Find a formula for the described function. A rectangle has perimeter 10 m. Express the area A of the rectangle as a function of the length, L, of one of its sides.
Answers
Answer:
The area of the rectangle is .
Step-by-step explanation:
The perimeter of a rectangle is
where, L is length and W is width.
It is given that perimeter of a rectangle is 10m.
Divide both sides by 2.
Subtract L from both sides.
Area of a rectangle is
Substitute W=(5-L) in the above formula.
Therefore, the area of the rectangle is .
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Can someone help me please
PLEASE HELP ASAP WILL MARK BRAINLIEST Tilda buys a shirt for d dollars. She uses a $50 gift card and receives $22.50 in change Write an equation for this.
A thief steals an ATM card and must randomly guess the correct 6 digit PIN code from a 40 keypad repetition of digits is allowed what is the probability of a correct guess on the first try the number of possible codes is what
What is (7*7) + 39 - 5 * 8
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Answer:
B
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
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Answer:
8 years
Step-by-step explanation:
Shaniquas age is given as 36. This age is going to help us to find the rest.
Pablo is said to 1/3 of Shaniquas age
= 1/3 of 36 = 36/3 = 12
Pablo is 12
Danny is younger than pablo by 1
12 - 1 = 11
Danny is 11
Terrell is younger than danny by 3
11-3 = 8
Terrell is 8 years old
Answer:
I think ur profile pic is cute
Step-by-step explanation:
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B.1/3(18x)
c.1/3(6x+12)
d.2/3(3x+6)
e.2(x+4)
f.4(1/2x+1)
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Answer:
A.6x
Step-by-step explanation:
hope i helped!! ...............
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The amount A resulting from a principal amount P being invested at rate r compounded continuously for time t is given by
... A = P·e^(rt)
FIll in your given values and solve for P.
... 25000 = P·e^(0.0525·12) = P·e^0.63
... P = 25000/e^0.63 ≈ 13314.80 . . . . . divide by the coefficient of P
The amount that must be invested is $13,314.80.
An initial investment (P) compounded continuously with a rate of interest (r) in time (t) will grow to amount (Q) is given by:
Q = P * e^(rt)
Q=25000, r=0.0525, t=12
25000 = P * e^(0.0525*12)
1.8776P = 25000
P = 13314.8
Answers
Answer:
7.56 quarts of antifreeze in the resulting mixture, and 37.8% of the resulting mixture is antifreeze.
Step-by-step explanation:
8 * .45= 3.6 quarts antifreeze
12 * .33= 3.96 quarts antifreeze
3.6 + 3.96= 7.56 quarts of antifreeze in the resulting mixture
7.56 quarts/ 20 quarts (12 + 8) * 100= 37.8%
Final answer:
In the combined solution, there are 7.56 quarts of anti-freeze, which equals 37.8% of the total solution.
Explanation:
To solve this problem, we first need to calculate how many quarts of anti-freeze are in each solution, then add them together.
First, we have 8 quarts of a solution that is 45% anti-freeze. To find how many quarts of the solution is anti-freeze, we multiply the total amount by the percentage: 8 quarts * 0.45 = 3.6 quarts anti-freeze.
Next, we have 12 quarts of a solution that is 33% anti-freeze. Doing the same calculation as before, 12 quarts * 0.33 = 3.96 quarts anti-freeze.
Now, to find the total quarts of anti-freeze in the combined solution, we simply add the two amounts together: 3.6 quarts + 3.96 quarts = 7.56 quarts.
The total amount of solution is 8 quarts (from the first solution) + 12 quarts (from the second) = 20 quarts.
To find the percent of anti-freeze in the final solution, we divide the total amount of anti-freeze by the total amount of solution: (7.56 quarts / 20 quarts) * 100 = 37.8%. Therefore, the resulting mixture is 37.8% anti-freeze.
Learn more about Percent Composition here:
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