Answer:
Below.
Step-by-step explanation:
Letter P is drawn - Impossible because there is no paper with P on it.
Letter drawn is a consonant - Likely because there are 6 out of 8 letters which are consonants.
Letter drawn is a vowel - Unlikely because there are only 2 vowels out of 8 letters.
Letter drawn is one of the first ten letters in the alphabet - Equally likely as there is 4 of these out of a total of 8.
Letter is L - Unlikely as there is only 1 piece of paper with L on it.
The paper draw has one letter on it - Certain as there is a letter on all the pieces of paper.
Answer:(-22)
Step-by-step explanation:
What is the value of h (-2) when h (3) = 32 +1?
hx3=33
33 divided by 3
which means h=11
that makes 11(-2)
=(-22)
<h3>
Answer: 25</h3>
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Explanation:
Check out the image below. I've posted the synthetic division table. The value at the very end of the bottom row is the remainder. By the remainder theorem, this is exactly the value of g(-5).
Recall the remainder theorem says: If you divide p(x) by (x-k), then the remainder is p(k). In this case, k = -5 is our test root which is the value placed in the box on the left.
As a way to check the answer, we can say
g(x) = 2x^2 + 6x + 5
g(-5) = 2(-5)^2 + 6(-5) + 5
g(-5) = 25
So the answer is confirmed.
Let the distance of the first part of the race be x, and that of the second part, 15 - x, then
x/8 + (15 - x)/20 = 1.125
5x + 2(15 - x) = 40 x 1.125
5x + 30 - 2x = 45
3x = 45 - 30 = 15
x = 15/3 = 5
Therefore, the distance of the first part of the race is 5 miles and the time is 5/8 = 0.625 hours or 37.5 minutes
The distance of the second part of the race is 15 - 5 = 10 miles and the time is 1.125 - 0.625 = 0.5 hours or 30 minutes.
Answer:
a cyclist covers a distance of 15km in 2hours calculate his speeda cyclist covers a distance of 15km in 2hours calculate his speeda cyclist covers a distance of 15km in 2hours calculate his speed