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3 years ago

NEEEEEEEEED HELPPP step by step

Mathematics

1 answer:

Romashka-Z-Leto [24]3 years ago

6 0

Answer:

Step-by-step explanation:

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The manufacturer of a certain engine treatment claims that if you add their product to your engine, it will be protected from e

Oksana_A [137]

Answer: $H_0:\mu\geq33$

$H_a:\mu$

Step-by-step explanation:

Let $\mu$ be the average number of hours a person drive without adding the product.

Given claim : An infomercial claims that a woman drove 33 hours without oil.

i.e. $\mu\geq33$

It is known that the null hypothesis always contains equal sign and alternative hypothesis is just opposite of the null hypothesis.

Thus the null and alternative hypothesis for the given situation will be :-

$H_0:\mu\geq33$

$H_a:\mu$

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If a snowball melts so that its surface area decreases at a rate of 5 cm2/min, find the rate at which the diameter decreases whe

mixas84 [53]

Answer:

The diameter decreases at the rate of 0.0796 cm/min when the diameter is 10 cm.

Step-by-step explanation:

A snowball is spherical, so it's area is given by the following formula:

$A = 4\pi r^{2}$

The radius is half the diameter so:

$A = 4\pi (\frac{d}{2})^{2}$

$A = 4\pi \frac{d^{2}}{4}$

$A = \pi d^{2}$

If a snowball melts so that its surface area decreases at a rate of 5 cm2/min, find the rate at which the diameter decreases when the diameter is 10 cm.

We have to find $\frac{dd}{dt}$ when $\frac{dA}{dt} = -5, d = 10$

$A = \pi d^{2}$

Applying implicit differentiation:

We have to variables(A and d), so:

$\frac{dA}{dt} = 2\pi d \frac{dd}{dt}$

$-5 = 2\pi (10) \frac{dd}{dt}$

$\frac{dd}{dt} = -\frac{5}{20\pi}$

$\frac{dd}{dt} = -0.0796$

The diameter decreases at the rate of 0.0796 cm/min when the diameter is 10 cm.

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4 years ago

Pls help me guys! This is super hard

natita [175]

I hope that this helps! Each dash represents a dot or whatever you have to put on there

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4 years ago

(sin Θ − cos Θ)^2 − (sin Θ + cos Θ)^2

Andru [333]

More generally, we have

$(a-b)^2-(a+b)^2=(a^2-2ab+b^2)-(a^2+2ab+b^2)=-4ab$

so that

$(\sin\theta-\cos\theta)^2-(\sin\theta+\cos\theta)^2=-4\sin\theta\cos\theta=-2\sin2\theta$

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3 years ago