Answer: The number of kittens= 500.
Step-by-step explanation:
Given, A random sample of cats at the SPCA shows that 25 out of the 40 cats are kittens.
i.e. ratio of kitten to cats =
We assume that , the ratio will remains same.
Let x be the number of kitten out of 800 , then we have
Hence, the number of kittens out of 800 cats= 500.
Answer:
5.5 seconds
Step-by-step explanation:
The function that gives the height of the object after t seconds falling is:
h = -16t^2 + 484.
To find the time when the object reaches the ground, we just need to use the value of h = 0 in the equation, and then find the value of t:
0 = -16t^2 + 484.
16t^2 = 484
t^2 = 30.25
t = 5.5 seconds
So the object will reach the ground after 5.5 seconds
Given :7872 ÷ 305.
Because it's estimation. So, we need to estimate the number 7872 to 8000.
In order to divide 8000 by a number we need to estimate 305 to the 400. Because 400 is exact divisor of 8000.
If we divide 8000 by 400 we get 20.
And it's obviously less then 60000 ÷ 300= = 200.
20 < 200.
<h3>Therefore, Harrison is absolutely correct.</h3>
Answer:
The amount in checking will always be twice in any week.
Step-by-step explanation:
Let's say, 
represents the week, 
represents the saving account and 
represents the checking account.
Balance in saving account in any week 
Balance in checking account in any week 
Translate the statement into mathematical equation. Remember to use " = " for word "is" in the given statement.
We have to find for 
.
Putting the values, we have:
Which means in each week the amount in checking is twice the amount in savings.
Best Regards!
Recall that
d/dx sech(x) = - sech(x) tanh(x)
d/dx tan⁻¹(x) = 1/(1 + x²)
Then by the chain rule,
dy/dx = - sech(x) tanh(x) / (1 + x²)
