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3 years ago

1. A decreases

Mathematics

1 answer:

Anit [1.1K]3 years ago

3 0

Answer:
1. B increases
2. D 4
3. A. every 15 minutes

The exponent function can be described as an= a0(r)^n where
a0= the initial value
r= the ratio of growth of decay
n= the time

In this question, the initial value would be 120, the ratio would be 1.04 and the time would be 4t.
The ratio is 1,04 or can be said as 104%. The graph should be growing since the ratio is >1. So, the first answer is increases.
The ratio is 104% which means 4% more than the original value(100%). So the next answer would be 4%.
The time used in the graph is 4t and the unit used by t is hours. That means, the growing happens for every 1/4 hour. If you change it into minute, it would be: 1/4* 60 minutes/hour= 15 minutes

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Answer:

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Step-by-step explanation:

Information provided

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We need to conduct a hypothesis in order to test if the true proportion of overfilled bags is higher than 0.15.:

Null hypothesis: $p =0.7$

Alternative hypothesis: $p > 0.15$

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And replacing the info given we got:

$z=\frac{0.21 -0.15}{\sqrt{\frac{0.15(1-0.15)}{100}}}=1.68$

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Step-by-step explanation:

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Step-by-step explanation:

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The radius of the base of a cylinder is decreasing at a rate of 121212 kilometers per second. The height of the cylinder is fixe

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Answer:

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Step-by-step explanation:

Given that:

Rate of decreasing of radius = 12 km/sec

Height of cylinder is fixed at = 2.5 km

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To find:

The rate of change of Volume of the cylinder?

Solution:

First of all, let us have a look at the formula for volume of a cylinder.

$Volume = \pi r^2h$

Where $r$ is the radius and

$h$ is the height of cylinder.

As per question statement:

$r$ = 40 km (variable)

$h$ = 2.5 (constant)

$\dfrac{dV}{dt} = \dfrac{d}{dt}\pi r^2h$

As $\pi, h$ are constant:

$\dfrac{dV}{dt} = \pi h\dfrac{d}{dt} r^2\\\Rightarrow \dfrac{dV}{dt} = \pi h\times 2 r\dfrac{dr}{dt} \\$Putting the values:$\\\Rigghtarrow\dfrac{dV}{dt} = 3.14 \times 2.5\times 2 \times 40\times 12 \\\Rigghtarrow\dfrac{dV}{dt} = 7536\ km^3/sec$

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