**10 POINTS PLEASE HELP**
Can each of the shapes below be expressed as a composite figure of equilateral triangles? Select Yes or No for each shape.

A pyramid
(select)

A hexagon
(select)

A pentagon
(select)

The final answer is (f o g)(x) = x^4 - 16x^2 + 72

(g o f)(x) = x^4 + 16x^2 + 56

(f o g)(2) = 24

To find the composite functions (f o g)(x) and (g o f)(x), we need to substitute one function into the other.

(f o g)(x):

To find (f o g)(x), we substitute g(x) into f(x):

(f o g)(x) = f(g(x))

Let's substitute g(x) = x^2 - 8 into f(x) = x^2 + 8:

(f o g)(x) = f(g(x)) = f(x^2 - 8)

Now we replace x in f(x^2 - 8) with x^2 - 8:

(f o g)(x) = (x^2 - 8)^2 + 8

Simplifying further:

(f o g)(x) = x^4 - 16x^2 + 64 + 8

(f o g)(x) = x^4 - 16x^2 + 72

Therefore, (f o g)(x) = x^4 - 16x^2 + 72.

(g o f)(x):

To find (g o f)(x), we substitute f(x) into g(x):

(g o f)(x) = g(f(x))

Let's substitute f(x) = x^2 + 8 into g(x) = x^2 - 8:

(g o f)(x) = g(f(x)) = g(x^2 + 8)

Now we replace x in g(x^2 + 8) with x^2 + 8:

(g o f)(x) = (x^2 + 8)^2 - 8

Simplifying further:

(g o f)(x) = x^4 + 16x^2 + 64 - 8

(g o f)(x) = x^4 + 16x^2 + 56

Therefore, (g o f)(x) = x^4 + 16x^2 + 56.

(f o g)(2):

To find (f o g)(2), we substitute x = 2 into the expression (f o g)(x) = x^4 - 16x^2 + 72:

(f o g)(2) = 2^4 - 16(2)^2 + 72

(f o g)(2) = 16 - 64 + 72

(f o g)(2) = 24

Therefore, (f o g)(2) = 24.

In summary:

(f o g)(x) = x^4 - 16x^2 + 72

(g o f)(x) = x^4 + 16x^2 + 56

(f o g)(2) = 24

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Answer:

AUC= {2,3,5,6,7,10}

The second one=A

The third one= empty

I'm sorry. I don't know the others.

Answer:

88%

Step-by-step explanation:

No Johnny boy did not

Answer:

0.75 laps per minute

Step-by-step explanation:

9/12 = 0.75

Answer:

1.3 min per lap

Step-by-step explanation:

In Ascending order=22,39,50,61,77,88,89

The Product Rule: If there are n(A) ways to do A and n(B) ways to do B, then the number of ways to do A and B is n(A) × n(B). This is true if the number of ways of doing A and B are independent; the number of choices for doing B is the same regardless of which choice you made for A.

Answer:

3, 2√2, √7

Step-by-step explanation:

compute the square roots of the next three prime numbers:

√7

√11

√13

Therefore, the next three terms of the sequence are:

{1, √2, √3, 2, √5, √7, √11, √13}

chatgpt

chat

Answer:

300+ 80+6

Step-by-step explanation:

i think i not sure

Answer:

y=mx+b

Step-by-step explanation:

The required linear equation is the slope intercept form of a linear equation given by y = mx + b.

What is the linear equation with two variables ?

A linear equation with two variables is any equation that can be expressed in form ax + by + c = 0, where a, b, and c are all real values.

We know that there are various ways of representing a linear equation as follows :

These are all legitimate variations of linear functions, and they may all be transformed into and out of other linear functions.

The linear equation in two variables x and y is an equation that can be written in the form y = mx + b , where m and b are constants.

Therefore, the required linear equation is the slope intercept form of a linear equation given by y = mx + b.

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The function can be defined as  price = 6x

It will cost $150 to buy 25 reams of paper.

