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lana [24]
3 years ago
11

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

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

The <em>instantaneous</em> 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 <em>difference</em> rate.

In this question we must find an expression for the <em>instantaneous</em> 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 <em>instantaneous</em> rate of change of <em>g</em> with respect to <em>x</em> at <em>x = π/3</em> is <em>1/2</em>. \blacksquare

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

4 0
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.
6 0
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.
3 0
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 :)

Step-by-step explanation:

5 0
3 years ago
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4. *Each pair of polygons is similar. Find the value of x.
torisob [31]

Step-by-step explanation:

since both objects and sides are similar, you can set each side equal, then you cross multiply, and do subtraction, then find x.

3 0
3 years ago
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