write the largest open interval on which f is the antiderivative for f.

Answer:

distributive

Step-by-step explanation:

Answer:

Step-by-step explanation:

4x5x7x8x2÷8=?

The function will output the total cost for ordering 25 towels based on the pricing structure provided.

To represent the cost, C, in dollars for an order of x towels, we need to define a function that takes into account the pricing structure provided by the printing company. Let's break down the pricing structure:

For the first 20 towels, each towel costs $5.00.

For each towel over 20, the cost per towel is $3.00.

Based on this information, we can define a piecewise function that represents the cost, C, as a function of the number of towels ordered, x.

def cost_of_towels(x):

   if x <= 20:

       C = 5.00 * x

   else:

       C = 5.00 * 20 + 3.00 * (x - 20)

   return C

In this function, if the number of towels ordered, x, is less than or equal to 20, the cost, C, is calculated by multiplying the number of towels by $5.00. If the number of towels is greater than 20, the cost is calculated by multiplying the first 20 towels by $5.00 and the remaining towels (x - 20) by $3.00.

For example, if we want to calculate the cost for ordering 25 towels, we can call the function as follows:order_cost = cost_of_towels(25)

print(order_cost)

The function will output the total cost for ordering 25 towels based on the pricing structure provided.

This piecewise function takes into account the different prices for the first 20 towels and each towel over 20, accurately calculating the cost for any number of towels ordered.

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Answer:

The answer is A

Step-by-step explanation:

this isnt my answer it is someone named baylee in the comments, i tried it and it was right .

As per the given data, the slope-intercept form of the first equation is y = x - 5, which is represented by option A.

The slope-intercept form of a linear equation is y = mx + b, where m is the slope of the line and b is the y-intercept.

The equation that represents the first equation written in slope-intercept form is:

y = x - 5

To convert the equation 5x - 2y = 10 into slope-intercept form, we need to isolate y on one side of the equation.

Starting with 5x - 2y = 10:

Subtract 5x from both sides: -2y = -5x + 10

Divide both sides by -2: y = (5/2)x - 5

Now, we can simplify the expression (5/2)x - 5 to the form y = mx + b, where m is the slope and b is the y-intercept.

Therefore, the correct option is A.

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Answer:

Yes, the expressions are equivalent

Step-by-step explanation:

Let's check it out:

=> -3x(5-4)+3(x-6)

Expanding brackets using distributive property.

=> -15x+12+3x-18

Combining like terms

=> -15x+3x+12-18

=> -12x-6

Yes, the expression is equivalent to -12x-6

Answer:

its A

Step-by-step explanation:

i took the test

Answer:

m = -2

Step-by-step explanation:

As one goes from (2, 7) to (4, 3), we note that x increases by 2 and y decreases by 4.  Thus, the slope is m = rise / run = -4/2, or -2

The slope of the line connecting these two points is -2.

Answer:

Step-by-step explanation:

From the options presented, driver B has the fastest typical race time because he recorded the smallest time taken to complete an individual race.

Also from the standard deviation given (3.96) for driver B, it shows that the individual time spread from the standard deviation is minimal and that the driver maintained a fairly consistent time of race throughout the racing period.

The coordinates of the vector v are (x, y) = (7, 3). (Correct choice: C)

The picture shows a vector u, that is, (x, y) = (21, 9) and we need to find the resultant of multiplying that vector by a scalar, which is equal to 3. By mutiplying a vector by a scalar:

u = k · v

Where k is the scalar multiple.

If we know that u = (21, 9) and k = 3

(21, 9) = 3 · (x, y)

(21, 9) = (3 · x, 3 · y)

(x, y) = (7, 3)

The coordinates of the vector v are (x, y) = (7, 3). (Correct choice: C)

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The size of the quarterly deposits in Shelby's RRSP account was approximately $147.40.

Let's denote the size of the quarterly deposits as \(D\). The total number of deposits made over 9 years is \(9 \times 4 = 36\) since there are 4 quarters in a year. The interest rate per period is \(r = \frac{3.50}{100 \times 12} = 0.0029167\) (3.50% annual rate compounded monthly).

Using the formula for the future value of an ordinary annuity, we can calculate the accumulated value of the RRSP fund:

\[55,000 = D \times \left(\frac{{(1 + r)^{36} - 1}}{r}\right)\]

Simplifying the equation and solving for \(D\), we find:

\[D = \frac{55,000 \times r}{(1 + r)^{36} - 1}\]

Substituting the values into the formula, we get:

\[D = \frac{55,000 \times 0.0029167}{(1 + 0.0029167)^{36} - 1} \approx 147.40\]

Therefore, the size of the quarterly deposits, rounded to the nearest cent, is approximately $147.40.

