50 points
The frequency table below shows the length of selected movies shown in a local
theater over the past six months.

Answer:

3rd choice

Step-by-step explanation:

You start with: aebt = c

Divide both sides by a: ebt = c/a

Take the natural log: ln(ebt) = ln(c/a)

which gives you: bt = ln(c/a)

Divide by b: t = ln(c/a) / b.

Answer:

Vertex is (-4, -18)

Step-by-step explanation:

f(x) = [tex]ax^{2} +bx +c[/tex]

Let (h, k) be the vertex

An easy way to find h is to use the formula h = -b/2a

In your case where f(x) = [tex]x^{2} +8x - 2[/tex]   a = 2 and b = 8

So, h =  -8/2(1) = -8/2 = -4

Substitue -4 in for x to find k

k = ([tex]-4^{2}[/tex]) + 8(-4) - 2

  = (16) - 32 - 2

  = 16 - 32 - 2

  = -18

Vertex is (-4, -18)

Note:  Another way to find the vertex is to complete the square, but this can really be difficult in some cases

Answer:

Option D, (-4,-18)

Step-by-step explanation:

got it right on edge

Answer:

y=2^x

Step-by-step explanation:

Answer:

Line segment PM = 4.2 length

ML = 6.2

ON = 3

NK = 2

Step-by-step explanation:

Just got it on plato your welcome:)

The segments formed by each transversals and the three parallel lines are

proportional according to the three parallel lines theorem.

The observations are;

Reasons:

The question is a four part question

Let the equations of the parallel lines be as follows;

Line, x; y = x

Line, y; y = x + 1

Line z; y = x + 2

The points at which transversal 1 intersect the lines x, y, and z, are;

A(0.4, 0.4), B(0.6, 1.6), and C(0.8, 2.8)

The length of segment [tex]\overline{AB}[/tex] = √((0.6 - 0.4)² + (1.6 - 0.4)²) = 0.2·√(37)

The length of segment [tex]\mathbf{\overline{CB}}[/tex] = √((0.8 - 0.6)² + (2.8 - 1.6)²) = 0.2·√(37)

The ratio of the lengths of the segment formed by transversal 1 is therefore;

[tex]\sqrt{x} \displaystyle Ratio \ of \ the \ length \ of \ the \ segments = \mathbf{\frac{\overline{CB}}{\overline{AB}}} =\frac{2 \cdot \sqrt{37} }{2 \cdot \sqrt{37} } = 1[/tex]

The points at which transversal 2 intersect the lines x, y, and z, are;

D(1.1, 3.1), E(1.3, 2.3), and F(1.5, 1.5)

The length of segment [tex]\overline{DE}[/tex] = √((1.3 - 1.1)² + (2.3 - 3.1)²) = 0.2·√(17)

The length of segment [tex]\overline{EF}[/tex] = √((1.5 - 1.3)² + (1.5 - 2.3)²) = 0.2·√(17)

[tex]\sqrt{x} \displaystyle Ratio \ of \ the \ length \ of \ the \ segments = \mathbf{\frac{\overline{EF}}{\overline{DE}}} =\frac{0.2 \cdot \sqrt{17} }{0.2 \cdot \sqrt{17} } = 1[/tex]

Therefore;

Which gives;

The the comparison can also be made with the triangle proportionality theorem.

Learn more about triangle proportionality theorem here:

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Answer:

quizlet or quizzes

Step-by-step explanation:

Answer:

maybe it meane 11/a

Step-by-step explanation:

Answer:

The bracket is the binomial.

The definition is: [tex]\binom{n}{k} = \frac{n!}{k!\cdot (n-k)!}[/tex]

Note that [tex]\binom{n}{k} = \binom{n}{n-k}[/tex]

The meaning is "if we have n elements, how many ways are there to choose k of them?" From this definition it should be obvious that [tex]\binom{n}{k} = \binom{n}{n-k}[/tex] - if you're picking k, it's just as many ways as choosing the (n-k) that you're not picking.

The coefficient can be found by realizing that to get x^9, we need to choose (from the full multiplication):

There's [tex]\binom{11}{9}[/tex] ways to do that, so the component for x^9 will be:

[tex]\binom{11}{9} \cdot 3^2 \cdot x^9 = \frac{11!}{2!\cdot 9!} \cdot 3^2 \cdot x^9 = \frac{10\cdot 11}{2} \cdot 3^2 \cdot x^9 = 55 \cdot 9 \cdot x^9 = 495x^9[/tex]

So:

a = 2

Coefficient is 495

Answer:

the angles are supplementary

so, 5x + 140 = 180

5x = 180 - 140

5x = 40

X = 40

5

X = 8

To determine if the function[tex]F(x) = -x1 + x1x2x2 - i1x2[/tex]is Lipschitz continuous, we need to examine its partial derivatives and check if they are bounded.

The function F(x) is defined on [tex]R^2,[/tex] so let's calculate its partial derivatives with respect to x1 and x2

∂F/∂x1 = [tex]-1 + x2^2[/tex]

∂F/∂x2 = [tex]x1x2 - i1[/tex]

Now, to determine Lipschitz continuity, we need to check if the partial derivatives are bounded on the given domain.

For ∂F/∂x1, we can see that it is not bounded because as x2 approaches positive or negative infinity, the value of ∂F/∂x1 also approaches positive or negative infinity, respectively. Therefore, ∂F/∂x1 is not bounded.

For ∂F/∂x2, we can also see that it is not bounded because as x1 approaches positive or negative infinity, the value of ∂F/∂x2 also approaches positive or negative infinity, respectively. Therefore, ∂F/∂x2 is not bounded.

