Find the area of the shaded region.

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Explanation:

The expression g(f(2)) has f(2) as the inner function.

Let's compute f(2)

This means we plug x = 2 into the f(x) function

f(x) = 4x^3 - 10

f(x) = 4(x)^3 - 10

f(2) = 4(2)^3-10

f(2) = 4*8-10

f(2) = 32-10

f(2) = 22

Now we'll plug this into the g(x) function

This is because g(f(2)) = g(22). I've replaced f(2) with 22

So,

g(x) = (3x-4)/2

g(22) = (3*22-4)/2

g(22) = (66-4)/2

g(22) = 62/2

g(22) = 31

Therefore, g(f(2)) = 31

The value of the function g(f(x)) at x = 2 will be 31. Then the correct option is D.

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The functions are given below.

f(x) = 4x³ - 10

g(x) = (3x - 4) / 2

The function g(f(x)) is written as,

g(f(x)) = [3(4x³ - 10) - 4] / 2

g(f(x)) = [12x³ - 30 - 4] / 2

g(f(x)) = [12x³ - 34] / 2

g(f(x)) = [6x³ - 17]

The value of the function g(f(x)) at x = 2 will be given as,

g(f(2)) = [6(2)³ - 17]

g(f(2)) = 6(8) - 17

g(f(2)) = 48 - 17

g(f(2)) = 31

The value of the function g(f(x)) at x = 2 will be 31. Then the correct option is D.

More about the function link is given below.

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Answer:

-3

Step-by-step explanation:

An even number of negative numbers will give a positive answer. An odd number of negative numbers will give a negative answer.

13-16, 16 is larger than 13 so it's negative

Answer:

Www

Step-by-step explanation:

Answer:

×2y aquel 2minus ×plus y equals negative1

Answer:

Kendall is 24 and Jamal is 15.

Step-by-step explanation:

39 - 9 = 30

30 ÷ 2 = 15

15 is Jamal's age.

15 + 9 = 24

24 is Kendall's age.

Answer:

A. 3

Step-by-step explanation:

The formula for slope is (y2-y1)/(x2-x1), for two points (x1,y1) and (x2,y2) on the line.

Our points are (-1,-1) and (1,5):

(5-(-1))/(1-(-1))

6/2

3

The slope of the line shown below is 3.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the

change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

We have,

Points from the graph (1, 5) and (-1,-1).

So, the slope of line

= (-1 - 5)/ (-1 - 1)

= -6 / (-2)

= 3

Thus, the slope of line is 3.

Learn more about Slope here:

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Answer:

3

Step-by-step explanation:

it passes the vertical line test

hope this helps have a good day!

Given:

Five points P, Q, R, S ,T on a coordinate plane.

To find:

The coordinates of (i) P, (ii) Q, (iii) T, (iv) (Ordinate of T) – (Abscissa of R) and (v) (Abscissa of Q) – (Ordinate of S).

Solution:

From the given graph it is clear that the coordinates of given points are

P = (1,1)

Q = (-3,0)

R = (-2,-3)

S = (2,1)

T = (4,-2)

(i)

Coordinates of point P are (1,1).

Therefore, the correct option is (a).

(ii)

Coordinates of point Q are (-3,0).

Therefore, the correct option is (b).

(iii)

Coordinates of point T are (4,-2).

Therefore, the correct option is (c).

(iv)

Ordinate is y-coordinate and abscissa is x-coordinate.

Ordinate of T = -2

Abscissa of R = -2

(Ordinate of T) – (Abscissa of R) = -2 - (-2)

                                                     = -2 + 2

                                                     = 0

Therefore, the correct option is (c).

(v)

Abscissa of Q = -3

Ordinate of S = 1

(Abscissa of Q) – (Ordinate of S) = -3 - 1

                                                      = -4

Therefore, the correct option is (a).

Answer:

4) wall = 114 ft^2

$118.56 to paint

5) 77 cm^2

Step-by-step explanation:

4) (15 x 8)-(2 x 3)=120-6=114 ft^2

114 x $1.04 = $118.56

5) (14 x 3.5) + (8 x 3.5) = 49 + 28 = 77 cm^2

Answer:

4:

114,$118.56

5. 77

Step-by-step explanation:

To find the area of the wall, you multiply 15 x 8, then subtract (2 x 3) from that answer.

