Which is a quadratic function?

Answer:

$ 40.82

Step-by-step explanation:

the sum of the three numbers is 40.82.

Answer:

the simplest form of 15/20 is 3/4

15% off........................................

The value of x is 42.

To determine the value of x, we need to analyze the given information regarding the scale factor between Figure A and Figure B.

The scale factor is expressed as the ratio of the corresponding side lengths or dimensions of the two figures.

Let's assume that the length of a side in Figure B is represented by 'x'. According to the given information, Figure A is a scale copy of Figure B with a scale factor of 2/7. This means that the corresponding side length in Figure A is 2/7 times the length of the corresponding side in Figure B.

Applying this scale factor to the length of side x in Figure B, we can express the length of the corresponding side in Figure A as (2/7)x.

Given that the length of side x in Figure B is 12, we can substitute it into the equation:

(2/7)x = 12

To solve for x, we can multiply both sides of the equation by 7/2:

x = (12 * 7) / 2

Simplifying the expression:

x = 84 / 2

x = 42

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The probability that the sample mean will be within plus minus 2 of the population mean if the sample size is n = 100 between z-scores of 0 and 2.5 using a z-table.

The standard deviation of the sample distribution, commonly known as the standard error, can be computed using the formula given that the population mean is 100 and the standard deviation is 16:

Standard Error = Standard Deviation / sqrt(sample size)

Let's determine the likelihoods for sample sizes of n = 100 and n = 400:

For n = 100:

Standard Error = 16 / sqrt(100) = 16 / 10 = 1.6

We can determine the z-scores for the upper and lower boundaries to establish the likelihood that the sample mean will be within plus or minus 2 of the population mean:

Lower Bound z-score = (Sample Mean - Population Mean) / Standard Error

Lower Bound z-score = (100 - 100) / 1.6

Lower Bound z-score = 0

Upper Bound z-score = (Sample Mean - Population Mean) / Standard Error

Upper Bound z-score = (104 - 100) / 1.6

Upper Bound z-score = 4 / 1.6

Upper Bound z-score = 2.5

We can calculate the region under the normal distribution curve between z-scores of 0 and 2.5 using a z-table or statistical software. This shows the likelihood that the sample mean will be within +/- 2 standard deviations of the population mean.

For n = 400:

Standard Error = 16/√400

Standard Error = 16/20

Standard Error = 0.8

We determine the z-scores by following the same procedure as above:

Lower Bound z-score = (Sample Mean - Population Mean) / Standard Error

Lower Bound z-score = (100 - 100) / 0.8

Lower Bound z-score = 0

Upper Bound z-score = (Sample Mean - Population Mean) / Standard Error

Upper Bound z-score = (104 - 100) / 0.8

Upper Bound z-score = 4 / 0.8

Upper Bound z-score = 5

Once more, we may determine the region under the normal distribution curve between z-scores of 0 and 5 using a z-table or statistical software.

A larger sample size, like n = 400, has the benefit of a lower standard error. The sampling distribution of the sample mean will be more constrained and more closely resemble the population mean if the standard error is less.

As a result, there is a larger likelihood that the sample mean will be within +/- 2 of the population mean. In other words, the estimate of the population mean gets more accurate and dependable as the sample size grows.

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Given an observation that is two standard deviations above the expected value of the sum is 266.6667. The probability that the sum is larger than 256 is 0.0848 (approx).

The given observation is two standard deviations above the expected value of the sum. It means that the given observation is 2σ above the mean value. It implies the following relation:

(given value - expected value)/σ = 2

Putting the given values, we get

266.6667 - expected value)/σ = 2

⟹ (266.6667 - expected value)/σ = 2

⟹ 133.33335 - expected value = 2σσ

= (266.6667 - expected value)/2

Substitute σ in the above equation.

⟹ 133.33335 - expected value = (266.6667 - expected value)/2

⟹ 266.6667 - 2 × expected value = 266.6667/2 - 133.33335

⟹ 2 × expected value = 133.33335 - 266.6667/2

⟹ expected value = (133.33335 - 266.6667/2)/2

⟹ expected value = 59.99997

Now, we need to find the probability that the sum is larger than 256.Z = (X - μ) / σZ = (256 - 59.99997) / (266.6667/2)Z = 1.3745736

Probability, P(Z > 1.3745736) = 0.0848300

Therefore, the probability that the sum is larger than 256 is 0.0848 (approx).

Note: In the above solution, we have not used the standard deviation value given in the question. Rather we have found it using the given observation and expected value. This is because it is easy to find the expected value using the given data. Once we have expected value and observation, we can find the standard deviation using the relation (given value - expected value)/σ = 2.

