In order to earn a year-end commission check of 20%, a sales team at a large company must generate 15% more in sales from their territory during a calendar year than was generated the previous year. If the sales team generated $20,000,000.00 in sales from their territory this year, what is the minimum amount of money they can make in commissions during the next 5 years (not including this year) if they receive a commission check each year?

Answer:

Option c. Reflection across the x-axis and vertical stretch by a factor of 7

Step-by-step explanation:

If the graph of the function [tex]y = cf(x)[/tex] represents the transformations made to the graph of [tex]y = f(x)[/tex] then, by definition:

If [tex]0 <c <1[/tex] then the graph is compressed vertically by a factor a.

If [tex]|c| > 1[/tex] then the graph is stretched vertically by a factor a.

If [tex]c <0[/tex] then the graph is reflected on the x axis.

In this problem we have the function [tex]y = -7secx[/tex] and our paretn function is [tex]y = secx[/tex]

therefore it is true that

[tex]c = -7\\\\|-7|> 1\\\\-7 <0[/tex].

Therefore the graph of [tex]y = secx[/tex] is stretched vertically by a factor of 7 and is reflected on the x-axis

Finally the answer is Option c

the distance from the origin is 5, so

sqrt(x²+y²)=5

x²+y²=25

substitue y=x²

y+y²=25

y²+y-25=0

solve using calculator or the formula

to get

y =( -1+sqrt(1+4*25))/2

or y = (-1-sqrt(1+4*25))/2

the second solution is rejected because a square cannot be negative

the value of x is the positive or negative (sqrt... or -sqrt...) or y

Answer:

e) The mean of the sampling distribution of sample mean is always the same as that of X, the distribution from which the sample is taken.

Step-by-step explanation:

The central limit theorem states that

"Given a population with a finite mean μ and a finite non-zero variance σ2, the sampling distribution of the mean approaches a normal distribution with a mean of μ and a variance of σ2/N as N, the sample size, increases."

This means that as the sample size increases, the sample mean of the sampling distribution of means approaches the population mean.  This does not state that the sample mean will always be the same as the population mean.

correct answer is option (c)

The Statement: The sampling distribution of the sample mean is always reasonably like the distribution of X, the distribution from which the sample is taken. is not True.

What is Standard deviation?

The square root of the variance is used to calculate the standard deviation, a statistic that expresses how widely distributed a dataset is in relation to its mean. By calculating the departure of each data point from the mean, the standard deviation may be determined as the square root of variance.

How Standard deviation is calculated?

Standard deviation is calculated by taking the square root of a value derived from comparing data points to a collective mean of a population. The formula is:

[tex]\begin{aligned} &\text{Standard Deviation} = \sqrt{ \frac{\sum_{i=1}^{n}\left(x_i - \overline{x}\right)^2} {n-1} }\\ &\textbf{where:}\\ &x_i = \text{Value of the } i^{th} \text{ point in the data set}\\ &\overline{x}= \text{The mean value of the data set}\\ &n = \text{The number of data points in the data set} \end{aligned}[/tex]

So, In the given options,

The Statement: The sampling distribution of the sample mean is always reasonably like the distribution of X, the distribution from which the sample is taken is False, because according Central limit theorem,

regardless of the shape of the population(X): If the sample size is greater than 30. The Sample distribution will be Normal Distribution.

Hence,

The Statement: The sampling distribution of the sample mean is always reasonably like the distribution of X, the distribution from which the sample is taken. is not True.

To know more about the Standard deviation refer to the below link:

https://brainly.com/question/475676

#SPJ2

Answer:31.56

Step-by-step explanation:

take 37.50 and divide it by 100

then multiply that by 80

you should get 30,

30 is 80% of 37.50 which is 20% off of the original price

then you divide 30 by 100 and multiply it by 5.2

this will get you 1.56

add that to 30 and you get 31.56

Answer: [tex]0.0003136\ J[/tex] or [tex]3.136*10^{-4}J[/tex]

Step-by-step explanation:

By definiition, when you multiply 1 Newton (N) by 1 meter (m), the unit obtained is an unit called "Joule", whose symbol is J.

