The cylinders shown below are similar.

What is the ratio of their side lengths?
What is the ratio of their surface areas?
What is the ratio of their volumes?

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

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Answer:

40

Step-by-step explanation:

you multiply them all together

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.

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]

Check the picture below.

Answer:

20 units

Step-by-step explanation:

Given: Bases of the trapezoid

To find: Length of midsegment

Solution: Formula for length of midsegment of a trapezoid is given as:

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

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:

  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: A

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

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:

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!!!!!!!!!!!!

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]

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.

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: -5

Step-by-step explanation:

2(0)-5

0-5 = -5

The value of angle x and y in the triangle XYZ are 53.33 degrees and 106.66 degrees, respectively.

According to the triangle angle sum theorem, the sum of all the angle(interior) of a triangle is equal to the 180 degrees.

The angle XYZ has an angle y which is twice the size of x. Thus,

2x=y

The third angle is 20 degree, which is Z. Thus,

z=20

By the triangle angle sum theorem,

x+y+x=180

x+2x+20=180

3x=180-20

x=160/3

x=53.33

The measure of angle y is,

y=2×53.33

y=106.66

Thus, the value of angle x and y in the triangle XYZ are 53.33 degrees and 106.66 degrees, respectively.

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Answer:

54

Step-by-step explanation:

54 inches

hope it helps...!!!

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!!!

4

Explanation:

3, 4, 2, 8, 5

arrange in ascending order

2, 3, 4, 5, 8

Identify the integer at the middle

median: 4

Arrange in ascending order

Median term=(5+1)/2=6/2=3rd term=4

Median is 4

Answer: 32.6

Step-by-step explanation:

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.

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Answer:

see explanation

Step-by-step explanation:

the graph has a maximum turning point at (- 2, 2 )

the maximum value is the value of the y- coordinate of the vertex , then

maximum at 2

the domain is the values that x takes, in this case

domain is all real numbers

the range is the values that y can have, in this case

range is y ≤ 2

Answer:

See below ~

Step-by-step explanation:

Details of Graph

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!

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:

21 jacks/min

or 21 jacks per minute

Step-by-step explanation:

63/3 = 21

write it as ___ unit/rate

please mark brainliest

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