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3 years ago

3/5 - 1/3 give your answer as a fraction in its simplest form

Mathematics

1 answer:

Step2247 [10]3 years ago

4 0

Answer:4/15

Step-by-step explanation:

1. multiply and divide (left to right)3/5

=3/5-1/3

2.multiply and divide (left to right) 1/3

=3/5-1/3

3.add and subtract (left to right) 3/5-1.3:4/15

=4/15

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Let g be the function given by g(x)=limh→0sin(x h)−sinxh. What is the instantaneous rate of change of g with respect to x at x=π

lorasvet [3.4K]

The instantaneous rate of change of g with respect to x at x = π/3 is 1/2.

<h3>How to determine the instantaneous rate of change of a given function</h3>

The instantaneous rate of change at a given value of $x$ can be found by concept of derivative, which is described below:

$g(x) = \lim_{h \to 0} \frac{f(x+h)-f(x)}{h}$

Where $h$ is the difference rate.

In this question we must find an expression for the instantaneous rate of change of $g$ if $f(x) = \sin x$ and evaluate the resulting expression for $x = \frac{\pi}{3}$ . Then, we have the following procedure below:

$g(x) = \lim_{h \to 0} \frac{\sin (x+h)-\sin x}{h}$

$g(x) = \lim_{h \to 0} \frac{\sin x\cdot \cos h +\sin h\cdot \cos x -\sin x}{h}$

$g(x) = \lim_{h \to 0} \frac{\sin h}{h}\cdot \lim_{h \to 0} \cos x$

$g(x) = \cos x$

Now we evaluate $g(x)$ for $x = \frac{\pi}{3}$ :

$g\left(\frac{\pi}{3} \right) = \cos \frac{\pi}{3} = \frac{1}{2}$

The instantaneous rate of change of g with respect to x at x = π/3 is 1/2. $\blacksquare$

To learn more on rates of change, we kindly invite to check this verified question: brainly.com/question/11606037

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2 years ago

Arlene is testing whether school is more enjoyable when students are making high grades. She asked 100 students if they enjoyed

WARRIOR [948]

What is the probability that a student with a GPA below 3.0 does not enjoy school?
Only 15/60 below 3.0 enjoy school.
Rounded, that equals 25%.

Therefore, there is a 75% probability that a student with a GPA below 3.0 does not enjoy school.

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3 years ago

Some helppppp!!!!! I’m having trouble

USPshnik [31]

Answer:

1.4*40=56cm, DVD’s he has

1.4*3=4.2cm

56+4.2=60.2cm, whoops too much. So instead 1.4*2= 2.8cm, 56+2.8=58.8cm Is Your Answer.

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3 years ago

Read 2 more answers

pls help with this immediately!!! (only answer if u know bc i cannot get this wrong so don’t try guessing. i’ll be giving braini

arsen [322]

Answer:

your answer should be $16.50 :)