Find the inverse of:f (x) = 4x3 + 1

Answer:

It's D.

Step-by-step explanation:

Answer:

the last one

Step-by-step explanation:

i took the test

If you plug x = 3 into choice A, then you dont have any division by zero errors or square roots of negative values.

Choice B in contrast has x-9 = 3-9 = -6 under the square root, so this leads to an imaginary/complex result. Choice D is similar.

Choice C will have zero in the denominator after plugging in x = 3 since x^2-9 = 3^2-9 = 9-9 = 0.

Answer: $8

From the table given, we obtained the below information

Number of cars Money ($)

5 40

10 80

15 120

20 160

Calculate the constant rate of change in dollars per car

For the first given data

The total number of cars washed is 5

The total money to washed the 5 cars is $40

Rate of change in dollars per car = Total amount of money / the total number of cars

Rate of change = 40 / 5

= $8

The same procedure applicable to the rest data

For 10 cars and $80

The rate of change in dollars per car =80/10

= $8

For 15 cars and $120

The rate of change in dollars = 120 / 15

= $8

For 20 cars and $160

The rate of change in dollars per car = 160 / 20

= $8

The constant rate of change in dollars per car is $8

The answer is $8

The solution to the equation 83x + 1 = 16, rounded to the nearest thousandth, is x = 0.181, the key features of the function f(x) = 83x + 1 are; y-intercept; (0, 1), and Asymptote; None.

To solve 83x + 1 = 16, we need to isolate x on one side of the equation. We can do this by subtracting 1 from both sides and then dividing by 83;

83x + 1 - 1 = 16 - 1

83x = 15

x = 15/83

Rounded to the nearest thousandth, x is approximately 0.181.

Therefore, the solution to the equation 83x + 1 = 16, rounded to the nearest thousandth, is x = 0.181.

The function f(x) = 83x + 1 is a linear function in the form y = mx + b, where m is the slope and b is the y-intercept. Therefore;

The y-intercept is (0, 1), since b = 1.

The function does not have an asymptote, since it is a linear function and it does not approach any particular value as x increases or decreases.

So the key features of the function f(x) = 83x + 1 are;

y-intercept; (0, 1)

Asymptote; None.

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i think it is C

Step-by-step explanation:

Answer:

1 or D

Step-by-step explanation:

The correct answer is: c. The n-th error term (e_n) can be predicted with e_n = 0.91 * e_n - 1.

This statement indicates that there is a correlation or relationship between consecutive error terms, where the n-th error term can be predicted based on the previous error term. In a simple linear regression model, the error terms are assumed to be independent and have no correlation with each other.

However, if there is a correlation between the error terms, it violates the assumption of independence, which can lead to biased and unreliable regression results. Therefore, this condition suggests that the result from the simple linear regression model could be potentially misleading.

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When researchers conduct an experiment comparing two different treatment conditions, they are likely to be more concerned with internal validity than external validity.
Internal validity refers to the extent to which the results of an experiment can be attributed to the manipulation of the independent variable, rather than other factors. External validity, on the other hand, refers to the extent to which the results of an experiment can be generalized to other situations or populations. When comparing two different treatment conditions, researchers are typically more concerned with ensuring that the differences observed are due to the treatments themselves, rather than other factors, which is why they are more concerned with internal validity.

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The missing part of the equation is \(-7.0\times10^4 s^2kg⋅m^2 / 1000000.\)

To fill in the missing part of the equation, let's analyze the given information and the desired conversion. The equation is:

\((-7.0\times 10^4 s^2g⋅m^2)\cdot \pi = ? s^2kg\cdot m^2\)

In this equation, we have a quantity expressed in\(s^2g\cdot m^2\) units on the left-hand side. To convert it to \(s^2kg\cdot m^2\) units, we need to multiply it by a conversion factor.

To perform the conversion, we can use the fact that 1 kg is equal to 1000 g. Therefore, the conversion factor we need is:

1 kg / 1000 g

To ensure that the units cancel out correctly, we need to square this conversion factor because we have \(s^2g\cdot m^2\) on the left-hand side. So the missing part of the equation is:

\((-7.0\times 10^4 s^2g\cdot m^2)\cdot \pi = (-7.0\times 10^4 s^2g\cdot m^2)\cdot (1 kg / 1000 g)^2\)

Simplifying this expression, we get:

\((-7.0\times10^4 s^2g\cdot m^2)\cdot \pi = -7.0 \times10^4 s^2kg\cdot m^2 / 1000000\)

Therefore, the missing part of the equation is \(-7.0 \times 10^4 s^2kg\cdot m^2 / 1000000.\)

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Answer:

Step-by-step explanation:

Answer: So that means it would take him 7.9 minutes to run a mile

Step-by-step explanation:

Divide your run distance by your run time.

