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olya-2409 [2.1K]
3 years ago
12

D = 3.2(t+1)(2t - 3)

Mathematics
1 answer:
ipn [44]3 years ago
8 0

Answer:

3/2=1.5 sec

Step-by-step explanation:

Equate d=0 and solve the expression, t=-1 and 3/2 but t can't be negative.

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You’re about to get on a plane to Seattle. You want to know if it’s raining. You call 3 random friends who live there and ask ea
Lyrx [107]

Answer:

The probability that it is actually raining in Seattle is 26/27

Step-by-step explanation:

Here we have the probability that a friend is telling the truth = 2/3

The probability that a friend is telling a lie = 1/3

Therefore, if all three friends say "Yes" it is raining in Seattle, the probability that is actually raining is given by the probability that one of them is telling the truth. That is the complement that all are messing with their friend.

The probability that all are not telling the truth is;

P(All not telling the truth) = \frac{1}{3} \times \frac{1}{3}   \times  \frac{1}{3}  =  \frac{1}{27}

P(One is telling the truth) = 1 - P(All not telling the truth)  = 1- \frac{1}{27} = \frac{26}{27}

Therefore, the probability that it is actually raining in Seattle = 26/27.

3 0
3 years ago
I kinda need help nah I definitely need help
xxMikexx [17]

Answer:

<BCD = 128, <ECD = 52

Step-by-step explanation:

(3x + 5) + (x + 11) = 180

4x + 16 = 180

4x = 164

x = 41

<BCD is complimentary to <ACE which is (3x + 5). (3 * 41 + 5) = 128

<ECD is complimentary to <ACB which is (x + 11). (41 + 11) = 52.

4 0
3 years ago
A diver went 37.9 feet below the surface of the ocean, and then 12.4 feet further down, he then rose 8.16 feet. Write and solve
klemol [59]
(37.9 + 12.4) + 8.16 i think, i could be wrong though.
8 0
3 years ago
Read 2 more answers
A town has a population of 2000 and grows at 4.5% every year. What will be the
goldfiish [28.3K]

Answer:

3544

Step-by-step explanation:

This is a problem of compound growth. The formula is

F=P(1+r)^t

Where F is the value in the future (in this case, the population after 13 years)

P is the intial amount (here, the initial population of 2000, so P = 2000)

r is the rate of growth (here, it is 4.5%, in decimal, 0.045)

t is the time frame (here, it is 13 years, so t = 13)

<em>we can plug the numbers into the formula and solve for F:</em>

<em>F=P(1+r)^t\\F=2000(1+0.045)^{13}\\F=2000(1.045)^{13}\\F=3544.4</em>

<em>rounded to the nearest whole number, the </em><em>population after 13 years would be 3544</em>

3 0
3 years ago
Read 2 more answers
The Frosty Ice-Cream Shop sells sundaes for $2 and banana splits for $3. On a hot summer day, the shop sold 8 more sundaes than
svlad2 [7]

The shop sold 36 sundaes and 28 banana spilts

<em><u>Solution:</u></em>

Let "a" be the number of sundaes sold

Let "b" be the number of banana spilts sold

Cost of 1 sundaes = $ 2

Cost of 1 banana spilt = $ 3

<em><u>On a hot summer day, the shop sold 8 more sundaes than banana splits and made $156</u></em>

Therefore,

Number of sundaes sold = 8 + number of banana spilts sold

a = 8 + b ------- eqn 1

<em><u>Also, given that they made $ 156</u></em>

<em><u>Therefore, we frame a equation as</u></em>:

Number of sundaes sold x Cost of 1 sundaes + number of banana spilts sold x Cost of 1 banana spilt = 156

a \times 2+b \times 3 = 156

2a + 3b = 156 ---------- eqn 2

<em><u>Substitute eqn 1 into eqn 2</u></em>

2(8 + b) + 3b = 156

16 + 2b + 3b = 156

16 + 5b = 156

5b = 156 - 16

5b = 140

<h3>b = 28</h3>

<em><u>Substitute b = 28 in eqn 1</u></em>

a = 8 + 28

<h3>a = 36</h3>

Thus the shop sold 36 sundaes and 28 banana spilts

4 0
3 years ago
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