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Harman [31]
2 years ago
5

A ball is thrown into the air with an upward velocity of 36 ft/s. Its height h in feet after t seconds is given by the function

h = −16t2 + 36t + 5. In how many seconds does the ball reach its maximum height? Round to the nearest hundredth if necessary. What is the ball’s maximum height?
A. 2.25 s; 5 ft


B. 1.13 s; 25.25 ft


C. 1.13 s; 27.5 ft


D. 1.13 s; 65.75 ft
Mathematics
1 answer:
Ivenika [448]2 years ago
7 0
<span>A ball is thrown into the air with an upward velocity of 36 ft/s. Its height h in feet after t seconds is given by the function h = −16t2 + 36t + 5. In how many seconds does the ball reach its maximum height? Round to the nearest hundredth if necessary. What is the ball’s maximum height?


A. 2.25 s; 5 ft


B. 1.13 s; 25.25 ft


C. 1.13 s; 27.5 ft


D. 1.13 s; 65.75 ft <====

</span>
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The prime factorization of 236
mafiozo [28]

Answer:

The prime factors are: 2 x 2 x 59

or Written in exponential form: 2^2 x 59^1

Step-by-step explanation:

236 ÷ 2 = 118 - No remainder! 2 is one of the factors

118 ÷ 2 = 59 - No remainder! 2 is one of the factors

59 ÷ 59 = 1 - No remainder! 59 is one of the factors

together we have the factors 2 x 2 x 59 = 236

3 0
3 years ago
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It takes james 2.5 minutes to type 150 words at that rate how mant words can james type in 6 minutes
sergey [27]

The number of words james can type in 6 minutes at the same rate is 360 words

Given:

Number of minutes to type 150 words = 2.5 minutes

let

number of words James can type in 6 minutes = x

Equate the ratio of the number of words to number of minutes

150 : 2.5 = x : 6

150/2.5 = x/6

cross product

150 × 6 = 2.5 × x

900 = 2.5x

x = 900/2.5

x = 360 words

Therefore, the number of words james can type in 6 minutes is 360 words

Learn more about ratio:

brainly.com/question/16981404

5 0
2 years ago
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Oceanside Bike Rental Shop charges a 17 dollar fixed fee plus 7 dollars an hour for renting a bike. Alyssa paid 66 dollars to re
Brilliant_brown [7]

Answer:

4 hours

Step-by-step explanation:

3 0
3 years ago
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in a city school of 1,200 students, 40% of the students are on the honor roll, 60% have a part-time job, and 22% are on the hono
Alexus [3.1K]
Let
A = event that the student is on the honor roll
B = event that the student has a part-time job
C = event that the student is on the honor roll and has a part-time job

We are given
P(A) = 0.40
P(B) = 0.60
P(C) = 0.22
note: P(C) = P(A and B)

We want to find out P(A|B) which is "the probability of getting event A given that we know event B is true". This is a conditional probability

P(A|B) = [P(A and B)]/P(B)
P(A|B) = P(C)/P(B)
P(A|B) = 0.22/0.6
P(A|B) = 0.3667 which is approximate

Convert this to a percentage to get roughly 36.67% and this rounds to 37%

Final Answer: 37%

4 0
3 years ago
Two trains leave stations 306 miles apart at the same time traveling toward each other one is traveling at 90 mph the other at 8
Sergeu [11.5K]

Answer:

They will meet in 1.8 hours.

Step-by-step explanation:

Given that, distance between trains = 306 miles

Let they take time 't' to meet each other.

Speed of first train = 90 mph

Speed of second train = 80 mph

Let distance traveled by first train = D_1 miles

Formula for distance:

Distance = Speed \times Time

Distance traveled by first train, D_1 = 90t

Let distance traveled by first train = D_2 miles

Formula for distance:

Distance = Speed \times Time

Distance traveled by first train, D_2 = 80t

Total distance traveled is 306 miles.

i.e.

D_1+D_2=306\\\Rightarrow 90t +80t=306\\\Rightarrow 170t=306\\\Rightarrow t =\dfrac{306}{170}\\\Rightarrow \bold{t=1.8\ hr}

They will meet in 1.8 hours.

3 0
3 years ago
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