create the line chart using just the data from the order date and total sale columns. be sure to include the header row when selecting the data for the chart.

Answer:4^50

Step-by-step explanation:

Since 4 is twice as much as 2, you would divide 100/2 which would equal 50. Therefore, you get 4^50.

The equation that represents the employee’s salary, S, after t years since the employee began working with the company is S(t) = 35400 * (1.08)^t

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

Initial salary = 35400

Raise = 8%

Number of years = t

The equation that represents the employee’s salary is calculated as

Salary = Initial salary * (1 + raise)^Number of years

Substitute the known values in the above equation, so, we have the following representation

Salary = 35400 * (1 + 8%)^t

So, we have

S(t) = 35400 * (1.08)^t

Hence, the equation is S(t) = 35400 * (1.08)^t

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The sample space of the experiment is {Yes 18-34, No 18-34, Not sure 18-34, Yes 35-49, No 35-49, Not sure 35-49, Yes 50 and older, No 50 and older, Not sure 50 and older}

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

Event 1: Yes, No, Not sure

Event 2: 18-34, 35-49, 50 and older

To determine the sample space of the experiment, we simply take one of the entries in event 1 and combine it with one of the entries in event 2

Using the above as a guide, we have the following:

Sample space = Yes 18-34, No 18-34, Not sure 18-34, Yes 35-49, No 35-49, Not sure 35-49, Yes 50 and older, No 50 and older, Not sure 50 and older

The above represents the sample space

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Complete question

A probability experiment consists of recording a response to the survey statement on the right and the age (18-34, 35-49, 50 and older) of the respondent.

Yes, No, Not sure

Determine the sample space

90% confidence interval for positive difference between means that there is a 90% probability that the confidence interval will contain the true population mean

The difference in sample means is used to calculate the difference in population means. A confidence interval reveals how accurate the estimate is.

We will make three assumptions in order to build a confidence interval:

1. The variance between the two populations is equal. The second assumption of homogeneity of variance is what this premise is known as.

3. The populations are evenly distributed.

4. Each value is sampled separately from every other value.

The following formula is used to construct a confidence range for the mean difference:

[tex]Lower Limit = M_1 - M_2 -(t_{CL})(S_{M1} - S{M2})\\Upper Limit = M_1 - M_2 +(t_{CL})(S_{M1} - S{M2})[/tex]

where [tex]S_{M1} - S{M2}[/tex] is the expected standard error of the difference between sample means, tCL is the desired level of confidence, and M1 - M2 is the difference between sample means.

The given question is incomplete So, I've answered in general according to my knowledge

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At m = 26 only the equation will be true, And the values 3, 78, and 126 will not satisfy the equation and make the equation false.

The substitution method is a quick and easy way to algebraically solve a set of linear equations and determine the variables' solutions.

Finding the value of the x-variable in terms of the y-variable from the first equation and then substituting or replacing the value of the x-variable in the second equation.

Here we have

8m − 15 = 5m + 63

=> 3m = 78

And set of possible solution, S = {3, 26, 78, 126}

Here we use the Substitution method to find at what value the equation will be false

At m = 3  

=>  3m = 78  

=>  3(3) = 78  [ which is not true]

At m = 26

=> 3(26) = 78 [ which is true ]

At m = 78

=> 3(78) = 78 [ which is not true ]

At m = 126

=> 3(126) = 78  [ which is not true ]

From the above calculations,

At m = 26 only the equation will be true, And the values 3, 78, and 126 will not satisfy the equation and make the equation false.

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Answer:

b

Step-by-step explanation:

The factors of 16 are: 1, 2, 4, 8, 16

The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24

The factors of 32 are: 1, 2, 4, 8, 16, 32

The factors of 40 are: 1, 2, 4, 5, 8, 10, 20, 40

Then the greatest common factor is 8

If f(x,y,z) = x²+y²+z² and W is the solid cylinder with height 5 and base radius 2 that is centered about z-axis with its base at z=-1 then the integral value is 432π.

