Ask question

Ask question

All categories

2 years ago

13

The equation for the line of best fit is f(x) ≈ 1.8x − 5.4 for the set of values in the table. Using the equation for the line o

f best fit, what is a good approximation for x when f(x) = 30? 14 20 45 54

2 answers:

julia-pushkina [17]2 years ago

6 0

1.8x-5.4=30 add 5.4 to both sides

1.8x=35.4 divide both sides by 1.8

x=354/18

x≈19.67

So 20 would be a good approximation for x.

katrin [286]2 years ago

6 0

The answer is b i got it right

You might be interested in

From 2000-2003, students were tested by the state in four major subject areas of math, science, English and social studies. The

Verizon [17]

No way to tell . . . . . we can't see the chart below.
It must be WAY down there where the sun don't shine.

8 0

2 years ago

Food costs are expected to rise 6% each month for the next year. Which series correctly depicts the cost (to the nearest cent) f

alexira [117]

For this case we have the following equation:
y = 150 * (1.06) ^ t
For the first month we have:
y = 150 * (1.06) ^ 1
y = 159 $
For the second month we have:
y = 150 * (1.06) ^ 2
y = 168.54 $
For the third month we have:
y = 150 * (1.06) ^ 1
y = 178.65 $
Answer:
d. $ 159.00 + $ 168.54 + $ 178.65

4 0

2 years ago

Read 2 more answers

The angle Johnny holds his pen on paper creates a linear pair. The measure of one angle is 13x+7. The measure of the second angl

lisov135 [29]

we know that

Angles in a linear pair are supplementary angles

So

Let

A-------> the first angle

B------> the second angle

$A+B=180\\$ ----> equation $1$

$A=13x+7\\ B=2A-1=B=26x+13$

Substitute the values of A and B in the equation $1$

$13x+7+26x+13=180\\ 39x=180-20\\ x=\frac{160}{39}$

$\frac{160}{39}=4.10\ degrees$

therefore

the answer is

the value of x is $4.10\ degrees$

5 0

2 years ago

Read 2 more answers

The population p of a small community on the outskirts of a city grows rapidly over a 20-year period: t05101520p1002004509502000

myrzilka [38]

Answer:

The population of the small community, 5 years into the future, after the initial 20-year period = 4268.

Step-by-step explanation:

t | 0 | 5 | 10 | 15 | 20

p | 100 | 200 | 450 | 950 | 2000

The exponential function will look like

p = aeᵏᵗ

where a and k are constants.

Take the natural logarithms of both sides

In p = In aeᵏᵗ

In p = In a + In eᵏᵗ

In p = In a + kt

In p = kt + In a.

We then use linear regression to fit the data of In p against t to obtain k and In a.

t | 0 | 5 | 10 | 15 | 20

p | 100 | 200 | 450 | 950 | 2000

In p | 4.605 | 5.298 | 6.109 | 6.856 | 7.601

In p = kt + In a.

y = mx + b

m = k and b = In a

Performing a linear regression analysis on the now-linear relationship between In p and t and also plotting a graph of the variables.

The regression equation obtained is

y = 0.151x + 4.584

The first attached image shows the equations necessary for the estimation of the linear regression parameters.

The second attached image shows the use of regression calculator and the plot of the function In p versus t.

Comparing

y = 0.151x + 4.584

With

In p = kt + In a.

y = In p

k = 0.151

x = t

In a = 4.584

a = 97.905

The exponential function relating p and t,

p = aeᵏᵗ now becomes

p = 97.905 e⁰•¹⁵¹ᵗ

So, to predict the population 5 years into the future, that is 5 years after the 20 year period.

we need p at t=25 years.

0.151 × 25 = 3.775

p(t=25) = 97.905 e³•⁷⁷⁵ = 4268.41 = 4268.

Hope this Helps!!!

7 0

2 years ago

The radius of the circular lens of a magnifying glass is 4 centimeters.

Nadusha1986 [10]

Answer: 50.24 square centimeters.

Step-by-step explanation:

Given: The radius of the circular lens of a magnifying glass = 4 centimeters

The area of a circle is given by :-

$\text{Area}=\pi r^2$ , where r is the radius of the circle.

Then the area of the circular lens of a magnifying glass is given by :-

$\text{Area}=\pi (4)^2=(3.14)(16)=50.24\text{ square centimeters }$

Hence, the area of the circular lens of a magnifying glass = 50.24 square centimeters.

5 0

2 years ago