Which line is parallel to the line 8x + 2y = 12? ly 4 y ty ry 2

An object at the top of a building with height 110 feet is thrown upward with an initial speed of 23 ft/s. Find its position z(t

alina1380 [7]

Answer:

Step-by-step explanation:

Given

Height of building is $h=110\ ft$

Initial upward velocity $u=23\ ft/s$

height of object is given by

$z(t)=ut+\frac{1}{2}gt^2$

but building is already at a height of 110 ft so z(t) must be given by

$Z(t)=ut+\frac{1}{2}(-g)t^2+110$

$Z(t)=23\times t-\frac{1}{2}\times 9.8\times t^2$

$Z(t)=-16t^2+23t+110$

Time when it hits is given by when Z(t)=0[/tex]

$-16t^2+23t+110=0$

$t=\frac{-23\pm \sqrt{(23)^2-4\times (-16)\times 110}}{2\times (-16)}$

$t=\frac{-23\pm 87}{-32}$

$t=3.43\ s$

6 0

3 years ago

Fifty students were eating lunch in the school cafeteria. The ratio of boys to girls was 25:25. Mrs. White asked Kym to explain

Studentka2010 [4]

42 percent of the people would because the answer to everything is 42

4 0

3 years ago

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Before 8 A.M., there were 64 trucks and 24 cars in a parking lot. Between 8 A.M. and 9 A.M., more cars entered the parking lot a

malfutka [58]

Answer:

232 cars

Step-by-step explanation:

Let's say the number of cars that entered is c.

At 9:00 am, there are a total of 24 + c cars and 64 trucks. We know that this value of 64 represents 1/5 of the total number of vehicles. The total number of vehicles is (24 + c) + 64 = 88 + c. So, we have:

64/(88 + c) = 1/5

Cross-multiply:

88 + c = 64 * 5 = 320

c = 320 - 88 = 232

Thus, the answer is 232 cars.

Note: as 232 doesn't show up in the answer choices, it's possible that the problem was copied correctly.

~ an aesthetics lover

6 0

3 years ago

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A pair of Descartes jeans costs $120. If the tax is 13%, how much does the pair of jeans cost including tax?

ivanzaharov [21]

Answer:

$135.60

Step-by-step explanation:

120*13%=15.6

15.60+120.00=$135.60

5 0

2 years ago

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Sample Response: You would graph the equation f(x) = –x + 3 for input values less than 2. There would be an open circle at the p

fgiga [73]

Answer:

Step-by-step explanation:

What did you include in your response? Check all that apply.

There would be an open circle at (2, 1). Yes

There would be a closed circle at (2, 3). Yes

There would be an open circle at (4, 3). Yes

There would be a closed circle at (4, −4). Yes

Endpoints that are not included in the domain of a particular piece of a function are represented by an open circle. Yes

7 0

2 years ago