f(x)=6x​/5+3
Find the inverse of f(x)

Val's margin of error is of 10 pounds rounded to the nearest whole number.

In statistics, a confidence interval is a range to estimate for unknown terms. The most common level is the 95% confidence interval.

It can be calculated by

CI = Mean ± margin of error.

Margin of error can be calculated by the following equation:

M = 1.96 s /√n

where s is the standard deviation. n is the sample size.

In this problem:

The standard deviation is 50, hence s = 50

Val weighed 100 cows. n = 100

Then:

M = 1.96 s /√n

M = 1.96 x 50 /√100

M = 1.96 x 50 /10

M = 9.8

Therefore, Val's margin of error is of 10 pounds rounded to the nearest whole number.

You can learn more about margin of error at brainly.com/question/14510808

#SPJ1

The image of (0, -3) after dilation by a scale factor of 1/3 centered at the origin is : (0, -1)

Given point P (0, -3)

The point is dilated by a scale factor of 1/3 centered at the origin is equivalent to multiplying the point by 1/3 for both the co-ordinates.

Therefore, the new point is given by :

P' = (0×(1/3), (-3)×(1/3))

P' = (0, -1)

To know more about image :

https://brainly.com/question/28361327

#SPJ1

Image of (0,-3) after dilation is (0,-1).

Scale factor = 1/3

Given point = (0,-3)

To find image of a point, we multiply the co-ordinates of the given point by scale factor.

Therefore, image = (0*(1/3),-3*(1/3))

                             = (0,-1)

Hence, image of point (0,-3) is (0,-1).

To learn more about Image here:

https://brainly.com/question/25029470

#SPJ1

Answer:

The correct answer is B. Vertical lines have an undefined slope.

Answer:

x=56

106 degrees

Step-by-step explanation:

Since it’s in a flat plane these 2 angles added together equal 180 degrees

2x-6+74=180

2x+68=180

    -68.   -68

  2x=112

  /2.  /2

  x=56

To find unknown angle just replace x with 56

2(56)-6

112-6

106 degrees

Hopes this helps please mark brainliest

Answer:

aprox 57 days

Step-by-step explanation:

2560-1934=626

626/14=44.7142857143

2560/44.7142857143=57.25 days

The equations that have a true solution include the following:

8⋅72−12=22−2⋅3 fraction numerator 8 times 7 over denominator 2 end fraction minus 12 equals 22 minus 2 times 3.

48 ÷ 8 + 2³ = 5 + 3²

In this exercise, we have to determine the equations that are true and this would  be done by simplifying and evaluating each of the equations as follows:

(8 × 7)/2 - 12 = 22 - (2 × 3)

Opening the bracket on both sides of the equation, we have:

56/2 - 12 = 22 - 6

28 - 12 = 16

16 = 16 (True).

48 ÷ 8 + 2³ = 5 + 3²

Next, we would evaluate the exponents as follows:

48 ÷ 8 + 8 = 5 + 9

6 + 8 = 14

14 = 14 (True).

150/5² = 30 - 4² - 12

By evaluating the exponents, we have the following:

150/25 = 30 - 16 - 12

6 = 2 (False).

9² - 7² = 20 ÷ (7 - 2)

Opening the bracket, we have the following:

9² - 7² = 20 ÷ 5

By evaluating the exponents, we have the following:

81 - 49 = 4

32 = 4 (False).

Read more on equation here: brainly.com/question/18912929

#SPJ1

gof(x) is x/2+3/4 for functions f(x)=2x+3 and g(x)=x/4

A relation is a function if it has only one y-value for each x-value.

Composite functions are when the output of one function is used as the input of another.

Given,

f(x)=2x+3 and g(x)=x/4

g circle f of x equal to g of f of x.

and gof(x)=g(f(x))

g circle f of x equal to g of two times of x plus three.

gof(x)=g(2x+3)

gof(x)=(2x+3)/4

=2x/4+3/4

gof(x)=x/2+3/4

Hence gof(x) is x/2+3/4 for functions f(x)=2x+3 and g(x)=x/4

To learn more on Functions click:

https://brainly.com/question/21145944

#SPJ1

The numbers replacing A, B and C in the polynomial equation  are -2, -2 and 2 respectively.