The domain of the function is all non-negative real numbers, since the number of reams bought cannot be negative.

The range of the function is all non-negative real numbers, since the price cannot be negative.

Fir 25 items, price = 6(25) = $150

It will cost $150 to buy 25 reams of paper.

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Answer:

5 = $ 5.25.    10= $ 6.50.   20= $9.00

Step-by-step explanation:

if this is wrong you can completely write me a really rude email or message or something

Answer: She runs 8m per second.

Answer: B

Step-by-step explanation:

Answer:

option B, square root of 13

Step-by-step explanation:

i took the quiz on edge and got it right. :,)

No, Liza is not correct as triangle with exactly 2 congruent sides and a right angle is not an acute isosceles triangle.

In mathematics, a triangle is a two-dimensional shape that is formed by three straight line segments. The three line segments are called sides, and the points where the sides intersect are called vertices. A triangle has three angles, one at each vertex, which are formed by the intersection of the sides. The properties of a triangle can be described using its side lengths and angles. A triangle with all three sides of equal length is called an equilateral triangle, and it has three equal angles of 60 degrees each. A triangle with two sides of equal length is called an isosceles triangle, and it has two equal angles. A triangle with no equal sides or angles is called a scalene triangle. Triangles are used in many areas of mathematics and science, including geometry, trigonometry, and physics. They are also used in many real-world applications, such as construction, engineering, and architecture.

Here,

An acute isosceles triangle has two congruent sides and two acute angles. A right angle measures exactly 90 degrees, which is not an acute angle. This type of triangle has a specific name: it is called a right isosceles triangle. In a right isosceles triangle, one angle measures exactly 90 degrees (the right angle) and the other two angles are congruent (each measuring 45 degrees). The two congruent sides are the legs of the triangle, while the third side is the hypotenuse.

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Answer:

24:16

skittles : M&Ms

Step-by-step explanation:

Answer:

3:2

Step-by-step explanation:

Well, the total number of pieces of candy is 40. 24 of them are skittles so the remaining 16 would be M&M's. You would write the ratio of skittles to M&M's as 24:16 and then we need to simplify and so the simplified answer is 3:2. (Haven't done these in a while so it might be wrong)

Answer: Where are the angles??

Step-by-step explanation:

Answer:

1.The  equation of best fit is ŷ = 2.69152X + 3.45818.

Step-by-step explanation:

Answer:

12.8

12 1/2

12 2/5

12.09

Answer: increase the backlog for short term demand surges

Step-by-step explanation:

Since the TV repair service company has a seasonal demand for its service,and there is a general shortage of skilled TV repair persons, the capacity production planning alternative that's suitable for this situation will be to increase the backlog for short-term demand surges.

Offering reduced prices during the slack season isn't appropriate as this will lead to a reduction in revenue. Building anticipation inventories is also wrong as there may be differences in the forecast made.

The correct option is B.

If a factory made 7,737 toy cars each day for 6 days, to find the total number of cars, we can add 7,737 to itself 6 times or just multiply by 6.

\(7737*6=46422\)

The factory made 46422 toys in the last 6 days.

Hope this helps.

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Answer:

it's answer is D. 33°

Let the unknown angle be x Then.

x + 100° + 47° = 180° [ being sum of angles of triangle ]

x + 147° = 180°

x = 180° - 147°

x = 33°

Step-by-step explanation:

Answer:

I, III and IV

Step-by-step explanation:

Required

Determine equivalent expressions to \(6x^2 - 13x - 28\)

To do this, we simplify each of the given options.

