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3 years ago

Kim took a 3,000 mile trip in 4 days.

Mathematics

1 answer:

Vesnalui [34]3 years ago

6 0

Answer:

B. 745 miles

Step-by-step explanation:

Given that

Kim took 3000 miles trip in 4 days

And,

1st day - 850 miles

2nd day - 745 miles

3rd day - 660 miles

We need to find out that how much she travel in the 4th day

So, it is

= 3000 miles - 850 miles - 745 miles - 660 miles

= 745 miles

Hence, the option b is correct

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Solnce55 [7]

Something on maths that I have no clue

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3 years ago

Calculate the limit of the function with L'Hospital rule

mr_godi [17]

Answer:

L=24

Step-by-step explanation:

L'Hopital's Rule for Evaluating Limits:

Rule is that if $\lim_{x \to a} \frac{f(x)}{g(x)}$ takes $\frac{0}{0}$ or $\frac{\infty}{\infty}$ form, then,

$\lim_{x \to a} \frac{f(x)}{g(x)}= \lim_{x \to a} \frac{f'(x)}{g'(x)}$

where $f'(x)=\frac{df(x)}{dx}$ and $g'(x)=\frac{dg(x)}{dx}$

Now coming to the problem,

$L= \lim_{x \to \frac{\pi}{6} } \frac{cot^{3}x-3cotx}{cos(x+\frac{\pi}{3} )}$

Here $f(x)=cot^{3}x-3cotx$ and $g(x)=cos(x+\frac{\pi}{3} )$

Substituting $x=\frac{\pi}{6}$ in f(x) and g(x),

$f(\frac{\pi}{6})=cot^{3}\frac{\pi}{6}-3cot\frac{\pi}{6}\\=3\sqrt{3}-3\sqrt{3}\\ =0$

$g(\frac{\pi}{6})=cos(\frac{\pi}{6}+\frac{\pi}{3})\\=cos\frac{\pi}{2}\\=0$

Since L takes the form $\frac{0}{0}$ , using l'hopital's rule

$L= \lim_{x \to \frac{\pi}{6}} \frac{cot^{3}x-3cotx}{cos(x+\frac{\pi}{3})}= \lim_{x \to \frac{\pi}{6}} \frac{3cot^{2}x(-cosec^{2}x)-3(-cosec^{2}x)}{-sin(x+\frac{\pi}{3})}$

now substituting $x=\frac{\pi}{6}$ ,

$L= \lim_{x \to \frac{\pi}{6}} \frac{3cot^{2}\frac{\pi}{6}(-cosec^{2}\frac{\pi}{6})-3(-cosec^{2}\frac{\pi}{6})}{-sin(\frac{\pi}{6}+\frac{\pi}{3})}\\=\frac{3*3^{2}(-2^{2})+3(2^{2})}{-1}\\=24$

6 0

3 years ago

Factor the expression 3x^2 - 15x a.3x(x^2-5)<br> B.3(x-5)<br> C.3(x^2-5)<br> D.3x(x-5)

GrogVix [38]

Answer:

D. 3x(x-5)

Step-by-step explanation:

3x^2 - 15x

factor out 3 x from the expression

3x x (x-5)

therefore, ur answer is 3x(x-5) or D

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3 years ago

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goblinko [34]

Answer:

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Step-by-step explanation:

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3 years ago

What characteristic below distinguishes a quantitative research question from a research hypothesis? Group of answer choices One

denpristay [2]

Answer:

One is a question and the other is a prediction.

Step-by-step explanation:

A quantitative research is based on numbers and data.

A research hypothesis is a prediction or an explanation that will be proven right or wrong given the results found in the research. And the quantitative research question is a question that will define the porpuse and will guide what we want to get out of the investigation.

Thus, the characteristic that distinguishes them is:

One is a question and the other is a prediction.

Where the question is the quantitative research question and the prediction is the research hypothesis.

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4 years ago

Read 2 more answers