In the equation y = x² + 3x - 2,

When x = -3 ,

y = 9- 9- 2

 = -2 = A

So, A = -2

When x = 0 ,

y = 0+ 0- 2

 = -2 = B

So, B = -2

When x = 1 ,

y = 1 + 3 - 2

  =4 -2

  =2 = C

So, C = 2

The numbers replacing A, B and C in the polynomial equation  are -2, -2 and 2 respectively.

To learn more about polynomial equations, refer:

https://brainly.com/question/28947270

#SPJ1

Using percentage, 39% of 80 percent is calculated and given as 31.2.

percentage :

given equation is calculated as:

x = 39 percent of 80

x = 39% of 80

x = 39% x 80

x = (39/100) x 80

x = 31.2

therefore, 39 percent of 80 is 31.2

Using percentage, 39% of 80 percent is calculated and given as 31.2.

To know more about percentage

brainly.com/question/28269290

#SPJ1

The sales tax is $2.935, and the total due is $51.855 ,Jared has $50 but the cost is $51.855 so he does not have enough money to the purchases.

Given:

jared has $50 to spend on some new clothes for school. if the sales tax rate in his state is 6% the pretax total comes to $48.92.

sales tax = 6% = 6/100 = 0.06.

= 0.06 * 48.92

= $2.935.

Total due = sales tax + pretax total

= $48.92 + $2.935

= $51.855

Jared has $50 but the cost is $51.855 so he does not have enough money to the purchases.

Therefore The sales tax is $2.935, and the total due is $51.855 ,Jared has $50 but the cost is $51.855 so he does not have enough money to the purchases.

Learn more about the sales tax and pretax total here:

https://brainly.com/question/16223045

#SPJ1

The solution for the given logarithmuc function is x = -1 or x = -4.

What is a logarithmic expression?

A logarithmic equation is one that involves the logarithm of a variable-containing expression. To solve exponential equations, first, determine whether both sides of the equation can be written as powers of the same number.

Property of logarithms: log(a) + log(b) = log(ab)

The given function is

                       [tex]log_{2}(x+2) + log_{2}(x+3)=1[/tex]

By using the property of logarithms, we get

                       [tex]log_{2}(x+2) + log_{2}(x+3)=1\\\\log_2{[(x+2)(x+3)]}=1\\\\(x+2)(x+3)=2\\\\x^2+2x+3x+6=2\\\\x^2+5x+6-2=0\\\\x^2+5x+4=0\\\\(x+1)(x+4)=0[/tex]

Simplifying, we get

                   x = -1   (or)  x = -4

Hence, the solution for the given logarithmuc function is x = -1 or x = -4.

To learn more about logarithmic expressions, visit:

brainly.com/question/20473168

#SPJ1

The equation of the line y = -x/2 + 6, with slope -1/2,

What is equation straight line?

Y = mx + c is the general equation for a straight line, where m denotes the line's slope and c the y-intercept. It is the version of the equation for a straight line that is used most frequently in geometry. There are numerous ways to express the equation of a straight line, including point-slope form, slope-intercept form, general form, standard form, etc. A straight line is a geometric object with two dimensions and infinite lengths at both ends. The formulas for the equation of a straight line that are most frequently employed are y = mx + c and axe + by = c. Other versions include point-slope, slope-intercept, standard, general, and others.

slope m = -1/2.

So the line can be formed by (y-y1) = m (x-x1)

(y-7) =  -1/2* (x+2)

y = -x/2 - 1+7

y = -x/2 + 6

Hence the equation of the line y = -x/2 + 6.

Learn more about the straight line, by the following link

brainly.com/question/16949303

#SPJ1

Answer: log7 21 /  log7 5

I took one for the team and guessed, and got it right.

You are welcome future students.

The expression that correctly shows how to rewrite the logarithm [tex]\log_5{21}[/tex], using a logarithm of base 7, with change of base, is given as follows:

[tex]\frac{\log_7{21}}{\log_7{5}}[/tex]

To change the base of a logarithm, a new fraction is written, in which:

In this problem, the logarithm that will be calculated is:

[tex]\log_5{21}[/tex]

Hence the number and the base of the logarithm are presented as follows:

With the change of the base to base 7, the numerator and the denominator of the fraction are given as follows:

Hence the simplified logarithm is presented as follows:

[tex]\frac{\log_7{21}}{\log_7{5}}[/tex]

Meaning that the correct option is the second option.

