Answer:
96feet
Step-by-step explanation:
Given the height, in inches, of a spray of water is given by the equation ℎ(x)=160−16x^2
x is the number of feet away from the sprinkler head the spray
To get the height of the spray 2 feet away from the sprinkler head, we will simply substitute x =2 into the function and et the height h as shown;
From the equation
ℎ(x)=160−16x^2
h(2) = 160-16(2)²
h(2) = 160-16(4)
h(2) = 160-64
h(2) = 96feet
Hence the height will be 96feet if the spray is 2feet away from the sprinklers head
Answer:
The ratio of green apples to red apples is .
Step-by-step explanation:
Given,
Number of red apples = 21
Number of green apples = 18
We have to find out the ratio of green apples to red apples.
Solution,
For finding the ratio we have to divide the number of green apples to the number of red apples.
So, we can frame the above sentence as;
Ratio = number of green apples/number of red apples
Now substituting the values, we get;
Ratio= 18/21 = 6/7
Hence The ratio of green apples to red apples is . 6/7
Answer:
x = 4
which agrees with the third listed answer among the given options
Step-by-step explanation:
We can re-write the logarithmic equation using the properties of logarithms:

Therefore, the arguments of the log functions must also be equal (and we can solve for "x" by noticing that this expression is the perfect square of a binomial:

and for this equation to verify, x must be 4
Answer:
105 ft.
Step-by-step explanation:
5 x 12 = 60
So 5 feet is 60 inches.
60 + 3 = 63
That makes the ridge 63 inches long.
When the lion went up the ridge, it traveled 63 inches.
When the lion went back down the ridge, it traveled another 63 inches, totaling 126 inches.
The lion did this 10 times.
126 x 10 = 1260
Divide 1260 by 12 to find the measurement in feet.
1260 ÷ 12 = 105
Answer:
48 is 8 times as many as 6.
4 times as many as 12 is 48.
1.75 is 14 times as many as 8.
Step-by-step explanation: