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Anna007 [38]
3 years ago
9

Determine the intercepts of a line. x-intercept: (__,__) y-intercept: (__,__)

Mathematics
2 answers:
nlexa [21]3 years ago
8 0
<h2><em>The x intercept is -250, and the y intercept is 100. x is the horizontal line, and the intercept is where the line goes through the x axis. Same thing for y only for the vertical line. So,</em></h2><h2><em>(-250, 0)</em></h2><h2><em>(0, 100)</em></h2>
natka813 [3]3 years ago
3 0

Step-by-step explanation:

In x- intercept: -250

In y- intetcept: 100

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The number of bacteria in a culture is given by the function n(t) =950e^0.45t Where t is measured in hours A) what is the contin
tatiyna

Answer:

a) The continuous rate of growth of this bacterium population is 45%

b) Initial population of culture at t = 0 is 950 bacteria

c) number of bacterial culture contain at t = 5 is 9013 bacteria

Step-by-step explanation:

The number of bacteria in a culture is given by

n(t) = 950e^{0.45t}

a) rate of growth is

Bacteria growth model N(t) = noe^{rt}

Where r is the growth rate

hence r = 0.45

              = 45%

b) Initial population of culture at t = 0

n(0) = 950e^{0.45(0)}

       = 950e^{0}

       = 950 bacteria

c) number of bacterial culture contain at t = 5

n(5) =  950e^{0.45(5)}

      = 950e^{2.25}

      = 9013.35

      = 9013 bacteria

6 0
3 years ago
What is the factored form of the expression?
Georgia [21]

Answer: The answer is (d) (4x+7)(7x+8).


Step-by-step explanation: Given equation to be factored is

28x^2+81x+56.

The given expression is quadratic, so we can factor it into two linear factors, by using the following factorisation rule.

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

So, the given equation can be factorised using the above rule. The factorisation is as follows.

28x^2+81x+56\\\\=28x^2+49x+32x+56\\\\=7x(4x+7)+8(4x+7)\\\\=(4x+7)(7x+8).

Thus, the correct option is (d).





7 0
3 years ago
A new air scrubber project is being built in a field. 80% of the entire field will be developed. Leaving only 350 acres undevelo
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Answer:

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Step-by-step explanation:

If the developed area is 80% of the field, and the undeveloped area is 20%, then the developed area is 4 times the undeveloped area, so is ...

  developed area = 4 × 350 acres

  developed area = 1400 acres

Then the total area is ...

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  total area = 1750 acres

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3 years ago
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