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2 years ago

Simplify the following

Mathematics

1 answer:

irga5000 [103]2 years ago

8 0

$\huge\fbox{Answer ☘}$

$\bold\blue{( - 8z) {}^{2} } \\\bold{ = > 64z {}^{2} }$

hope helpful~

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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

Can someone help me please i didnt learn this

OLga [1]

Answer:

1.) Exponential Growth

2.) Exponential Decay

3.) Exponential Growth

4.) Exponential Decay

Step-by-step explanation:

1.) f (x) = 0.5 (7/3)^x

↓

always increasing

2.) f (x) = 0.9 (0.5)^x

↓

always decreasing

3.) f (x) = 21 (1/6)^x

↓

always increasing

4.) f (x) = 320 (1/6)^x

↓

always decreasing

EXPLANATION:

It's exponential growth when the base of our exponential is bigger than 1, which means those numbers get bigger. It's exponential decay when the base of our exponential is in between 1 and 0 and those numbers get smaller.

7 0

3 years ago

If Yvonne wanted to make 3 dresses that use 4 7/8 yards of fabric each, how could she estimate to make sure she has enough fabri

Varvara68 [4.7K]

"4 7/8 yards is almost 5 yards. To make certain that you have enough fabric, round up. 3 dresses at 5 yard each is 15 yards."

3 0

2 years ago

Can somebody help me in this one :)

MissTica

Answer:

A) f(x) = 6x + 14

Step-by-step explanation:

6(1) + 14 = 20

6 + 14 = 20

6(1.5) + 14 = 23

9 + 14 = 23

6(2) + 14 = 26

12 + 14 = 26

and so on...

5 0

3 years ago

Read 2 more answers

Find the measure of <6

eduard

Answer:

110 degrees

Step-by-step explanation:

Parallels lines, when intersected by a straight line, form congruent angles. Therefore 110 is equal to angle 6

4 0

3 years ago