5.) Solve the proportion. *
2
m - 6
7.
m - 8

Answer:

6

Step-by-step explanation:

The two small triangles are congruent by SAS.

By CPCTC, x = 6.

Answer: 6

Answer:

the last one

Step-by-step explanation:

[tex]\sqrt[3]{64}[/tex] and  [tex]16^{3/2}[/tex] expressions have the greatest value.

What is square root and cube root of a number?

Square root of a number results a number that when square, gives us the previous number.

Similarly, cube root of a number results a number that when cubed, gives us the previous number.

Here, [tex]\sqrt[3]{64}[/tex]² = ∛(64 × 64) = ∛(8 × 8 × 8 × 8 × 8 × 8) = 8 × 8 = 64

[tex]16^{3/2}[/tex] = 4³ = 64

[tex]\sqrt[3]{8^{4} }[/tex] = ∛(8 × 8 × 8 × 8) = ∛(64 × 64) = ∛(4 × 4 × 4 × 4 × 4 × 4) = 4 × 4 = 16

√(16²) = √(16 × 16) = 16

Therefore, [tex]\sqrt[3]{64}[/tex]² and [tex]16^{3/2}[/tex] have the greatest value.

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Answer:

Step-by-step explanation:

Not true.  A temperature of 35 degrees is 70 degrees higher than -35 degrees Fahrenheit.

Answer:

the first one is true, the third one is true, the fourth one is true, the fifth one is true

Step-by-step explanation:

the second one is false

The function that best models the situation is f(x) = 23540(0.95)ˣ, where x is the number of years.

A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

Given that, Andy buys a new car for $23,540. He estimates that the new car will decrease in value by about 5% each year.

The depreciation rate =

A = P(1-r)ⁿ

Where, A = amount final

P = initial amount

r = rate and n = number of the years

Therefore,

The depreciation rate =

f(x) = 23540(1-0.05)ˣ

f(x) = 23540(0.95)ˣ

Hence, the function that best models the situation is f(x) = 23540(0.95)ˣ, where x is the number of years.

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Answer:

1

X is equal to 10

10 plus 1 equals 11

2

y is equal to 6

30 minus 8

is equal to 22

3

m equals 3 and t equals 5

30 minus 27

is equal to 3

4 not written properly

5 not written properly

Answer:

no srry

Step-by-step explanation:

Answer:

the value of h is √676km

Step-by-step explanation:

The computation of the value of h is shown below

Here we apply the Pythagoreus theorem

= 24^2 + 10^2

= 576 + 100

= √676

Hence, the value of h is √676km

We simply determine by using the Pythagoreus theorem

Answer:

b

Step-by-step explanation:

The domain is a set of input values so {x| x = –7, –6, 2, 11, 3} will be the domain of the relation therefore option (B) will be correct.

A function's range is the set of all values that the function accepts, and its domain is the set of all values for which the function is defined.

The domain is for the independent variable while the range is for the dependent variable.

For example f(x) = x²

Now if we put x = 1 then it is called as domain variable while the value of function at x = 1 its that f(1) = 1 called range variable.

The domain is the set of all input values where the function is defined.

Since in the given relation ;

All input values have an output so all input values will be the domain of the given relation.

Hence "{x| x = –7, –6, 2, 11, 3} will be the domain of the relation".

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Answer:

36 inches.

Step-by-step explanation:

If one piece of string is  12 inches

and the second piece = 24 inches

Then the total is 12 + 24 = 36 inches.

Given:

Consider the given polynomial is:

[tex]x^3+4x^2+16x+64[/tex]

To find:

The complete factorization of the given polynomial.

Solution:

We have,

[tex]x^3+4x^2+16x+64[/tex]

Using grouping method, we get

[tex]=(x^3+4x^2)+(16x+64)[/tex]

[tex]=x^2(x+4)+16(x+4)[/tex]

[tex]=(x+4)(x^2+16)[/tex]

[tex]=(x+4)(x+4i)(x-4i)[/tex]         [tex][\because x^2+y^2=(x+iy)(x-iy)][/tex]

Therefore, the correct option is C.

Answer:

32

Step-by-step explanation:

One member would make 250$ by selling 31.25 rolls. Which if you round up you get 32. You can't sell a quarter of a roll so you must go up one therefore the answer is one person must sell 32 rolls in order to make 300$ including the 50$ already towards his credit.

