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notka56 [123]
3 years ago
8

What is 4.345 × 10^5 in standard form?

Mathematics
1 answer:
alexandr1967 [171]3 years ago
8 0
<h3>Answer:  434,500</h3>

You may need to erase the comma

To get this answer, move the decimal point to the right 5 spaces to go from 4.345 to 434,500

If the exponent was -5, then you would move five spaces to the left.

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RECURSIVE: f(n)=f(n-1)+4

EXPLICIT: f(n)=3+4n

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Describe how you would find the of 24 36 and 13
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Juan rolls a 6-sided number cube 4 times. each time, the result is 2. which best describes the events? dependent: each outcome w
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Read 2 more answers
Find two positive integers such that the sum of the first number and four times the second number is 1000, and the product of th
vladimir2022 [97]

Answer:

The two numbers are:

x = 500

y = 125

Step-by-step explanation:

We want to find two numbers x and y, such that:

x + 4*y = 1000

f(x, y) = x*y is maximum.

From the first equation, we can isolate one of the variables to get

x = 1000 - 4y

now we can replace it in f(x, y):

x*y = (1000 - 4*y)*y  = 1000*y - 4*y^2

So now we want to maximize the function:

f(y) =- 4*y^2 + 1000*y

where y must be an integer.

Notice that this is a quadratic equation with a negative leading coefficient (so the arms of the graph will open downwards), thus, the maximum will be at the vertex.

Remember that for a general quadratic equation:

y = a*x^2 + bx + c

the x-value of the vertex is:

x = -b/(2*a)

so, in the case of:

f(y) =- 4*y^2 + 1000*y

the y-value of the vertex will be:

y = -1000/(2*-4) = 1000/8 = 125

So we found the value of y.

now we can use the equation:

x = 1000 - 4*y

x = 1000 - 4*125 = 1000 - 500 = 500

x = 500

Then the two numbers are:

x =500

y = 125

6 0
2 years ago
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