. Find the slope of the line through the points (-5, 86) and (95, 16).

Answer:

y=4x-23

Step-by-step explanation:

y+3=4(x-5)

y+3=4x-20

y=4x-20-3

y=4x-23

a. The solar system travels about 188495.56 light years each year.

b.  the solar system is circling the center of the galaxy at about 520000 mi/hr

The solar system travels about 188495.56 light years each year.

Since the distance the solar system travel around the milky way is a circular orbit. The distance travelled is the circumference of a circle.

So, the circumference C = 2πr where

So, C = 2πr

= 2π × 30000 light years

= 60000π light years

= 188495.56 light years

So, the solar system travels about 188495.56 light years each year.

The solar system is circling the center of the galaxy at about 520000 mi/hr

The speed of the solar system circling the milky way is given by v = rω where

So, substituting the values of the variables into the equation, we have

v = rω

v = 1.764 × 10¹⁷ miles × 2.97 × 10⁻¹² radians per hour

v = 5.23908 × 10⁵ miles/hour

v = 523908 miles/hour

v ≅ 520000 mi/hr to the nearest ten thousand

So, the solar system is circling the center of the galaxy at about 520000 mi/hr

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Answer:

[tex]_{\text{point-slope form}}[/tex]

[tex]\huge\boxed{y-1=-\dfrac{1}{4}(x+4)}[/tex]

[tex]_{\text{slope-intercept form}}[/tex]

[tex]\huge\boxed{y=-\dfrac{1}{4}x}[/tex]

Step-by-step explanation:

The point-slope form of an equation of a line:

[tex]y-y_1=m(x-x_1)[/tex]

where

[tex]m[/tex] - a slope

[tex](x_1 y_1)[/tex] - a point of a line

We have

[tex]m=-\dfrac{1}{4};\ (-4;\ 1)\to x_1=-4;\ y_1=1[/tex]

Substitute:

[tex]y-1=-\dfrac{1}{4}(x-(-4))\\\\y-1=-\dfrac{1}{4}(x+4)[/tex]

=============================================

[tex]y-1=-\dfrac{1}{4}(x+4)\qquad|\text{use the distributive property}\\\\y-1=-\dfrac{1}{4}x-1\qquad|\text{add 1 to both sides}\\\\y=-\dfrac{1}{4}x[/tex]

Answer:

1/5, 5/12, 1/2, 5/9

Step-by-step explanation:

Answer:

1/5, 5/12, 1/2, 5/9

Step-by-step explanation:

This should be the ans

Answer:

The answer is C:41

Step-by-step explanation:

you have to set 6x-7 equal to 5x-1 which equals x=8 which now you replace x in 6x-7 with 8 which makes the equation 6(8)-7 which equals 41.

Answer:

Since M is the midpoint that means that LM is equal to MN so therefore

6x-7=5x+1

-5x from both sides

x-7=1

add 7 to both sides

x=8

then you substutie 8 for x in 6x-7

6(8)-7

solve!

41 - C

Hope this helps!

Answer:y

Step-by-step explanation:

Answer:

5 : 4

Step-by-step explanation:

60 : 48 ( divide each part by 12 )

= 5 : 4 ← in simplest form

Answer:

[tex]5 : 4[/tex]

Step-by-step explanation:

[tex]\frac{60}{12}=\frac{48}{12}[/tex]

[tex]=5 : 4[/tex]

Answer:

1 liter of milk

Step-by-step explanation:

Answer:

1 liter of milk

Step-by-step explanation:

Answer:

(6, -13)

Step-by-step explanation:

The rule is (x+2, y-8) so,

4+2=6

-5-8=-13

That would give you (6, -13)

Hope this helps

Answer:

Step-by-step explanation:

0.3

A. greater than 0.3

The Margin of error is 0.3 when assuming a 90% confidence level.

It is defined as an error that gives an idea about the percentage of errors that exist in the real statistical data.

