Answer:
Robin will have 12 dimes in his pocket.
Step-by-step explanation:
Since;
D = One dime = $0.1
P = One penny = $0.01
Amount to have less = $1.08
From the above, when a dime is changed to a penny, the amount held by Robin will decrease by $0.09. That is,
Decease in holding = D - P = $0.1 - $0.01 = $0.09
Therefore, we have:
Number of dimes = Amount to have less / Decease in holding = $1.08 / $0.09 = 12 dimes
Therefore, Robin will have 12 dimes in his pocket.
Answer:
Hence, Grasshopper will land on the ground after 1.5 sec.
Step-by-step explanation:
It s given that:
The height, in feet, of the grasshopper above the ground after t seconds is modeled by the function:

Now we are asked to find:
In how many seconds will the grasshopper land on the ground?
i.e. we have to find the value of t such that h(t)=0
i.e.

i.e. we need to find the roots of the given quadratic equation.
On solving the quadratic equation or plotting it's graph we could observe that the point where h(t)=0 are:

As time can't be negative hence we will consider:

Hence, grasshopper will land on the ground after 1.5 sec.
Answer:
-37 subtract -53
-53 subtract -37 = -16
Step-by-step explanation:
The answer which we found by inspection is
B. f(x) = -1/2x + 3
To find the area of a prism, you calculate the area of the cross-section and multiply that number by the length. The cross-section of this prism is a trapezium, and the formula for this is

.
Insert your given numbers to find out the area of this prism's cross-section:

Now, multiply 90 by the length, 10cm, to find out the volume of the prism;
90×10=900cm³
Therefore, your answer id the third option.