3 power 4 x 9 power 2 ​

Answer:

[tex]{:}\longrightarrow[/tex][tex]\sf 2x^3+20x^2+2ax^2+20ax [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 2x^2 (x+10)+2ax (x+10)[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf (x+10)2x^2+2ax[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf (x+10)2x (x+a)[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 2x (x+a)(x+10)[/tex]

Answer: The area of the larger square is 9 times the area of the smaller square.

Step-by-step explanation:

Answer:

Step-by-step explanation:

1 in: 30 km

4.3 inches * 30km= 129 km

Since every inch is the same as 30 km.

Second problem

20 test: 163 mins

8.15 mins per test

44*8.15= 358.6 mins round to the nearest whole is 359 mins

Answer:  what the other guy said 69

Step-by-step explanation:

Answer:

Cant you just look it up?

Step-by-step explanation:

Answer:

Line b and line c are perpendicular.

Step-by-step explanation:

In order to find if the lines are parallel, perpendicular or neither, their slopes have to be found.

Slope is denoted by m and is calculated as:

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

Here (x1,y1) and (x2,y2) are the coordinates of the point through which the line passes.

Let m1 be the slope of line a

and line a passes through (−2, 1) and (0, 3)

[tex]m_1 = \frac{3-1}{0+2} = \frac{2}{2} = 1[/tex]

Let m2 be the slope of line b which passes through (4, 1) and (6, 4)

[tex]m_2 = \frac{4-1}{6-4} = \frac{3}{2}[/tex]

Let m3 be the slope of line c which passes through (1, 3) and (4, 1)

[tex]m_3 = \frac{1-3}{4-1} = \frac{-2}{3}[/tex]

When two lines are parallel, their slopes are equal.

When two lines are parallel, the product of their slope is -1

None of the slopes are equal to each other so none of the lines are parallel

And

[tex]m2.m3\\= \frac{3}{2} * -\frac{2}{3}\\= -1[/tex]

Hence,

Line b and line c are perpendicular.

Answer:

The value of 42−{(7+14)÷7}×4 will be 30.

A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.

An expression is a mathematical proof of the equality of two mathematical expressions.

A statement expressing the equality of two mathematical expressions is known as an equation.

Given,

⇒ 42−{(7+14)÷7}×4

⇒ 42 - { (21)÷7}×4

⇒ 42 - 3×4

⇒ 42 - 12

⇒ 30

Hence "The value of 42−{(7+14)÷7}×4 will be 30".

To learn more about expression

https://brainly.com/question/14083225

#SPJ15

Answer: (7, 0)

Step-by-step explanation:

We have the system of equations:

9*x - y = 63

x = y + 7

We can see that the "x" is isolated in the second equation, then we can replace it in the first equation to get:

9*x - y = 63

9*(y + 7) - y = 63

Now we have an equation that only depends on one variable, so we can solve it:

9*y + 63 - y = 63

8*y + 63 = 63

8*y = 63 - 63 = 0

y = 0/8 = 0.

Now we know the value of y, we can replace this in one of the initial equations to find the value of x, i will replace this in the second equation:

x = y + 7 = 0 + 7 = 7

Then the point that is a solution for the system of equations is (7, 0)

Answer:

The answer is 15 units is the answer boom

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

5p + 4c = 20

Step-by-step explanation:

lets have p stand for the number of popcorn we buy and c stand for the number of candy we buy

you can only spend $20, so we know we need to set our equation equal to $20

now we take the price of of popcorn and multiply it p, the number of popcorn we buy. and we can do the same thing with candy.

so we end up with 5p + 4c = 20

Answer:

Only table C shows proportional relationship

Step by Step Explanation:

Given

Tables A, B an C

Required

Which table shows proportional relationship?

In table A .

x = 2 and y = 20

k = 20/2

k = 10

Also, x = 12, y = 132

k =. 132/12.

k = 11

Both values of k are not equal.

Hence, the table is not proportional

In table B

x = 5 and y = 20

k = 20/5

k = 4

Also, x = 7, y = 30

k =. 30/7

k = 4.29

Both values of k are not equal.

Hence, the table is not proportional

In table C

x = 9 and y = 90

k = 90/9

k = 10

Also, x = 14, y = 140

k =. 140/14

k = 10

Also, x = 24, y = 240

k =. 240/24

k = 10

All values of k are equal.

