Given two functions f(x) and g(x):f(x) = 8x - 5,8(x) = 2x2 + 8Step 1 of 2 Form the composition f(g(x)).Answer 2 PointsKeypadKeyboard Shortcutsf(g(x)) =>Next

To find the Z a/2 for the 96% confidence. We write the confidence level in decimal form, in this case 0.96.

Now:

and then:

Now we subtract this value to 0.5 to know the value we need to find in the Z table:

Now we look at the Z table for this value, by finding we notice that this happens when Z=2.05.

Therefore the Z a/2 value is 2.05

Right Triangles

A right triangle is recognized because it has an interior angle of 90°.

In right triangles, the Pythagora's Theorem is satisfied.

Being a and b the shorter sides (also called legs) of the triangle, and c the longer side (called hypotenuse), then:

The triangle shown in the image has the two legs of values a=15 and b=8. The hypotenuse is c=x, thus:

Operating:

Solving for x:

x = 17

Answer: i donno

Step-by-step explanation:

ask Professor Ahmad Shaoki

There are 10730 students total as shown in the bottom right hand corner. So, the probability that the student receives aid and is a graduate is given by:

Round to the nearest percent is 17.5%

Answer: 17.5%

Answer:

There are a total of 10730 students and 1879 students who are graduates as well as receiving financial aid. So the probability would be

(1879/10730)*100 = 17.51%

The set of values {A = 0, B = 1, and C = 2} to have a completely horizontal line.

A horizontal line is defined as a line with slope m = 0 that is parallel to the x-axis.

A horizontal line across (-4,2) informs us of two things.

A horizontal line with slope m = 0 is parallel to the x-axis.

The line crosses the point (-4,2).

Ax + By = C has m = B/A = 0 slope and intersects point (-4,2).

Then, B = A×0 indicates that any constant A will work, and the Ax term disappears.

Ax + By = C then becomes y = C. To find C, use the point (-4,2).

⇒ C = 2

This line's equation is y = 2, and any point (x,2) matches the equation.

Therefore, the set of values {A = 0, B = 1, and C = 2} to have a completely horizontal line.

Learn about the lines here :

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Answer:

Step-by-step explanation:

17

Given the function with a graph that shows the cost of belonging to the club as a function of CDs purchased

linear function with the form

since the new graph has a new cd cost up by $1.00

then the new line is

Correct answer

Option C

we make an expression

we know that if we multiply to twelve by the ratio of increase we will obtain 17

now solve for x that is the ratio

multiply by 100 to obtain a percentage

the percentage is 142%

Explanation

you need to select the correct function depending on the number

i)f(-10)

Let x= -10, replacing

Step 2

Now

ii) f(2)

x=2,replacing

Step 3

iii) f(-5)

Let

x=-5,replace

Step 4

iv)f(-1)

let

x=-1,replace

Step 5

Finally

F(8)

Let

x=8,replace

I hope this helps you

Given the two sets:

we can write the product set of A and B in the following form:

next, we have that the number of elements in A is 2 and the number of elements in B is 3, then, we have:

finally, the equation that involves the numerals of the previous parts is:

where n(A) and n(B) represents the number of elements in A and B respectively.

Answer:

Explanation:

Given the sequence with the recursive formula:

First, we determine the first three terms in the sequence.

Therefore, the first three terms of the sequence are: 7, 14 and 28.

This is a geometric sequence where:

• The first term, a=7

• The common ratio, r =14/7 = 2

We use the formula for the nth term of a GP.

The explicit formula for the sequence is:

Explanation:

To know how much ice pop mixture can each mold hold, we need to calculate the volume of the mold.

The volume of a cone is equal to

Where r is the radius and h is the height of the cone. Replacing r = 2 cm and h = 15 cm, we get:

Therefore, the answer is

A. 20

To solve for x, we need to apply distributive property as:

Answer: x = 0

Answer:

Step-by-step explanation:

In math, a group is a set equipped with an operation that combines any two elements of the set to produce a third element of the set.

Therefore, for 4 groups of a number.

Let x be the missing number

So, 4 multiply x:

Given:

If |x|=x that mean here x is grater then zero.

E is move -4 to 4 and F is grater then zero that mean multiplication of the function is obtaine all real value:

Step 1

To graph the function y= -5x

we set x=1 and y=0 individually.

Given:

Each of these halves is to be cut into fourths.

So:.

A pizza is to be cut into halves

since half is represented by 1/2.

So each piece is now

If each of these halves is to be cut into fourths, then the fraction of final pieces is:

Answer:

1/8

Step-by-step explanation:

Fractions

We have 1/2

!/2 is to be cut in 1/4

1/2 * 1/4 = 1/8

a=6

1) Given that we have M (-2, a), N(0, -2), and the gradient -4. Let's start by applying the formula for the gradient.

G = (y_2 - y_1 ) / (x_2- x_1)

2) So "a", the second coordinate of point M is equal to 6, and as the gradient is a negative number indicates a "downhill" a decreasing direction of that line.

The total amount the WHMS would be charged for adults and students to eat is

115.5 + 712.5 = $828

We were told that WHMS will leave a 10% tip. Recall that percentage is expressed in terms of 100. This means that the amount of money that WHMS will leave for the tip​ is

10/100 * 828 = $82.8

WHMS would leave $82.8 for the tip

Answer: Area = l × w

= 3.5 × 2.8

= 9.8 meters2

Step-by-step explanation:

ANSAWER:

−15+8i

Explanation:

First, you can expand the square of the bynomial:

Answer:

Explanation:

Answer:

<A=32°

Explanation:

<BEC = 90° because it has the red half square and we know that <DCE = 42°. <ACB= 2x because <ACD and <DCB both =x. The equation we would set up is

90+(42+x) +2x=180

We get x=16.

Since <ACB = 2x we multiple 16 by 2

16*2=32

So <ACB =32°

ANSWER:

Juwan has 19 dimes and 6 quarters in his pocket.

STEP-BY-STEP EXPLANATION:

From the statement we can establish the following system of equations:

Taking into account that one dime is 10 cents and a quarter is 25 cents.

Let x be the number of dimes

Let y be the number of quarters

We solve the system of equations by means of the substitution method, we substitute equation (1) in (2):

Therefore they are 19 dimes and 6 quarters

We have the following:

solving:

Therefore, the answer is [B] 12

Given:-

To find:-

Wheather the given sides form a valid triangle.

So now let,

To check we use the condition,

Substituting the values we get,

In the above condition 12+7>20 is wrong.

So the condition fails and the given sides doesnt form a triangle.

To find the coefficients we first need to make the multipliation on the left expression:

Then we have:

Two polynomials are equal if and only if their coefficients are equal, this leads to the following equations:

From the first one it is clear that the value of a is 2, from the last one we have:

Plugging the value of a in the second one we have:

Therefore, we conclude that a=2, b=1 and c=-1 and the correct choice is D.

Input data

Now for cos(a+b)

Diagonals of a rhombus bisect each other at right angles, This means that

Okay, here we have this:

Considering the provided information, we are going to identify approximately how far is the pizza place from the school, so we obtain the following:

Then from the given information we can identify that the pizzeria can be 5 miles in the same direction from the school or 5 miles in any other direction,

This means that in the best case the distance from the pizzeria to the school is 5 miles (if it is halfway), and in the worst case it is 15 miles (if it is in a completely opposite sense).

And in an average case it can be at an angle other than 180 degrees, with which the distance would be between 5 and 15 miles, therefore the correct answer is:

The pizza place is between approximately 5 to 15 miles away from school.