The table shows how the average cost of gasoline at one gas station changed over the past four months. Which graph might a magazine use to show the data?

Answer:

Length of AC = 6.67 miles

Step-by-step explanation:

Given:

Angel between B and C = 90°

Angel between A and C = 77°

AB = 1.5 miles

Find:

Length of AC

Computation:

Using trigonometric laws

Cos 77° =  Base / hypotenuses

0.225 = 1.5 / hypotenuses

hypotenuses = 6.67 miles

Length of AC = 6.67 miles

Answer:

Step-by-step explanation:

Let organise our information :

we can say that :

        x ⇒ 8 percent

so :

           = 6.4

so the interest is 6.4 dollars

so the total cost is 86.4

Answer:

-2

Step-by-step explanation:

Answer: x = -2

Step-by-step explanation:

3x + 8 = 2

3x = -6

x = -2

Answer:

Step-by-step explanation:

Given the total number of employee to be equal to 12 temporary employee.

Number of women employee = 5 women

Number of men employee = 12 - 5 = 7 men

If 4 will be hired as permanent employees, the possible ways they can be grouped so that the 4 temporary employees consists of 3 women and 1 man can be done by applying the combination formula.

Combination has to do with selection. For example, if r objects are to be selected from n pool of similar objects, this can be done in nCr different ways.

[tex]nCr = \frac{n!}{(n-r)!r!}[/tex]

According to question, we are to select 3 women from 5 women and 1 man from 7 men. Based on similarity in sex, this can be done in (5C3* 7C1) different ways .

[tex]5C3 * 7C1\\= \frac{5!}{(5-3)!3!} * \frac{7!}{(7-1)!1!}\\\\= \frac{5!}{2!3!} * \frac{7!}{6!1!}\\\\= \frac{5*4*3!}{3!*2} * \frac{7*6!}{6!*1}\\\\= \frac{20}{2} * \frac{7}{1}\\ \\= 10*7\\\\= 70\ possible\ groups[/tex]

Answer:

BF=16

Step-by-step explanation:

To find BF, (I will be calling it x) you need to use the equation

CF/FB=CE/EA Substitute

FB=x

24/x=18/12 cross multiply

18x=288 divide both sides by 18

x=16

FB=16

Hope this helps, if it does, please consider giving me brainliest, it will help me a lot.

Have a good day! :)

Answer:

the graph shift down 135 units

Step-by-step explanation:

when there is no fixing cost:

f(x)=12x-1400

when there is fixing cost (0ne time): 12x-(1400+135)

the graph shift down 135 units

Those $ 135 will be added to the fixed cost, by increasing the expense with respect to the embroidery, with which the function will become the following: f (x) = 12x - (1,400 + 135).

Since Keenan buys an embroidery machine for $ 1,400, and he uses it to embroider T-shirts, and his total profit in dollars from selling the T-shirts is represented with the function f (x) = 12x - 1,400, and when the machine breaks, he pays $ 135 to have it fixed, to determine how does that cost affect a graph of Keenan's profit function, the following mathematical analysis must be performed:

Therefore, those $ 135 will be added to the fixed cost, by increasing the expense with respect to the embroidery, with which the function will become the following: f (x) = 12x - (1,400 + 135).

Learn more in https://brainly.com/question/15853856

Answer:

B. 4

Step-by-step explanation:

(4^1/5)^5

Apply law of exponents.

4^(1/5 × 5)

4^(5/5)

4^1

= 4

Answer:four

Step-by-step explanation:blah blah blah its correct:)

Answer:

aₙ= 6n+1

Step-by-step explanation:

7,13,19,25,31

Given, AP with the first term of 7, and common difference of 6

Nth term:

Answer:

B. 2/6

Step-by-step explanation:

A fair ordinary dice has 6 sides.

The numbers 4 or 5 on the dice are 2 numbers out of 6 total numbers.

2/6

Answer:

B. 2/6

Step-by-step explanation:

A ordinary dice has 6 sides.

4 and 5 make 2 sides.

So the answer will be 2/6

The answer to this problem is x> -64

Step-by-step explanation:

[tex]x - 4 < 16 \\ x < 16 + 4 \\ x < 20[/tex]

x={...17,18,19}

Answer:

Hey!

We have been given the price of $26.76. This is the price for 4 pairs of insulated gloves. But, we need to know the unit price.

Unit, means the price of one of those pairs of gloves. To find that we divide.

$26.76 ÷ 4 = 6.69.

But, this is NOT the answer. The answer HAS to have a dollar sign and an explanation.

Our final answer is:

It costs $6.69 for each pair of insulated gloves.

Thank you for your time. Good luck on your assignment!! :D

Answer:

b, d, e

Step-by-step explanation:

The distance between the center and each covertex is [tex]3[/tex] units.

Each focus is approximately [tex]2.65[/tex] units above or below the center.

The directrices are horizontal lines approximately [tex]6[/tex] units from the center on the major axis.

An ellipse is just a circular plane curve created by a geographical distances in such a manner that the sum of its lengths from two points is always the same.

The distance between the center and each covertex is [tex]3[/tex] units.

Each focus is approximately [tex]2.65[/tex] units above or below the center.

The directrices are horizontal lines approximately [tex]6[/tex] units from the center on the major axis.

Find out more information about ellipse here:

https://brainly.com/question/19507943?referrer=searchResults

Answer:

V =3408 pi units^3

Step-by-step explanation:

The volume of a cone is found by

V = 1/3 pi r^2 h

The radius is 12 and the height is 71

V = 1/3 pi (12)^2 *71

V =3408 pi units^3

Answer:

B

Step-by-step explanation:

Use the formula for the volume of a cone.

v = 1/3πr²h

r = 12

h = 71

v = 1/3π(12)²(71)

v = 1/3π(10224)

v = 3408π

Answer:

H = 3 handlers

There are 3 handlers in the show.