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The volume of the cone has a value of 410.67 cubic meters

From the question. the height and the radius of the cone are given as

Height = 7 feet

Radius = 8 feet

The volume of the cone can be calculated using the following volume formula

Volume = 1/3πr^2h

Substitute the known values in the above equation

So, we have

Volume = 1/3 * 22/7 * 8 * 7^2

Evaluate the products

Volume = 410.67

Hence, the volume is 410.67 cubic meters

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The pedestrian route that runs diagonally across the park is 5√10 miles.

It states that in a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides.

We have,

A rectangle:

Length = 15 miles

Wide = 5 miles

Diagonal length can be considered as the hypotenuse.

Applying the Pythagorean theorem.

Diagonal side² = length² + wide²

Diagonal side² = 15² + 5²

Diagonal side² = 225 + 25 = 250

Diagonal side = √250 = 5√10 miles.

Thus the pedestrian route that runs diagonally across the park is 5√10 miles.

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Answer:

  960

Step-by-step explanation:

If 1/12 were absent, then 11/12 were present.

If 1/5 of those were gone, then 4/5 of those were present.

  (11/12)(4/5)enrollment = 704 . . . 4/5 of 11/12 of the enrollment is 704 students

  (11/15)enrollment = 704 . . . . . . simplify

  enrollment = 704(15/11) = 960 . . . . . multiply by 15/11

960 students are enrolled at Central High.

The following is an assembly program that calculates the value of the given polynomial, assuming signed integers x and y are stored in register r2 and r3, respectively.

\(```.LIST.ALIGN 4    .GLOBAL _start_start:    PUSH {R4, R5, LR}\)
   \(MOV R4, R2        // R4 < - x    MOV R5, #2        // R5 < - 2\)\(MUL R4, R4, R4    // R4 < - x^2    MUL R4, R4, R5    // R4 < - 2x^2    MOV R5, #3        // R5 < - 3\)
  \(ADD R4, R4, R5, LSL #16    // R4 < - 2x^2 + 3x^2    MOV R5, #5        // R5 < - 5    MUL R5, R5, R2    // R5 < - 5x\)
  \(SUB R4, R4, R5, LSL #16    // R4 < - 2x^2 + 3x^2 - 5x    MOV R5, #11       // R5 < - 11    SUB R4, R4, R5, LSL #16    // R4 < - 2x^2 + 3x^2 - 5x - 11\)
  \(MOV R3, R4        // R3 < - y    POP {R4, R5, PC}.END```\)

Explanation: The polynomial is given as

\(`y = 2x^4 + 3x^2 - 5x - 11`.\)

To calculate this polynomial in assembly language, we need to perform the following steps:

Load the value of `x` into a register. We assume that `x` is stored in register `r2`.

Calculate \(`2x^2`\) and add \(`3x^2`\) to it. We first square the value of `x` by multiplying it with itself and then multiply it with `2`. We then add \(`3x^2`\) to this result. We store this result in register `r4`.

Calculate `5x` and subtract it from the result of step 2. We first multiply the value of `x` with `5` and then subtract it from the result of step 2. We store this result in register `r4`.

Subtract `11` from the result of step 3. We subtract `11` from the result of step 3 and store this result in register `r4`.

Load the value of `y` into a register. We assume that `y` is stored in register `r3`.

Return from the subroutine. We pop the registers from the stack and return from the subroutine.

The assembly program that is used to calculate the value of a given polynomial assuming signed integers x and y are stored in registers r2 and r3, respectively. The polynomial given is\(y = 2x4 + 3x² - 5x - 11\). In this assembly program, we load the value of x into a register, calculate 2x^2, add 3x^2 to it, subtract 5x from the result, and subtract 11 from the final result. The value of y is then stored in a register, and we return from the subroutine.

This assembly program is designed for 32-bit ARM architecture, and it can be run on any ARM processor. The program is written in ARM assembly language, which is a low-level programming language used to write programs that run on ARM processors. It is a complex language that requires a deep understanding of the processor architecture and instruction set.

