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klemol [59]
3 years ago
12

WILL GIVE BRAINIEST A ball is thrown from a height of 45 meters with an initial downward velocity of 5/ms. The ball's height h (

in meters) after t seconds is given by the following. =h−45−5t5t2 How long after the ball is thrown does it hit the ground?
Mathematics
1 answer:
Zinaida [17]3 years ago
6 0

Answer:

2.16 s

Step-by-step explanation:

When it hits the ground, height h=0 hence

0=45-10t-5t^{2}

5t^{2}+10t-45=0

t^{2}+2t-9=0

Using quadratic formula

x=-1+\sqrt 10\\ x=-1-\sqrt 10

Since time can't be negative, -1+\sqrt 10

t=2.16 s

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Which of the following quantities are directly proportional:
Zepler [3.9K]

Answer:

Area ∝ Length.

Step-by-step explanation:

If the length of a rectangle is L and width is W, then the area of the rectangle is given by A = LW.

Now, it is given that the width of a rectangle is constant and it is 6 cm.

Therefore, the relation between the length of the rectangle in cm with the area of the rectangle in cm² will be A = 6L.

So, it is clear from the above relation that Area (A) is proportional with its length (L) and the constant of proportionality is 6. (Answer)

4 0
2 years ago
If 2k, 5k-1 and 6k+2 are the first 3 terms of an arithmetic sequence, find k and the 8th term​
Klio2033 [76]

Answer:

see explanation

Step-by-step explanation:

The common difference d of an arithmetic sequence is

d = a_{2} - a_{1} = a_{3} - a_{2}

Substitute in values and solve for k, that is

5k - 1 - 2k = 6k + 2 - (5k - 1)

3k - 1 = 6k + 2 - 5k + 1

3k - 1 = k + 3 ( subtract k from both sides )

2k - 1 = 3 ( add 1 to both sides )

2k = 4 ⇒ k = 2

--------------------------------------------------------

The n th term of an arithmetic sequence is

a_{n} = a_{1} + (n - 1)d

a_{1} = 2k = 2 × 2 = 4 and

d = 5k - 1 - 2k = 3k - 1 = (3 × 2) - 1 = 5

Hence

a_{8} = 4 + (7 × 5) = 4 + 35 = 39

4 0
3 years ago
The nutrition facts label on a container of dry roasted cashews indicates there are 161 calories in 28 grams. You eat 9 cashews
RoseWind [281]

Answer:

there are 161 calories in 28 gram,then:

one gram of dry roasted cashews contains=161/28=5.75 calories

You eat 12 gram of it, =12*5.75=69 calories


9 cashews  has 12gram, then:

one gram of dry roasted cashews contains= 9/12 = 0.75 cashews

there are total of 28gram in one serving.

Therefore cashews in one serving = 0.75*28=21cashews

a)69 calories

b)21cashews

4 0
3 years ago
Please help me with these questions
Katarina [22]

Answer:


I can only do 1 but I hope it helps.


3 0
3 years ago
2. Suppose you pay $21 for a pair of shoes that was originally $30. What was the percent of decrease in price for the shoes? Set
boyakko [2]
30$ originally - 21$ paid = 9$ discount

> divide the discount by the original price, multiply by 100 to get the percent decrease.

100 x (9$ / 30$) = 30% discount
> So the shoes where on sale for 30% off the original price.

for the equation:
100 x (30-21)/30 = % decrease
8 0
3 years ago
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