I think i need a bit more information but assuming if this is what you are looking for:
to write 50,000 in exponent form look for its multiples other than 1 and itself and then go from there.
This is what i general do, i pick a divisible number and keep dividing till i get to one.
50,000/2 = 25,000
25,000/5 = 5,000
5,000/10 = 500
500/10 = 50
50/10 = 5
5/5 = 1
so i divided by 2, 5,10, 10, 10, and 5 (three 10s, two 5s and one 2)
then i look if these numbers can be written in smaller divisible numbers (i.e. 10 is 2 and 5)
so 2, 5, (2,5), (2,5) ,(2,5), and 5 as you can see that cannot be divided into smaller numbers so we have thus five 5s and four 2s
therefore 50,000 = 5^5 x 2^4
hope this helps :P
(P.S. it is the best way i can explain online without a whole course on this)
Answer:
yes, it's a function
Step-by-step explanation:
A function relates one input to one output, and it's "only" one output.
What do we know about these angles? Immediately, you might notice that (4y-8)° and (16x-4)° share a line. The same is true of (16x-4)° and (14x+4)°. Any straight line forms what's called a <em>straight angle</em>, which measures 180°, so we know that, since they add up to form a straight angle, (14x+4)° and (16x-4)° must add up to 180°. We can use that fact to set up an equation to solve for x:
(14x+4)+(16x-4)=180
After you solve for x, you should look to solve for y. How can we figure out what y is? If you're familiar with the vertical angle theorem, you'll know that all vertical angles (angles that are directly across from each other diagonally) are equal. So we know that 14x+4=4y-8. You can use the value of x you solved for before to solve this one fairly easily, and then you'll have both values.
Answer:
How many drinks should be sold to get a maximal profit? 468
Sales of the first one = 345 cups
Sales of the second one = 123 cups
Step-by-step explanation:
maximize 1.2F + 0.7S
where:
F = first type of drink
S = second type of drink
constraints:
sugar ⇒ 3F + 10S ≤ 3000
juice ⇒ 9F + 4S ≤ 3600
coffee ⇒ 4F + 5S ≤ 2000
using solver the maximum profit is $500.10
and the optimal solution is 345F + 123S
