What is the factored form of 8x2 + 12x?

Answer:

1.92 yd  x 3.83 yd  x 2.58 yd

Step-by-step explanation:

We have given a rectangular base, that its twice as long as it is wide.

It must hold 19 yd³ of debris.

Lets minimize the surface area, subject to the restriction of volume (19 yd³)

The surface is given by:

[tex]S=2(w*h+w*2w+2wh)=2(3wh+2w^2)[/tex]

The volume restriction is:

[tex]V=w*2w*h=2w^2h=19\\\\h=\frac{9.5}{w^2}[/tex]

replacing h in the surface equation, we have:

[tex]S=2(3wh+2w^2)=6w(\frac{9.5}{w^2})+4w^2=57w^{-1}+4w^2[/tex]

Derivate the above equation and set it to zero

[tex]dS/dw=57(-1)w^{-2} + 8w=0\\\\57w^{-2}=8w\\\\w^3=57/8=7.125\\\\w=\sqrt[3]{7.124} =1.92[/tex]

The height will be:

[tex]h=9.5/w^2=9.5/(1.92^2)=9.5/2.69=2.58[/tex]

Therefore,The dimensions that minimize the surface are:

Wide: 1.92 yd  

Long: 3.83 yd

Height: 2.58 yd

Answer: 9/12 equals 0.75 so 75 percent is the answer.

Step-by-step explanation:

Answer:

y = x + 4

Step-by-step explanation:

I have attached the work to your problem below.

Please see the attachment.

I hope this helps.

Answer:

y = x + 4

Step-by-step explanation:

I took the lesson and got it correct

Answer:

-1

Step-by-step explanation:

x+4/4 = 9/12

If you plug in -1, then 3/4=9/12.

This is a true proportion.

Hope this helps!!! PLZ MARK BRAINLIEST!!!

Step-by-step explanation: For edge2020 it is C graph.

Answer:

B should be the correct answer

Step-by-step explanation:

don't quote me on that

Answer:

$ 4,986.18

Step-by-step explanation:

A = $ 4,986.18

A = P + I where

P (principal) = $ 4,610.00

I (interest) = $ 376.18

Answer: 23.8

Step-by-step explanation:

Since sine= opp/hyp we can use the given info to establish

sin39=15/x

x=23.8

Answer:

d) x≈23.8

Step-by-step explanation:

sin 39 = 15/x multiply by x each side

x sin 39 = 15 divide by sin39

x = 15/sin 39

x = 23.84

x≈23.8

Answer:

This has one solution

Step-by-step explanation:

5x+8-7x=-4x+1

Combine like terms

-2x+8 = -4x+1

Add 4x to each side

-2x+4x+8 = -4x+4x+1

2x+8 = 1

Subtract 8 from each side

2x+8-8=1-8

2x = -7

Divide by 2

2x/2 = -7/2

x = -7/2

Answer:

One solution

Step-by-step explanation:

did it on khan:)

Answer:

C.)  The ball was thrown from a height of 3 feet

Step-by-step explanation:

In the standard form of a quadratic function, f(x) = ax² + bx + c,

c is the constant term (also known as the y-intercept of the parabola)

In this situation, the ball is thrown up into the air and the flight path will be in the shape of a parabola

The equation y = -16t² + 40t + 3 has a y-intercept of 3, meaning the flight path began at 3 feet above the ground, as you can imagine by looking at the graph of the equation, below.  The y-intercept is at (0,3)

Answer:

number of red tags = 200 - 70 - 38 = 92

Step-by-step explanation:

Jordan has a total of 200 name tag and the tags have different varieties of colors. The tags have blue, yellow and red color . Let us find the number of blue  tags

number of blue tags = 35% of 200

number of blue tags = 35/100 × 200

number of blue tags = 70

The number of yellow tags = 38

The remaining number of tags are red color. Therefore the number of red tag will be the total number of tag minus the number of blue tags and the number of yellow tags.

number of red tags = 200 - 70 - 38 = 92

Answer:

i think its c

Step-by-step explanation:

Answer:

The answer is C. 5a² - 4a + 1

First you want to Distribute the Negative Sign:

= 10a² + 3 − 5a + −1 (2 + 5a² − a)

= 10a² + 3 + −5a + (−1) (2) + −1 (5a²) + −1 (−a)

= 10a² + 3 + −5a + −2 + −5a² + a

Add Like Terms:

= 10a² + 3 + −5a + −2 + −5a² + a

= (10a² + −5a²) + (−5a + a )+( 3+ −2)

= 5a² + −4a + 1

Answer:green area- triangle area = 72-9 = 63

Step-by-step explanation:

Answer:

592 sq. ft.

Step-by-step explanation

area of front and back=2[12×6]+2[1/2×12×8]=144+96=240 ft²

side area=2[(6+10)×11]=2×176=352 ft²

Total surface area=240+352=592 square feet.

