The function h is defined as follows.
Screenshot shows the question.​

Answer:

44 inches

Step-by-step explanation:

perimeter of triangle = length of side 1 + length of side 2 + length of side 3

length of side 1 = 26

length of side 2 = 55

125 = 26 + 55 + length of side 3 = 81 + length of side 3

subtract 81 from both sides to get the length of side 3

length of side 3 = 44 inches

Answer:

[tex]2x^{2} - 16x + 30[/tex]

Step-by-step explanation:

Here we have to find p(q(x))

q(x) =x -3

we will plug value of q(x) in x of p(x)

p(x) =2x2-4x

p(q(x)) = 2(x-3)2-4(x-3)

= 2(x2-6x+9)-4(x-3)

=2x2-12x+18 -4x+12

[tex]2x^{2} + 16x + 30[/tex]

The cubic regression function of the points (1,-1), (2,-13), (3,-45), (-1,11) is y = -2x³ + 2x² - 4x + 3

The points are given as:

(x,y) = (1,-1), (2,-13), (3,-45), (-1,11)

A cubic regression function is represented as:

y = ax³ + bx² + cx + d

Next, we determine the cubic function using a graphing calculator.

From the graphing calculator, we have the following coefficients:

Recall that:

y = ax³ + bx² + cx + d

So, we have:

y = -2x³ + 2x² - 4x + 3

Hence, the cubic regression function of the points is y = -2x³ + 2x² - 4x + 3

Read more about regression functions at:

https://brainly.com/question/25226042

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Answer: 32.6

Step-by-step explanation:

Answer:

(5+8) (5-8)

Step-by-step explanation:

They are both perfect squares.

Answer:

(5+8x)(5-8x)

Step-by-step explanation:

This is a 'difference of two squares" Difference means subtraction and 25 is a perfect square and 64x^2 is a perfect square.

If you know how to factor quadratic trinomials like

ax^2 + bx + c, you can do the same thing here, using:

64x^2 +0x + 25

BUT, there's a shortcut. It is a pattern that you memorize. Since 25 is 5^2, put 5 first in the parenthesis. And since 64x^2 is 8x squared, put 8x second in the parenthesis like this:

(5 8x)

Make two of them:

(5 8x)(5 8x)

Make one a plus and one a minus.

(5 + 8x)(5 - 8x)

Done!

Well, if the directions say "factor" then you are done. If the directions say "solve" then put each piece equal to zero and solve for x.

Hope this helps!

New price = 90 dollars

25% of 120 = 30

Price is reduced 25% from 120 so,

120 - 30 = 90

Amount of discount = 30

Answer:

The answer is 4.

Step-by-step explanation:

If this shape has a perimeter of 36, and the base has a length of 14, you subtract 36 - 28 because there are two sides that have a length of 14. You get 8 by subtracting 36 - 28, and divide the answer by 2.

Check the picture below.

Answer: A

Step-by-step explanation: I hate when theres problems like this, considering theres celcius and fahrenheit but the correct answer is A

Answer:

40

Step-by-step explanation:

you multiply them all together

Answer: -5

Step-by-step explanation:

2(0)-5

0-5 = -5

Answer: 18

Step-by-step explanation:

By the consecutive interior angles theorem, [tex]5x+7x+24=180 \longrightarrow x=13[/tex].

So, this means that using the corresponding angles theorem, [tex]7x+24=6y+7[/tex], and since [tex]x=13[/tex], this means that [tex]7x+24=115[/tex].

So, [tex]6y+7=115 \longrightarrow \boxed{y=18}[/tex]

Answer:

-1

Step-by-step explanation:

perpendicular = always has a slope of neg 1

Answer:

-1

Step-by-step explanation:

It is -1. I can't explain, I just did it in my head, so sorry!

Answer:

line of symmetry: x = -3

intercepts...

x - intercept: (-4, 0) and (-2, 0)

y - intercept: (0, 8)

vertex: (-3, -1)

Step-by-step explanation:

The image isn't that clear but what I can get is what listed

line of symmetry is the line straight down the middle as if the graph is reflected to the other side

intercepts...

x - intercept is when y = 0, note there is 2 of these a negative and positive root

y - intercept is when x = 0

vertex is the turning point

for an upward curve its a min

for a downward curve it a max

I attached an example of each on of these

Answer:

the pattern is going in the form of 1³ , 2³ , 3³ , 4³

therefore next term should be 5³ which is equal to 125. So the missing term is 125

I hope you got that.

By : Modern Einstein

Answer:

Step-by-step explanation:

Let the amount of rent is R

Calculate the value of R in reverse order of spending

Correct choice is B

Answer:

B. $466

Step-by-step explanation:

[tex]\textsf{let}\: x= \textsf{Lydia's salary}[/tex]

[tex]\implies \textsf{rent}=\dfrac{1}{2}x[/tex]

Modelling the given information to find the total salary:

[tex]\implies \left(x-\dfrac{1}{2}x-168\right)-\dfrac{x-\frac{1}{2}x-168}{2}-57=92[/tex]

[tex]\implies \dfrac{1}{2}x-168-\dfrac{\frac{1}{2}x-168}{2}-57=92[/tex]

[tex]\implies \dfrac{1}{2}x-\dfrac{\frac{1}{2}x-168}{2}=317[/tex]

[tex]\implies x-(\frac{1}{2}x-168)=634[/tex]

[tex]\implies x-\frac{1}{2}x+168=634[/tex]

[tex]\implies \dfrac{1}{2}x=466[/tex]

[tex]\implies x=932[/tex]

Therefore, Lydia's total salary was $932

[tex]\implies \textsf{rent}=\dfrac{1}{2}(932)=\$466[/tex]

Answer:

  1. B 15

  2. C Hexagon

Step-by-step explanation:

Euler's formula tells you the relation between numbers of faces, vertices, and edges of a polyhedron is ...

