The manager at the Fuel Stop gas station says that gas prices are decreasing across the country and their station will still make a profit as long as there is not a greater than 10% decrease in gas prices. Gas prices decreased this week from $4 per gallon to $3.80 per gallon. Will Fuel Stop continue to make a profit? Why or why not?

Answer: [tex](-2,3)[/tex], [tex]r=5\ \text{units}[/tex]

Step-by-step explanation:

Given

the equation is [tex]x^2+y^2+4x-6y-12=0[/tex]

completing the square

[tex]\Rightarrow (x^2+2\times 2\times x+4-4)+(y^2-2\times3\times y+9-9)-12=0\\\Rightarrow (x^2+2\times 2\times x+4)+(y^2-2\times3\times y+9)-12-4-9=0\\\Rightarrow (x+2)^2+(y-3)^2=25\\\Rightarrow (x+2)^2+(y-3)^2=5^2\\\Rightarrow (x-(-2))^2+(y-3)^2=5^2[/tex]

Thus, the center of the circle is [tex](-2,3)[/tex] and radius is [tex]r=5\ \text{units}[/tex]

Answer:

i would have helped u

Step-by-step explanation:

but i have forgotten the steps in solving this question

Answer:

is this Afrikaans laguage I don't understand your questions please comment it in English for me

Answer:

28

Step-by-step explanation:

I'm not sure but like this

(ADC)=16

(ACB)=12

16+2=(DCB)=28

Answer:

18 eggs

Step-by-step explanation:

first we divide 24 by 8 to see how many eggs are in one omlete

24/8=3

Now we take 3 times 6 ( because there is 6 people you are making it for)

6x3=18

18 eggs

If you need more help I would love to help!

Answer:

18 eggs

Step-by-step explanation:

1: x/24=6/8

2: 24*6=144-(1st step for cross multiplication)

3: 144/8=18-(2nd step for cross multiplication)

4: 18 eggs-(final answer)      

Cross multiplication: Write your 2(or more) equivilent fractions, and write your variable as x or any other letter. If your variable is in the numerator, take the denominator and multiply it with the other fraction's numerator and divide your answer with the denominator of the other fraction. If x is in the denominator, switch your variable with the other fractions numerator and solve the same way you would if the variable was in the numerator-(sorry if I made it to complex, but the idea is really simple:)

Answer:

121

Step-by-step explanation:

If GH=11, then you multiply 11 times 11 to get 121. YUR WELCOME

Answer:

1) 1,095

Step-by-step explanation:

[tex]a^{2} +1300^{2} =1700^{2} \\ a^{2} =1700^{2} -1300^{2} \\ =2890000-1690000\\ =1200000[/tex]

[tex]a^{2} =1200000\\ a=\sqrt{1200000} \\ a=1095.4451[/tex]

round to 1,095

Answer:

The answer is 1

Step-by-step explanation:

[tex]a =\sqrt{c^{2} - {b^{2 } \\[/tex]

[tex]a = \sqrt{1700^2 - 1300^2}[/tex]

[tex]a = \sqrt{2890000 - 1690000}[/tex]

[tex]a = \sqrt{1200000}[/tex]

[tex]a = 1095.4451150103[/tex]

Answer:

The answer is D. = 0.99

Answer:

Step-by-step explanation:

It’s 2

Answer:

[tex]1 + 1 = 2[/tex]

[tex]espero \: haberte \: ayudado[/tex]

Answer:

x = 32, y = 51

Step-by-step explanation:

Since the triangles are congruent then corresponding sides and angles are congruent, that is

∠ U = ∠ N

∠ N = 180° - (142 + 24)° = 180° - 166° = 14° , then

2x - 50 = 14 ( add 50 to both sides )

2x = 64 ( divide both sides by 2 )

x = 32

and

NP = US

2x - y = 13

2(32) - y = 13

64 - y = 13 ( subtract 64 from both sides )

- y = - 51 ( multiply both sides by - 1 )

y = 51

Using the triangle theorem, the values of x and y is 32° and 51° respectively

From △MNP

∠M + ∠N + ∠P = 180° (Sum of interior angles in a triangle)

N = 180 - (142 + 24)

N = 180 - 168

N = 14°

Equate the expression :

2x - 50 = 14

2x = 14 + 50

2x = 64

x = 64 / 2

x = 32°

From ; 2x - y = 13 _____(1)

Substitute x = 32 into the expression ;

2(32) - y = 13

64 - y = 13

64 - 13 = y

51° = y

Therefore, the values of x and y is 32° and 51° respectively.

Learn more : https://brainly.com/question/8317316

Answer:

y =MX + c is the formula of slope intercept form

Answer:

x = 9

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (2, 6) and (x₂, y₂ ) = (x, - 5 )

m = [tex]\frac{-5-6}{x-2}[/tex] = [tex]\frac{-11}{x-2}[/tex] , then

[tex]\frac{-11}{x-2}[/tex] = - [tex]\frac{11}{7}[/tex] ← numerators are equal, so equate the denominators

x - 2 = 7 ( add 2 to both sides )

x = 9

V=lwh/3

=3*1*7/3

=21/3

=7

Hope you like my answer.

Answer:

V=7 (Volume)

Step-by-step explanation:

V=lwh/3=3*1*7/3=7

Explanation: There are four equal sections, one of which is red. So the probability of landing in the red space is 1/4.

Answer:

The probability of the coin landing on heads 3 out of 8 times is 0.22, but the closest thing to that is 0.219.