More can be learned about the change of base of a logarithm at https://brainly.com/question/25588990

#SPJ1

Answer:

20

Step-by-step explanation:

b² - 4ac = (-6)² - 4(1)(4) = 36 - 16 = 20

Answer:

I notice the x intercepts affects the slope of the equation

Step-by-step explanation:

Answer:

Given: The equation of the rainbow has a shape of a parabola:

In the distance, an airplane is taking off. As it ascends during take-off, it makes a slanted line that cuts through the rainbow at two points

We will draw a line that will be intersected with the parabole at two points and one of them has x = 4

See the following picture:

As shown in the figure, the plane takes off from the point (-18, 0)

And it makes a slanted line that cuts through the rainbow at two points.

The equation of the linear function will be: y = 0.5x + 9

The table of the linear function will be as follows:

2. What is the domain and range of the rainbow?

Domain = all the possible value of x = ( -∞, ∞ )

Range = all the possible value of y = ( -∞ , 27 )

3. Explain what the domain and range represent in context.

The domain is all the possible values of x that can be substituted into the function

So, as we have a polynomial function, the domain will be all real numbers

The range is all the possible values of y that will be results when we have substituted with the x-values

As we have a parabola, the range will be ( -∞ , 27 )

What are the X- and y-intercepts of the rainbow?

As shown in the figure:

There are two points:

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

[tex]f(-2)[/tex] is the value of [tex]y=f(x)[/tex] at [tex]x=-2[/tex]

Answer:

the slope of the line is -2

Step-by-step explanation:

since the line is going downhill the slope is always negative. The top point is 2 lines above the bottom one and 1 over the slope is -2/1 but simplified is just negative 2

Answer:

Step-by-step explanation:

if you use the rise over run equation the slope would be 3/1

The test that does not include scales for assessing test taker response biases and faking is D. Meyers-Briggs Type Indicator.

A popular objective personality measure is the Millon Clinical Multiaxial Inventory—Third Edition (MCMI-III). The MCMI-III assesses the presence of psychological disorders, including personality disorders.

The MMPI-2 is a 567-item true/false self-report questionnaire that assesses a person's psychological state. It includes nine validity scales (or 'lie' scales) that assess lying, defensiveness, faking good, and faking bad, among other things.

The MMPI-2-RF provides accurate measurement of 40 dimensional constructs related to personality and psychopathology in the context of the new paradigm (with an additional nine scales measuring protocol validity, or the individual's test-taking approach).

The Myers-Briggs Type Indicator is an introspective self-report questionnaire used in personality typology to identify different psychological preferences in how people perceive the world and make decisions. Introversion/extraversion, sensing/intuition, thinking/feeling, and judging/perceiving are the four categories. Unlike others, this first use a scale.

Learn more about psychology on:

https://brainly.com/question/3951300

#SPJ1

Answer:

interest rate = 0.0400215403 or 4.00215403% or 4%

Step-by-step explanation:

formula

final amount =

initial amount times e^(interest rate times time)

6614 = 4998 times e^(interest rate times 7)

(6614 ÷ 4998) = e^(interest rate times 7)

1.32332933173 = e^(interest rate times 7)

ln means natual log

ln(1.32332933173) = ln(e^(interest rate times 7))

0.28015078214 = interest rate times 7

0.28015078214 ÷ 7 = interest rate

0.0400215403 = interest rate

utub dr ashley godbold

investopedia

Answer:

See below

Step-by-step explanation:

NOT SURE WHY MY PREVIOUS ANSWER GOT DELETED

(1 + .07/12)^12 = 1.07229     WHICH IS   7.229 %   a.p.y.

           ( same answer....less detail)

The Standard deviation of binomial distribution is 1.833

The binomial distribution is the discrete probability distribution that gives only two possible results in an experiment, either Success or Failure.

There are two parameters n and p used here in a binomial distribution

According to the question

For binomial distribution its given

Number of trails :n = 21

Probability of success : p = 0.2

Probability of failure : q = 1 - p

q = 1 - 0.2

=> 0.8

Standard deviation of binomial distribution = √npq

substituting the values

Standard deviation = √(21)(0.2)(0.8)

= √3.36

taking square root,

Standard deviation = 1.833

To know more about Binomial Distribution here

https://brainly.com/question/14565246

#SPJ1

If the equation for a line "u" be represented as [y = (-2x + 10)], then the equation of line "v", being parallel to line "u" and passing through the point (-1, 2) will be [y = (-2x)].

