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Pachacha [2.7K]
3 years ago
14

Rewrite the following in the form log(c). log(10) - log(2)

Mathematics
1 answer:
serg [7]3 years ago
5 0

Answer:

log 5

Step-by-step explanation:

We can rewrite this by using a property of logs

log a - log b = log (a/b)

log(10) - log(2)

log(10/2)

log 5

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A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the
7nadin3 [17]

Answer:

Widgets should be sold by $38.88 to maximize the profit.

Step-by-step explanation:

Vertex of a quadratic function:

Suppose we have a quadratic function in the following format:

f(x) = ax^{2} + bx + c

It's vertex is the point (x_{v}, y_{v})

In which

x_{v} = -\frac{b}{2a}

y_{v} = -\frac{\Delta}{4a}

Where

\Delta = b^2-4ac

If a<0, the vertex is a maximum point, that is, the maximum value happens at x_{v}, and it's value is y_{v}.

In this question:

The profit is given by:

y = -9x^2 + 700x - 6005

Which is a quadratic function with a = -9, b = 700, c = -6005

The maximum profit happens at the x of the vertex. Thus

x_{v} = -\frac{b}{2a} = -\frac{700}{2(-9)} = 38.88

Widgets should be sold by $38.88 to maximize the profit.

7 0
2 years ago
Use the given triangles to evaluate the following expression. If​ necessary, express the value without a square root in the deno
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8 0
3 years ago
What is the scale factor of ABC to A DEF?
vampirchik [111]

Answer:

6

Step-by-step explanation:

All sides of triangle EFD have x6 of BAC.

E.g.: BA = 2. ED = 2 x 6 = 12

8 0
3 years ago
I thought of a number. I added 15, tripled it and then subtracted 3 from the result. I got 42. What was my number?
Natasha_Volkova [10]

Answer:

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Step-by-step explanation:

15 x 3 = 45 - 3 = 42

4 0
2 years ago
A bag contains 13 dark chocolates, 16 white chocolates, and 11 milk chocolates. Maggie’s class teacher, Jill, is very strict, an
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First, we need to know the amount of the total chocolates, which is :

13          +       16                  +              11                =  40
                  White                               Milk
 
 The probability that she randomly picks either white chocolate or milk is

= (16 + 11)/40
 
= 27/40

Hope this helps 
 
3 0
3 years ago
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