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Grace [21]
2 years ago
6

Determine if the data comes from a linear function or an exponential function. Then, enter

Mathematics
1 answer:
svet-max [94.6K]2 years ago
8 0

1.  The data is not linear.  There's not a constant difference between the f(x) values.  (AKA there's not a fixed slope between the data points)

2. The data is exponential, because there's a consistent ratio in the f(x) values:

     189/567 = 1/3

     63/189 = 1/3

     21/63 = 1/3

     7/21 = 1/3

Each new y-value (aka f(x)-value) is 1/3 the previous value.

Also, f(0)=567.

If we put that together, we have f(x) = 567 (1/3)^x.

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HELP MATH WHIZZES!! TON OF FREE POINTS, EASY GEOMETRY QUESTION FOR THE RIGHT ANSWER! WHO WILL WIN THIS?! NEED HELP, NOT WRONG AN
Radda [10]
The area of the trapezoid is the product of the height and the average of the two bases: 
<span>30 (25 + 33)/2 = 30 (58)/2 = 30 (29) = 870 square yd. </span>

<span>But we want to exclude the area of the fountain. </span>
<span>Since it's circular its area is π times the square of its radius, or 16π square yd. </span>

<span>So the area of the park, excluding the fountain, is </span>
<span>870 - 16π square yd, </span>
<span>or about 820 square yd.</span>
5 0
3 years ago
Read 2 more answers
Whats equivalent expression to 48j+36 with __(4j+__)
Stells [14]
12(4j+3)

because both are divisible by 12
6 0
3 years ago
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How many miles from ft Lauderdale to Haiti
Sonbull [250]

Ft. Lauderdale is a city that stretches several miles, and Haiti
is a whole country, that's many miles wide and many miles high. 

In order to nail down a reliable answer, you'd really need to specify
one point in Ft. Lauderdale and one point in Haiti.

If you start at the northwest end of Runway-13 at Ft. Lauderdale
Executive Airport, and take the shortest possible route to the east
end of Runway-28 at the Aeroport International de Port au Prince
at Haiti's capital city, you'd have to travel 727.57 miles.

But if you start in Ft. Lauderdale at the intersection of Griffin Rd
and Ravenswood Rd, and take the shortest possible route to the
Dispensaire de Bord-de-Mer hospital on Haiti's north coast, you'd
only have to travel 613.63 miles.

You really need to say WHERE in Ft. Lauderdale and WHERE in Haiti.
3 0
3 years ago
Read 2 more answers
Find the domain of the function y = 3 tan(2/3x)
Damm [24]

Answer:

{x∈R | \frac{2x}{3\pi } +\frac{1}{2}, x∉Z}

Step-by-step explanation:

Given the function y=3tan(2/3x)

We know that tangent is a function that's continuous within it's domain but not continuous on all real numbers

Also, the roots of y=3tan(2/3x) is 3\pi n/2 where n is an integer

Note that the domain of the function cannot be within 3\pi n/2

Therefore, {x∈R | \frac{2x}{3\pi } +\frac{1}{2}, x∉Z}

5 0
2 years ago
Show all your work. Indicate clearly the methods you use, because you will be scored on the correctness of your methods as well
laiz [17]

Answer:

The  value is  P(A) =  0.133617

Step-by-step explanation:

From the question we are told that

  The  mean is  \mu =  7.5

  The standard deviation is  \sigma  =  0.2

  The safest water level is  between  7.2 and  7.8

Generally the probability that the selected pool has a pH level that is not considered safe is mathematically represented as

       P(A) =  1 - P(7.2 \le X  \le 7.8 )

Here  

      P(7.2 < X  < 7.8 ) = P(\frac{ 7.2 - \mu }{\sigma } <  \frac{X - \mu }{ \sigma }

Generally \frac{X - \mu }{ \sigma } =  Z (The  \ standardized \  value  \  of  X )

So

 P(7.2 < X  < 7.8 ) = P(\frac{ 7.2 - 7.5 }{0.2 } < Z    

 P(7.2 < X  < 7.8 ) = P(-1.5 < Z  

=>  P(7.2 < X  < 7.8 ) = P(Z <  1.5) - P(  Z < - 1.5)

From the z-table the probability of  (Z <  -1.5) and   (  Z <1.5)  are

    P(Z <  1.5) =  0.93319

and  

    P(Z <  -1.5) =  0.066807

So

      P(7.2 < X  < 7.8 ) =0.93319 - 0.066807

       P(7.2 < X  < 7.8 ) =0.0866383

So

   P(A) =  1 - 0.0866383

=>  P(A) =  0.133617

5 0
3 years ago
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