An electronic book device had a value of t dollars before a holiday. The value decreased by 15% after the holiday. Which expressions show the value of the electronic book device after the holiday? Select all the expressions that apply.

A. 1.15
B. 0.85
C. −0.15
D. 1−0.15
E. −0.85
F. (1−0.15)

Answer:

It is D.4/9x=37/3

Step-by-step explanation:

i took the test

Answer:

D

Step-by-step explanation:

edge2020

To estimate Δf using Linear Approximation, we first need to find the derivative of f(x) = 7/(1+x^2). Using the chain rule, we get:

f'(x) = -14x / (1+x^2)^2

Now, we'll use the value x=3 to get the approximate slope:

f'(3) = -14(3) / (1+(3^2))^2 = -126 / 100 = -1.26

Using the Linear Approximation formula, Δf ≈ f'(3) * (3.5 - 3):

Δf ≈ -1.26 * 0.5 = -0.63 (rounded to five decimal places)

Now, let's calculate the actual change:

Δf = f(3.5) - f(3) = (7 / (1 + 3.5^2)) - (7 / (1 + 3^2)) ≈ 0.06597 - 0.7 = -0.63403

Next, let's compute the error and percentage error:

Error = |Actual Change - Linear Approximation| = |-0.63403 - (-0.63)| ≈ 0.00403

Percentage Error = (Error / Actual Change) * 100 = (0.00403 / -0.63403) * 100 ≈ -0.63597%

Your answer:
Δf (Linear Approximation) ≈ -0.63000
Δf (Actual Change) = -0.63403
Error = 0.00403
Percentage Error = -0.63597%

To use the Linear Approximation, we first find the derivative of f(x):
f'(x) = -14x/(1+x^2)^2

Then we can use the formula:
Δf ≈ f'(3)(3.5-3)

Substituting in the values, we get:
Δf ≈ (-14(3))/(1+3^2)^2 (0.5)
Δf ≈ -0.29452

To find the actual change, we evaluate f(3.5) and f(3) and subtract:
Δf = f(3.5) - f(3) = 7/(1+3.5^2) - 7/(1+3^2)
Δf ≈ -0.30020

To find the error, we subtract the Linear Approximation from the actual change:
Error = Δf - Δf≈
Error ≈ -0.00568

To find the percentage error, we divide the error by the actual change and multiply by 100:
Percentage Error = (Error/Δf) * 100
Percentage Error ≈ 1.89349%

Therefore, the answers are:
Δf≈ = -0.29452
Δf = -0.30020
Error = -0.00568
Percentage Error = 1.89349%

To know more about formula click here

brainly.com/question/30098455

#SPJ11

Answer:

0

Step-by-step explanation:

As x aproaches a, (x-a) will aproach 0, so the numerator will aproach 0, and because 0 divided by anything=0, the whole function will become 0. So, the answer is 0.

The zero product property states that if the product of two real numbers is 0, then one of the numbers must be 0.

The contrapositive of the above answer is "If neither of the numbers is 0, then the product is not 0."

In other words, if two non-zero numbers are multiplied, then the result is non-zero.

a)  We can use the zero-product property to factorize the expression as an example of\((x - 2) (x - 3) = 0\), and obtain the two roots of the equation, \(x = 2\)and \(x = 3\). Therefore, the zero-product property is a powerful tool that allows us to solve complex problems and equations involving algebraic expressions and real numbers.

b) A non-zero product can only be obtained by multiplying two non-zero numbers. So, if the product is zero, then at least one of the factors must be zero as well. This is the informal version of the contrapositive of the zero product property.

c)The zero product property is an essential concept in algebra that involves the understanding of real numbers and their product. It is widely used in algebra and calculus to solve equations and expressions that involve polynomial functions, quadratic equations, and exponential functions.

for such more questions on property states

brainly.com/question/2273381

#SPJ11

Answer:

Shelia would be.

Step-by-step explanation:

Her height would be 52.360 which is more than 52.219.

Therefore, Shelia is the tallest and the height of the tallest person would be 52.360.

The total number of samples will be 1109 .

Given ,

Margin of error 0.02

Here,

According to the formula,

\(Z_{\alpha /2} \sqrt{pq/n}\)

Here,

p = proportions of scientist that are left handed

p = 0.09

n = number of sample to be taken

Substitute the values,

\(Z_{0.01} \sqrt{0.09 * 0.91/n} = 0.02\\ 2.33 \sqrt{0.09 * 0.91/n} = 0.02\\\\\\\)

n ≈1109

Thus the number of samples to be taken will be approximately 1109 .

Know more about proportions,

https://brainly.com/question/31548894

#SPJ4

The annual depreciation rate is $163.33.

Depreciation rate is calculated using the formula

Annual Depreciation Rate =(Total Depreciable Cost)/(time)    ..where time is in years.

In the given Question

The original cost of item = $500

Cost of item after 3 years = $10

Total Depreciable Cost = (original cost of item) -(Cost of item after 3 years)

=500-10

=$490

So,

Annual Depreciation Amount = (Total Depreciable Cost)/(time)

Annual Depreciation Amount =490/3=163.33

Hence, the item cost would depreciate $163.33 per year.

which means every year the amount will depreciate by $163.33

Therefore, the annual depreciation rate is $163.33 .

Learn more about Depreciation Rate here https://brainly.com/question/28404135

#SPJ4

Answer:

the independent variable goes on the x-axis (the bottom, horizontal one) and the dependent variable goes on the y-axis (the left side, vertical one).

Step-by-step explanation:

The value x may be expressed as (a - b)(ab + b) / (ab - 1)(ab + 1).

To simplify the given expression x = (a² + b²) / (a b + 1), start by multiplying both the numerator and the denominator by (a b - 1) as follows:

x = (a² + b²)(a b - 1) / (a b + 1)(a b - 1)

Expanding the numerator using the distributive property:

x = (a² b - a² + a b² - b²) / (a² b - a b + a b² - 1)

Rearranging the terms in the numerator:

x = (a² b + a b² - a² - b²) / (a² b - a b + a b² - 1)

Factoring the numerator:

x = [(a² b - a b) + (a b² - b²)] / (a²b - a b + a b² - 1)

x = [a b (a - b) + b²(a - b)] / (a b - 1)(a b + 1)

x = (a - b)(a b + b) / (a b - 1)(a b + 1)

Therefore, the simplified expression for x is (a - b)(ab + b) / (ab - 1)(ab + 1).

Find out more on simplification here: https://brainly.com/question/28008382

#SPJ1

The probability that the pointer lands on 43 (red) on both spins is 0.0625 or 6.25%. Let's determine:

To determine the probability that the pointer lands on 43 (red) on both spins of the pointer in Fig. 11.16, we need to consider the probabilities associated with each spin.

First, let's denote the events as follows:

R1: The first spin lands on red.

R2: The second spin lands on red.

The given information states that the probability of landing on red is 0.25 of the circle, which means P(R1) = P(R2) = 0.25.

To calculate the probability that both spins land on red, we need to find the probability of the intersection of the events R1 and R2, denoted as P(R1 ∩ R2).

Here are the steps to calculate the probability:

1. Recall that for independent events, the probability of their intersection is equal to the product of their individual probabilities.

  P(R1 ∩ R2) = P(R1) * P(R2)

2. Substitute the given probabilities into the formula:

  P(R1 ∩ R2) = 0.25 * 0.25

3. Calculate the result:

  P(R1 ∩ R2) = 0.0625

Therefore, the probability that the pointer lands on 43 (red) on both spins is 0.0625 or 6.25%.

To learn more about probability click here:

brainly.com/question/31828911

#SPJ11

The area of each of the missing faces is 40 m².

The length of each of the missing faces is 10 m.

The missing dimension is 10 m by 4 m.

Area is the region bounded by a plane shape.

To calculate the area of each missing face, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

And the length of each of the missing edge can be calculated using the formula below

Formula:

Where:

From the diagram in the question,

Given:

Substitute into equation 2

Hence, the length is 10 m.

