So, we first want to think about PEMDAS - parentheses (in this case, brackets first), exponents (that 2³), then multiplication division addition subtraction, from left to right.
First, we take a look at what's inside the bracket:
2³[(15-7)(4-2)] ← Solve the stuff inside the bracket first. Now, we look at parentheses, and solve the things inside the parentheses
2³[(8)(2)] ← Multiply them together since they are inside the bracket
2³[16] ← Now that the bracket is taken care of, we look at the exponent. 2³=8, so:
8*16 ← Now multiply...
The answer is <u>128</u>
Answer:
M(t) = M(16 - 2·t)
Step-by-step explanation:
The function is just formed by using the concept of composite functions.
B is cups of blueberries, and n is cups of blueberries,
So by substituting values the required equations formed are given by :
B(t) = 2·(8 - t)
M(n) = 12·n
n = B(t)
M(t) = M(n)
= M(B(t))
= M(2·(8 - t))
= M(16 - 2·t)
Therefore, this is the required function muffins M
Answer:
pq⁴r⁴ is the answer for this question
Answer:
6mph
Step-by-step explanation:
In this question, we are asked to calculate the speed at which Carol jogs, given that she has a particular speed when she jogs greater than when she walks.
Firstly, we should understand that she is taking the same distance, whether she jogs or walks.
Now, let’s say her jogging rate is x mph, this means that her walking rate would be (x - 4)mph. This is because her jogging rate is 4mph faster than her walking rate.
The total distance covered when jogging is thus 10/60 * x, while her total distance covered when walking would be 30/60 * (x-4)[we convert the time to hours]
We equate both since they are same distance:
x/6 = (x -4)/2
2x = 6(x - 4)
2x = 6x - 24
4x = 24
x = 6mph