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Vanyuwa [196]
3 years ago
14

PLEASE SOLVE I DESPERATELY NEED HELP!!! Solve the system of equations by graphing.

Mathematics
1 answer:
Anon25 [30]3 years ago
4 0

Answer:

The steps will be :

1. Draw both equations into the graph.

2. Look for the coordinates where they intersect(curve and line crosses each other). So the coordinates will be (-2,0) and (3,5).

3. The x-value of the coordinates will the solution to the equations.

4. Therefore, the answer will be -2 and 3.

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Answer: 0.3

Step-by-step explanation:

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Can someone help me please. I can give you extra points. Message me or text me on snap anja4life. To help me with more please
Tju [1.3M]
<h3>Answer:  8</h3>

=====================================

Work Shown:

y = 192\left(4^{x-3}\right)\\\\196,608 = 192\left(4^{x-3}\right)\\\\\frac{196,608}{192} = 4^{x-3}\\\\1024 = 4^{x-3}\\\\4^{x-3} = 1024\\\\\log\left(4^{x-3}\right)=\log\left(1024\right)\\\\(x-3)*\log\left(4\right)=\log\left(1024\right)\\\\x-3=\frac{\log\left(1024\right)}{\log\left(4\right)}\\\\x-3=5\\\\x=5+3\\\\x=8\\\\

It will take 8 hours for the population to reach 196,608 bacteria.

3 0
2 years ago
The function f(x)=125(0.9)x models the population of a species of fly in millions after x years.
deff fn [24]

Answer: (B) 3 times as fast

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

rate of change is the "slope" between the given interval.

f(x) = 125(.9)ˣ

f(1) = 125(.9)¹

    = 112.5

f(5) = 125(.9)⁵

     = 73.8

\dfrac{f(5) - f(1)}{5 - 1} = \dfrac{73.8-112.5}{5-1} = -\dfrac{38.7}{4} = -9.675

********************

f(11) = 125(.9)¹¹

       = 39.2

f(15) = 125(.9)¹⁵

       = 25.7

\dfrac{f(15) - f(11)}{15 - 11} = \dfrac{39.2-25.7}{15-11} = -\dfrac{13.5}{4} = -3.375

********************

The rate of change from years 1 to 5 is approximately 3 times the rate of change from years 11 to 15.

7 0
3 years ago
Let z be a standard normal random variable. Use the calculator provided, or this table, to determine the value of c . 0.1112
Leviafan [203]
<h2>The value of c . 0.1112 is 1.22</h2>
6 0
2 years ago
Suppose that the waiting time for a license plate renewal at a local office of a state motor vehicle department has been found t
Wittaler [7]

Answer:

a=30 +1.04*8=38.32

So the value of height that separates the bottom 85% of data from the top 15% is 38.32.  

C) 38.32

Step-by-step explanation:

1) Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

2) Solution to the problem

Let X the random variable that represent the waiting time in minutes of a population, and for this case we know the distribution for X is given by:

X \sim N(30,8)  

Where \mu=30 and \sigma=8

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

We want to find a value a, such that we satisfy this condition:

P(X>a)=0.15   (a)

P(X   (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.  

As we can see on the figure attached the z value that satisfy the condition with 0.85 of the area on the left and 0.15 of the area on the right it's z=1.04. On this case P(Z<1.04)=0.85 and P(z>1.04)=0.15

If we use condition (b) from previous we have this:

P(X  

P(z

But we know which value of z satisfy the previous equation so then we can do this:

z=1.04

And if we solve for a we got

a=30 +1.04*8=38.32

So the value of height that separates the bottom 85% of data from the top 15% is 38.32.  

C) 38.32

7 0
3 years ago
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