Find the sum of the interior angle measures of the polygon.

Please help!

The DJ will charge them $575.

Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.

Given that,

Booking fee for DJ = $350

Rate for an hour = $45

Let x be the number of hours DJ is lasting.

Expression to find the total charge for x hours is 350 + 45x.

The Martins want to book the DJ for a party that will last 5 hours.

Cost for the DJ party for Martins = 350 + (45 × 5) = $575

Hence the cost for the DJ party booked by Martins is $575.

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Step-by-step explanation:

let

(-7,-8) =(x1, y1)

and (-6,7)=(x2, y2)

by the formula

d=√(y2-y1) ²+(x2-x1) ²

=√(7+8)²+(-6+7)²

=√15²+1²

= √225+1

= √226

Answer:

9

Step-by-step explanation:

Ac = BD

3(x  - 3) = x + 3  Distribute the 3

3x - 9 = x + 3   Subtract x from both sides

2x - 9 = 3   Add 9 to both sides

2x = 12  Divide both sides by 2

x = 6

Plug 6 back into either expression to solve for the side length

3(x - 3)

3(6-3)

3(3) = 9

or

x + 3

6 + 3 = 9

Answer:

AC = BD = 9

Step-by-step explanation:

the diagonals of a rectangle are congruent , then

AC = BD , that is

3(x - 3) = x + 3 ← distribute parenthesis on left side

3x - 9 = x + 3 ( subtract x from both sides )

2x - 9 = x + 3 ( add 9 to both sides )

2x = 12 ( divide both sides by 2 )

x = 6

Then

AC = 3(x - 3) = 3(6 - 3) = 3(3) = 9

BD = x + 3 = 6 + 3 = 9

that is AC = BD = 9

Answer:

3x-6

Step-by-step explanation:

3(x-2)

3 multiply both x and -2

3x-6

hope it's helpful ❤❤❤❤

THANK YOU.

The circumference of circle is 150.72 millimetres.

In simpler terms, circumference in the perimeter of circle. Thus, it will represent the measure of length of the line of circle. The relationship between circumference of circle and it's diameter will be represented as formula -

C = πd, where C is circumference and d is diameter.

Keep the value of diameter in the formula to find the exact circumference of the circle.

Circumference = 3.14×48

Performing multiplication to find the circumference of the circle

Circumference = 150.72 millimetres.

Therefore, the circumference of the circle with 48 millimetres diameter is 150.72 millimetres.

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Answer:

The answer is

\( \huge y = 4x - 2\)

Step-by-step explanation:

To find an equation of a line given the slope and a point we use the formula

\(y - y_1 = m(x - x_1)\)

From the question the point is (-1,-6) and slope 4

The equation of the line is

\(y + 6 = 4(x + 1) \\ y + 6 = 4x + 4 \\ y = 4x + 4 - 6\)

We have the final answer as

\(y = 4x - 2\)

Hope this helps you

Answer:

3:25

Step-by-step explanation:

The photo shows how it's solved.

Answer: 3:25

Step-by-step explanation:

Step 1) Convert the decimal number to a fraction by making 0.12 the numerator and 1 the denominator

0.12 = 0.12/1

Step 2) Multiply the numerator and denominator by 100 to eliminate the decimal point.
0.12 x 100

------------ = 12/100
1 x 100

Step 3) Simplify the fraction in the previous step by dividing the numerator and the denominator by the greatest common factor (GCF) of 12 and 100. (The GCF of 12 and 100 is 4.)

12 ÷ 4

---------  = 3/25  

100 ÷ 4

Step 4) Convert the fraction in the previous step to a ratio by replacing the divider line with a colon like this:  

3  

25   =  3:25

Answer:

1) -3/4

2) (6, 0), (0, -4)

3) connect (0,-2) and (8,0) together

Step-by-step explanation:

1) (-2) - (-5) / (-1) - 3 = -3/4

2) x = 0 -3y=12 y = -4, y= 0 2x =  12 x = 6, x intercept = (6, 0) y intercept = (0, -4)

3) x - 4y = 8 this could be written as y = x/4 - 2 and y intercept is (0, -2) and x intercept is (8, 0) so connect these points together and make a line

#1

#2

Inetercept form x/a+y/b=1

x inetercept at 6 and y intercect at -4

#3

Graph attached

Answer: f

Step-by-step explanation:

The domain of a composite function f(g(x)) is the set of those inputs x in the domain of g for which g(x) is in the domain of .

The polynomials in this problem that are in standard format are given as follows:

A. \(t^4 - 1\)

B. -2t² + 3t + 4.

C. 4t - 7.

The standard format of a polynomial is to write it in descending order of the exponents of the variable, with each term separated by a plus or minus sign.

For example, the standard format of a polynomial p(x) of the nth degree is given as follows:

\(p(x) = a_nx^n + a_{n-1}x^{n-1} + ... + a_2x^2 + a_1x + a_0\)

In which \(a_n, a_{n - 1}, \cdots, a_0\) are the coefficients.

For this problem, in all of the options a, b and c, the exponents are in decreasing order, hence the polynomials are in standard format.

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Answer:

12

Step-by-step explanation:

1/3( 4×3)+8

1/3(12)+8

4+8

12

Answer:

b

Step-by-step explanation:

Answer:

1,665.25 km

Step-by-step explanation:

Answer:

The answer is 57.

