=
5. If p(x) = 1/2(x–5)^2+ 14, what is the

value of p(3)?

θ is in quadrant I, so cos(θ) and sin(θ) and hence tan(θ) are all positive.

Recall that

sec²(θ) = 1 + tan²(θ)

We have

cos(θ) = 2/√14   ⇒   sec(θ) = √14/2 = √(7/2)

Then

tan(θ) = +√(sec²(θ) - 1) = √(5/2)

Also recall the identities

sin(x + y) = sin(x) cos(y) + cos(x) sin(y)

cos(x + y) = cos(x) cos(y) - sin(x) sin(y)

from which we get

tan(x + y) = (sin(x) cos(y) + cos(x) sin(y)) / (cos(x) cos(y) - sin(x) sin(y))

tan(x + y) = (tan(x) + tan(y)) / (1 - tan(x) tan(y))

so that

tan(2θ) = 2 tan(θ) / (1 - tan²(θ)) = -(2√10)/3

Answer:

A

Step-by-step explanation:

The missing line is slopes of both lines are equivalent to (z - v) / (x - w)

The slope of a line in the plane containing the x and y axes is generally represented by the letter m, and is defined as the change in the y coordinate divided by the corresponding change in the x coordinate, between two distinct points on the line.

Given is proof of line PQ is parallel to the line P'Q',

So,

Slope = change in y / change in x

Slope of PQ = (z - v) / (x - w)

Slope of P'Q' = (z + b - (v + b)) / ((x + a) - (w + a))

Slope of P'Q' = (z - v) / (x - w)

The slopes of both lines are equivalent to (z - v) / (x - w)

Hence, the missing line is slopes of both lines are equivalent to (z - v) / (x - w)

Read more about slopes - https://brainly.com/question/19131126

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Answer:

B,A,CB,AB,CD

Step-by-step explanation:

Answer:

B,   A,   CB,   AB,  CD

Step-by-step explanation:

Got it right on edge

Answer:

14

Step-by-step explanation:

Answer:

Area: 531 in²

Circumference: 82 in

Step-by-step explanation:

Given:

To find:

Area of Circle:

[tex]\displaystyle \large{A=\pi r^2}[/tex]

Therefore:

[tex]\displaystyle \large{A=3.14 \cdot 13^2}\\\displaystyle \large{A=530.66 }[/tex]

Round to nearest whole number:

Therefore, the area is 531 inches squared

Circumference of Circle:

[tex]\displaystyle \large{C=2\pi r}[/tex]

Therefore:

[tex]\displaystyle \large{C=2\cdot 3.14 \cdot 13}\\\displaystyle \large{C=81.64}[/tex]

Round to nearest whole number:

Hence, the circumference is 82 inches

Answer:

A sampling distribution is a statistic that is arrived out through repeated sampling from a larger population.

It describes a range of possible outcomes that of a statistic, such as the mean or mode of some variable, as it truly exists a population.

The majority of data analyzed by researchers are actually drawn from samples, and not populations.

Step-by-step explanation:

In statistics, a sampling distribution or finite-sample distribution is the probability distribution of a given random-sample-based statistic. If an arbitrarily large number of samples, each involving multiple observations (data points), were separately used in order to compute one value of a statistic (such as, for example, the sample mean or sample variance) for each sample, then the sampling distribution is the probability distribution of the values that the statistic takes on. In many contexts, only one sample is observed, but the sampling distribution can be found theoretically.

Hope it helps :)

PLS MARK BRAINLIEST <3

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Tori

Answer:

the answer is g , X+84= 360

Answer:

27 units

Step-by-step explanation:

You can do this 2 ways:

Volume is l x w x h so 3 x 3 x 3 = 27

You can also count each cube that makes up the whole cube.  The top layer has 9 cubes.  The middle layer has 9 cubes.  The bottom layer has 9 cubes.  9 + 9 + 9 = 27

small cones = 22

large cones = 34

hope it reall helps...

