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Talja [164]
3 years ago
14

A recipe that makes 8 jumbo blueberry muffins calls for 1 1/2

Mathematics
2 answers:
ale4655 [162]3 years ago
6 0
A dozen is 12 jumbo muffins, so 3 dozen is 36 muffins. We Know how much sugar is needed for 8bis equal to 4. So we need 4Xs the previous amount. 1.5 tspx4=6 teaspoons
artcher [175]3 years ago
5 0
The dozen is 36...36/8= 4.5. So 1.5x4.5=6.75 which converts to 6 3/4 teaspoons
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3 years ago
Question 1 Unsaved
Andrew [12]

The average of the given base lengths is the length of the midsegment:

... (72 + 104)/2 = 176/2 = 88

8 0
3 years ago
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7 0
3 years ago
Find the critical numbers of the function f(x) = x6(x − 1)5 what does the first derivative test tell you that the second derivat
patriot [66]
The given function is f(x) = x⁶(x-1)⁵

The first derivative is
f'(x) = 6x⁵(x-1)⁵ + 5x⁶(x-1)⁴
       = x⁵(x-1)⁴(6x - 6 + 5x)
       = x⁵(x-1)⁴(11x - 6)
The critical values are the zeros of f'(x). They are
x = 0, 6/11, and 1.
The critical values indicate that turning points exist for f(x) at the critical points. However, we do not know the nature of the turning points.

Write the first derivative in the form f'(x) = (x-1)⁴(11x⁶ - 6x⁵).
The second derivative is
f''(x) = 4(x-1)³(11x⁶ - 6x⁵) + (x-1)⁴(66x⁵ - 30x⁴)
        = (x-1)³(44x⁶ - 24x⁵ + 66x⁶ - 30x⁵ - 66x⁵ + 30x⁴)
        = (x-1)³(110x⁶ - 120x⁵ + 30x⁴)
        = 10x⁴(x-1)³(11x² - 12x + 3)
The sign of f''(x) at the critical values tell us the nature of the turning point.

f''(0) = 0, therefore a point of inflection exists at x = 0.
f''(6/11) > 0, therefore a local minumum exists at x = 6/11.
f''(1) = 0, therefore a point of inflection exists at x=1.

The graphs shown below confirm these results.

8 0
3 years ago
Work out the circumference of this circle.
tigry1 [53]
C=pid
Since d=9m and pi=3.142, C=3.142*9m=28.278
Rounded to 1 decimal point =28.3
3 0
3 years ago
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