Suppose I have an organization that has 60 people, 35 are women and 25 are men. We need to select a committee of 11 people. How many ways can such a committee be formed

To solve f(g(6)):

 ⇒ we solve for g(6) first

    ⇒ then plug the value of g(6) into the 'x' position of f(x)

Let's Solve:

         [tex]g(6) = \frac{1}{2}[/tex]

    2. Plug g(6)'s value into f(x)

         [tex]f(g(6))=f(\frac{1}{2} )=10(\frac{1}{2} )-4=5-4=1[/tex]

Thus f(g(6))'s value is 1

Answer: 1

Hope that helps!

Answer:

4×<=20

×<=5

AAAAA single Cupcake can cost at most $5.

Step-by-step explanation:

Answer:

that’s 700 divided by 0.54 or 700 x 0.54

Step-by-step explanation:

Answer:

that’s 700 divided by 0.54 or 700 x 0.54

Step-by-step explanation:

Answer:

135 ft^3

Step-by-step explanation:

Volume of a rectangular prism is basically just width x height x depth. So the area of the base multiplied by the height. 15 x 9 = 135

Answer: 135 ft³

Step-by-step explanation:

     Volume, when dealing with a rectangular prism, is L * W * H

-> L * W can simplify to the base, as it does in the problem given to us.

V = (L * W) * H

V = B * H

V = 15 * 9

V = 135 ft³

          The rectangular prism has a volume of 135 ft³.

Answer: a

Step-by-step explanation:

Converting using the scale 1 in = 15 yd, we get that the dimensions of the park are 22.5 inches by 37.5 inches.

So, converting this back using 1 inch to 10 yards, we get dimensions of 2.25 inches by 3.75 inches.

Answer:

9

Step-by-step explanation:

[tex] \frac{6 + 2x}{4} = 6 \\ 6 + 2x = 6(4) \\ 2x = 24 - 6 \\ x = \frac{18}{2} \\ x = 9[/tex]

Step-by-step explanation:

similar triangles means that all angles in one triangle are exactly the same as the angles in the other triangle.

and the lengths of all sides of one triangle have the same scaling factor with the lengths of the sides of the other triangle.

so, when we compare the "features" of the triangles, we see that C corresponds to S, B to R and D to T.

so, DC (50) corresponds to TS (70).

and that means that CB (60) corresponds to SR (11x - 4).

the scaling factor from BCD to RST is 70/50 = 7/5.

that means DC × 7/5 = TS.

and CB × 7/5 = SR :

60 × 7/5 = 11x - 4

12 × 7 = 11x - 4

84 = 11x - 4

88 = 11x

x = 8

Answer:

Answer is A and F.

Step-by-step explanation:

To form a triangle the sum of any 2 sides must be greater than the third side.

The answer is not:

B as 5 + 12 < 19

C. as 5+5 < 12

D,  as 7 + 5 = 12

E as 5 + 12 = 17

Answer is A and F.

Answer:

x + 8 = 13

3x - 2 = 13

The solution set of both equations is {5}.

Step-by-step explanation:

x + 8 = 13

3x - 2 = 13

Answer:

£25

Step-by-step explanation:

100 - 15 = 85

53.55 ÷ 0.85 = 63

63 - 38 = 25

Explanation:

A quadrilateral has four sides, and each side is a straight line.

Quad = 4

Lateral = side

This means we go for choices A and C.

Choice B is ruled out because of the curved side on the right.

Choice D is ruled out because it has 5 sides instead of 4.

Answer:

She will practice about 960-1200 dives before those competitions in total

Step-by-step explanation:

All you have to do is multiply the number of dives by the number of competitions she has.

Answer:

b

Step-by-step explanation:

eg2022

Answer:

15

Step-by-step explanation:

471.3 = 3.142×10×H

H= 471.3÷31.42

H=15

Slope of a function is defined as the rate of change of a function. It determine the unit price of values or amount traveled in unit time.

Slope of a function is defined as the rate of change of a function. It determine the unit price of values or amount traveled in unit time.

The formula for expressing the slope of a function is given as;

f'(x) = f(b)-f(a)/b-a

a and b are the intervals

The slope can also be expressed as a function of its coordinate (x, y)

Slope = y2-y1/x2-x1

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Answer:

the increase in pressure per meter of depth and the next question is the pressure at the oceans surface

Step-by-step explanation:

edge 2022

Answer:

Step-by-step explanation:

2cm = 2 * 10 mm

2 cm = 20 mm

for every 15 mm of colored fabric, Gavyn uses 20 cm of white fabric.

The ratio is expressed as white fabric to colored fabric.