Learn more about area here: https://brainly.com/question/25092270

#SPJ1

To use the quadratic formula, we need to identify the values of a, b, and c.

1. In this case, the equation is 4x² - 3x - 8 = 0, so a = 4, b = -3, and c = -8.

2. x = (-b ±√(b² - 4ac))/2a.

3.  x = (3 ±√137)/8.

The Quadratic Formula is a mathematical equation used to solve second-degree equations.

To use the quadratic formula, we need to identify the values of a, b, and c in the equation ax² + bx + c = 0.

In this case, the equation is

4x² - 3x - 8 = 0,

so a = 4, b = -3, and c = -8.

Once the values of a, b, and c are known, we can substitute them into the Quadratic Formula:

x = (-b ±√(b² - 4ac))/2a.

In this equation, a = 4, b = -3, and c = -8, so the equation becomes

x = (-(-3) ±√((-3)² - 4(4)(-8)))/2(4).

Simplifying, we get x = (3 ±√(9 + 128))/8.

Finally, solving for x yields x = (3 ±√137)/8.

Therefore, the solution to the equation is

x = (3 ±√137)/8.

For more questions related to equation

https://brainly.com/question/2228446

#SPJ1

Answer:

Solution in photo

Step-by-step explanation:

The square root and cube root of the given expression are:  √(16) = 4 ,∛O = 0, √(1) = 1

To find the square root of an integer, you need to find a number that, when multiplied by itself, equals the original number. As such, you really want to distinguish the number that, when duplicated without anyone else, approaches 25, to decide the square foundation of that number. Subsequently, 5 is the square base of 25.

To determine the cube root of an integer, you must find a number that, when multiplied twice by itself, equals the original number.

Learn more about square root:

brainly.com/question/428672

#SPJ1

Answer:

125

An exponent is the number written as a superscript above a number. This is used commonly in mathematics to signify multiplication, or the amount to multiply the number by.

If we look at \(5^{3}\) (Five to the power of 3), we can use this expression to solve for the answer.

Therefore, the answer to \(5^{3}\) is 125.

The volume of an oblique hexagonal prism is 168 cubic centimeters.

According to the give question.

The height of the oblique hexagonal prism = 4 cm

And, base area of the oblique hexagonal prism = 42 sq. cm

As, we all know that the volume of any prism is calculated by taking the product of its base area and height of the prism.

Therefore,

The volume of an oblique prism whoose base area is 42 square centi-meter and height is 4cm = 42 × 4 = 168 cubic centi meters.

Hence, the volume of an oblique hexagonal prism is 168 cubic centimeters.

Find out more information about volume of prism here:

https://brainly.com/question/1578538

#SPJ4

The answer, rounded to the appropriate number of significant figures, is 5.45 kg/L. To express it in scientific notation, we can write it as:
5.45 × 10^(0) kg/L.Since 10^0 equals 1, the final answer in scientific notation is:5.45 × 1 kg/L

The given expression [(0.00034 kg)/((0.0000598 L+2.54×10^(-6) L))] represents a division calculation. To evaluate the expression, we substitute the given values into the equation and perform the necessary calculations. The final answer is expressed in scientific notation, rounded to the appropriate number of significant figures, and includes the correct unit.To evaluate the expression [(0.00034 kg)/((0.0000598 L+2.54×10^(-6) L))], we substitute the given values and perform the division:
Numerator: 0.00034 kg
Denominator: (0.0000598 L + 2.54×10^(-6) L)
Adding the terms in the denominator, we get:
0.0000598 L + 2.54×10^(-6) L = 0.00006234 L
Now we can rewrite the expression as:
(0.00034 kg) / (0.00006234 L)
Performing the division:
(0.00034 kg) / (0.00006234 L) ≈ 5.453 kg/L

The answer, rounded to the appropriate number of significant figures, is 5.45 kg/L. To express it in scientific notation, we can write it as:
5.45 × 10^(0) kg/L.Since 10^0 equals 1, the final answer in scientific notation is:5.45 × 1 kg/L
Therefore, the evaluated expression is 5.45 kg/L.

