Referring to the table in question 14, how would you graph the solution set representing students that do not receive a note sent home to parents?Draw points on the integers to the left of, and including, 0.Draw points on the integers to the right of, and including, 0.Draw points on the integers to the left of 0.Draw points on the integers to the right of 0.

we must find b one of the parallel sides before proceeding to find h

from the diagram b = 7cm

The general equation of a circle is expressed as

Given that a circle having equation

is moved up 3 units and 1 unit to the left. Thus, we have

This gives

Comparing equations 1 and 2, we have

Hence,

the center (a, b) of the circle is (1, 8),

the radius r of the circle is 4,

the equation of the circle is

Hello there. To solve this question, we have to remember some properties about polar coordinates.

Given a point (x, y) and we want to plot the graph for (r, theta) after making the transformation, the graph will be something like the following:

In this case, we want to graph the point (5, 3pi/4)

First, notice 3pi/4 = 75º, which is in the first quadrant.

Therefore the graph will indeed look like the one above:

Which is the option contained in the first answer.

Considering the Set A and B given, Applying inclusion - exclusion principle the number of elements common to both Sets is 10

This is a counting techniques that ensures that elements are not counted twice

It is achieved by the formula:

(A ∪ B) = n(A) + n(B) - n(A ∩ B)  

The information from the question include the following

Set A contains 48 elements

Set B contains 16 elements

The total number elements in either Set A or Set B is 54

Applying inclusion - exclusion principle gives the formula

Set A + Set B - ( Set A ∩ Set B ) = Set A ∪ Set B

substituting the values gives

48 + 16 - ( Set A ∩ Set B ) = 54

48 + 16 - 54 = ( Set A ∩ Set B )

10 = ( Set A ∩ Set B )

( Set A ∩ Set B ) = elements Sets A and B have in common

Therefore the number of the elements common to Sets A and B  is 10

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Solution:

Given:

The table of values is given:

From the table,

We see the data is a linear function. This is because a linear function has domain values at regular intervals.

Also, the linear equation can be formed as shown below, indicating it is a linear function.

Considering two points, (3,1) and (1,2)

where,

A linear equation is of the form;

From the above, has confirmed it is a linear function and not an exponential function, we can deduce that;

a) The function is not an exponential function.

b) The domain values (x-values) are at regular intervals

c) The range values (y-values) have a common difference of 1

Therefore, the correct answer is OPTION A

Given :

The principal = 3,700

Assume a simple interest

The account growing at a rate allowing the money to double every 6 years.

So,

How much money would be in the account after 14 years, to the nearest dollar?​

So, we will substitute with r = 1/6, t = 14 years

So,

Rounding to the nearest dollar

So, the answer will be $12,333

The equation of a circle is defined as

Given that the radius of the circle is 2, then the equation of the circle is

Which can then be simplified to

And we can rearrange the equation

Which means that it cannot be the equation

Tara needs to sell 20 scarves to break even.

The break-even point is the sales level that the seller must attain to make the total revenue equal to the total costs (fixed and variable).

There is no profit or loss at the break-even point (either in units or dollar values).

Selling price per unit = $18

Product cost per unit = $4

Contribution margin per unit = $14

Fixed cost per month = $280

Estimated production and sales units per month = 80 scarves

Break-even sales units = fixed costs/contribution margin per unit

= 20 ($280/$14)

Check:

Total revenue at 20 units = $360 (20 x $18)

Total costs at 20 units = $360 ($280 + $4 x 20)

Thus, for Tara to break even, she needs to sell 20 scarves per month.

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90 minutes for 3 typed pages; 60 minutes for a a typed pages write a proportion for each phrase and solve it​

we have that

90/3=60/a

solve for a

a=(60*3)/90

Find the quotient given below:

When managing complex numbers, we must recall:

Multiply and divide the expression by the conjugate of the denominator:

Multiply the expressions in the numerator and in the denominator. We can apply the special product formula in the denominator:

Operating:

Operate and simplify:

Applying the property mentioned above:

Simplifying:

Answer:

(f o g)(x) = 8x³ + 2x - 6

(g o f)(x) = 2x³ + 2x - 12

Step-by-step explanation:

f(x) = x³ + x - 6; g(x) = 2x

(f o g)(x) = f(g(x))

f(g(x)) = (2x)³ + (2x) - 6

f(g(x)) = 8x³ + 2x - 6

(g o f) = g(f(x))

g(f(x)) = 2(x³ + x - 6)

g(f(x)) = 2x³ + 2x - 12

I hope this helps!

Given that;

The blueprint shows an apartment with an area of 15 square inches.

With scale

1 inch : 8 feet

Recall that;

Area of a square is;

Let l represent the length of the side on the blueprint;

The actual length will be;

So, the actual Area will be;

substituting the valuye of the blueprint Area;

Answer:

$20,628

Explanation:

The amount that Logan will repay can be calculated as:

Where P is the amount that she will borrow, r is the annual rate and t is the time in years.

So, we can replace A by 23000, r by 6%, and t by 23/12 because a year has 12 months. Then:

Finally, to know the maximum amount that Logan can borrow, we need to solve the equation for P as:

So, the answer is $20,628

After 15 weeks Milo's weight is 39 pounds.

According to the question,

We have the following information:

Weight of Milo = 11 pounds

Milo gained weight at the rate of 2 pounds per week.

So, we have the following progression:

11, 13, 15, ....

Now, we will subtract the previous term from the next term to check whether it is an arithmetic progression or not.

15-13 = 2

13-11 = 2

So, it is an A.P.

We know that following formula is used to find the nth term:

an = a+(n-1)d where a is the first term, n is the number of term and d is the common difference

We have weight of Milo as 39 pounds.