They want f inside the integral so your integer and is: (x² + y² + z²) rdzdrdt

Note that you need another r because you are integrating in cylindrical

coordinates.

conversion equations:

x = rcost

y = rsint

x² + y² = r²

(x² + y² + z²)rdzdrdt becomes (r² + z²)rdzdrdt

W is the solid cylinder with height of 3, radius of 4, and centered about the z-axis, starting from z = -1.

Around the z-axis, cylinders take the forms of circles: x² + y² = r²

This cylinder will have the equation: x² + y² = 16

Its height is 3 so from z = -1 to z = 2

z bounds: -1 <= z <= 2

r bounds (based on the circle): 0 <= r <= 4

t bounds (based on the circle): 0 <= t <= 2pi

\(\int_{0}^{2\pi}\int_{0}^{4}\int_{-1}^{2}(r^{2}+z^{2})rdzdrdt\)

(r² + z²)r = r³ + rz²
dz integral gives: r^3*z + (1/3)rz^3 --> 2r^3 + (8/3)r - (-r^3 - (1/3)r)

= 2r^3 + (8/3)r + r^3 + (1/3)r

= 3r^3 + 3r

dr integral gives: (3/4)r^4 + (3/2)r^2 --> 216

dt integral gives: 216t --> 432pi

Hence we get the integral value as 432π

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There are three line segments in a triangle. Since there are three vertices in a triangle, they form three line segments.

Consider a triangle ABC. It has three vertices A, B, and C.

And it has three angles ∠A, ∠B, and ∠C.

So, the line segments formed by these three vertices are [tex]\overline{AB}[/tex], [tex]\overline{BC}[/tex], and [tex]\overline{CA}[/tex].

So, a closed figure will form by connecting these three vertices. That closed figure is said to be a triangle.

Therefore, there are 3 line segments in a triangle.

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The value of the composite function is (f + g)(x) = -3x + 1

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

f(x) = 2x - 3x

g(x) = 1 - 2x

The composite function is given as

(f + g)(x)

Mathematically, this can be represented as

(f + g)(x) = f(x) + g(x)

Substitute the known values in the above equation, so, we have the following representation

(f + g)(x) = 2x- 3x + 1 - 2x

Evaluate the like terms

(f + g)(x) = -3x + 1

Hence, the composite function is (f + g)(x) = -3x + 1

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The probability that the net weight is greater than 49.9 pounds is 0.44

What is probability?

Given f (x) = 2.0 for 49.62 < x < 50.12 pounds.

Our goal is:

a). We need to find the probability that a package weighs more than 50 pounds.

b). We need to find How much chemical is contained in 90% of all packages.

a). The probability of more than 49.9 pounds.

Given P(X>50).

P(X>49.9) = [tex]\int\limits^a_b {2} \, dx[/tex] (a=50.12, b= 49.9)

P(X>49.9) = [2x]₄₉.₉⁵⁰.¹²

P(X>49.9) = 2(50.12)-2(49.9)

P(X>49.9) = 100.24-99.8

P(X>49.9) = 0.44

Therefore, P(X>49.9) = 0.44

Hence, the probability that the net weight is greater than 49.9 pounds is 0.44

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Rotational symmetry about the origin is present in odd functions. By substituting x with -x and computing f, we can determine algebraically if a function is even, odd, or neither (-x). The function is odd if f(-x) = f(x).

If -f(x) = f(-x), then the function f is said to be odd for all values of x. When studying additive inverses, the functions even and odd are those that satisfy particular symmetry relations.

Evenness or oddness in a function does not imply continuity or differentiability. For instance, the Dirichlet function is even but in no way continuous.

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Answer:

47. 18

48. 13

49. Candy A

Step-by-step explanation:

47. To find the number of groups of 25 people, you can divide the total number of employees by the size of each group. In this case, you would divide 425 employees by 25 people per group to get 17 groups. However, since you can't have a fraction of a group, you would need to round up to the nearest whole number. In this case, you would have 18 groups of 25 people.

48. he average number of customers contacted each day can be calculated by adding the total number of customers contacted during the week and dividing by the number of days in the week. In this case, the total number of customers contacted during the week is 15 + 12 + 14 + 11 + 13 = 65. Dividing this by the number of days in the week, which is 5, gives an average of 13 customers per day.

The method used to calculate the average in this case is the mean, which is the sum of all the values divided by the number of values. The mean is the most commonly used measure of central tendency and is a good choice for finding the average when the data is evenly distributed and there are no extreme values (outliers).

49. the question is cut off but if its ....the most popular and should be included in the most number of kits?

Candy A is the most popular candy, as it is sold in the greatest quantity on an average day. It should be included in the most number of kits in order to maximize sales.

It is possible to think of the set of hexadecimal digits, which includes one through four digits, as being divided into disjoint subsets: s, Sa, and so forth, strings in S,, strings in fourth, where each S, is made up of the strings with k hexadecimal digits. There are v rules, there are S2 total strings, and so on.

Hexadecimal number system is one of many sorts of ways for representing numbers that has a base-16 value. Hexadecimal numerals therefore contain 16 symbols or digital values, namely 0 through 1, 2, 3, 4, 5, 6, 7, 8, 9, A–F. Single bit representations of 10, 11, 12, 13, 14, and 15 are A, B, C, D, E, and F, respectively.

It can occasionally be spoken as "hex." There are only 16   used to represent hexadecimal integers. A, B, C, D, E, and F are the following values or symbols: 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9.

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Answer:

  f(x) = x³ -9x² +28x -30

Step-by-step explanation:

You want a monic polynomial f of least degree with zeros 3 and 3-i.

For zero x=a, the polynomial has a factor (x -a). Complex zeros come in conjugate pairs, so another one is 3+i. This means the factored form is ...

  f(x) = (x -3)(x -3 +i)(x -3 -i)

  f(x) = (x -3)(x² -6x +9 +1) . . . . . combine the two right factors

  f(x) = x³ -9x² +28x -30

__

Additional comment

When multiplying polynomials mentally, it can be useful to consider the coefficients of the product terms in order of decreasing powers:

  f(x) = (1)x³ +(-3 -6)x² +(10 +(-3)(-6))x +(-3)(10)

An odd degree polynomial with a negative leading coefficient would have endpoint behavior of "as x approaches -∞, y approaches ∞ and as x approaches ∞, y approaches -∞.

What is a polynomial?

A polynomial is a mathematical statement made up of coefficients and indeterminates that uses only the operations addition, subtraction, multiplication, and powers of positive integers of the variables. x² - 4x + 7 is an illustration of a polynomial with a single indeterminate x.

The leading coefficient and the degree of the monomial n have an impact on the final behavior.

The function behaves the same at both "ends" when n is even. They both either approach + ∞ or they both approach depending on the sign of the leading coefficient.

The behaviour of the function at both "endpoints" is the reverse when n is odd. Which one is +∞and which one is depends on the sign of the leading coefficient.

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The exact value of the expression is 4.15

What is a trigonometric expression?

The trigonometric functions in mathematics are real functions that connect the right-angled triangle's angle to the ratios of its two side lengths. They are extensively employed in all fields of geometry-related study, including geodesy, solid mechanics, celestial mechanics, and many others.

We are given an expression

cosec 30^0 + cosec 60^0 + cosec 90^0

We know that cosec x= 1/sinx

Substituting this in the above equation we get

1/sin30^0 + 1/sin60^0 + 1/sin90^0

Now we know from the trigonometric table

sin30^0 = 1/2

sin60^0 = [tex]\frac{\sqrt{3} }{2}[/tex]

Sin90^0 = 1

Substituting this values in the equation we get

2+ [tex]\frac{2}{\sqrt{3} }[/tex]+1

3+1.15

= 4.15

The exact value of the expression is 4.15

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Answer:

  55.5°

Step-by-step explanation:

You want the angle in a right triangle that has opposite side 16 and adjacent side 11.

The tangent relation is ...

