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lakkis [162]
4 years ago
9

Write 1.005 as a mixed number. Then write how to read this number aloud.

Mathematics
1 answer:
Murljashka [212]4 years ago
8 0

Answer:

1 1/200

Step-by-step explanation:

1 1/200

one and one two-hundreth

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algol [13]
The correct answer is 72
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3 years ago
Tim has a savings account with the bank. The bank pays him 1% per year. he has $5,700 and wondered when it will reach $5,800. Wh
Reika [66]

Answer:

Step-by-step explanation:

A=P(1+rt)\\ \\ t=\left(\frac{A}{P}-1\right)/r\\ \\ t=\left(\frac{5800}{5700}-1\right)/0.01=1.75y

6 0
3 years ago
Need help #3. The answer is shown, but I don’t know how to get to the answer. Please teach and show steps.
Sunny_sXe [5.5K]

Answer:

A

Step-by-step explanation:

We are given a right triangle with a base of <em>x</em> feet and a height of <em>h</em> feet, where <em>x</em> is constant and <em>h</em> changes with respect to time <em>t</em>.

The angle in radians is defined by:

\displaystyle \tan(\theta)=\frac{h}{x}

And we want to find the relationship that describes dθ/dt and dh/dt.

So, we will differentiate both sides with respect to <em>t</em> where <em>x</em> is a constant:

\displaystyle \frac{d}{dt}[\tan(\theta)]=\frac{d}{dt}\Big[\frac{h}{x}\Big]

Differentiate. Apply the chain rule on the left. Again, remember that <em>x</em> is just a constant, so we can move it outside the derivative operator. Therefore:

\displaystyle \sec^2(\theta)\frac{d\theta}{dt}=\frac{1}{x}\frac{dh}{dt}

Since we know that tan(θ)=h/x, <em>h</em> is the opposite side of our triangle and <em>x</em> is the adjacent. Therefore, by the Pythagorean Theorem, our hypotenuse will be:

\text{Hypotenuse}=\sqrt{h^2+x^2}

Since secant is the ratio of the hypotenuse to adjacent:

\displaystyle \sec(\theta)=\frac{\sqrt{h^2+x^2}}{x}

So:

\displaystyle \sec^2(\theta)=\frac{x^2+h^2}{x^2}

By substitution, we have:

\displaystyle \Big(\frac{x^2+h^2}{x^2}\Big)\frac{d\theta}{dt}=\frac{1}{x}\frac{dh}{dt}

By multiplying both sides by the reciprocal of the term on the left:

\displaystyle \frac{d\theta}{dt}=\frac{1}{x}\Big(\frac{x^2}{x^2+h^2}\Big)\frac{dh}{dt}

Therefore:

\displaystyle \frac{d\theta}{dt}=\frac{x}{x^2+h^2}\frac{dh}{dt}

Our answer is A.

3 0
3 years ago
Billy spent $37.99 on 12 pounds of dogfood for his pet. What is the price per pound for
TiliK225 [7]
37.99/12= 3.165
So the price per pound would be $3.17
5 0
4 years ago
I really need help please help me​
dezoksy [38]

Answer:

2.82

Step-by-step explanation:

I tried my best so im sorry if it isnt correct

x4-5x2-24=0

(x2+3) (x2-8)=0

x2 +3=0

x= 2.82

7 0
3 years ago
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