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3 years ago

Please help me. I'm literally failing. Also show your work please.

Mathematics

1 answer:

Ann [662]3 years ago

7 0

Area of the rectangle = L X W

Area of the rectangle = 4 X 2

Area of the rectangle = 8 inches

If the drawing is 1/5 of the actual air conditioning unit, then you multiply the reciprocal which is 5 times the area of the drawing. When you want to enlarge it has to be a whole number. When you want to reduce you multiply by a fraction.

So 8 inches X 5 = 40 inches is the actual area of the unit.

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The amount y (in dollars) that you earn by working x hours is represented by the equation y = 9x. A) What is the slope? B) What

marissa [1.9K]

Answer:

360 dollars

Step-by-step explanation:

Equation;

y = 9x

A) What is the slope?

The slope in an equation is the coefficient of the x variable. In this question, the slope is 9.

B) What does the slope mean? Interpret!

The slope shows the relationship between the x and y values.

This means that for every single unit change of x, y changes by 9 times.

C) How much money would you make if you worked 40 hours?

x = working hours

y = Amount

y = 9 (40) = 360 dollars

6 0

3 years ago

We are standing on the top of a 1680 ft tall building and throw a small object upwards. At every second, we measure the distance

MAVERICK [17]

Answer:

a) The height of the small object 3 seconds after being launched is 2304 feet.

b) The small object ascends 128 feet between 5 seconds and 7 seconds.

c) The object will take 6 and 10 seconds after launch to reach a height of 2640 feet.

d) The object will take 21 seconds to hit the ground.

Step-by-step explanation:

The correct formula for the height of the small object is:

$h(t) = -16\cdot t^{2}+256\cdot t+1680$ (1)

Where:

$h$ - Height above the ground, measured in feet.

$t$ - Time, measured in seconds.

a) The height of the small object at given time is found by evaluating the function:

$h(3\,s)= -16\cdot (3\,s)^{2}+256\cdot (3\,s)+1680$

$h(3\,s) = 2304\,ft$

The height of the small object 3 seconds after being launched is 2304 feet.

b) First, we evaluate the function at $t = 5\,s$ and $t = 7\,s$ :

$h(5\,s)= -16\cdot (5\,s)^{2}+256\cdot (5\,s)+1680$

$h(5\,s) = 2560\,s$

$h(7\,s)= -16\cdot (7\,s)^{2}+256\cdot (7\,s)+1680$

$h(7\,s) = 2688\,s$

We notice that the small object ascends in the given interval.

$\Delta h = h(7\,s)-h(5\,s)$

$\Delta h = 128\,ft$

The small object ascends 128 feet between 5 seconds and 7 seconds.

c) If we know that $h = 2640\,ft$ , then (1) is reduced into this second-order polynomial:

$-16\cdot t^{2}+256\cdot t-960=0$ (2)

All roots of the resulting equation come from the Quadratic Formula:

$t_{1} = 10\,s$ and $t_{2}= 6\,s$

The object will take 6 and 10 seconds after launch to reach a height of 2640 feet.

d) If we know that $h = 0\,ft$ , then (1) is reduced into this second-order polynomial:

$-16\cdot t^{2}+256\cdot t +1680 = 0$ (3)

All roots of the resulting equation come from the Quadratic Formula:

$t_{1} = 21\,s$ and $t_{2} = -5\,s$

Just the first root offers a solution that is physically reasonable.

The object will take 21 seconds to hit the ground.

8 0

3 years ago

Determine the y-intercept and slope and then write the equation for this table.*

Novosadov [1.4K]

Answer:

The y-intercept is 15 and the slope is 5.5

y=5.5x+15

Step-by-step explanation:

4 0

3 years ago

Meg withdrew $300 from her account on Saturday. Then she deposited $174.83 into her account on Sunday.

Nataly [62]

Answer:

-300 + 174.83 = ?

5 0

4 years ago

Type in the number that will complete the sentence.

Mumz [18]

Answer:

127 pages

Step-by-step explanation:

254 × 1/2 = 127

254 ÷ 2 = 127

4 0

3 years ago