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1 year ago

I need help with this question

Mathematics

1 answer:

IgorC [24]1 year ago

5 0

The expression that shows the total gallons is 0.5gallon/1 day*16cups/1gallon * 7days/1week

<h3>Dimensional Analysis</h3>

From the given question, we are told that Katrina drinks 0.5 gallons per day. In order to determine the total cup that she drank in a a week, we will have:

Total gallons in a week. = 0.5gallons/1 day * 7days/1

Total gallons in a week = 3.5 gallons

Since 1 gallon. = 16 cups, then;

3.5 gallons = 16cups/1gallon * 3.5gallons

3.5 gallons = 56 cups

Hence the expression that shows the total gallons is 0.5gallon/1 day*16cups/1gallon * 7days/1week

Learn more on dimensional analysis here: brainly.com/question/18559676

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Ya'll fr get 50 points if you answer this. <br> What is the rate of change of <img src="https://tex.z-dn.net/?f=f%28x%29%3D2%5Ex

Evgesh-ka [11]

Answer:

$\dfrac{dy}{dx}=2^x\ln 2$

Step-by-step explanation:

**This is a non-linear function and therefore <u>does not have a constant rate of change</u>. It will have a different slope depending on what points you use in the average rate of change formula: $\mathsf{average \ rate \ of \ change = \dfrac{change \ in \ y}{change \ in \ x}}$

To calculate rate of change, differentiate.

substitute y for $f(x)$ :

$\implies y=2^x$

Take natural logs of both sides:

$\implies \ln y=\ln 2^x$

Apply the log rule $\ln a^b=b \ln a$ :

$\implies \ln y=x\ln 2$

Differentiate with respect to $x$ :

$\implies \dfrac{1}{y} \frac{dy}{dx}=\ln 2$

Mulitply both sides by $y$ :

$\implies \dfrac{dy}{dx}=y\ln 2$

Replace $y$ with $y=2^x$

$\implies \dfrac{dy}{dx}=2^x\ln 2$

Therefore, rate of change of the function is :

$\dfrac{dy}{dx}=2^x\ln 2$

8 0

3 years ago

11. |6- 15| - |5(-4)|= ?<br> A.-29<br> B. -11<br> C. 1<br> D. 11<br> E. 29

Burka [1]

Answer:

Step-by-step explanation:

|6- 15| - |5(-4)| =

|-9| - |-20| =

(9)- (20) =

-11

4 0

3 years ago

If f (x) = StartRoot one-half x minus 10 EndRoot + 3, which inequality can be used to find the domain of f(x)?

just olya [345]

The inequality that represents the domain of the function is $\frac 12x - 10 \ge 0$

<h3>How to determine the domain?</h3>

The function is given as:

$f(x) = \sqrt{\frac 12x - 10} + 3$

Set the radicand greater than or equal to 0

$\frac 12x - 10 \ge 0$

Multiply through by 2

x - 20 ≥ 0

Add 20 to both sides

x ≥ 20

Hence, the domain of the function is x ≥ 20

Read more about domain at:

brainly.com/question/1770447

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7 0

2 years ago

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Geometry- what is O? show work/explain please.

adelina 88 [10]

Answer:

Step-by-step explanation:

5 0

2 years ago

Five hundred dollars more than 10% of am amount of money $m is $1280. Find m.

In-s [12.5K]

For this one, we need to make an equation to make it look easier
(0.10 × m) + 500 = 1280
We solve for m
Subtract 500 from both sides and we get
0.10 × m = 780
Now, divide both sides by 0.10
And m would be equal to 7800
Let's see if this is correct.
Five hundred dollars more than 10% of m
We found that 10% of m is 780, now we add 500 to make the statement true. It will give us a total of 1280, which is equal of what the question says.
I hope this helps.
YOU'RE WELCOME :D

*brainliest*

6 0

3 years ago