Find the volume of a right rectangular prism with length 12 in., width 10 in., and height 6 in.

Question:

The quantities x and y are proportional.

x y

5.8 7.5

11.2

Find the constant of proportionality (r) in the equation y=rx

Answer:

The constant of proportionality is 75/58 or 1.29

Step-by-step explanation:

Given

The table above

Required

Find the constant of proportionality

The question has an incomplete table but it can still be solved because x and y are proportional.

Given that

y = rx

Make r the subject of formula

Divide through by x

y/x = rx

y/x = r

r = y/x

When y = 7.5, x = 5.8

Substitute these values

r = y/x becomes

r = 7.5/5.8

Multiply denominator and numerator by 10

r = (7.5 * 10)/(5.8 * 10)

r = 75/58

In this case, it's best to leave the answer in fraction.

However, it can be solved further.

r = 75/58

r = 1.29 (Approximated)

Hence, the constant of proportionality is 75/58 or 1.29

Answer:

the correct answer is 1

hope this helps :D

Answer:

Geometric Sequence

Step-by-step explanation:

Hope this helps! Have a nice day!

Answer:

aa

Step-by-step explanation:

aa

Answer:

4) undefined

Step-by-step explanation:

When graphing x=3, you'll find that it is a vertical line, that intersects the x axis at 3.

Slope is rise over run.

Our line is rising infinitely for every 0 runs.

So it would pretty much be infinitely/0

Since you can't divide a number by 0, we consider the slope of a vertical line, undefined.

Answer: 8:12?

Step-by-step explanation:

Answer: 32/12 = 8/3

Step-by-step explanation:

4 pizzas = 32 pieces

12 students

so, the ratio is

32/12 = 8/3

Answer:

30

Step-by-step explanation:

180-110=70

70+80=150

180-150=30

Answer:

Answer: D) equal rights for African Americans

Step-by-step explanation:

Answer:

The equation for difference in altitude of the two helicopters is A =  650 - 100t

Step-by-step explanation:

Given;

The altitude of one helicopter is, A1 = 600 + 150t

The altitude of a second helicopter is,  A2 = 1250 + 50t

Their difference in altitude, A at time t, is calculated as

A₂ - A₁  = A = (1250 + 50t) - (600 + 150t)

A₂ - A₁  = A =  1250 + 50t - 600 -150t

A₂ - A₁  = A = 1250 - 600 + 50t - 150t

A₂ - A₁  = A =  650 - 100t

Therefore, the equation for difference in altitude of the two helicopters is A =  650 - 100t

Answer:

9π

8

Step-by-step explanation:

Formula= (x/360) π r^2

(45/360)3^2= 9

                      8

(Don't forget the π)

Answer= 9π

               8

Answer:

9/22

Step-by-step explanation:

1/2 + x=10/11

Subtract 1/2 from each side

1/2-1/2 + x=10/11-1/2

x = 10/11 -1/2

Getting a common denominator of 22

x = 10/11*2/2  -1/2 *11/11

x = 20/22 - 11/22

x = 9/22

Answer:

x=9/22

Step-by-step explanation:

u have to subtract 1/2 on both sides, so u can get X by itself

1/2-1/2+x=10/11-1/2

get the common denominator for 10/11 and 1/2

10/11 times 2/2=20/22

1/2 times 11/11=11/22

20/22-11/22= 9/22

x=9/22

ANSWER CHECK

substitute the variable X for 1/22

1/2+9/22=10/11

common denominator

1/2 times 11/11=11/22

11/22+9/22= 20/22 or 10/11

Answer: 1.64     2.100

Step-by-step explanation:

The reason for this is squaring something is simply mulyiplying the number by itself. for example

8 squared

there is a 2 above the 8 which means we will do 8x8.

8x8= 64

Hope this helps!!!!

Answer:

52 people

Step-by-step explanation:

If you place 25 square tables in a line, the 23 tables in the middle can only seat 2 people each since the other two sides are touching two other tables. The end two tables can seat 3 people since only one of their sides is touching another table.

So multiply 23 by 2 to find out how many people are sitting in the middle and then add 6 people for the two tables on the end.

23(2) + 3(2) = 52 people

Answer:

Volume of rectangular prism:

V1 = base x height = 4 x 6 x 12 = 288 ft3

Volume of triangular prism:

V2 = base x height = 4 x (6/2) x 6 =  72 ft3

Volume of composite prism:

V= V1 + V2 = 288 + 72 = 360 ft3

Hope this helps!

