3. A student wrote a book which she plans to sell online for $13 per copy. Her total expenses were $85. Which function can be used to find the profit in dollars, d, when the student sells C, copies of the book?​

Answer:

One Solution

Step-by-step explanation:

That's My Answer :)

The exponential functions among the given options are f(x)=\(8(14)^x\), g(x)=\(13(1.97^x)\), h(x)=\(12(18)^x\), and k(x)=\(11(−15)^x.\)

An exponential function is a function of the form f(x) = \(a^x,\) where a is a positive constant and x is the variable. In the given options, f(x)\(=8(14)^x\), g(x)=\(13(1.97^x)\), h(x)=\(12(18)^x\), and k(x)=\(11( − 15)^x\)all have this form, making them exponential functions.

On the other hand, j(x)=\(5(− 1/3 )^x\) is not an exponential function because the base, -1/3, is negative. In an exponential function, the base should be a positive constant.

Therefore, the exponential functions among the given options are f(x)=\(8(14)^x,\) g(x)=\(13(1.97^x)\), h(x)=\(12(18)^x\), and k(x)=\(11(-15)^x\)all have this form, making them exponential functions.

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Answer:

It's a linear expression.

Answer:

linear binomial

Step-by-step explanation:

I got it right in Grandpoint.

Answer:

No of sample space , n(s) = 12 + 11 + 17 + 5 = 45

No of favorable cases , n(e) = 17

Probability of getting blue marble ,

P(e) = n(e)/n(s)

       = 17 / 45

NOW

Probability of not getting blue marble,

P'(e) = 1 - p(e)

      = 1 - 17 / 45

     = ( 45 - 17)/45

    = 28 / 45

Hope it helped :)

Step-by-step explanation:

Answer:

5.9 × 10^-3

Move the decimal 3 times to right in the number so that the resulting number, m = 5.9, is greater than or equal to 1 but less than 10

Since we moved the decimal to the right the exponent n is negative

n = -3

Write in the scientific notation form, m × 10^n

= 5.9 × 10^-3

Hope this Helps

Answer: 7 kits

Step-by-step explanation:

( this is assuming you meant to add poster board)

y= total amount she can spend

35= .10x + .25x+ 1.5x +3x+ .10x

add all like terms

.1 + .25 + 1.5 + 3 + .1=  4.95

35= 4.95x

divide 4.95 by both sides.

35 / 4.95=  7.07

Round to the nearest integer.

7

Answer:

y = 5

Step-by-step explanation:

Answer:

y=5

Step-by-step explanation:

10/5y-13=-3

add thirteen to both sides

10/5y=10

multiply both sides by five

10y=50

divide both sides by 10

y=5

Call center A and B offers equal wages.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

The formula for wages = P/t

First, P= 15 dollars

           = 1500 cents

time= 1 hour= 60 minutes

then, the unit rate is

=1500/60

= 25 cents/ min

Second, P= 25 cents

time= 1 minutes

then, the unit rate is

=25/1

= 25 cents/ min

Hence, Call center A and B offers equal wages.

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Answer:

- 3, - 2, - 1 and 6

Step-by-step explanation:

To find the first 3 terms, substitute n = 1, 2, 3 into the nth term rule

a₁ = 1 - 4 = - 3

a₂ = 2 - 4 = - 2

a₃ = 3 - 4 = - 1

The first 3 terms are - 3, - 2, - 1

similarly substitute n = 10 into the rule for 10th term

a₁₀ = 10 - 4 = 6

Answer:

GREATEST COMMON FACTOR IS 9XZ

Answer:

3xy^3z

Step-by-step explanation:

EXPLANATION

Given the equation:

-4x -5 = 6 -11x

Adding +11x to both sides:

11x -4x -5 = 6

Adding+5 to both sides:

11x -4x = 6+5

Adding similar terms;

7x = 11

Now, we can see that there is only one solution that is 11/7.

Answer:

HOP IT HELPS

3/8=1.5/4

because when you divide

3÷2 and 8÷2

you get

1.5/ 4

Answer:

1/2

Step-by-step explanation:

3/8 to the nearest 1/2.

The question wants to know if you round 3/8 to the nearest half, what value would that be?  On a number line from 0 to 1, we could mark every 1/8 unit:

0/8==1/8==2/8==3/8==4/8==5/8==6/8==7/8==8/8

Note that 0/8 is 0, 4/8 is 1/4 and 8/8 is 1.

3/8 is one step from 4/8, or 1/2.  So the nearest half would be 1/2.

