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2 years ago

TRUE OR FALSE: The number 532 has 2 significant digits. Select one: True False

Mathematics

1 answer:

Nimfa-mama [501]2 years ago

6 0

The answer is false, youre welcome

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2 years ago

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,

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

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2 years ago

There are 6 sixth graders , 7 seventh graders , and 8 eight graders entered in a contest.

fgiga [73]

Answer:

See below ~

Step-by-step explanation:

P (6th grader)

No. of 6th graders / Total students
6 / 6 + 7 + 8
6/21
2/7

P (6th grader after)

No. of 6th graders - 1 / Total students - 1
6 - 1 / 21 - 1
5/20
1/4

Question 1 : P (Both 6th graders)

P = P (6th grader) × P (6th grader after)
P = 2/7 x 1/4 = 2/28 = 1/14

Question 2 : P' (Both 6th graders)

P' = 1 - P
P' = 1 - 1/14
P' = 13/14

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1 year ago

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