Please help with finite

Step-by-step explanation:

f(2) = 4(2) - 2

= 8 - 2

= 6

g(f(2)) = g(6)

g(6) = 5(6) - 3

= 30 - 3

= 27

g(f(2)) = 27

Autumn's bank registry will be :

Transaction Amount Balance

Paycheck $1275.00 $1275.00

Rent $400.00 $875.00

Utilities $75.00 $800.00

Cell Phone $80.00 $720.00

Subway Pass $120.00 $600.00

Groceries $200.00 $400.00

Work Clothes $100.00 $300.00

Entertainment $100.00 $200.00

Savings $200.00 $0.00

As you can see, Autumn has $0.00 left over at the end of the month. This means that she is spending more money than she is earning. In order to create a budget that works for her, Autumn will need to find ways to cut back on her expenses. Some possible areas where she could cut back include:

Autumn could look for a cheaper apartment or move in with more roommates. Autumn could turn off lights and appliances when she's not using them and seal up any cracks or holes in her apartment to keep the heat in during the winter and the cool air in during the summer.

By cutting back on her expenses, Autumn can create a budget that works for her and save money for the future.

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The value that is not reasonable for the true mean weight of the residents of the town is 193 pounds

Given that the mean weight is 187 pounds with a margin of error of 3 pounds, we can construct the interval as follows:

Mean weight - Margin of error = 187 - 3 = 184 pounds

Mean weight + Margin of error = 187 + 3 = 190 pounds

So, the reasonable range for the true mean weight of the residents of the town is between 184 and 190 pounds.

Now, let's evaluate the options to identify the value that falls outside this reasonable range:

A. 170 pounds - This value falls below the lower limit of the reasonable range (184 pounds). Therefore, it is not a reasonable value for the true mean weight.

B. 188 pounds - This value falls within the reasonable range of 184 to 190 pounds. It is a reasonable value.

C. 193 pounds - This value falls above the upper limit of the reasonable range (190 pounds). Therefore, it is not a reasonable value for the true mean weight.

D. 186 pounds - This value falls within the reasonable range of 184 to 190 pounds. It is a reasonable value.

E. 182 pounds - This value falls below the lower limit of the reasonable range (184 pounds). Therefore, it is not a reasonable value for the true mean weight.

From the options provided, the value that is not reasonable for the true mean weight of the residents of the town is 193 pounds.

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The value of g(h(10)) is 2√2. the correct option is A.

Given that the functions are g(x)=√x-4 and h(x)=2x-8.

A function is defined as the relationship between a set of inputs where each input has an output.

Firstly, we will find the value of h(10) by substituting x=10 in the function h(x)=2x-8.

h(10)=2(10)-8

h(10)=20-8

h(10)=12

Now, we will find g(h(10)) where h(10)=12.

By substituting h(10)=12 in g(h(10)), we get

g(h(10))=g(12).

Further, we will find g(12) by substituting x=12 in the function g(x)=√x-4, we get

g(12)=√(12-4)

g(12)=√8

g(12)=2√2

Hence, the value of function g(h(10)) when g(x)=√x-4 and h(x)=2x-8 is 2√2.

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Answer:

30 Hours

Step-by-step explanation:

8h=240

240÷8=30

Answer:

30

Step-by-step explanation:

Because 8 x 30 = 240 or

240 Divided by 8= 30

Answer:

it's x= -1/2 hope I helped you have a nice day! \ (>w<) /

Answer:

Um... Don't see the question but here's the answer

Step-by-step explanation

90 has more squares because 0.90 has one more 0 in it and it has 9th of the 10ths than 9

Answer: 4.17

$1.19 *3.5 = 4.165

Step-by-step explanation:

first multiply the two numbers. then round to the nearest cent. since there is a 5 behind the 6 you round up 7. it there would of been a 4 or less behind the 6 you would round down to 6.

Answer: 4.17

The hybrid car needs 17 gallons of gas for 714 ​-mile trip.

The problem is solved using the unit rate.

Where unit rate refers to an item's consumption or price for one of it. This is expressed as a ratio with one as the denominator.

In the problem, we have that 4 gallons travels 168 miles the unit rate is solved as follows

unit rate =  number of gallons / number of miles

unit rate = 4 gallons /  168 miles

unit rate = 1/42 gallons per mile

solving for 714 miles trip

= unit rate * number of miles

= 1/42 * 714

= 17 gallons

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Answer:

17 gallons

Step-by-step explanation:

714 * 4 / 168 = 17 gallons

By fraction method, 55/16 pounds of rice Belle purchased.

In math, what is a fraction?

Part of a whole is a fraction. In mathematics, the number is represented as a quotient, where the numerator and denominator are divided. Both are integers in a simple fraction.

