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3 years ago

The sum of the lengths of all the edges of a cube

Mathematics

2 answers:

mamaluj [8]3 years ago

6 0

The correct answer is 8 cm.

Inessa05 [86]3 years ago

5 0

I believe it’s 8 cm I’m not so sure

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A certain restaurant offers 8 different salads, 5 different main courses, 6 different desserts. if customers choose one salad, o

kobusy [5.1K]

$8\cdot5\cdot C(6,2)=40\cdot\dfrac{6!}{2!3!}=40\cdot\dfrac{4\cdot5\cdot6}{2}=2,400$

4 0

3 years ago

Simplify (-2x)^4 a.) -16x^4 b.) -8x^4 c.) -2x^4 d.) 8x^4 e.) 16x^4

kozerog [31]

answer

c.)

Step-by-step explanation:

(-2x)^4 = -2x^4

which is the same as answer c.)

4 0

3 years ago

A ball is thrown vertically in the air with a velocity of 95 ft/s. The ball is at a height of 120 ft.

sattari [20]

Answer:

The ball is at a height of 120 feet after 1.8 and 4.1 seconds.

Step-by-step explanation:

The statement is incomplete. The complete statement is perhaps the following "A ball is thrown vertically in the air with a velocity of 95 ft/s. What time in seconds is the ball at a height of 120ft. Round to the nearest tenth of a second."

Since the ball is launched upwards, gravity decelerates it up to rest and moves downwards. The position of the ball can be determined as a function of time by using this expression:

$y = y_{o} + v_{o}\cdot t +\frac{1}{2}\cdot g \cdot t^{2}$

Where:

$y_{o}$ - Initial height of the ball, measured in feet.

$v_{o}$ - Initial speed of the ball, measured in feet per second.

$g$ - Gravitational constant, equal to $-32.174\,\frac{ft}{s^{2}}$ .

$t$ - Time, measured in seconds.

Given that $y_{o} = 0\,ft$ , $v_{o} = 95\,\frac{ft}{s}$ , $g = -32.174\,\frac{ft}{s^{2}}$ and $y = 120\,ft$ , the following second-order polynomial is found:

$120\,ft = 0\,ft + \left(95\,\frac{ft}{s} \right)\cdot t +\frac{1}{2}\cdot \left(-32.174\,\frac{ft}{s^{2}} \right) \cdot t^{2}$

$-16.087\cdot t^{2} + 95\cdot t -120 =0$

The roots of this polynomial are, respectively:

$t_{1} \approx 4.075\,s$ and $t_{2} \approx 1.831\,s$ .

Both roots solutions are physically reasonable, since $t_{1}$ represents the instant when the ball reaches a height of 120 ft before reaching maximum height, whereas $t_{2}$ represents the instant when the ball the same height after reaching maximum height.

In nutshell, the ball is at a height of 120 feet after 1.8 and 4.1 seconds.

8 0

3 years ago

As shown in the illustration, Alexa had a negative balance in her checking account before depositing a $47.00 check. What is the

meriva

Well, I can't really answer the question without seeing the illustration, I cannot tell you what Alex's checking account balance is now, because of the fact that I do not know what it was before. If you change the question so it includes this, I would be delighted to help you!

3 0

3 years ago

Yolanda made $192 for 12 hours of work. At the same rate, how many hours would she have to work to make $272?

denpristay [2]

Answer:

17 hours

take $192 and divide it by 12 so you know how much they make per hour

$192 / 12 = 16

then you're going to take $272 and divide it by what you know now - how much they make per hour (this will get you how many hours they worked)

$272 / 16 = 17

6 0

2 years ago