Answer:

5000

Step-by-step explanation:

less than 500 so it goes to the closest 1000 under the number

Rounding off the given value 5495 ( five thousand four hundred and ninety four ) to the nearest one thousand is 5000 ( five thousand ).

Rounding simply means making a number easier or simpler but keeping its value close to its previous value. This might be less accurate, but easier to read.

To round 5495 to the nearest 1000.

5495 to the nearest 1000 will be 5000.

Hence, rounding the given value 5495 ( five thousand four hundred and ninety four ) to the nearest one thousand is 5000 ( five thousand ).

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Answer:

go on yt and watch a video by mathmatic it helps

Step-by-step explanation:

Answer:

  25 J

Step-by-step explanation:

Using the proper formula for kinetic energy ...

  KE = 1/2mv²

we can substitute the given values to find the kinetic energy of the ball.

__

  KE = 1/2(2 kg)(5 m/s)² = 25 J

_____

The unit "Joule" is a derived SI unti equivalent to 1 kg·m²/s².

Answer:

504 is the correct answer.

Step-by-step explanation:

Answer: B

Step-by-step explanation:

Answer:

pleASE show the choices but im thinking 49

Step-by-step explanation:

student score between 50 and 59 points is 2

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

As per the given graph we can observe the number of students that got points in a certain range.

According to question, we have to find the number of students that scored between 50 and 59 points ~

That means : frequency ( number of students ) in range of 50 - 59 in given graph ~

Hence, required number of students who scored in that range are :

[tex]\qquad \tt \dashrightarrow \:2 \: \: students[/tex]

Answer:

It's IQR.

Step-by-step explanation:

Interquartle Range (IQR) is the best method to find the best measure of spread

They are exempt from income tax and we would get the income tax withheld as $340

Income tax is a tax applied on individuals or entities concerning income or profit earned by them.

You earn $1,166 gross taxable income every week and have claimed no exemptions. assuming that you have no other sources of income.

Gross taxable Income = $ 1,166

Rate of Income tax = 30%

Amount of income tax = 30 % of 1,166

 = 30/100 × 1,166

= $339.6

= $340

Therefore. they are exempt from income tax and we would get the income tax withheld as $340.

Read more about taxable income here:

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Answer:

340

Step-by-step explanation:

Answer:

n = 3

Step-by-step explanation:

5n - 2 = 13

+2 +2

5n = 15

5n÷5 15÷5

n = 3

Answer:When you reflect a point across the line y = -x, the x-coordinate and the y-coordinate change places and are negated (the signs are changed).

Step-by-step explanation:

Answer:

This strange because the vending machine has diffrent foods in the same lane!

Step-by-step explanation:

Answer:

It is a rational number.

Step-by-step explanation:

since it is not a perfect square therefore it does not have an exact square root. also any number that is positive or negative, positive or zero, and can be write as a fraction

Answer:

1/8 gallon

Step-by-step explanation:

1/2 × 8/1=

1/8 × 1/2=

1/16 (the whole amount)

The value of y in the given equation y + 6 = –3y + 26 would be equal to 5.

A linear equation is an equation that has the variable of the highest power of 1. The standard form of a linear equation is of the form Ax + B = 0.

We have given the equation,

y + 6 = –3y + 26

We subtract 6 on both sides of the equation

y + 6 -6  = –3y + 26 -6

y = -3y +20

y + 3y = 20

4y = 20

We divide between 4 sides of the equation:

4y = 20

y = 20/4

y = 5

Thus, the value of y is 5.

Learn more about linear equations;

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Answer:

9

Step-by-step explanation:

9.1104

nearest tenth is 1 so it doesn't need to be rounded

Answer: [tex]\sqrt{83}[/tex] ≈ 9.1

Step-by-step explanation: The original answer is 9.11043357914 but 9.1 is the closest you can get since the next few digits are under 5 so there is not much to be rounded for. I hope this helps!

Answer:

What is your question though?