The BP station sold gas for $2.49 per gallon. This week their gas prices are $2.61 a gallon. What was the percent increase in gas from last week to this week?

Answer:

We have the sentence:

"X by the power of 5 times y to the power of 6 over 2 by the power of -2 times x by the power of 0times x by the power of 9"

Let's break it into parts.

"X by the power of 5 times y to the power of 6..."

This can be written as:

x^5*y^6

"...  2 by the power of -2 times x by the power of 0times x by the power of 9"

This can be written as:

2^(-2)*x^(0)*x^(9)

And we have the quotient between the first thing and the second thing, then the equation is:

[tex]\frac{x^5*y^6}{2^{-2}*x^0*x^9}[/tex]

And any number by the power of 0 is equal to 1, then:

x^0 = 1, then we can rewrite the equation as:

[tex]\frac{x^5*y^6}{2^{-2}*x^9}[/tex]

We can keep simplifying this.

We know that:

a^(-n) = (1/a)^(n)

Then:

2^(-2) = (1/2)^2 = 1/4

Then we get:

[tex]\frac{x^5*y^6}{2^{-2}*x^9} = \frac{x^5*y^6}{x^9}*4[/tex]

And we also know that:

a^n/a^m = a^(n - m)

Then:

[tex]\frac{x^5*y^6}{x^9}*4 = 4*y^6*\frac{x^5}{x^9} = 4*y^6*x^{5 - 9} = 4*y^6*x^{-4} = \frac{4*y^6}{x^4}[/tex]

And we can't simplify this anymore.

Answerloser

Step-by-step explanation:

Answer:

the answer is 7 j

Step-by-step explanation:

b

Answer:

The answer is 9.

Step-by-step explanation:

2 squared = 4

4 + 5 = 9

Answer:

120

Step-by-step explanation:

boys : girls

8 : 5

x : 75

to find x, take 75 and divide it by 5:

75 ÷ 5 = 15

(you do this to determine how you can go from 5 to 75)

take the qoutient and multiply it by 8:

15 × 8 = 180

Answer:

1/4 of a pie

Step-by-step explanation:

2 / 8 = 1/4

Answer:

C and D

Step-by-step explanation:

both the squareroot of 19 and 23 are irrational because their square toots have decimals that go on infinately

Answer:

The answer is "2793 miles"

Step-by-step explanation:

In this firstly we convert degrees to radians, which can be defined as follows:

[tex]\to \theta =\frac{40^{\circ} \times \pi }{180^{\circ}}[/tex]

       [tex]=\frac{ 2\pi }{9}[/tex]

Now calculating the distance:

[tex]=\frac{2\pi }{9} \times 4000\\\\= \frac{8000 \pi }{9}[/tex]

[tex]=\frac{8000\times 3.14 }{9}\\\\ = \frac{25120}{9}\\\\=2793 \ miles[/tex]

Answer:

A. the degree is 4         11x^4-4x^2-12

B. The degree is 5        2x^5-3x^4+3x^3+7x+14

Step-by-step explanation:

The degree is always the highest or greatest exponent in the polynomial. To rearrange the polynomial put it in descending order from highest exponent to lowest exponent with x as an exponent of 1

Answer:

i think it is A

Answer:

NOCC CD REDSA  DFRESB BGF  DDDFGFDSDF

Step-by-step explanation:

Answer:

answer is: 7x^2-14x+10

Step-by-step explanation:

Answer:

x 8 skeiehrieheodbdoeneorbro

Answer:

y-5=5/8(x-8)

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-5-5)/(-8-8)

m=-10/-16

simplify

m=5/8

y-y1=m(x-x1)

y-5=5/8(x-8)

Answer:

2650

Step-by-step explanation:

Ok so,

3000-(3.5(100))

3.5 multiplied by 100 is 350, (move the decimal place 2 times to the right)

so it would be:

3000-350

Simply subtract.

3000-350= 2650

Answer: 2650

Cheers! I hope you can understand it well.

Answer:

w≤ -5

Step-by-step explanation:

hello :

w+4≤ -1

w+4-4≤ -1-7

w≤ -5

Answer:

800

Step-by-step explanation:

160 * 100% / 20% = 800

If 20% of a number is 160 then the original number is 800.

percentage, a relative value indicating hundredth parts of any quantity.

Given that 20% of number is 160

We need to find the original number.

Let the original number be x

Convert 20% to decimal value by dividing 20 with 100

20/100=0.2

Now multiply 0.2 with x which is equal to 160

0.2x=160

Divide both sides by 0.2

x=800

Hence, If 20% of a number is 160 then the original number is 800.

To learn more on Percentage click:

https://brainly.com/question/28269290

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Answer:

first one, and third one

Answer: 8.3 m

Step-by-step explanation:

Given

The angle of declination is [tex]50^{\circ}[/tex]

Earthworm is [tex]7\ m[/tex] away from the base of the tree

Suppose h is the height of the tree

from the figure, we can write

[tex]\Rightarrow \tan 50^{\circ}=\dfrac{h}{7}\\\\\Rightarrow h=7\tan 50^{\circ}=8.3\ m[/tex]

Answer:

2.2360679775

Step by-step explanation:

Calculator

Answer:

The amount of steel used = 94.38 [tex]m^{2}[/tex]

Step-by-step explanation:

Height of the tank = 4.5 m.

Diameter of the tank = 4.2 m.

But,

radius = [tex]\frac{diameter}{2}[/tex]

           = [tex]\frac{4.2}{2}[/tex]

radius  = 2.1 m

Total surface area of a cylinder = 2[tex]\pi[/tex]rh + 2[tex]\pi[/tex][tex]r^{2}[/tex]

                                      = 2[tex]\pi[/tex]r(r + h)

                                      = 2 x [tex]\frac{22}{7}[/tex] x 2.1 (2.1 + 4.5)

                                      = 44 x 0.3 (6.6)

                                      = 87.12

Total surface area of a cylinder = 87.12 [tex]m^{2}[/tex]

Since [tex]\frac{1}{12}[/tex] of the steel was wasted, then;

[tex]\frac{1}{12}[/tex] x 87.12 = 7.26 [tex]m^{2}[/tex]

Actual area of steel sheet used = 87.12 + 7.26

                                                     = 94.38 [tex]m^{2}[/tex]

Thus, 94.38 [tex]m^{2}[/tex] of steel was used in making the tank.

Answer:

1 cup of milk = 3cups of brown sugar

Answer:

It's 3

Step-by-step explanation:

Because...

When we see the table we can find that it is given 2×3=6, 6×3=18, .... and so on so if we multiply 3 with 1 cup of milk then

3×1=3

So from this the answer is 3

Hope you understood!!

Answer:

Perpendicular lines

Step-by-step explanation:

Brainliest plz

Hope this helped

Ty

Answer:

+ 2,345

Step-by-step explanation:

Above means positive, so the number would be positive.

Answer:

3. - 8n² -8n + 3

Step-by-step explanation:

(4n^4 - 8n +4) - (8n² + 4n^4 +1)

Firstly, open the brackets.

= 4n^4 - 8n +4 - 8n² -  4n^4 - 1

Now, group like terms.

= 4n^4 - 4n^4 - 8n² -8n - 1 + 4

4n^4 - 4n^4 cancel out with each other since one is negative and the other is positive. So we're left with - 8n² -8n - 1 + 4

= - 8n² -8n - 1 + 4

= - 8n² -8n + 3