Evaluate the function when x = - 2, 0 and 5.

Answer:

green line or "b"

Step-by-step explanation:

we can set this up into the slope intercept form

y=mx+b

where m is the slope and b is y intercept

12=3x+4y

-3x -3x

-3x+12=4y

/4.  /4.  /4

-3/4x+3=y

we can see the only line with a negative slope and a y intercept at 3 is the green line or "b"

hopes this helps please mark rainliest

The Distance between the points (4, -2) and (7, -9) is sqrt(58) or approximately 7.62 units.

The distance between two points in a coordinate plane. The distance formula is based on the Pythagorean theorem and calculates the straight-line distance between two points.

The coordinates of the first point as (x1, y1) = (4, -2) and the coordinates of the second point as (x2, y2) = (7, -9).

The distance formula is given by:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

Plugging in the values:

d = sqrt((7 - 4)^2 + (-9 - (-2))^2)

d = sqrt((3)^2 + (-7)^2)

d = sqrt(9 + 49)

d = sqrt(58)

Hence, the distance between the points (4, -2) and (7, -9) is sqrt(58) or approximately 7.62 units.

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The value of the n is 1

In a direct variation, the relationship between two variables is of the form y = kx, where k is a constant of proportionality.

To find the constant of proportionality k in this problem, we can use the fact that the given points satisfy the equation for direct variation.

(2,18) is one of the given points, so we can substitute these values into the equation y = kx and solve for k:

18 = k(2)

k = 18/2

k = 9

Now that we have found the value of k, we can use it to find n when y = 9:

9 = 9n

n = 1

Therefore, the value of n is 1.

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Answer:

D

Step-by-step explanation:

36 can be divided by both 2 & 3

Answer:

The answer is D.

Step-by-step explanation:

2x18=36

3x12=36

Answer:

136

Step-by-step explanation:

102 divided by 3 is 34 x 4 = 136

Answer:

Step-by-step explanation:

Arrange your numbers in numerical order.

Count how many numbers you have.

If you have an odd number, divide by 2 and round up to get the position of the median number.

If you have an even number, divide by 2. Go to the number in that position and average it with the number in the next higher position to get the median.

The equation in slope-intercept form that represents the situation is y = 3x + 12

A linear equation is on the form:

y = mx + b

where y, x are variables, m is the rate of change and b is the initial value of y.

Let x be the calf's age in month and y be the weight.

A calf weighs 18 lbs. when it is 2 months old, and after 8 months it weighs 36 lbs. Hence it can be represented by:

(2, 18) and (8, 36). The equation is given by:

\(y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-18=\frac{36-18}{8-2}(x-2) \\\\y=3x+12\)

The equation in slope-intercept form that represents the situation is y = 3x + 12

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Answer:

HG = EF

GF = HE

Step-by-step explanation:

\(~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{a~is~negative}{op ens~\cap}\qquad \stackrel{a~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill\)

\(\begin{cases} h=3\\ k=-10\\ \end{cases}\implies y=a(~~x-3~~)^2 + (-10)\hspace{4em}\textit{we also know that} \begin{cases} x=0\\ y=8 \end{cases} \\\\\\ 8=a(~~0-3~~)^2 + (-10)\implies 8=9a-10\implies 18=9a\implies \cfrac{18}{9}=a \\\\\\ 2=a\hspace{7em}y=2(~~x-3~~)^2 + (-10)\implies \boxed{y=2(x-3)^2-10}\)

The exterior angle of the triangle is 62°.

What is triangle?

A triangle is a form of polygon with three sides; the intersection of the two longest sides is known as the triangle's vertex. There is an angle created between two sides. One of the crucial elements of geometry is this.

Certain fundamental ideas, including the Pythagorean theorem and trigonometry, rely on the characteristics of triangles. The angles and sides of a triangle determine its kind.

Let us take the triangle as ABC.

Here \(m\angle C\)= 180-(5x-3)° [Because straight line angle is 180°].

We know that sum of all angles in triangle is add upto 180° Then,

=> \(m\angle A+m\angle B+m\angle C\)=180

=> 43°+3x°+180-5x+3=180°

=> -2x=180-180-43-3

=> -2x=-46

=> x=13°

Now exterior angle ,

=> 5x-3

=> 5*13-3

=> 65-3

=> 62°

Hence the exterior angle of the triangle is  62°.

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To find the number of temperatures in the set, we can divide the sum of the temperatures by the mean temperature.

Number of temperatures = Sum of temperatures / Mean temperature

In this case, the sum of temperatures is given as 2,516 and the mean temperature is given as 74 degrees Fahrenheit.

Number of temperatures = 2,516 / 74

Calculating the division:

Number of temperatures ≈ 34.05

Since we cannot have a fraction of a temperature, we need to round the result to the nearest whole number. Therefore, there are approximately 34 temperatures in the set.

Answer:

117°

Step-by-step explanation:

The angle is obtuse, so thus greater than 90°. And the angles of a triangle must always add up to 180°, so 31 + 32 = 63, then 180 - 63 = 117°

Answer:

4 = 63

Step-by-step explanation:

angle  4 is the sum of 31+ 32 = 63

ALSO IS THE SUPPLEMENTARY OF ANGLE 3(117)

117+63=180

The distance from the bottom of the building to the point where the ladder is touching the building for triangle 2, obtained using trigonometric ratio of tangent is 12 feet. The correct option is therefore;

12 feet

The trigonometric ratios are the value relationship between an interior angle of a right triangle and two of the sides of the triangle.

The right triangles are similar, therefore, the tangent of the angle the ladder makes with the ground are the same, which indicates;

tan(θ) = (Length of the side facing the angle θ) ÷ (Length of the side adjacent to the angle θ)

The side facing the angle is the distance from the bottom to the point where the ladder touches the building.

The adjacent to the angle is the horizontal distance from the bottom to the ladder to the building.

Therefore; tan(θ) = 18/12 = x/8

Where x = The distance from the bottom of the building to the point the ladder touches the building for triangle 2

18/12 = x/8

x = 18/12 × 8 = 12

The distance, x = 12 feet

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Answer:

12?

Step-by-step explanation:

I'm not too sure! I am in the middle of taking the test right now.

The slope equation form is :

m = - 7/5

Slope Solution

To calculate the slope use the slope formula.

m = (y2- y1)/(x2- x1)

Where (x1,y1) and (x2,y2) are 2 coordinate points.

Here the 2 points are (0,-3) and (-5,4)

let (x1,y1) = (0,-3) and (x2,y2) = (-5,4)

m = (4 - (-3))/((-5) - 0)

m = 7/((-5) )

m = - 7/5

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Answer:

3rd option is the answer

Step-by-step explanation:

hope u understand

Answer:

-2

Step-by-step explanation:

took the test

Answer:

Not enough information.

Step-by-step explanation:

What kind of table do you want.

Answer:

I had the same question, it would be -15 because in the video on the assignment it says the answers are the opposite.

Step-by-step explanation:

The key phase that we see in our response is "Divide the numerator by the denominator" (option C).

A key phrase refers to a phrase that contains words that define the most important part of a text. A key phrase serves as a summary of a paragraph or larger text.

In this case, the key phrase would serve to establish what was the mathematical procedure that we carried out to solve a mathematical problem. According to the above, it can be inferred that the key phrase must contain the most precise information to describe this procedure.

Based on the above, the correct answer is "Divide the numerator by the denominator" because it exactly describes the procedure that was performed.

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Answer:Answer and Explanation: An algebraic expression for the phrase '6 more than the product of 8 and n' is '8n + 6.

Step-by-step explanation:

Answer:

The probability of an event occurring depends on the sample space and the frequency of the event

permutations and combination principles would have to be applied to determine the probability of a particular number showing up when a pair of dice is rolled ,while a single dice roll have a fixed frequency of every event ( 1,2,3,4,5,6,) hence probability of a number showing up is 1/6

Step-by-step explanation:

The probability of an event occurring depends on the sample space and the frequency of the event

The  total outcomes of rolling a pair of fair dice would be = ( total outcome of  single dice A * total outcome of  single Dice B ) = 6 * 6 = 36. and this is because the Two dice are independent of each other. hence there is a higher variability in the determining the possibility of a particular number ( 1,2,3,4,5,6) showing up when a pair of dice is rolled due to the larger sample space. permutations and combination principles would have to be applied to determine the probability of a particular number showing up when a pair of dice is rolled ,while a single dice roll have a fixed frequency of every event ( 1,2,3,4,5,6,) hence probability of a number showing up is 1/6

Answer:

Step-by-step explanation:

ah they are getting harder.    :/  they didn't give any angles this time. so figure those out first,   super hero math to the rescue  :P oh and the question is just find angle C  soo.

Angles  C + B + A = 180

we can turn the law of cosines around and use it to find the angle, you are given the formula for that as well in the problem.   it's nice of them to not expect you to memorize the formula   I had to :/   your class is going easy on you.   get out the ruler and smack some students ,  prof. Snape   :D :D  My prof. once threw an eraser at one person b/c they fell asleep in class  :D  when it hit him.. b/c it was all full of chalk.. the eraser.. it kinda  "exploded"   and he woke up coughing...  :o    anyway.. back to math  :P

a= 28

b= 17

c = 15

C = arcCos [ (a^2 + b^2 - c^2)  /  (2 * a * b) ]

C = arcCos[ 28^2 + 17^2 - 15^2  / 2*28 *17 ]

C = arcCos[ 784 + 289 -225 / 952 ]

C = arcCos [ 848 / 952 ]

C = arcCos [0.8907563]

C = 27.03 °

rounded to nearest 10th then is

C = 27.0 °

:)  

btw, does 27 seem right?   to me it does b/c that angle is small

Answer:

4 questions

Step-by-step explanation:

To find a percentage of a number, you move the decimal mark all the way to the left.

87.5% becomes 0.875

Next you multiply 32 by 0.875 to find the percentage of questions that are completed

32 x 0.875 = 28

28 out of 32 questions have been solved, so now you subtract 28 from 32

32 - 28= 4

There are 4 questions to complete

Answer:

  100

Step-by-step explanation:

Yw btw LOL!        Ik this answer is probs wrong LOL              

(a) Class interval of a given data is 36.