\(I.\ 6x2+8x-21x-28\)

Simplify like terms

\(6x2+8x-21x-28\)

\(= 6x2-13x-28\)

This is equivalent to the given expression

\(II.\ 2x(3x + 4) + 7x(3x - 4)\)

Open Bracket

\(2x(3x + 4) + 7x(3x - 4)\)

\(2x*3x + 2x*4 + 7x*3x - 7x*4\)

\(6x^2 + 8x - 21x^2 - 28x\)

Collect Like Terms

\(6x^2 - 21x^2 + 8x - 28x\)

\(-15x^2 - 20x\)

This is not equivalent to the given expression

\(III.\ 2x(3x+4)-7(3x+4)\)

Open Bracket

\(2x(3x+4)-7(3x+4)\)

\(2x*3x + 2x*4 - 7*3x - 7*4\)

\(6x^2 + 8x - 21x - 28\)

Simplify Like Terms

\(6x^2 -13x - 28\)

This is equivalent to the given expression

\(IV.\ (3x + 4)(2x-7)\)

Open Brackets

\(3x * 2x - 3x * 7 + 4*2x-4*7\)

\(6x^2 - 21x+ 8x-21\)

Simplify like terms

\(6x^2 -13x-21\)

This is equivalent to the given expression

Hence: I, III and IV are equivalent to the given expression

Let's suppose that 1 = TRUE and 0 = FALSE, we want to find how many combinations we can do with 11 zeros and ones, in fact, it's:

To evaluate the number of combinations we can do:

2 because we can pick 2 different options (true or false) and 11 because it's the number of questions, then

We have 2048 different ways that this test can be completed.

Answer:

Q2 and Q4

Step-by-step explanation:

Trigonometric functions and quadrants:

In x is in the first quadrant, cos(x) > 0 and sin(x) > 0.

In x is in the second quadrant, cos(x) < 0 and sin(x) > 0.

In x is in the third quadrant, cos(x) < 0 and sin(x) < 0.

In x is in the fourth quadrant, cos(x) > 0 and sin(x) < 0.

Cotangent:

The cotangent is the cosine divided by the sine.

Cotangent negative, which quadrants?

It is negative when sine and cosine have opposite signals. So in the second and the fourth quadrant, that is, Q2 and Q4.

Answer:

Dog 1: 16 pounds

Dog 2: 24 pounds

Step-by-step explanation:

2x+3x=40

5x=40

x=8

2x = 16

3x=24

Answer:

The dogs' weights are 16 pounds and 24 pounds

Step-by-step explanation:

Equations:

Martina has two dogs. Their combined weight is 40 pounds. Let's set:

x       = weight of one of the dogs.

40-x = weight of the other dog

The ratio between them is 2:3, thus:

\(\displaystyle \frac{x}{40-x}=\frac{2}{3}\)

Cross multiplying denominators:

3x = 2(40 - x)

Operating:

3x = 80 - 2x

Adding 2x:

5x = 80

Dividing by 5:

x = 80/5 = 16

x = 16 pounds

The weight of the other dog is 40-16=24 pounds.

The dogs' weights are 16 pounds and 24 pounds

the truth values of p q is equivalent to (p q) (q p)

The steps to create a bar graph are explained below.

To match the two-way table to the segmented bar graph, we need to create a segmented bar graph that represents the data in the table. The table shows the percentage of students in each grade who voted for each mascot option.

Here is how we can match the two-way table to the segmented bar graph:

By creating a segmented bar graph that represents the data in the two-way table, we can visually compare the percentage of students who voted for each mascot option across different grade levels.

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Answer:

31.5/21

Step-by-step explanation:

31.5 over 21

Answer:

31.5/21

Step-by-step explanation:

31.5/21 = 1.5 and 18/12 = 1.5

Step-by-step explanation:

that means the probability that one customer is buying the most expensive car is

0.04 (= 4%)

that means the probability that the customer is not buying the most expensive car is

1 - 0.04 = 0.96

the probability of 2 out of 5 buying it and 3 not is

0.04×0.04×0.96×0.96×0.96 = 0.0014155776

now, this probability applies to every combination of 2 out of 5 :

C(5, 2) = 5!/(2! × (5-2)!) = 5!/(2! × 3!) = 5×4/2 = 5×2 = 10

so, the general probability that 2 out of the 5 customers will buy the most expensive cars is

10 × 0.04²×0.96³ = 0.014155776