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JulijaS [17]
3 years ago
8

1. Cindy did an experiment. She started out with 700 bacteria cells. She found that the growth rate of the bacteria cells was 4.

3%. Create an equation for the situation that would work for any time, x. Type your equation into Desmos to make a graph that represents her experiment. Take a screenshot that includes both the equation and the graph in Desmos. Paste the screenshot to this page or attach it separately to the assignment submission drop box. Please help!!!!
Mathematics
1 answer:
Brums [2.3K]3 years ago
8 0

Answer:

  • This is an exponential function of the form y=a(b^x)
  • We will use the following
  • y for the number of bacteria at a given time
  • x for the time
  • a for the starting number of bacteria, which is 700
  • b for the base of the exponent
  • so lets find b, we need the following:
  • r, which will be our rate, which is 4.3% or 0.043, so
  • b=1+r\\b=1+0.043\\b=1.043
  • With this info, let's substitute, and get the equation as the answer: y=700(1.043^x)
  • Put that into desmos, (I attached a screenshot for you)

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Find the equation of a line that has a slope of 2 and passes through the point.<br> point (-7, 5)
sashaice [31]

Answer:

\large\boxed{y-5=2(x+7)\leftarrow\text{point-slope form}}\\\boxed{y=2x+19\leftarrow\text{slope-intercept form}}

Step-by-step explanation:

The point-slope form of an equation of a line:

y-y_1=m(x-x_1)

m - slope

(x₁, y₁) - point

We have the slope m = 2 and the point (-7, 5) → x₁ = -7, y₁ = 5.

Substitute:

y-5=2(x-(-7))\\\\y-5=2(x+7)

Convert to the slope-intercept form (y = mx + b):

y-5=2(x+7)           <em>use distributive property</em>

y-5=2x+14            <em>add 5 to both sides</em>

y=2x+19

7 0
3 years ago
Industry standards suggest that 13 percent of new vehicles require warranty service within the first year. Jones Nissan in Sumte
zvonat [6]

Answer: 0.1880

Step-by-step explanation:

The binomial distribution formula is given by :-

P(x)=^nC_xp^x(1-p)^{n-x}

where P(x) is the probability of x successes out of n trials, p is the probability of success on a particular trial.

Given : The probability of new vehicles require warranty service within the first year : p =0.13.

Number of trials  : n= 12

Now, the required probability will be :

P(x=0)=^{12}C_0(0.13)^{0}(1-0.13)^{12-0}\\\\=(1)(0.13)^{0}(0.87)^{12}=0.188031682201\approx0.1880

Thus,  the probability that none of these vehicles requires warranty service = 0.1880

5 0
3 years ago
What is the minimum value of the function y=5|2x - 24 + 30?
Snowcat [4.5K]

Answer:

use photo math

Step-by-step explanation:

8 0
3 years ago
Someone help me please
Black_prince [1.1K]

Answer:

C.

Step-by-step explanation:

Line CD has a slope of -5/3 and the negative reciprocal of 3/5. The slope for the line given is 3/5 so the slopes are right. Then look at the y-intercept of the line given: (0,-2)     Go up 3 and over 5 and you can see it pass through the line CD making C the answer.

5 0
3 years ago
Anybody have some answers???
jenyasd209 [6]

Answer:

x = 36; 2x = 72; 3x = 108; 4x = 144.

Step-by-step explanation:

The sum of the angles of a quadrilateral is 360°, so you have ...

... x° + 2x° + 3x° + 4x° = 360° = 10x°

... x = 360°/10° = 36

The other angles are figured by multiplying by 2, or 3, or 4.

7 0
4 years ago
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