Joule (J) is an unit of energy, work or heat.

Then to solve the exercise, you must multiply 0.0196 N by 0.016 m. Therefore, you obtain that the product is:

[tex](0.0196N)(0.016m)=0.0003136J[/tex] or [tex]3.136*10^{-4}J[/tex]

Answer:   0.000314mn

Step-by-step explanation:

(0.0196N)*(0.016M)

     0.000314mn

Angles are usually  given in degrees or in radians.

A circle is 360 degrees.

To convert degrees to radians, multiply the known degree by π/180.

Example 45 degrees = 45 x π/180 = 0.7854 radians.

To convert radians to degrees, multiply the known radian by 180/π.

5 radian = 5 x 180/π = 286.48 degrees.

The correlation between the measurements is written below.

An angle is a combination of two rays with a common endpoint.

The endpoint is called as the vertex of the angle,the rays are called the sides.

The various units in which angle is measure are Degree, radians and revolutions

A revolution is the measure of an angle formed when the initial side rotates all the way around its vertex until it reaches its initial position

One radian (1 rad) is the measure of the central angle (an angle whose vertex is the center of a circle) that intercepts an arc whose length is equal to the radius of the circle.

A degree is equal to 360 revolutions.

The correlation between the measurements can be written as

[tex]\rm 1 \;radian =(\dfrac{180}{\pi })^o = \dfrac{1}{2\pi } revolution[/tex]

For example 30° = π/6 radian = 1/12 revolutions

To know more about Angle

https://brainly.com/question/13954458

#SPJ2

Answer:

It is the answer C

Step-by-step explanation:

Answer:

so ans is C.)yes;3.5x

Step-by-step explanation:

x | y

8 |28

16 |56

20|70

8*3.5=28

16*3.5=56

20*3.5=70

so ans is C.)yes;3.5x

The y varies directly with x and the proportional relation is y = 3.5x option (C) yes;3.5x is correct.

It is defined as the relationship between two variables when the first variable increases, the second variable also increases according to the constant factor.

We have data in the table:

x | y

8 |28

16 |56

20|70

y ∝ x

y = kx

Plug x = 8 y = 28

28 = 8k

k = 3.5

y = 3.5x

Thus, the y varies directly with x and the proportional relation is y = 3.5x option (C) yes;3.5x is correct.

Learn more about the proportional here:

brainly.com/question/14263719

#SPJ2

Answer:

Step-by-step explanation:

Let g represent the green fee each person pays. Then the cost of the two club rentals and four green fees is ...

  2·6 + 4g = 76 . . . . . . the equation for total cost

  4g = 64 . . . . . . . . . . . subtract 12

  g = 16 . . . . . . . . . . . . divide by 4

The cost of the green fees was $16 per person.

Answer:

D : One Real Root

Step-by-step explanation:

Isolate "4x" by subtracting 7 from both sides.

So we get

4x = -7

Then we divide each side by 4 to get -7/4

x = -7/4 so there is only one real root.

Final answer:

The equation 4x+7=0 is a linear equation with only one real root, which is -1.75. Therefore, the correct option is d. 1 real root.

Explanation:

The given equation 4x+7=0 is a linear equation, not a quadratic equation. To find the roots, we only have one variable raised to the first power, which means this equation will only have one solution. We can solve this by isolating the variable x:

4x = -7

x = -7 / 4

x = -1.75

Therefore, the correct answer is d. 1 real root, as the equation has exactly one real solution and no imaginary roots.

Answer:

A

Step-by-step explanation:

We can write this as Sinx by "flipping" the [tex]-\sqrt{2}[/tex].

So we will have:  [tex]Sin(x)=-\frac{1}{\sqrt{2} }[/tex]

From basic trigonometry, we know the value of  [tex]\frac{1}{\sqrt{2}}[/tex]  of sine is of the angle [tex]\frac{\pi}{4}[/tex]

But when is sine negative? Either in 3rd or 4th quadrant. But the answer has to be between 0 and  [tex]\frac{3\pi}{2}[/tex], so we disregard 4th quadrant.