Answer:

Step-by-step explanation:

The answer is exactly 0.219

You have 8 objects and you want to choose 3 of them. 8 Choose 3 looks like

8 * 7 * 6 / 3!

3! = 6

So the answer is 8*7 = 56

There are 2^8 = 256 ways you can throw either heads or tails.

The number of successes = 56/256 = 0.219 The nine is rounded.

Answer:

[tex]g(x)=-2\sqrt[3]x[/tex]

or

[tex]g(x) = -2f(x)[/tex]

Step-by-step explanation:

Given

[tex]f(x) = \sqrt[3]x[/tex]

Required

Write a rule for g(x)

See attachment for grid

From the attachment, we have:

[tex](x_1,y_1) = (-1,2)[/tex]

[tex](x_2,y_2) = (1,-2)[/tex]

We can represent g(x) as:

[tex]g(x) = n * f(x)[/tex]

So, we have:

[tex]g(x) = n * \sqrt[3]x[/tex]

For:

[tex](x_1,y_1) = (-1,2)[/tex]

[tex]2 = n * \sqrt[3]{-1}[/tex]

This gives:

[tex]2 = n * -1[/tex]

Solve for n

[tex]n = \frac{2}{-1}[/tex]

[tex]n = -2[/tex]

To confirm this value of n, we make use of:

[tex](x_2,y_2) = (1,-2)[/tex]

So, we have:

[tex]-2 = n * \sqrt[3]1[/tex]

This gives:

[tex]-2 = n * 1[/tex]

Solve for n

[tex]n = \frac{-2}{1}[/tex]

[tex]n = -2[/tex]

Hence:

[tex]g(x) = n * \sqrt[3]x[/tex]

[tex]g(x)=-2\sqrt[3]x[/tex]

or:

[tex]g(x) = -2f(x)[/tex]

Answer:

The answer is 3.98942, rounded its 3.99.

Step-by-step explanation:

Answer:

3.99 ft

Step-by-step explanation:

Volume of a cylinder = πr²h

π = 3.14

volume = 500 ft³

height = 10 ft

πr²h = 500

3.14×r²×10 = 500

r² = 500/3.14×10

= 15.92..

= √15.92

r = 3.9899.. ≈ 3.99 ft

Answer:

4484 - 6448

Step-by-step explanation:

Given: 1 second = 1121 - 1612.

To find: How high the arrow will be after 4 seconds.

Solution:

If 1 second = 1121 - 1612, then 4 seconds = 4 × 1

4 × 1121 - 1612 = 4484 - 6448

Therefore, the arrow will be as high as 4484 - 6448 in 4 seconds.

Answer:

The volume at the highest point is 64 times greater

Step-by-step explanation:

Mathematically, the volume of a sphere is simply the same formula irrespective of the size

Now, we have the formula as;

V = 4/3 * pi * r^3

While the 4/3 pi is a constant term, the value of r changes

initially we have the value of r as d = 2

where r is the radius and d is the diameter

we have this as;

8/2 = 4 ft

r^3 of this is 4^3 = 64

For the second part, we have

r as 32/2 = 16 ft

now, the r^3 part here is 16^3 = 4096

So now, we have to divide the final by the initial

we have this as 4096/64 = 64

So the volume at the highest point is 64 times greater

Answer:

[tex]\frac{1}{18}[/tex]

Step-by-step explanation:

Answer: 10x^3(6+5x^2)

Answer:

they should be either 150 yards away or 200 yards away.

Step-by-step explanation:

Btw The walking dead was a good choice

Answer:

The length of the box is 6 cm. The width of the box is 3 cm. The height of the box is 2 cm.

Step-by-step explanation:

volume = length x width x height In this instance volume = 36 m³. I will let “b” be the length of the box. “w’ will be the width of the box. And “h” will be the height of the box. Therefore we know that b = 2w and b=3h. So: w= b /2 and h=b /3.

36 m³= b(b/2)(b/3)

36 = b³/6

b ³ = 216

b = 6

w = 6/2 = 3

h = 6/3 = 2

Answer:

40 m

Step-by-step explanation:

The length of another side

= 99÷11

= 9 m

The perimeter of the field

= 9×2 + 11×2

= 40 m

Answer:

40 m

Step-by-step explanation:

Hi there!

What we know:

1) Find the length of the other side

Plug all the given information into the area formula for a rectangle:

[tex]A=lw[/tex] where A is the area, l is the length and w is the width

[tex]99=11w[/tex]

Divide both sides by 11 to isolate w

[tex]\frac{99}{11} = \frac{11w}{11} \\9=w[/tex]

Therefore, the width of the field is 9 m.

2) Find the perimeter of the field

[tex]P=2(l+w)[/tex] where l is the length and w is the width

Plug in the length (11 m) and the width (9 m)

[tex]P=2(11+9)\\P=2(20)\\P=40[/tex]

Therefore, the perimeter of the field is 40 m.

I hope this helps!

Answer:

i think its  (x - 5)3 = (x) f

Step-by-step explanation:

Answer: It is 23,000 Millimeters

Step-by-step explanation:

23 Meters =  23,000 Millimeters

Answer: maybe 2mm?

Step-by-step explanation:

Answer:

3 miles per hour

Step-by-step explanation:

It is given that Diego and his friends took part in a walk a thon to raise money for cancer research.

From the table, it is given that:

Time took by Diego in hours = 2 hours

Miles walked by Diego in miles = 6 miles

Therefore, Diego is walking with a speed of = [tex]$\frac{6}{2}$[/tex]

                                                                          = 3 miles per hour