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dedylja [7]
3 years ago
6

Integration 3x-1/4x^2+4x+5

Mathematics
1 answer:
Tresset [83]3 years ago
4 0

Answer:  −1 /4 x^2+7x+5

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By rounding to 1 significant figure, estimate the answers to these questions:<br><br> 346 x 904
nikdorinn [45]

Answer:

    312 784

Step-by-step explanation:

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4 years ago
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Kristen lives directly east of the park. The football field is directly south of the park. The library sits on the line formed b
klemol [59]

Imagine right triangle PHF, where P - park, H - home and F - football field, then PH, PF are legs and HF is hypotenuse . Denote point L to be library. You know that point L lies on the segment FH and FL=8, LH=2. Also you know that PL is an altitude to the hypotenuse.

Use the property of altitude drawn from the vertex of right angle to the hypotenuse (the length of the altitude is geometrical mean between legs' projections onto hypotenuse):

PL=\sqrt{HL\cdot LF},\\  PL=\sqrt{2\cdot 8}=\sqrt{16} =4 mi.

This means that the distance between park and libriry is 4 miles.

Consider right triangle PLF ( angle L is right angle and PF - hypotenuse). By the Pythagorean theorem,

PF^2=PL^2+LF^2,\\ PF^2=4^2+8^2,\\ PF^2=16+64=80,\\ PF=\sqrt{80} =4\sqrt{5} mi. The distance between park and football field is 4\sqrt{5} miles.

Answer: the distance between park and libriry is 4 miles and the distance between park and football field is 4\sqrt{5} miles.

6 0
3 years ago
A bottle rocket is shot off a bridge into the stream below. The height of the rocket (in feet) above
nalin [4]

The correct model of the height of rocket above water is;

h(t) = -16t² + 96t + 112

Answer:

time to reach max height = 3 seconds

h_max = 256 ft

Time to hit the water = 7 seconds

Step-by-step explanation:

We are given height of water above rocket;

h(t) = -16t² + 96t + 112

From labeling quadratic equations, we know that from the equation given, we have;

a = -16 and b = 96 and c = 112

To find the time to reach maximum height, we will use the vertex formula which is; -b/2a

t_max = -96/(2 × -16)

t_max = 3 seconds

Thus, maximum height will be at t = 3 secs

Thus;

h_max = h(3) = -16(3)² + 96(3) + 112

h_max = -144 + 288 + 112

h_max = 256 ft

Time for it to hit the water means that height is zero.

Thus;

-16t² + 96t + 112 = 0

From online quadratic formula, we have;

t = 7 seconds

7 0
3 years ago
How many distinct arrangements of four letters (without repeats) from the set {a, b, c, d, e} are possible? 15?
larisa [96]
From the pool of 5 letters, we're picking 4. We can arrange the 4 we picked in 4!=24 ways.

But there are 5 ways of *not* picking the remaining letter. To account for the arrangements containing the letter not picked, we multiply this total by 5.

Put another way, suppose we drew a, b, c, and d, but not e. We have 24 possible arrangements for these 4 letters, but for any distinct arrangement there are 5 ways of replacing any letter with e.

So the number of arrangements we can actually make is 5!=120.
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3 years ago
Y=-x^2 +78x-512 I need help with this problem
TiliK225 [7]

Answer:

Step-by-step explanation:

7 0
3 years ago
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