Mathematics College

Given that f(x) = x2+1 and g(x) = -3 find (f•g)(x)

Answers

Answer 1

Answer:

$x^2-3$

Step-by-step explanation:

Given that f(x) = $x^2+1$ and g(x) = -3 find (f•g)(x)

(f•g)(x) = f(x) • g(x)

$x^2+1*-3$

$x^2+(-3)$

$x^2-3$

Hope this helps!

Related Questions

The diagram shows EFG. Which term describes point H?
A. Circumcenter
B. Incenter
C. Orthocenter
D. Centroid

Answers

Point H is the ortho-center of our given triangle and option c is the correct choice.

We have been given an image of a triangle. We are asked to find the term that describes point H.

We can see that point H is the point, where, all the altitudes of our given triangle EFF are intersecting.

We know that ortho-center of a triangle is the point, where all altitudes of triangle intersect. Therefore, point H is the ortho-center of our given triangle and option c is the correct choice.

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The diagram shows EFG. Which term describes point H?A. CircumcenterB. IncenterC. OrthocenterD. Centroid

Janelle is planning to rent a car while on vacation. The equation C=0.32m + 15 models the relation between the cost in dollars, C, per day and the number of miles, m,she drives in one day. Find the cost on a day when Janelle drives the car 400 miles.

Answers

Answer:

cost when 400 miles is driven is $143.

Step-by-step explanation:

Model for cost calculation: C=0.32m + 15

We have to find cost when no. of miles driven is 400.

To find that cost we need to plug 400 in place of m.

C=0.32m + 15

=> c = 0.32*400 + 15

=> c = 128 + 15 = 143

Thus, cost when 400 miles is driven is $143.

Answer:

The C-intercept, 15, means that if Janelle drove 0 miles on a particular day it would cost her 15 dollars to rent the car for that day.

BRAINLEST☻
Which relation symbol makes this number sentence true?

1/6 ___ 3/18

=

≠

Answers

The answer for your question is the equal sign

What’s the correct answer for this?

Answers

Answer:

Step-by-step explanation:

In the attached file

Gabriel multiplied a number by 5 instead of 3. The answer that he got was
12 more than the correct answer. What was the original number?

Answers

Answer:6

Step-by-step explanation:

The original number that was multiply by 5 instead of 3 is 6.

What is the orignal number?

The equation that can be used to represent the informatioin in the question is:

5x - 3x = 12

Where x is the original number

In order to determine the value of x, take the following steps

Combine similar terms: 2x = 12

Divide both sides by 2

x = 6

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Sarah is having a birthday party. She plans to give everyone 1-1/2 cups of ice cream. If she plans to serve 10 people, including herself, how much ice cream does she need?

Answers

Answer:

5 cups

Step-by-step explanation:

Which one of the following bonds has the most ionic character?
A) B-F
B) Li-F
C) H-F
D) Be - F

Answers

The bond which has the most ionic character among the given answer choices as required is; Choice B; Li-F.

Which answer choice represents the most ionic character?

By definition, an ionic bond is one in which case, the bond is formed from the combination of highly electronegative and highly electropositive elements.

On this note, since the Lithium atom is the most electropositive metal and the Flourine ion is the most electropositive nonmetal, it follows that the bond which has the most ionic character is; Choice B; Li-F.

Answers

Answer:

Step-by-step explanation:

Check the picturee need helppp

Answers

You didn’t post a picture??

Find the area of a dodecagon with a radius of 20 cm. round your answer to the nearest tenth.

Answers

Answer:

The area is 1200cm²

Explanation:

To solve this problem, we need to find the side length. We can divide the dodecagon in isosceles triangles

The angle A we can calculate it, because the dodecagon is composed by 12 triangles like this. Since the sum of all angles A add up to a whole circle:

$\angle A=\frac{360º}{12}=30º$

Since each triangle is an isosceles triangle, the two angles at the bottom are the same. Also, the sum of the internal angles of a triangle is 180º. Then:

$\begin{gathered} A+B+B=180º \\ 30º+2B=180º \\ B=\frac{180º-30º}{2} \end{gathered}$$B=75º$

And finally, we can calculate x, which is half of the length of each side, using trigonometric relationships. In this case, we can use cosine:

$\cos(B)=\frac{x}{r}$

Then:

• B = 75º

• r = 20cm

$\begin{gathered} \cos(75º)=\frac{x}{20cm} \\ x\approx5.176cm \end{gathered}$

Then, the length of the side is twice x:

$L=2\cdot5.18cm=10.35cm$

Now we can use the formula for the area of a dodecagon:

$A=3(2+\sqrt{3})\cdot L^2$

Then:

$A=3(2+\sqrt{3})(10.35)^2=1200cm^2$

The area is 1200 squared cm.

A radio talk show host with a large audience is interested in the proportion p of adults in his listening area who think the drinking age should be lowered to 18. He asks, 'Do you think the drinking age should be reduced to 18 in light of the fact that 18 year olds are eligible for military service? He asks listeners to phone in and vote "yes" if they agree the drinking age should be lowered and "no" if not. Of the 100 people who phoned in, 70 answered "yes." The margin of error for a 90% confidence interval is

a. 0.045.
b. 0.074.
c. 0.089.
d. 0.690.

Answers

Answer:

$ ME = 1.64\sqrt{\frac{0.7 (1-0.7)}{100}}= 0.074$

And the best answer would be:

b. 0.074.

Step-by-step explanation:

For this case we have the following info given:

$ X= 70$ represent the number of people who answer yes for the question

$ n= 100$ the sample size selected

$\hat p =\frac{X}{n}=\frac{70}{100}= 0.7$ the proportion estimated of people who answer yes

The margin of error is given by:

$ ME = z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$

The confidence level is 90% and the significance would be $\alpha=0.1$ and the critical value would be:

$ z_{\alpha/2}= 1.64$

And replacing we got:

$ ME = 1.64\sqrt{\frac{0.7 (1-0.7)}{100}}= 0.074$

And the best answer would be:

b. 0.074.

Please help me find the area of the decagon.

Each side measures 9.15 cm
From the center of the shape to the midpoint of each side of the polygon, it is 14.26 cm

Answers

The area of the decagon is approximately 312.2 cm2. This can be calculated using the formula A = (1/2) × 10 × 14.26^2 × sin (36°).

Find the area of the decagon?To find the area of the decagon, we need to use the formula A = (1/2) * ap * p, where ap is the apothem (the distance from the center of the decagon to the midpoint of a side) and p is the perimeter (the sum of all the sides).

A = (1/2) * 14.26 cm * (9.15 cm * 10)

A = (1/2) * 14.26 cm * 91.5 cm

A = 654.71 cm^2

To find the area of a decagon, you must use the formula A = 1/2 × ap × s, where a is the apothem, p is the perimeter, and s is the length of each side. The apothem is the distance from the center of the shape to the midpoint of each side. The perimeter is the sum of the lengths of all the sides.First, calculate the apothem. The distance from the center of the decagon to the midpoint of each side is 14.26 cm. Therefore, the apothem is 14.26 cm.Next, calculate the perimeter. The length of each side is 9.15 cm, so the perimeter is 9.15 cm × 10, or 91.5 cm.Finally, plug the apothem and perimeter into the area formula and solve. A = 1/2 × 14.26 cm × 91.5 cm = 654.9 cm2. Therefore, the area of the decagon is 654.9 cm2.

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Pls help me I really nee it pls pls pls pls

Answers

The answer is a because it is

What is the solution to the following inequality?
|3x -8|< 2
Answers below

Answers

Answer:

Step-by-step explanation:

A recipe calls for ½ cup of
flour. Kenneth has 3 and 1/4
cups of flour. How many
batches of the recipe can
he make?

Answers

Answer:

Step-by-step explanation:

In 3 cups you have 6 half cups with the remainder being 1/4 of a cup.

Answer:

If we're talking whole batches then I'm pretty sure you can make six batches

Identify the points in Figure 2 that correspond to the points A and C in Figure 1. Label them p and r . What is the distance between p and r ? Identify the points in Figure 1 that correspond to the points q and s in Figure 2. Label them b and d . What is the distance between b and d ? What is the scale factor that takes Figure 1 to Figure 2? g and h are two points on Figure 1, but they are not shown. The distance between g and h is 1. What is the distance between the corresponding points on Figure 2?

Answers

Based on the graph of Figure 2 (see attachment), the distance between P and R is equal to 6 units.Based on the graph of Figure 1 (see attachment), the distance between B and D is equal to 3 units.The scale factor that takes Figure 1 to Figure 2 is equal to 1:3.Since GH is equal to 1 unit, the distance between the corresponding points on Figure 2 is equal to 3 units.

What is a point?

A point can be defined as a zero dimensional geometric object and it is generally represented by a dot.

What is scale factor?

A scale factor can be defined as the ratio of two (2) corresponding length of sides or diameter in two similar geometric figures such as equilateral triangles, planets in our solar system, etc.

How to calculate the distance between P and R?

Based on the graph of Figure 2 (see attachment), the distance between P and R is given by:

The length of PR = 6 units.

How to calculate the distance between B and D?

Based on the graph of Figure 1 (see attachment), the distance between B and D is given by:

The length of BD = 3 units.

Based on the graph of Figure 1 (see attachment), the distance between Q and S is given by:

The length of QS = 9 units.

The scale factor that takes Figure 1 to Figure 2 can be calculated as follows:

Scale factor = BD/QS

Scale factor = 3/9

Scale factor = 1/3 = 1:3.

Since GH is equal to 1 unit, the distance between the corresponding points on Figure 2 is given by:

Distance = 3 units.

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Identify the points in Figure 2 that correspond to the points A and C in Figure 1. Label them p and r

Aanya lives in Ohio. She immigrated with her family from India to North America. Aanya wants to visit a cousin in Toronto by driving. The gate person at the Peace Bridge in Buffalo, NY tells her that Toronto is 500 km north on Highways 400/401. How far is that in miles? After Aanya arrives, she and her cousin compare efficiencies of their cars. Aanya’s car averages 30 mi/gallon, but she needs to convert that to km/liter. Using the conversions 1 km = 0.62 mi, 1 mi = 1.61 km, and 1 qt = 0.946 liters, determine the distance from the Peace Bridge to Toronto in miles and the efficiency of Aanya’s car in km/liter (hint on the latter—first get km/gallon, then km/liter). Both parts of an answer must be correct.

(a) 300 mi, 48.3 km/liter (b) 310 mi, 12.76km/liter (c) 320 miles, 14 km/liter

(d) 330 miles, 7.5 km/liter (e) 620 miles, 48.3 km/liter (f) none of the above

Answers

Answer:

(b) 310 mi, 12.76km/liter

Step-by-step explanation:

We are told that Toronto is 500 km north on Highways. Since 1 km = 0.62 mi, then Toronto is: 500 × 0.62 = 310 miles

Aanya’s car averages 30 mi/gallon.

We are told that 1 mi = 1.61 km

Thus, her average is now;

30 × 1.61 km/gallon = 48.3 km/gallon

We are told that 1 qt = 0.946 liters

But also, 0.25 gallon = 1 qt

Thus;

0.25 gallon = 0.946 litres

Thus, 1 gallon = 0.946/0.25 litres = 3.784 litres

Thus, 48.3 km/gallon to km/litres = 48.3/3.784 = 12.76 km/litres

Answer is 310 miles and 12.76 km/litres

BRGis a 30° -60°-90° triangle. The hypotenuse of BRGhas a length of 28 feet and m

Answers

As per given by the question,

There are given that a right angle trinfle BRG.

Now,

From the tringle BRG, the hypotenuse is 28 ft, and angle B is 30 degree.

To find the length RG, first let RG is x.

Now,

Here find the value of x, use sine trigonometric function.

So,

$\sin 30^{\circ}=\frac{RG}{BG}$

Then,

Put the value 28 for BG and x for RG.

So,

$\begin{gathered} \sin 30^{\circ}=\frac{RG}{BG} \\ \sin 30^{\circ}=\frac{x}{28} \\ \frac{1}{2}=\frac{x}{28} \\ 2x=28 \end{gathered}$

Now,

$\begin{gathered} 2x=28 \\ x=\frac{28}{2} \\ x=14\text{ ft} \end{gathered}$

Hence, the option first is correct.

The practice of providing help and advice to people in a community before they have to ask for it is called? A sponsor OR B outreach

Answers

Answer:

Step-by-step explanation:

B im pretty sure hope its right

A boy wants to jump onto a carousel that is spinning at a rate of 14 revolutions per minute. if the carousel is 23 feet in diameter, how fast must the boy run to match the speed of the carousel and jump on?

a. 2.68 feet per second
b. 1,011.59 feet per second
c. 33.72 feet per second
d. 16.86 feet per second

Answers

Answer:

16.86 ft/s

Step-by-step explanation:

Given that,

Angular speed of a carousel, $\omega=14\ rev/min$

The diameter of the carousel, d = 23 feet

We need to find the speed of the carousel and jump on.

$\omega=14\ rev/min=1.46\ rad/s$

Radius, r = 11.5 feet

Let v is the velocity. So,

$v=r\omega\\\\=11.5\times 1.46\\\\=16.79\ ft/s$

Hernce, the correct option is (d) "16.86 ft/s"

What is the slope m of the graphed line

Answers

It’s probably 0 I guess

StartFraction 32 Over 8 EndFraction = StartFraction 28 Over x EndFraction
a.
x = 4
c.
x = 8
b.
x = 28
d.
x = 7

Answers

Answer:

d. x = 7

Step-by-step explanation:

$\frac{32}{8} = \frac{28}{x}$

Cross multiply, the denominator "8" is multiplied by numerator "28", while the numerator "32" is multiplied by denominator "x":

8 * 28 = 224

32 * x = 32x

$32x = 224$

Divide both sides by 32:

$\frac{32}{32} = \frac{224}{32}$

[x = 7]

2/3-×+3/×+3=6x/x2-9

Answers

hi there! if you're asking us to simplify this equation, here is my answer for you...

Answer:

x = 2.09716754…

hope this helped. have a good one!

The product of a number and 7 less than the number is 60. Find the number.

Answers

Either 1, 2, 3, 4, 5, 6,m 7, and 8.

*Today's Assignment*

Design a salary slip for the month of March 2023 with information given below.

Fixed vs variable ratio- 70:30
Ctc - 18L
Basic- 50%
Hra- 20%
Da - 12%
Insurance - 2500
Incentive- 75% target completion
Pf 12%
Earned leaves - 2
LOP - 4
Calculate net pay

Answers

A salary slip for the month of March 2023 with information given below.

Salary Slip - March 2023

Employee Details:

Name: [Employee Name]

Employee ID: [Employee ID]

Designation: [Employee Designation]

Earnings:

Basic Salary: [Basic Salary]

House Rent Allowance (HRA): [HRA]

Dearness Allowance (DA): [DA]

Incentive: [Incentive]

Total Earnings: [Total Earnings]

Deductions:

Provident Fund (PF): [PF]

Insurance: [Insurance]

Loss of Pay (LOP): [LOP]

Total Deductions: [Total Deductions]

Net Pay: [Net Pay]

Breakdown:

Basic Salary: 50% of CTC (18L) = [Basic Salary]

HRA: 20% of Basic Salary = [HRA]

DA: 12% of Basic Salary = [DA]

Incentive: 75% of target completion = [Incentive]

Total Earnings = Basic Salary + HRA + DA + Incentive = [Total Earnings]

PF: 12% of Basic Salary = [PF]

Insurance: Rs. 2500 = [Insurance]

LOP: [LOP]

Total Deductions = PF + Insurance + LOP = [Total Deductions]

Net Pay = Total Earnings - Total Deductions = [Net Pay]

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Rakim's goal is to have at least $500 in his checking
account at the end of the year. The table shows his
activity for the month of January. Will Rakim make his
goal if the month of January's activity is representative
of how much he will save and spend each month?
Explain.

Answers

Answer:

Each month he will save $ 50

Each month he will spend $1,250

Raking will have $600 in his checking account at the end of the year.

Step-by-step explanation:

1300 - 500 - 750 = $50

$50 x 12 month = $600

The required amount Rakim saves and sped each month is $50 and $1250.

Given that,
Rakim's goal is to have at least $500 in his checking account at the end of the year. The table shows his activity for the month of January. Will Rakim make his goal.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
According to the question,
Total money he has = 1300
Total money spend = 750 + 500 = 1250
Money he save = 1300 - 1250 = 50
For the condition of at end of the year he must have at least $500
So,
Yearly saving = 50 × 12 = $600, which greater than $500.

The required amount Rakim saves and sped each month is $50 and $1250.

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HELP ME!!!!
ZEARN!!!!!!!!!

Answers

A common denominator is a shared multiple of the denominators of the fractions involved when adding or subtracting fractions. It enables fraction comparison and addition/subtraction.

Simplification is the process of reducing a fraction to its simplest form by dividing the numerator and denominator by their greatest common divisor. This is done to represent fractions in the simplest terms viable.

Conversion: The process of transferring a fraction from one form to another while retaining its equal value is known as conversion. Finding a common denominator or expressing a fraction in terms of a specified unit or fraction may be required.

Fraction Addition/Subtraction: When adding or subtracting fractions, a common denominator is required. This entails determining a common multiple of

To rewrite the expression 3 + 1/5 + 2/3 using fifteenths as the common denominator, we need to find a common denominator for 5 and 3, which is 15 (since 5 and 3 are both factors of 15).

First, let's convert the fractions 1/5 and 2/3 to fifteenths:

$(\frac{1}{5})(\frac{3}{3}) = \frac{3}{15}$

$(\frac{2}{3})(\frac{5}{5}) = \frac{10}{15}$

Now we can rewrite the expression using the common denominator:

$3 + \frac{3}{15}+\frac{10}{15}$

I need expert answers for this

Answers

The last expression finally simplifies to cot β + tan α using quotient identity in trigonometric identities.

How to prove Trigonometric Identities?

We want to verify the trigonometric identity;

cos (α - β)/(cos α sin β) = cot β + tan α

Now, according to trigonometric identities in mathematics, we know that;

cos (α - β) = (cos α cos β) + (sin α sin β)

Thus, plugging that back into our left hand side of the main question gives;

[(cos α cos β) + (sin α sin β)]/(cos α sin β)

Rewriting this expression by separating the denominator gives;

[(cos α cos β)/(cos α sin β)] + [(sin α sin β)]/(cos α sin β)

Using quotient identities, this can be simplified to;

cot β + tan α

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In October of 2019, Gallup asked a random sample of 1,506 Americans which of two approaches to punishing murder they thought was better, the death penalty or life without possibility of parole. For the first time since Gallup began asking the question in 1985, a majority of Americans now say life imprisonment is a better approach for punishing murder than is the death penalty. According to the 2019 Gallup death-penalty poll, 60% percent of Americans asked to choose whether the death penalty or life without possibility of parole "is the better penalty for murder" chose the life-sentencing option. 36% favored the death penalty.

Required:
a. Find a 95% confidence interval for the proportion adults in the US that now believe life imprisonment is a better approach for punishing murder.
b. Interpret your interval above in the context of this problem.
c. Use your interval to find the margin of error associated with this confidence interval.
d. If we increase the level of confidence to 98%, will the interval be wider or narrower?

Answers

Answer:

The 95% confidence interval is $0.5753< p <0.62474$

This 95% confidence interval tell us that there 95% confidence that the true proportion of adults in the US that now believe life imprisonment is a better approach for punishing murder lies within the interval

The margin of error is $E = 0.02474 $

The confidence interval becomes wider

Step-by-step explanation:

From the question we are told that

The sample size is n = 1506

The sample proportion is $\^ p = 0.60$

From the question we are told the confidence level is 95% , hence the level of significance is

$\alpha = (100 - 95 ) \%$

=> $\alpha = 0.05$

Generally from the normal distribution table the critical value of $\frac{\alpha }{2}$ is

$Z_{\frac{\alpha }{2} } = 1.96$

Generally the margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} } * \sqrt{\frac{\^ p (1- \^ p)}{n} } $

=> $E = 1.96 * \sqrt{\frac{0.60 (1- 0.60)}{1506} } $

=> $E = 0.02474 $

Generally 95% confidence interval is mathematically represented as

$\^ p -E < p < \^ p +E$

=> $0.60 - 0.02474 < p <0.60 + 0.02474$

=> $0.5753< p <0.62474$

Generally the level of confidence varies directly with the critical value of $\frac{\alpha }{2}$ and this in turn varies directly with the margin of error which when sample proportion is constant it determines the width of the confidence interval so when the level of confidence increases the confidence interval becomes wider

Which of the following is an example of continuous data?
• A. The number of marbles selected at random from a bag
• B. The wait time at a bus station
C. How many windows there are in a house
• D. The sum of the numbers when two number cubes are rolled

Answers

The example that is a continuous data is B. The wait time at a bus station

Which of the example is a continuous data?

From the question, we have the following parameters that can be used in our computation:

The list of options

By definition, a continuous data is a data that can take any value including decimals

From the list of options, we have:

B. The wait time at a bus station

The wait time can be 1.25 hour and it can be 1 hour ie. decimal and integer

Hence, the continuous data is B. The wait time at a bus station