Answer:

$840 dollars

Step-by-step explanation:

Divide 540 by 9 to get the cost of 1 book then multiply it by 14

Answer:

$840

Step-by-step explanation:

\(\frac{14}{9}: \frac{y}{540}\)

y × 9 = 540 × 14

9y = 7560

9y ÷ 9 = 7560 ÷ 9

y = 840

The formula we need to use is given above. In this formula, we will substitute the desired values. Let's start.

A) First, we can start by analyzing the first premise. The team has \(8\) wins and \(5\) losses. It earned \(8 \times 3 = 24\) points in total from the matches it won and \(1\times5=5\) points in total from the matches it drew. Therefore, it earned \(24+5=29\) points.

B) After \(39\) matches, the team managed to earn \(54\) points in total. \(12\) of these matches have ended in draws. Therefore, this team has won and lost a total of \(39-12=27\) matches. This number includes all matches won and lost. In total, the team earned \(12\times1=12\) points from the \(12\) matches that ended in a draw.

\(54-12=42\) points is the points earned after \(27\) matches. By dividing \(42\) by \(3\) ( because \(3\) points is the score obtained as a result of the matches won), we find how many matches team won. \(42\div3=14\) matches won.

That leaves \(27-14=13\) matches. These represent the matches team lost.

Finally, the answers are below.

\(A)29\)
\(B)13\)

Answer:

  a) 29 points

  b) 13 losses

Step-by-step explanation:

You want to know points and losses for different teams using the formula P = 3W +D, where W is wins and D is draws.

The number of points the team has is ...

  P = 3W +D

  P = 3(8) +(5) = 29

The team has 29 points.

You want the number of losses the team has if it has 54 points and 12 draws after 39 games.

The number of wins is given by ...

  P = 3W +D

  54 = 3W +12

  42 = 3W

  14 = W

Then the number of losses is ...

  W +D +L = 39

  14 +12 +L = 39 . . . substitute the known values

  L = 13 . . . . . . . . . . subtract 26 from both sides

The team lost 13 games.

__

Additional comment

In part B, we can solve for the number of losses directly, using 39-12-x as the number of wins when there are x losses. Simplifying 3W +D -P = 0 can make it easy to solve for x. (In the attached, we let the calculator do the simplification.)

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The amount of silver that  should be added is 48% . A jeweler is said to have 5 rings that weigh 12 g apiece and are composed of an alloy of 20% silver and 80% gold.

What are linear equations?

An equation between two variables that, when plotted on a graph, produces a straight line.

The material will weigh 12 × 5 = 60 grams after melting all 5 rings.

The alloy's 20% silver and 80% gold content have been disclosed to us. Let's further say that the melted material receives an additional x grams of silver, resulting in a composition of 64% gold and 36% silver.

Thus, we can construct the following equation:

Amount of gold before = Amount of gold after mixing

So the equation we get

80% of 60 grams =64% of (X + 60) gram

0.80 × 60 = 0.64 (x + 60)

48 = 0.64x + 38.4

0.64x = 9.6

x = 9.6/0.64

x = 15

So

Amount of silver that needed to be added

= 0.64(15 + 60)

= 0.64(75)

= 48%

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Therefore, a p-value less than 0.05 is considered statistically significant, which means that the observed result is unlikely to have occurred by chance and supports the rejection of the null hypothesis.

If your findings yield a 1 in 100 chance that differences were not due to the hypothesized reason, then the corresponding p-value would be 0.01. The p-value represents the probability of obtaining a result as extreme or more extreme than the observed result, assuming that the null hypothesis is true. In other words, a p-value of 0.01 indicates that there is a 1% chance of observing the data if the null hypothesis (the hypothesized reason) is true. Generally, a p-value less than 0.05 is considered statistically significant, which means that the observed result is unlikely to have occurred by chance and supports the rejection of the null hypothesis.

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The volume of prism B can be found by multiplying the volume of A by a factor of 1/3

A scale factor is when you enlarge a shape and each side is multiplied by the same number. The value of scale factor is expressed as;

scale factor = new dimension / original dimension

Since the two triangular prisms have same base areas , this means that the volume will only be affected by the height. The height will be the determinant of the volume.

Volume = base area × height.

The volume of prism A = y × 18

= 18y units³

The volume of Prism B

= y × 6

= 6y³

Therefore the volume of prism of B can be found by multiplying the volume of a by a scale factor of 3.

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The integral ∫[0 to 1] x² dx evaluates to 1/3.

To evaluate this integral, we can use the power rule for integration. Applying the power rule, we increase the power of x by 1 and divide by the new power. Thus, integrating x² gives us (1/3)x³.

To evaluate the definite integral from x = 0 to x = 1, we substitute the upper limit (1) into the antiderivative and subtract the result when the lower limit (0) is substituted.

Using the Fundamental Theorem of Calculus, the area under the curve is given by the expression A = ∫[0 to 1] f(x) dx. For this case, f(x) = x².

To approximate the area using right endpoints, we can use a Riemann sum. Dividing the interval [0, 1] into subintervals and taking the right endpoint of each subinterval, the Riemann sum can be expressed as lim[n→∞] Σ[i=1 to n] f(xᵢ*)Δx, where f(xᵢ*) is the value of the function at the right endpoint of the i-th subinterval and Δx is the width of each subinterval.

In this specific case, since the function f(x) = x² is an increasing function on the interval [0, 1], the right endpoints of the subintervals will be f(x) values.

Therefore, the area under the curve from x = 0 to x = 1 can be expressed as lim[n→∞] Σ[i=1 to n] (xi*)²Δx, where Δx is the width of each subinterval and xi* represents the right endpoint of each subinterval.

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From the 12 listed amount, the amount which are within 1.5 standard deviation of the mean are (E) Eleven.

The term "Standard-deviation" is defined as a statistical measure of amount of variation of a set of data points from mean value.

The amounts which are within 1.5 standard deviation means can eb calculated by the formula :

⇒ {mean - 1.5×(S.D.), mean + 1.5×(S.D.)}

Substituting the values,

We get,

⇒ {8.1 - 1.5×0.3,  8.1 + 1.5×0.3}

⇒ {7.65 , 8.55}.

The 12 listed amount are : {8.22, 7.51, 7.86, 8.36, 7.83, 8.30, 8.09, 8.01, 7.73, 8.53, 8.25, 7.96},

We can see that, from the 12 listed amounts, only 7.51 is out of this rage and the remaining 11 amounts are within this rage.

Therefore, the correct option is (E) Eleven.

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The given question is incomplete, the complete question is

A vending machine is designed to dispense 8 ounces of coffee into a cup. after a test that recorded the number of ounces of coffee in each of 1,000 cups dispensed by the vending machine, the 12 listed amounts, in ounces, were selected from the data. if the 1,000 recorded amounts have a mean of 8.1 ounces and a standard deviation of 0.3 ounce, how many of the 12 listed amounts are within 1.5 standard deviations of the mean?

7.51, 8.22, 7.86, 8.36, 8.09, 7.83, 8.30, 8.01, 7.73, 8.25, 7.96, 8.53.

(A) Four

(B) Six

(C) Nine

(D) Ten

(E) Eleven

Dividing two polynomials may produce another polynomial only when the divisor has a lower degree than the dividend. Otherwise, it will generally result in a rational function.

No, dividing two polynomials may not result in another polynomial. It can produce a rational function.

A polynomial is an algebraic expression consisting of terms with non-negative integer exponents. When two polynomials are divided, the result is not always a polynomial.

If the degree of the polynomial being divided (dividend) is higher than the degree of the polynomial dividing (divisor), then the result can be a polynomial with a lower degree. However, if the degree of the divisor is equal to or greater than the degree of the dividend, the result will generally be a rational function, which is a ratio of two polynomials.

A rational function has the form P(x)/Q(x), where P(x) and Q(x) are polynomials and Q(x) is not equal to zero. The division can introduce terms with negative or fractional exponents, making the result a rational function rather than a polynomial.

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Answer:

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

Each coordinate of the midpoint is the average of endpoints:

Therefore M is (13, 14).

The function operation g(f(8) in the given functions f(x) = 3x+2 and g(x) = √(x-1) is 5.

A function is simply a relationship that maps one input to one output.

Given that:

First, set up the composite result function:

Evaluate g( 3x + 2 ) by substituting in the value of f into g.

g( 3x + 2 ) = √( ( 3x + 2 ) - 1 )

Simplify

g( 3x + 2 ) = √( 3x + 2 - 1 )

g( 3x + 2 ) = √( 3x + 1 )

Evaluate the result function by replacing the x with 8.

g( f(x) ) = √( 3(8) + 1 )

g( f(x) ) = √( 24 + 1 )

g( f(x) ) = √( 25 )

g( f(x) ) = 5

Therefore, the composite result function g( f(x) ) is 5.

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Answer:

The solution is given below:

Step-by-step explanation:

\( \\ \frac{1}{2} (4k + 3r) \div {3}^{1} \)

As we know the value of k and r so the equation will be

\( \\ \frac{1}{2} (4 \times 9 + 3 \times 6) \div {3}^{1} \)

\( \\ = \frac{1}{2} (36 + 18) \div 3\)

\( \\ = \frac{1}{2} \times 54 \div 3 \)

\( \\ = \frac{1}{2} \times 18\)

\( \\ = 9\)

½(4k + 3r) ÷ 3^1

k = 9

r = 6

show work

Given,

> k = 9

> r = 6

Applying the values,

=> 1/2 (4×9 + 3×6) ÷ 3¹

=> 1/2 (36 + 18) ÷ 3¹

=> 1/2 × 54 ÷ 3

=> 27 ÷ 3 (1/2 × 54 = 27)

=> 9

9 (Nine)

The increasing the sample size by a factor of 25 will reduce the width of the confidence interval by a factor of 5.

a. Suppose we have a two-sided confidence interval for the population mean with known variance, given by the equation:

Cl is the confidence interval, x is the sample mean, σ is the population standard deviation, n is the sample size, and zα/2 is the z-score corresponding to the desired level of confidence.

The σ are fixed for a given level of confidence, we can achieve this by increasing n by a factor of 4.

Specifically, if we increase the sample size from n to 4n, then the new confidence interval will have half the width of the original interval.

b. If the sample size is increased by a factor of 25, then the term √n in the denominator of the above equation will be replaced.

Therefore, increasing the sample size by a factor of 25 will reduce the width of the confidence interval by a factor of 5.

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Comment: RMS value is equal to the average value. This means that the signal does not have any high-frequency content. It can be inferred that the function y(t) does not oscillate. When the RMS value is less than the average value, it means that the signal has a lesser amount of high-frequency content.

Average and rms values for the function y(t)=25+10sin6πt over the time periods (a) 0 to 0.1 s, (b) 0.4 to 0.5 s, (c) 0 to 1/3 s, and (d) 0 to 20 s are as follows:

a) For t=0 to t=0.1s:

Average value, y_avg = 25

RMS value, y_RMS = 25.1987

Comment: RMS value is greater than the average value. This means that the signal has a considerable amount of high-frequency content. It can be inferred that the function y(t) oscillates rapidly.

b) For t=0.4 to t=0.5s:

Average value, y_avg = 25

RMS value, y_RMS = 28.2843

Comment: RMS value is greater than the average value. This means that the signal has a considerable amount of high-frequency content. It can be inferred that the function y(t) oscillates rapidly.

c) For t=0 to t=1/3 s:

Average value, y_avg = 25

RMS value, y_RMS = 23.7176

Comment: RMS value is less than the average value. This means that the signal has a lesser amount of high-frequency content. It can be inferred that the function y(t) oscillates slowly.

d) For t=0 to t=20 s:

Average value, y_avg = 25

RMS value, y_RMS = 25

Comment: RMS value is equal to the average value. This means that the signal does not have any high-frequency content. It can be inferred that the function y(t) does not oscillate. Comment on the nature and meaning of the results in terms of analysis of dynamic signals.The results indicate that the function y(t) oscillates rapidly at the start and end of the time period and slowly in the middle. When the RMS value is greater than the average value, it means that the signal has a considerable amount of high-frequency content.

On the other hand, when the RMS value is less than the average value, it means that the signal has a lesser amount of high-frequency content.

Furthermore, if the RMS value is equal to the average value, it means that the signal does not have any high-frequency content.

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Answer:

1) y = 3x + 5

2) y = -12x + 2

3) y = 5/4 - 5

4) y = -6x + 3

Step-by-step explanation:

Answer:

True

True

I am a Jedi

The total distance along the reverse curve is C. 837.76 ft. In a reverse curve, the total distance is calculated by adding the distances of the two curves together.

Each curve has a radius (R) and an angle (I) associated with it. In this case, both curves have the same radius (R1 = R2 = 600.00 ft) and angle (I1 = I2 = 300 00' 00").

To calculate the distance along each curve, we use the formula:

Distance = (Angle/90) * Radius

For each curve, the distance is:

Distance = (300 00' 00"/90) * 600.00 ft = 200.00 ft

Since there are two curves, we add the distances together:

Total Distance = 2 * 200.00 ft = 400.00 ft

Therefore, the total distance along the reverse curve is 400.00 ft.

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