14. A baby weighed 7 lb 3 oz at birth. Four months later, the baby

A ball is thrown into the air by a baby alien on a planet in the system of Alpha Centauri with a velocity of 43 ft/s. Its height

Lina20 [59]

Answer:

Instantaneous Velocity at t = 1 is 20 feet per second

Step-by-step explanation:

We are given he following information in the question:

$y(t)=43t-23t^{2}$

B) Instantaneous Velocity at t = 1

$y(1) = 43(1)-23(1)^2 = 20$

A) Formula:

Average velocity =

$\displaystyle\frac{\text{Displacement}}{\text{Time}}$

1) 0.01

$y(1 + 0.01)=y(1.01) = 43(1.01)-23(1.01)^{2} = 19.9677\\\\\text{Average Velocity} = \dfrac{y(1.01)-y(1)}{1.01-1} =\dfrac{19.9677-20}{1.01-1}= \dfrac{-0.0323}{0.01} = -3.230000 \text{feet per second}$

2) 0.005 s

$y(1 + 0.005)=y(1.005) = 43(1.005)-23(1.005)^{2} = 19.984425\\\\\text{Average Velocity} = \dfrac{y(1.005)-y(1)}{1.005-1} =\dfrac{19.984425-20}{1.005-1} = -3.1150000 \text{feet per second}$

3) 0.002 s

$y(1 + 0.002)=y(1.002) = 43(1.002)-23(1.002)^{2} = 19.993908\\\\\text{Average Velocity} = \dfrac{y(1.002)-y(1)}{1.002-1} =\dfrac{19.993908-20}{1.002-1} = -3.0460000 \text{feet per second}$

4) 0.001 s

$y(1 + 0.001)=y(1.001) = 43(1.001)-23(1.001)^{2} = 19.996977\\\\\text{Average Velocity} = \dfrac{y(1.001)-y(1)}{1.001-1} =\frac{19.996977-20}{1.001-1} = -3.0230000 \text{feet per second}$

3 0

3 years ago

Which expression can be used to convert 22 Australian dollars to US dollars?

Nadusha1986 [10]

$22 AUD * 1 USD / 1.2 AUD
Hope that helps

5 0

3 years ago

Read 2 more answers

If f(x)=4x3+Ax2+5x−5 and f(2)=3, what is the value of A?

Luba_88 [7]

The value of x is 24

6 0

3 years ago

Complete the equation for the linear function whose graph contains the points

aniked [119]

Get the slope:
( 10-(-2) )/( 3 - (-1) ) = 3

Let's use letters to represent the ?'s.
y + k = m(x + 1)

Examine the equation:
Notice that if x were to equal -1, the equation would be equal to 0.
m(-1 + 1) = m(0) = 0

If x were to be -1, then y would have to be -2 since that is one of the points provided in the problem.

So now we have:
-2 + k = 0

Solve for k:
k = 2

So I know that 2 is the only number that will work for k.

Our new equation is y + 2 = m(x + 1)

Recall point slope form:
y - y1 = m(x - x1)

Our equation is in the same form as point slope form, so we know that m in our equation represents the slope.

We found the slope at the beginning, it was 3. So plug it in:
y + 2 = 3(x + 1)

Let's test our answer by plugging in a point. Let's try (3, 10):
10 + 2 = 3(3 + 1)
12 = 12

So our answer is correct:
y + 2 = 3(x + 1) is the answer.

4 0

3 years ago

There are an equal number of pennies, nickels, dimes, and quarters in a bag. What is the probability that the combined value of

Anettt [7]

Answer:

the probability is 0.09375

Step-by-step explanation:

From the question we know that there are equal number of pennies, nickels, dimes and quarters, So the probability of get of select one penny, or one nickel, or one dime or one quarter is the same. This is equivalent to have one of every coin and select four with replacement.

Additionally, the only way that the combined value of the four coins selected will be $0.41 is that the person select one penny, one nickel, one dime and one quarter.

The total ways of select 4 coins from 4 types of coins is calculate by the rule of multiplication as:

4*4*4*4=256

And for obtain the value of $0.41 the number of ways are:

4*3*2*1=24

Then the probability that the combined value of the four coins randomly selected with replacement will be $0.41 can be calculated as:

P=24/256=0.09375

8 0

3 years ago