which letter would be the most meaningful variable for the problem situation the weight of a box increase by 5​

Answer:

17

Step-by-step explanation:

6+15 =21

DB = A F

CB = A F -4

CB = 21-4 = 17

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).

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.

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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

.

Answer:

y = 3x - 5  

Step-by-step explanation:

1) First, place the given equation in slope-intercept form, represented by the formula [tex]y = mx +b[/tex], to find the slope. Whatever [tex]m[/tex] or the coefficient of x-term is will be the slope. Isolate y in the equation:

[tex]x + 3y = -6\\3y = -x -6\\y = -\frac{1}{3}x-2[/tex]

So, the slope of that line is [tex]-\frac{1}{3}[/tex]. Lines that are perpendicular have slopes that are opposite reciprocals, thus the slope of the new line will be 3.

2) Now, use the point-slope formula [tex]y-y_1 = m (x-x_1)[/tex] to find the equation of the new line. Substitute real values for the [tex]m[/tex], [tex]x_1[/tex] and [tex]y_1[/tex] in the equation.

Since [tex]m[/tex] represents the slope, substitute [tex]-\frac{1}{3}[/tex] in its place. Since [tex]x_1[/tex] and [tex]y_1[/tex] represents the x and y values of one point the line passes through, substitute the x and y values of (-1,-8) into the formula as well. Then, isolate the y in the resulting equation to put the equation in slope-intercept form and find an answer:

[tex]y-(-8) = 3 (x-(-1))\\y + 8 = 3(x+1)\\y + 8=3x + 3\\y = 3x -5[/tex]

Answer:

5 men

Step-by-step explanation:

4m × 4h = 12

xm × 8h=36

x m = 4.5

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:

Scalene triangle because it's all sides are unequal

Answer:

Scalene triangle

Step-by-step explanation:

Answer:

I AM SO SORRY but I need that point soo plsss Im sooo sorry

Answer:

The answer is (x+2)²+(y-3)²=29.

Hope it helps uh

Answer:

The domain or x-values are on the horizontal axis, this is what you spend.

The range or y-values are on the vertical axis, this is your bonus.

The points to be indicated:

Plot the points and connect to make a line.

The graph is attached

Answer:

Step-by-step explanation:

Length of each leg = hypotenuse/√2

= 7√3/√2 units

= 7√6/2 units

Answer:

Step-by-step explanation:

12(2y+1)-18y=36  <---- Distribute 12 into 2y+1

24y+12-18y=36 <----- Subtract 24y by 18y

6y+12=36 <---- Subtract 12 from 36

6y=24  <---- Divide 6 by 24

y=4

Answer:

Price after off =80-  1/4 * 80 = 80-20 = $60

Coupon discount = 60*10/100 = $6

So, he have to pay, 60-6 = $54

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:

A

Step-by-step explanation:

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. 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

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

A. The rate of the first segment is increasing, second segment is constant, and third segment is decreasing.

B. Marissa's distance from the starting point at the end of her trip is 40 miles.

A graph can be defined as a pictorial representation or a diagram that represents data or values.

The graph below shows Marissa's distance from the starting point of her trip for different segments of time.

A. The rate of the first segment at the interval (0,3) is increasing, the rate of the second segment at the interval (3,7) is constant, and the rate of the third segment at the interval (7,10) is decreasing.

B. Marissa's distance from the starting point at the end of her trip is 40 miles.

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The question seems incomplete, the missing part has been below:

A. Describe each of the three segments of the graph in terms of the rate of change in Marissa's distance from the starting point throughout her tip.

B. What is Marissa's distance from the starting point at the end of her trip?

Answer:

$132.59 is the answer

Answer:

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

Step-by-step explanation:

Answer:

the width is 3

Step-by-step explanation:

Answer:

A) s=32t

B) 224 ft/s

Step-by-step explanation:

A)

In the form (time, speed), the question gives us the following data: (1,32) and (5,160). Since we are told that the relationship between​ time, t, and​ speed, s, is linear, we know the equation will fit the formula y=mx+c, where m is slope c is the y-intercept and y and x are the co-ordinate values. Plug in (1,32) and (5,160) to find the formula:

y=mx+c

s=mt+c

32=1m+c

c=32-m

160=5m+C

160=5m+32-m

128=4m

m=32

c=32-m

=32-32=0

So our equation is s=32t

B)

s=32t

s=32(7)=224 ft/s

Answer:

2/3

Step-by-step explanation:

2*√3/3*√3/3

√3/3*√3/3=1/3

2*1/3=2/3

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.