Find the value of X. 108° 40°

Answer:

155

Step-by-step explanation:

The problem sounds complicated, but it's not. Let's analyse.

The city manager have come up with an equartion y=11x +12, with Y is the total number of the stores and X stands for how long it has been since 2003.

We can't explain how the manager came up with this equation, so iwe don't need to think of if the equation is real or not. Let's just base on what we have.

Because the equation aboce is a trendy line, it means that it would likely to be true with any X ( number of years since 1990).

In Tracy's case, the year is 2003, so it has been 2003 - 1990 = 13 years since 1990. This is the X in the equation. Now we only need to find Y in the equation, which is the number of retail stores there were in 2003, exactly what the problem asks.

y= 11x + 12

=> In Tracy's case: y= 11*13 + 12= 155

So the number of retail stores there were in 2003 was 155

Answer:

I'm not really understanding this question can you give me some more info

Answer:

25.33 is the circumference of the circle

Step-by-step explanation:

Here, given the measure of the arc, we want to get the circumference of the circle

mathematically, the length of an arc can be calculated using the formula;

theta/360 * 2 * pi* r

where 2 * pi * r = circumference of the circle

theta is the angle subtended at the center which is 55 degrees in this case

Thus, we have ;

55/360 * 2 * pi * r = 3.87

2 * pi * r = (3.87 * 360)/55

2 * pi * r = 25.33 inches

Answer:

D: Approximately Normal

Step-by-step explanation:

I got it right on edg.

we can easily solve this one by splitting theiddle term

x2 - 9x -10

x2 -10x + x - 10

x(x - 10) 1( x - 10)

(x + 1) (x-10)

x = -1 or 10

Answersheeeeeeeeeeeeeeeeeeeeeeeeeesssh

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

A. 2x + 3y = −6

B. 3x − 2y = 6

C. 3x − 2y = 12

D. 2x − 3y = 18

Answer:

45.36 square inches

Step-by-step explanation:

Given the following

Surface area of a triangular prism  = 18 square inches

If it is enlarged by a scale factor of 2.52, the area of the enlarged solid is expressed as;

Area of enlarged solid = area of original sold * scale factor

Area of enlarged solid = 18 * 2.52

Area of enlarged solid = 45.36 square inches

hence the surface area of a similar solid that has been enlarged by a scale factor of 2.52 is 45.36 square inches

Answer:45.36 square inches

Step-by-step explanation:

Answer:

Look down below ;)

Step-by-step explanation:

How far is the campsite from their car?

4 miles

(0,4)

Write an equation that describes the relationship between d and h.

d = 3h + 4

After how many hours will the hikers be 16 miles from their car?

16 = 3h + 4

12 = 3h

4 = h

After 4 hours

Answer: n + 1

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

Multiples of 16 are [tex]16,32,48,64,80,...[/tex]

Find product of each of the multiple of 16 until a number is obtained, the product of whose digits is a multiple of 12.

[tex]16=1(6)=6\\32=3(2)=6\\48=4(8)=32\\64=6(4)=24[/tex]

Here, 24 is a multiple of 12.

So,

24 is the least positive integer such that it is a multiple of 16 and the product of its digits is a multiple of 12.

Answer:

This is an Exponential Decay

Step-by-step explanation:

A = 1200(0.85)⁶

The above expression is an Exponential Decay because 0.85 is less than 1

The formula for Exponential Decay

= y = a (1 - r)^t

We equate both equation together

Where

a = 1200

1 - r = 0.85

t = 6

Solving for r

1 - r = 0.85

r = 1 - 0.85

r = 0.15

Converting to Percentage

r = 15% decay rate

Answer:

The slope is 3.

Step-by-step explanation:

A direct variation function will always go through the origin point (0, 0).

Therefore, we have the two points (0, 0) and (-2, -6).

We can use the slope formula to find the slope:

[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Substitute and evaluate:

[tex]\displaystyle m=\frac{0-(-6)}{0-(-2)}=\frac{6}{2}=3[/tex]

Therefore, the slope of the function is 3.

To graph, simply plot (0, 0) and (-2, -6) and draw a line connecting them. This is shown below.

Answer:

y = 2/3x - 3

Slope: 2/3x

Step-by-step explanation:

Slope: 2/3x

y- intercept: (0,-3)

once it goes down it'll be -2/-3x which will go to through (-2,-6) as soon as it goes down from the y-intercept.

equation: y = 2/3x - 3

Answer:

(5x² +7x -26) units²

Step-by-step explanation:

[tex]\boxed{area \: of \: rectangle = length \times breadth}[/tex]

Area of shaded region

= Area of larger rectangle -area of smaller rectangle

Area of larger rectangle

= (3x -4)(2x +2)

= 3x(2x) +3x(2) -4(2x) -4(2) (Expand)

= 6x² +6x -8x -8

= 6x² -2x -8

Area of smaller rectangle

= (x -6)(x -3)

= x² -3x -6x +18 (Expand)

= x² -9x +18

Area of shaded region

= 6x² -2x -8 -(x² -9x +18)

= 6x² -2x -8 -x² +9x -18

= 5x² +7x -26

Answer:

6,160 calories

Step-by-step explanation:

total hours of exercising = 3.5 x 4 = 14

burns 440 calories per each hour

total calories burned is 440 x 14

Answer:

The significance test that would be used to investigate whether there is convincing evidence at 0.05 level of significance that a greater percent of peaches in the ice cream is associated with an increase in the density of the ice cream is option C;

C. A linear regression t-test for slope

Step-by-step explanation:

The linear regression t-test for slope is a test for determining the existence of a statistically significant linear relationship between two variables, a independent variable, X and an dependent variable Y in the following form;

Y = B₀ + B₁·X

The test is used to test the regression line slope where we have;

B₀ = The constant

B₁ = The slope also known as the regression coefficient

The given information tested in the question is if an increase in the peaches in the ice cream is associated with an increase in the density of the ice cream, therefore, the test to investigate the relationship between the rate of both variables is the linear regression t-test for slope.

Therefore, we have

Y = B₀ + B₁·X

Where;

X = The percentage of peaches in the ice cream

Y = The density of the ice cream

Answer:

[tex]50^{o}[/tex]

Step-by-step explanation:

90 + 40 = 130

180 - 130 = 50

Answer:25

Step-by-step explanation:

divide 75 by 6 then multiply by 2

Answer:

x≥11

Step-by-step explanation:

The information provided indicates that you have to hike minimum 11 miles each day to be able to complete the trip in the time you have and this means that the number of miles you hike each day has to be greater than or equal to 11 and this can be expressed as:

x≥11, where:

x is the number of miles you must hike each day.

Answer:

t

Step-by-step explanation:

-12 is closer to zero than -15

Answer: True, -12 is closer to 0 than -15. When it comes to negative numbers the number closest to 0 is always the biggest.

Answer:

First Option

Step-by-step explanation:

Answer:

[tex] {h =}^{2} = {p}^{2} \: + {b}^{2} [/tex]

[tex] {h}^{2} = {16}^{2} + {12}^{2} [/tex]

[tex] {h}^{2} = 256 + 144[/tex]

[tex]h = \sqrt{400} [/tex]

[tex]h = 20[/tex]

therefore the length of the ladder is 20ft

Answer:

X= 7

Step-by-step explanation:

Well first combine like terms

27x-9=180

Isolate from the variable

27x=189

x=7

The final answer is 7

Answer:

x =7

Step-by-step explanation:

( 10x -1) +(17x -8 ) =180

step 1 : since you have a plus sign in between it make it easy

so take care of the parentheses first

10x -1 + 17x - 8 = 180

step 2 : put together thw variable x

10x + 17x -1 -8 = 180

27x -9 =180

step 3 : take out -9 to the right and the sign will change

27x = 180 +9

27x = 189

x = 189 ÷ 27

x = 7

Answer:

100 people

Step-by-step explanation:

In the attached image below we can see that the original survey was done on a total of 50 individuals (12 + 3 + 20 + 15 = 50). Out of these 50, 20 of them answered basketball.

20 / 50 = 0.40 ... multiply by 100 to get percentage

0.40 * 100 = 40%

We can see that this is 40% of the original survey sample population. If we use this same percentage, we can predict how many individuals out of 250 would answer basketball. We calculate this by multiplying 250 by 40% in decimal form, like so...

250 * 0.40 = 100

Finally, we can predict that 100 people would most likely answer basketball.

Answer: James

Step-by-step explanation: 2.2 is less than 2.25.