Answer:
12 coins
Step-by-step explanation:
Points scored by collecting 7 coins = 581
Number of coins required to collect 996 points
Let Number of coins = c
7 coins = 581 points
c coins = 996 points
Cross multiply :
581 * c = 996 * 7
581c = 6972
Divide both sides by 581
581c / 581 = 6972 / 581
c = 12
Hence, number of coins required to collect 996 points is 12
No, there is not a product rule for integration.
To integrate (2x - 1)(6x + 5), start expanding the product:
(2x - 1)(6x + 5) = 12x^2 + 10x - 6x - 5 = 12x^2 + 4x - 5.
Now, I guess you know how to integrate that:
∫ (12x^2 + 4x - 5) dx = ∫12x^2 dx + ∫4x dx + ∫ (-5) dx = 4x^3 + 2x^2 - 5x + C
Answer:
d) (-3/2, -1/2)
Step-by-step explanation:
The midpoint (M) between two given points is the average of their coordinate values:
M = (A + B)/2 = ((-8, 1) +(5, -2))/2 = (-3, -1)/2
M = (-3/2, -1/2) . . . . . matches choice D
Answer:
The measure of the shortest side is 851 miles
Step-by-step explanation:
Let
x ----> the measure of the shortest side
y ---> the measure of the middle side
z ---> the measure of the longest side
we know that
The perimeter of triangle is equal to


so
----> equation A
the shortest side measures 71 mi less than the middle side
so
----> equation B
the longest side measures 372 mi more the the middle side
so
----> equation C
substitute equation B and equation C in equation A

solve for y

Find the value of x

therefore
The measure of the shortest side is 851 miles
Answer:
0.58
Step-by-step explanation:
hundredths place is 2 after the decimal
any number 5 or higher will round up
so the 7 rounds up to a 8
Hope this helps!