Answer:
4
Step-by-step explanation:
because you subtract it.
Answer:
<em>Peter now has 54 baseball cards</em>
Step-by-step explanation:
<u>Percentages</u>
Assume Peter had x baseball cards in his collection. The 35% of his initial collection is
35 * x / 100= 0.35x
We know that those 14 new baseball cards represent a 35% of his previous collection, therefore we can set a simple equation
0.35x=14
When we solve for x, we'll know how many baseball cards Peter had before
x=14 / 0.35 = 40
Peter had 40 cards, he added 14 new baseball cards, so he now has 40+14=54
Peter now has 54 baseball cards
Answer:
(m³/3 + 5m/2 + 3)pi
Step-by-step explanation:
pi integral [(f(x))² - (g(x))²]
Limits 0 to 1
pi × integral [(2+mx)² - (1-mx)²]
pi × integral[4 + 4mx + m²x² - 1 + 2mx - m²x²]
pi × integral [m²x² + 5mx + 3]
pi × [m²x³/3 + 5mx²/2 + 3x]
Upper limit - lower limit
pi × [m²/3 + 5m/2 + 3]
Verification:
m = 0
[pi × 2² × 1] - [pi × 1² × 1] = 3pi
[m³/3 + 5m/2 + 3]pi
m = 0
3pi
Answer:
see below
Step-by-step explanation:
you can use cosine law
(3 sqrt3)^2 + (4 sqrt3)^2 - 2(3 sqrt3)(4sqrt3)cos60 = AC^2
AC = sqrt39
Step-by-step explanation:
8/3 cups of sugar is needed to make 16 cookies.
For 90 cookies, we will need 8/3 * 90/16 = 15 cups of sugar.