Since both partial derivatives are not bounded, we can conclude that the function F(x) = -x1 + x1x2x2 - i1x2 is not Lipschitz continuous, neither locally nor globally, on the domain [tex]R^2.[/tex]

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Answer:

y=2x+3

The coefficient attached to x is the slope and the number being added to it is the y intercept.

Please see the attached image

The number of snowboards that must be sold for the company to break even is: 9000

The function that models the profit is given as:

P(x) = -5x² - 30x + 675

where:

P(x) is the profit in thousands of dollars

x is the number of snowboards sold in thousands

For the company to break even, it means that P(x) = 0. Thus:

-5x² - 30x + 675 = 0

Using quadratic formula to solve this gives us":

x = [-(-30) ± √((-30)² - 4(-5 * 675)]/(2 * -5)

x = 9

This is in thousands and means the break even will be when the sold amount is 9000 snowboards

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Answer:

2,7

Step-by-step explanation:

To solve this type of problem you simply plug the left number or x value in the ordered pair into the function and then see if it equals the right or y value. So we would plug 4 in for x and get 16, you then do the same thing for the other two pairs and find out that when you plug 2 into the equation, it does not equal 7

Answer:

Step-by-step explanation:

Let x be the number.

(x + 13)/2

Answer:

626

Step-by-step explanation

Answer:

The lateral surface area of the prism shown is 1021 unit^2.

Step-by-step explanation:

2((21*9)/2) + (17*16) + (21*16) + (14*16) = 1021 unit^2

Answer: The lateral surface area of a prism is the sum of the areas of its lateral faces. The total surface area of a prism is the sum of the areas of its lateral faces and its two bases

=ph where p represents the perimeter of the base and h represents the height of the prism.

Answer:

Surface area is the sum of the areas of all faces (or surfaces) on a 3D shape. A cuboid has 6 rectangular faces. To find the surface area of a cuboid, add the areas of all 6 faces. We can also label the length (l), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area.

Answer:

solo multiplica los dos numeros 2x3= 6.

Answer:

aeaa axxd

Step-by-step explanation:

Answer:

The answer is "Option C"

Step-by-step explanation:

Please find the complete question in the attached file.

In this question its value of P is 0.0644, the significance level is higher than 0.05. Which doesn't reject [tex]H_o[/tex],

Answer: C

Step-by-step explanation: EDGE 2022

Answer:

1/2c

Step-by-step explanation:

A breakfast chef used different amounts of ill when

making pancakes, depending on the number of panes ordered. The results are shown below.

1/2c, 1/4c, 1/2c, 3/4c, 1/2c, 3/4c, 1/2c, 1/4c, 1/2c, 1/2c

What is the average amount of milk used for an order of pancakes?

Average amount of milk used for an order of pancakes = {1/2c + 1/4c + 1/2c + 3/4c + 1/2c + 3/4c + 1/2c + 1/4c + 1/2c + 1/2c} ÷ 10

= {6(1/2c) + 2(1/4c) + 2(3/4c)} ÷ 10

= {6/2c + 2/4c + 6/4c} ÷ 10

= {3c + 1/2c + 3/2c} ÷ 10

= {(6+1+3) / 2}c ÷ 10

= 10/2c ÷ 10

= 5c ÷ 10

= 5/10c

= 1/2c

The average amount of milk used for an order of pancakes = 1/2c

Answer:

numerator divided by denominator

Step-by-step explanation:

Answer:

86.6

Step-by-step explanation:

Add them all up and divide by how many scores

Answer:

10

Step-by-step explanation:

The principal, real, root of:

100−−−√2

=10

All roots:

10

−10

100 is a perfect square

Answer:

An insurance actuary is a professional that analyzes financial risk using mathematics, statistics, and financial theories.

Step-by-step explanation:

Most actuaries work in the insurance industry and help insurance companies create and price insurance policies based on the likelihood that they will have to pay out claims.

Hope this helped!!!

Answer:

The answer is D

Step-by-step explanation:

:))))))))

Answer:

D is not true

Step-by-step explanation:

you can tell because 19-11 is 8 and that don't equal 10

Answer:

a= −1/9y+64/9

Answer:

D

Step-by-step explanation:

because it is the answer that I think of

Answer:

Rotation of 180° clockwise around the origin

Step-by-step explanation: if you rotate the first triangle 90 degrees, it will be in the lower quarter, so you need to rotate it 1 more time.

The transformations are clockwise rotation 180° and translation down by 1 unit.

Rotations are transformations that turn a shape around a fixed point. To rotate a shape we need: a centre of rotation. an angle of rotation (given in degrees) a direction of rotation – either clockwise or anti-clockwise.

From the given graph, the coordinates of triangle PQR are P(2, 1), Q(4, 6) and R(4, 1).

Rotating a point that has the coordinates (x,y) 180° about the origin in a clockwise direction, we have (-x,-y).

Here,

P(2, 1) → P'(-2, -1)

Q(4, 6) → Q'(-4, -6)

R(4, 1) → R'(-4, -1)

The translation down by 1 unit, we get (x, y-k)

P'(-2, -1) → P'(-2, -2)

Q'(-4, -6) → Q'(-4, -7)

R'(-4, -1) → R'(-4, -2)

The coordinates of triangle P'Q'R' are P'(-2, -2), Q(-4, -7) and R'(-4, -2)

Therefore, the transformations are clockwise rotation 180° and translation down by 1 unit.

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