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solniwko [45]
3 years ago
13

Can some one please help me and explain how you got the answer?

Mathematics
2 answers:
podryga [215]3 years ago
7 0

Answer:

Yes number 5 is, they are proportional because y is coresponding to x by multiplying by 1/5

No number 6 isn't, you can't go from 3 to 1 and 7 to 3

yulyashka [42]3 years ago
4 0

Answer:

5. Proportional & 6. Not Proportional

Step-by-step explanation:

Proportional relationships = x and y increase at the same rate

5. all increases by x2

6. increases at different rates

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A road perpendicular to a highway leads to a farmhouse located d miles away. An automobile traveling on this highway passes thro
pshichka [43]

Answer:

\frac{dh}{dt}=\frac{30r}{\sqrt{d^{2}+900}}

Step-by-step explanation:

A road is perpendicular to a highway leading to a farmhouse d miles away.

An automobile passes through the point of intersection with a constant speed \frac{dx}{dt} = r mph

Let x be the distance of automobile from the point of intersection and distance between the automobile and farmhouse is 'h' miles.

Then by Pythagoras theorem,

h² = d² + x²

By taking derivative on both the sides of the equation,

(2h)\frac{dh}{dt}=(2x)\frac{dx}{dt}

(h)\frac{dh}{dt}=(x)\frac{dx}{dt}

(h)\frac{dh}{dt}=rx

\frac{dh}{dt}=\frac{rx}{h}

When automobile is 30 miles past the intersection,

For x = 30

\frac{dh}{dt}=\frac{30r}{h}

Since h=\sqrt{d^{2}+(30)^{2}}

Therefore,

\frac{dh}{dt}=\frac{30r}{\sqrt{d^{2}+(30)^{2}}}

\frac{dh}{dt}=\frac{30r}{\sqrt{d^{2}+900}}

3 0
3 years ago
The morning absentee report shows that 15% of the students are absent. There are 1360 students enrolled in the school. how many
Murrr4er [49]
In order to find the answer you multiply 1360 by .15 and you get the answer of 204. So 204 students are absent. 
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Answer:

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