Answer:
A. 2^11
Step-by-step explanation:
(They are basically asking what's 2^4 × 2^7, but with more words.)
I usually do each exponent individually:
2^4 is the same as 2 × 2 × 2 × 2 = 16 (or you could have read the text to figure that out)
2^7 is the same as 2 × 2 × 2 × 2 × 2 × 2 × 2 = 128
Then just multiply 128 and 16 to get 2,048, and see which option also gives you 2,048.
BUT, you can also:
(Combine the exponents together to get your answer. Just remember that if it's multiplication you add them, and if it's division you subtract them.)
2^4 × 2^7
4 + 7 = 11
2^11 (This equals 2,048 btw. You don't even have to check all the options to get the answer).
Hope this helps friend :)
The last part I learned from another user, while answering one of your other questions. I personally find this mind blowing, lol.
9514 1404 393
Answer:
160
Step-by-step explanation:
The problem statement tells us ...
(# in museum) = 4 × (# waiting)
(# in museum) = 4 × 40 . . . . . . . . . . . . the number waiting is 40
# in museum = 160
Answer:

Step-by-step explanation:
You need 2 things in order to solve this equation: a trig identity sheet and a unit circle.
You will find when you look on your trig identity sheet that

so we will make that replacement, getting everything in terms of sin:

Now we will get everything on one side of the equals sign, set it equal to 0, and solve it:

We can factor out the sin(theta), since it's common in both terms:

Because of the Zero Product Property, either
or

Look at the unit circle and find which values of theta have a sin ratio of 0 in the interval from 0 to 2pi. They are:

The next equation needs to first be solved for sin(theta):
so
and

Go back to your unit circle and find the values of theta where the sin is -1/2 in the interval. They are:

Answer:
Henry's baseball practice starts at 2:00, will last an hour and forty-five minutes, and will end at 3:45.
Step-by-step explanation:
2 + 1 = 3
3 + 45 minutes = 3 : 45
Answer:
267.5
302.5
372.5
600
Step-by-step explanation:
Simple interest
PV(1+it)
1 year:
250(1+.07)
267.5
3 years:
250(1+.07*3)
302.5
7 years:
250(1+.07*7)
372.5
20 years:
250(1+.07*20)
600