A company launches two new products. The market price, in dollars, of the two products after a different number of years, x, is shown in the following table

Based on the data in the table, for which product does the price eventually exceed all others, and why? (1 point)

Product 1, because the function is exponential

Product 2, because the function is exponential

Product 1, because it has a greater start value

Product 2, because it has a greater Year 3 value

Answer:

[tex]log_{2}[/tex] 20

Step-by-step explanation:

using the rule of logarithms

loga + logb = logab

then

[tex]log_{2}[/tex]4 + [tex]log_{2}[/tex]5

= [tex]log_{2}[/tex] (4 × 5)

= [tex]log_{2}[/tex]20

There are 109 terms in given series.

According to the statement

we have given that the sum of series is AP series and

This is 19 20.5 22 23.5 ... 181

And the sum of series is 10,900

Now, we have to find the number of terms in the series.

Then we use the summation formula which is

S = n/2 (a + L)

Substitute the all given values in it like

L = 181

A = 19 and S= 10,900

then

10,900= n/2(19+181)

10,900= n/2(200)

After solve the equation for n

10,900= 100n

n = 10,900 / 100

n = 109

There are 109 terms in given series.

So, There are 109 terms in given series.

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Answer:

20%

Step-by-step explanation:

Answer:

Step-by-step explanation:

you are right AC is 16 because A-C are the same length

Answer:

10. Area: ((6+4) * 8)/2 = 40 ft^2

Perimeter: 6 + 4 + 8 + 12.8 = 30.8 ft

8. 22 + 22 + 22 + 38 + 27.2 = 131.2 ft

The parent function moves 4 units right and 3 units down. This is a translation by the vector.

According to the question,

Transformation [tex]\sqrt[3]{x}[/tex] maps  onto [tex]\sqrt[3]{x+4} -3[/tex] . Take f(x) =  [tex]\sqrt[3]{x}[/tex] and f(x+4)=[tex]\sqrt[3]{x+4}[/tex].

f(x) =  [tex]\sqrt[3]{x}[/tex]

f(x+4)=[tex]\sqrt[3]{x+4}[/tex]

f(x+4) - 3=[tex]\sqrt[3]{x+4}[/tex] - 3

Analyze the function to see the translations. f(x-4) corresponds to a horizontal translation 4 units in the positive 'x' direction. f(x)-3 corresponds to a vertical translation 3 units in the negative 'y' direction.

Hence, the parent function moves 4 units right and 3 units down. This is a translation by the vector.

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The length of the road that connects the service station with Cray is 46.2 mi.

We need to apply the principle of similar triangles to obtain the length of the road that will connect the service station with Cray as shown in the image attached.

Hence;

The distance between Alba and Blare = 130 mi

The distance between Alba and Cray = 120 mi

Road connecting the service station with Cray =x

And;

120/130 = x/50

x =  46.2 mi

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The volume of the rectangular prism is 8 1 / 8 units³

volume of a rectangular prism = lwh

where

Therefore,

volume of a rectangular prism = base area × height

volume of a rectangular prism = 16 1 / 4 × 1 / 2

volume of a rectangular prism = 65 / 4 × 1 / 2

volume of a rectangular prism =  65 / 8

volume of a rectangular prism =  8 1 / 8 units³

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Answer: 9

Step-by-step explanation:

[tex]\frac{2}[3}=\frac{6}{DE}\\\\\frac{3}{2}=\frac{DE}{6}\\\\DE=9[/tex]

The expected value of the proposition which is the net expected outcome is; $20.89.

We are given that;

There is a deck of cards.

There are 3 kinds of cards that have value under 4 (or equal). These 3 cards are 2, 3, 4 and they are in total 4 * 3 = 12 cards.

The probability that we draw such a card = 12/52 = 0.23.

Thus, the probability that we do not draw such a card = 1 - 0.23 = 0.77.

Now, If we play the game once, we will get 0.23 of the times $208 and 0.77 of the times $35.

Thus, the net total expected outcome is: (0.23*208) - (0.77*35)

= $20.89.

