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Trava [24]
3 years ago
5

David drops a ball from a bridge at an initial height of 100 meters.

Mathematics
2 answers:
Gnom [1K]3 years ago
8 0
(a) 55.9 m

(b) About 4.518 seconds.

_____
A graphing calculator can be helpful for these.

dedylja [7]3 years ago
5 0
The general formula is:
y = y_{o} + v_{o}t -  \frac{1*g*t^{2} }{2} -- (A)

Where g = 9.8 m/s/s
v_{o} = 0
y_{o} = 100

a)
Time=t=3s.
Plug-in the values in (A)
y = 100 -(1/2*9.8*3*3)
y = 100-44.1 = 55.9m

Height of the ball exactly after 3 seconds = 55.9m.

b)
At ground, y=0; Plug-in values in (A):
A=> 0 = 100 - (1/2* 9.8 * [tex]t_{2}[/text])
Therefore t = + 4.52 s and - 4.52 seconds.

As t cannot be negative, therefore:
Time when ball hits the ground = 4.52s

-i
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6 0
3 years ago
Your sample is normally distributed with a mean age of 36. The standard deviation in this sample is 4 years. You would expect:
Nostrana [21]

Kindly find complete question attached below

Answer:

Kindly check explanation

Step-by-step explanation:

Given a normal distribution with ;

Mean = 36

Standard deviation = 4

According to the empirical rule :

68% of the distribution is within 1 standard deviation of the mean ;

That is ; mean ± 1(standard deviation)

68% of subjects :

36 ± 1(4) :

36 - 4 or 36 + 4

Between 32 and 40

2.)

95% of the distribution is within 2 standard deviations of the mean ;

That is ; mean ± 2(standard deviation)

95% of subjects :

36 ± 2(4) :

36 - 8 or 36 + 8

Between 28 and 44

3.)

99% is about 3 standard deviations of the mean :

That is ; mean ± 3(standard deviation)

99% of subjects :

36 ± 3(4) :

36 - 12 or 36 + 12

Between 24 and 48

3 0
2 years ago
If x = 3, calculate the value of: x3 - x
Sergeeva-Olga [200]
You have to fill in 3 for x so it woul look like 3x3-3 and that would be 6.
8 0
3 years ago
Read 2 more answers
Log10 (2x + 1) - logio(3x - 2) = 1​
Pavlova-9 [17]

Answer: x=3/4

Step-by-step explanation:

To solve, first express the left side as one logarithm. To do so, apply the quotient rule which is log_bM/N=log_bM-log_bN .

log((2x+1)/(3x-2))=1

Then, express the equation to its equivalent exponential form to eliminate the logarithm.

Note that the exponential form of log_b M=a is M=b^a .

Since the base of the logarithm in the given equation is not written, it indicates that its base is 10.

So re-writing the equation, it becomes:

log_10((2x+1)/(3x-2))=1

And its exponential form is:

(2x+1)/(3x-2)=10^1

(2x+1)/(3x-2)=10

Now that the equation has no more logarithm, the next step is to remove the x in the denominator.

To do so, multiply both sides by 3x-2.

(3x-2)*(2x+1)/(3x-2)=10*(3x-2)

2x+1=30x-20

Next, combine like terms.

To combine 30x and 2x, bring them together on one side of the equation. So, move 2x to the right side by subtracting both sides by 2x.

2x-2x+1=30x-2x-20

1=28x-20

To combine 20 and 1, bring them together on the side opposite the term with x. So, add both sides by 20.

1+20=28x-20+20

21=28x

And, divide both sides by 28 to have x only at the right side.

21/28=(28x)/28

3/4=x

Hence, the solution to the given equation is x=3/4 .

3 0
3 years ago
A painter uses 2.75 gallons of paint per hour. How many gallons of paint will the painter use in 3.5 hours?
anygoal [31]

Answer:

9.625 gallons will be used by the painters in 3.5 hours

Step-by-step explanation:

2.75 gallons = 1 hr

X gallons = 3.5 hrs

X = (3.5 × 2.75)/1

X = 9.625 gallons

9.625 gallons will be used by the painters in 3.5 hours

8 0
3 years ago
Read 2 more answers
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