A measure of _______for a numerical data set summarizes all of its values with a single number

Which function best fits the following points?

MrMuchimi

The function that best fits the graph points is; B: y = 65.0778 * 772.9605ˣ

<h3>How to Interpret Function Graphs?</h3>

From the given graph, we can see that is parabolic form and as such we can say it is an exponential function.

Looking at the options, only option B is in exponential form and as such, we will take one point on the graph to check if this is the right function.

Let us use the coordinate (0.9, 26000)

y = 65.0778 * 772.9605ˣ

y = 65.0778 * 772.9605^(0.9)

y = 25837.76

This is very close and as such is the correct option.

Read more about Function Graphs at; brainly.com/question/14323743

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6 0

2 years ago

3) Scenario 1 Scenario 2 y = 50x x is time in hours y is distance in miles Compare the scenarios and determine which shows the g

Olegator [25]

Answer:

Option A.

Step-by-step explanation:

Consider the below figure attached with this question.

Scenario 1 represented by the graph.

From the graph it is clear that the line passes through the points (1,60) and (2,120).

Slope of the line is

$y=\dfrac{y_2-y_1}{x_2-x_1}$

$y=\dfrac{120-60}{2-1}=60$

The slope of line is 60. It means the speed is 60 miles per hour.

Scenario 2 defined by the equation,

$y=50x$

If an equation defined as $y=mx+b$ , then m is slope and b is y-intercept.

$m=50$

The slope of line is 50. It means the speed is 50 miles per hour.

The slope of Scenario 1 is greater than slope of Scenario 2. So, the Scenario 1 shows the greater speed.

Hence, the correct option is A.

6 0

3 years ago

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A rectangular storage container with an open top is to have a volume of 24 cubic meters. The length of its base is twice the wid

Mariana [72]

Answer:

419.25

Step-by-step explanation:

The calculation of the cost of materials for the cheapest such container is shown below:-

We assume

Width = x

Length = 2x

Height = h

where, length = $2 \times width$

Base area = lb

= $2x^2$

Side area = 2lh + 2bh

= 2(2x)h + 2(x)h

= 4xh + 2xh

Volume = 24 which is lbh = 24

$h = \frac{24}{2x^2} \\\\ h = \frac{12}{x^2}$

Now, cost is

$= 13(2x^2) + 9(4xh + 2xh)\\\\ = 13(2x^2) + 9(4x + 2x)\times \frac{12}{x^2} \\\\ = 26x^2 + \frac{648}{x}$

now we have to minimize C(x)

So, we need to compute the C'(x)

$= 52x - \frac{648}{x^2}$

C"(x) $= 52x - \frac{1,296}{x^3}$

now for the critical points, we will solve the equation C'(x) = 0

$= 52x - \frac{648}{x^2} = 0\\\\ x = \frac{648}{52}^{\frac{1}{3}}$

$C" = ((\frac{648}{52} ^{\frac{1}{3} } = 52 + \frac{1296}{(\frac{648}{52})^\frac{1}{3} )^3}\\\\ = 52 + \frac{1296}{\frac{648}{52} } >0$

So, x is a point of minima that is

= $(\frac{648}{52} )^\frac{1}{3}$

Now, Base material cost is

$= 13(2x^2)\\\\ = 26(\frac{648}{52} )^\frac{2}{3}$

= 139.75

Side material cost is

$= \frac{648}{x} \\\\ = \frac{648}{(\frac{648}{52})^\frac{1}{3} }$

= 279.50

and finally

Total cost is

= 139.75 + 279.50

= 419.25

4 0

3 years ago

Which is the area of a circle with a circumference of 37.68 units (use 3.14)

stepladder [879]

1081637.6 when rounded to the nearest tenth

7 0

3 years ago

What is the simplified value of the exponential expression 16 Superscript one-fourth?

pochemuha

<u>Answer: </u>

The value of the exponential expression $16^{\frac{1}{4}}$ is 2

<u>Solution:</u>

16 superscript one-fourth= $16^{\frac{1}{4}}$

As per the problem,

We have to find the value of $16^{\frac{1}{4}}$

16 in terms of 2 can be written as $2\times2\times2\times2$

= $(2 \times 2 \times 2 \times 2)^{\frac{1}{4}}$

= $\left(2^{4}\right)^{\frac{1}{4}}$

As per the exponential rule, $a^{(m)^{n}}=a^{m \times n}$

= $2^{4 \times \frac{1}{4}}$

Here, $4\times\frac{1}{4}=1$

= $2^{1}$

= 2

Hence, the value is 2.

9 0

3 years ago

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