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mamaluj [8]
2 years ago
10

A certain bacteria is growing at a rate of 4 percent each day. If the culture of bacteria has 5,000 bacteria today, how many bac

teria will be present 10 days from now?
Mathematics
1 answer:
Virty [35]2 years ago
8 0
This is the concept of exponential growth, To get the number of bacteria after 10 days we use the formula:
f(t)=ae^(kt)
where;
a=initial number=5000
k=constant of proportionality= 0.04
t=time=10 days
f(t)=future number
thus the number of bacteria in 10 days will be:
f(t)=5000e^(0.04*10)
f(t)=7,459.12
The answer is 7,459.12
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insens350 [35]

Answer:

69.9245

Step-by-step explanation:

Speed of ball = 13.07 × swimming speed

Speed of ball = 13.07 × 5.35

4 0
2 years ago
There were 324 adults surveyed. Among the participants, the mean number of hours of sleep each night was 7. 5 and the standard d
NeTakaya

The margin of error for 324 adults surveyed with 1.6 standard deviations is 0.1742.

<h3>What is the margin of error?</h3>

The margin of error can be defined as the amount of random sampling error in the results of a survey. It is given by the formula,

\text{MOE}_{\gamma}=z_{\gamma} \times \sqrt{\frac{\sigma^{2}}{n}}

\text{MOE} = margin of error

\gamma = confidence level

z_{\gamma} = quantile

σ = standard deviation

n = sample size

As it is given that the sample size of the survey is 324, while the standard deviation of the survey is 1.6.

We know that the value of the z for 95% confidence interval is 1.96. Therefore, using the formula of the standard of error we can write it as,

\text{MOE}_{\gamma}=z_{\gamma} \times \sqrt{\dfrac{\sigma^{2}}{n}}\\\\\text{MOE}_{\gamma}=1.96 \times \sqrt{\dfrac{1.6^{2}}{324}}\\\\\text{MOE}_{\gamma}=0.1742

Hence, the margin of error for 324 adults surveyed with 1.6 standard deviations is 0.1742.

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5 0
2 years ago
I
iren2701 [21]

Answer:

The distance between points A and B is 13

Step-by-step explanation:

We need to find distance between points A and B

Looking at the graph,

Point A : (2,6) and Point B: (-3,-6)

We need to find the distance between these points.

The formula used is: Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\

We have Points A : (2,6) and  B: (-3,-6)

So, x_1=2, y_1=6, x_2=-3, y_2=-6

Putting values in formula and finding distance

Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\\\Distance=\sqrt{(-3-2)^2+(-6-6)^2} \\Distance=\sqrt{(-5)^2+(-12)^2} \\Distance=\sqrt{25+144} \\Distance =\sqrt{169}\\Distance = 13

So, the distance between points A and B is 13

6 0
3 years ago
Using the approximation 3.14 for pi​, what is the radius of a circle with circumference 69.1 ​m?
Nat2105 [25]

Answer:

11.0

Step-by-step explanation:

Circumfrence = 2 x pi x r.

making radius, r the subject of relation, you.get 11.003184713

7 0
3 years ago
Read 2 more answers
If A(1,2), B(5,-4) and (-3,2) are the vertices of a triangle, which statement holds true?
Zigmanuir [339]

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The correct option is A.

<h3>What is a triangle?</h3>

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angles of a triangle is always equal to 180°.

The length of different sides are:

AB = \sqrt{(5-1)^2+(-4-2)^2} = \sqrt{16+36} = \sqrt{52}\rm\ units

BC = \sqrt{(-3-5)^2+(2+4)^2} = \sqrt{64+36} = 10\rm\ units

AC = \sqrt{(2-2)^2+(-3-1)^2} = \sqrt{16} = 4\rm\ units

Since the length of all the sides of the triangle is not equal it is a scalene triangle.

Hence, the correct option is A.

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7 0
1 year ago
Read 2 more answers
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