Dayshawn can choose two of his four t-shirts to take on a weekend trip.

If the t-shirts are labeled A, B, C, and D, which choice represents the sample space, S, for the event?

S = {ABCD}
S = {ABCD, DCBA}
S = {AB, AC, AD, BC, BD, CD}
S = {AB, BA, AC, CA, AD, DA, BC, CB, BD, DB, CD, DC}

Answer:

The area of the trapezoid is 56.25² feet.

Step-by-step explanation:

The formula for the area of a trapezoid is [tex]A=\frac{b+B}{2} h[/tex]

*Note: Trapezoids have 2 bases that are parallel to one another, but are not always the same length.

Using the information given to us, we can simply plug in numbers into the equation. By doing so, we'd get [tex]A=\frac{7.9+14.6}{2} 5[/tex]. By plugging this into a calculator, you'd get [tex]A=56.25[/tex].

Answer:

B.) f(x) = |x|  ,  g(x) = 9x + 2

Step-by-step explanation:

The expression f о g = H is identical to f(g(x)) = H. In other words, when you put the function g(x) in the "x" position of the f(x) function, it should look like the H(x) function.

If g(x) = 9x + 2, put the entire function in for "x" in f(x) = |x|. Once you do this, you get the function f(g(x)) = |9x + 2|.

Answer:B.) f(x) = |x|  ,  g(x) = 9x + 2

Step-by-step explanation:

The expression f о g = H is identical to f(g(x)) = H. In other words, when you put the function g(x) in the "x" position of the f(x) function, it should look like the H(x) function.

If g(x) = 9x + 2, put the entire function in for "x" in f(x) = |x|. Once you do this, you get the function f(g(x)) = |9x + 2|.

The amount of money that Phyllis invested at each given rate of 4 and 6 percent is = $394.57 and $591.86 respectively.

The time the investment lasted= 12 years.

Simple interest = 1579.05 - 800= $779.05

The principal capital= $800

Rate of the both capital invested;

= SI × 100/P ×T

= 779.05 × 100/800 × 12

= 77,905/9600

= 8.11%

To find the amount of money that Phyllis invested at each given rate,

Rate 1 = 4/8.11× 800

= 3200/8.11

= $394.57

Rate 2 = 6/8.11× 800

= 4800/8.11

= $591.86

The amount of money that Phyllis invested at each given rate of 4 and 6 percent is = $394.57 and $591.86 respectively.

Learn more about simple interest here:

https://brainly.com/question/20690803

#SPJ

The functions in order from least to greatest according to their average rates of change are function f at the interval [1,2], function h at the interval [0,2] and function g at the interval [2,3]

The rate of change is calculated using:

[tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]

For function g at the interval [2,3], we have:

[tex]m = \frac{g(3) - g(2)}{3- 2}[/tex]

This gives

[tex]m = \frac{20 - 4}{3- 2}[/tex]

[tex]m =16[/tex]

For function h at the interval [0,2], we have:

[tex]m = \frac{h(2) - h(0)}{2- 0}[/tex]

Where:

h(2) = 3(3)^2 - 9 = 18

h(0) = 3(3)^0 - 9 = -6

This gives

[tex]m = \frac{18 + 6}{2 - 0}[/tex]

[tex]m = 12[/tex]

For function f at the interval [1,2], we have:

[tex]m = \frac{f(2) - f(1)}{2- 1}[/tex]

This gives

[tex]m = \frac{12 - 6}{2 - 1}[/tex]

[tex]m = 6[/tex]

Hence, the functions are function f at the interval [1,2], function h at the interval [0,2] and function g at the interval [2,3]

Read more about average rates of change at:

https://brainly.com/question/8728504

#SPJ1

Answer:

108°

Step-by-step explanation:

From the diagram,

Angle X + Angle CXD = 180°

Angle X + 72° = 180°

Angle X = 180° - 72° = 108°

Answer:

272 c

Step-by-step explanation:

Roses by 4 every hour

10 to 1 can be represented in 24 hour time as 10 to 13

13 subtract 10 is 3

3 multiplied by 4 is 12

260 add 12 is 272 c

Answer:

x = 10[tex]\sqrt{2}[/tex] , y = 10[tex]\sqrt{6}[/tex]

Step-by-step explanation:

using the sine and cosine ratios in the right triangle and the exact values

cos60° = [tex]\frac{1}{2}[/tex] , sin60° = [tex]\frac{\sqrt{3} }{2}[/tex] , then

cos60° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{20\sqrt{2} }[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

2x = 20[tex]\sqrt{2}[/tex] ( divide both sides by 2 )

x = 10[tex]\sqrt{2}[/tex]

and

sin60° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{y}{20\sqrt{2} }[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )

2y = 20[tex]\sqrt{2}[/tex] × [tex]\sqrt{3}[/tex] = 20[tex]\sqrt{6}[/tex] ( divide both sides by 2 )

y = 10[tex]\sqrt{6}[/tex]

Answer:

if the absolute terms in the expansion of (x2+k )12 is 495 find the value of k

x​

Step-by-step explanation:

Answer:

6.23*10^6

Step-by-step explanation:

in standard form, it should be written as x*10^n, and x is only allowed from 1-9, so

1) write the first number and add a decimal point(.) and copy down the numbers behind the first number (DO NOT WRITE 0):

