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Lady bird [3.3K]
3 years ago
5

John wants to simplify the expression (5+3) to the power of 2. As a first step, he writes 5 to the power of 2+3to the power of 2

. Will he get the correct value for the expression? If not, what should he do to simplify the expression
Mathematics
1 answer:
Anna35 [415]3 years ago
6 0
No, he needs to do 5(to the power of 2) plus 3(to the power of 2)
this should give him 25 plus 9 = 34
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If one of the roots of the equation x²- 4x + k=0exceeds the other by 2, then find the roots and determine the value of k
BaLLatris [955]

Answer:

roots: 1 and 3

k = 3

Step-by-step explanation:

2 roots: p and p+2

(x-p) (x-p-2) = x² - 4x + k

x² -2px -2x + p² + 2p = x² - 2 (p+1)x + (p² + 2p) = x² -4x + k

-2 (p+1) = -4

p+1 = 2

p = 1   ... root 1

p' = 1+2 = 3   ... root 2

k = p² + 2p = 3

check: (x-1) (x-3) = x² - 4x + 3 = x² - 4x + k

6 0
3 years ago
Cole ride his bike for 45 miles at a rate if 15 miles per hour. How long did it take him to ride in 40 miles? PLEASE HELP
tatiyna
15x=45
45/15 =3
X=3
45 miles in 3 hours

How long did it take for 40 miles?

15x=40
40/15 = 2.6666667

15 x 2= 30
15 x 2.5 = 37.5
15 x 2.6 = 39
15 x 2.7 = 40.5
1 hour equals 60 mins

Answer:
It took Cole about 2 hours and 6 mins to ride 40 miles.
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3 years ago
You have a coupon good for $6 off the price of any large pizza. You also get a 20% discount on any pizza if you show your studen
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How much is the pizza? it depends on the price
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4 years ago
Anyone want to help me out?
zhuklara [117]
First answer haha~ I think I answered all your questions so far ;)
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You want to find out how sleep deprivation affects motor performance. To study this, you have sleep-deprived subjects (such as p
marysya [2.9K]

Answer:

179.5 - 180.5

Step-by-step explanation:

Time is a continuous variable. The minimum sleep time per night per subject here, is given as 1 minute.

Larger sleep times could be 1.08 minutes, 2.99 minutes, and other continuous/infinite values. Remember there are 60seconds in a minute and in-between seconds, there are milliseconds. So time is a continuous variable.

In this case though, our measurement of time is given in whole number units (integers). Our precision of measurement is 1 unit. We have an observed value of 180 minutes (the first subject's sleep time). The real limits of this value are 179.5 to 180.5

7 0
3 years ago
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