Answer: Ratio white to colored = 20 / 15 = 4 / 3

Answer:

its 4.951 x 106

Step-by-step explanation:

i took the tfar from k12

The area of a piece of land in scientific notation is 4.95 * 10⁶ square meters

from the question, we have the following parameters that can be used in our computation:

Area = 4,951,000 square meters

To write the area in square meters in scientific notation, we have

Area = 4.95 * 1,000,000 square meters

So, we have

Area = 4.95 * 10⁶ square meters

Hence, the area is 4.95 * 10⁶ square meters

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Answer:

[tex]f^{-1}[/tex] (59) = 20

Step-by-step explanation:

[tex]f^{-1}[/tex] (x) is the inverse of f(x)

to find the inverse function, let f(x) = y and rearrange to make x the subject.

y = 3x - 1 ( add 1 to both sides )

y + 1 = 3x ( divide both sides by 3 )

[tex]\frac{y+1}{3}[/tex] = x

change y back into terms of x with x = [tex]f^{-1}[/tex] (x) , then

[tex]f^{-1}[/tex] (x) = [tex]\frac{x+1}{3}[/tex] , then

[tex]f^{-1}[/tex] (59) = [tex]\frac{59+1}{3}[/tex] = [tex]\frac{60}{3}[/tex] = 20

Linear is basically a straight line. It can be increasing or decreasing.

Decreasing is when on the graph, when x increases, y decreases.

On the graph, there are two parts that are decreasing. Between -2 and 0, and Between 2 and 4. Let's look at these two.

- For between -2 and 0, the line is not straight. Therefore, it is decreasing and nonlinear. We can check if this is the right answer.

- For between 2 and 4, the line is decreasing. However, the line is straight, which means it is decreasing but linear.

Your final answer is B.

Answer:

2)  32.2 in (nearest tenth)

Step-by-step explanation:

Pythagoras’ Theorem

[tex]\sf a^2+b^2=c^2[/tex]

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

Given:

Substituting these values into the formula and solving for c:

[tex]\implies \sf 16^2+28^2=c^2[/tex]

[tex]\implies \sf 256+784=c^2[/tex]

[tex]\implies \sf c^2=1040[/tex]

[tex]\implies \sf c=\pm\sqrt{1040}[/tex]

[tex]\implies \sf c=\pm 32.2\:in\:(nearest\:tenth)[/tex]

As distance is positive, c = 32.2 in (nearest tenth)

Step-by-step explanation :

Here, A right angled triangle is given with the measure of two sides and we are to find the measure of the third side.

We'll find the measure of third side with the help of the Pythagorean theorem,

[tex]\\ {\longrightarrow \pmb{\sf {\qquad (Hypotenuse {)}^{2}= (Base) {}^{2} + (Perpendicular {)}^{2} }}} \\ \\ [/tex]

Here,

[tex] \: [/tex]

So, substituting the values in the formula we get :

[tex]\\ {\longrightarrow \pmb{\sf {\qquad (AC {)}^{2}= (16) {}^{2} + (28 {)}^{2} }}} \\ \\[/tex]

[tex]{\longrightarrow \pmb{\sf {\qquad (AC {)}^{2}=256 + 784 }}} \\ \\[/tex]

[tex]{\longrightarrow \pmb{\sf {\qquad (AC {)}^{2}=1040 }}} \\ \\[/tex]

[tex]{\longrightarrow \pmb{\sf {\qquad AC = \sqrt{1040} }}} \\ \\[/tex]

[tex]{\longrightarrow \pmb{\frak {\qquad AC = 32.24 }}} \\ \\[/tex]

Therefore,

Answer:

Step-by-step explanation:

Answer:

Option #4:

[tex]X=\left[\begin{array}{ccc}10\\24\end{array}\right][/tex]

Step-by-step explanation:

Start With

[tex]\left[\begin{array}{ccc}5&-2\\2&-1\end{array}\right] \left[\begin{array}{ccc}2\\-4\end{array}\right][/tex]

1. Pivot Element

[tex]P_{1} =a_{1,1}=5[/tex]

[tex]\left[\begin{array}{ccc}5&-2\\2&-1\end{array}\right] \left[\begin{array}{ccc}2\\-24\end{array}\right][/tex]

2. Pivot Element Again

[tex]P_{2} =a_{2,2}=-1[/tex]

[tex]\left[\begin{array}{ccc}-1&0\\0&-1\end{array}\right] \left[\begin{array}{ccc}-10\\-24\end{array}\right][/tex]

3.  Get x1 and x2 Values

[tex]\left \{ {{(-1)*x_{1}=(-10)} \atop {(-1)*x_{2}=(-24)}} \right.[/tex]

[tex]-x_{2} = (-24)\\x_{2} = 24\\\\-x_{1} = (-10)\\x_{1} = 10\\[/tex]

4. Get Answer

[tex]x_{1}=10\\x_{2}=24\\\\X=\left[\begin{array}{ccc}10\\24\end{array}\right][/tex]

Answer:

25

Step-by-step explanation:

25

Answer: how many more means subtract so subtract and it will be 25 LLaps

The exponential function is given by f(x) = 2ˣ and the  value of f(6) is 64

An equation is an expression that shows the relationship  between two or more numbers and variables.

An exponential funtion is in the form y = abˣ

At point (0, 1):

1 = ab⁰

a = 1

At point (2, 4):

4 = 1(b)²

b = 2

Hence:

f(x) = 2ˣ

Hence f(6):

f(6) = 2⁶ = 64

The exponential function is given by f(x) = 2ˣ and the  value of f(6) is 64

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