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The y-intercept of the function f(x) is (0, 10/3)

The function is given as:

[tex]f\left(x\right)=\frac{30}{1+2^{3-x}}[/tex]

As x approaches infinity, we have:

[tex]\lim_{x \to \infty} \frac{30}{1+2^{3-x}}[/tex]

This gives

[tex]\lim_{x \to \infty} \frac{30}{1+2^{3-\infty}}[/tex]

[tex]\lim_{x \to \infty} \frac{30}{1+2^{-\infty}}[/tex]

Evaluate

[tex]\lim_{x \to \infty} \frac{30}{1}[/tex]

[tex]\lim_{x \to \infty} 30[/tex]

As x approaches negative infinity, we have:

[tex]\lim_{x \to -\infty} \frac{30}{1+2^{3+x}}[/tex]

This gives

[tex]\lim_{x \to -\infty} \frac{30}{\infty}[/tex]

Evaluate

[tex]\lim_{x \to -\infty} 0[/tex]

Hence, the limits of the function are [tex]\lim_{x \to \infty} 30[/tex] and [tex]\lim_{x \to -\infty} 0[/tex]

Remove the denominator

f(x) = 30

Also, set the numerator to 0

f(x) = 0

Hence, the horizontal asymptotes are y = 30 and y = 0

Set x = 0

[tex]f\left(0\right)=\frac{30}{1+2^{3-0}}[/tex]

Evaluate

[tex]f\left(0\right)=\frac{30}{9}[/tex]

Divide

[tex]f\left(0\right)=\frac{10}3[/tex]

Hence, the y-intercept is (0, 10/3)

The numerator of f(x) is 30.

In (b), we have

The horizontal asymptotes are y = 30 and y = 0

This means that the horizontal asymptotes and the numerator are the same

See attachment for the graph of f(x)

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Answer:

0.53

Step-by-step explanation:

1 - 0.47 = 0.53

Answer: 0.53

Answer:

0.53 or 53%

Step-by-step explanation:

1 = 100%

1 - 0.47 = 0.53 * 100 (100%) = 53% chance of getting heads.

The number of songs that Deante' would have downloaded during month 9 is 58 songs.

A regression line is a statistical line that best describes the behavior of a data set and such, it is a line that best fits a set of data.

By using Microsoft excel to plot the data on a scatter plot, we can logically deduce that line of best fit for the songs downloaded is given by:

y = 2.03x + 39.7

Thus, the number of songs that Deante' would have downloaded during month 9 is:

y = 2.03(9) + 39.7

y = 18.27 + 39.7

y = 57.97 ≈ 58 songs.

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Answer:

A) ŷ = 2.03X + 39.73

B) 58

Step-by-step explanation:

A line of best fit is a line drawn on a scatter plot that shows the trend and the best estimation of the relationship between x and y.

After graphing it, it's easy to find the point at which x and why intersect along the line where x is nine.

Using the equation, just replace x with nine and solve.

The inverse function of [tex]A(b) = 12 \cdot \frac{b + 9}2[/tex] is b(a) = a/6 - 9

The function is given as:

[tex]A(b) = 12 \cdot \frac{b + 9}2[/tex]

Divide 12 by 2

[tex]A(b) = 6 \cdot (b + 9)[/tex]

Rewrite the function as

[tex]a = 6 \cdot (b + 9)[/tex]

Divide both sides by 6

a/6 = b + 9

Subtract 9 from both sides

b = a/6 - 9

Express as a function

b(a) = a/6 - 9

Hence, the inverse function of [tex]A(b) = 12 \cdot \frac{b + 9}2[/tex] is b(a) = a/6 - 9

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Answer:

[tex]\sf x = \dfrac{n - 2mp}{2m}[/tex]

Step-by-step explanation:

              [tex]\sf 3m = m + \dfrac{n}{p + x}\\[/tex]

        [tex]\sf 3m - m = \dfrac{n}{p +x}[/tex]

                [tex]\sf 2m = \dfrac{n}{p +x}[/tex]

Now cross multiply,

          2m*(p +x) = n

To open the parenthesis, multiply 2m by p and x.