Learn more about division here:

https://brainly.com/question/33183138

#SPJ11

If a random sample of 29 time intervals between eruptions has a mean greater than 106, it may be concluded that the average time between eruptions is longer than 106 units of time. However, it is important to note that the sample size of 29 may not be representative of the entire population of time intervals between eruptions, and therefore the conclusion drawn may not be entirely accurate.
Additionally, it is important to consider the variability of the data. If the standard deviation of the sample is high, it may indicate that there is a wide range of time intervals between eruptions, making it difficult to draw a definitive conclusion. On the other hand, if the standard deviation is low, it may indicate that the time intervals are more consistent, and the conclusion drawn may be more reliable.

Overall, it is important to consider both the mean and variability of the sample when drawing conclusions about the population of time intervals between eruptions. Further research and analysis may be necessary to validate the findings and provide a more accurate answer.

Learn more variability here: brainly.com/question/17344045

#SPJ11

Answer: x = 1

Step-by-step explanation: coz I juss know

the rise is 5 and the run is 2 so the answer is 5/2

Rusty would recognize a capital gain of $187 due to the partial liquidation of Nail Corporation.

To determine the amount and character of the income or gain recognized by Rusty due to the partial liquidation, we need to compare the distribution received to Rusty's stock basis and the fair market value of the shares.

In this case, Nail Corporation distributed $555,440 to Rusty in exchange for 50% of his stock in the company. The fair market value of the shares at the time of the distribution was $212 per share, and Rusty's tax basis in the shares was $50 per share.

First, we calculate the total tax basis in the shares Rusty exchanged:

Tax basis = Number of shares exchanged * Tax basis per share

Tax basis = 50% * Tax basis per share

Tax basis = 50% * $50 = $25

Next, we calculate the gain on the exchange by subtracting the tax basis from the fair market value of the shares:

Gain on exchange = Fair market value of shares - Tax basis

Gain on exchange = $212 - $25 = $187

Since the distribution was made in exchange for Rusty's stock, the gain of $187 recognized by Rusty in the partial liquidation is treated as a capital gain.

Therefore, Rusty would recognize a capital gain of $187 due to the partial liquidation of Nail Corporation.

Learn more about liquidation here

https://brainly.com/question/31237546

#SPJ11

Answer:

Step-by-step explanation:

The GCF of 8 and 9 is 1

Divide both terms by the GCF, 1:

8 ÷ 1 = 8

9 ÷ 1 = 9

The ratio 8 : 9 cannot be reduced further by dividing both terms by the GCF = 1 :

This ratio is already in lowest terms.

Therefore:

8 : 9 = 8 : 9

Answer:

a.) Find how many natural numbers under 100 are not divisible by either 2, 3, 5, or 7.

There are 21 natural numbers under 100 that are not divisible by either 2, 3, 5, or 7. Below are those 21 natural numbers:

11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97

b.) Use this result to determine how many prime numbers less than 100 there are.

Since 2, 3, 5, and 7 are all prime numbers that we didn't include in our answer above, there are actually 25 prime numbers under 100.

If this answer helped you, please leave a thanks or a Brainliest!!!

Have a GREAT day!!!

Answer:

\(\sin(\theta ) = \dfrac{\textrm{opposite}}{\textrm{hypotenuse}}\)

Hence,

\(\sin(A) =\dfrac{20}{29}\)

\(~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$ 4700\\ P=\textit{original amount deposited}\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ t=years\dotfill &11 \end{cases} \\\\\\ 4700=Pe^{0.04\cdot 11} \implies 4700=Pe^{0.44}\implies \cfrac{4700}{e^{0.44}}=P\implies 3027\approx P\)

Answer:

9

Step-by-step explanation:

Answer:

m= -38

Step-by-step explanation:

-(6m+8)=4(17-m)

-6m-8=68-4m

-6m+4m-8=68

-2m-8+8=68+8

-2m=76

-2m/-2=76/-2

m= -38

Answer:

85

Step-by-step explanation:

The 9 th square number is 9² = 81

The 2 nd square number is 2² = 4

sum = 81 + 4 = 85