If you ran 2.5 miles and you ran for 20 minutes: 2.5 mi ÷ 20 min = 0.125 miles per minute. So the answer would be

15 miles= 79200

79200 divided by 120=660

Answer:

Explanation: Over the summer, Nancy exercised daily, and her weight went 145 pounds to 132 pounds. we need to find the percent change:

Change in weight is:

Change is percent is:

The angle is 25 degrees

Let the measure of the angle be x

So, we have

Complement = 90 - x

Supplement = 180 - x

The sum is 220

So, we have

90 - x + 180 - x= 220

Evaluate the sum

-2x + 270 = 220

Solve for x

x = 25

Hence, the angle is 25 degrees

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Answer:

Step-by-step explanation:

Total spools of thread bought by Mrs hunt = 6spools

Indigo thread = 10m long

Red thread = 4m long

If Mrs. Hunt bought 30 metres of thread in total, this means she can only buy 1 indigo thread not 2 in order to be able to buy equal amount of red thread without any left over length.

Since 1 indigo thread = 10m,

remaining meter of thread left = 30m - 10m = 20m metres

This means she has 20metres of red thread to buy.

Since 1 red thread = 4m

x red thread = 20m

Cross multiplying;

x * 4 = 20

x = 20/4

x = 5

This means she can buy 5 red threads with the remaining metres of thread.

In total Mrs. hunt bought 1 indigo thread and 5 red thread

Answer:

ok?

Step-by-step explanation:

Answer:

The probability of each is 1/33

Step-by-step explanation:

From the question, we are told that all has an equal chance of occurrence

Mathematically, to get the probability of one of the events, we need to divide the total probability of 1 by the number of values

Thus, we have this as;

1/33

Answer:

42%

Tell me if you need expalining!

Step-by-step explanation:

Answer:

134:346 Add the 33 to 101 to get first number, then total number of parks 346 is the second number, they may end up wanting you to to reduce the fraction.67:143

Answer: 25g/cm3

Step-by-step explanation: The formula for density is mass÷volume. There is no need to convert the mass since it is already in grams.

Answer:

Markup, 42% profit

Step-by-step explanation:

(someone check this)

Perimeter of a triangle is the sum of measures of its all three sides, let the other be y,

we know,

\( \hookrightarrow \: y + 3x + 2 + 4x - 9 = 16x - 6\)

\( \hookrightarrow \: y + 7x - 7 = 16x - 6\)

\( \hookrightarrow \: y = 16x - 6 - 7x + 7\)

\( \hookrightarrow \: y = 6x + 1\)

hence, measure of the third side is 6x + 1

Answer:

C. 1

Step-by-step explanation:

2cos²(x) - cos(2x) = 1

Answer:

C

Step-by-step explanation:

Using the identity

cos2x = 2cos²x - 1 , then

2cos²x = cos2x + 1

Given

2cos²x - cos2x

= cos2x + 1 - cos2x

= 1 → C

commas and capital letters

Answer:

Start at (0,1) and then go up 4 spaces over 1 to the left and repeat going up 4 over 1. To complete the graph by getting it to go behind the y intercept of (0,1) you go from the y intercept down 4 over 1 to the right and repeat going down 4 over 1.

For plotting a line, we need to plot points \((0,1)\) and \((\frac{-1}{4},0)\) on the cartesian plane and join them to form a line.

For plotting a line, we only need two points to graph a line. With that idea, we take advantage of the two “convenient” points which can easily be solved algebraically from the equation of the line; namely, the x-intercept (x,0) and y-intercept (0,y).

\(y = 4x + 1\\\\Put\ x = 0 \\y = 1\\we\ get\ (0,1)\ as\ a\ point\ lying\ on\ the\ line. \\\\Put\ y = 0 \\x = \frac{-1}{4} \\we\ get\ (\frac{-1}{4} ,0)\ as\ a\ point\ lying\ on\ the\ line. \\\)

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45divided by 3=15

15+2multiplied by 8 -12+42

First multiple 2 and 8=16

15+16-12+42

15+16=31

31-12+42

31-12=19

19+42=61

Answer is61

a. The equation of a line is that depicts the relationship between distance and time is: y = mx + b. b. The graph is a straight line. c.  A car will drive 0 miles for 0 hours (s). It will pass through the point (0,0).

A line's slope serves as a gauge for its steepness. The ratio of the vertical change (rise) to the horizontal change (run) between any two locations on the line is what is referred to as the slope.

The rate of change of the dependent variable (y) in relation to the independent variable can also be calculated from the slope of a line (x). In the problem above, for instance, the slope of the line indicates the car's speed, which is the rate at which the distance travelled with regard to time changes.

a. The formula for the equation of a line can be used to express the equation of the line that depicts the relationship between distance and time is: y = mx + b.

b. The graph of the relationship between distance and time is a straight line.

Here, y = (144 miles / 3 hours) x

y = 48x

c. A car will drive 0 miles if it travels for 0 hours (s). This implies that it will pass through the point (0,0). Move 3 units to the right of the origin using the slope and 144 unit(s) up to locate the spot (3,144), which can be used to graph the connection.

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Answer:

Step-by-step explanation:

Answer: the correct graph is the one that shows a horizontal segment, followed by a positive slope segment, followed by a flat segment, and then a negative slope segment that is option c.

What is graph?

In mathematics, a graph is a visual representation of a set of objects and the connections between them. The objects, which are often called vertices or nodes, are typically represented by points or circles on the graph. The connections between the objects, which are often called edges or arcs, are typically represented by lines or curves connecting the points or circles.

Here,

To represent Marie's situation in a graph, we need to plot her golf cart's distance from the first hole over time. Let's analyze the given information to determine what the graph should look like.

For the first 30 minutes, Marie stayed at the first hole, so her distance from the first hole would be 0 during that time.

For the next 2 hours, Marie drove away from the first hole. Her distance from the first hole would increase during this time.

After 2 hours of driving, Marie stopped for lunch. Her distance from the first hole would remain constant during this time.

After lunch, Marie took 2 more hours to drive back to the first hole. Her distance from the first hole would decrease during this time.

The x-axis represents time in hours, and the y-axis represents distance from the first hole in miles. The graph starts at the origin, where the golf cart stays for the first 30 minutes, and then goes up with a positive slope for 2 hours as the golf cart moves away from the first hole. Then, the graph remains flat for 1 hour during lunch, before going down with a negative slope for 2 hours as the golf cart returns to the first hole.

As a result, the right graph is option c, which displays a horizontal section followed by a positive slope segment, a flat segment, and then a negative slope segment.

Step-by-step explanation:

It took Paul a total of 12 hours and 40 minutes to complete all three parts of the Ironman triathlon.

Paul’s time for swimming in the Ironman triathlon was 1 hour 25 minutes. Her time for biking was 5 hours longer than her swimming time, so her biking time was (1 hour + 5 hours) = 6 hours 25 minutes. She ran for 4 hours 50 minutes. The total time it took her to complete all three parts of the race is (1 hour 25 minutes) + (6 hours 25 minutes) + (4 hours 50 minutes) = 12 hours 40 minutes.

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Answer:

3 years

Step-by-step explanation:

We would like to calculate in how much time Rs 1200 will become Rs 1632 at the rate of 12% per annum. Firstly we know that the SI can be calculated by ,

\(\longrightarrow \langle\pink{{\boldsymbol{ SI =\dfrac{Principal \times Rate \times Time }{100}}}}}\rangle\)

Also the total amount is calculated by adding SI and the initial amount ; as ,

\(\longrightarrow \pink{{\boldsymbol{ Amount= Principal + SI }}}\)

Firstly lets find SI as ,

\(\longrightarrow SI = Rs 1632-Rs1200\\ \)

\(\longrightarrow SI = Rs 432 \)

Using the first formula stated above, we have;

\(\longrightarrow Rs 432=\dfrac{(Rs 1200)(12)(t)}{100}\\ \)

\(\longrightarrow t =\dfrac{ 432\times 100}{1200\times 12} yrs \\\)

Simplify,

\(\longrightarrow \boldsymbol{\underline{\underline{{ time = 3\ years }}}} \)

And we are done!

Answer:

x=6

Step-by-step explanation:

(5x+30)+80=140

5x+110=140

5x=30

x=6

answer: B