  Tan = Opposite/Adjacent

In this geometry, that means ...

  tan(x) = 16/11

Taking the inverse tangent, we have ...

  x = arctan(16/11) ≈ 55.49° ≈ 55.5°

The angle x is about 55.5°.

The length of the unknown side is 6 units

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

Triangles ABC and QRS

This triangles are similar triangles

This means that

AB : AC= QR : QS

Substitute the known values in the above equation, so, we have the following representation

5 : 3 = 10 : QS

Multiply the first ratio by 2

So, we have

10 : 6 = 10 : QS

By comparison, we have

QS = 6

Hence, the length is 6 units

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The correct options are

B.) GJ / MP = GH / MN

C.) ∠H≅∠N

By using the property of similarity of triangles, We get

The corresponding sides of the similar triangles are proportional to each other and the corresponding angles are congruent to each other.

So, given △GHJ∼△MNP  

⇒ GH/MN = HJ/NP = GJ/MP , and

∠G ≅ ∠M , ∠H ≅ ∠N , ∠J ≅ ∠P........(1)

The given options are :

A.) m∠J=m∠P

B.) GJ / MP = GH / MN

C.) ∠H≅∠N

D.) HJ ≅ NP

E.) GH=MN

Now, from equation (1)

The correct options are

B.) GJ / MP = GH / MN

C.) ∠H≅∠N

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The angles COA and POC are 22.5 and 67.5 degrees respectively as POA is a right angled triangle.

POA is a right angle so it is 90 degrees.

POC +COA = 90  .....(1)

Also, POC is 3 times as large as COA.

Let's take COA, "x"

POC = 3x

Substituting the values in equation (1) as follows:

x + 3x = 90

4x = 90

x= 22.5

Therefore,

COA = 22.5°

POC = 22.5*3 = 67.5°

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Condense the expression:

Used property:

Expand the expression:

Used property:

Answer:

[tex]\ln(3x)^{-4}[/tex]

[tex]\ln2 + \ln x[/tex]

Step-by-step explanation:

Given expression:

[tex]-4\ln(3x)[/tex]

[tex]\textsf{Apply the power law}: \quad n \ln x=\ln x^n[/tex]

[tex]\implies \ln(3x)^{-4}[/tex]

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

Given expression:

[tex]\ln(2x)[/tex]

[tex]\textsf{Apply the product law}: \quad \ln xy=\ln x + \ln y[/tex]

[tex]\implies \ln2 + \ln x[/tex]

She needs to bike for 66 miles on the last day so that her mean is 54 miles per day.

Mean, in terms of math, is the total added values of all the data in a set divided by the number of data in the set.

To calculate the miles Marthina needs to bike so that her mean is 54 mile per day, we use the formula below.

Formula:

Where:

Let y be the miles she biked for the last day.

From the question,

Given:

Substitute these values into equation 1 and solve for y

Hence, she needs to bike for 66 miles on the last day.

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0.477 ft/min, the water level is rising when the water is 2 feet deep in the tank.

The derivative of a function of a real variable in mathematics quantifies the sensitivity of the function's value (output value) to changes in its argument (input value).

Calculus's core tool is the derivative. The velocity of an item, for instance, is the derivative of its position with respect to time; it quantifies how quickly the object's position varies as time passes.

When it occurs, the slope of the tangent line to the function's graph at a given input value is the derivative of a function of a single variable.

The function closest to that input value is best approximated linearly by the tangent line. Because of this, the derivative is

According to our question-

The tank's water volume, V, is as follows:

V=πr2h

When the height, h, of the water rising from the tank's bottom increases with time, t, and the radius, r=4ft, is constant.

Using the volume's first derivative, we obtain:

dVdt=πr2dhdt

How to solve for the height change over time:

dhdt=1πr2dVdt

dhdt=1π(4ft)2(24ft3min)

dhdt≈0.477ftmin

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The two different expressions to represent the total cost of 3 liters of shampoo where L is the regular price of a liter bottle are;

Let

Total cost = Regular price of 2 liters of shampoo + discounted price of the 3rd liter

= (L × 2) + (L - 30% of L)

= 2L + (L - 0.3L)

= 2L + (0.7L)

Total cost = 2.7L

In conclusion, the expressions which can be used to represent the situation are;

2L + (L - 0.3L)

2.7L

Complete question:

Emilio buys liter bottles of shampoo when the store has the promotion shown. Write an expression in two different ways to represent the total cost 0f 3 liters of shampoo. Let L be the regular price of a liter bottle.