15 x 8 = 120

120 - (3 x 2) =

120 - 6 = 114ft^2

To find the cost, multiply the area by the cost:

1.04 x 114 = $118.56

Since the side with 3.5 cm is congruent with another side, that means that side is also 3.5 cm. I like to break up the figure in this situation, into 2 rectangles. The first is 8 cm x 3.5 cm, and the other being 3.5 cm x 14 cm.

8 x 3.5 = 28 cm^2

14 x 3.5 = 49cm^2

Add together to get the area:

49 + 28 = 77 cm^2

Answer:

6x^5 + 11x^3 - 12x^2 - 10x + 8

Step-by-step explanation:

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

Ok, so we need to do an advanced version of FOIL. We need to multiply -3x^2 by the other three numbers, then the same with 2. Then we add up like terms.

-3x^2 x -2x^3 = 6x^5

-3x^2 x -5x = 15x^3

-3x^2 x 4 = -12x^2

Now to do 2 x -----.

2 x -2x^3 = -4x^3

2 x -5x = -10x

2 x 4 = 8

Last, but not least, we combine like terms.

6x^5 + 11x^3 - 12x^2 - 10x + 8

Answer:

$55.00

Step-by-step explanation:

$6.50 (8) + $3 = $55.00

Answer:

85.99% of airline passengers incur this fee.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Mean 46 pounds and standard deviation 3.7 pounds.

This means that [tex]\mu = 46, \sigma = 3.7[/tex]

Most airlines charge a fee for baggage that weigh in excess of 50 pounds. Determine what percent of airline passengers incur this fee.

As a proportion, this is 1 subtracted by the pvalue of Z when X = 50. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{50 - 46}{3.7}[/tex]

[tex]Z = 1.08[/tex]

[tex]Z = 1.08[/tex] has a pvalue of 0.8599

0.8599*100% = 85.99%

85.99% of airline passengers incur this fee.

Answer:

y=68

Step-by-step explanation:

Answer:

y = 68

Step-by-step explanation:

We have the expression y over -2 = -34 and are asked to solve or y.

To solve, we need to isolate for y :

y/-2 = -34

Multiply -2 from both sides :

[tex]\frac{y}{-2} *-2=-34*-2[/tex]

[tex]y = 68[/tex]

Answer:

77.2°

Step-by-step explanation:

Consider the triangle JKR.

∠KJR=108.6 (lies on the same line as ∠RJA, angles on a straight line add up to 180)

All the angles in a triangle add up to 180, so:

∠JKR+∠KJR+∠JRK=180

∠JKR+108.6+32.8=180

∠JKR=38.6=∠RKA

Consider ∠RKA. This angle stands on the same arc as ∠RCA.

Since the angle at centre is twice the angle at circumference, 2(∠RKA) = ∠RCA.

2(∠RKA) = ∠RCA

2(38.6)=∠RCA

∠RCA=77.2°

Answer:

5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

2 raised to 4 =2×2×2×2 =16. ; 3 raised to 2 =3×3=9.

=16-9-2

=5

That's it , Very easy

Answer:

[tex]A = (5,3)[/tex]

[tex]B = (-5,3)[/tex]

[tex]C = (-5,-8)[/tex]

[tex]D = (5,-8)[/tex]

Step-by-step explanation:

Required

[tex]Perimeter = 42[/tex]

Construct a rectangle whose perimeter is 42 units and satisfies the given conditions.

First, name the rectangle ABCD.

Such that:

[tex]A = (x_1,y_1)[/tex]

[tex]B = (x_2,y_2)[/tex]

[tex]C = (x_3,y_3)[/tex]

[tex]D = (x_4,y_4)[/tex]

For the rectangle to be either horizontal or vertical, then:

[tex]y_1 = y_2[/tex] and [tex]y_3 = y_4[/tex]

We have that:

[tex]Perimeter = 42[/tex]

Replace perimeter with its formula

[tex]2(AB + BC) = 42[/tex]

Divide both sides by 2

[tex]AB + BC = 21[/tex]

This implies that, the distance between adjacent sides (through the edges) must be equal to 21

Having said that: a set of coordinates that satisfy the given conditions are:

[tex]A = (5,3)[/tex] -- First quadrant

[tex]B = (-5,3)[/tex] -- Second quadrant

[tex]C = (-5,-8)[/tex] -- Third quadrant

[tex]D = (5,-8)[/tex] -- Fourth quadrant

The above quadrants satisfy the condition:

[tex]y_1 = y_2[/tex] and [tex]y_3 = y_4[/tex]

HOW TO KNOW THE PERIMETER IS 42

To do this, we simply calculate the distance between the edges and add them up

Distance is calculated as:

[tex]D = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2[/tex]

For AB

[tex]A = (5,3)[/tex]

[tex]B = (-5,3)[/tex]

[tex]D_1 = \sqrt{(5 - (-5))^2 + (3 - 3)^2}= \sqrt{(10)^2 + (0)^2} = \sqrt{100} = 10[/tex]

For BC

[tex]B = (-5,3)[/tex]

[tex]C = (-5,-8)[/tex]

[tex]D_2 = \sqrt{(-5 - (-5))^2 + (3 - (-8))^2}= \sqrt{(0)^2 + (11)^2} = \sqrt{121} = 11[/tex]

For CD

[tex]C = (-5,-8)[/tex]

[tex]D = (5,-8)[/tex]

[tex]D_3 = \sqrt{(-5 -5)^2 + (-8 - (-8))^2}= \sqrt{(-10)^2 + (0)^2} = \sqrt{100} = 10[/tex]

For DA

[tex]D = (5,-8)[/tex]

[tex]A = (5,3)[/tex]

[tex]D_4 = \sqrt{(5 -5)^2 + (-8 -3)^2}= \sqrt{(0)^2 + (11)^2} = \sqrt{121} = 11[/tex]

So, the perimeter is:

[tex]P = D_1 + D_2 + D_3 + D_4[/tex]

[tex]P = 10 + 11 + 10 +11[/tex]

[tex]P = 42[/tex]

See attachment for rectangle

Solution :

Given :

National mean score of the reading test that is conducted the NAEP = 288

Standard deviation of the score = 38

Therefore, P(X > x) = 0.25

P (Z > [tex]$\frac{x-288}{38} $[/tex] = 0.674)

[tex]$\frac{x-288}{38} = 0.674$[/tex]

[tex]$x=288+(38 \times 0.674)$[/tex]

x = 326.67

Therefore, the highest score that is needed for the students to be in the top of 25 percent among the students those who take the exam.

Answer:

907.5

Step-by-step explanation:

Formula to find the area of a circle: πr²

πr² = 3.14 x 17²

     = 3.14 x 289

     = 907.46

     ≈ 907.5

Hope this helps :)

Answer:

last one, the same X cant have more than one Y.

Answer:

A

Algebra For what values of the variables must ABCD be a parallelogram?

B

23. A 2y + 2 B 24. B

(3x + 10)

(8x + 5)º

3x + 6

54°

D

С

D

A

Зу - 9 с

ly+4

Answer:

a

Step-by-step explanation:

Answer:

What statements?

Step-by-step explanation:

Is there a list of statements for this question? I would love to help!

Answer:

Option (3)

Step-by-step explanation:

Surface area of a cylinder is given by the formula,

Surface area = 2πr(r + h)

Here, r = radius of the circular surfaces

h = Height of the cylinder

From the figure attached,

r = 8 in.

h = 8 in.

Therefore, Surface area of the cylinder = 2π(8)(8 + 8)

                                                                 = 256π

                                                                 = 803.8 in² [If π = 3.14]

Option (3) will be the correct option.

Answer:

pesaria 2.25 kilos

explicacion

Answer:

The new navigation height of the submarine is -62.25 feet.

Step-by-step explanation:

Given that a submarine travels at an elevation of -75 3/4 ft relative to sea level, and then its elevation changes by -16 3/8 ft, to determine what is the new elevation of the submarine the following calculation must be performed:

3/4 ft = 0.75 ft

-75 x 0.75 = -56.25 ft

3/8 ft = 0.375 ft

-16 x 0.375 = -6 ft

-56.25 + -6 = -62.25

Thus, the new navigation height of the submarine is -62.25 feet.

Answer:

True

Step-by-step explanation:

Because I did this.

Answer:

383

Step-by-step explanation:

Answer:

y=-2/7x+1/7

Step-by-step explanation:

Find the slope first

-1-1/4+3

-2/7

m=-2/7

y=-2/7x+b

1=-2/7(-3)+b

b=1/7

Answer:

The answer is 1/3

Step-by-step explanation:

Reduce the expression, if possible, by cancelling the common factors.

~Hoped this helped~