        2mp + 2mx = n

 Isolate the term with variable 'x'

                    2mx = n - 2mp

Now, isolate 'x', by dividing both sides by 2m

                          [tex]\sf x = \dfrac{n-2mp}{2m}[/tex]                            

Answer:

x = [tex]\frac{N-2MP}{2M}[/tex]

Step-by-step explanation:

3M = M + [tex]\frac{N}{P+x}[/tex] ( subtract M from both sides )

2M = [tex]\frac{N}{P+x}[/tex] ( multiply both sides by P + x to clear the fraction )

2M(P + x) = N ← distribute parenthesis on left side

2MP + 2Mx = N ( subtract 2MP from both sides )

2Mx = N - 2MP ( divide both sides by 2M )

x = [tex]\frac{N-2MP}{2M}[/tex]

Answer:

(3, 2 )

Step-by-step explanation:

given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] )

here (x₁, y₁ ) = (2, 3 ) and (x₂, y₂ ) = (4, 1 ) , then

midpoint = ( [tex]\frac{2+4}{2}[/tex] , [tex]\frac{3+1}{2}[/tex] ) = ( [tex]\frac{6}{2}[/tex] , [tex]\frac{4}{2}[/tex] ) = (3, 2 )

Answer:

100

Step-by-step explanation:

If the base is 20, then 2 of the sides must have a length of 20. This means that the TOTAL length of the remaining sides is 10. (20*2) + (10) = 50. If we divide that in half, we get 5. That is the side length of the remaining 2 sides. This means that 20 * 5 will give us the area (b*h).

Given,

base, b = 20mm &

perimeter, p = 50mm.

the area of the rectangle : (50 – 20 × 2) ÷ 2 = 5. 5 × 20 = 100 [tex]mm^{2}[/tex].

Perimeter and area are two important and basic mathematical subjects. They help quantify the physical space and also provide a more advanced foundation of mathematics in algebra, trigonometry, and calculus. Perimeter is a measure of the distance around a shape, and area indicates how much area the shape covers.

The perimeter of a 2D shape is the distance around the shape. You can imagine wrapping a string around a triangle. The length of this cord is around the triangle. Or, if you're traveling outside the park, take a route that goes around the edge of the park.

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Mark up = $66

Mark up on selling price = 37%

Selling price = 37%

Selling price x Mark up percentage = Mark up

Selling price x 37% = 66

Selling price = $178.38

Cost = Selling price - Mark up

= 178.38-66

= $112.38

Cost as a percentage of selling price = Cost / Selling price

= 112.38/178.38

= 63%

The selling charge is how much a purchaser pays for a product or service. it is able to range relying on how tons consumers are inclined to pay, how a whole lot the seller is inclined to just accept, and the way competitive charge is in comparison to other businesses inside the marketplace.

A sale rate is the discounted rate at which goods or services are being offered. This rate is normally offered for a restrained period of time, usually to spur income all through a slow duration or to sell off excess stock. the discount is advertised as a percentage discount from the ordinary listing charge.

Fee rate: the quantity paid to purchase a piece of writing or the fee at which an editorial is made is known as its cost charge. The value fee is abbreviated as C.P. selling price: The rate at which an editorial is sold is called its selling rate. The promoting price is abbreviated as S.P.

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Answer:eq

Step-by-step explanation:

Length of BD is 11 units.

The intersecting chords theorem or just the chord theorem is a statement in elementary geometry that describes a relation of the four line segments created by two intersecting chords within a circle. It states that the products of the lengths of the line segments on each chord are equal.

Let length of AE be x

By intersecting chords theorem,

AE(ED) = BC(DE)

x(x + 12) = (x +2)(x +5)

x² + 12x= x² + 7x + 10

5x = 10

x = 2

BD = BE + DE

= x + x +7

= 2x + 7

= 2(2) + 7

= 11 units

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Answer:

- There are more points above the line than below

- This is not a line of best fit

Step-by-step explanation:

       If we count the data points above and below the line, we can see there are about 4 below and 11 above. This means there are more points above the line than below. Since there are more points above the line than below, this is not a line of best fit.

The standard error of the mean, rounded to the nearest hundredth is 0.27

The standard error of the mean (SEM) calculates how big of a difference there is between the mean of a sample and the mean of the population.

The square root of the sample size is divided by the standard deviation in order to obtain  the Standard error of mean.

Always, standard error of mean will be smaller than standard deviation.

But a statistical inference based on the sampling distribution is part of the Standard error of mean definition.

According to the question,

Population Mean=56.7

Standard Deviation=4.3

Sample Size=260

Standard Error of mean=4.3/[tex]\sqrt{260}[/tex]

                                       =4.3/16.1245

                                       =0.27

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Answer:

0.27

Step-by-step explanation:

Plato/Edmentum

If the growth rate is 0.469 per member per day and in the beginnning there are 5 members then the population size after eight days is 108.42.

Given growth of population of protozoa 0.469 per member per day and population in beginninng is 5 members.

We have to find the population afte eight days.

First of all we have to find the function or equation showing sum of population after t days.

Because it is given that the rate is 0.469 per member per day it means it is like compounding.

The equation which shows the sum after compounding is P[tex](1+r)^{n}[/tex]

where P is the amount in beginning, r is the rate and n is the number of years.

In this problem the equation will be 5[tex](1+0.469)^{t}[/tex] where t is number of days.

We have to put the value of t=8 to find the population after 8 days=

=5[tex](1.469)^{8}[/tex]

=5*21.68

=108.42

Hence the population of protozoa after 8 days is 108.42.

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The median of list of numbers is-2.

Given the list of numbers is 13,15,6,8,-16,2,-12,3,-18,-18.

The median is the median of a sorted list of numbers. To find the median of a sequence of numbers, the numbers must be sorted in order from lowest to highest or highest to lowest.

Firstly, we will arrange the number from ascending to descending, we get

-18,-18,-16,-12,-6,2,3,8,13,15.

Now, we will find the middle term of the sequence, we get

The middle terms are -6 and 2.

Further, we will find the median of it.

n=(-6+2)/2

n=-4/2

n=-2

Hence, the median of the list of numbers 13, 15, -6, 8, -16, 2, -12 ,3 ,-18 ,-18 is -2.

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Answer:

B) (6, 17)

Step-by-step explanation:

y = 3x - 1

To find a solution to the equation

Let x = 6

y = 3*6 -1

y = 18-1

y = 17

One possible solution is ( 6,17)

This is choice B

First transformation.

Duadrilateral ABCD has vertices with such coordinates:

A(15,10);

B(15,20);

C(20,15);

D(20,5).

Apply a rotation by 90°counterclockwise around point A to this quadrilateral, then

A(15,10)→A'(15,10);

B(15,20)→B'(5,10);

C(20,15)→C'(10,15);

D(20,5)→D'(20,15).

Second transformation.

1. A reflection across the y axis has a rule:

(x,y)→(-x,y).

Then

A'(15,10)→A''(-15,10);

B'(5,10)→B''(-5,10);

C'(10,15)→C''(-10,15);

D'(20,15)→D''(-20,15).

2. A translation 20 units down has a rule:

(x,y)→(x,y-20).

Then

A''(-15,10)→G(-15,-10);

B''(-5,10)→H(-5,-10);

C''(-10,15)→I(-10,-5);

D''(-20,15)→J(-20,-5).

Answer: first blank -B, second blank - B.

Using it's concept, the domain of the function represented by the graph is all real numbers.

The domain of a function is the set that contains all possible input values for the function.

In this problem, a parabola is used, which has no restriction such as an even root or a fraction, hence the domain is all real values.

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Answer:

no hdjsjfjabjsjfbsbajdisjsb

The triangle can be a right triangle

The side lengths are given as:

3, 3 and 3√2

If the triangle is a right triangle, then the following must be true

a^2 = b^2 + c^2

Where a is the longest side.

So, we have:

[tex](3\sqrt 2)^2 = 3^2 + 3^2[/tex]

Evaluate the expressions

18 = 18

Both sides of the equation are equal

Hence, the triangle can be a right triangle

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Answer:

25 people

Step-by-step explanation:

These are the pieces of information we know.

- 1/6 who came to the restaurant ordered fish tacos

- There were 30 customers in total

- We need to find the number of people who did not order fish tacos

1. The number of people who ordered fish tacos can be expressed as: 30 x 1/6, which is 5. We know that 5 people ordered fish tacos.

2. Since we want to know the number of people who didn't want fish tacos, we take 5 away from 30: 30 - 5, which is 25.

25 people did not order fish tacos on Tuesday.