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GenaCL600 [577]
3 years ago
10

Write a numerical expression for the verbal expression. the quotient of thirty-two and four divided by the sum of one and three​

Mathematics
1 answer:
natulia [17]3 years ago
6 0

Answer:

Quotient of 32 and four is: (32÷4)

Sum of one and three is: 1+3

(32÷4)÷(1+3)

Step-by-step explanation:

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givi [52]
I believe the answer is 279.98.
3 0
3 years ago
The height H of an ball that is thrown straight upward from an initial position 3 feet off the ground with initial velocity of 9
mariarad [96]

Answer:

The ball will be 84 feet above the ground 1.125 seconds and 4.5 seconds after launch.

Step-by-step explanation:

Statement is incorrect. Correct form is presented below:

<em>The height </em>h(t)<em> of an ball that is thrown straight upward from an initial position 3 feet off the ground with initial velocity of 90 feet per second is given by equation </em>h(t) = 3 +90\cdot t -16\cdot t^{2}<em>, where </em>t<em> is time in seconds. After how many seconds will the ball be 84 feet above the ground. </em>

We equalize the kinematic formula to 84 feet and solve the resulting second-order polynomial by Quadratic Formula to determine the instants associated with such height:

3+90\cdot t -16\cdot t^{2} = 84

16\cdot t^{2}-90\cdot t +81 = 0 (1)

By Quadratic Formula:

t_{1,2} = \frac{90\pm \sqrt{(-90)^{2}-4\cdot (16)\cdot (81)}}{2\cdot (16)}

t_{1} = 4.5\,s, t_{2} = 1.125\,s

The ball will be 84 feet above the ground 1.125 seconds and 4.5 seconds after launch.

3 0
3 years ago
Log, 4x² + log, 4 = 4
tino4ka555 [31]

Answer: 4

Step-by-step explanation:

7 0
3 years ago
What clockwise rotation is equivalent to a 90° counterclockwise rotation?
vovangra [49]

Answer: 270°

Step-by-step explanation:

A full rotation is 360° so to find out the clockwise equivalent of a 90° counterclockwise rotation, deduct the counterclockwise rotation from 360°:

= 360 - 90

= 270°

<em>If you rotated 90° counterclockwise, you would get to the same point as if you rotated 270° clockwise. </em>

8 0
3 years ago
A manager of an apartment store reports that the time of a customer on the second floor must wait for the elevator has a uniform
zlopas [31]

Answer:

The required probability is 0.5

Step-by-step explanation:

Consider the provided information.

A manager of an apartment store reports that the time of a customer on the second floor must wait for the elevator has a uniform distribution ranging from 2 to 4 minutes. it takes the elevator 30 seconds to go from floor to floor.

Let x denotes the waiting time.

It is given that waiting time is uniformly distributed from 2 to 4.

It is given that it takes 30 seconds to go from floor to floor.

Convert 30 seconds into minutes: \frac{30}{60}=0.5 min

Time to reach first floor is uniformly distributed:

U(2+0.5, 4+0.5)=U(2.5, 4.5)

We need to determine the probability that a hurried customer can reach the first floor in less than 3.5 minutes after pushing the elevator button on the second floor."

So we need to find  P(Y < 3.5)

P(Y < 3.5) = \frac{(3.5 - 2.5)}{(4.5 - 2.5)} = 0.5

Hence, the required probability is 0.5

7 0
4 years ago
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