Answer:
7 recipes could be made with cups of sugar.
Step-by-step explanation:
Quantity of sugar required for a recipe cups
Quantity of sugar required in a pantry cups
Here,
So,
Quantity of sugar required in a pantry cups
Number of recipes that could be made
Therefore, 7 recipes could be made with cups of sugar.
Answer:
f(x) = x^2 (x + 7i)(x - 7i)
Step-by-step explanation:
Factoring out x^2 gives ...
f(x) = x^2(x^2 +49)
The factor with 49 can be considered to be the difference of two squares, where one of the squares is -49. Then its square root is ±7i, and the factorization of that term is ...
x^2 +49 = (x +7i)(x -7i)
So, the overall factorization of f(x) is ...
f(x) = x^2(x +7i)(x -7i)
Sin (x + y) = sin x cos y + cos x sin y
<span>sin 255 </span>
<span>= sin (210 + 45) </span>
<span>= sin 210 cos 45 + cos 210 sin 45 </span>
<span>= (-1/2)(√(2)/2) + (-√(3)/2)(√(2)/2) </span>
<span>= -√(2)/4 + (-√(6)/4) </span>
<span>= -√(2)/4 - √(6)/4 </span>
<span>= (-√(2) - √(6)) / 4</span>
Answer:
52
Step-by-step explanation:
Given that :
Mean (m) = 78
Standard deviation (s) = 13
Score that is 2 standard deviations below the mean
Using the relation :
Zscore = (x - m) / s
2 standard deviations below the mean means a Zscore of - 2
Hence,
-2 = (x - 78) / 13
Cross multiply
-2 * 13 = x - 78
-26 = x - 78
x = - 26 + 78
x = 52
Score which is 2 standard deviations below the mean is 52
Answer; -3/4
Explanation;
y = mx + b is the slope intercept form of a line where m is the slope and b is the y intercept
For a line in the form of y = mx + b , the slope is m and y intercept is b
M perpendicular = -3/4