If y = 5x − 4, which of the following sets represents possible inputs and outputs of the function represented as ordered pairs?

Matt have 2 cookies, while christine have 2 more than matt how many cookies will they have if the add them altogethe?.

mojhsa [17]

Answer:

6 cookies

____________________

Christine has 2 MORE than Matt.

2 + 2 = 4(Christine)

4 + 2 = 6(total)

5 0

2 years ago

Read 2 more answers

Do I need to put parentheses in this? Why it why not?

Oksana_A [137]

Answer:

Parentheses can change the result of the answer. If you want to add 4 and 0.95 first, then multiply that number by 3, then you need parentheses.

Step-by-step explanation:

When you are given the question 3 X 4 + 0.95, it has to types of operations. People solve using the order PEDMAS:

Parentheses,

Exponents,

Division and Multiplication,

Addition and Subtraction.

Since there are no parentheses or exponents, the solver will do multiplication first, then addition.

3 X 4 + 0.95 Multiply first

= 12 + 0.95 Now add

= 12.95 Answer without parentheses

If you add parentheses around 4 + 0.95, the answer would change. According to PEDMAS, the parentheses must be solved before anything else.

3 X (4 + 0.95) Add inside parentheses

= 3 X (4.95) Now multiply

= 14.85 Answer with parentheses

If you added parentheses around 3 X 4, the answer would not change, because you still multiply first.

(3 X 4) + 0.95 Solving parentheses first

= 12 + 0.95 Add

= 12.95 Answer same as original

3 0

2 years ago

If i have a forest composed of 25 species of trees, each with a known abundances, how many events are there in the sample space

Vsevolod [243]

There are 25 species of trees, each with a known abundances. The question is how many possible ways to randomly select one tree there are.
We should calculate the number of combinations. Combinations, because we select item/s from a collection. In this case, when we select only one item, the combination is also a permutation. From set of n objects we select r. In our case: n=25, r=1.
The equation is: n!/r!(n-r)!= 25!/1!*24!=25*24!/24!=25
There are 25 different outcomes (events).

3 0

3 years ago

There are two buildings that you want to have in the amusement park, but the size hasn’t been determined yet. Although you don’t

Harrizon [31]

A) The area of a rectangle is A = lw, where l=length of the rectangle and w=width of the rectangle. You know the length of the gift shop, l = 20x + 24. You know the width, w = 36x - 20. Plug those expressions into the equation for area of a rectangle and multiply/foil:
$A = lw\\
A = (20x + 24)(36x - 20)\\
A = (20x)(36x) + (20x)(-20) + (24)(36x) + (24)(-20)\\
A = 720x^{2} - 400x + 864x - 480\\
A = 720x^{2} + 464x - 480$

The expression for the area of the gift shop is $720x^{2} + 464x - 480$ .

B) The equation for the perimeter of the gift shop is P = 2(l+w), where l = length and w = width. Plug your values for l and w into this equation:
$P = 2(l+w)\\
P = 2(20x + 24 + 36x - 20)\\
P = 2(56x + 4) = 2(56x) + 2(4)\\
P = 112x + 8$

The expression for the perimeter of the gift shop is 112x + 8

C) Since you know the perimeter is going to be 176 ft, that means P = 176. Plug that into the equation you found in part B, P = 112x + 8, and solve for x.
$P = 112x + 8\\
176 = 112x + 8\\
112x = 168
x = 1.5$

Once you solve for x, you can plug x into your equations for width and length to find the dimensions. x = 1.5, so:
1) Length = 20x+24 feet
Length = 20(1.5) + 24 feet = 54 feet
2) Width = 36x-20 feet
Width = 36(1.5)-20 feet = 34 feet

Your dimensions are 54 feet (length) by 34 feet (width).

3 0

3 years ago

Θ lies in Quadrant II . sinθ=47sinθ=47 What is the exact value of cosθ in simplified form?

Pepsi [2]

I am assuming you mean 4/7 as the sine or cosine cannot be higher than 1.

Lets find θ,

θ = [sin-1](4/7) = 34.85 °

But lets take into account that this value is the equivalent in Quadrant I.

If Θ lies in Quadrant II , then θ = 180 ° - 34.85 ° = 145.15 °

So cosθ = cos (145.15) = -0.821

4 0

3 years ago