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Lapatulllka [165]
3 years ago
15

A 1-liter bottle of orange juice used to cost $2.85 at a food market. Its price has increased; the new price is 110 percent of t

he original price. What is the new price of the juice? Round your answer to the nearest cent.
A.$2.95
B.$2.99
C.$3.09
D.$3.14
Mathematics
1 answer:
Mama L [17]3 years ago
3 0

D. 3.14

hop this helps ^o^

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Answer:

The answer to your question is y = 2x + 11

Step-by-step explanation:

Data

Original line   y = -(1/2)x + 5

Point (-4, 3)

Process

1.- Get the slope of the new line

- Slope of the original line = -1/2

  If the lines are perpendicular, the slopes must be reciprocal

                       -1/2  reciprocal = 2

2.- Get the equation of the new line

          y - y1 = m(x - x1)

          y - 3 = 2(x + 4)

- Simplification

         y - 3 = 2x + 8

- Solve for y

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3 years ago
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56 divided (-10)<br><br> What is the answer?
ElenaW [278]

Answer:

-5.6

Step-by-step explanation:

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A brick is thrown upward from the top of a building at an angle of 250 above the horizontal, and with an initial speed of 15 m/s
mojhsa [17]

Answer:

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(b) 2.05 m

Step-by-step explanation:

Let the height of the building be 'h'.

Given:

Angle of projection is, \theta=25°

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Time of flight is, t=3.0\ s

(a)

Consider the vertical motion of the brick.

Vertical component of initial velocity is given as:

u_y=u\sin\theta\\\\u_y=15\sin(25)=6.34\ m/s

Vertical displacement of the brick is equal to the height of the building.

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Acceleration is due to gravity in the downward direction. So,

Acceleration is, g=-9.8\ m/s^2

Now, using the following equation of motion;

-h=u_yt+\frac{1}{2}gt^2\\-h=6.34(3)-\frac{9.8}{2}(3)^2\\\\-h=19.02-44.1\\\\-h=-25.08\\\\h=25.08\ m

Therefore, the building is 25.08 m tall.

(b)

Let the maximum height be 'H'.

At maximum height, the vertical component of velocity is 0 as the brick stops temporarily in the vertical direction.

So, v_y=0\ m/s

Now, using the following equation of motion, we have:

v_y^2=u_y^2+2gH\\\\0=(6.34)^2-2\times 9.8\times H\\\\19.6H=40.2\\\\H=\frac{40.2}{19.6}=2.05\ m

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