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2 years ago

Help please this shouldn't take long to answer I'm just bad at this this stuff (brainliest)

Mathematics

1 answer:

icang [17]2 years ago

3 0

Answer:

5 - 17 - 25 - 42 - 64

Step-by-step explanation:

Given data set:

5, 14, 20, 23, 25, 29, 40, 44, 64

It is already in ascending order.

As per data the 5-number summary is:

Minimum = 5
First quartile = (14 + 20)/2 = 17, the median of the lower half
Median = 25, the middle number as the set comprises of 9 numbers
Third quartile = (40 + 44)/2 = 42, the median of the upper half
Maximum = 64

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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

4 0

1 year ago

?????????????????????????

Monica [59]

Answer:

Interest earned = $32.835

Step-by-step explanation:

Given the following data;

Principal = $275

Number of times = 0.5

Interest rate = 2.9% = 0.029

Time = 4 years

To find the interest earned, we would use the compound interest formula;

$A = P(1 + \frac{r}{n})^{nt}$

Where;

A is the future value.

P is the principal or starting amount.

r is annual interest rate.

n is the number of times the interest is compounded in a year.

t is the number of years for the compound interest.

Substituting into the equation, we have;

$A = 275(1 + \frac{0.029}{0.5})^{0.5*4}$

$A = 275(1 + 0.058)^{2}$

$A = 275(1.058)^{2}$

$A = 275(1.1194)$

A = $307.835

Interest earned = 307.835 - 275

Interest earned = $32.835

5 0

2 years ago

Jacub is trying to find the volume of a traffic cone that has the height of 2.4 ft and a diameter of 1.25 ft. He calculated that

Lubov Fominskaja [6]

Answer:

he did half the diameter

Step-by-step explanation:

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Murrr4er [49]

B.

If you go left 2 and up 3.5, you’ll get point A

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2 years ago

100% as a fraction in simplest form

sergey [27]

Answer:

Step-by-step explanation:

100/100 =

srry if wrong but

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1 year ago