Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
Let the number of ounces of
A = x
B = y
A scientist has two solutions, which she has labeled Solution A and Solution Each contains salt. She knows that Solution A is 40% salt and Solution B is 55% salt. She wants to obtain 90 ounces of a mixture that is 45% salt. How many ounces of each solution should she use?
Our system of equations is given as
x + y = 90.... Equation 1
x = 90 - y
40% × x + 55% × y = 45% × 90 ounces
0.4x + 0.55y = 40.5....Equation 2
We substitute 90 - y for x in Equation 2
Total - book $ - magazine $
Which is equal to:
Total + (-book $) + (-magazine $)
$35 + (-$7) + (-$5)
ANSWER: (C) $35 + (-$7) + (-$5)
Hope this helps! :)
Answer:
6
Step-by-step explanation:
When dividing by a fraction flip it over and multiply
2 / (1/3) = 2 * 3/1
2 / (1/3) = 6/1
2 / (1/3) = 6
Answer:
Cos x = 1 - 
+ 
- 
+ ...
Step-by-step explanation:
We use Taylor series expansion to answer this question.
We have to find the expansion of cos x at x = 0
f(x) = cos x, f'(x) = -sin x, f''(x) = -cos x, f'''(x) = sin x, f''''(x) = cos x
Now we evaluate them at x = 0.
f(0) = 1, f'(0) = 0, f''(0) = -1, f'''(0) = 0, f''''(0) = 1
Now, by Taylor series expansion we have
f(x) = f(a) + f'(a)(x-a) + 
+ 
+ 
+ ...
Putting a = 0 and all the values from above in the expansion, we get,
Cos x = 1 - + - + ...