                                 Whether it is in the numerator or denominator, a complex fraction contains a fraction. The numerator and denominator of a correct fraction are opposite each other.

  = 2 3/4 * 5/4

   = 5/4 * 2 + 5/4 *  3/4

   = 5/2 + 5/4 * 3/4

  = 5/2 + 15/ 4 * 4

  = 5/2 + 15/16

  common denominator and write the numerators above common denominator   =   5 *8/16 + 15/16

         = 40/16 + 15/16

         = 40 + 15/16

          = 55/16

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Answer:

11

Step-by-step explanation:

2(8−4)(2)− 10/2

=11

___________________________________________________________

EASY

yourwelcome

Answer:

Step-by-step explanation:

Answer:

  a = -2; b = 5

Step-by-step explanation:

Expanding the right side of the given equation, we have ...

  x^2 -4x +9 = x^2 +2ax +a^2 +b

Comparing coefficients, we see ...

  -4 = 2a . . . . . coefficient of x term

  9 = a^2 +b . . . constant term

The first of these tells us ...

  -2 = a . . . . divide by 2

The second of these tells us ...

  9 = (-2)^2 +b . . . substitute for a

  5 = b . . . . subtract 4

The values of a and b are (a, b) = (-2, 5).

Answer:

a=-2

b=5

Step-by-step explanation:

type this on mathswatch and you will get it right

the answer is 8 because there is 4 sides on a square and 8 x 4 is 32.

The correct transformation that describes why rectangles ABCD and A′B′C′D′ are similar is Rectangle ABCD was dilated by a scale factor of 5 to form rectangle A′B′C′D′.

Dilation is a transformation that changes the size of an object while maintaining its shape. In this case, the coordinates of rectangle ABCD were multiplied by a scale factor of 5 to obtain the coordinates of rectangle A′B′C′D′.

This means that each side length of rectangle ABCD was multiplied by 5 to get the corresponding side length of rectangle A′B′C′D′.

The reflection across the y-axis and the rotation of 90° counterclockwise would result in different shapes and orientations, not maintaining the similarity between the two rectangles.

The dilation by a scale factor of 15 or 1/5 would also change the proportions and not result in a similar rectangle.

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The number of coins in Ted and Mac's collection are 22 and 52 respectively

Ted's collection = x

Mac's collection = 8 + 2x

The expression which represents the number of coins in Mac's collection is 2x + 8

Ted's collection+Mac's collection= Total

x + (8 + 2x) = 74

3x + 8 = 74

3x = 74 - 8

3x = 66

x = 66/3

x = 22

Hence, Mac's collection would be 2(22)+8 = 52 while Ted's is 22

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Answer:

the answer is b, c, d, a, respectively

The maximum home value that can be financed is approximately $35,365.85.

Let's represent the maximum home value that can be financed by H.

If the minimum down payment is 18%, the amount financed is 100% - 18% = 82%.

Therefore, we have:

H × 82% = $29,000

Multiplying both sides by (1/82%), we get:

H = $29,000 / 82%

= $35,365.85

Hence, the maximum home value that can be financed is approximately $35,365.85.

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It has taken me 32 minutes to drive 48 km. If the total length of my journey is 146 km and I maintain the same speed,  then you can estimate that you will be driving for approximately 65.344 minutes longer to complete the remaining 98 km of your journey.

To estimate how much longer you will be driving for, we can use the concept of proportionality. We know that the time taken to drive 48 km is 32 minutes. Let's use this information to find the time it would take to drive 146 km.

We can set up a proportion to find the time:

(time taken for 48 km) / (48 km) = (time taken for 146 km) / (146 km)

Let's solve for the time taken for 146 km:

(time taken for 146 km) = (time taken for 48 km) * (146 km / 48 km)

Substituting the given values:

(time taken for 146 km) = 32 minutes * (146 km / 48 km)

Calculating the value:

(time taken for 146 km) ≈ 32 minutes * 3.042

(time taken for 146 km) ≈ 97.344 minutes

Therefore, it would take approximately 97.344 minutes to drive 146 km at the same speed.

To estimate how much longer you will be driving for, we can subtract the initial time of 32 minutes from the estimated time of 97.344 minutes:

Additional time = 97.344 minutes - 32 minutes

Additional time ≈ 65.344 minutes

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Answer:

Step-by-step explanation:

Given the function 2x³ + 5x² + 4x + 8. In order to evaluate the value of the function at x = -2 we will substitute the value of x given into the function as shown;

F(x) = 2x³ + 5x² + 4x + 8

at x = -2

f(-2) = 2(-2)³ + 5(-2)² + 4(-2) + 8

f(-2) = 2(-8) + 5(4) +(-8) + 8

f(-2) = -16+20-8+8

f(-2) = -16+20

f(-2) = 4

The value of the function when x = -2 is 4

Answer:

y^81

Step-by-step explanation:

(y^9)^7(y^3)^6 =

= y^63 * y^18

= y^81

wait I accidentally sent the wrong thing sorry

The 95% confidence interval for the average number of units that students in their college are enrolled in is approximately 11.66 to 12.54 units. This means that we are 95% confident that the true population mean lies within this interval.

