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GalinKa [24]
3 years ago
15

Two cars depart an intersection.

Mathematics
1 answer:
patriot [66]3 years ago
4 0

Answer:

The distance between them after 1 hour and 30 minutes will be of 63.64 miles.

Step-by-step explanation:

This question can be solved using the Pythagorean Theorem.

Both cars travel at a constant speed of 30 miles per hour. So, after 1 hour and 30 minutes, which is 1 and a half hour, they will have traveled 30*1.5 = 45 miles.

The distance between them is the hypotenuse of a right triangle, in which the sides are 45. So

d^2 = 45^2 + 45^2

d = \sqrt{45^2 + 45^2}

d = 63.64

The distance between them after 1 hour and 30 minutes will be of 63.64 miles.

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What are the zeros in the function
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f(x)=x^3+x^2-6x\\\\text{The zeros:}\\\\f(x)=0\to x^3+x^2-6x=0\\\\x(x^2+x-6)=0\\\\x(x^2+3x-2x-6)=0\\\\x[x(x+3)-2(x+3)]=0\\\\x(x+3)(x-2)=0\iff x=0\ \vee\ x+3=0\ \vee\ x-2=0\\\\x=0\ \vee\ x=-3\ \vee\ x=2

Answer: -3; 0 and 2

6 0
4 years ago
1) A population of bees is increasing at a rate of 8% per week. If
ad-work [718]

Answer:

≈387,7

Step-by-step explanation:

I hope it's right. Sorry if it's not right.

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3 years ago
A pollster contacts 74 people in the 18-21 age bracket and finds that 38 of them respond and 36 refuse to respond. When 297 peop
Nonamiya [84]

Answer:

0,250

Step-by-step explanation:

The probability that you looking for is sum of probability of getting someone in the 18-27age (74 persones) and probability to getting someone who refused (36 and 19 persones) - probability of getting some of 18-27 age who refused (36 persons).

The probability is:

P(a or b)= p(a)+p(b)-p(a&b)=74/371+(36+19)/371-36/371=0,199+0,148-0,097=0,250

7 0
3 years ago
A factory made 357,945 baseball bats over the last 2 years. During that time, the factory made 490,867 little league baseballs a
mojhsa [17]

Answer:

522,761 baseballs

Step-by-step explanation:

Number of baseball bats produced over the last 2 years = 357, 945

Number of little league baseballs produced over the last 2 years = 490,867

Number of major league baseballs produced over the last 2 years = 389,839

Total number of baseballs produced over the period = 490,867 + 389,839

                                                                                         = 880,706

Number of baseballs manufactured more than bats = 880,706 - 357945

                                                                                      = 522,761

There are 522,761 baseballs produced more than bats during the 2 years.

8 0
3 years ago
34*9 what is it !!!!!!!!!!!!
stira [4]
The answer is 306.

There you go.
5 0
3 years ago
Read 2 more answers
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