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3 years ago

6. Find the slope. A.1/3 B.-1/3 C.3 D.-3

Mathematics

2 answers:

dlinn [17]3 years ago

5 0

1/3 it went up one and to the right 3. it is also a positive slope

Alexxx [7]3 years ago

4 0

Six divided by negative two is negative three

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A family of 17 are trying to get back to their island for Christmas when disaster strikes – their ship hits a rock and will sink

wlad13 [49]

Answer: 13

Althoug each round trip takes 9 minutes and can carry 5 people on the boat, you can not just divide the 20 minutes time by 9 and multiply by 5 to find the number of people that are saved without getting wet.

First trip:

5 people take the boat to the island but only 4 can stay, because one has to return with the boat to the ship to rescue other 4 people.

So, when 9 minutes have passed, 4 people are safe on the island and the boat is again by the ship.

Second trip:

In the second trip, other 4 people are rescued,along with "sailor" who returned in the boat to rescue them.

When it has passed 18 minutes, the boat is next to the ship agin to carry other 4 people before the boat sinks.

This is the last trip before the boat sinks. So, the total number of passengers rescued is 4 + 4 + 5 = 13

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3 years ago

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1a.) State the domain of the function. <br><br> 1b.) State the range of the function.

Alenkasestr [34]

Answer:

Domain: all real numbers

Range: all real numbers

Step-by-step explanation:

The graph goes on infinitely both ways.

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3 years ago

15.

Dmitrij [34]

Answer:

B. y = | x + 15.5 |

Step-by-step explanation:

The + inside the absolute value equation really means -.

So there is a horizontal shift of 15.5 units left.

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2 years ago

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The diameter and height of a right circular cylinder are found at a certain instant to be 10 centimeters and 20 centimeters, res

Andrej [43]

Answer:

Step-by-step explanation:

Here's the formula for the volume of a right circular cylinder:

$V=\pi r^2h$

Here's what we are given and what we need to find:

Given that d = 10 cm, h = 20 cm, dd/dt = 1 cm/sec

Need to find dh/dt when V is constant

Since our formula has a radius in it and not a diameter but the info given is a diameter, we can use the substitution that

$2r =d$ so

$r=\frac{1}{2}d$

Now we can rewrite the formula in terms of diameter:

$V=\pi (\frac{1}{2}d)^2h$ which simplifies down to

$V=\frac{\pi }{4}d^2h$

Now we will take the derivative of this equation with respect to time using the product rule. That derivative is

$\frac{dV}{dt}=\frac{\pi }{4}[d^2*\frac{dh}{dt}+2d\frac{dd}{dt}*h]$

Now we can fill in our values. Keep in mind that if the volume is constant, there is no change in the volume, so dV/dt = 0.

$0=\frac{\pi }{4}[(100\frac{dh}{dt}+2(10)(1)(20)]$ and

$0=\frac{\pi }{4}(100\frac{dh}{dt}+400)$

Multiply both sides by pi/4 to get

$0=100\frac{dh}{dt}+400$ and solve for dh/dt:

$-4=\frac{dh}{dt}$

Interpreted within the context of our problem, this means that the volume will be constant at those given values of diameter and height when the liquid in the cylinder is dropping at a rate of 4 cm/sec.

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3 years ago

What is the simplified form of (-10x+3)-(-4+2x)

attashe74 [19]

Hi the answer is: -12x + 7

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3 years ago

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