set the equation:

110 + 110 + 90 + x = 360

Combine like terms:

(110 + 110 + 90) + x = 360

310 + x = 360

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Subtract 310 from both sides:

310 (-310) + x = 360 (-310)

x = 360 - 310

x = 50

50° is the measurement of the remaining angle.

Answer:

Step-by-step explanation:

The easier way to figure this is by using the concept of torque in physics. If the torque of the man is greater than that experienced by the box, the lever will tilt in the man's favor (in other words, he will move down and the box will be lifted). Torque is found by multiplying the perpendicular force by the length of the lever arm. Because we want the man's torque to be greater than the box's torque, the inequality is:

[tex]\tau_{man}>\tau_{box}[/tex] and

[tex]180r>500(.1524)[/tex] That decimal is 6 inches in terms of meters.

180r > 76.2 so

r > .42 meters or `16.67 inches. The man has to sit at a distance greater than 16.67 inches in order for the box to be lifted by the lever.

Answer:

false

Step-by-step explanation:

it would be in the first quadrant

Answer:

False

Step-by-step explanation:

The real part is positive and the imaginary part is positive which put is in the first quadrant

Answer:

A 14.2 ounce bottle costs $3.98 is the better buy

Step-by-step explanation:

Find the price per ounce for each

A 14.2 ounce bottle costs $3.98

3.98 /14.2 =.28028169 = .28 per ounce

A 33.9 ounce bottle costs $9.98

9.98/33.9 =.29439528 = .29 per ounce

Answer:

68

Step-by-step explanation:

17x8 = 136

136/2 = 68

Answer:

Center: (9,3)

Radius: 9 units

Step-by-step explanation:

[tex]x^{2} -y^{2} -18x-6y+9=0[/tex]

[tex]x^{2} -18x+81+y^{2} -6y+9=-9+81+9[/tex]

[tex](x-9)^{2} +(y-3)^{2} =81[/tex]

Center: (9,3)

[tex]r^{2} =81[/tex] → [tex]r=9[/tex]

Radius : 9 units

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a(2x + 3) = 10x + 15

For what value of a does 2x + 3 = 10x + 15?

2x + 3 = 5( 2x + 3)

a=5

Answer: x=-3

Step-by-step explanation:

2(x)-39=5(x+2x)

2x-39=5(3x)

2x-39=15x

-39=13x

-39/13=-3

Answer: 5x and -4x

Step-by-step explanation:

= 5x + (-4x)

= 5x -4x

= +x

= 5x × (-4x)

= -20x²

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Answer:

4

plug in -1 for all the x's

3 + 2 + 7 = 12 (remeber that -1 *-1 = + 1 and that -2*-1 = + 2

-2+ 5 = + 3

12/3 = 4

Step-by-step explanation:

The best value for each of the characteristics of the parabola are presented in the following table;

The table of best values of parabola characteristics

[tex]\begin{array}{lcccc}\mathbf{Characteristic&\mathbf{r}&\mathbf{ (\pi \cdot r)}&(2 \cdot \pi \cdot \mathbf{r})& ( \pi \cdot \mathbf{r^2})\\\\\mathbf{Base \ of \ parallelogram} & &\checkmark &&\\\\\mathbf{Height \ of \ parallelogram}& \checkmark &&&\\\\\mathbf{Area \ of \ parallelogram}&&&&\checkmark \end{array}}[/tex]

The process of obtaining the above values is shown as follows;

The given parameters are;

To justify the area of a circle, the argument Yvonne wants to use = The dissection argument

The shape to which the reassembled figure tends to approximate = A parallelogram

Description of the of the reassembled figure

The horizontal parallel sides of the parallelogram formed = The arcs of the circle

The other pair of parallel sides = The radius of the circle

The best values of the characteristics of the parallelogram given in the table are therefore found as follows;

(a) The base of the parallelogram = (1/2) the total sum of the arcs in a circle = (1/2) the circumference of the circle = π·r

∴ The base of the parallelogram = π·r

(b) The height of the parallelogram = The perpendicular distance from the tip of one of the sectors to the midpoint of the arc of the sector = The radius of the circle = r

∴ The height of the parallelogram = r

(c) The area of the parallelogram, A = The sum of the area of the sectors

A = (n × θ/360) × π·r²

Where;

n × θ = 360°

Therefore;

A = (n × θ/360) × π·r² = (360/360) × π·r² = π·r²

We have;

The area of the parallelogram, A = π·r²

The table showing the best value of each characteristics of the parallelogram is therefore presented as follows;

[tex]\begin{array}{lcccc}\mathbf{Characteristic&\mathbf{r}&\mathbf{ (\pi \cdot r)}&(2 \cdot \pi \cdot \mathbf{r})& ( \pi \cdot \mathbf{r^2})\\\\\mathbf{Base \ of \ parallelogram} & &\checkmark &&\\\\\mathbf{Height \ of \ parallelogram}& \checkmark &&&\\\\\mathbf{Area \ of \ parallelogram}&&&&\checkmark \end{array}}[/tex]

Learn more about geometric figures (circles, and parallelogram) here;

https://brainly.com/question/16663192

https://brainly.com/question/24054192

Answer: 16 meters in total, even tho it seems they didn’t move at all

Step-by-step explanation:

Answer:

16 meters

Step-by-step explanation:

Down 8 meters is a distance of 8m

Up 8 meters is a distance of 8m

8m+8m = 16 meters total