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27. 5 minutes is the amount of time I would have to wait to be able to use the merry go round

For the merry go round the wait time for 84 people is said to be 11 minutes.

If 84 persons are to wait for = 11 minutes

How many minutes would you have to wait with 210 people in line?

We would have to cross multiply

84 = 11

210 = ?

84 * ? = 11 * 210

84 ? = 2310

? = 2310 / 84

= 27.5

Hence if 210 are line, the number of minutes that I would have to wait would be 27. 5 minutes on the line before it would get to my turn.

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The wait time for two different rides at a fair are listed in the table. If there are 210 people in line for the merry-go-round, how long can you expect to wait to ride the merry-go-round?

Ride

Tilt-a-whirl

Wait Times

6 minutes for 54 people

Merry-go-round

11 minutes for 84 people in

line

The sale price of the sweater is $2.7

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

Markdown rate = 85% off

Original price of the sweater = $18

The retail price of the coat can be calculated using the following equation

Retail price = original price * (1 - Markdown rate)

Substitute the known values in the above equation, so, we have the following representation

Retail price = 18 * (1 - 85%)

Evaluate the products

Retail price = 2.7

Hence, the sales price is $2.7

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Answer:-98

Step-by-step explanation:

bc i said so ;)

Answer:

-98 is my answer

The evidence suggests that the average distance hiked by each visitor has decreased to less than 25 kilometers, so the null hypothesis is rejected.

The p-value is the probability of getting a test statistic result at least as extreme as the one observed, given that the null hypothesis is true. If the p-value is less than the chosen level of significance (which is 0.05 in this case), then the null hypothesis is rejected. In this case, since the p-value is less than 0.05, the null hypothesis is rejected. This means that there is enough evidence to conclude that the mean distance hiked by each visitor is now less than 25 kilometers.

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The power series of the given function  is 1 + (2x) + (2x)² + (2x)³+ --------------------- + (2x)ⁿ

We know very well that sum of n terms who are in geometric progression their sum of expression is given by  a/1-r where a is first term and r is common ratio between the terms.

Now, we have function f(x)=[1 / (1-2x)]

On comparing with a/1-r with f(x),we get

=>a=1 and r=2x

Now, we know that first term of geometric progression is given by =1

second term of geometric progression is given by=a × r= 1 ×2x

third term of geometric progression is given by =a×r² =1×(2x)²

fourth term of geometric progression is given by=a×r³ =1 × (2x)³

nth term of geometric progression is given by =a×(r)ⁿ = 1 × (2x)ⁿ

Therefore, according to the given formula progression series of given function is=a+ ar +ar² + ar³ + -----------arⁿ

=>progression series = 1+ 2x + (2x)² + (2x)³ + --------- + (2x)ⁿ.

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The values of the expression (1)  (r*s)(x) is 4x²+22x+10 (2) (r-s)(x) is -3x +3 (3) (r+s)(1) is 5x +7

The given parameters that will help us to calculate the values are

r(x) = x+5

s(x) = 4x +2

(1)  r*s(x) will be

(x+5)(4x+2)

Opening the brackets we have

4x²+2x+20x+10

= 4x²+22x+10

(2) (r-5)(x)

Putting the values of r and s

(x+5)- (4x+2)

Open the brackets to have

x+5-4x-2

Collecting like terms to get

-3x+3

(3) (r+s)(x)

By substitution we have

x+5+4x+2

⇒5x +7

In conclusion the values of the expressions are (1)  (r*s)(x) is 4x²+22x+10 (2) (r-s)(x) is -3x +3 (3) (r+s)(1) is 5x +7

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