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77julia77 [94]
3 years ago
8

A(n) _____ is a testable statement about a relationship between two variables.

Mathematics
1 answer:
Monica [59]3 years ago
6 0

Answer:

d. hypothesis

Step-by-step explanation:

According to all the scientific studies that are created or developed every day, Scientists call what is described in the question a "hypothesis". This is defined as a proposed explanation for a specific phenomenon. The hypothesis is the base for creating a testable experiment that proves the relationship between two variables.

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

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Points B, D, and F are midpoints of the sides of ΔACE.
Ainat [17]

Answer:

C

Step-by-step explanation:

D to c = 15, DtoB =17 so Cto B= 17

and A to C =34

8 0
3 years ago
A line is represented by the equation 2x + 3y = 15. What is another way to represent the same line, for solving Y ? Help is need
Lady bird [3.3K]

The another way to represent the same line, for solving y will be:  y= 5-\frac{2}{3}x

<u><em>Explanation</em></u>

Given equation of the line is:  2x+3y=15

"Solving y" means <u>we need to get</u> y <u>alone in left side.</u> So, we will eliminate all other terms except y from the left side.

First we will <u>subtract 2x </u>from both sides. So, we will get......

2x+3y-2x=15-2x\\ \\ 3y=15-2x

Now, we will <u>divide both sides by 3</u> for getting y alone. So.....

\frac{3y}{3}= \frac{15-2x}{3}\\ \\ y= 5-\frac{2}{3}x

Thus, the another way to represent the same line, for solving y will be:  y= 5-\frac{2}{3}x

7 0
4 years ago
The operation * on the set Z of integers is defined by x*y = 3x + 2y - 1, x, y E Z. Find the value of x such that x*2=5​
Assoli18 [71]

Answer:

x = 2/3

Step-by-step explanation:

Let's unpack the equation x*2=5 from our definition of *:

x*2=3x+2(2)-1=5 (where x\in \mathbb{Z})

Now that we've got things defined in terms of familiar operations, we can simplify and solve for x:

3x+2(2)-1=5\\3x+4-1=5\\3x+3=5\\3x=2\\x=2/3

8 0
3 years ago
QUESTION 3 [10 MARKS] A bakery finds that the price they can sell cakes is given by the function p = 580 − 10x where x is the nu
Harman [31]

Answer:

(a)Revenue function, R(x)=580x-x^2

Marginal Revenue function, R'(x)=580-2x

(b)Fixed cost =900 .

Marginal Cost Function=300+50x

(c)Profit,P(x)=-35x^2+280x-900

(d)x=4

Step-by-step explanation:

<u>Part A </u>

Price Function= 580 - 10x

The revenue function

R(x)=x\cdot (580-10x)\\R(x)=580x-x^2

The marginal revenue function

\dfrac{dR}{dx}= \dfrac{d}{dx}(R(x))=\dfrac{d}{dx}(580x-x^2)=580-2x\\R'(x)=580-2x

<u>Part B </u>

<u>(Fixed Cost)</u>

The total cost function of the company is given by c=(30+5x)^2

We expand the expression

(30+5x)^2=(30+5x)(30+5x)=900+300x+25x^2

Therefore, the fixed cost is 900 .

<u> Marginal Cost Function</u>

If  c=900+300x+25x^2

Marginal Cost Function, \frac{dc}{dx}= (900+300x+25x^2)'=300+50x

<u>Part C </u>

<u>Profit Function </u>

Profit=Revenue -Total cost

580x-10x^2-(900+300x+25x^2)\\580x-10x^2-900-300x-25x^2\\$Profit,P(x)=-35x^2+280x-900

<u> Part D </u>

To maximize profit, we find the derivative of the profit function, equate it to zero and solve for x.

P(x)=-35x^2+280x-900\\P'(x)=-70x+280\\-70x+280=0\\-70x=-280\\$Divide both sides by -70\\x=4

The number of cakes that maximizes profit is 4.

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3 years ago
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Step-by-step explanation:

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