Answer:

x^2 - 2

Step-by-step explanation:

The correct procedure would have been to distribute the negative to the +4 also, so you would have +2 - 4 = -2 so the final answer should have been

x^2 - 2

(3x²+2)-(2x²+4)

write in a different form, remove parentheses

3x²+2-2x²-4

calculate the value of the corresponding terms

x²-2

Answer: Yes, he made a mistake.

A simplified expression would look like this x²-2 and not like this x²+^6.

Answer:

i think it's 10%

Step-by-step explanation:

-12 x 3 = -36

-6 x 6 = 36

-8 x 2 = -16

-4 x 4 = -16

Answer:

Step-by-step explanation:

.

Step-by-step explanation:

T=D/S

D=360m

S=12m/s

360m÷12m/s

Time=30s

Given:

The two linear equations are:

[tex]x+y=5[/tex]

[tex]y-2x=-4[/tex]

To find:

Whether the ordered pair (3,2) is a solution of the given system of liner equations.

Solution:

We have,

[tex]x+y=5[/tex]          ...(i)

[tex]y-2x=-4[/tex]        ...(ii)

If both the equations are satisfy by the point (3,2), then this point is the solution of the given system of equations.

Putting [tex]x=3,y=2[/tex] in (i), we get

[tex]3+2=5[/tex]

[tex]5=5[/tex]

This statement is true. It means the point (3,2) satisfies the equation (i).

Putting [tex]x=3,y=2[/tex] in (ii), we get

[tex]2-2(3)=-4[/tex]

[tex]2-6=-4[/tex]

[tex]-4=-4[/tex]

This statement is true. It means the point (3,2) satisfies the equation (ii).

Since both the equations are satisfy by the point (3,2), therefore the point (3,2) is the solution of the given system of equations.

Answer:

5m+6

Step-by-step explanation:

Hello There!

We can simplify the given expression using distributive property

We can distribute the 2 to the m and - 3

2 * m = 2m

2 * -3 = -6

Now lets distribute the 3 to the m and the 4

3 * m = 3m

3 * 4 = 12

we´re left with

2m - 6 + 3m +12

our final step would be to combine like terms

2m + 3m = 5m

-6 + 12 = 6

so the simplified version would be

5m+6

Answer:

It should look like this

Step-by-step explanation:

hope it helps

Answer:

C

Step-by-step explanation:

Answer:

[tex]\huge\boxed{\sf Slope = \frac{9}{7}}[/tex]

Step-by-step explanation:

The top and bottom points of the line are

(3,0) and (10,9)

[tex](x_1,y_1) = (3,0)\\\\(x_2,y_2) = (10,9)[/tex]

So,

[tex]\sf Slope = \frac{y_2-y_1}{x_2-x_1}\\\\Slope = \frac{9-0}{10-3} \\\\\boxed{\sf Slope = \frac{9}{7} }\\\\\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

Answer C: y=3x+2 because the y-intercept is positive 2 if you graph it

Answer:

tan x =  [tex]\frac{f}{e}[/tex]

cos x = [tex]\frac{e}{d}[/tex]

sin x = [tex]\frac{f}{d}[/tex]

Step-by-step explanation:

tan = [tex]\frac{opposite}{adjacent}[/tex]

tan x = [tex]\frac{f}{e}[/tex]

cos = [tex]\frac{adjacent}{hypotenuse}[/tex]

cos x = [tex]\frac{e}{d}[/tex]

sin = [tex]\frac{opposite}{hypotenuse}[/tex]

sin x = [tex]\frac{f}{d}[/tex]

Answer:

I believe it will be 5 minutes for it to reach that.

Answer:

3

Step-by-step explanation:

Answer:

-11

Step-by-step explanation:

3 x (-3) x 2 - 4 x (-3) - 5

= -18 + 12 - 5

= -11

Answer:

b) 31

Step-by-step explanation:

20 + 5 = 25

25 - 2 = 23

23 + 5 =28

28 - 2 = 26

pattern: add 5 then subtract 2

since we subtract last, we would add 5 on 26:

26 + 5 = 31

Answer:

31

Step-by-step explanation:

In the sequence they are adding 5 and taking away 2. So if they start with 20, they added 5 and took away 2, it was 23. Then they added 5 again and it was 28, they took away 2 and it was 26. If they add 5, the next number would be 31.

Hope it helped :)