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2 years ago

Help please I have a little time left to solve .

Mathematics

1 answer:

podryga [215]2 years ago

6 0

I can help! whats the question?

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Use the definition of a derivative to find f’(x).

tatyana61 [14]

Answer:

f'(x) = $-\frac{9}{x^2}$

Step-by-step explanation:

i) f(x) = 9 / x

ii) f'(x) = $$\lim_{h\to 0} \frac{f(x+h) - f(x)}{h} $ \hspace{0.2cm}$

$= $\lim_{h\to 0} \frac{\frac{9}{x+h} - \frac{9}{x} }{h} = \hspace{0.1cm} $\lim_{h\to 0} \frac{9x - 9(x+h)}{hx(x+h)} $ \hspace{0.1cm} = \hspace{0.1cm}$\lim_{h\to 0} \frac{-9h}{hx(x+h)} = $\lim_{h\to 0} \frac{-h}{x(x+h)} = \frac{-9}{x^2}$$

7 0

3 years ago

(1 point) A rock is thrown into a still pond and causes a circular ripple. If the radius of the ripple is increasing at a rate o

PtichkaEL [24]

Answer:

8pi feet per second

Or, 25.1 feet per second (3 sf)

Step-by-step explanation:

C = 2pi×r

dC/dr = 2pi

dC/dt = dC/dr × dr/dt

= 2pi × 4 = 8pi feet per second

dC/dt = 25.1327412287

8 0

3 years ago

How do you solve ∛216 and explain

Gennadij [26K]

The answer is 6 as 6 x 6 x 6 = 216

5 0

3 years ago

A student believes that less than 50% of students at his college receive financial aid. A random sample of 120 students was take

marusya05 [52]

Answer:

p= 0.9995 and we can conclude that students receiving aid is more than 50% according to the sample results in 2% significance level.

Step-by-step explanation:

$H_{0}$ : less than or equal 50% of students at his college receive financial aid

$H_{a}$ : more than 50% of students receive financial aid.

According to the nul hypothesis we assume a normal distribution with proportion 50%.

z-score of sample proportion can be calculated using the formula:

z= $\frac{X-M}{\frac{s}{\sqrt{N} } }$ where

X is the sample proportion (0.65)
M is the null hypothesis proportion (0.5)
s is the standard deviation of the sample ( $\sqrt{0.5*(1-0.5)}$ )
N is the sample size (120)

then z= $\frac{0.65-0.50}{\frac{\sqrt{0.25}}{\sqrt{120} } }$ ≈ 3,29

thus p= 0.9995 and since p<0.02 (2%), we reject the null hypothesis.

4 0

2 years ago

Can someone help me with this problem having trouble

lora16 [44]

So the bottom line is for vehicle weight so if you look at the bar at the top it says 25 so go to the graph and put a dot on 25 and then it says city mp is 27 so you put a dot between 25 and 30 and the connect it with a line

4 0

1 year ago