To get the angle in 3rd quadrant, we add π to the acute angle of the first quadrant (which is π/4 in our case). Thus we have:

[tex]\frac{\pi}{4}+\pi\\=\frac{\pi +4\pi}{4}\\=\frac{5\pi}{4}[/tex]

A is the right answer.

Answer:

Find a line which also has 3/4 as the slope or 3x - 4y in standard form.

Step-by-step explanation:

If the line is 3x - 4y = 1 then the line which is parallel will have the same coefficients of x and y. Parallel lines never cross and to ensure this have the same slope. The slope is a ratio which can be solved for in an equation using the coefficients of x and y. Here the slope is:

3x - 4y = 1

-4y = -3x + 1

y = 3/4x - 1/4.

Find a line which also has 3/4 as the slope or 3x - 4y in standard form.

Answer: y= 3/4x +5

Step-by-step explanation: just did it

Answer:

Final answer is approx x=4.26.

Step-by-step explanation:

Given equation is [tex]1.8^{-x+7} = 5[/tex]

Now we need to solve equation [tex]1.8^{-x+7} = 5[/tex] and round to the nearest hundredth.

[tex]1.8^{-x+7} = 5[/tex]

[tex]\log(1.8^{-x+7}) = \log(5)[/tex]

[tex](-x+7)\log(1.8) = \log(5)[/tex]

[tex](-x+7) = \frac{\log(5)}{\log(1.8)}[/tex]

[tex](-x+7) = \frac{0.698970004336}{0.255272505103}[/tex]

[tex]-x+7 = 2.73813274192[/tex]

[tex]-x = 2.73813274192-7[/tex]

[tex]-x =−4.26186725808[/tex]

[tex]x =4.26186725808[/tex]

Round to the nearest hundredth.

Hence final answer is approx x=4.26.

If the graph of any function is an unbroken curve, then the function is continuous. Let's study the function at the the point [/tex]x=5[/tex]:

At this point the function has the following value:

[tex]f(5)=-\frac{3}{4}[/tex], so the function in fact exists here, but let's find the limit here using:

[tex]f(x)=\frac{x^2-7x+10}{x^2-14x+45}[/tex]

So:

[tex]\underset{x\rightarrow5}{lim}\frac{x^2-7x+10}{x^2-14x+45}[/tex]

By factoring out this function we have:

[tex]\underset{x\rightarrow5}{lim}\frac{(x-2)(x-5)}{(x-5)(x-9)} \\ \\ \therefore \underset{x\rightarrow5}{lim}\frac{(x-2)}{(x-9)} \\ \\ \therefore \frac{(5-2)}{(5-9)}=-\frac{3}{4}[/tex]

Since [tex]\underset{x\rightarrow5}{lim}f(x)=f(5)[/tex] then the function is continuous here.

Let's come back to our function:

[tex]f(x)=\frac{x^2-7x+10}{x^2-14x+45}[/tex]

If we factor out this function we get:

[tex]f(x)=\frac{(x-2)}{(x-9)}[/tex]

Notice that at x = 9 the denominator becomes 0 implying that at this x-value there is a vertical asymptote. The graph of this function is shown below and you can see that at x = 9 the function is not continous

Therefore, the answer is:

b. continous at every point exept [tex]x=9[/tex]

Answer:

B: continuous at every real number except x = 9

Step-by-step explanation: EDGE 2020

Answer:

we cant see what the lines look like soooo

Step-by-step explanation:

Answer:

X= 5

EF= 58 degrees

GH= 55 degrees

Step-by-step explanation:

Answers on edg.

Answer:

14

Step-by-step explanation:

[tex]3 \times {( \frac{1}{8} )}^{2x} = 12 \\ \Leftrightarrow {( \frac{1}{8} )}^{2x} = 4 \\ \Leftrightarrow {( {2}^{ - 3}) }^{2x} = {2}^{2} \\ \Leftrightarrow {2}^{ - 6x} = {2}^{2} \\ \Leftrightarrow - 6x = 2 \\ \Leftrightarrow x = - \frac{1}{3} \\ \\ 2 {\sqrt[3]{5}}^{4x} = 50 \\ \Leftrightarrow { \sqrt[3]{5} }^{4x} = 25 \\ \Leftrightarrow {5}^{ \frac{4x}{3} } = {5}^{2} \\ \Leftrightarrow \frac{4x}{3} = 2 \\ \Leftrightarrow 4x = 6 \\ \Leftrightarrow x = \frac{3}{2} [/tex]

Answer to Q1:

x= -1/3

Step-by-step explanation:

We have given the equations.

We have to solve these equations.

The first equation is :

[tex]3.(\frac{1}{8})^{2x}[/tex]

[tex](\frac{1}{8})^{2x}=4[/tex]

[tex](2^{-3x})^{2x}=4[/tex]

[tex]2^{-6x}=4[/tex]

[tex]2^{-6x}=2^{2}[/tex]

As we know that bases are same then exponents are equal.

-6x = 2

x = 2/-6

x=-1/3

Answer to Q2:

x = 3/2

Step-by-step explanation:

The given equation is :

[tex]2.\sqrt[3]{5}^{4x}=50[/tex]

We have to find the value of x.

First,we multiply both sides of equation by 1/2 we get,

[tex]5^{4x/3}=25[/tex]

[tex]5^{4x/3}=5^{2}[/tex]

4x/3=2

4x = 6

x = 3/2

Answer:

  a.

Step-by-step explanation:

A catenary looks a lot like a parabola. Only graph "a" has that appearance.

___

A graphing calculator can help you choose, or you can recognize the nature of the terms of the sum.

e^x looks like graph D; e^-x looks like graph B. Their sum will always be positive, so cannot create graph C. At x=0, the average of the two graphs B and D will be 1, corresponding to the minimum of graph A.

Answer:

Step-by-step explanation:

If you are asking how many hours she spent on the batting lessons, we can use an equation to solve this type of problem.

Lets represent the hours she spent batting in august with h.

$35h+15=$155

Since each hour costs 35 dollars, its reasonable that $35 times the number of hours she spent practicing would be the correct way to represent that.

Now, lets solve.

Subtract 15 on both sides.

$35h=$140

Divide both sides by 35 to isolate h.

h=4

She spent four hours on batting lessons that month.

Hope this helps!

The number of hours will be 4 hours.

Let the number of hours used be represented by h.

Based on the question, the equation that will be used in solving the question will be:

15 + (35 × h) = 155

15 + 35h = 155

Collect like terms.

35h = 155 - 15

35h = 140

Divide both side by 35

35h/35 = 140/35.

h = 4.

The number of hours is 4 hours.

Read related link on:

https://brainly.com/question/12432183

Answer:

x + 3 - 2/ (x + 2).

Step-by-step explanation:

The length of the other side = area / length of the known side

= (x^2 + 5x + 4) / (x + 2)

Do the long division:

x + 2 ( x^2 + 5x + 4 ( x + 3 < - quotient

          x^2 + 2x

         ------------

                    3x + 4

                     3x + 6

                    ----------

                           - 2 <--- remainder.

The  answer is   x + 3 - 2/ (x + 2).

Answer:

Step-by-step explanation:

We know that the sum of the measures of angles on one side of the parallelogram is 180°.

We have the equation:

(6x - 12) + (132 - x) = 180

6x - 12 + 132 - x = 180               combine like terms

(6x - x) + (-12 + 132) = 180

5x + 120 = 180              subtract 120 from both sides

5x = 60          divide both sides by 5

x = 12

Opposite angles in the parallelogram are congruent.

Therefore:

6y + 18 = 6x - 12

Put the value of x to the equation and solve it for y:

6y + 18 = 6(12) - 12

6y + 18 = 72 - 12

6y + 18 = 60           subtract 18 from both sides

6y = 42          divide both sides by 6

y = 7

each bag weighs 0.625 ounces

The cost of each bag of popcorn will be 0.625 ounces.

Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,

Division = divide any two numbers or variables called division.

As per the given,

Weight of empty bag  = 5 ounce

Weight of full bag = 35 ounce

Weight of popcorns bag = 3 5 - 5 = 30 ounce

Number of bags = 48

Per bag weight = 30/48 = 0.625 ounce

Hence "The cost of each bag of popcorn will be 0.625 ounces".

To learn more about the arithmetic operators,

brainly.com/question/25834626

#SPJ5

Answer:

parabola

Step-by-step explanation:

That would be a parabola.  The "single point" is the "focus" of the parabola, and the "given line" is the "directrix."

Answer:

Step-by-step explanation:

If MN is tangent of a circle then the angle M is a right angle.

We have a dimeter of acircle d = 8 cm.

Therefore the radius CM = 8 cm : 2 = 4cm.

In a right triangle CMN use the Pythagorean theorem:

[tex]CM^2+MN^2=CN^2[/tex]

Substitute CM = 4cm and CN = 9.9 cm:

[tex]4^2+MN^2=9.9^2[/tex]

[tex]16+MN^2=98.01[/tex]          subtract 16 from both sides

[tex]MN^2=82.01\to MN=\sqrt{82.1}\\\\MN\approx9.1[/tex]

Answer:

92

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the opposite interior angles

140 = x+2 + 2x

Combine like terms

140 = 3x +2

Subtract 2 from each side

140-2 = 3x+2-2

138 = 3x

Divide by 3

138/3 = 3x/3

46=x

We want to find angle B

B = 2x

B = 2(46)

B = 92

[tex]\boxed{A=43.54cm^2}[/tex]

To find this area we will use the law of cosine and the Heron's formula. First of all, let't find the unknown side using the law of cosine:

[tex]x^2=12^2+8^2-2(12)(8)cos(65^{\circ}) \\ \\ x^2=144+64-192(0.42) \\ \\ x^2=208-80.64 \\ \\ x^2=127.36 \\ \\ x=\sqrt{127.36} \\ \\ \therefore \boxed{x=11.28cm}[/tex]

Heron's formula (also called hero's formula) is used to find the area of a triangle using the triangle's side lengths and the semiperimeter. A polygon's semiperimeter s is half its perimeter. So the area of a triangle can be found by:

[tex]A=\sqrt{s(s-a)(s-b)(s-c)}[/tex] being [tex]a,\:b\:and\:c[/tex] the corresponding sides of the triangle.

So the semiperimeter is:

[tex]s=\frac{12+8+11.28}{2} \\ \\ s=15.64cm[/tex]

So the area is:

[tex]A=\sqrt{15.64(15.64-12)(15.64-8)(15.64-11.28)} \\ \\ \therefore \boxed{A=43.54cm^2}[/tex]

Answer:

Yes

Step-by-step explanation:

This is a function since it is one to one. The writing is unclear here though since the function could be f(x) = x + (12/5) or f(x) = (x+12)/5. Either way the function passes the vertical line test when graphed. Both functions show a linear function. See the two attached graphs. Both are functions since the vertical line does not cross more than once through the function when drawn.

What sentence below

Answer:

27 times

Step-by-step explanation:

Given that sphere A is  similar to sphere B

Let radius of sphere B be x. Then the radius of

sphere A be 3 times radius of sphere B = 3x

Volume of sphere A = [tex]V_A=\frac{4}{3} \pi (3x)^3\\V_A=36 \pi x^3[/tex]

Volume of sphere B = [tex]V_B = \frac{4}{3} \pi x^3[/tex]

Ratio would be

[tex]\frac{V_A}{V_B} =\frac{36 \pi x^3}{\frac{4}{3}\pi x^3 } \\=27[/tex]

i.e. volume of sphere is 27 times volume of sphere B.

Answer: 27

Step-by-step explanation: ANSWER ON EDMENTUM/PLUTO