Step-by-step explanation:

You have to substitute w = 2 into the expression :

\(8 {w}^{2} + 8w + 9\)

\(let \: w = 2\)

\(8 {(2)}^{2} + 8(2) + 9\)

\( = 32 + 16 + 9\)

\( = 57\)

Answer:

57

Step-by-step explanation:

\(8*2^{2}+8*2+9\\8*4+16+9\\32+16+9\\48+9\\57\)

Answer:

6 times

Step-by-step explanation:

18 / 3 = 6

Answer:

6

Step-by-step explanation:

Solve:

6*3= 18

Check your work:

18 divided by 3

OR

18 divided by 6

Hope this helps!

Answer:

\( \frac{1}{6} \)

Step-by-step explanation:

\( \frac{2}{3} \times \frac{2}{8} = \frac{2 \times 2}{3 \times 8} = \frac{4}{24} \)

Lets divide the numerator and denominator with 4.

\( = > \frac{4 \div 4}{24 \div 4} = \frac{1}{6} \)

Answer:

0

Step-by-step explanation:

By the remainder theorem, this is the same as finding f(-1/2), which is equal to 0.

Answer:

55621

Step-by-step explanation:

The temperature at the bottom of the mountain is 50.9 °C.

Let's work through the given information step by step to find the temperature at the bottom of the mountain.

The temperature in the hotel is 21 °C.

The temperature in the hotel is 26.7 °C warmer than at the top of the mountain.

Let's denote the temperature at the top of the mountain as T_top.

So, the temperature in the hotel can be expressed as T_top + 26.7 °C.

The temperature at the top of the mountain is 3.2 °C colder than at the bottom of the mountain.

Let's denote the temperature at the bottom of the mountain as T_bottom.

So, the temperature at the top of the mountain can be expressed as T_bottom - 3.2 °C.

Now, let's combine the information we have:

T_top + 26.7 °C = T_bottom - 3.2 °C

To find the temperature at the bottom of the mountain (T_bottom), we need to isolate it on one side of the equation. Let's do the calculations:

T_bottom = T_top + 26.7 °C + 3.2 °C

T_bottom = T_top + 29.9 °C

Since we know that the temperature in the hotel is 21 °C, we can substitute T_top with 21 °C:

T_bottom = 21 °C + 29.9 °C

T_bottom = 50.9 °C

Therefore, the temperature at the bottom of the mountain is 50.9 °C.

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When 15 milliliters of pure drug are in 500 mL of solution, the percent strength of the solution is

information from the problem

15 milliliters of pure drug are in 500 mL of solution

the percent strength of the solution = ?

The question is a percentage problem, percentage deals with a fraction hundred and used as follows

= volume of pure drug / volume of solution * 100

= 15 milliliters / 500 milliliters  * 100

= 0.03

= 3%

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Answer:

Step-by-step explanation:

Let h(x) = y

The exponentail function is of the form :

\(y = ab^x\)

We have :

\(y_{_1} = ab^{x_{_1}}\\y_{_2} = ab^{x_{_2}}\\\\\implies \frac{y_{_1}}{y_{_2}} = \frac{ab^{x_{1}}}{ab^{x_{2}}} \\\\\implies \frac{y_{_1}}{y_{_2}} = \frac{b^{x_{1}}}{b^{x_{2}}} \\\\\implies \frac{y_{_1}}{y_{_2}} = b^{(x_1-x_2)}\)

Given points : (4, 9) and (5, 34.2)

We have:

\(\frac{34.2}{9} = b^{(5-4)}\\\\\implies 3.8 = b\)

Writing the equation with x, y and b:

\(y = ab^x\\\\\implies 9 = a(3.8^4)\\\\a = \frac{9}{3.8^4} \\\\a = 0.043\)

a = 0.043

b = 3.8

When x = 6, y will be:

\(y = (0.043)(3.8^6)\\\\y = 128.47\)

This is not the y value in the question y = 59.4

Therefore (6, 59.4) does not lie on the graph h(x)

Answer:

D

Step-by-step explanation:

I think its D because you multiple the number that is out of the the bracket with the numerators..

so its

a^4/b^12

Answer:

0

Step-by-step explanation:

Inverse it To verify:

0/1=0+9=9

Answer:

The answer is J x= 6; slope is undefined

Step-by-step explanation:

iTS undefined because it's a line

The answer is J

The reason the line is unidentified is because it is going straight up and the slope is unable to be determined.

Answer:

No.

Step-by-step explanation:

If a decimal repeats forever, it will be irrational.

Hey there!☺

\(Answer:\boxed{\text{Rational}}\)

\(Explanation:\)

.333333 is rational because any integer, fraction, and a repeating and terminating decimals are rational. So, therefore,  .333333 is rational.

Hope this helps!

Answer:

Probability of selecting a grape juice pop from the first box: 25%

Probability of not selecting a cherry juice pop from the second box: 75%

Probability of them both occurring: 18.75%

Step-by-step explanation:

Answer:

Step-by-step explanation:

A. 17p

Step-by-step explanation:

hope this helps ya :)

9514 1404 393

Answer:

  $0 -- y-intercept

  $10 per hour -- slope

Step-by-step explanation:

We would need to see grid lines on the graph, or the point in the upper right corner to be sure. It appears as though the slope is about $40 / 4 h, or $10 per hour.

The y-intercept is the point at lower left, (0, 0).

Answer:

4 5/8

Step-by-step explanation:

Rewriting our equation with parts separated

=4+12+18

Solving the fraction parts

12+18=?

Find the LCD of 1/2 and 1/8 and rewrite to solve with the equivalent fractions.

LCD = 8

48+18=58

Combining the whole and fraction parts

4+58=458