(x + 3) - [(x+ 2)(x2 - 1)]

The volume of the cube not filled by the sphere is 3811.209. Option A is the correct.

The term “volume” refers to the amount of three-dimensional space taken up by an item or a closed surface. It is denoted by V and its SI unit is in cubic m.

The volume of sphere is found as;;

[tex]\rm V_{sphere}= \frac{4}{3} \pi r^3 \\\\ V_{sphere}= \frac{4}{3} \times 3.14 (10)^3 \\\\ V_{sphere}= 4188.79 \ cm^3[/tex]

The volume of cube is found as;

Volume of cube = Length x width x height

Volume of cube =20 x 20 x 20

Volume of cube = 8000

The volume of the cube not filled by the sphere is found by subtract the volume of the cube by the volume of the sphere.

V=8000 - 4188.790205

V = 3811.209

The volume of the cube not filled by the sphere is 3811.209.

Hence, option A is the correct.

To learn more about the volume, refer to the link;

https://brainly.com/question/13338592

#SPJ2

Answer: B

Step-by-step explanation:

Answer:

1.2mph

5x10=50

so it 1

if 2x5=10=.2

then 2x5=10+50=1.2 due to the .1=5

or just do 60/50=1.2

Step-by-step explanation:

Answer:

60 inches

Step-by-step explanation:

The length of shorter piece is = 1/5 × 300 = 60 inches

Answer:

C) $160,500

Step-by-step explanation:

52,500×15=787,500

63,200×15=948,000

948,000- 787,500= 160,500

Answer:

Amplitude is the distance between the center line of the function and the top or bottom of the function, and the period is the distance between two peaks of the graph, or the distance it takes for the entire graph to repeat. Using this equation: Amplitude =APeriod =2πBHorizontal shift to the left =CVertical shift =D.

Answer:

Volume of a cylinder = πr²h

Given

V=81π

r=3

find h

Making h the subject

h= V/πr² = 81π/π(3)²

h= 81/9

h= 9cm

Solution given.

Volume of rectangular prism=2400cm³

area of base*height=2400cm³

For A

satisfied for all

for B

not satisfied for all

for C

not satisfied for all

for D.

not satisfied for all

Option A.is your answer.

Answer:

I believe the answer is 8.16 pardon me if it's wrong.

Answer:

8.18

Step-by-step explanation:

First, note that 8.175 has two parts. The integer part to the left of the decimal point and the fractional part to the right of the decimal point:

Integer Part: 8

Fractional Part: 175

To round 8.175 to the nearest hundredth means to round the numbers so you only have two digits in the fractional part.

We use the following rules to round 8.175 to the nearest hundredth:

A) If the last digit in the fractional part of 8.175 is less than 5, then simply remove the last the digit of the fractional part.

B) If the last digit in the fractional part of 8.175 is 5 or more and the second digit in the fractional part is less than 9, then add 1 to the second digit of the fractional part and remove the third digit.

C) If the last digit in the fractional part of 8.175 is 5 or more and the second digit in the fractional part is 9, and the first digit in the fractional part is less than 9, then add 1 to the first digit in fractional part and make the second digit in fractional part 0. Then remove the third digit.

D) If the last digit in the fractional part of 8.175 is 5 or more and the second digit in the fractional part is 9, and the first digit in the fractional part is 9, then add 1 to the integer part and make the fractional part 00.

With 8.175, rule B applies and 8.175 rounded to the nearest hundredth is:

8.18

Answer:

1/5 or 20%

All sectors have an equal area, so that means that all have an equal chance of being landed on. There is only 1 sector containing a ladybug out of all 5 sectors. That means you have a 1 out of 5 chances of landing on the ladybug if you spin once.

Answer:

B

Step-by-step explanation:

The standard form of a circle equation is:

(x - h)^2 + (y - k)^2 = r^2

where (h, k) is the center and r is the radius.

We can plug in the given values to get:

(x - 1)^2 + (y - 2)^2 = 3^2

This is the sam as option B

Answer:

x = 54, y = 63

Step-by-step explanation:

117° and the left base angle are adjacent and sum to 180°

base + 117° = 180° ( subtract 117° from both sides )

base = 63°

Since the triangle is isosceles ( congruent legs ) then the 2 base angles are congruent , so y = 63

and x = 180 - (63 + 63) ← sum of angles in a triangle

x = 180 - 126 = 54

Answer:

The answer is option A) r and s

Answer:

y=90

Step-by-step explanation:

Add both numbers

110 + 70=180

divide by 2

180 ÷ 2 = 90

Answer:

y=90

hope that helps

60 jdfjbdjdjdjd ah inebauwkwhiwiwnais

Answer:

60

Step-by-step explanation:

Answer:

1200

Step-by-step explanation:

Step 1 convert pounds to ounces

1 pound = 16 ounces

So to convert pounds to ounces we multiply by 16

1500 * 16 = 24000

So there are 24000 ounces in 1500 pounds

Step 2 Find how many 20 ounce containers he can fill.

