Find the volume of the composite figure below round your answer to the nearest whole number

Answer:  [tex]3x^4 / 2y^4[/tex]

Step-by-step explanation: [tex](3x7x^6y^5)divide(2x7x^2y^9)[/tex]    then [tex]x^6 divided by x^2 = x(^6 ^- ^2) = x^4[/tex]   then

[tex]y^5 divided by y^9 = y(^5 ^- ^9) = y(^-^4) = 1/y^4[/tex]  then

Canceling out  7  as it appears on both sides of the fraction line.

Hope this is clear and is helpful

The number of hours after which the cars will be 350 miles apart is 34 hours.

Speed is the ratio of distance and time.

It shows how fast an object is moving at a given time.

We have,

Vehicle 1.

Speed = 55.5 mph

Distance(1) = 55.5 x Time

Vehicle 2.

Speed = 45(1/4) mph

Distance(2) = 45(1/4) x Time

The difference in the distance = 350 miles.

Distance(1) - Distance(2) = 350

55.5 x Time - 45(1/4) x Time = 350

55.5 x Time - (181/4) x Time = 350

(55.5 - 181/4) x Time = 350

Time = 350 / (55.5 - 45.25)

Time = 350 / 10.25

Time = 34 hours.

Thus,

The car will be 350 miles apart after 34 hours.

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Answer:

45cm2

Step-by-step explanation:

My teacher reveiwed this problem after the test :)

-7 is the opposite of 7.

Simply adding a negative sign yields the negative number 7, which is the opposite of the positive number 7. 7 and 7 are the opposites of one another since they are both seven units apart from 0 on the number line.

The inverse of a number is the number on the other side of the 0 number line and at the same distance from 0. Oppositely positioned numbers on the number line. The opposite of an integer is its additive inverse. As a result, on a number line, the opposite of a number is the number that is located in the other direction from 0 but at the same distance from it.

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Answer:

12.

V. E=(1-a)(1+a)(1+a^2)(1+a^4)(1+a^8)

Step-by-step explanation:

1-a^16=(1-a^8)(1+a^8)

1-a^8=(1-a^4)(1+a^4)

1-a^4=(1-a^2)(1+a^2)

1-a^2=(1-a)(1+a)

1-a^16=(1-a)(1+a)(1+a^2)(1+a^4)(1+a^8)

Answer:

(6, 5 )

Step-by-step explanation:

3x + 2y = 28 → (1)

5x - 3y = 15 → (2)

multiplying (1) by 3 and (2) by 2 and adding the result will eliminate y

9x + 6y = 84 → (3)

10x - 6y = 30 → (4)

add (3) and (4) term by term to eliminate y

19x + 0 = 114

19x = 114 ( divide both sides by 19 )

x = 6

substitute x = 6 into either of the 2 equations and solve for y

substituting into (1)

3(6) + 2y = 28

18 + 2y = 28 ( subtract 18 from both sides )

2y = 10 ( divide both sides by 2 )

y = 5

solution is (6, 5 )

Answer:

3/7

Step-by-step explanation:

3 ponies + 3 goats = 6 total

8 rabbit + 6 sheep = 14 total

6/14 simplified is 3/7.

Answer:

-33

Step-by-step explanation:

Given algebraic expression:

[tex]5c-9c+3[/tex]

To simplify the given algebraic expression using c = 9, substitute the given value of "c" into the expression and solve:

[tex]\implies 5(9)-9(9)+3[/tex]

[tex]\implies 45-81+3[/tex]

[tex]\implies -36+3[/tex]

[tex]\implies -33[/tex]

Answer:

[tex] \sf \: 5c - 9c + 3 = - 33[/tex]

Step-by-step explanation:

Given information,

→ 5c - 9c + 3

→ where c = 9

Let's simplify the expression,

→ 5c - 9c + 3

→ 5(9) - 9(9) + 3

→ (5 × 9) - (9 × 9) + 3

→ 45 - 81 + 3

→ 45 - 78

→ -33 => final value

Hence, the final value is -33.

Answer:

0

Step-by-step explanation:

7-10=2+(-4+2)

-3=2+(-2)

-3=0

Answer:

The answer is 1/4.

I wish you good luck.

Answer: it's hard i thought i could do it but nope dang it

Consequently, the answer to the above fraction problem comes out to be 1/2 .

An element of a fraction or ratio is a piece of a whole. The number of equally sized pieces into which the whole has been divided is represented by the denominator b, and the number of parts that are included is represented by the numerator a. The LCM of two fractions' denominators is the least common multiple (LCD) of those denominators.

Here,

Given here is: (4√(2) - √(2)) × √(2) /  (2) (2) × √(18) (18)

The radical is then simplified in order to determine its value.

=> 3√(2) × √(2) / 2√(2) × 3√(2)

=> 3(2) / 6(2)

=> 3/6

=> 1/2 or 0.5

so,

after simplification, the answer is 1/2.

Consequently, the answer to the above fractional problem comes out to be 1/2 .

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Between the 100th and 400th kilometers, the average fuel consumption rate is 5/6 liters per kilometer.

A consequence of dividing the variation in a variable's function by the variation in the variable. For example The rate at which a distance changes in relation to time is known as velocity.

Given, Devin drove her truck. The fuel remaining in the truck's tank (in liters) as a function of distance (in kilometers) is graphed.

Since in the domain [100, 400] graph shows somewhat linear properties.

from the graph Fuel consumption at 100 = 375 liters

Fuel consumption at 400 = 125 liters

rate in a linear function between two points = (y₂ - y₁)/ (x₂ - x₁)

thus rate between [100, 400] = (375-125)/400-100

rate between [100, 400]  = 250/300

rate between [100, 400] = 5/6litere per kilometer

therefore, the average fuel consumption rate, between the 100th kilometer and 400th kilometer is 5/6 liters per kilometer.

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Answer:

d. a f

Step-by-step explanation:

i hope this helps :)

Answer:

D. A F

Step-by-step explanation:

It is a line all the way across the center of the circle (the definition of a diameter of a circle)

Answer:

x° = 48°

Step-by-step explanation:

In order to solve this, we need to know that the sum of all inner angles of the triangle is equal to 180°. Based on this diagram we know that...

180° = 90° + 42° + x°

From here we know that...

x° = 180° - 90° - 42°

x° = 48°

Answer:

106.8

Step-by-step explanation:

72 × 2 = 34

34 × 3.14 or

[tex]\pi[/tex]

106.76 round to the nearest tenth

= 106.8

After evaluating the value of 8 + w/4 = 12.

In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.When performing calculations but unsure of the precise amount, algebra is used.

Equations come in two varieties which are  identities and conditional equations. All possible values of the variables result in an identity. Only certain combinations of the variables' values make a conditional equation true.

as the details given,

the equation given is 8 + w/4

the value of w is 16

by placing the value of w in the given equation we get

=> 8 + 16/4

=> 8 + 4

=> 12

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Answer:

m=3.6

Step-by-step explanation:

Answer:I know why your father never came back

Step-by-step explanation: So when he got the milk he got stuck in traffic for a long time which caused the milk to expire and so he went back to grab new milk and on his way home he was stuck in traffic again and the milk got expired so he repeats the process and the same thing happens over and over and over, so hes stuck in an infinite loop until he passes away.

At least 30 of the households have 0 to 4 pets.

What is Chebyshev's theorem?

The minimum percentage of observations that are within a given range of standard deviations from the mean is calculated using Chebyshev's Theorem. Numerous other probability distributions can be applied to this theorem. Chebyshev's Inequality is another name for Chebyshev's Theorem.

Here,

we have a sample size of n = 40.

The mean number of pets per household is 2 and the standard deviation is 1.

We need to determine at least how many of the households have 0 to 4 pets.

By using Chebyshev’s inequality rule with k = 2(that is ) then,

= 100(1- (1/k²))%

= 100 (1- (1/2²))%

= 100 (1- (1/4))%

= 75%

The corresponding number of households is the percentage multiplied by the sample size.

= 75% × 40 = 30

Hence, at least 30 of the households have 0 to 4 pets.

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Answer:

-51

Step-by-step explanation:

hope it helps you! good luck!

Step-by-step explanation:

add up all of the numbers in the five groups then divide the numbers by the number of numbers you have for example if the sum of all of those numbers is let's a 25 and you have 5 numbers you'll divide 25 by 5 and your men will be 5:00 and if the sum of the numbers was 30 and you have six numbers you'll / 30by6 then your answer then the mean will be six

Answer:

I don't know which school you are asking for, so here are all of them, followed by the general mean of all the schools.

a: 1.7

b: 4.7

c: 3.9

d: 5.3

e: 4.5

gen: 4

Step-by-step explanation:

This is easiest to solve with a calculator.

When finding the mean, you need to add all the numbers together, then divide by how many numbers you added.

Let's say that you have the numbers 2, 5, and 8. You add them together to get 15, then divide 15 by 3. The mean is 5.

With your problem, the general mean of all 5 schools is 4.

Hope that this helps!

Answer:

41x² - 27x + 27

Step-by-step explanation:

Perimeter of Rectangle:

= 2(20x²-12x+4) + 2(5x²-5x+15)

= 40x²-24x+8 + 10x²-10x+30

= 50x²-34x+38

Perimeter of Triangle:

= 6x²+6x+3x+3+3x²-2x+8

= 9x²+7x+11

Difference:

(50x²-9x²)+(-34x+7x)+(38-11)

= 41x² - 27x + 27

Answer:

332.92 m

Step-by-step explanation:

A=πrl+πr2

Answer: [tex]54\ in.[/tex]

Step-by-step explanation:

Given

The volume of the toolbox is [tex]9072\ in.^3[/tex]

The height of the toolbox is [tex]h=14\ in.[/tex]

The width of the toolbox is [tex]w=1\ ft\ or\ 12\ in.[/tex]

Suppose the length of the box is [tex]l[/tex]

The volume of the toolbox is given by [tex]V=l\times w\times h[/tex]

Insert the value to find the length

[tex]\Rightarrow 9072=14\times 12\times l\\\\\Rightarrow l=\dfrac{9072}{168}\\\\\Rightarrow l=54\ in.[/tex]

The length of the box is [tex]54\ in.[/tex]

Answer:

45

Step-by-step explanation:

The equation y^ = -2.5x + 222.5 models the amount of cholesterol, LDL, for a person in mg/dl, where x is the time spent exercising per day in minutes.

What in mathematics is a quadratic equation?

Definitions: x ax2 + bx + c = 0 is a quadratic equation, which is a second-order polynomial equation in a single variable. a 0. It has at least one solution because it is a second-order polynomial equation, which is guaranteed by the algebraic fundamental theorem. The answer could be simple or complicated.

To find the amount of cholesterol for a person exercising 20 minutes a day, we need to substitute x = 20 into the equation:

y^ = -2.5(20) + 222.5

Solving this equation, we get:

y^ = -50 + 222.5

y^ = 172.5

So, the amount of cholesterol for a person exercising 20 minutes a day is 172.5 mg/dl.

Therefore, the answer is 172.5 mg/dl

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Answer:

I think the answer is 11.7 units rounded to nearest tenth

Step-by-step explanation:

d=(2−(−4))2+(−7−3)2−−−−−−−−−−−−−−−−−−−√

d=(6)2+(−10)2−−−−−−−−−−−√

d=36+100−−−−−−−√

d=1–√36

d=11.661904