Answer:
58.09 degrees C.
Step-by-step explanation:
T(m)=21+74*10^-0.03m
When m = 10 minutes:
T(10) = 21 + 74*10^(-0.03*10)
= 21 + 74*10^(-0.3)
= 58.0879
First question: -2
Answer: 2(cos 180° + i sin 180°)
2(-1 + i 0) = -2
Second question: -2i
Answer: 2(cos 270° + i sin 270°)
2(0 + i (-1)) = -2i
Answer:
the answer is 2.1
Step-by-step explanation:
using a calculator:
1. type in 4.2
2. multiply 4.2 by 1/2
3. the answer will then be shown as 2.1
Answer:
(x+1)(x-14)(x+3)
Step-by-step explanation:
The first step in factorising polynomials is to find the smallest factor first. The way to do this is with trial and error. Lets see if x+1 is a factor.
According to the factor theorem, (x-a) is a factor of P(x) if and only when P(a) = 0
In this case we will use f(x) = ((x)^3)-((10x)^2)-53x-42
f(-1) = 0
Therefore (x+1) is a factor of the polynomial.
Now we divide the polynomial with (x+1) via long division to get (x^2)-11x-42.
We now factorise (x^2)-11x-42 using whatever method you would like. I'm going to use the AC method, where we find a number that multiplies to AC and adds to B, In this case AC = -42, and B = -11.
Therefore (x^2)-11x-42 factosied is (x-14)(x+3)
Now merge (x+1) with (x-14)(x+3)
The final answer is (x+1)(x-14)(x+3)
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Answer:
Step-by-step explanation:
Original cost = $32
Discount = 30% of 32
Selling price = 32 - 9.60 = $22.40
Tax = 6.75% of 22.40
= $ 1.51
Total cost with discount and tax = 22.40 - 1.51 = $ 20.89