To find out how many 20 ounce containers he can fill we divide the total amount of ounces of butter that he has by 20

So answer = 24000/20

24000 / 20 = 1200

Therefore he can fill 1200 20 - ounce containers

Answer:

39

Step-by-step explanation:

78/2 = 39

Answer:

[tex]y = \frac{11}{8}x + 50[/tex]

Step-by-step explanation:

Given

See attachment for plot

Required

The line of best fit

From the attached plot, we have:

[tex](x_1,y_1) = (0,50)[/tex]

[tex](x_2,y_2) = (80,160)[/tex]

Calculate the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 -x_1}[/tex]

So, we have:

[tex]m = \frac{160 - 50}{80-0}[/tex]

[tex]m = \frac{110}{80}[/tex]

[tex]m = \frac{11}{8}[/tex]

The line of best fit is then calculated as:

[tex]y = m(x - x_1) + y_1[/tex]

This gives:

[tex]y = \frac{11}{8}(x - 0) + 50[/tex]

[tex]y = \frac{11}{8}x + 50[/tex]

Answer:

The electricity bill will be about $200 when the average temperature reaches 100°F.

Answer:

X=12

Step-by-step explanation:

Khan Academy

Answer:

There are 6 boxes

Step-by-step explanation:

We know there are 45 frames and 3 broken ones, so there are 48 frames in total.

We know there are 8 boxes that have the frames.

let x equal the amount of picture frames in a box

8x=48

8x/8 = 48/8

x=6

Answer:

id say the mean

Step-by-step explanation:

Answer: Mean

Step-by-step explanation: It's the average value.

Answer:

If 5 is zero then (x - 5) is a factor.

Only 4. has this factor.

Step-by-step explanation:

Answer:

24 students

Step-by-step explanation:

2/5 = x/60 ----->   24/60 = x/60  --->   24/60 = 24/60

Answer:

Step-by-step explanation:

Notice that both sides involve 7a - 2a, and both involve 4.  By the associative property the order in which the addends appear is immaterial; the left side therefore equals the right side.

Answer:

7a + 4 - 2a = 7a - 2a + 4

5a + 4 = 5a + 4

Step-by-step explanation:

7a + 4 - 2a = 7a - 2a + 4

​7a + 4 - 2a

Rearrange the terms.

7a - 2a + 4

Combine like terms.

5a + 4

The left side simplifies to 5a + 4.

7a - 2a + 4

5a + 4

The right side also simplifies to 5a + 4.

Answer:

The equation for the speed of the train is: 162 = 3x

I think the speed of the train is 54 miles per hour

Step-by-step explanation:

We know that:

y = distance in miles

x = speed of train (miles/hour)

t = time traveled from the departing station (hours)

The equation: y = xt is given, we can therefore substitute the give values:

y = xt or tx

162 = 3x (This would be the equation)

Now we can find x by diving 3 on both sides of "="

162/3 = x

54 = x (This would be the speed of train)

Hope this helps!

Answer:

B is your answer for your math problem

Answer:

48pq².

Step-by-step explanation:

(4pq+3q)² - (4pq - 3q)²​

This is the difference of 2 squares so we can use the identity

a^2 - b^2 = (a - b)(a + b):

(4pq+3q)² - (4pq - 3q)²​

= (4pq + 3q - (4pq - 3q)(4pq + 3q + (4pq - 3q)

= (4pq + 3q - 4pq + 3q)(4pq + 3q + 4pq - 3q)

= 6q * 8pq

= 48pq².

Answer:

48pq²

Step-by-step explanation:

As we know,

(a + b)² = a² + 2ab + b²

and

(a – b)² = a² – 2ab + b²

So,

(4pq+3q)² - (4pq - 3q)²​

= [(4pq)² + 2 X 4pq² X 3q + (3q)²] – [(4pq)² -  2 X 4pq² X 3q + (3q)²]

= (16p²q² + 24pq²+ 9q²) – (16p²q² – 24pq²+ 9q²)

= 16p²q²+ 24pq²+ 9q² – 16p²q²+ 24pq² – 9q²

= 24pq² + 24pq²

= 48pq²

Answer: A goverment by people

Step-by-step explanation: