Look at the attachment for my question. Please help!

a. 2⁵ × 2^(3) = 2^(a) is a = 8.

b. 7⁴/[tex]7^b[/tex] = 7⁻² is b = 6.

c. [tex]8^c[/tex] = 1/64 is c = - 2.

Some common rules of exponents are

[tex]{a^b}\times{a^c} = a^{b + c}[/tex].

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

We can only add and subtract exponents only when we have the same base.

Given,

2⁵ × 2³ = [tex]2^a[/tex].

[tex]2^{5+3}[/tex]= 2^(a).

[tex]2^8[/tex] = [tex]2^a[/tex]

a = 8.

[tex]\frac{7^4}{7^b}[/tex] = [tex]7^{-2}[/tex]

[tex]7^{4-b}[/tex] = [tex]7^{-2}[/tex].

4 - b = - 2.

- b = - 6.

b = 6.

[tex]8^c[/tex] = 1/64.

[tex]8^c[/tex] = 1/[tex]8^2[/tex].

[tex]8^c[/tex] = [tex]8^{-2}[/tex]

c = - 2.

learn more about exponents here :

https://brainly.com/question/15993626

#SPJ2

Answer:

Step-by-step explanation:

Length of each leg = hypotenuse/√2

= 7√3/√2 units

= 7√6/2 units

Answer:

b. 7 4/5 in

Step-by-step explanation:

First, turn 1 2/5 and 2 1/2 into decimals which would be 1.4 and 2.5. Then, multiply 1.4 by 2 and 2.5 by 2 since you have to add up all the sides of the rectangle. Then, add the products to get the perimeter of 7.8 inches. (4/5 = 0.8).

Answer:

$172.35

Step-by-step explanation:

The computation of the amount need to pay for 795 gallons is shown below

Up to 500 gallons it charges $0.15 per gallon

And, for more than 500 gallons till 1000 gallon, it charges $0.33 per gallon

So for 795 gallon, the total amount would be

= 500 × $0.15 - (795 - 500) × $0.33

= $75 + $97.35

= $172.35

Answer:

C. y = 1/2x - 1

Step-by-step explanation:

The slope is 1/2 (line moves up 1 and right 2).

The y-intercept is -1 since that is where the line crosses the y-axis.

Answer:

5 men

Step-by-step explanation:

4m × 4h = 12

xm × 8h=36

x m = 4.5

Answer:

17

Step-by-step explanation:

6+15 =21

DB = A F

CB = A F -4

CB = 21-4 = 17

Answer:

55

Step-by-step explanation:

62+63=125

180-125=55

Answer:

The answer for this equation is 2x⁶.

Step-by-step explanation:

In order to solve the equation, you have to Take out the Constants.

[tex] \frac{20}{10} {x}^{4} {x}^{2} [/tex]

Now you have to Simplify 20/10 to 2 because 10 divided by 20 is 2.

[tex] {2x}^{4} {x}^{2} [/tex]

And now you have to Use the product rule:

[tex] {x}^{a} {x}^{b} = {x}^{a + b} [/tex]

[tex]2x ^{4 + 2} [/tex]

and lastly, you have to simplify 4 + 2 to 6.

[tex] {2x}^{6} [/tex]

Therefor, the answer for this equation is 2x⁶.

Answer:

i have questine

Step-by-step explanation:

Answer:

b(n) = -23 + 18n

Step-by-step explanation:

NOTE - This is an arithmetic sequence, so each number is increasing by addition. If you were in a geometric sequence, however, you'd be multiplying. This means that the explicit formula for the geometric sequence you'll be learning later on will be different.

The formula for explicit formula is b(n)=b(1)+d(n-1). The variable d represents the common difference and the a is whatever number of the term you are using.

Since you have b(1), you look at what your first term is. Plug -5 into a(1).

To find your common difference, find 13-(-5). This is 18, and adding it to the others you can see that it continues.

So, plugging in what you have so far it looks like b(n) = -5 + 18(n - 1)

All we need to do now is simplify.

1. Distribute: -5 + 18n - 18

2. Add like terms: -23 + 18n

Hope this helped and made sense lol.

