What is the range of the relation in the table below?

X Y
-2 0
-1 2
0 4
1 2
2 0

Answer:

D)

Step-by-step explanation:

Answer:

q≤=-8

Step-by-step explanation:

5 + q ≤ -3

5+(5 + q ≤ -3)

q ≤ -3-5

q ≤-8

The angle measure that belongs in the green box is given as follows:

70.67º.

We consider a triangle with side lengths and angles related as follows, as is the case for this problem:

Then the lengths and the sines of the angles are related as follows:

sin(A)/a = sin(B)/b = sin(C)/c.

The relation for this problem is given as follows:

sin(x)/12  = sin(76º)/12.34

Applying cross multiplication, the missing angle measure is given as follows:

sin(x) = 12 x sine of 76 degrees/12.34

sin(x) = 0.9436.

x = arcsin(0.9436)

x = 70.67º.

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Answer:

B

Step-by-step explanation:

you can make picture into to shapes. a rectangle and a square. the square would be x2 and the rectangle would be 3x2. just add them together while your answer would be 4x2. doing this assignment right now so best of luck.

Answer:

b

Step-by-step explanation:

i just did the test

Answer:

x = 65.26 degrees or x = 245.26 degrees.

Step-by-step explanation:

To solve the equation 4tan(x)-7=0 for 0<=x<360, we can first isolate the tangent term by adding 7 to both sides:

4tan(x) = 7

Then, we can divide both sides by 4 to get:

tan(x) = 7/4

Now, we need to find the values of x that satisfy this equation. We can use the inverse tangent function (also known as arctan or tan^-1) to do this. Taking the inverse tangent of both sides, we get:

x = tan^-1(7/4)

Using a calculator or a table of trigonometric values, we can find the value of arctan(7/4) to be approximately 65.26 degrees (remember to use the appropriate units, either degrees or radians).

However, we need to be careful here, because the tangent function has a period of 180 degrees (or pi radians), which means that it repeats every 180 degrees. Therefore, there are actually two solutions to this equation in the given domain of 0<=x<360: one in the first quadrant (0 to 90 degrees) and one in the third quadrant (180 to 270 degrees).

To find the solution in the first quadrant, we can simply use the value we just calculated:

x = 65.26 degrees (rounded to two decimal places)

To find the solution in the third quadrant, we can add 180 degrees to the first quadrant solution:

x = 65.26 + 180 = 245.26 degrees (rounded to two decimal places)

So the solutions to the equation 4tan(x)-7=0 for 0<=x<360 are:

x = 65.26 degrees or x = 245.26 degrees.

Answer:

When  Item Price * (%) is < or > to $ Off

Step-by-step explanation:

Answer:

(a) Yes, E and F are independent events.

(b) P(E and F) = P(E)P(F) = (1/2)(1/2) = 1/4

Answer: p/7 + 8

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

Step-by-step explanation:

sin 63 = JK/8

sin = opposite/hypotenuse

answer is C

Answer:

(0,2)

Step-by-step explanation:

The solution to a system of linear equations can be identified by finding the point of intersection.

This occurs at (0,2).

Answer:

first pic answer = first bit

Answer:

The answer to your problem is, D. The range is the best measure of variability, and it equals 32.

Step-by-step explanation:

We know the scores earned in a flower-growing competition are represented in the stem-and-leaf plot.

The key will equal 2|1 means 21

Which we conclude to 17, 19, 21, 25, 29, 30, 31, 32, 46, 49.

Quartile:

Median, Minimum, Maximum, & Range:

Thus the answer to your problem is, D. The range is the best measure of variability, and it equals 32.

Answer: 28.25%

Step-by-step explanation:

113/400=0.2825=28.25%

Answer:

the way in which factors are grouped in a multiplication problem does not change the product.

Step-by-step explanation:

9514 1404 393

Answer:

  a) slope = -765 jobs per year

  b) j = -765y +1582855 . . . . jobs in year y

  c) 38,320 jobs in 2019

Step-by-step explanation:

a) We can define the variables y and j to represent the year number and the number of jobs, respectively. Then we are given 2 points:

  (y, j) = (2012, 43675) and (2017, 39850)

The slope of the relation is ...

  m = Δj/Δy = (39850 -43675)/(2017 -2012) = -3825/5 = -765

__

b) Using the point-slope form of the equation of a line, we can model the relation between years and jobs as ...

  y -k = m(x -h) . . . . . . . line with slope m through point (h, k)

For m = -765 and (h, k) = (2012, 43675), the model gives ...

  j -43675 = -765(y -2012)

  j = -765y +1582855 . . . . . . . rearrange to slope-intercept form

__

c) For y = 2019, the number of jobs is modeled to be ...

  j = -765(2019) +1582855 = -1544535 +1582855

  j = 38,320 . . . . . jobs in 2019

_____

Additional comment

Quite often for problems of this sort, we let the time variable represent "years after <some reference year>". Here, it would be convenient to use 2012 as the reference year. The the equation would be j = -765y +43675, and the "j-intercept" would have the sensible value of 43675 at "year 0" (or 2012).

The equation we show is technically correct, but has no meaning for year values less than 2012. Especially, we know for sure there were not 1.6 million jobs in information in Indiana at the beginning of the Common Era. Indiana didn't exist until 1816.

Answer:

Chemical Energy

Step-by-step explanation:

According to the Law of Conservation of Energy, energy is neither created nor destroyed. It is an entity that's always existing in the environment. It takes different forms of energy. Among the choices, the best answer would be letter B. Chemical energy. The chemical energy originates from the energy within the muscles that are dormant. Once used, this chemical energy is transformed into mechanical energy by the action of pushing his foot on the ground.

Answer:

Chemical energy

Step-by-step explanation:

Law of conversation says energy cannot be created or destroyed. Chemical energy is made from the muscles and transformed into mechanical energy when he pushes down.

The correct answer is Option 3 (0,2). The medians of a triangle intersect at the midpoint of the opposite side of the triangle.

Triangle is a three-sided geometric shape with three angles and three vertices. Triangles can be classified into different types based on the lengths of their sides and the angles between them. The three most commonly referred to types include the equilateral, isosceles and scalene triangle. An equilateral triangle has three sides of equal length, while an isosceles triangle has two sides of equal length. A scalene triangle has no equal sides or angles. All three types of triangles have interior angles that add up to 180 degrees and all three sides must be connected. All triangles are two-dimensional shapes, meaning they have no thickness or depth.

In triangle ABC, the opposite side is the line segment BC, which has endpoints at (-3,2) and (1,2). The midpoint of this line segment is (0,2).

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Answer:

The probability scale for this question is not 100% sure to buy shoes so the scale is given to be even chance(1/2).

Step-by-step explanation:

Answer:

Step-by-step explanation:

To dilate the square by a factor of 1111 from the origin, we need to multiply each coordinate by 1111.

The coordinates of point C are (8,8). So, to find the coordinates of point C' after dilation, we can simply multiply each coordinate by 1111:

x-coordinate of C' = 1111 * 8 = 8888

y-coordinate of C' = 1111 * 8 = 8888

Therefore, the coordinates of point C' are (8888, 8888).

Answer:

-3,1

Step-by-step explanation:

4(x-1)=3(x+3)

4x-4=3x+9

x=13

Denominator of a fraction cannot be zero. If it’s a zero the answerwill be undefined.

Therefore :

X-1 cannot be 0

Xcannot be 1

X+3 cannot be 0

X cannot be -3

The following can be determined about the slopes and y-intercepts of the system of equations: A. The slopes are different, and the y-intercepts are different.

In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;

y = mx + b

Where:

Based on the information provided above, we have the following system of equations in standard form:

4x + 2y = −2

x − 3y = 24

By rewriting system of equations in slope-intercept form, we have:

y = -2x - 1  ⇒ m = -2, b = -1

y = x/3 - 8  ⇒ m = 1/3, b = -8

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An Annual is not an example of an agreement.

Answer:

14. x=30, y=15, z=165

15. x=10, y=25

Step-by-step explanation:

Answer:

1)

x= 30

y=15

z=150

2)

x= 10

y=25

Step-by-step explanation:

1)

2x+90+x=180

3x+90=180

x= 90/3=30

2y= x

2y=30

y= 30/2=15

2y+z= 180

30+z= 180

z= 150  

2)

3x= 5x-20

5x-3x=20

x=20/2=10

2y+4y+ (5x-20) = 180

6y+30= 180

y= 150/6= 25

I hope im right!!

The sum of the interior angles of the figure is 360°, it means that we can formulate the following equation:

(2x+20)° + (3x - 10)° + (2x)° + (2x - 10)° = 360

Then, solving for x, we get:

2x + 20 + 3x - 10 + 2x + 2x - 10 = 360

9x = 360

x = 360/9

x = 40

So, the measure of each interior angle is:

(2x + 20)° = 2*40 + 20 = 100°

(3x - 10)° = 3*40 - 10 = 110°

(2x)° = 2*40 = 80°

(2x - 10)° = 2*40 - 10 = 70°

Answer: 100°

110°

80°

70°

The monthly payments are $248.53.

The total amount that he will pay $14911.8.

The amount of interest is $4911.8

What is the interest rate?

The amount of interest due each period expressed as a percentage of the amount lent, deposited, or borrowed is known as an interest rate. The total interest on a loaned or borrowed sum is determined by the principal amount, the interest rate, the frequency of compounding, and the period of time the loan, deposit, or borrowing took place.

The formula of monthly payment is

P = \(\frac{r (PV)}{1-(1-r)^{-n}}\)

r is the rate of interest.

PV is the present value

n is the number of terms.

The bank offers you an installment loan with an interest rate of 17% over a 60-month term. The cost of the car is $10,000.

PV = $10,000

n = 60

r = 17%/12 = 0.17/12

The monthly installment is

P = \(\frac{ \frac{0.17}{12}\times 10000}{1-(1- \frac{0.17}{12})^{-60}}\)

P = 248.53

The monthly installment is $248.53.

Total payment is (60 ×$248.53) = $14911.8

The interest is $(14911.8 - 10000) = $4911.8

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Answer:

-11 1/4

Step-by-step explanation:

keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above

\(3x+y=5\implies y=\stackrel{\stackrel{m}{\downarrow }}{-3}x+5\qquad \impliedby \qquad \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\)

so we're really looking for the equation of a line that has a slope oif -3 and it passes through (2 , -4)

\((\stackrel{x_1}{2}~,~\stackrel{y_1}{-4})\hspace{10em} \stackrel{slope}{m} ~=~ - 3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-4)}=\stackrel{m}{- 3}(x-\stackrel{x_1}{2}) \implies y +4 = - 3 ( x -2) \\\\\\ y+4=-3x+6\implies {\Large \begin{array}{llll} y=-3x+2 \end{array}}\)

now, keeping in mind that perpendicular lines have negative reciprocal slopes

\(\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{ -3 \implies \cfrac{-3}{1}} ~\hfill \stackrel{reciprocal}{\cfrac{1}{-3}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{1}{-3} \implies \cfrac{1}{ 3 }}}\)

so for this one, we're looking for the equation of a line whose slope is 1/3 and it passes through (2 , -4)

\((\stackrel{x_1}{2}~,~\stackrel{y_1}{-4})\hspace{10em} \stackrel{slope}{m} ~=~ \cfrac{1}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-4)}=\stackrel{m}{ \cfrac{1}{3}}(x-\stackrel{x_1}{2}) \implies y +4 = \cfrac{1}{3} ( x -2) \\\\\\ y+4=\cfrac{1}{3}x-\cfrac{2}{3}\implies y=\cfrac{1}{3}x-\cfrac{2}{3}-4\implies {\Large \begin{array}{llll} y=\cfrac{1}{3}x-\cfrac{14}{3} \end{array}}\)