A cube has an edge measuring 6 cm. Find its volume.

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Answer:

21

Step-by-step explanation:

It is given that y varies inversely with x.

[tex]y\propto \dfrac{1}{x}[/tex]

[tex]y=\dfrac{k}{x}[/tex]       ...(i)

where, k is constant of proportionality.

It is given that x=-3 when y=-105. Substitute these values in equation (i), to find the value of k.

[tex]-105=\dfrac{k}{-3}[/tex]

[tex]-105\times (-3)=k[/tex]

[tex]315=k[/tex]

Now,

[tex]y=\dfrac{315}{x}[/tex]

Substitute x=15 in the above equation.

[tex]y=\dfrac{315}{15}[/tex]

[tex]y=21[/tex]

Therefore, the value of y is 21 when x=15.

Answer:

8n + 1, where n is a whole number greater than or equal to 0.

Step-by-step explanation:

Every number on this list is one more than a multiple of 8, so if n is a whole number great than or equal to 0, the expression 8n describes every multiple of 8, and 8n + 1 describes every number one more than a multiple of 8.

The sequence is an arithmetic sequence.

The pattern is 1 + (n - 1)8.

It is a sequence where the difference between each consecutive term is the same.

Example:

2, 4, 6, 8 is an arithmetic sequence.

We have,

1, 9, 17, 25, 33,....

This is an arithmetic sequence.

The first term is 1.

a = 1

The common difference is 8.

d = 8

i.e

9 - 1 = 8

17 - 9 = 8

25 - 17 = 8

The nth term of an arithmetic sequence.

= a + (n -1)d

= 1 + (n - 1)8

Thus,

The pattern of the sequence is 1 + (n - 1)8.

Where n is the term of the number.

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Answer:

See below

Step-by-step explanation:

For a more detailed explanation, take a look at PDF below;

Surface Area of First Figure; 544 in^2,

Surface Area of Second Figure; 276 ft^2,

Surface Area of Third Figure; 1240 yd^2

Answer:

11x-11

Step-by-step explanation:

(10x-4)+(-7+x)

10x-4-7+x

11x-11

Answer:

11x-11

Step-by-step explanation:

10x+x=11x

-4+(-7)=-11

11x-11

if this is right a brainliest would be very appreciated!

Answer: 55

Step-by-step explanation:

[tex]\sqrt[3]{4x-4}=6[/tex]

Begin by cubing each side of the equation to get rid of the cubic root.

[tex](\sqrt[3]{4x-4})^3=(6)^3\\ 4x-4=216[/tex]

add 4

[tex]4x-4+4=216+4\\4x=220[/tex]

Divide by 4

[tex]\frac{4x}{4}=\frac{220}{4}[/tex]

[tex]x=55[/tex]

Answer:

it is zero

Step-by-step explanation:

Answer:

47 text messages

Step-by-step explanation:

7.05 divided by 1.50 which is 4.7

The multiply 4.7 times 10 which give you 47.

10 texts = $1.50

/10              /10

1 text = $0.15

# of texts = $7.05/$0.15 = 47 texts

Answer:

47 texts

Answer: You Would have To know How Far it will go In the next 60 min. (c

Step-by-step explanation:

Answer:The answers are down there.

Step-by-step explanation:

A) The speed of the train on the last section is  20miles/ 30 minutes  which 0.66 miles per minute.

B) It traveled the fastest from 50 to 60 minutes or 30 miles to 60 miles.

C) The train will travel 60 miles in 60 minutes.

D)The train stopped for  20 minutes during the journey.

Answer:

35 cm2

Step-by-step explanation:

Answer:

The area of the trapezoid would be 30 cm squared.

Step-by-step explanation:

Answer:

The answer is B

Step-by-step explanation:

BEcause I took the test

Answer:

B. $23.40

Step-by-step explanation:

1. You have to divided the cost by the number of gallons to get the the cost per gallon

2. multiply the number of gallons by the cost per gallon that you found

Then you have your answer!

Answer:

d. 2x^2-8x

Step-by-step explanation:

ure just doing distributive property.

The product of 2x(x-4) is 2x² - 8x

In a mathematics, algebraic expressions can be in bracket. This bracket means we multiply all the variables outside by those inside.

According to this question, we are given the following expression: 2x(x-4)

This means that 2x multiples x and -4 independently.

That is; 2x × x and 2x × -4

2x² - 8x

Therefore, the product of 2x(x-4) is 2x² - 8x.

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Answer:

y ≥ 3x

Possible solution:  x=1, y=3

Step-by-step explanation:

Since Henry has atleast 3 times as much money as Deb

y=3x

y must always be greater than or equal to 3x

if x=1 y=3

Answer:

x=5/4 -y

Step-by-step explanation:

12x-12x   12x-12x     12 divided by 0 = undefined

subtract 12 from both sides of the equation then divide by 12.

so the answer would be:

y= 5/4 -x

Width (7.8) x length (7.8) x width (7.8) = 474.552

Answer:

because she usually gets lower scores but her avarge is 13 because she make 30 in one game witch is an outlire

Step-by-step explanation:

if im wrong im sorry if not pls brainlyest

WHERE ARE THE FOLLOWING?

Answer:

C. The data value must be less than the mean

Step-by-step explanation:

Took the quiz on edge:)

Prism volume will be base area times height.  We have a right triangular base, so its area is half the product of its legs, area (1/2)(6)(8)=24.  The prism has a height 13.  Multiplying we get a volume of 24×13 = 312 cubic inches.

Answer:  312 cubic inches

Answer:

(1,4)

(2,6)

(3,8)

(4,10)

(5,12)

Step-by-step explanation:

Answer:

−30=5(x+1)

Step 1: Simplify both sides of the equation.

−30=5(x+1)

−30=(5)(x)+(5)(1)(Distribute)

−30=5x+5

Step 2: Flip the equation.

5x+5=−30

Step 3: Subtract 5 from both sides.

5x+5−5=−30−5

5x=−35

Step 4: Divide both sides by 5.

5x5=−355

x=−7

Answer:

x=−7

Answer:

x = -7

Step-by-step explanation:

Since this problem has the distributive property, we can simplify the problem.

-30 = 5x + 5

Now we have to subtract 5 from both sides because of the +5.

-35 = 5x

To find the answer, we have to move all the real numbers to one side, the variable on the other. To do this, we can simply divide both sides by 5.

-7 = x

x = -7

Answer:

5) Mode = 63          6) Mode = 74        

   Range = 70             Median = 74

   Median = 63           Range = 57

   Mean =  58.75        Mean = 68.7

Step-by-step explanation:

Answer:

13.5

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

The first term -2 is also -B; therefore A and B can be eliminated.

-1+3 is 2, and -4 is the only term used in the formula, so D is also eliminated

Answer:

b. only 5,4

Step-by-step explanation:

Answer: x = 14 for the first one, x = 4 for the second

Step-by-step explanation:

8x - 9 = 7x + 5

subtract 7x from both sides

x - 9 = 5

add 9 to both sides

x = 14

8x + 9 = 3x + 29

subtract 3x from both sides

5x + 9 = 29

subtract 9 from both sides

5x = 20

divide both sides by 5

x = 4

Without the calculator let's just estimate that .5/42 = 1.2% change in the angle; we reduce the length a=37 by 1.2% to get 37×.988=36.556.  That's probably good enough to choose A.

Let's do it the way they want.

[tex]\dfrac{\sin C}{c} = \dfrac{\sin A}{a}[/tex]

[tex]c = \dfrac{a \sin C}{\sin A} = \dfrac{37 \sin 41.5}{\sin 42} = 36.6400[/tex]

Answer: A

Estimate worked.  Sine is approximately linear when the range is small enough.    

Answer:

y=y0e^-0.0002t

Step-by-step explanation:

Answer:

Jill will make less money if they both work 3 hours

Step-by-step explanation:

Trust me. I hope this helps :)

The last option(D)

Answer:

There needs to be a graph.

Step-by-step explanation:

The rate of change is not the same for all the cases so, the relationship between hours biked, and the miles traveled is not proportional.

We use constant of proportionality in mathematics to calculate the rate of change and at the same time determine if it is direct variation or inverse variation that we are dealing with.

From the table, we need to find the rate of change between two given hours and the miles traveled at that time.

Now,

Between 1 hour and 2 hours.

The rate of change.

= (26 - 12) / (2 -1)

= 14 / 1

= 14

Between 2 hours and 3 hours.

The rate of change.

= (30 - 26) / (3 - 2)

= 4 / 1

= 4

Between 3 hours and 4 hours.

The rate of change.

= (48 - 30) / (4 - 3)

= 18 / 1

= 18

Since,

The rate of change is not the same for all the cases so,

Hence, the relationship between hours biked, and the miles traveled is not proportional.

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