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Answer:

In a nutshell, \(y\) cannot be 3 or 6 in the inverse function for all \(x\) distinct from 2 and 5.

Step-by-step explanation:

From Functional Theory we remember that a function is a relation in which all elements of its domain has an unique and different element from range. If \(y\) is the image of the inverse, which is a function, then \(y \neq 3, 6\). Otherwise, the inverse could not be a function when \(x \in \mathbb{R}-\{2,5\}\).

In a nutshell, \(y\) cannot be 3 or 6 in the inverse function for all \(x\) distinct from 2 and 5.

Answer:

5

Step-by-step explanation:

\( (y^3 - 2)(y^2 +11)\)

\(= y^3 (y^2 +11)-2(y^2 +11)\)

\(= y^5 +11y^3-2y^2 - 22\)

Here, highest power of the variable is 5.

Therefore, degree of the given polynomial is 5.

Answer:

asgusjsudhhjjdjnnwmsmsos

Step-by-step explanation:

nnnrjkririeeieieieirkr

Answer:

x=42

Step-by-step explanation:

Just do 24/32 on calculator to get .75

Then multiply .75 by 56, the side you are looking for to get 42

74% and 40% are parameters because they represent characteristics of the population of Americans who had yet to retire, which the Gallup poll aims to estimate through their sample data.

a) The population of interest is Americans who had yet to retire.

b) The sample that was collected consists of 1,000 or more adults living in the United States, aged 18 and older, who were interviewed through telephone.

c) The value 74% is a parameter. A parameter is a numerical measurement that describes a characteristic of a population. In this case, the percentage (74%) represents the proportion of all Americans who had yet to retire (the population) who look to retirement accounts as major funding sources when they retire. The Gallup poll aims to estimate this parameter based on the responses of the sample.

d) The value 40% is also a parameter. Similar to the explanation in part c, it represents the proportion of all Americans who had yet to retire (the population) who look to stocks or stock market mutual fund investments as major funding sources when they retire. The Gallup poll aims to estimate this parameter based on the responses of the sample.

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The solution to the work involving the basic mathematics operations is 24

The following basic mathematics operations PEDMAS are:

From the question, we can notice 4 of the basic mathematics operations,

+ and × at the numerator

- and + at the denominator

So we work as follows:

for the numerator

9 + 13 × 3 = 9 + 39 (multiplication first)

9 + 13 × 3 = 48

for the denominator

15 - 12 + 1 = 16 - 12 (addition first)

15 - 12 + 1 = 2

Therefore,

(9 + 13 × 3)/(15 - 12 + 1 ) = 48/2

(9 + 13 × 3)/(15 - 12 + 1 ) = 24

Hence, from careful application of the basic mathematics operations, we have worked out the solution to be 24.

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Answer:

17

Step-by-step explanation:

11-3x

11-3(-2)

11+6

Hence, 17

Hope it helps!

The evaluation is 17 when h(-2) of h(x) = 11-3x.

A function is a relationship between a number of inputs and outputs. A function is an association of inputs where each input is coupled with exactly one output. There is a range, co domain, and domain for every function.

The given function is

h(x) = 11-3x

when x = -2

h(-2) = 11-3(-2)

       = 11 + 6

        = 17.

Therefore, the h(x) = 11-3x is 17 when x = -2

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Answer:

32 degrees

Step-by-step explanation:

If AB and BC are perpendicular, that means the angle is 90 degrees. They already give you 24 and 24 which add up to 48 and then you subtract 90 by 48 to find the missing value

The surface area is increasing at the rate of (60 x + 150) cm² per second.

Let the side of the cube be x cm.

s = x cm

Surface area of the cube will be:

S = 6 x² cm²

Now, we are given that, the side of the cube is expanding 5 cm per second.

So, the side of the cube after 1 second will be:

s' = x + 5 cm

Surface area will be:

S' = 6 (x + 5)² cm²

S' = (6x² + 150 + 60 x) cm²

Change in the surface area is:

ΔS = (6x² + 150 + 60 x) cm² - 6 x² cm²

ΔS = (60 x + 150) cm²

Therefore, the surface area is increasing at the rate of (60 x + 150) cm² per second.

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The numerical values oft0 = 1.68179283t1 = 2.05069808t2 = 2.11502912t10 = 2.23476721t17 = 2.7912056t35 = 9.74497884.