Hence, the table is proportional

Answer:

C.

Step-by-step explanation:

i tried it on khan and it said I was right trust me :)

Answer:

I read it.. I don't know.. It's just saying we can't really cheat, it's not too bad.

Answer:

$42.75

Step-by-step explanation:

14.25

x     3

---------

42.75

Answer:$42.75

Step-by-step explanation: You just take the $14.25 and triple it.

Answer:

Step-by-step explanation:

a. Yes is proportional with the cost because they depend on one another

b. (0,0) means if we buy 0 cookies we pay $0

c. (1, 0.50) means that if we buy 1 cookie we have to pay $0.50

d. the unit rate is how much we pay for one cookie so is $0.50 per 1 cookie

Answer: 10.5cm

Step-by-step explanation: the radius is half the diameter. 21/2=10.5

Answer:

The standard deviation of the sampling distribution    σₓ = 0.013

Step-by-step explanation:

Explanation:-

Mean of the Population  μ = 9.70 ounces

Standard deviation of the Population σ = 0.03 ounces

Given size of random sample 'n' =5

The standard deviation of the sampling distribution

               σₓ = σ/√n

            [tex]S.D = \frac{0.03}{\sqrt{5} } = 0.013[/tex]

Answer:

12,16

Step-by-step explanation:

multiple of 4

4,8,12,16

12+16=28

Answer:

9:5 = 1428:x

ratios can also be written as fractions, so

9/5 = 1428/x

solve for x

9/5 × x = 1428

x = 1428 / (9/5)

x = 918

Answer:

a) The difference of a number and six is no less than 15

x - 6 ≥ 15

b) 25 plus a number is at least 13

25 + x ≥ 13

c) g decreased by 25 is at most five

g - 25 ≤ 5

Step-by-step explanation:

a) The difference of a number and six is no less than 15

Let the number be represented by x

We difference is involved in a mathematics question, it requires the application of Subtraction operation, hence:

x - 6 ≥ 15

b) 25 plus a number is at least 13

Let the unknown number be represented by x

When at least is used in Mathematics, is means greater than or equal to a particular value,

Hence,

25 + x ≥ 13

c) g decreased by 25 is at most five

At most means less than or equal to a particular value, hence:

g - 25 ≤ 5

Answer:

The total budget for their student film was $540

Step-by-step explanation:

The total percentage of any quantity is 100%

∵ A group of friends was working on a student film

∵ They spent all their budget on props and costumes

∴ The total budget of the props and costumes = 100%

∵ They spent $243 on props

∵ They spent 55% of the total budget on costumes

→ Find the percentage of the props

∴ The percentage of the props = 100% - 55%

∴ The percentage of the props of the total budget = 45%

→ That means 45% of the total budget = 243

∵ 45% × total budget = 243

→ Change the percent to a number by divide it by 100

∵ 45% = 45 ÷ 100 = 0.45

∴ 0.45 × total budget = 243

→ Divide both sides by 0.45

∴ The total budget = 540

∴ The total budget for their student film was $540

Answer:

154

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

Answer:

5x-17-8x-3=14

-3x=14+17

x=31/-3

x=8.333333

Given:

The value of the function g(x) is −2 when x=−5 and is 5.7 when x=6.

To find:

The equation of the function.

Solution:

The value of the function g(x) is −2 when x=−5. It means the graph of function passes through (-5,-2).

The value of the function g(x) is 5.7 when x=6. It means the graph of function passes through (6,5.7).

The equation of function g(x) that passes through (-5,-2) and (6,5.7) is

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

[tex]y-(-2)=\dfrac{5.7-(-2)}{6-(-5)}(x-(-5))[/tex]

[tex]y+2=\dfrac{5.7+2}{6+5}(x+5)[/tex]

[tex]y+2=\dfrac{7.7}{11}(x+5)[/tex]

[tex]y+2=0.7(x+5)[/tex]

[tex]y+2=0.7x+3.5[/tex]

Subtract 2 from both sides.

[tex]y=0.7x+3.5-2[/tex]

[tex]y=0.7x+1.5[/tex]

Therefore, the equation of function g(x) is [tex]y=0.7x+1.5[/tex].

Answer:

rate of change is 2

Step-by-step explanation:

better thank this