Here,

To calculate the 95% confidence interval for the average number of units that students in their college are enrolled in, we can use the formula for a confidence interval for a population mean when the population standard deviation is unknown but can be estimated using the sample standard deviation.

The formula for the confidence interval is given by:

Confidence Interval = Sample Mean ± (Critical Value) * (Standard Error)

where:

Sample Mean (x) is the mean of the sample (12.1 units in this case).

Critical Value is the value from the t-distribution corresponding to the desired confidence level and the sample size.

For a 95% confidence level and a sample size of 45, the critical value is approximately 2.013 (you can look this up in a t-table or use a calculator).

Standard Error is the standard deviation of the sample mean, which is calculated as the sample standard deviation divided by the square root of the sample size.

Given the information in the problem:

Sample Mean (x) = 12.1 units

Sample Standard Deviation (s) = 1.5 units

Sample Size (n) = 45

Confidence Level = 95%

Critical Value ≈ 2.013

Now, let's calculate the standard error:

Standard Error = s / √n

Standard Error = 1.5 / √45 ≈ 0.2236

Now, calculate the confidence interval:

Lower bound of the confidence interval:

12.1 - (2.013 * 0.2236) ≈ 11.66

Upper bound of the confidence interval:

12.1 + (2.013 * 0.2236) ≈ 12.54

So, the 95% confidence interval for the average number of units that students in their college are enrolled in is approximately 11.66 to 12.54 units. This means that we are 95% confident that the true population mean lies within this interval.

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The area is 108yd2(square yards).

In the given triangle a base

24yd and the corresponding height of 6 yds are given, so to calculate the area we can use:

A=12×b×h

If we substitute the given numbers we get:

A=\(\frac{1}{2}\)×24×18

=12×9

=108

The units of base and height are the same (yards), so the calculated area is in yd2

The area is the quantity that expresses the extent of a region on the plane or on a curved surface. the world of a plane region or plane area refers to the area of a shape or planar lamina, while area refers to the area of an open surface or the boundary of a three-dimensional object. The area is often understood as the amount of material with a given thickness that would be necessary to fashion a model of the shape, or the quantity of paint necessary to cover the surface with a single coat. it's the two-dimensional analog of the length of a curve (a one-dimensional concept) or the volume of a solid (a three-dimensional concept).

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Answer:

x=5.3984

Step-by-step explanation:

Answer:

X=6

Step-by-step explanation:

Turning the question into a formulae

2X + 5 > 16; and 2X + 5 < 29

Let’s start by calculating the lower limit

2X + 5 = 16

X = (16–5)/2

X = 11/2 = 5.5

X > 5.5

The lowest value of X is infinitesimally close to 5.5, but greater than 5.5.

Answer:

Step-by-step explanation:

6) We would like to find out the area of the following arcs with ,

As we know that the area of sector is given by ,

\(\longrightarrow Area =\dfrac{\theta}{360^o}\times \pi r^2 \)

Here on substituting the respective values , we have ,

\(\longrightarrow Area =\dfrac{75}{360}\times \dfrac{22}{7}\times 16m \times 16m \\\)

Simplify,

\(\longrightarrow \underline{\underline{Area =167.61 \ m^2}}\)

8) Again we would like to find out the area with ,

Firstly we know that ,

\(\longrightarrow \pi \ rad = 180^o\)

So ,

\(\longrightarrow 2\pi rad = 360^o \)

Therefore , the formula becomes ,

\(\longrightarrow Area =\dfrac{\theta}{2\pi}\times πr^2 \)

Substitute ,

\(\longrightarrow Area =\dfrac{19\pi}{12\times 2\pi}\times \pi r^2\\ \)

So that,

\(\longrightarrow Area =\dfrac{19}{24}\times \dfrac{22}{7}\times 14ft \times 14ft \\ \)

Simplify,

\(\longrightarrow \underline{\underline{ Area = 487.66 ft^2 }}\)

And we are done !

#1

Area

#2

Area

Answer:

y = 5 /2 x + 100

Step-by-step explanation:

It is easily visible that it goes 125 to the right when it goes 50 up. Those are both divisible by 25 and you get 5 and 2. For every 5 points it goes to the right, it goes 2 points up. After that you simply add the y value at x value 0, which is 100, and you have your answer.