As per the question statement, the equation for a line "u" can be represented as [y = (-2x + 10)],

And we are required to determine the equation of another line "v", which is  parallel to line "u" and passes through the point (-1, 2).

To solve this question, first we need to know about a property of parallel lines, which is, "Any straight line parallel to a line of known slope will also have the same slope"

Now, the formula to determine the equation of a straight line having a known slope, say "m" and a y-intercept of "c" goes as, [y = (mx + c)], also known as the slope-intercept form of line. Comparing the equation of line "u" with this slope-intercept form, we get, [m = (-2)] and [c = 10].

That is, the slope of line "u" is (-2), and hence, the slope of line "v" must also be (-2) since they are parallel to each other.

Also, the formula to determine the equation of a straight line having a known slope, say "m", and passing through a known point, say (x₁, y₁), goes as, [(y - y₁) = {m(x - x₁)],  and using [m = (-2)] and [(x₁, y₁) = ((-1, 2)] in this formula, we get,

[(y - 2) = (-2){x - (-1)}]

Or, [(y - 2) = (-2)(x + 1)]
Or, [(y - 2) = (-2x - 2)]

Or, [y = (-2x - 2 + 2)]

Or, [y = (-2x)]

That is,  the equation of line "v", being parallel to line "u" and passing through the point (-1, 2) will be [y = (-2x)]

To learn more about Equations and Parallel Lines, click on the link below.

https://brainly.com/question/26407329

#SPJ1

The number of the books sold that were Mystery books is 201.

From the information, there were 750 books sold last week at Sid's Bookstore. and the central angle for the Mystery slice is 96.48°.

In this case, it should be noted a circle graph has total angle of 360°.

This will be:

= 96.48/360 × 750

= 201

The number of books is 201.

Learn more about angle on:

brainly.com/question/25716982

#SPJ1

The height of the sand is 25cm

How to calculate height?

First the volume formula is height × long × wide. So, we can calculate height by dividing the volume by the long and wide.

= 36,000 ÷ 45 ÷ 32

= 25cm

Thus, the height of the sand is 25cm

Learn more about volume here:

brainly.com/question/1578538

#SPJ1

The equivalent ratios are 6:3, 24:12 and 18:9.

According to the question,

We have the following information:

We have a table where number of people and  benches are given.

(Note that equivalent ratios mean that when we simplify it then the ratio should be equal to the original ratio.)

Now, we will find the equivalent ratios column-wise:

In first column, we have 6 and 3.

6:3

Now, in second column, we have:

_:12

Now, dividing 12 by 3, we have 4.

Multiplying 4 into 6:

24:12

Now, in third column, we have:

18:_

Dividing 18 by 6:

18/6 = 3

Multiplying 3 by 3:

18:9

Hence, the equivalent ratios are 6:3, 24:12 and 18:9.

To know more about equivalent ratios here

https://brainly.com/question/13513438

#SPJ1

Answer:

357.12 Yuan

Step-by-step explanation:

Set it up as a proportion

The given logarithmic expression [tex]ln(x^5)[/tex] can be expressed as 5*lnx.

so option (D) is correct.

What is a logarithmic expression?

A logarithmic equation is one that involves the logarithm of a variable-containing expression. To solve exponential equations, first, determine whether both sides of the equation can be written as powers of the same number.

The given logarithmic expression is [tex]ln(x^5)[/tex]

Property of logarithms: [tex]ln(x^n) = nln(x)[/tex]

So by using the above property, we can rewrite the given expression as

                           [tex]=ln(x^5)\\=5ln(x)[/tex]

Hence, the given logarithmic expression [tex]ln(x^5)[/tex] can be expressed as 5*lnx.

To learn more about logarithmic expressions, visit:

https://brainly.com/question/20473168

#SPJ1

The equation of line that passes through the given point is y = 4.

Given line : y = 7​

So, the slope (m₁ = 0 )

Let's consider the slope of the line perpendicular to the given line as m₂,

m₁ * m₂ = -1

m₂ = 0

Now,

The equation of the line perpendicular to the given line and passing through the point (−8,4) will be

y−y₁ = m(x−x₁)

y−4 =  0(x−(−8)

y-4 = (0)(x+8)

y -4 = 0

y = 4

Thus, the equation of the required line is y = 4.

To know more equation check the below link:

https://brainly.com/question/3493733

#SPJ1

I did not understand part A but the answer for part B is OB. $80. hope this helps!