6.23

2) check how many numbers are they behind the first number

6230000

~~~~~~

in here, it's 6numbers, so 10^6

3) all in all, your answer is

6.23*10^6

Answer:

12 just because I need the free credit things sorry this ain't gonna be helpful lol

Inequalities help us to compare two unequal expressions. The correct option is D.

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.

It is mostly denoted by the symbol <, >, ≤, and ≥.

The sentence that correctly compares the two numbers 5.395 and 5.385 is 5.385<5.395. Hence, the correct option is D.

Learn more about Inequality:

https://brainly.com/question/19491153

#SPJ1

Answer:

a. volume= 784 is the answer

Answer:

32 goldfish

Step-by-step explanation:

Given:

Number of fish per tank = water per tank ÷ water per goldfish

                                        = 5544 ÷ 1386

                                        = 4

Therefore, each tank can hold a maximum of 4 goldfish.

Greatest number of goldfish = number of tanks × fish per tank

                                               = 8 × 4

                                               = 32

Answer:

[tex]f(x)=-x^2[/tex]

Step-by-step explanation:

Vertex form of a quadratic function:

[tex]f(x)=a(x-h)^2+k[/tex]

where:

If the vertex is at the origin, then (h, k) = (0, 0)

[tex]\implies f(x)=a(x-0)^2+0[/tex]

[tex]\implies f(x)=ax^2[/tex]

Comparing this with the answer options suggests that the function with a vertex at the origin is [tex]f(x)=-x^2[/tex]

Answer:

D) [tex]4256\pi\:\text{cm}^2[/tex]

Step-by-step explanation:

[tex]SA=2\pi r h+2\pi r^2\\\\SA=2\pi(28)(48)+2\pi(28)^2\\\\SA=2\pi(1344)+2\pi(784)\\\\SA=2688\pi+1568\pi\\\\SA=4256\pi\:\text{cm}^2[/tex]

Answer:

Surface Area = 2πrh

= 2×π×28cm×48cm

= 2688πcm^2

Answer:

see the attachment photo!

Step-by-step explanation:

B) Surface Area

C) Volume

The Area of the region bounded by curves = 9 sq.units.

Area is the space occupied by a two dimensional figure on a two dimensional space coordinate.

The two curves given are

x² + 4y - 8 = 0 and x =2y​

Convert the two equation so ‘x’ is the dependent variable.

y = -(1/4) x² +2 and y = (1/2)x

Find the limit by the intersection point of both the graph

so (-4, 2) and (2, 1)

The x-values of the line are greater so subtract the parabola:

A = ∫ (1/2)x - (-(1/4) x² +2 ) in the limits of (-4 and 1)

The Area = 9 sq.units.

To know more about Area

https://brainly.com/question/27683633

#SPJ1

The ratio [tex]\frac{Opposite}{Hypotenuse }[/tex] describes the Sine function . The correct option is C. Sine

From the question, we are to determine the function that the ratio of opposite to hypotenuse describes

By SOH CAH TOA

We have that

[tex]Sine = \frac{Opposite}{Hypotenuse }[/tex]

[tex]Cosine = \frac{Adjacent}{Hypotenuse }[/tex]

and

[tex]Tangent = \frac{Opposite}{Adjacent}[/tex]

Hence, the ratio [tex]\frac{Opposite}{Hypotenuse }[/tex] describes the Sine function . The correct option is C. Sine

Learn more on Trigonometry here: https://brainly.com/question/956353

#SPJ1

Answer:

The answer is Triangle C

Step-by-step explanation:

Step-by-step explanation:

(2x4 +7) + (5x4 - 4)

=(8+7) + (20-4)

=15+16

= 31

Hope it helps

Answer: Heyaa! ~

Your Answer is... 31!

Step-by-step explanation:

(2x4 +7) + (5x4 - 4) = 31/ 7x⁴+3

Hopefully this helps you ! ^^

Family background refers to the culture and tradition of the family into which a person is born.

Family background refers to the culture and tradition of the family into which a person is born. it is worthy of note that most of this family traditions are unspoken yet are firmly entrenched in the psyche of individual as he/she grows.

My family is strictly conservative having  had a Southern Baptist orientation. My dad believes deeply in  religion and a moralist and perfectionist.

As a  result of this, I find myself always grappling with the unfortunate disorder in the world; always trying to bring order to my world as much as I can.

Learn more about family background:https://brainly.com/question/7105836

#SPJ1

In a circle H with a measure of angle ∠GKJ = 27°. Then the measure of angle ∠GHJ will be 54°

It is the center of a line drawn from the center to an equidistant location. The space between the center and the periphery of a circle is measured in radius.

In a circle H with a measure of angle ∠GKJ = 27°.

Then the measure of angle ∠GHJ will be

We know that a chord's slope in the center is double that of the chord's slope at the perimeter.

Then we have

∠GHJ = 2 x ∠GKJ

∠GHJ = 2 x 27°

∠GHJ = 54°

More about the circle link is given below.

https://brainly.com/question/11833983

#SPJ1

Answer:

f(4) = 1612

Step-by-step explanation:

using the recursive formula and f(1) = 3 , then

f(2) = f(1)² + 3 = 3² + 3 = 9 + 3 = 12

f(3) = f(2)² + 3 = 144 + 3 = 147

f(4) = f(3)² + 3 = 147² + 3 = 1609 + 3 = 1612