:)

Answer:144 ways

Step-by-step explanation:

Given

There are 7 different models cars

out of which three are blue and 4 are red

If the first middle and last car in Queue is blue car therefore the position of blue cars is fixed

But these 3 cars can be arranged in 3! ways

Remaining 4 cars can be  arranged in remaining 4 spots in 4! ways

Therefore total no of ways are

[tex]=3!\times 4![/tex]

[tex]=6\times 24=144\ ways[/tex]

Answer:

784

Step-by-step explanation:

Answer:

784

Step-by-step explanation:

34+22=56

28÷2=14

56×14=784

Answer:

Yes

Step-by-step explanation:

(1, -2)

y > -6x – 3

-2 > -6(1) - 3

-2 > -6 - 3

-2 > -9 Yes

Answer:

imposable posable and all the way down like that

Step-by-step explanation:

Answer:

Step-by-step explanation:

4^3 * 4^4 = 4^(3+4) = 4^7

4^7/4^9 = 4^(7-9)

= 4^-2 = 1/4^2

Answer:

[tex]x=-1[/tex]

Step-by-step explanation:

[tex]x + x + 2 + 2x = -2[/tex]

First, we need to collect like terms:

[tex]4x+2=-2\\4x=-4[/tex]

Then we divide both sides by 4:

[tex]\frac{4x}{4}=\frac{-4}{4}\\x=-1[/tex]

The answer is x = -1.

To solve this equation, you must collect like-terms by adding together x terms and numbers, and then rearrange to get x on one side and numbers on the other:

x + x + 2 + 2x = -2

4x + 2 = -2

- 2

4x = -4

÷ 4

x = -1

I hope this helps! Let me know if you have any questions :)

Answer:

y ≤1

Step-by-step explanation:

The range is the output values

It has a max at 1 and can be any value below 1

y ≤1

Answer:

f(x) < 1

Step-by-step explanation:

Max y value on the graph is y = 1, hence the range is f(x)《 1

From the given options,

f(x) < 1

Answer:

try going for B

Step-by-step explanation:

Answer:

Factors of the constant term

Step-by-step explanation:

the answer is "factors of the constant term"! i hope this helped

Answer:

2000 meters

Step-by-step explanation:

The first step in this problem is to find 2/3 of 3 kilometers per hour.

2/3 * 3/1 = 6/3. This can be simplified to 2 kilometers per hour.

Now, find the rate of meters per minute. To do so, multiply 2 by 1000.

2 * 1000 = 2000

Therefore, at 2/3 of Lucia's rate, she walks 2000 meters per minute.

Answer:

The answer is 75 meters per minute.

Step-by-step explanation:

Ok I been seeing people say 2000 meter which is WRONG. 1 kilo= 1,000 meters

2/3 of an hour= 40 minutes

3,000 meters/40mins= 75 meters per minute

(Your welcome ladies and gents)

Answer:

4(a^2)(a^3)/16(b)(b^2)

Step-by-step explanation:

The equivalent expression in the simplified form of the expression [4a²(b⁻²)] / [16(a⁻³)b] will be [4 · a² · a³] / [16 · b² · b].

The equivalent is the expression that is in different forms but is equal to the same value.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The expression is given below.

⇒ [4a²(b⁻²)] / [16(a⁻³)b]

Simplify the expression, then we have

⇒ [4a²(b⁻²)] / [16(a⁻³)b]

⇒ [4 · a² · a³] / [16 · b² · b]

The equivalent expression in the simplified form of the expression [4a²(b⁻²)] / [16(a⁻³)b] will be [4 · a² · a³] / [16 · b² · b].

More about the equivalent link is given below.

https://brainly.com/question/889935

#SPJ2

Answer:

-812 and 812

Step-by-step explanation:

Answer: where is it??

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation:

x^5 * x^-3 =x^n

We know a^b * a^c = a^(b+c)

x^(5 -3) =x^n

x^2 = x^n

2=n

Answer:

C. 2

Step-by-step explanation:

When you are multiplying the same base number with exponents you add the exponents. 5-3=2. So, n=2. Hope this helps :)

Answer:

There needs to be 3 base lengths and 1 height length… I suggest resubmitting! :)

Answer:

x = 10.6

y = 10.6

Step-by-step explanation:

To answer this question you will need to use trigonometry. If you don't already have an understanding of trigonometry, this will be very hard to explain. please let me know in the comments if you would like me to give it a go.

I hope this was helpful :-)