  F +V = E +2

Solving for the number of faces, we have ...

  F = E +2 -V

For the given numbers, the missing number is ...

  F = 26 +2 -13 = 15

  Faces: 15

__

The cross section (shaded figure) is described by the number of edges it has. You can count them. There are three pairs of parallel edges, for a total of 6 edges. That makes the figure a hexagon.

Using the binomial distribution, it is found that the probability that he will hit fewer than 8 of the bottles is of 0.012, given by option A.

The formula is:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

In this problem, we have that:

The probability that he hits fewer than 8 of the bottles is given by:

[tex]P(X < 8) = 1 - P(X \geq 8)[/tex]

In which:

[tex]P(X \geq 8) = P(X = 8) + P(X = 9) + P(X = 10)[/tex]

Then:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 8) = C_{10,8}.(0.95)^{8}.(0.05)^{2} = 0.0746[/tex]

[tex]P(X = 9) = C_{10,9}.(0.95)^{9}.(0.05)^{1} = 0.3151[/tex]

[tex]P(X = 10) = C_{10,10}.(0.95)^{10}.(0.05)^{0} = 0.5987[/tex]

Hence:

[tex]P(X \geq 8) = P(X = 8) + P(X = 9) + P(X = 10) = 0.0746 + 0.3151 + 0.5987 = 0.988[/tex]

[tex]P(X < 8) = 1 - P(X \geq 8) = 0.012[/tex]

The probability that he will hit fewer than 8 of the bottles is of 0.012, given by option A.

More can be learned about binomial distribution at https://brainly.com/question/24863377

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Answer:

-31 = x

Step-by-step explanation:

Step 1    4x + 24 = 3x - 7

Step 2   x + 24 = -7

Step 3   x = -31

Hope this help!!!

Answer:

Graph is below

Step-by-step explanation:

I am going to use 3 points to make this graph

(0,0)

(-1,3)

(1,3)

Answer:

(0,0), (-1,3), (1,3)

Step-by-step explanation:

The graph is below!

Hope this helps!!!!!!!!!!!!

Step 1

Find the area of the Square in the middle

Formula for finding square:

[tex]A = L*W[/tex]

Let's apply the formula and find our answer:

[tex]A = 2*2\\=4[/tex]

The area of the square is 4 units

Step 2

Find the area of all 4 triangles around the square

As you know, the formula for finding 1 triangle is as follows:

[tex]A = \frac{1}{2} *B*H[/tex]

But, to find the area of 2 triangles, we can use this formula:

[tex]A=B*H[/tex]

And to find 4 of them (with same dimensions;as required here), we can use this one:

[tex]A=2*B*H[/tex]

Let's apply the formula then! What are we waiting for!!!!

[tex]A=2*2*2\\=2*4\\=8[/tex]

The area of ALL of the triangles around the square is 8 units

Step 3

Add all areas to find FINAL ANSWER!

Easy!

4+8=12

Answer:

12 is the answer because 2 x 2 = 4 but since it is a triangular face we half it and end up with 2, 2 x 4 is 8, the square it 2 x 2 = 4 so we add 4 and 8 which equals 12  

Answer:

  30√3 ≈ 51.96 miles

Step-by-step explanation:

The distance between the two ships can be found using the Law of Cosines, or using your knowledge of the side relationships in special triangles.

__

Each ship is traveling at 10 mph, so after 3 hours will have traveled 30 miles.

The triangle OS1S2 formed by the harbor and the two ship locations is an isosceles triangle with base angles of 30°. Each half of OS1S2 is a 30-60-90 triangle whose longer leg is √3 times half the hypotenuse. The sum of those two "longer legs" is the distance between the ships.

The distance between ships is 2×15√3 = 30√3 ≈ 51.96 miles.

_____

Additional comment

If you prefer to use the Law of Cosines, you are looking for the length of the side opposite the 120° angle in a triangle with sides of 30 miles.

  c² = 30² +30² -2·30·30·cos(120°) = 30²(2-2·(-0.5)) = 3·30²

  c = 30√3 . . . . . take the square root (miles)

Answer: \sqrt[4]{xy^{2} }

Step-by-step explanation: Siplified

Answer:

31.25 k

Step-by-step explanation:

80 %   *  x = 25 k

.80  x    = 25 k

x   = 25 k / .80 = 31.25 k

Answer:

  125k

Step-by-step explanation:

You want to know Ola's daily allowance if 25k remained after 80% was spent.

The fraction remaining was 100% -80% = 20%. If that fraction of Ola's allowance (a) is 25k, we have ...

  0.20a = 25k

Dividing by 0.20, the value of 'a' is shown to be ...

  a = 25k/0.20 = 125k

Ola's total daily allowance was 125k.

Answer

North of the box plot speed over 72 is the answer because it is a very high speed of the chart and it shows that the its going over the average speed

Answer:

3x +2y = 11 .... 1

x +5y = 8....2

x + 5y = 8

multiply by -3 on both sides

-3x - 15y = -24

-3x - 15y = - 24

3x +2y = 11

-13y = -13

y = 1

substitute the value of y in 1 or 2

3x +2y = 11

3x = 11 - 2y

3x = 11 - 2(1)

3x = 9

x = 3

(x;y) ( 3 ; 1)

eq(2)×3

eq(1)-eq(3)

Putting in eq(2)

Pair

Answer:

54

Step-by-step explanation:

54 inches

hope it helps...!!!