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3 years ago

10

Emily is entering a bicycle race for charity. Her mother pledges $0.30 for every 0.25 mile she bikes. If Emily bikes 8 miles, ho

w much will her mother donate?

1 answer:

spayn [35]3 years ago

3 0

I believe ur answer is 9.60

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Find the value of x in kite EFGH<br>

kolbaska11 [484]

Answer:

x = 105

Step-by-step explanation:

the sum of all interior angles of any four-sided figure has 360 degrees

∡F and ∡H are equal

add all four expressions and set them equal to 360

x + (x + 5) +( x + 5) + (140 - x) = 360

combine like terms

2x + 150 = 360

2x = 210

x = 105

3 0

3 years ago

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Examine the figure. What is the measure of angle a?

pantera1 [17]

A = 180-90-31

A = 59

Answer: 59

4 0

2 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

Please help and thank you

zubka84 [21]

Answer:

B

Step-by-step explanation:

The graph of x² is known as the parent function. From it, all quadratics can be transformed to make their graphs. It can undergo a series of transformations like translations up/down/left/right or stretch and compression vertically and horizontally. Usually the equation can tell you you what transformations it undergoes. Since g(x) is the same equation as x² except for 4/5 this is a vertical compression. Since it is the leading coefficient under multiplication and 4/5 < 1, this is a compression vertically. Answer B is correct.

8 0

3 years ago

How do I factor this problem?

STALIN [3.7K]

Answer = 7x(4x-1) . Hope it helps.

4 0

2 years ago

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