Answer:
Option 4
Step-by-step explanation:
The smaller sides must add up to be greater than the largest side so:
1) 6 + 8 < 15
1) No
2) 6 + 9 = 15
2) No
3) 9 + 6 < 16
3) No
4) 9 + 8 > 16
4) Yes
The best estimate would be 2,000 but, the original answer is 2,023
An expression is defined as a set of numbers, variables, and mathematical operations. The given exponential function when simplified will result in 4^(1/8). The correct option is A.
<h3>What is an Expression?</h3>
In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The given exponential expression can be simplified as shown below.
![(4^{\frac14})^{\frac12}](https://tex.z-dn.net/?f=%284%5E%7B%5Cfrac14%7D%29%5E%7B%5Cfrac12%7D)
Using the exponential property (mᵇ)ˣ = mᵇˣ,
= ![4^{\frac14 \times \frac12}](https://tex.z-dn.net/?f=4%5E%7B%5Cfrac14%20%5Ctimes%20%5Cfrac12%7D)
= ![4^{\frac18}](https://tex.z-dn.net/?f=4%5E%7B%5Cfrac18%7D)
Hence, the given exponential expression when simplified will result in 4^(1/8).
Learn more about Expression here:
brainly.com/question/13947055
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This is easy just find out what 5^2 equals which will be 5x5=25 (when dealing with a squared number you will always times it by itself. so if you had 10^2 it would be 100.) so now that we know 5^2 is 25 we then can add the 20 which gets 25+20=45! Hope this helps!
The grocer wants to make a 10 pound mixture
p - pounds of peanuts
c - pounds of cashews
therefore the total pounds should be equal to 10 pounds
p + c = 10 -----> 1)
the cost for ;
peanuts - 4.00 per pound * p pounds = 4p
cashews - 6.50 per pound * c pounds = 6.5c
the price of 10 pounds mixture = 4.75 per pound * 10 pounds = 47.5
4p+6.5c = 47.5 ---> 2)
to solve for p and c lets use simultaneous equations
p + c = 10 -----> 1)
4p+6.5c = 47.5 ---> 2)
multiply 1st equation by 4
4p + 4c = 40 ---> 3)
subtract 3rd equation from the 2nd
2.5c = 7.5
c = 3
substituting c= 3 in 1st equation
p+c = 10
p+3 = 10
p = 7
therefore 3 pounds of cashews and 7 pounds of peanuts are needed to make the mixture