<span>-4x^2+3x+1=0
D = b</span>² - 4ac = 3² - 4 * (-4) * 1 = 9 + 16 = 25
D>0 ⇒ <span>this equation has two solutions.</span>
Answer:
Step-by-step explanation:
A box contains four cards: One card is black on both sides, one card is red on both sides and two cards are black on one side and red on the other side. One card is selected at random and you can see only one side.i) If the side you see is black, what is the probability that the other side is black?ii) If the side you see is black, what is the probability that the other side is red?
Given that:
Number of cards = 4
x = Black on both sides = 1
y = Red on both sides = 1
z = Black on one side, red on one side = 2
.i) If the side you see is black, what is the probability that the other side is black = b
Probability of black
P(x) = 1/4 ; p(b|x) = 1
P(y) = 1/4 ; p(y|x) =
Answer: 7/8
Step-by-step explanation:
You can change all the fractions to have equivalent denominators.
The Least Common Denominator of 1 1/4 and 3/8 is 8. Now we can change the fractions.
1 1/4 = 1 2/8 = 10/8.
3/8 = 3/8.
Now we can subtract. Subtract the numerators of the first fraction from the numerators of the second fraction, and the denominators oft he first fraction to the denominators of the second fraction.
10/8 - 3/8 = 7/8.
Therefore, 1 1/4 - 3/8 = 7/8; the fourth answer.
Answer:
The approximate temperature of the pan after it has been away from the heat for 9 minutes is 275.59°F.
Step-by-step explanation:
The formula for D, the difference in temperature between the pan and the room after t minutes is:
Compute the approximate difference in temperature between the pan and the room after 9 minutes as follows:
Then the approximate temperature of the pan after it has been away from the heat for 9 minutes is:
D = P - R
206.59 = P - 69
P = 206.59 + 69
P = 275.59°F
Thus, the approximate temperature of the pan after it has been away from the heat for 9 minutes is 275.59°F.
