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son4ous [18]
4 years ago
13

What is ...

Mathematics
1 answer:
Brut [27]4 years ago
8 0
\dfrac{14+a}{13}=12
14+a=13\cdot 12
14+a=156
a=156-14
\boxed{a=142}
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The possible permutations are 6P3 which is 120. Out of those there are 7 ways to get 6 with three dice. So P(6)=7/120
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3 years ago
Need help anyone can help
Ket [755]

Answer:

b

Step-by-step explanation:

because

7 0
2 years ago
Use f’( x ) = lim With h ---> 0 [f( x + h ) - f ( x )]/h to find the derivative at x for the given function. 5-x²
beks73 [17]
<h2>Answer:</h2>

The derivative of the function f(x) is:

                 f'(x)=-2x

<h2>Step-by-step explanation:</h2>

We are given a function f(x) as:

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f(x+h)=5-(x+h)^2\\\\i.e.\\\\f(x+h)=5-(x^2+h^2+2xh)

( Since,

(a+b)^2=a^2+b^2+2ab )

Hence, we get:

f(x+h)=5-x^2-h^2-2xh

Also, by using the definition of f'(x) i.e.

f'(x)= \lim_{h \to 0} \dfrac{f(x+h)-f(x)}{h}

Hence, on putting the value in the formula:

f'(x)= \lim_{h \to 0} \dfrac{5-x^2-h^2-2xh-(5-x^2)}{h}\\\\\\f'(x)=\lim_{h \to 0} \dfrac{5-x^2-h^2-2xh-5+x^2}{h}\\\\i.e.\\\\f'(x)=\lim_{h \to 0} \dfrac{-h^2-2xh}{h}\\\\f'(x)=\lim_{h \to 0} \dfrac{-h^2}{h}+\dfrac{-2xh}{h}\\\\f'(x)=\lim_{h \to 0} -h-2x\\\\i.e.\ on\ putting\ the\ limit\ we\ obtain:\\\\f'(x)=-2x

      Hence, the derivative of the function f(x) is:

          f'(x)=-2x

3 0
3 years ago
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Answer:

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5 0
3 years ago
In August, Emily's Clothing Store sold 98 long sleeve shirts with the ratio of short sleeve to long sleeve being 3:7. How many s
Gnoma [55]

Answer:

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Step-by-step explanation:

The computation of the number of short sleeves sold is shown below:

Given that

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And, the ratio of short sleeve to long sleeve is 3:7

So, the number of short sleeves sold is

= 98 × 3 ÷ 7

= 42

Hence, the number of short sleeves sold is 42

6 0
3 years ago
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