Answer:

OP and OR

Step-by-step explanation:

When the two segments intersect they form a 90-degree angle implying that the lines are perpendicular.

Answer:

2/3

Step-by-step explanation:

2*√3/3*√3/3

√3/3*√3/3=1/3

2*1/3=2/3

Answer:

B. The lower extreme increased.

Step-by-step explanation:

From the original box and whisker plot, the lower extreme (minimum) is 5 ; The upper extreme, maximum is 15.

The number of batches baked on the eight day is 20. This exceeds tbe previous maximum value. Hence, upper extreme( maximum) value of the new plot will change from 15 to 20.

The lower extreme isn't affected as the obtained value isn't below 5.

The median value will Increase and the upper quartile value will also increase. Once the upper quartile value increases, the interquartile range will also increase

Answer:

750.8in squared

Step-by-step explanation:

The area of a regular polygon is one-half times the length of the apothem times the perimeter.

Notice that the formula combines the areas for the six triangles that fit inside the hexagon.

The perimeter is equal to the sum of the six triangle bases and the apothem is the height of each triangle.

The interior angles of the hexagon have a measure of 120°

, so the angles at the base of the triangle (and the third angle) have measure 60°

.The height forms a 30°−60°−90°

triangle, which has one leg equal to half of the hexagon side, or 8.5 in.

, and the other leg equal to 8.53–√ in

The figure shows a regular hexagon. Each angle of the hexagon measures 120 degrees. There is a triangle inside the hexagon. The base of the triangle coincides with one of the sides of the hexagon and one of the vertices of the triangle is the center of the hexagon. The length of the apothem is 8.5 times square root of 3 inches. The angles at the base of the triangle measure 60 degrees. The angle between the apothem and the side of the triangle measures 30 degrees. The apothem divides the base of the triangle into two parts. One of the parts is 8.5 inches long.

Find the perimeter of the hexagon.

P=6(17)

Simplify.

P=102in.

The formula for the area is A=12aP

. Substitute the known values and simplify.

A=12(8.53–√)(102)

=433.53–√in2

Round to the nearest tenth as 750.8 in

Therefore, the area of the regular hexagon with side length 17in.

is A≈7508. in2

.

Complete question :

Imagine you are starting an office supply business. Your overall costs for supplies are $100. You plan on selling binders for $4 each and pencils for $2 each. Let x represent the number of binders sold and y represent the number of pencils sold. Give an expression for the profit made.

Answer:

(2y + 4x) - $100

Step-by-step explanation:

Given that:

Cost of supply = $100

Supplies :

binders, sales price = $4

Pencils, sales price = $2

Number of binders sold = x

Number of pencils sold = y

The revenue from sale :

(Cost of pencils * number of pencils) + (cost of binders * number of binders)

Revenue = 2y + 4x

Profit, p = Revenue - Cost of supply

p = (2y + 4x) - $100

Answer:

They are not similar.

Step-by-step explanation:

The angles of a triangle add up to be 180°. If they were similar, the triangle angles would have to be 60°, 40°, and 80°. Because one of the angles is 81°, the triangles cannot be similar.

81° + 40° + 60° does not equal 180.

Answer:

1/10

Step-by-step explanation:

Answer:

The answer is 203 cubed in

Step-by-step explanation:

7 x 11 = 77

77 x 2 = 154

7 x 7 = 49

154 + 49 = 203

Answer:

$132.59 is the answer

Answer:

10 x 10 = 100

6 x 6 = 36

:)

Answer:

10*10=100 | 6*6=36

Step-by-step explanation:

Well, 100/10=10

36/6=6

--------------

10+10+10+10+10+10+10+10+10+10=50+50=100

6+6+6+6+6+6=18+18=36

Answer:

x=6

Step-by-step explanation:

Answer:

Webca-mtoy.com   webca-mera.io       I only know 2

Step-by-step explanation:

Answer:

1, 2 and 3

Step-by-step explanation:

First you must know that the coordinate of a point is expressed as (x, y) wgere

x serves as the input value (domain)

y serves as the output values

Given the coordinates (1, 4), (2, 5), (3, 6), the input values will be the values at the x coordinates of the points that is 1, 2 and 3.

Answer:

the width is 3

Step-by-step explanation: