Answer:
- time = 1second
- maximum height = 16m
Step-by-step explanation:
Given the height of a pumpkin t seconds after it is launched from a catapult modelled by the equation
f(t)=-16t²+32t... (1)
The pumpkin reaches its maximum height when the velocity is zero.
Velocity = {d(f(x)}/dt = -32t+32
Since v = 0m/s (at maximum height)
-32t+32 = 0
-32t = -32
t = -32/-32
t = 1sec
The pumpkin reaches its maximum height after 1second.
Maximum height of the pumpkin is gotten by substituting t = 1sec into equation (1)
f(1) = -16(1)²+32(1)
f(1) = -16+32
f(1) = 16m
The maximum height of the pumpkin is 16m
Answer:
$40.50 will be taken out in taxes.
Step-by-step explanation:
First, solve for how much Naomi will receive in a paycheck:
$225 + $50(9)
$225 + $450
$675
Now, solve for 6% tax:
$675 × 0.06
$40.50
Answer:
11.43
Step-by-step explanation:
You can start this by adding the total cost of the salad and the coffee.
4.76 + 3.81 = 8.57
Then you have the paid amount of 20 bucks because there was two tens.
20 - 8.57 = 11.43.
Answer:
A political strategist wants to test the claim that the percentage of residents who favor construction is more than 30%, so then that represent our claim and needs to be on the alternative hypothesis.
Based on this the correct system of hypothesis are:
Null hypothesis: 
Alternative hypothesis 
Step-by-step explanation:
We have the following info given from the problem:
the random sample of voters selected from the town
represent the proportion of residents favored construction
represent the value desired to test.
A political strategist wants to test the claim that the percentage of residents who favor construction is more than 30%, so then that represent our claim and needs to be on the alternative hypothesis.
Based on this the correct system of hypothesis are:
Null hypothesis:
Alternative hypothesis
And in order to test this hypothesis we can use a one sample z test for a population proportion and the statistic would be given by:
(1)
And with the data given we have:
Step-by-step explanation:
4) x=(z-y)/2
8) b=(d)/ac
9) x=(-z+4)/y
10) a=(c-3)b
