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3 years ago

A jet can travel at a speed of 500 miles per hour. How far will the plane get it it flies at a full speed for 4.5 hours.

Mathematics

1 answer:

SpyIntel [72]3 years ago

4 0

Answer:2250 miles

Step-by-step explanation:

If the jet travels 500 miles in an hour then in 4 hours it will travel 2000 miles. In half an hour it will travel 250 miles.

2000+250=2250 miles

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A geometric sequence has a4=4 and a5=7. What is a1?

ella [17]

A is 0.025 from what i worked out, I hope it is correct :)

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3 years ago

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1 +1 2+2 3+3 4+4 5+5 6+6

julsineya [31]

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3 years ago

Find a positive number for which the sum of it and its reciprocal is the smallest (least) possible. Let x be the number and let

Allisa [31]

Answer:

$S(x) = x + \frac{1}{x}$ --- Objective function

Interval = $\{x:x=1\}$

Step-by-step explanation:

Given

Represent the number with x

The required sum can be represented as:

$x + \frac{1}{x}$

Hence, the objective function is:

$S(x) = x + \frac{1}{x}$

To get the the interval, we start by differentiating w.r.t x

Using first principle, this gives:

$S'(x) = 1 - \frac{1}{x^2}$

Equate S'(x) to 0 in order to solve for x

$0 = 1 - \frac{1}{x^2}$

Subtract 1 from both sides

$0 -1 = 1 -1 - \frac{1}{x^2}$

$-1 = - \frac{1}{x^2}$

Multiply both sides by -1

$1 = \frac{1}{x^2}$

Cross Multiply

$x^2 * 1 = 1$

$x^2 = 1$

Take positive square root of both sides because x is positive

$\sqrt{x^2} = \sqrt{1$

$x = 1$

Representing x using interval notation, we have

Interval = $\{x:x=1\}$

To get the smallest sum, we substitute 1 for x in $S(x) = x + \frac{1}{x}$

$S(1) = 1 + \frac{1}{1}$

$S(1) = 1 + 1$

$S(1) = 2$

Hence, the smallest sum is 2

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3 years ago

The Last customer of the day is a loyal customer who brings in a $15.00 off coupon. She purchases 2 paint brushes ($21), one doz

Yuri [45]

Answer:

I think $21 or $7.88

Step-by-step explanation:

check it again and there you go

6 0

2 years ago

Write the percent as a mixed number in simplest form. 168%

vladimir2022 [97]

Answer:

1 and 17/25

Step-by-step explanation:

First, you make it into a fraction. So because percents are out of 100, it would be 168/100. Then, you take 100 out of it to get a mixed number, 1 and 68/100, and then simplify 68/100 by dividing both sides by the greatest common factor, which is 4. 68/100÷4=17/25. The answer would be 1 and 17/25.

(hope this helps :P)

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2 years ago