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3 years ago

The sum of two numbers is 210. Determine the maximum product of these two numbers

1 answer:

6 0

If we take the two numbers 105 and 105,
if we add both these numbers we get the sum of 210
105+105 = 210
and we multiply both these numbers we get the product of 11,025.
105 x 105 = 11,025
and if we take two number 104 and 106, we get the sum of 210 but if we multiply these two numbers we get the product of 11,024 that is less than 11,025.
So the <span>maximum product of these two numbers is 11,025.</span>

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Answer:

10 in.

Step-by-step explanation:

The perimeter of a rectangle is the sum of the lengths of the 4 sides.

perimeter of rectangle = length + length + width + width

Opposite sides of a rectangle have the same length. Since one side measures 4 inches, the opposite side also measures 4 inches. Since one side measures 1 inch, the opposite side also measures 1 inch. There are two 4-inch sides and two 1-inch sides.

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dolphi86 [110]

Answer: About 6.71 units

Step-by-step explanation:

You use the distance formula: $\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2} }$ .

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$(x_{1}, y_{1}) = (1, 3)\\(x_{2}, y_{2}) = (4, -3)$

Substitute them in the formula:

$\sqrt{(4-1)^{2}+(-3-3)^{2}}$

And solve it:

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3 years ago

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A highway engineer specifies that a certain section of roadway covering a horizontal distance of 2km should have a downgrade of

Zigmanuir [339]

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$0.16km$

Step-by-step explanation:

A highway engineer wants to compute the change in elevation of a section of road. The horizontal distance of this section of road is 2km and downgrade is 8%

The slope formula is given by

$m=\frac{rise}{run}=\frac{x}{y}$

m = 8% = 8/100

run = y = 2km

$m =\frac{x}{y}$

$\frac{8}{100} =\frac{x}{2}$

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3 years ago

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ANSWER :

285.12

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3 years ago

A population of bacteria begins with 1500 bacteria and grows to 4500 in one hour.

dezoksy [38]

The function that represents the growth of this culture of bacteria as a function of time is; P = 1500e^(1.0986t)

<h3>How to calculate Exponential Growth?</h3>

The formula for exponential growth is;

P = P₀e^(rt)

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P = current population at time t

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r = rate of exponential growth/decay

t = time after start

Thus, from our question we have;

4500 = 1500 * e^(r * 1)

4500/1500 = e^r

e^r = 3

In 3 = r

r = 1.0986

Thus, the function that represents the growth of this culture of bacteria as a function of time is;

P = 1500e^(1.0986t)

For the culture to double, then;

P/P₀ = 2. Thus;

e^(1.0986t) = 2

In 2 = 1.0986t

t = 0.6931/1.0986

t = 0.631 hours

Read more about Exponential Growth at; brainly.com/question/27161222

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