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3 years ago

6

A ball is dropped from the top of a building. The distance, y, in meters above the ground for the ball after t seconds can be mo

deled by the equation u=-9.8t^2+100.

1 answer:

Harlamova29_29 [7]3 years ago

7 0

The y-intercept of the equation is 100. It means that the ball is being dipped from 100 meters. An x-intercept would be when the ball would reach the ground. I believe after 98 seconds it would reach the ground but I’m not sure.

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An initial investment of $100 is now valued at $150. The annual interest rate is 5%, compounded continuously. The equation 100e0

fenix001 [56]

Answer:

8

Step-by-step explanation:

edg

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50/117 in simplest form

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It remains the same. $\frac{50}{117}$ cannot be simplified

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2 years ago

Let u = (1, k) and v = (2, 1). Find k such that The distance between u and v is 1 u and v are orthogonal The angle between u and

SVETLANKA909090 [29]

Answer:k=1,k=-2,k= $8\pm 5\sqrt{3}$

Step-by-step explanation:

Given two vectors

$u=1\hat{i}+k\hat{j}$

$v=2\hat{i}+1\hat{j}$

$\left ( i\right )$ Distance between them is given by

$|u-v|=\sqrt{\left ( 2-1\right )^2+\left ( 1-k\right )^2}=1$

squaring both side

$1^{2}+\left ( 1-k\right )^2=1$

$k^2-2k+1=0$

$\left ( k-1\right )^2=0$

k=1

$\left ( ii\right )$

angle between u and v is 90 i.e. orthogonal

$u\dot v=0$

$\left ( 1\hat{i}+k\hat{j}\right )\dot \left ( 2\hat{i}+1\hat{j}\right )$ =0

2+k=0

k=-2

$\left ( iii\right )$

angle between u & v is $\frac{\pi }{3}$

$u\dot v=|u||v|cos\left (\frac{\pi }{3}\right )$

$|u|=\sqrt{1^2+k^2}$

$|v|=\sqrt{2^2+1^2}$

$2+k=\left ( \sqrt{1+k^2}\right )\left ( \sqrt{5}\right )cos\left ( \frac{\pi }{3}\right )$

$\left ( 4+2\right )^2=\left ( 1+k^2\right )5$

$k^2-16k-11$ =0

k= $8\pm 5\sqrt{3}$

7 0

3 years ago

Bob and Mark talk about their families. Bob says he has 3 kids, the product of their ages is 72. He gives another clue: the sum

Damm [24]

Not this riddle again

3 kids
what you are supposed to do is factor 72 and see their sums
1+1+72=74
1+2+36=39
1+3+24=28
1+4+18=23
2+2+18=22
1+6+12=19
2+3+12=17
1+8+9=18
2+4+9=15
2+6+6=14
3+3+8=14
3+4+6=13

notice that all the sums are different except for the 2 that add to 14
since there is not enough info, we can conclude that the sum was 14 and that the ages is either 2,6,6 or 3,3,8
after he says, "the youngest is called justice"
now we know there is a youngest
it cannot be 3,3,8 because 3 and 3 are both youngest
therefor the ages are
2,6 and 6 years old

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3 years ago

Paul [167]

Answer:

1 out of 12

Step-by-step explanation:

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