(b) Frequency distribution is 44.

We have given that,

total frequency = 44

lower limit = $70

number of class = 5

(a) we have to find class interval,

Class interval =  \(\frac{Max. number - min. number}{no. of classes}\)

here maximum number is 264 and minimum number is 84

Class interval = \(\frac{264 - 84}{5}\)

                      = \(\frac{180}{5}\)

Class interval = 36

we have to round our value to the next multiple of 5

so the class interval will be 40.

(b) A frequency distribution is the pattern of frequencies of a variable. It is the number of times each possible value of a variable occurs in a dataset. There are three types of frequency distribution such as Cumulative frequency distribution, Relative frequency distribution, Relative cumulative frequency distribution.  

The frequency distribution is as follows:

Class interval           Frequency

 70 - 110                         6

 111 - 151                          5

152 - 192                       10

193 - 233                       14

234 -  274                       9

Total                              44

This is the organize data into a frequency distribution.

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Part a: The shaded area of the figure's polynomial expression: 16x + 30.

B) The larger rectangle has a surface area of 96 Sq in.

D) The smaller rectangle has a surface area of 18 Sq in.

By combining numbers and variables with the help of arithmetic operations like addition, subtraction, multiplied, division, and exponentiation, polynomials are algebraic expressions.

A polynomial can be made by adding or removing terms. Applications ranging from engineering and sciences to business can benefit greatly from polynomials

For question:

Dimensions are-

Complete region:

Non shaded rectangle:

Part A: The shaded area of the figure's polynomial expression is as follows:

Area = Length * width(complete)   -  Length * width(smaller)

Area = (2x + 6)(x + 5) - 2x(x)

Area = 2x² + 16x + 30 - 2x²

Area = 16x + 30

Find x-

Given shaded area = 78 sq. in

78 = 16x + 30

16x = 48

x = 3

B) The larger rectangle has a surface area of ___Sq in.

Area of larger rectangle = (2x + 6)(x + 5)

 = (2*3 + 6)(3 + 5)

= 12*8

= 96 Sq in.

D) The smaller rectangle has a surface area of __Sq in.

Area of smaller rectangle = 2x (x)

= 2*3*3

= 18 Sq in

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Answer:

2884 pieces

Step-by-step explanation:

First you have to multiply 2 and 226:

2 x 266 = 532

Then you have to multiply 4 and 558:

4 x 558 = 2352

After that you have add those two to make your answer:

532 + 2352 = 2884

There is your answer.

The ordered triple representing \(3u - 2v\) is \((13, -8, 5)\).

To find an ordered triple representing \(3u - 2v\),

where \(u = (5, -2, 3)\) and \(v = (1, 1, 2)\),

we can perform the following operations:

\(3u = 3(5, -2, 3)\)

\(3u = (15, -6, 9)\)

\(2v = 2(1, 1, 2)\)

\(2v = (2, 2, 4)\)

Now, subtracting 2v from 3u gives:

\(3u - 2v = (15, -6, 9) - (2, 2, 4)\)

\(3u - 2v = (15-2, -6-2, 9-4)\)

\(3u - 2v = (13, -8, 5)\)

Therefore, the ordered triple representing 3u - 2v is (13, -8, 5).

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A pipe whose diameter measures 1 1/4 inches should have less threads per inch than a pipe with a diameter of 11/2 inch. So, the correct answer is (D).

To determine the correct answer, we need to compare the diameters of the two pipes and understand the relationship between pipe diameter and threads per inch.

The number of threads per inch generally decreases as the pipe diameter increases. This means that a larger pipe diameter will have fewer threads per inch compared to a smaller pipe diameter.

Given that the first pipe has a diameter of 1 1/4 inches, we need to find the pipe diameter from the options that is larger than 1 1/4 inches.

The option that meets this requirement is D. 11/2. This represents a pipe diameter of 1 1/2 inches. Therefore, a pipe with a diameter of 1 1/2 inches should have fewer threads per inch than a pipe with a diameter of 1 1/4 inches. Therefore, the correct answer is D. 11/2.

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37.5w + 155.95 = 455.95; where w = 8; signifies the number of weeks required to babysit the business in order to purchase the gaming chair.

A mathematical formula that connects two expressions with the equals sign (=) expresses the equality of the two expressions. For instance, in English, an equation is any properly stated formula that consists of two expressions linked by the equals sign, whereas in French, an equation is described as containing one or more variables. To solve a variable equation, identify the values of the variables that cause the equality to hold true. The answer is known as the values of the variables that must satisfy the equality.

Equations can be categorized as identities or conditional equations.

w = (455.95-155.95)/(37.50)

=300/37.50

=8

So, number of weeks = 8

As a result, w = 8 and 37.5w + 155.95 = 455.95 is the solution.

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Answer:

2195

Step-by-step explanation:

filler filler filler lol

Answer: 2,195

Step-by-step explanation:

439x5

9x5=45

3x5+4=19

4x5+1=21

2195