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Ostrovityanka [42]
2 years ago
12

Find the output, y, when the input, x, is -5.

Mathematics
2 answers:
tino4ka555 [31]2 years ago
8 0
Is there a graph or something to show us because we really can’t help just from the question
Marat540 [252]2 years ago
6 0

Answer:

The output y is

Step-by-step explanation:

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A bacteria culture initially contains 100 cells and grows at a rate proportional to its size. After an hour the population has i
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Answer: \bold{a)\ P(t)=P_o\cdot e^{t\cdot ln(2.7)}}

               b) 5314

               c) ln 2.7

               d) 4.6 hrs

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

P(t) = P_o\cdot e^{kt}\\\\\bullet \text{P(t) is the number of bacteria after t hours} \\\bullet P_o\text{ is the initial number of bacteria}\\\bullet \text{k is the rate of growth}\\\bullet \text{t is the time (in hours)}\\\\\\270=100\cdot e^{k(1)}\\2.7=e^k\\ln\ 2.7=\ln e^k\\\boxed{ln\ 2.7=k}\\\\\text{So the equation to find the number of bacteria is: }\boxed{P(t)=P_o\cdot e^{t\cdot ln(2.7)}}\\\\\\P(4)=100\cdot e^{4\cdot ln(2.7)}\\.\qquad =\boxed{5314}

10,000=100\cdot e^{t\cdot ln(2.7)}\\100=e^{t\cdot ln(2.7)}\\ln\ 100=ln\ e^{t\cdot ln(2.7)}\\ln\ 100=t\cdot ln(2.7)\\\dfrac{ln\ 100}{ln\ 2.7}=t\\\\\boxed{4.6=t}

4 0
3 years ago
You will write a procedural page explaining how to find the volume of a prism. This must be done in complete sentences and using
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The formula for the volume of a prism is V=Bh, where B is the base area and h is the height.The base of the prism is a rectangle.The length of a rectangle is 9cm and the width is 7cm.
3 0
2 years ago
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Si: P(x+2) = 2(x+2)^3 + x^2 +4x +4<br> Calcular : P(-4)
Tom [10]

Answer:

Step-by-step explanation:

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3 years ago
It says to solve each proportion which I forgot how to do. Please help.
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A carpenter cut out a small trapezoid as a wooden support for the front step. it has an altitude of 4 inches. One base of the tr
docker41 [41]

Area of wooden support is 36 square inches

<em><u>Solution:</u></em>

Given that, carpenter cut out a small trapezoid as a wooden support for the front step

<em><u>The area of trapezoid is given as:</u></em>

area = \frac{a+b}{2} \times h

Where, "h" is the height

"a" and 'b" are the length of base

Here given that,

Height = h = 4 inches

a = 6 inches

b = 12 inches

Substituting the values we get,

area = \frac{6+12}{2} \times 4\\\\area = 18 \times 2\\\\area = 36

Thus area of wooden support is 36 square inches

6 0
3 years ago
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