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marta [7]
3 years ago
15

17. Mrs. Marshall baked 120 cookies. She decided

Mathematics
1 answer:
agasfer [191]3 years ago
8 0

Answer:

20 cookies

Step-by-step explanation:

120*6=20

20 = 1/6 of 120

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Lim x--> 0 (e^x(sinx)(tax))/x^2
Tom [10]

Make use of the known limit,

\displaystyle\lim_{x\to0}\frac{\sin x}x=1

We have

\displaystyle\lim_{x\to0}\frac{e^x\sin x\tan x}{x^2}=\left(\lim_{x\to0}\frac{e^x}{\cos x}\right)\left(\lim_{x\to0}\frac{\sin^2x}{x^2}\right)

since \tan x=\dfrac{\sin x}{\cos x}, and the limit of a product is the same as the product of limits.

\dfrac{e^x}{\cos x} is continuous at x=0, and \dfrac{e^0}{\cos 0}=1. The remaining limit is also 1, since

\displaystyle\lim_{x\to0}\frac{\sin^2x}{x^2}=\left(\lim_{x\to0}\frac{\sin x}x\right)^2=1^2=1

so the overall limit is 1.

4 0
3 years ago
What is the difference between the solution of a linear
Snowcat [4.5K]
A system of linear inequalities in two variables consists of at least two linear inequalities in the same variables. The solution of a linear inequality is the ordered pair that is a solution to all inequalities in the system and the graph of the linear inequality is the graph of all solutions of the system.
4 0
3 years ago
Calculate the average rate of change for the function f(x)=x^4+3x^3-5x^2-2, from x=-1 to x=1
PSYCHO15rus [73]

1

∫ f(x) dx = x⁵/5 + 3x⁴/4 - 5x³/3

-1

[1⁵/5 + 3⁴/4 - 5³/3] - [ -1⁵/5 -3⁴/4 +5³/3]

plug that into your calculator and that's your rate of change

5 0
3 years ago
The height of a stack of DVD cases is proportional to the number of cases in the stack. The height of 6 DVD cases is 114 mm.
Zanzabum
OK so my answer is from what you’ve just explained that means you multiply the six and the 114 is 684 so that means if you have to do that to 13 of them that means 684×13 is what your equation would be in the answer to 684×13 is 8892
8 0
2 years ago
Read 2 more answers
The area of the rhombus is 20 square inches. What is x?
maw [93]

1/3 ft. = 4 inches
x \times 4 = 20 {inches}^{2}  \\ x = 20 \div 4 \\ x = 5
The answer is 5 inches.

Hope this helps.
3 0
3 years ago
Read 2 more answers
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