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4 years ago

Which represents the decimal 0.071

Mathematics

2 answers:

777dan777 [17]4 years ago

7 0

Answer:

The answer is B

Step-by-step explanation:

In the decimal (base ten) system, the value of the digits is based on the number ten. Each position in a decimal number has a value that is a power of 10.

Vika [28.1K]4 years ago

3 0

Answer is B

The last digit (1) is on the thousandths place value

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Who wanna be friends???=) Also what is 1+1? XD

stira [4]

Your answer would be 1+1=2

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3 years ago

What is 4/5 hour = Seconds

lianna [129]

4 / 5 hours = 2880 seconds

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3 years ago

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Marta_Voda [28]

Answer:

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Step-by-step explanation:

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3 years ago

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A conical water tank with vertex down has a radius of 13 feet at the top and is 21 feet high. If water flows into the tank at a

VLD [36.1K]

Answer:

$\frac{dh}{dt}\approx0.08622\text{ ft/min}$

Step-by-step explanation:

We know that the conical water tank has a radius of 13 feet and is 21 feet high.

We also know that water is flowing into the tank at a rate of 30ft³/min. In other words, our derivative of the volume with respect to time t is:

$\frac{dV}{dt}=\frac{30\text{ ft}^3}{\text{min}}$

We want to find how fast the depth of the water is increasing when the water is 17 feet deep. So, we want to find dh/dt.

First, remember that the volume for a cone is given by the formula:

$V=\frac{1}{3}\pi r^2h$

We want to find dh/dt. So, let's take the derivative of both sides with respect to the time t. However, first, let's put the equation in terms of h.

We can see that we have two similar triangles. So, we can write the following proportion:

$\frac{r}{h}=\frac{13}{21}$

Multiply both sides by h:

$r=\frac{13}{21}h$

So, let's substitute this in r:

$V=\frac{1}{3}\pi (\frac{13}{21}h)^2h$

Square:

$V=\frac{1}{3}\pi (\frac{169}{441}h^2)h$

Simplify:

$V=\frac{169}{1323}\pi h^3$

Now, let's take the derivative of both sides with respect to t:

$\frac{d}{dt}[V]=\frac{d}{dt}[\frac{169}{1323}\pi h^3}]$

Simplify:

$\frac{dV}{dt}=\frac{169}{1323}\pi \frac{d}{dt}[h^3}]$

Differentiate implicitly. This yields:

$\frac{dV}{dt}=\frac{169}{1323}\pi (3h^2)\frac{dh}{dt}$

We want to find dh/dt when the water is 17 feet deep. So, let's substitute 17 for h. Also, let's substitute 30 for dV/dt. This yields:

$30=\frac{169}{1323}\pi (3(17)^2)\frac{dh}{dt}$

Evaluate:

$30=\frac{146523}{1323}\pi( \frac{dh}{dt})$

Multiply both sides by 1323:

$39690=146523\pi\frac{dh}{dt}$

Solve for dh/dt:

$\frac{dh}{dt}=\frac{39690}{146523}\pi$

Use a calculator. So:

$\frac{dh}{dt}\approx0.08622\text{ ft/min}$

The water is rising at a rate of approximately 0.086 feet per minute.

And we're done!

Edit: Forgot the picture :)

3 0

3 years ago

What is an equation of the line that passes through the points (-4,-5) and (-8, -2)?

Katena32 [7]

Step-by-step explanation:

first we need to find the slope of the line.

the slope is the ratio of "y coordinate change / x coordinate change" when going from one point to the other.

we see here

x changes by -4 (from -4 to -8).

y changes by +3 (from -5 to -2).

so, the slope is +3/-4 = -3/4

there are two main forms for the equation of a line :

the slope-intercept form

y = ax + b

and the point-slope form

y - y1 = a(x - x1)

where "a" is the slope, and (x1, y1) is a point on the line.

we can pick any point, and I would pick (-4, -5).

so we get as point-slope form

y + 5 = -3/4 × (x + 4)

or for the slope intercept form we simplify the point-slope form

y + 5 = -3/4 x + -3/4 × 4 = -3/4 x - 3

y = -3/4 x - 8

3 0

2 years ago