Draw a line representing the "rise" and a line representing the "run" of the line. State
the slope of the line in simplest form.

Answer:

Step-by-step explanation:

Given that:

the perimeter of the fencing (rectangle)  = 200

Let recall that the area equation of a rectangle = L × w

The perimeter now = 2(L + w)

The perimeter = 2L + 2w

∴

200 = 2L +2w

Dividing both sides by 2

100 = L + w

Making Length L the subject; we have:

- L = -100 + w

L = 100 - w

Thus;

A(w) = (100 - w) w

and the domain of the function is (0,100)

Answer:

B It shows that when 0 canisters of helium are used, 0 balloons are created

Step-by-step explanation:

from the graph, we can see that point (0,0) means that when the number of canisters of helium used is 0, then the number of balloons created is also 0

the closest answer to this observation is:

B It shows that when 0 canisters of helium are used, 0 balloons are created

Answer:

To find out the first three terms of 3n - 2 substitute 1 ,2 and 3 into the equation.

so the three terms a

 3(1)-2=1

3(2)-2=6-2=4

3(3)-2=9-2=7

As you can see the sequence goes up in 1,4 and 7.To find out the 10th term you also substitute 10 into the equation so 3(9)-2=18-2=16

so 16 is the tenth term

Hope this helped!

Answer:

The domain of a function is the set of all possible inputs for the function.

Step-by-step explanation:the domain of f(x)=x² is all real numbers, and the domain of g(x)=1/x is all real numbers except for x=0.

Hey there!

[tex](x+y+z)(x-z)^2[/tex]

Simplify.

[tex]x^2y-2xyz+yz^2+x^3-x^2z-xz^2+z^3(ANSWER)[/tex]

Hope this helps!

[tex]\text {-TestedHyperr}[/tex]

Step-by-step explanation:

x³+yx²+zx²-2x²z-2xzy-2xz²+x²z-z²y+z³

Answer:

I really don't know but I'm trying to hurry for my quiz lol sorry

Answer:

cxcxcxcxcxgergddgg

Step-by-step explanation:

Answer: same bruh

Step-by-step explanation:

Answer:

(3,-3) or x = 3

Step-by-step explanation:

I solved this problem with the help of graphing, you would start by sketching each equation. The x-value of the point where both equations intersect would be solution to your equations.

Step-by-step explanation:

Hey there!!

Here, According to the question;

Let one number be x then another number will be x+37. (as one number is 37 more than other number. )

Now,

Their sum is 91.

It would be like;

[tex]x + (x + 37) = 37[/tex]

[tex]2x + 37 = 91[/tex]

[tex]2x = 91 - 37[/tex]

[tex]x = \frac{54}{2} [/tex]

Therefore the value of x is 27.

So, one number is 27 and another number is 64.

Hope it helps....

sometimes whole numbers

Step-by-step explanation:

maybe

Answer:

5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Step 1:

45 ÷ 9

Answer:

5

Hope This Helps :)

Answer:

The first 3 is in the thousandths place. it is worth 3 thousand. The second 3 is in the tenths place. It is worth 30.

Answer: 3,435

Least place value to largest largest place value-

5-ones place

3-tens place

4-hundreds place

3-thousands place

I hope that worked!

Answer:

81

Step-by-step explanation:

3 ^4 =3 ×3 ×3 ×3 =81

Answer:

-1/2y +3

Step-by-step explanation:

2/5y -4 + 7 -9/10y=

combine like terms

-1/2y +3

Answer:

for x = −11y/16+ 21/16

for y = 16x/11 +21/11

Step-by-step explanation:

Answer:

8 2/5 inches!

Step-by-step explanation:

The lighthouse is 120 feet, and 4 inches of height on the model equals 50 feet of height on the lighthouse. 100 divided by 50 = 2, and 4 multiplied by 2 is 8. 20 divided by 50 = 2/5, so the answer is 8 2/5 inches. :)

Answer:

1.45

Step-by-step explanation:

not sure but trying to help :)

Answer:

c. 84 ft²

Step-by-step explanation:

lateral area = 1/2 * base perimeter * height

where

base sides = 6 ft.

height (L) = 7

lateral area = 1/2 x (4*6) * 7

lateral area = 84 ft²

LA = 1/2pl

p = base perimeter

l = length

p = (6 * 4)

p = 24

l = 7

Use the formula and solve.

LA = 1/2(24)(7)

LA = 1/2(168)

LA = 84

Therefore, the answer is C

Best of Luck!

Answer:

The answer is: d-5x

Step-by-step explanation:

What I like to do is rewrite the problem with numbers instead of variables.

Example: Warren had 20 dollars. He bought 5 ice creams which cost 2 dollars each. How much money does he have left?

He has 20 dollars, 5x2=10 he spent 10$ on the ice cream so you have to subtract how much he had in the beginning to how much he spent, the answer with numbers would be: 20-5x2

With variables it would be d-5x

Answer: If interest is not given, it would be 25,000+ interest as your answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

5 - 2y = - 8

Subtract 5 from both sides

-2y = - 8 - 5

-2y = - 13  

Divide by - 2

-2y/-2 = - 13/-2

y = 6 1/2 or 6.5

Answer:

A car is traveling down a highway at a constant speed, described by the equation d = 65t, where d represents the distance, in miles, that the car travels - 1138… ... How many miles does it take the car to travel 26 miles at this speed? c. ... the distance, in miles, that the car travels at this speed in t hours.

Step-by-step explanation:

Hope this helps

Answer:

1/4

Step-by-step explanation:

Answer:

x=48/8=6

Step-by-step explanation:

simple form

8x-48=0

fractionized

8(x-6)=0

I suppose you're asking about the inverse Laplace transform of

[tex]F(s)=\dfrac4{(s-3)(s-2)}[/tex]

by way of the convolution theorem.

The theorem itself says that

[tex]\mathscr L^{-1}\{A(s)B(s)\}=(a*b)(t)[/tex]

where [tex]A(s)[/tex] and [tex]B(s)[/tex] are the Laplace transforms of [tex]a(t)[/tex] and [tex]b(t)[/tex], respectively.

Let [tex]A(s)=\frac1{s-3}[/tex] and [tex]B(s)=\frac1{s-2}[/tex]. Then

[tex]a(t)=\mathscr L^{-1}\left\{\dfrac1{s-3}\right\}=e^{3t}[/tex]

[tex]b(t)=\mathscr L^{-1}\left\{\dfrac1{s-2}\right\}=e^{2t}[/tex]

So we have

[tex]\mathscr L^{-1}\left\{\dfrac4{(s-3)(s-2)}\right\}=e^{3t}*e^{2t}[/tex]

Convolution is defined as

[tex](a*b)(t)=\displaystyle\int_0^t a(t-\tau)b(\tau)\,\mathrm d\tau[/tex]

The convolution of [tex]e^{3t}[/tex] and [tex]e^{2t}[/tex] is

[tex]e^{3t}*e^{2t}=\displaystyle\int_0^t e^{3(t-\tau)}e^{2\tau}\,\mathrm d\tau[/tex]

[tex]=\displaystyle e^{3t} \int_0^t e^{-\tau}\,\mathrm d\tau[/tex]

[tex]=e^{3t}(1-e^{-t})=e^{3t}-e^{2t}[/tex]

We end up with

[tex]\mathscr L^{-1}\left\{\dfrac4{(s-3)(s-2)}\right\}=\boxed{4(e^{3t}-e^{2t})}[/tex]

Answer:

Step-by-step explanation:

1. Area of a parallelogram = base * height

 area = 10 * 4 = 40 in squared

perimeter = 2(a + b)

perimeter = 2 * (5 + 10) = 2 * 15 = 30in

2. Area of triangle = 1/2 * base * height

area = 1/2 * 21 * 8 = 84 cm squared

perimeter = sum of outer perimeters

perimeter= 10cm + 17cm + 21cm = 48cm

3.  area of trapezium = 1/2 * (a+b) * h

 area = 1/2 * (6+12) * 4 = 36ft squared

 perimeter = sum of outer perimeters

 perimeter = 5ft + 6ft + 12ft + 5ft = 28ft