Step-by-step explanation:

Given;

Number of dogs in the show N = 18 dogs

Number of handler in the show H;

The number of dogs in the show was 6 times the number of handlers

N = 6H

H = N/6

Substituting the value of N;

H = 18/6

H = 3

There are 3 handlers in the show.

Answer:

H = 3 handlers

Step-by-step explanation:

Answer:

[tex]y=\frac{1}{3}x[/tex]

Step-by-step explanation:

The given line segment has a midpoint at (3, 1) and goes through (2, 4), (3, 1), and (4, -2). We can use any two of the three points to calculate the equation of the line. Let us use the points (2, 4) and (4, -2)

Therefore the line goes through (2, 4) and (4, -2). The equation of a line passing through [tex](x_1,y_1)\ and\ (x_2,y_2)[/tex] is:

[tex]\frac{y-y_1}{x-x_1}=\frac{y_2-y_1}{x_2-x_1}[/tex].

Therefore the line passing through (2, 4) and (4, -2) has an equation:

[tex]\frac{y-y_1}{x-x_1}=\frac{y_2-y_1}{x_2-x_1}\\\frac{y-4}{x-2}=\frac{-2-4}{4-2}\\\frac{y-4}{x-2}=\frac{-6}{2}\\y-4=x-2(-3)\\y-4=-3x+6\\y=-3x+10[/tex]

Comparing with the general equation of line: y = mx + c, the slope (m) = -3 and the intercept on the y axis (c) = 10

Two lines are said to be perpendicular if the product of their slope is -1. If the slope of line one is m1 and the slope of line 2 = m2, then the two lines are perpendicular if:

[tex]m_1m_2=-1[/tex].

Therefore The slope (m2) of the perpendicular bisector of y = -3x + 10 is:

[tex]m_1m_2=-1\\-3m_2=-1\\m_2=\frac{1}{3}[/tex]

Since it is the  perpendicular bisector of the given line segment, it passes through the midpoint (3, 1). The equation of the perpendicular bisector is:

[tex]\frac{y-y_1}{x-x_1}=m\\\frac{y-1}{x-3}=\frac{1}{3}\\ y-1= \frac{1}{3}(x-3)\\ y-1=\frac{1}{3}x-1\\y=\frac{1}{3}x[/tex]

the equation, in slope-intercept form, of the perpendicular bisector of the given line segment is [tex]y=\frac{1}{3}x[/tex]

Answer:

I believe the answer is A. y = 1/3x

Step-by-step explanation:

Answer:

a. 1/12 (hope it help)

Step-by-step explanation:

5sec/60sec=1/12

Answer:

386.11

Step-by-step explanation:

32,860=€386.11

Answer:

not a function

Step-by-step explanation:

This is not a function.  For the value x =2 there are two different y values

To be a function each value of x has only one value for y

This would also fail the vertical line test

Answer:

This is a geometric sequence.

Answer:

Answer Would Be D.

Step-by-step explanation:

There is an even amount of dots on each side of the divider.

Answer:

It is D~~

Step-by-step explanation:

If we were to imagine the trend line and draw a oval around it and then draw a line in the middle, then D would be correct.

btw sorry if this answer... is like... too late. o_o

Step-by-step explanation:

[tex]64.24 = 4x \\ \frac{64.24}{4} = \frac{4x}{4} \\ 16.06 = x[/tex]

so one book is $16.06

Answer:

Step-by-step explanation:

Answer:

y intercept is -4 and the slope is 2. You can figure it out from there. Just make a graph

Step-by-step explanation:

Answer:

3.53 inch

Step-by-step explanation:

area = 1/8 π r² with r=3 inch (half diameter)

= 9/8 π ≈ 3.534 inch²

Answer:

2.53 in,3.53 in

i hope this helps sorry if it doesn't

Answer:

103 pledges

Step-by-step explanation:

The equation we have here is;

C = 8n + 25

Now we need to find n given that c is $850

simply substitute for the value of c in the question

850 = 8n + 25

850-25 = 8n

825 = 8n

n = 825/8

n = 103.125

But since a pledge cannot be fractional, we can say that n = 103

Answer:

x = 80°

Step-by-step explanation:

from SOH CAH TOA

we are going for TOA

where TOA => Tan x = Opposite side of the Angle

                                      Adjacent Side of The Angle

Tan x = 27500

             5000

Tan x = 5.5

       x = Tan⁻¹ 5.5

                    or

            = arctan 5.5

            = 79.70°

            ≈ 80°

Answer:

x = 80°

Step-by-step explanation:

Answer:

12n + 5.50

Step-by-step explanation:

Since 12 represents how much money she gets paid from the Martin's family: the 'n' is the variable which stands for each day because we don't kknow how many days she watches the cat but when we multiply the 12 by the 'n', we get the days. We add an additional 5.50 because she has a side job as well with the Clark's family. which is how you get 12n+5.50

Answer:

r = -9/10

Step-by-step explanation:

Given

7/10 = r - (-8/5)

Required

Solve for x

7/10 = r - (-8/5)

We start by opening the bracket

7/10 = r + (- -8/5)

7/10 = r + (8/5)

7/10 = r + 8/5

Subtract 8/5 from both sides

7/10 - 8/5 = r + 8/5 - 8/5

7/10 - 8/5 = r

Solve the fraction by taking their LCM

(7 - 16)/10 = r

-9/10 = r

Reorder the above

r = -9/10

Hence, the value of r is -9/10

Answer:

4(− 5/7 )

Step-by-step explanation: