PLZ HELP

What is the inverse of the function f(x) = x +3?

O h(x)=1/3x+3

O h(x)=1/3x-3

O h(x)=x-3

O h(x)=x+3

The First graph represents the equation y = 3x

The y intercept = 1.5

The horizontal asymptote = infinity

The y -intercept is a point at which the graph of the function touches the y -axis. It is only possible for a function to have zero or one y -intercept.

A horizontal asymptote of a graph is a horizontal line y = b where the graph approaches the line as the inputs approach ∞ or –∞.

Therefore the y intercept is 1.5 from the graph. and the horizontal asymptote is infinity

The power of the numerator is great than that of denominator.

3x²/1x^0

= 2/0

= infinity.

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Answer:

80%

Step-by-step explanation:

1. We assume, that the number 56 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 100% equals 56, so we can write it down as 100%=56.

4. We know, that x% equals 44.8 of the output value, so we can write it down as x%=44.8.

5. Now we have two simple equations:

1) 100%=56

2) x%=44.8

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

100%/x%=56/44.8

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 44.8 is what percent of 56

100%/x%=56/44.8

(100/x)*x=(56/44.8)*x       - we multiply both sides of the equation by x

100=1.25*x       - we divide both sides of the equation by (1.25) to get x

100/1.25=x

80=x

x=80

now we have:

44.8 is 80% of 56

Answer:

Hi there!!

Your answer is:

44.8 is 80% of 56!

Step-by-step explanation:

56 = 100%

/56

1 = 1 &11/14

×44.8

44.8 = 80%

I hope this helps!

The expression in the simplified form is '1 over the quantity x raised to the sixth power times y raised to the third power end quantity'. Then the correct option is A.

Variable-based math is the investigation of dynamic images, while rationale is the control of that multitude of thoughts.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is utilized to answer the issue accurately and totally.

Simplify x raised to the negative sixth power over y raised to the third power.

Convert the sentence into an expression, then we have

\(\rm \rightarrow \left ( (x)^{y^3} \right )^{-6}\\\\\rightarrow \left ( \dfrac{1}{(x)^{y^3}} \right )^{6}\\\)

The expression in the simplified form is '1 over the quantity x raised to the sixth power times y raised to the third power end quantity'. Then the correct option is A.

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Answer:

5.136 is 5.1 to the nearest tenth

We know that seventeen more than four times a number is equal to the difference between 29 and twice the number and we need to find the number.

To find the number we can use expressions

1. seventeen more than four times a number

We can represent this as

2. the difference between 29 and twice the number

We can represent this as

Now, since seventeen more than four times a number is equal to the difference between 29 and twice the number we can equal the two expressions

Where, x represents the number we need to find

Finally, we must solve the equation for x

Then, the number is 2

ANSWER:

The number is 2.

All of the equations are using the expanded form of exponents.

Answer: They are both perfect squares and perfect cube

Step-by-step explanation:

By finding the square and cube root of all the numbers, you will notice they are all whole numbers.

1 = 1 and 1.

64 = 8 and 4

729 = 27 and 9

4096 = 64 and 16

The given higher order differential equation is: y''' − 2y '' − y ' 2y = e xHere is the solution of the given differential equation:y''' − 2y '' − y ' 2y = e xStep 1: Homogeneous equation: y''' − 2y '' − y ' 2y = 0Let's assume the solution of homogeneous differential equation:y = e mxSubstitute it into the given homogeneous differential equation:y''' − 2y '' − y ' 2y = 0(m³ - 2m² + m)e mx = 0(m - 1)² m e mx = 0 Solution of this homogeneous differential equation: y = c1e x + c2xe x + c3x²e x where c1, c2, c3 are arbitrary constants.Step 2: Particular integralFor the particular integral, assume y = Ae xPutting it in the given equation: y''' − 2y '' − y ' 2y = e x- A2e x + 2Ae x - Ae x = e x- A2e x + Ae x = e x(A - 1)Ae x = e xA = 1So, particular integral is y = e xStep 3: General solutionThe general solution of the given differential equation is:y = c1e x + c2xe x + c3x²e x + e xTherefore, the general solution of the given differential equation is y = c1e x + c2xe x + c3x²e x + e x.

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After 5 months the total cost at each health club be the same.

Given that, club A offers membership for a fee of $40 plus a monthly fee of $25.

Let the number of months be x.

Membership fee of club A = 40+25x ------(i)

Club B offers a membership fee of $15 plus a monthly fee of $30.

Membership fee of club B = 15+30x

The total cost at each health club be the same

40+25x = 15+30x

30x-25x=40-15

5x=25

x=25/5

x=5

Therefore, after 5 months the total cost at each health club be the same.

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"Your question is incomplete, probably the complete question/missing part is:"

You are choosing between two health clubs. Club A offers membership for a fee of $40 plus a monthly fee of $25. Club B offers a membership fee of $15 plus a monthly fee of $30.

Using variables of your choice, set-up an equation for each club’s membership cost. Make sure your variables are defined clearly.

After how many months will the total cost at each health club be the same?

That would be x+4=2x+3, so we must use substitution. Making x=1, hope that helps.

“No; (9, 22) is a solution to the system of inequalities, but 22 ft is too long to fit in the space.”

i chose this answer choice and got points for it :)

Using the perimeter of a rectangle, it is found that:

With these dimensions, the pen would have a greater perimeter than the space, thus the pen could not measure 9ft by 22ft.

---------------------

The perimeter of a rectangle of length l and width w is given by:

\(P = 2(l + w)\)

---------------------

\(P = 2(10 + 12.17) = 2(22.17) = 44.34\)

---------------------

\(P = 2(9 + 22) = 2(31) = 62\)

With these dimensions, the pen would have a greater perimeter than the space, thus the pen could not measure 9ft by 22ft.

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The total capacity of the tank is 272.675 cubic meters.

Given that,

A storage tank consist of a hemisphere and a cylinder which share a common base.

The base of both hemisphere and cylinder will be the same circle with the same radius.

Also, we have,

Height of the tank = 16.5 m

Base diameter of the cylinder = 4.7 m

Radius of the base of the cylinder = 4.7 / 2 = 2.35 m

Radius of the hemisphere = 2.35 m

Height of the cylinder = Total height of the tank - Height or radius of the hemisphere

Total capacity of the tank = Volume of hemisphere + Volume of cylinder

                                          = 2/3 π r³ + π r² h

                                          = 2/3 π (2.35)³ + π (2.35)² (16.5 - 2.35)

                                          = 8.652π + 78.143π

                                          = 272.675 cubic meters

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Answer:

ueueueeuhrrhjdhffjjdjffj

The value of the test statistic is 0.00.

To determine the value of the test statistic, we need to compare the proportion of adults who would erase all their personal information online (p) with the proportion who would not (q = 1 - p). In this case, the survey results indicate that 50% of the 620 randomly selected adults would choose to erase their personal information online if given the opportunity.

To calculate the test statistic, we can use the formula for the standard error of a proportion:

SE = √[(p * q) / n]

where p is the proportion of adults who would erase their personal information online, q is the proportion who would not, and n is the sample size.

Given that p = 0.50, q = 1 - p = 0.50, and n = 620, we can substitute these values into the formula:

SE = √[(0.50 * 0.50) / 620] = √[0.25 / 620] ≈ 0.00

Therefore, the value of the test statistic is approximately 0.00.

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Answer:

359.40

Step-by-step explanation:

599*.40=239.60

599-239.60=359.40

A polynomial can have as many real zeros as its degree, hence one with three degrees can have as many as three zeros.

The roots of an equation are the solution of that equation since an equation consists of hidden values of the variable to determine them by different processes and then the resultant is called roots.

A polynomial with n degrees can have as many variables as n in total.

For example, a quadratic equation ax² + bx + c = 0 is a two-degree equation so it has a maximum of two roots or zeros.

A polynomial with the given degree structure will have exactly 3 roots because it has 3 degrees.

Hence "The maximum number of real zeros in a polynomial will be same as its degree thus 3 degrees will have 3 zeros".

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Answer:

Step-by-step explanation:

(a + b)² = 37

a^2 + 2ab + b^2 = 37

---

ab = 5

a = (5/b)

----

a^2 + 2ab + b^2 = 37

(5/b)^2 + 2(5/b)b + b^2 = 37

(25/b^2) + 10 + b^2 = 37

(25/b^2) + b^2 = 27

25 + b^4 = 27b^2

b^4 - 27b^2 + 25 = 0

I don't know how to factor this expression.  The roots seem complex.

Answer:

d≈12.73cm

Step-by-step explanation:

Using the formulas

C=2πr

d=2r

Solving for d

d = c/\(\pi\) = 40/\(\pi\) ≈12.7324cm

Answer:

the answer is 86

Step-by-step explanation:

the answer is 86 because if all of her shirts are from the mall and she has 86 of them, 100% of 86 is 86

Answer:

The first one is - 5 and the other is - 40

The correct answer is C. $11,250.

To calculate the interest on a 90-day, 9% note for $50,000, we can use the simple interest formula:

Interest = Principal × Rate × Time

Given:

Principal (P) = $50,000

Rate (R) = 9% = 0.09 (decimal)

Time (T) = 90 days

Since the interest is calculated based on a 360-day year, we need to convert the time in days to a fraction of a year:

Time (T) = 90 days / 360 days = 0.25 (fraction of a year)

Now we can calculate the interest:

Interest = $50,000 × 0.09 × 0.25

Interest = $11,250

Rounded to the nearest dollar, the interest on the 90-day, 9% note for $50,000 is $11,250.

Therefore, the correct answer is C. $11,250.

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Answer:

$22

Step-by-step explanation:

Total amount of money = $46

total amount of items = 4

price of each item = $6

4 items multiplied by 6 dollars per item is 24 dollars for 4 items.

46 - 24 = 22   Six minus four is two and two minus two is two.  So, the answer is 22.

Answer:

2.5 gallons left in the tank when the gas light comes on. So depending on how many miles you get per gallon, you can probably go anywhere between 30-60 miles

Step-by-step explanation:

2.5 gallons left in the tank when the gas light comes on. So depending on how many miles you get per gallon, you can probably go anywhere between 30-60 miles

The surface area of the cylinder is 420 in^2. The base area of the cylinder is 67.02 in².

Given that the surface area of the cylinder is 420 in², we have to find its base area.

To find the base area of the cylinder, we have to use the formula for the surface area of the cylinder.

The formula is:

Surface area of the cylinder = 2πr(r + h)

Here, π = 3.14,

r is the radius of the base of the cylinder, and h is the height of the cylinder.

Since the base is a circle, the area of the base is given by the formula:

A = πr²We can calculate the radius of the cylinder using the given surface area.

420 = 2πr(r + h)420

      = 2 × 3.14 × r(r + h)420

      = 6.28 r² + 6.28 rh

Now we need to assume some value of h. For example, if we take h = 7, then we have:

420 = 6.28 r² + 6.28 r (7)

420 = 6.28 r² + 43.96 or

6.28 r² + 43.96 r - 420 = 0

Now we can solve this quadratic equation to find the value of r. Using the quadratic formula:

r = [-b ± sqrt(b² - 4ac)] / 2a

Putting a = 6.28, b = 43.96, and c = -420, we get:

r = [-43.96 ± sqrt(43.96² + 4(6.28)(420))] / 2(6.28)

r = [-43.96 ± sqrt(3291.84)] / 12.56r = (-43.96 + 57.40) / 12.56 or

r = (-43.96 - 57.40) / 12.56r = 1.10 or r = -1.82

We can discard the negative value of r, so we have:r = 1.10

Now we can calculate the base area of the cylinder using the formula for the area of a circle.A = πr²A = 3.14 × (1.10)²A = 3.14 × 1.21A = 3.80 (rounded to the nearest hundredth)

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Tax Liability = Tax on 10% Bracket + Tax on 12% Bracket + Tax on 22% Bracket + Tax on 24% Bracket

To determine Fred and Ginger's tax liability for 2021, we will use the tax formula and consider the various items of income and expenses provided. Let's go through each category step by step:

Calculate Adjusted Gross Income (AGI):

AGI = (Fred's Salary) + (Ginger's Salary) + (Interest Income on State of Arizona Bonds) + (Interest Income on US Treasury Bonds) + (Qualified Cash Dividends) + (Share of Hollywood Corporation S Corporation Income) + (Short-term Capital Gains) + (15% Long-term Capital Gains) + (Share of RKO Partnership Loss) + (Life Insurance Proceeds)

AGI = $110,000 + $125,000 + $3,000 + $8,000 + $6,000 + $30,000 + $5,000 + $30,000 + (-$10,000) + $150,000

AGI = $547,000

Determine Itemized Deductions:

Itemized Deductions = (Home Mortgage Interest) + (Home Equity Loan Interest) + (Vacation Home Loan Interest) + (Car Loan Interest) + (Home Property Taxes) + (Vacation Home Property Taxes) + (Car Tags) + (Arizona Sales Taxes Paid) + (Medical Insurance Premiums) + (Unreimbursed Medical Bills) + (Charitable Contributions)

Itemized Deductions = $18,000 + $6,000 + $8,400 + $3,000 + $6,000 + $1,800 + $950 + $6,500 + $12,000 + $10,000 + $12,000

Itemized Deductions = $95,650

Calculate Taxable Income:

Taxable Income = AGI - Itemized Deductions

Taxable Income = $547,000 - $95,650

Taxable Income = $451,350

Determine Tax Liability using the Tax Table or Tax Formula:

Based on the provided information, we'll assume Fred and Ginger are filing as Married Filing Jointly for 2021. Using the tax brackets and rates for that filing status, we can calculate their tax liability. Please note that the tax rates and brackets are subject to change, so it's important to refer to the most recent tax regulations.

Tax Liability = (Tax on 10% Bracket) + (Tax on 12% Bracket) + (Tax on 22% Bracket) + (Tax on 24% Bracket)

The taxable income falls into multiple brackets, so we'll calculate the tax liability for each bracket separately:

Tax on 10% Bracket: $0 - $19,900 = $0

Tax on 12% Bracket: $19,901 - $81,050 = ($81,050 - $19,900) * 0.12

Tax on 22% Bracket: $81,051 - $172,750 = ($172,750 - $81,050) * 0.22

Tax on 24% Bracket: $172,751 - $451,350 = ($451,350 - $172,750) * 0.24

Calculate the total tax liability:

Tax Liability = Tax on 10% Bracket + Tax on 12% Bracket + Tax on 22% Bracket + Tax on 24% Bracket

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91 percent of the 6th graders did not wear shorts to school on Friday.

To find out what percentage of 6th graders did not wear shorts on Friday, we first need to find out how many 6th graders did not wear shorts on that day.

If 27 students wore shorts, then the number of students who did not wear shorts is:

300 - 27 = 273

So, out of 300 6th graders, 273 did not wear shorts on Friday.

To find the percentage of 6th graders who did not wear shorts, we divide the number of students who did not wear shorts by the total number of 6th graders and multiply by 100.

273 / 300 = 0.91

0.91 x 100 = 91

Therefore, 91% of the 6th graders did not wear shorts to school on Friday.

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Answer:

2 6 12

Step-by-step explanation:

there are the only factor of 12 there

The largest possible value for the decimal $a. B + c. D$  us:

9.7 + 8.6 which results to 18.3.

Given that a, b, c, and d are different numbers (from 1 to 9), we are to find the largest possible value of a.b + c.d.

This problem can be answered by trial and error and with some logic. Clearly, a to d cannot be at the lower end of the values (1 to 5). Since the digits must be different, it can be a combination of digits from 6 to 9.

It is rather tempting to say that the 9.8 + 7.6 would yield the highest possible sum (=17.4) but this is incorrect. Since it is the sum of two numbers with a decimal, we have to maximize on the ones digit first before maximizing the tenths digit. Therefore: the combination of numbers must then be:

9.7 + 8.6 which results to 18.3

9.6 + 8.7 yields 18.3 as well.

Hence we get the required answer,

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Answer:

The answer is below

Step-by-step explanation:

Let C represent the boy scout with camping badge, S for boy scout with swimming badge and F for boy scout with first aid badge.

a) The number of boy scout with first aid badge = boy scout with all three badges + boy scout with first aid badges alone + boy scout with first aid and swimming badges + boy scout with first aid and camping badges

The number of boy scout with first aid badge = 2 + 5 + 6 + 3  = 16

b) The number of boy scout with camping badge or swimming badge = C ∪ S = 10 + 4 + 2 + 6 + 7 + 3 = 32

c) The number of boy scout with camping badge and first badge = C ∩ F = 6 + 2 = 8

d) The number of boy scout with swimming badge but do not have first aid badge = S ∪ F' = 4 + 7 = 11

e) The number of boy scout without camping badge = C' = 7 + 3 + 5 = 15