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3 years ago

Suppose you fill a glass with ice cubes .When the ice cubes melt, is the glass still full ?

1 answer:

7 0

Well, you can't "fill" the glass with ice cubes to begin with.
The ice cubes never fit together perfectly, and there are always
a lot of air-spaces between them. When the ice melts, there is
almost exactly the same amount of air in the glass as there was
originally. (Actually, a tiny bit more, for other reasons.)

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Use the Factor Theorem to find ALL zeros of f(x) = x^3 - x^2 - 11x + 15, given that 3 is a zero. Show all work and express zeros

ELEN [110]

Answer:

Step-by-step explanation:

by synthetic division

3) 1 -1 -11 15

| 3 6 -15 (add)

____________

1 2 -5 |0

x²+2x-5=0

$x=\frac{-2 \pm\sqrt{2^{2} -4*1*-5} }{2*1} \\or~x=\frac{-2 \pm\sqrt{4+20} }{2} \\or~x=\frac{-2 \pm2\sqrt{6} }{2} \\or ~x=-1 \pm \sqrt{6}$

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3 years ago

Train A and train B leave a central station at the same time. They travel the same speed, but in opposite directions, with train

ira [324]

Answer: speed = 585/(13/2) = 90 miles per hour.

Step-by-step explanation:speed = distance / time

since they are moving in opposite direction, the time is the sum of the two times = 2 1/2 + 4 = 6 1/2 = 13/2

8 0

3 years ago

Read 2 more answers

5(4+2x) - (8x-12)=68 pls help lol , bad at math

svlad2 [7]

The answer is, 22x + 58

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3 years ago

Read 2 more answers

Find the value of the trigonometric ratio.

olchik [2.2K]

Answer:

30 / 34 and 15/17 simplified.

Step-by-step explanation:

cos = adjacent / hypotenuse

adjacent is the (base) which is 30 and hypotenuse is the longest side which is 34

7 0

2 years ago

An actor invests some money at 7%, and $24000 more than four times the amount at 8%. The total annual interest earned from the i

natita [175]

Answer:

$70,000 at 7%
$304,000 at 8%

Step-by-step explanation:

Given:

Total interest earned on two investments is $29,220.

An amount is invested at 7%.

$24,000 more than 4 times that amount is invested at 8%.

Find:

The amount invested at each rate.

Solution:

Our strategy will be to define a variable representing the amount invested at 7%, use that variable to write an expression for the amount invested at 8%, then write an equation for the total return on the investments.

Let x represent the amount invested at 7%. Then (24,000+4x) will be the amount invested at 8%. The total interest earned will be ...

interest on 7% account + interest on 8% account = total interest

0.07x + 0.08(24000+4x) = 29220

0.39x + 1920 = 29220 . . . . . . . . . . . simplify

0.39x = 27300 . . . . . . . . . . . . . . . . . .subtract 1920

x = 27300/0.39 = 70000 . . . . . . . . . divide by the coefficient of x

24,000 +4x = 24,000 +280,000 = 304,000 . . . . amount invested at 8%

He invested $70,000 at 7% and $304,000 at 8%.

Check

The answer must satisfy ...

7% interest + 8% interest = 29,220

0.07×70,000 +0.08×304,000 = 4,900 +24,320 = 29,220 . . . . as required

_____

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6 0

3 years ago