Find the surface area of the composite figure.

Answer:

119 cm^2

Step-by-step explanation:

To find the area of the white border, simply find the area of the outside rectangle and subtract the middle(dark) rectangle's area from that value.

White rectangle: 15x9 = 135

Dark rectangle: 8x2 = 16

135 - 16 = 119 cm^2
The unit is squared when finding the area of a two dimensional figure.

[tex]\sf f(x) = 3 \ * \ 2^x[/tex]

insert x = -2

[tex]\sf f(-2) = 3 \ * \ 2^{-2}[/tex]

[tex]\sf f(-2) = 3 \ * \ \dfrac{1}{4}[/tex]

[tex]\sf f(-2) = \dfrac{3}{4}[/tex]

option D. 3/4 will be the correct answer.

[tex]\\ \rm\Rrightarrow f(x)=3.2^x[/tex]

[tex]\\ \rm\Rrightarrow f(-2)[/tex]

[tex]\\ \rm\Rrightarrow 3.2^{-2}[/tex]

[tex]\\ \rm\Rrightarrow 3(1/4)[/tex]

[tex]\\ \rm\Rrightarrow 3/4[/tex]

Answer:

y = 0 , y = - [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

- 32y² - 24y = 0 ← factor out - 8y from each term

- 8y(4y + 3) = 0 equate each factor to zero and solve for y

- 8y = 0 ⇒ y = 0

4y + 3 = 0 ⇒ 4y = - 3 ⇒ y = - [tex]\frac{3}{4}[/tex]

Answer: 31/83  (decimal form 0.373494)

Step-by-step explanation:

Answer:

C: f(x) = 0.5(x-4)^2-5

Step-by-step explanation:

I graphed each function on Desmos, and matched it up with option C:

Answer:

the answer is C

Step-by-step explanation:

c: f(x)=0.5(x-4)^2-5

The equation that relates the number of campers this year to the number of campers last year is c = 440 / 1.10

The number of campers last year is 400.

Percentage can be described as a fraction out of an amount that is usually expressed as a number out of hundred. Percentages are used to measure frequency.

The number of campers last year = number of campers this year / (1 + percentage increase)

440 / 1.1 = 400

To learn more about percentages, please check: https://brainly.com/question/25764815

Answer:

g(x) = 4x + 5

Step-by-step explanation:

f(x) + g(x) = 10x + 7 , then

6x + 2 + g(x) = 10x + 7 ← subtract 6x + 2 from both sides

g(x) = 10x + 7 - 6x - 2 ← collect like terms

g(x) = 4x + 5

Let's find

Option D

Answer:

I think he made a mistake in the first one

Step-by-step explanation:

Marcel made an error which is both terms aren’t multiplied by 8x, so 8x can’t go in front of the parentheses" option (A) is correct.

The distributive property is the property that expresses the distributive law of algebraic multiplication. Similarly, in polynomial expression we can use the distributive property, for example, we can write a(c+b)  in the form of (ac+bc).

The expression is:

= 32x - 16

= 8x(4) - 2(8)

= 8(4x - 2)

The error is "both terms aren’t multiplied by 8x, so 8x can’t go in front of the parentheses"

Thus, Marcel made an error which is both terms aren’t multiplied by 8x, so 8x can’t go in front of the parentheses" option (A) is correct.

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To find the slope, we must have two points

   --> Two points: (-3,1) and (-1, -5)

The slope's formula is -->  [tex]\frac{y2-y1}{x2-x1}[/tex]

So the slope = [tex]\frac{-5-1}{-1--3} =\frac{-6}{2} =-3[/tex]

The line graphed below has a slope of -3

Hope that helped!

Answer:

- (a + b)^2

- (b + c)^2

- (a - b + c) (a + b + c)

The answer is given in the photos below (for verification),

I hope my answer helps you.

Answer:

4A - 8 = 3A + 4

Step-by-step explanation:

Answer:

31/5

Step-by-step explanation:

3x+9=-2x+40

when you solve the equation, you get 31/5!

Please mark as brainliest if you can. Hope this helps!

Based on the amounts that Jack invested into the different investment vehicles, the amount Jack earns a year would be $1,132.87.

The amount invested is:

= 2 / 3 x 15,000

= $10,000

Amount after a year:

= Amount x e ^ (rate x time)

= 10,000 x e ⁰.⁰⁸ ˣ ¹

= $10,832.87

Amount invested:

= 1/3 x 15,000

= $5,000

Amount after a year:

= 5,000 x (1 + 6%)

= $5,300

= (10,832.87 + 5,300) - 15,000

= $1,132.87

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Find out more on continious compounding at https://brainly.com/question/3932907.