The formula for finding the MOE:

MOE = z score * s/√n

Where   is the z score at the confidence interval

            s is the standard deviation

            n is the number of samples.

here, we have,

It is given that among 320 randomly selected airline travelers, the mean number of hours spent traveling per year is 24 hours and the standard deviation is 2.9.

It is required to find the margin of error when the confidence level is 90%.

We have in the question:

at 90% confidence interval = 1.645 (From the Z score table)

s = 2.9

n = 320

Put the above values in the formula, we get:

MOE = 0.2666

Rounding the nearest tenth:

MOE = 0.3

Thus, The Margin of error is 0.3 when assuming a 90% confidence level.

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Answer:

x = 900 or 1.50 * x = 1,350 (Though I advise you to use x = 900)

Step-by-step explanation:

Divide 1,350 by 1.50 to see that they need to sell exactly 900 bars. We can fact check by using a calculator to do the equation 1.50 * 900 = 1,350.

Answer:

5 2/5

Step-by-step explanation:

Thats the answer kiddo.

Answer:

y = 10x - 6

Step-by-step explanation:

If we know the function is linear then we can use any two coordinate pairs to find the slope of the line.

Note that the first pair is (0, -6) and the last pair is (4, 34).  The 'run' is from x = 0 to x = 4, a 'run' of 4.  The 'rise' is from -6 to34, a 'rise' of 40.  Thus, the slope of this line is m = rise / run = 40/4 = 10.

Again using the coordinate pair (0, -6), along with the slope-intercept form of the equation of a straight line, we get:

-6 = 10(0) + b, so we know that b = - 6 and that the equation of this line must therefore be:

y = 10x - 6

The required slope-intercept form of the function is y = 10x - 6.

The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

Here,
m = (y₂ - y₁) /  (x₂ - x₁)
Substitute 2 pairs from the table in the above equation,
m = (4 + 6)/(1-0)
m = 10
Now put the slope and one pair in the slope-intercept form of the equation

y - y₁ = m (x - x₁)
y + 6 = 10(x - 0)
y = 10x - 6

Thus, the required slope-intercept form of the function is y = 10x - 6

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Answer:

Step-by-step explanation:

x^2 - 64 is the same as x^2 - 8^2 and is "the difference of two squares."

Hey there!

9) Answer: D. :---- (x +8)(x-8)

10) Answer: P. :------(x-2y)^2

11) Answer: D. :-----(2a+3b)*(2a-3b)

12) Answer: P. :-----(a+4b)^2

13) Answer: P. :-----(x-3)^2

14) Answer:. D. :----(5xy+9z)*(5xy-9z)

15) Answer: P. :-----(2a+1)^2

16)Answer: D. :---(4ab+5)*(4ab-5)

Answer:

It is either A or B because 48+56 equal 104 and A and B Both equal 104

Answer:

ok so first we have to do whats in the parethese so

8-3+12*2

then we do multiplycation

8-3+24

then we just do left to right

5+24=29

so a

Hope This Helps!!!

Answer:

A(29)

Step-by-step explanation:

First you do parenthesis.

what is 7 - 4 it=3

Next do 12 x 2 what is 12 x 2 it is 24 but don't do anything with it.

Now we go to subtraction and what is 8 - 3 it is 5.

Finally were going to do 5 + our 12 x 2.

what is 5 + 24 it is 29. And there's your answer.

The order for the is problem is P(parenthesis)

P| parenthesis

E| exponents

M,D| Multiplication and division left to right.

A,S| Addition and subtraction also left to right.

Again
_____              

Answer is  29

           _______

Hope it helps have  a great day:)

Answer:F(x) = 10x+30

Step-by-step explanation:

X=3

The function which represents the test score determined by the number of correct answers is f(x) = 30 + 10x.

An equation is said to be linear equation in two variables if it is written in the form of ax + by + c=0, where a, b & c are real numbers and the coefficients of x and y, i.e. a and b respectively, are not equal to zero.

According to the given question

We have

Total number of problems in a math test = 7

Total points given to each problem if it is correct = 10

Every text taker receives  points for taking a test = 30

Let x represents number of correct answers given by the test taker and f(x) be the total score earned by the test taker.

Now, the function or linear equation  in two variable which represent the given scenario is

f(x) = 30 + 10x

Hence, the function which represents the test score determined by the number of correct answers is f(x) = 30 + 10x.

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Answer:

I`m not sure if it is asking for a fraction probability for decimal probability so I have both answers...

3/22 is the fraction form, since it cant be simplified

3 / 22 = .136

so that number rounded is .14

aka 14% chance of winning

Answer: (0, 6)

Step-by-step explanation:

The value of pi is about 3.14, and it is the same when using both the area and circumference.

The circumference is given by:

Circumference = π * diameter

For circle A:

25.12 = π * 8

π = 3.14

For circle B:

9.42 = π * 3

π = 3.14

The area is :

Area = π * diameter² / 4

For circle A:

50.24 = π * (8²)/4

π = 3.14

For circle B:

7.065 = π * (3²)/4

π = 3.14

The value of pi is about 3.14, and it is the same when using both the area and circumference.

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Answer:

m(arc)PM = 139°

Step-by-step explanation:

m<N = (1/2)[m(arc)PM - m(arc)OM]

59 = (1/2)[m(arc)PM - 21]

118 = m(arc)PM - 21

m(arc)PM = 139°

he width of a rectangular box is twice the height and the length is 7 inches more than the height. If the volume is 72 cubic inches

your welcome

have a good day or night

Add all his expenses together:

1200 + 200 + 200 + 50 + 100 + 50 = $1,800

Subtract his expenses from his pay:

1950 - 1800 = 150

Divide how much the emergency savings is by the amount left over per month:

1500/150 = 10

it will take 10 months

Answer:

240m² of liquid

Step-by-step explanation:

[tex]\frac{192}{24}= 8[/tex]

30×8=240

Answer:

The steps to do this :

[tex]2(g - h) = b + 4[/tex]

[tex]g - h = \frac{b + 4}{2} [/tex]

[tex]g = \frac{b + 4}{2} + h[/tex]

[tex]g = \frac{b}{2} + \frac{4}{2} + h[/tex]

[tex]g = \frac{b}{2} + 2 + h[/tex]

2(g - h)=b + 4

Use the distributive property on the left side:

2g - 2h = b +4

Add 2h to both sides:

2g = 2h + b + 4

Divide both sides by 2:

g = (2h + b + 4)/2

Simplify:

g =  b/2 + 2 + h ( note the order of h, 2 and b/2 can be different)

The bar that represents the bar that would be the largest in a histogram would be 2/15.

To identify the bar that would be the largest in a histogram we must take each of the options and perform the division to obtain a decimal number. Once we have all the decimal numbers, we must identify which is the largest of them and thus we will know which one would represent a larger bar in a histogram. Here is the procedure:

According to the above, the one that represents a larger bar would be 2 / 15 = 0.13

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Answer:

$6000.00

Step-by-step explanation:

1. Create an Equation

y/100x(20-10)=600

2. Solve

y/100x(20-10)=600

y/100x10=600

y/100x100x10=600x100

y x 10=60000

10y/10=60000/10

y=6000

3. Check

6000/100x(20-10)=600

60x(20-10)=600

60x10=600

600=600

Correct!

4. Answer

$6000.00

Answer:

$2

Step-by-step explanation:

Credits:

Jason initial amount in his account = $6

Amount deposited for the week = $7

Total credit = $7+$6

Total credit = $13

Debit:

Cost of lunch bought on Tuesday = $2

Cost of lunch bought on Thursday = $5

Cost of lunch bought on Friday = $4

Total cost of lunch for the week = $2+$5+$4 = $11

Amount debited = $11

Balance left after he bought lunch on Friday = amount credited - amount debited

Balance = $13-$11

Balance = $2

Hence Jason had $2 balance left after buying his Friday lunch.