Answer:

Step-by-step explanation:

32.5 is 1/10 of blank

Is means =. Of means multiply. So, 32.5=1/10*X

Answer:

32.5 is [tex]\frac{1}{10}[/tex] of 325

Step-by-step explanation:

325 ÷ 10 = 32.5

Answer:

Step-by-step explanation:first u need to buy then break it into half with ur friend then ur friend will get all and u will only get one but u will be lonely if u don’t tell ur friend to give u

Answer:

10

Step-by-step explanation:

Subtract -4 from 6

6 - -4

Subtracting a negative is like adding

6 +4

10

Answer:

-10

Step-by-step explanation:

If you subtract 6-(-4) it gives you -10

Hope this helps

Answer:

I'm glad you asked!

Step-by-step explanation:

Step 1:Order the numbers from least to greatest.

[tex]22,37,41,48,52,54,65,71,71,81[/tex]

Step 2:Now find the middle number.

[tex]22,37,41,48[/tex],52,54[tex],65,71,71,81[/tex]

Step 3:Since there are two numbers,we add them together then divide by 2.

[tex]52+54 =106[/tex]

[tex]106/2=53[/tex]

The median is 53.

Answer:

53

Step-by-step explanation:

Answer:

Height of the mountain was 28331.8 feet.

Step-by-step explanation:

An observer took the measurements from two sights C and D.

Point D was 1000 ft away from the earlier sight point C.

Angle of elevations from points C and D were 85° and 83° respectively.

From ΔABC,

tan85 = [tex]\frac{h}{x}[/tex]

x = [tex]\frac{h}{tan85}[/tex] -----(1)

Similarly, from ΔABD,

tan83 = [tex]\frac{h}{(x+1000)}[/tex]

x + 1000 = [tex]\frac{h}{tan83}[/tex]

x = [tex]\frac{h}{tan83}-1000[/tex] -----(2)

Now we substitute the value of x from equation (1) in the equation (2)

[tex]\frac{h}{tan85}=\frac{h}{tan83}-1000[/tex]

0.122785h - 0.087488h = 1000

0.035296h = 1000

h = 28331.822 ft

h ≈ 28331.8 ft

Therefore, height of the mountain was 28331.8 feet.

6√5 - 4√3-

i took the test but sorry if its wrong

Answer:

3 + 5 +4 = 12

3/12

= 1/4

Step-by-step explanation:

1. add the marbles together

2. divide the number of marbles drawn out by the total number of marbles.

try 22

Step-by-step explanation: Maybe it could work, hope it. helps,

Khan?

Answer:

24 centimetre

hope it is helpful

Answer:

B: DCE=D'C'E'

I hoped this helped you!

The required Triangle DCE is congruent to triangle D'C'E'. Option B is correct.

In geometry, two figures are congruent if they have the same shape and size, and all their corresponding parts (sides, angles, and vertices) are congruent. Congruent figures can be moved, rotated, or reflected without changing their shape or size.

Here,
Triangle DCE is congruent to triangle D'C'E'.

This is because a translation is a type of transformation that preserves the shape and size of the original figure, so the two triangles are congruent with each other.

Thus, the required Triangle DCE is congruent to triangle D'C'E'. Option B is correct.

Learn more about congruent geometry here. https://brainly.com/question/12413243

#SPJ7

Answer:

Cost of the tires in 2008 = 23333 dollars

Step-by-step explanation:

Number of snow tires purchased are represented by,

T = [tex]\frac{500(t+20)}{(t+75)}[/tex]

Where t = duration from year 2000

Similarly, cost of the tires area represented by,

C = [tex]\frac{t+75}{1-.05t}[/tex]

Therefore, cost of T tires = C × T

= [tex]\frac{t+75}{1-.05t}[/tex] × [tex]\frac{500(t+20)}{(t+75)}[/tex]

= [tex]\frac{500(t+20)}{1-0.05t}[/tex]

Now cost of the tires in year 2008 (t = 8 years)

Total cost = [tex]\frac{500(8+20)}{(1-0.05\times 8)}[/tex]

                 = [tex]\frac{14000}{0.6}[/tex]            

                 = $23333.3

                 ≈ 23333 dollars

Answer:

Bryan spent $45 on flowers. The last sentence isn't needed to answer this question.

Step-by-step explanation:

If you multiply 10 by 2, then 5 by 5, and add it at the end you get 45.

Answer:

minutes

Step-by-step explanation:

Answer:

height = 2.5 units

Step-by-step explanation:

The volume of a rectangular prism is given by the product of its base area and its height. If the area of the base is 28 square units and the volume is 70 cubic units, we can find the height as follows:

Volume = base area * height

70 = 28 * height

height = 70 / 28

height = 2.5 units

The height of the rectangular prism is 2.5 units.

Answer: B

Step-by-step explanation:

[tex]\frac{2}{7k}(k-7)[/tex]

[tex]\frac{2k-14}{7k}[/tex]

[tex]\frac{2k}{7k}-\frac{14}{7k}[/tex]

[tex]\frac{2}{7}-\frac{2}{k}[/tex]

Answer:

go FORWARD 3 places

Step-by-step explanation: