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Answer:

y = [tex]-\frac{11}{2}[/tex] x + [tex]\frac{159}{2}[/tex]

Step-by-step explanation:

(1, 74)

(3, 63)

m = (63 - 74) / (3 - 1) = [tex]-\frac{11}{2}[/tex]

y - 74 = [tex]-\frac{11}{2}[/tex] (x - 1)

y = [tex]-\frac{11}{2}[/tex] x + [tex]\frac{159}{2}[/tex]

Answer:

200 inches of ribbon

Step-by-step explanation:

if the formula to finding an area is s²

and we already know that the area is 400, so we divide the area by 1/2 to get the length of each side

Answer:

27.27% of the class was absent

Step-by-step explanation

Answer:

36 Kilograms of Dough in 6 hours

Step-by-step explanation:

Each hour Ken prepares 6 kilograms of dough, and every 2 hours Ken prepare 12 kilograms of dough.

Answer:

A, B, and C.

Step-by-step explanation:

We have the equation:

[tex]4(x-3)=4x-12[/tex]

Let’s distribute the left. This yields:

[tex]4x-12=4x-12[/tex]

Let’s add 12 to both sides:

[tex]4x=4x[/tex]

And subtract 4x from both sides:

[tex]0=0[/tex]

We get the true statement 0=0.

Hence, A is correct.

Because it is a true statement, any input will yield an equivalent output.

Hence, B is also correct.

We also have the form a=a, where a is 0.

Hence, C is also correct.

Therefore, our correct answers are A, B, and C.

Answer:

It is a true statement.

Any input will result in an equivalent equation.

It is equivalent to an equation of the form a = a.

Answer:

7.15/65 = 0.11

Answer: each person would get 1.5 pounds of gold

Step-by-step explanation:

12/8= 1.5

Answer:

1.5 pounds of gold

Step-by-step explanation:

You just do 12÷8 which gives you 1.5

Hope this helped!

Answer:

2.94 in

Step-by-step explanation:

Answer:

1. Express the width of the rectangle in terms of the length X.

width = 500 - X

2. Express the surface area of the rectangle in terms of X.

area = -X² + 500X

3. What value of X gives the maximum surface area?

maximum surface area results from the rectangle being a square, so 1,000 ÷ 4 = 250

X = 250 ft

4. What is the maximum surface area?

maximum surface area = X² = 250² = 62,500 ft²

Step-by-step explanation:

since the perimeter = 1,000

1,000 = 2X + 2W

500 = X + W

W = 500 - X

area = X · W = X · (500 - X) = 500X - X² or -X² + 500X

The area of a shape is the amount of space it occupies.

The length is represented as x.

Let the width be y.

So, we have:

[tex]\mathbf{Perimeter =2(x + y)}[/tex]

This gives

[tex]\mathbf{2(x + y) = 1000}[/tex]

Divide both sides by 2

[tex]\mathbf{x + y = 500}[/tex]

Make y the subject

[tex]\mathbf{y = 500 -x}[/tex]

So, the width in terms of x is 500 - x

The surface area is calculated as:

[tex]\mathbf{A = xy}[/tex]

Substitute [tex]\mathbf{y = 500 -x}[/tex]

[tex]\mathbf{A = x(500 - x)}[/tex]

So, the surface area in terms of x is x(500 - x)

Expand [tex]\mathbf{A = x(500 - x)}[/tex]

[tex]\mathbf{A = 500x - x^2}[/tex]

Differentiate

[tex]\mathbf{A' = 500- 2x}[/tex]

Equate to 0

[tex]\mathbf{500- 2x = 0}[/tex]

Rewrite as:

[tex]\mathbf{2x = 500}[/tex]

Divide both sides by 2

[tex]\mathbf{x = 250}[/tex]

So, the value of x that gives maximum surface area is 250

Substitute 250 for x in [tex]\mathbf{A = x(500 - x)}[/tex]

[tex]\mathbf{A = 250 \times (500 - 250)}[/tex]

[tex]\mathbf{A = 250 \times 250}[/tex]

[tex]\mathbf{A = 62500}[/tex]

Hence, the maximum area is 62500

Read more about areas at:

https://brainly.com/question/11906003

Answer: Choice C) AAS

Nice work on getting the correct answer.

=======================================================

Explanation:

We're given that angle A = angle C. This is shown in green in the diagram below.

AB || DC so we can show that angle ABD = angle CDB by the alternate interior angle theorem. This is shown in red.

Finally, we know that BD = BD which is marked in blue.

Note how the blue segment is not between the red and green angle for any of the two triangles. So we use AAS instead of ASA. The order is important.

Answer:

20%

Step-by-step explanation:

i don't know if this it what you want bc there isn't enough info. 12+48=60

12/60=1/5

1/5=.2

.2=20%

Answer:

x+6<20

x<14

Step-by-step explanation:

Answer:

20-6+x

Step-by-step explanation:

you would add six and x and then subtract it from twenty becouse less than means to subract

Answer:

The price elasticity of demand is calculated as the percentage change in quantity divided by the percentage change in price.

Answer:

C=84∘, a=2, c=7

Step-by-step explanation:

Answer:

Sorry, but i need to do my homework as well. The answer is: a=4, b=2, c=82

Answer:

A

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 ) = (- 3, 8) and (x₂, y₂ ) = (0, 10) ← 2 ordered pairs from the table

m = [tex]\frac{10-8}{0+3}[/tex] = [tex]\frac{2}{3}[/tex] → A

Answer:

first we have divide

8x/2x their power going to sub 3-9

4xpower-6

we have to keep than 1/4power sign going to plus

1/4 power 6

Answer:

[tex]6p+4q=r\\\\4q = r-6p[/tex]

[tex]q = \frac{r}{4} -\frac{6}{4}p \\\\q = \frac{r}{4} -\frac{3}{2}p[/tex]

Answer:

it is not the same

Step-by-step explanation:

16x4=64 & 48x8=394

Answer:

The probability that the device fails during its first hour of operation is 0.625.

Step-by-step explanation:

The joint density function of the lifetimes of the two components, both measured in hours, is:

[tex]f(x,y)=\frac{x+y}{8};\ 0<x<2,\ 0<y<2[/tex]

Compute the probability that the device fails during its first hour of operation as follows:

[tex]P[(X<1)\cup (Y<1)]=1-\int\limits^{2}_{1} {\int\limits^{2}_{1} {\frac{x+y}{8}} \, dx } \, dy[/tex]

                                  [tex]=1-\int\limits^{2}_{1} {\frac{x^{2}+2xy}{16}}|^{2}_{1} \, dy\\\\=1- \int\limits^{2}_{1}[{\frac{4+4y}{16}-\frac{1+2y}{16}}] \, dy\\\\=1-\int\limits^{2}_{1}{\frac{3+2y}{16}}\, dy\\\\=1-[\frac{3y+y^{2}}{16}]^{2}_{1}\\\\=1-0.375\\\\=0.625[/tex]

Thus, the probability that the device fails during its first hour of operation is 0.625.

Answer:

A

Step-by-step explanation: 20 x 3.28 is 65.6 round it up its 66

Answer:

Often pay a lower interest rate during the first few years

Step-by-step explanation:

Option c on edge. 2020

Answer:

C

Step-by-step explanation:

Answer:

88.9

Step-by-step explanation:

Answer:

Answer below

Step-by-step explanation:

4(x−1)

​2

​​ =10−2

4(x−1)

​2

​​ =8

(x−1)

​2

​​ =

​4

​

​8

​​

(x−1)

​2

​​ =2

x −1=±√

​2

x−1=√

​2

​

​​

x-1=-\sqrt{2}x−1=−√

​2

​

​​

x=√

​2

​

​​ +1

x=−√

​2

​

​​ +1

x=√

​2

​

​​ +1,−√

​2

​

​​ +1

Answer:

x = -2/3 and -1

Step-by-step explanation:

3x²+5x+2 = 0

3x²+3x+2x+2=0

3x(x+1) + 2(x+1) =0

(3x + 2) (x + 1) = 0

x = -2/3 and -1

Answer:

Exact form:

x = - 2/3, -1

Decimal Form:

x = -0.6repeated, -1

Step-by-step explanation:

Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

Answer:

diameter ÷ 2 = 8 ÷ 2 = 4

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

The answer is 9. You can figure it out by counting up from 8!