The numerical values of z for different time periods for the given cases are given below(a)

z=x As x grows at 2% per year, the value of

x0=2 for t=0. For t=1,

we have x1=x0(1+rx%)=2(1+2%)=2.04

For t=2, we have x2=x1(1+rx%)

=2.04(1+2%)=2.081For t=10,

we have x10=x9(1+rx%)

=2.00271299

For t=17,

we have

x17=x16(1+rx%)

=2.05872298

For t=35, we have

x35=x34(1+rx%)

=2.19919563

Therefore, the numerical values of z for different time periods for case (a) are given belowt0 = 2t1 = 2.04t2 = 2.081t10 = 2.00271299t17 = 2.05872298t35 = 2.19919563(b) z=y.

As y grows at 4% per year, the value of y0=1 for t=0. For t=1, we have y1=y0(1+ry%)=1(1+4%)=1.04For t=2,

we have y2

=y1(1+ry%)=1.0816

For t=10, we have y10=y9(1+ry%)

=1.48024431

For t=17,

we have y17=y16(1+ry%)=2.16264136For t=35, we have y35=y34(1+ry%)=5.42732912

Therefore, the numerical values of z for different time periods for case (b) are given belowt0 = 1t1 = 1.04t2 = 1.0816t10

= 1.48024431t17

= 2.16264136t35

= 5.42732912(c)\(z\(=x^(3/4) y^(1/4)\)Given that \(z=x^(3/4) y^(1/4)\)For t=0, we have z0=x0^(3/4) y0^(1/4)=2^(\)3/4)1^(1/4)

=1.68179283

For t=1, we have z1=

\(x1^(3/4) y1^(1/4)=2.05069808For t=2, we have z2=x2^(3/4) y2^(1/4)=2.11502912For t=10, we have z10=x10^(3/4) y10^(1/4)=2.23476721For t=17, we have z17=x17^(3/4) y17^(1/4)=2.7912056For t=35, we have z35=x35^(3/4) y35^(1/4)=9.74497884\)

Therefore, the numerical values of z for different time periods for case (c) are given belowt0

= 1.68179283t1 = 2.05069808t2

= 2.11502912t10

= 2.23476721t17 = 2.7912056t35

= 9.74497884.

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Answer:

yes

Step-by-step explanation:

Answer:

(fg)(x) = x^3-4x^2-16x+64, D: All Real Numbers

Step-by-step explanation:

(fg)(x) = f(x) x g(x)

= 16-x^2(4-x)

=64-16x-4x+x^3

(fg)(x) = x^3-4x^2-16x+64

Domain is all real numbers because you can substitute any real number for x and the function would still work.

Thus the value of \((fg)(x) = x^3 -4x^2 -16x -64\) , and the domain is a set of real numbers.

The domain is a set of all real numbers because by substituting any value in the equation we only get real numbers.

The function is defined as a relationship between two variables a dependent and an independent variable. A function consists of a domain and a co-domain.  The set of codomains is called a range.

      Example : \(f(x) = 4x+ 3\)

All those values of a set for which a function is defined are called a domain.

According to the question :

\(f(x) = 16 - x^2\\ g(x) = 4 - x.\)

\((fg)(x) = (16- x^2) (4-x)\\(fg)(x) = [16(4-x) -x^2(4- x)]\\\(fg)(x) = [64- 16x -4x^2+x^3]\\(fg)(x) = x^3 -4x^2 -16 x -64\)

Thus the value of \((fg)(x) = x^3 -4x^2-16x-64.\)

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Answer:

l = 194999.45

Step-by-step explanation:

I'm going to assume that you meant 3.14 by 3,14.

336,765 = 3.14 × 0.55 × (l + 0.55)

336,765 ÷ (3.14 × 0.55) = l + 0.55

(336,765 ÷ (3.14 × 0.55)) - 0.55 = l

l = 194999.45

She make 5 apple pie and 2 peach pie.

In the given statement is:

Bonnie made 7 pies. there were 6 slices in each apple pie and 7 slices in each peach pie. if Bonnie made 44 slices of pie in total.

To find the how many of each pie did she make

Now, According to the question :

Let start the solution

Total number of slices made by Bonnie is 44

Let Number of apple pies be x

and, number of peach pies is (7 - x) ............(1)

Pieces of an apple pie is 6x

Pieces of peach pie = 7 (7 - x)

Calculation

6x + 7(7 - x) = 44

6x + 49 -7x = 44

-x = 44 - 49

-x = -5

x = 5

Put the value of x in equation (1)

7 - x = 7 - 5 = 2

She make 5 apple pie and 2 peach pie.

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Answer:

We can write the equation for the first part of this problem as:

16

+

4

x

=

10

+

14

We can now solve for  

4

x

:

−

16

+

16

+

4

x

=

−

16

+

24

0

+

4

x

=

8

4

x

=

8

To find the value of  

8

x

we can multiply each side of this equation by  

2

:

2

×

4

x

=

2

×

8

8

x

=

16

Step-by-step explanation:

The number \(-14 - 5i\) is located in the third quadrant.

