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3 years ago

14

Assuming z is positive, which of the following is equivalent to the expression (z3−−√7)8?

1 answer:

andreev551 [17]3 years ago

4 0

Answer:

b

Step-by-step explanation:

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A cheetah spots a gazelle 300 meters away. The cheetah begins to chase the gazelle at a rate of 18 meters per second at the same

Rina8888 [55]

The cheetah runs 2 meters/sec faster than the gazelle. Eventually the cheetah will overcome the gazelle. Since distance = rate times time, time = distance/rate.

Thus,

300 meters / (2 meters/sec) = 150 sec = 2 min 30 sec

8 0

3 years ago

HELP WITH ALL PLZ I NEED HELP

alex41 [277]

1.) 16/100 and 0.16
2.) 7/10 and 0.7
3.) 6/10
4.) 73/100
5.) 6 9/10
6.)8 57/100
7.)0.70
8.)0.33
9.)7.20
10.)3.09
11.) 0.80
12.)0.48
13.)0.02
14.)0.55
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4 0

3 years ago

Amelia launched her science fair rocket, and then backed away. The path of the rocket is given by the equation below, where y is

Mamont248 [21]

Answer:

1)The rocket hit the ground at $x = \frac{5}{4}$

2)The maximum height of the rocket = 12.468 feet

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given equation

y = -2 x² + 5 x + 7 ...(i)

Differentiating equation (i) with respective to 'x' , we get

$\frac{dy}{dx} = -2( 2x) +5(1) = -4x +5$

Equating zero

$\frac{dy}{dx} = 0$

⇒ -4 x +5 =0

⇒ -4 x = -5

⇒ $x = \frac{5}{4}$

<em> The rocket hit the ground at </em> $x = \frac{5}{4}$ <em></em>

<u><em>Step(ii):</em></u>-

$\frac{dy}{dx} = -4x +5$ ...(ii)

Again differentiating equation (ii) with respective to 'x' , we get

$\frac{d^{2} y}{dx^{2} } = - 4(1)$

The maximum height at x = $\frac{-5}{4}$

y = -2 x² + 5 x + 7

$y = -2 (\frac{5}{4})^{2} + 5 (\frac{5}{4} ) + 7$

$y = \frac{-2(25)+ 25 (16)+7(64)}{64}$

$y = \frac{798}{64} = 12.468 feet$

<em>The maximum height of the rocket = 12.468 feet</em>

4 0

3 years ago

Given: ABCD is a ∥-gram; DE ∩ AB =F <br> Prove: △ADF∼△CDE

Vedmedyk [2.9K]

Answer:

By AA similarity

Step-by-step explanation:

We have been given that ABCD is a parallelogram

So, by the property of parallelogram AB ||CD and FD is cutting the line BC

Hence, FD is transverse line. In transverse line alternate angles are equal.

Therefore, ∠AFD=∠EDC (alternate interior angles)

And ∠FAD=∠ECD (opposite angles in parallelogram)

Therefore, by AA similarity △ADF∼△CDE

5 0

3 years ago

The extended warranty on a ceiling fan is 18% of the purchase price. If the price of the fan is $140, how much is the warranty?

kozerog [31]

B. if you do $140x18% it will equal $25.20

3 0

3 years ago

Read 2 more answers