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netineya [11]
3 years ago
10

What is the value of the expression when a is 5 and b is 3 4a^2-5b^2

Mathematics
1 answer:
docker41 [41]3 years ago
3 0
So that gives you
4×5^2-5×3^2
First you have to do the exponents
5^2=25
3^2=9
Now you have 4×25-5×9
4×25=100
5×9=45
100-45=55
55 is the answer.
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Suppose that p is the probability that a randomly selected person is left handed. The value (1-p) is the probability that the pe
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Answer:

a) 1/2

b) 250

Step-by-step explanation:

The start of the question doesn't matter entirely, although is interesting to read. What we are trying to do is find the value for p such that 1000p(1-p) is maximized. Once we have that p, we can easily find the answer to part b.

Finding the value that maximizes 1000p(1-p) is the same as finding the value that maximizes p(1-p), just on a smaller scale. So, we really want to maximize p(1-p). To do this, we will do a trick called completing the square.

p(1-p)=p-p^2=-p^2+p=-(p^2-p)=-(p^2-p+1/4)-(-1/4)=-(p-1/2)^2+1/4.

Because there is a negative sign in front of the big squared term, combined with the fact that a square is always positive, means we need to find the value of p such that the inner part of the square term is equal to 0.

p-1/2=0\\p=1/2.

So, the answer to part a is \boxed{1/2}.

We can then plug 1/2 into the equation for p to find the answer to part b.

1000(1/2)(1-1/2)=1000(1/2)(1/2)=1000*1/4=250.

So, the answer to part b is \boxed{250}.

And we're done!

3 0
2 years ago
25 FREE PIONTS TO WHOEVER ANSWERS FIRST! LOVE YALL!
faltersainse [42]
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A basketball player scored 26 times during one game. She scored a total of 51 points, two for each two-point shot and one for ea
gulaghasi [49]
She scored alot but she made 25 two point shots and one free throw

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Uncle rod used 1/3 of a cup of brown sugar to make 1/8 of a container of barbeque sauce. What is the unit rate of brown sugar pe
IceJOKER [234]
Divide the two fractions
4 0
3 years ago
Help pleaseee URGENT!!!!!!!show work
sdas [7]

Answer:

look below.

Step-by-step explanation:

When there's a letter, it represents a variable. You need to find the value (number) of this variable. This can be done by trying to isolate (put it by itself) the variable. So now, here is how to do it:

1) -2j + 6 = 2j - 8

-2j - 2j = - 8 - 6

-4j/4 = -14/4

j = 14/4

j = 7/2

2) 4h + 6 = 2h - 8

4h - 2h = - 8 - 6

2h/2 = - 14/2

h = -7

3) 9w + 9 = 3w - 15

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w = -4

4) 45 = -9(e + 8)

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45 + 72 = -9e

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e = -13

5) 35 = -7t

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6) 12k + 13 = 8k + 33

12k - 8k = 33 - 13

4k/4 = 20/4

k = 5

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2 years ago
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