What is the prime factorization of 135?
32x52
3x5x9
3x53
0335

Answer:

27 calories per ounce

Step-by-step explanation:

just divide 135 by 5

Answer:

44/3

Step-by-step explanation:

Let A be the line joining the vertices (0, 1) and (1,2) while B be the equation of the line joining (1, 2) and (4, 1).

The equation of a line joining points [tex](x_1,y_1) \ and\ (x_2,y_2)\ is:\\\\[/tex]

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)[/tex]

The equation of line A joining (0, 1) and (1,2) is:

[tex]y-1=\frac{2-1}{1-0} (x-0)\\\\y-1=x\\\\x=y-1[/tex]

The equation of line D joining (1, 2) and (4,1) is:

[tex]y-2=\frac{1-2}{4-1} (x-1)\\\\y-2=-\frac{1}{3} (x-1)\\\\3y-6=-x+1\\\\x=-3y+7[/tex]

Therefore the change in y is: 1 ≤ y ≤ 2, while change in x is: y-1 ≤ x ≤ -3y + 7. Hence the double integral is:

[tex]\int\limits^2_1\int\limits^{-3y+7}_{y-1} {4y^2} \, dx dy\\\\=4\int\limits^2_1\int\limits^{-3y+7}_{y-1} {y^2} \, dx dy\\\\=4\int\limits^2_1y^2dy[x]^{-3y+7}_{y-1} \\\\=4\int\limits^2_1y^2dy(-3y+7-(y-1))\\\\=4\int\limits^2_1y^2dy(-4y+8)\\\\=4\int\limits^2_1(-4y^3+8y^2)dy\\\\=4[-y^4+\frac{8}{3}y^3 ]^2_1\\\\=4(\frac{11}{3} )\\\\=\frac{44}{3 }[/tex]

To answer this question, we need, first get the equations for the lines that enclosed the surface, and integrate according to the limits obtained from these equations give.

The solution is:

A = 44/3 square units  

Let´s call points:

P ( 0 , 1 )    Q ( 1 , 2 ) and R ( 4 , 1 )

The equation for the line between, P and R is:

y = 1

The equation for the line between, P and Q is:

Slope-intercept equation is  y = m×x + b

The slope   m₁ = ( 2 - 1 ) / ( 1 - 0 )    m₁ = 1

and the line passes over the point  x = 0  y = 1   ; then

1 = 0 +b           b = 1

y = x + 1            ⇒    x = y - 1  

The equation  for the line between Q and R is:

m₂ = ( 1 - 2 ) / ( 4 - 1)    m₂ = - 1/3

y = ( -1/3)× x + b

when x = 1    y = 2

2 = ( - 1/3)×(1) + b

2 + 1/3 = b

b = 7/3

y = - (x/3) + 7/3           ⇒  x = 7 - 3×y

The double  integral becomes:

A = 4×∫∫ y² dx dy          ⇒   A = 4 ×∫₁² y²dy ∫dx  | (y - 1 ) y ( 7 - 3y)

A = 4×∫₁² y²dy  × x |  ( y - 1 ) y ( 7 - 3y)

A = 4 ×∫₁² y²dy  × [ 7 - 3×y - ( y - 1 )]

A = 4 ×∫₁² y²dy  × (8 - 4×y )      ⇒     A = 4 ×∫₁² (8×y² - 4×y³ ) dy

A = 4 × [ (8/3)×y³ - y⁴ | ₁²

A = 4 × [ 64/3 - 16 - (8/3) + 1 ]

A = 4  × ( 56/3 - 15 )

A = 4  × ( 56 - 45 /3)

A = 4 × 11/3

A = 44/3 square units

Related Link :brainly.com/question/9825328

Answer:

∆STR~∆RTQ is correct I am pretty sure

Answer:

Option four

Str ~ rtq

Step-by-step explanation:

Answer:

3x^2-8x+9

Step-by-step explanation:

11x2+9−2x−8x2−6x

Subtract 8x2 from 11x2.

3x2+9−2x−6x

Subtract 6x from −2x.

3x2+9−8x

Move 9.

3x^2−8x+9

Hope this helps! :) Plz mark as brainliest

11x2+9−2x−8x2−6x

Subtract 8x2 from 11x2.

3x2+9−2x−6x

Subtract 6x from −2x.

3x2+9−8x

Move 9.

3x^2−8x+9

Answer:

Yard, foot, inch

Answer:

metres

Step-by-step explanation:

length is distance from one point to another an according to the standard units which are the same all along the world the length should be measured in metres

Answer:

repair charge = 53 * hours of labor + 408.97

Step-by-step explanation:

I got this right on TTM/ Imagine Math :)

Answer:

$1,025

Step-by-step explanation:

(205000)(.015)/3  =  1025

James will receive or earn $1,025

Answer:

line 3 and 4 I believe

Step-by-step explanation:

Look at the bootom numbers. Look at the one and follow it up, the only lines that are not over two and are still above one are lines 3 and 4.

Answer:

Lines 3 and 4

Step-by-step explanation:

A slope is rise over run. So you have to determine how many you rise (go up) and run (go over). This is represented in a fraction form (such as 1/2 is up 1 and over 2). A slope greater than one would be 1/1 (go up more than one and over more than 1), and less than two (go up less than 2 and over less than 1).

Line 1 goes up 3 and over 1 (3/1 = a slope of 3)

Line 2 goes up 2 and over 1 (2/1= a slope of 2)

Line 3 goes up 3 and over 2 (3/2 = a slope of 1.5 )

Line 4 goes up slightly more than 1 and slight over 1

Line 5 goes up 1 and over 1 (1/1 = a slope of 1)

Answer:

D

Step-by-step explanation:

This follows PEMDAS

This first thing to do is add 8, so this must be P aka parentheses.

A and B are eliminated

Next is to M aka mutiply by 1/2

This eliminates C because if -6 was in the parentheses this would mean it is the next step as () takes priority. And this is not the case

I hope Im correct!

Answer:

Answer:8x3=24

Step-by-step explanation:

8 across the x axis and

3 across the y axis

8x3=24

Answer:

x=-15/4 or -3.75

Step-by-step explanation:

17=−13−8x

30=-8x

x=30/-8 --> -15/4 or -3.75

Answer:

0.5

Step-by-step explanation:

It's simple really,

What you do is first add -13 from 17 and you get 4

17+-13=4

then you divide by 8 and you get 0.5.

4(divided by)8=0.5

Hope that helps you!

(If that's not the answer then do -0.5)

Answer:

1,333/100

Step-by-step explanation:

The reason is because a fraction can be divided. A fraction is out of a hundred. 13 by itself is equal to 1300/1000 by itself.

Answer:

A.  ap3x quiz!

Step-by-step explanation:

Answer:

46

Step-by-step explanation:

46 I believe. I think it's 46. Don't count the units on the corners

Answer:

You need to sell 6 gloves

Step-by-step explanation:

If you sell 5 gloves you will get 25$ because 5x5 is 25. So you need to sell 6 gloves in order to make a profit.

Answer:

a number divided by x so 2/x 3/x 4/x 5/x

Step-by-step explanation:

Answer:

the diagonal of the rectangle is 5

Step-by-step explanation:

[tex]c=\sqrt{a^{2} +b^{2} }[/tex]

[tex]c=\sqrt{3^{2} +4^{2} }[/tex]

[tex]c=\sqrt{9+16}[/tex]

[tex]c=\sqrt{25}[/tex]

[tex]c=5[/tex]

Answer:

when you will give us 100 points we will be giving your answers okay dear

Answer:

A

Step-by-step explanation:

Price per ticket

Answer:

Its 9^-9

Step-by-step explanation

Because 9^-3 is on top, you have to take it to the bottom - this makes it positive. Now you have 1/(9^3*9^6). This give you 1/9^9 - or in other words 9^-9

Answer c

Step-by-step explanation: i took the test and got them all right

Answer:

Linear

Step-by-step explanation:

If its linear it fits into the y=mx+b, and this on does so its linear

Answer:

Ethical monotheism is a form of exclusive monotheism in which God is the source for one standard of morality, who guides humanity through ethical principles.

Step-by-step explanation:

Answer:

481

Step-by-step explanation:

Answer: J (y=3x-2)

Step-by-step explanation: In perpendicular equations, opposite reciprocals are required. This means that a slope of 3 is perpendicular to -1/3, thusly J is corret

Answer:

The cost can be written as:

C(x) = $1.4*x

The revenue can be written as:

R(x) = $700 - $400*e^(-x/100)

And as you know, the profit is written as the difference between the revenue and the cost:

P(x) = R(x) - C(x)

P(x) =  $700 - $400*e^(-x/100) - $1.4*x

Now we want to maximize this, then we must look at the zeros in the derivate of P(x)

dP/dx = P'(x) = (-1/100)*$400*e^(-x/100) - $1.4

The maximum will be when P'(x) = 0.

we can solve:

0 = (-1/100)*$400*e^(-x/100) - $1.4

$1.4 = (-1/100)*$400*e^(-x/100)

(-100)*$1.4 = $400*e^(-x/100)

$140 = $400*e^(-x/100)

($140/$400) = e^(-x/100)

0.35 = e^(-x/100)

Now we can apply the Ln() in both sides and get:

ln(0.35) = ln(e^(-x/100) ) = -x/100

-ln(0.35)*100 = x = 104.98

You should apply 104.90 pounds of fertilizer.

b) The profit per acre, is:

P(x) = $700 - $400*e^(-x/100) - $1.4*x

Then if you have 200 acres, the profit will be:

200*P(x) = 200*($700 - $400*e^(-x/100) - $1.4*x)

and the maximum profit is whit x = 104.98 pounds, then:

200*P(104.98) = 200*($700 - $400*e^(-104.98/100) - $1.4*104.98) = $82,604.98