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3 years ago

8

Which statement is true? @jimthompson5910

1 answer:

Lelechka [254]3 years ago

6 0

The regression equation given to us is y = 0.5x + 1.3

It is in the form y = mx+b
m = 0.5 is the slope
b = 1.3 is the y intercept

The slope of 0.5 indicates that each time x increases by 1, the value of y will increase by 0.5 (since 0.5 = 0.5/1)

Translate this into the context of the problem and that means "for every extra person attending (x), the prep time increases by roughly 0.5 hours" which is what choice C is saying, well a paraphrase of it anyway.

Answer: Choice C

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A recipe calls for 1080 mL of broth. How many cups is that? (give answer in fraction form)

BigorU [14]

The necessary information regarding this problem is already given. Based on this information, the answer can be easily deduced.
236.5 ml = 1 cup
Then
1080 ml = 1080/236.5
= 4.56 cups
= 4 1/2 cups approx
From the above deduction we can conclude that the number of cups required for making the recipe is about 4 1/2 cups. I hope that this is the answer that has actually come to your desired help.

5 0

3 years ago

112 oz= how many pounds are in 112 ounces

scoundrel [369]

7 pounds
Hope this helps!

6 0

4 years ago

According to Boyle's Law, if the temperature of a confined gas is held fixed, then the product of the pressure P and the volume

Bad White [126]

If <em>PV</em> = 800, then <em>P</em> can be written as a function of <em>V</em>,

<em>P(V)</em> = 800 / <em>V</em>

(a) The average rate of change of <em>P</em> as <em>V</em> increases from 200 to 250 in³ is then

(<em>P</em> (250) - <em>P</em> (200)) / (250 in³ - 200 in³) = (3.2 lb/in² - 4lb/in²) / (50 in³)

... = -0.016 (lb/in²)/in³

(Or -0.016 lb/in⁵, but I figure writing the rate as (units of pressure) per (unit volume) makes more sense.)

(b) We can also write <em>V</em> as a function of <em>P</em> :

<em>V(P)</em> = 800 / <em>P</em>

Take the derivative:

<em>V'(P)</em> = - 800 / <em>P</em>²

which immediately demonstrates that <em>V'(P)</em> ∝ 1 / <em>P</em>², as required. (The fish-looking symbol, ∝, means "is proportional to".)

If differentiating is supposed to be more involved, you can use the limit definition:

$V'(P)=\displaystyle\lim_{h\to0}\frac{V(P+h)-V(P)}h$

$V'(P)=\displaystyle\lim_{h\to0}\frac{\frac{800}{P+h}-\frac{800}P}h$

$V'(P)=\displaystyle\lim_{h\to0}\frac{\frac{800P-800(P+h)}{P(P+h)}}h$

$V'(P)=\displaystyle800\lim_{h\to0}\frac{-\frac h{P(P+h)}}h$

$V'(P)=\displaystyle-800\lim_{h\to0}\frac1{P(P+h)}=-\dfrac{800}{P^2}$

7 0

3 years ago

Distribute to simplify the expression: 3 ( 2X + 5Y - 4)

IrinaK [193]

Answer:

6X + 15Y - 12

Step-by-step explanation:

3 (2X + 5Y - 4)

Multiply each term by 3

2X * 3 + 5Y * 3 - 4 * 3

6X + 15Y - 12

8 0

4 years ago

Read 2 more answers

Which statement best describes f(x)= -2 √x-7 +1 –6 is in the domain of f(x) but not in the range of f(x). –6 is not in the domai

Archy [21]

Answer:

B. -6 does not belong to the domain but belongs to the range of f(x).

Step-by-step explanation:

We have the function, $f(x)=-2\sqrt{x-7}+1$ .

So, the domain of the function is obtained when $x-7\geq 0$ i.e. $x\geq 7$

That is, the domain is {x | x≥ 7}.

Now as we have,

$x\geq 7$ → $x-7\geq 0$ → $\sqrt{x-7} \geq 0$ → $-2\sqrt{x-7} \leq 0$ → $-2\sqrt{x-7}+1 \leq 1$ .

That is, $f(x)\leq 1$

Thus, the range of the function f(x) is {y | y≤ 1}.

Thus, we can see that,

-6 does not belong to the domain but belongs to the range of f(x).

5 0

4 years ago