D. 80
If you expand the entirety of the polynomial, you get the following:
32x^5+80x^4y+80x^3y^2+40x^2y^3+10xy^4+y^5
Answer:
7 miles
Step-by-step explanation:
Distance = Rate times Time
Distance #1: (15 mph)(12/60 hr) = 3 miles
Distance #2: (12 mph)(20/60 hr) = 4 miles
Total distance ridden = 7 miles
Answer:
$1,823.2
Step-by-step explanation:
Simple interest is calculated using the formula
I = P X R X T
where I is the interest amount
P is the principal amount: 45,580.
R is the interest rate which is 4 %, or 0.04%
T is time, One year.
I = $45,580 x 0.04 x 1
I = $1,823.2 x 1
I = $1,823.2
Answer:
Angle C = 45°
Step-by-step explanation:
Hello There!
If you didn't know opposite angles are congruent in parallelograms
So ∠A≅∠C and ∠B≅∠D
So if ∠A = 45° then ∠C also equals 45°
We know that speed (rate) is equal to distance over time.
The current unit of distance is miles, and we want to convert it to feet. The unit of time is hours, and we want seconds. In order to do this, we need to create a conversion factor.
Since
and
, we will use these are our conversion factors.
The goal in a dimensional analysis problem like this is for your units to work out. Remember, we want feet per second.
We write
.
You may wonder why in the conversion factor, we chose to put feet over miles and hours over seconds. This is again because we want our units to cancel. If you have one unit the numerator and the same one in the denominator, the units cancel out.
In sum, the answer is
22 ft/s.