11+(n-1)2 = 39

11+2n-2 = 29

2n+9 = 39

2n = 39-9

2n = 30

n = 30/2

n = 15

Hence, it will take 15 weeks to reach Milo's weight at 39 pounds.

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Answer:

Explanation:

Here, we want to get the measure of the angle marked AWL

The measure of this angle is simply half the measure of the big arc WHA

Mathematically, we have the measure of the angle as:

To answer this question, we need to use the next formula for simple interest:

Where:

FV is the future value we need to find (in this case).

PV is the present value, that is, $400 (in this case).

i is the interest rate. In this case, we have 8% (0.08).

n is the number of periods (n = 3, in this case).

Then, we have:

That is, the FV is $496. Therefore, the simple interest is $(496-400 = 96).

Thus, the amount of simple interest that $400 would earn at 8% per year by the end of 3 years is $96 (option A).

In other words, the result can be obtained also if we have is $400 * (0.08)*3 = $96.

Answer:

They are parallel to each other

Explanation:

Two lines are parallel if they have the same slope.

Additionally, in an equation with the following form:

y = mx + b

The number m beside the x, is the slope

So, in this case, both equations have a 3 besides the x, then, they are parallels

Apply trigonometric functions:

Cos a = adjacent side / hypotenuse

Where:

a = angle = 59°

adjacent side = 34

Hypotenuse = x

Replacing:

Cos 59 = 34 / x

Solve for x:

x = 34 / cos 59

x = 66

In January this year, 45 inches of snow. In January last year, it was 19 inches. The difference betwen the measures gives us how much more was received this year.

This difference

= 45 inches - 19 inches

= 26 inches

Answer:

So first we can assume x= 1 bc there is no number for x

Step-by-step explanation:

So we Evaluate for x=1

1+|2−1|−5

1+|2−1|−5

=−3

Evaluate for x=1

So x+|x-5|+9

1+|1−5|+9

1+|1−5|+9

=14

The position of the scuba diver is 23 1/60 feet.

From the information, the scuba diver descended 19 5/12 feet blow sea level and then he descended another 3 3/5 feet.

The position of the diver will be. the addition of the fraction for descending. This will be:

= 19 5/12 + 3 3/5

= 19 25/60 + 3 36/60

= 22 61/60

= 23 1/60

Note that your information is incomplete as the question was answered based on information given.

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To plot in the plane points with fraction number coordinates (x or y) you can rewrite the fractions as decimal numbers:

Then, you have the next coordinates;

(- 2.5, 2) and (1, -0.25)

And the next graph:

Use a line to link the points

Answer:

• Mean Slope = -7

• c=0.5

Explanation:

Given the function:

Part A

We want to find the mean slope on the interval [-6, 7].

First, evaluate f(7) and f(-6):

Next, substitute these values into the formula for the mean slope.

The mean slope of the function over the interval [-6,7] is -7.

Part B

Given the function, f(x):

Its derivative, f'(x) will be:

Replace c for x:

Equate f'(c) to the mean slope obtained in part a.

Solve for c:

The value of c that satisfies the mean value theorem is 0.5.

We have to analyze the given options to solve this problem.

Option 1.

The absolute value of -12 is larger than the absolute value of 12.

The absolute value is always a positive number:

We will have the following:

So, the equation in vertex form is:

And in standard form:

***Explanation***

We know that the quadratic expression in vertex form follows:

Where (h, k) is the vertex of the expression. Now, we know that the vertex is (2, -8), so we replace those values and we obtain:

Now, in order to determine "a" we must replace one point (That is not the vertex) in the expression and solve for "a", and we are told that the point (4, 3) is in one of the solutions, so:

Thus, the expression in vertex form is then:

And to determine the standard form, we simply expand the equation in vertex form:

There are a total of 50 numbers that are between 1 and 50. Halft of these numbers are even (divisible by 2 ) and half of then odd.

There are 25 integers that are not even and in total there are 50 integers; thereofre, the probablity of finding an even integer is

25/50 = 1/2

The most appropriate choice for linear inequation will be given by-

[tex]m > \frac{1}{2}[/tex] is the correct solution

What is linear inequation?

At first it is important to know about algebraic expressions.

Algebraic expressions consists of variables and numbers connected with addition, subtraction, multiplication and division.

Inequation shows the comparision between two algebraic expressions by connecting the two algebraic expressions by > , < , [tex]\geq, \leq[/tex]

A one degree inequation is known as linear inequation.

Here,

The given inequation is [tex]\frac{1}{2} - \frac{m}{4} < \frac{3}{8}[/tex]

Now,

[tex]\frac{1}{2} - \frac{m}{4} < \frac{3}{8}\\\\\frac{m}{4} > \frac{1}{2} - \frac{3}{8}\\\\\frac{m}{4} > \frac{4 - 3}{8}\\\\\frac{m}{4} > \frac{1}{8}\\\\m > \frac{1}{8} \times 4\\m > \frac{1}{2}[/tex]

The number line has been attached here.

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Answer:

A. angle B and angle C

Step-by-step explanation:

Line segments are named after the two points where they begin and end.

Explanation

Step 1

remember

then, to find the value of the tax, multiply 4.95 0 0.085

so, the total cost is

total =2 smoothies +(taxes for 2 smoothies)

total=(2*4.95)+(2*0.42075)

total=9.9+0.8415

total=10.7415

so, Nayebi paid $10.7415

Find the proportion between liters of fuel

that is find 22/9 = 2.444

thats how much liters have more to consume

now multiply 2.444 by 81 , the kilometers she has drived

It gives as result 2.444 x 81 = 198 kilometers