Length of AB is not given so insufficient info provided

Let's see how to solve then

Scale factor is 3/2 means 3/2 is multiplied with AB to form A'B'

If length of AB is n the. then length of A'B' is 3n/2

Answer:

[tex] - 12[/tex]

Step-by-step explanation:

[tex]x1 = x \: \: y1 = 3 \\ x2 = 4 \: \: y2 = 3 \\ distance \: betwen \: two \: points = \sqrt{(x2 - x1) {}^{2} +( y2 - y1) {}^{2} } \\ 16= \sqrt{(4 - x) {}^{2} + (3 - 3) {}^{2} } \\ 16 = \sqrt{(4 - x) {}^{2} + 0} \\ 16 = \sqrt{(4 - x) {}^{2} } \\ 16 = 4 - x \\ 16 - 4 = - x \\ 12 = - x \\ x = - 12[/tex]

Answer:

First option

Step-by-step explanation:

The expression can be simplified to:

[tex]\frac{8g^{15} }{64h^6}[/tex] = [tex]\frac{g^{15} }{8h^{6} }[/tex]

You can't simplify this further since the indices if you think about it is g 15 times or h 6 times so you can't simply them further.

Answer: The answer you would be looking for is A. D. E.

Step-by-step explanation:

I hope i helped and can i have brainliest please <3

Answer: your obviously going to need to use the method a2+b2=c2

Try to calculate the radius if not given to you.

Step-by-step explanation:

In order to use the Pythagorean Theorem, you must know the lengths of at least 2 sides (any 2 sides, but it has to be 2.) of the triangle and know that the measure of one of the angles is 90 degrees.

Answer: Most likely it is A

Step-by-step explanation:

Although it should be B, because a non linear function doesn't  have a rate of change. I already looked up this question many times so we know It's NOT C.

The best modeled by a nonlinear function with time as the independent variable is:

The value of a collectible baseball card that increases by a constant factor of 1.1, or by 10%, each year.

A nonlinear function is one that does not follow a straight line.

In this case, t

A) describes a linear function since the value of the gift card decreases by a fixed amount each month, resulting in a straight-line relationship.

B) describes a constant value, which is a special case of a linear function where there is no change over time.

C) The value of the collectible baseball card increases by a constant factor of 1.1 each year, which results in exponential growth. This behavior is best modeled by a nonlinear function.

D) describes a linear function since the value of the investment increases by a fixed amount each week, resulting in a straight-line relationship.

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Answer:

y = 5x + 3

Step-by-step explanation:

If the slope is 5 and the y-intercept is 3, we can substitute the value of the variables into the formula.

y = mx + b

y = (5)x + 3

y = 5x + 3

I hope this helps!

Answer:

Step-by-step explanation:

Each number has initially 10 options.

If one option used for the first number then the second number has one less, 9 options. Similarly, the third number has one less number of options than the second number, 8 options.

Total number of combinations is

Answer:

Yes, Chen is correct.

Step-by-step explanation:

Chen has 1/4 chance of getting a 4, whereas Megan has 1/5 chance of getting a 4.

1/4 = 0.25

1/5 = 0.20

Therefore, Chen is correct.

Answer: Choice E

[tex]x \ne -4, -1[/tex]

This is the same as saying [tex]x \ne -4 \text{ and } x \ne -1[/tex]

======================================================

Reason:

If we plugged x = -4 into the function, then the x+4 in the denominator turns to 0.

x+4 = -4+4 = 0

Dividing by zero is not allowed. It leads to a division by zero error. Therefore, we need to exclude -4 from the domain. Similar reasoning will exclude -1 as well because it makes the x+1 in the denominator to be zero.

Any other x value is valid.

Side note: The (x+1) terms cancel, which may appear that x = -1 is valid. However, your calculator will likely not perform such a simplification. It will simply try to directly compute the result using PEMDAS. That means x = -1 is likely to produce a division by zero error.

k²= 6²+5²

k²= 36+25

k²= 61

k= V61

k=7.81

Answer:

The type of function is cexponential and Alinear

Answer:

The square below represents one whole.

What percent is represented by the shaded area?

The square below represents one whole.

What percent is represented by the shaded area?The square below represents one whole.

What percent is represented by the shaded area?The square below represents one whole.

What percent is represented by the shaded area?The square below represents one whole.

What percent is represented by the shaded area?vvvvStep-by-step explanation:

Answer:

6/12 of a mile

Step-by-step explanation:

7/12-1/12=16/12

Answer:

159°

Step-by-step explanation:

Angle 21° and <4 are supplementary angles!

21 + x = 180

x = 159°

Hope this helps!

The measure of angle ∠4 is 159.

The angles that are in the same position on a given two parallel lines intersected by a transversal line are called the corresponding angles.

Corresponding angles are always equal.

We can also have alternate angles which are always equal.

We can also have alternate interior and exterior angles which are equal.

The angles on the same side make upto 180 degrees

We have,

From the figure,

The angle opposite to 21° and ∠4  sum is 180.

This means,

Angles on the same side.

Now,

Opposite angles are equal.

So,

21 + ∠4 = 180

∠4 = 180 - 21

∠4 = 159

Thus,

The measure of angle ∠4 is 159.

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Answer:

Use the formula of Range Large-Small Data

I think it will help you.