The complex plane is a coordinate system in which complex numbers are represented by points, with the real part of the number corresponding to the horizontal axis and the imaginary part corresponding to the vertical axis. Quadrants in the complex plane are similar to those in the Cartesian coordinate system, with the first quadrant consisting of positive real and imaginary parts, the second quadrant having negative real parts and positive imaginary parts, the third quadrant having negative real and imaginary parts, and the fourth quadrant having positive real parts and negative imaginary parts.
The number \(-14 - 5i\) has a negative real part (\(-14\)) and a negative imaginary part (\(-5i\)). According to the properties of quadrants in the complex plane, this number is located in the third quadrant, where both the real and imaginary parts are negative. Therefore, the correct answer is c) Third quadrant.

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The amount of liquid that can be processed in 2 hours at a unit rate of 1 gallon per 18.25 minutes is calculated to be approximately 6.58 gallons.

Assuming the unit rate of 1 gallon per 18.25 minutes, we can convert 2 hours to minutes by multiplying it by 60, which gives us 120 minutes.

So, in 120 minutes, the amount of liquid that can be processed at a unit rate of 1 gallon per 18.25 minutes would be:

(120 minutes) / (18.25 minutes/gallon) = 6.58 gallons

Therefore, the amount of liquid that can be processed in 2 hours at a unit rate of 1 gallon per 18.25 minutes is found out to be  approximately 6.58 gallons.

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The complete question is :

What is the amount of liquid that can be processed in 2 hours at a unit rate of 1 gallon per 18.25 minutes?

y=1/4(x+1) is the solution of the equation x=4y+1.

The given equation is x=4y-1.

x equal to four times of y minus one.

In the equation x and y are the variables and minus is the operator.

We need to solve for y in the equation.

Add 1 on both sides of the equation.

x+1=4y-1+1

x+1=4y

Divide both sides of the equation with 4.

y=1/4(x+1)

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Answer:

8

Step-by-step explanation:

I -5 I = 5

I -3 I = 3

5+3=8

really need brainliest!!

Answer:

8 and pls give brainliest to the other person

We're given:

If the new price of the shoes were to increase by 8%, we must multiply it by 108% to determine its new price:

\(24.50*1.08\\=26.46\)

The selling price of the shoes are $26.46.

A)an = 2*2^(n-1)`. B) `The sum of the first n fractions is `2*(2^n - 1)`.

a. The sequence is a geometric sequence with the first term `a1 = 2` and common ratio `r = 2`.Therefore, the nth term `an` is given by:`an = a1*r^(n-1)`

Substituting `a1 = 2` and `r = 2`, we have:`an = 2*2^(n-1)`

b. To find the sum of the first n terms, we use the formula for the sum of a geometric series:`S_n = a1*(1 - r^n)/(1 - r)

`Substituting `a1 = 2` and `r = 2`, we have:`S_n = 2*(1 - 2^n)/(1 - 2)

`Simplifying:`S_n = 2*(2^n - 1)

`The sum of the first n fractions is `2*(2^n - 1)`.As `n` gets larger and larger, the sum approaches `infinity`.

Thus, the sum is getting closer and closer to infinity.

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Assuming you meant to type h(x)=-4x+1

Answer:

\(f(x)=-\frac{1}{4}x+\frac{1}{4}\)

Step-by-step explanation:

We know that, because \(h(x)\) is the inverse of \(f(x)\), that \(h(f(x))=x\), so \(-4f(x)+1=x\).

Aha! We can solve for \(f(x)\)!

We subtract \(1\) from both sides to get \(-4f(x)=x-1\).

Finally, we divide both sides by \(-4\) to get \(\boxed{f(x)=-\frac{1}{4}x+\frac{1}{4}}\).

Answer:

\( \boxed{\frac{1}{4} } \)

Step-by-step explanation:

\({2}^{ - 2} = \frac{1}{ {2}^{2} } \\ \\ \: \: \: \: \: \: \: \: \: = \frac{1}{4} \)

\( Negative \: exponent \\ \\ = > {a}^{-x} = \frac{1}{{a}^{x}} \)

Answer:

\(=\frac{1}{4}\)

Step-by-step explanation:

\(2^{-2}\\\mathrm{Apply\:exponent\:rule}:\quad \:a^{-b}=\frac{1}{a^b}\\2^{-2}=\frac{1}{2^2}\\=\frac{1}{2^2}\\2^2=4\\=\frac{1}{4}\)