In conclusion, the assembly program presented here can be used to calculate the value of a given polynomial using signed integers x and y stored in registers r2 and r3, respectively. This program can be adapted to calculate other polynomials or perform other arithmetic operations on ARM processors. It is a powerful tool for low-level programming and optimization, but it requires a significant amount of expertise to write and debug.

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Answer:

C

Step-by-step explanation:

The value of test statistic for test of independence is 62.5

The Chi-square test of independence checks that two variables are related or not. We have to count for two nominal variables. We also believe that the two variables are unrelated. The test allows us to determine whether or not our idea is plausible.

The sections that follow go over what we need for the test, how to perform it, understanding the results, statistical details, and p-values.

Given,

the table shows the beverage preferences for random samples of teens and adults.

For calculating the test statistics,

First wee need to calculate the expected values of every observed values.

Expected values for teens,

\(E(50)=\frac{250*400}{1000}=100\\\\E(100=)\frac{250*400}{1000}=100\\\\E(200)=\frac{400*400}{1000}=160\\\\E(50)=\frac{100*400}{1000}=40\)

Expected values for adults,

\(E(200)=250-100=150\\\\E(150)=250-100=150\\\\E(200)=400-160=240\\\\E(50)=100-40=60\)

Now, the test statistic is given by:

\(X^2=\frac{\sum\limits^n_{i=1}(O_i-E_i)^2}{E_i}\)

Where, Ei=expected value and Oi = observed value

\(X^2=\frac{(50-100)^2}{100}+\frac{(100-100)^2}{100}+...\frac{(200-240)^2}{240}+\frac{(50-60)^2}{60}=62.5\)

So, the value of test statistic for this test independence is 62.5.

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Your question is incomplete, here is the complete question

The table below gives beverage preferences for random samples of teens and adults.

                  teens adults total

coffee      50 200        250

tea              100 150        250

soft drink      200 200        400

other       50 50        100

                     400 600        1000

we are asked to test for independence between age (i.e., adult and teen) and drink preferences. the test statistic for this test of independence is ?

The value of the solution is 3π/2.

What is a trigonometric equation?

An equation involving one or more trigonometric ratios of unknown angles is called a trigonometric equation.

tan x/2 = -1

tanx/2 = tan(-π/4)

tanx=tanФ

⇒ The general equation of tanx=tanФ is

⇒ x=nπ+Ф

x/2=nπ+(-π/4)

at n=0

x/2=-π/4

x=-π/2

at n=1

x/2=π-π/4

x/2=3π/4

x=3π/2

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Disclaimer: The question was given incomplete on the portal. Here is the complete question.

Questions: Which value is a solution for the equation tan x/2 = -1?

A. 5pi/4

B. 7pi/4

C. 3pi/4

D. 3pi/2

Answer:

The total of the discount would be 1,360.

Step-by-step explanation:

If a 6,800$ item had a 20% discount, subtract 6,800 by 20 in percentage, therefore the result would be 1,360 in discount.

The probability that exactly 5 out of the first 10 customers buy a magazine is 0.00126.

Given suspicion of 9.7% that buy a magazine is correct.

We have to find the probability that exactly 5 out of the first 10 customers buy a magazine. Probability is the chance of happening an event among all the events possible.

The binomial distribution is the probability of exactly x successes on n repeated trials and X can only have two outcomes.

\(P(X=x)=C_{n,x}p^{x} (1-p)^{n-x}\)

In which \(C_{n,x}=n!/x!(n-x)!\)

And P is the probability of happening of X.

In the question 9.7% of his customers buy a magazine.

So the value of P=0.097

This can be calculated by :

P(X=5) when n=13

\(P(X=x)=C_{n,x} p^{x} (1-p)^{n-x}\)

\(P(X=5)=C_{10,5} (0.097)^{5} (1-0.097)^{10-5}\)

=\(P(X=5)=C_{10,5} (0.097)^{5} (0.903)^{5}\)

\(=10!/5!5!*0.0000085*0.600397\)

=252*0.00000510

=0.001286

Hence the probability that exactly 5 out of the first 10 customers buy a magazine is 0.001286.

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Answer:

20

Step-by-step explanation:

i did this on a hw equation

Answer:

28

Step-by-step explanation:

4=5

?=35

35×4 ÷5

140÷5

=28

The given statement when calculating the standard error for p-hat, we use the p-hat not the p under h null is false.

When calculating the standard error for p-hat (the sample proportion), we use the value of p under the null hypothesis (p₀) rather than the observed sample proportion (p-hat). This is because the standard error is an estimate of the variability or uncertainty in the sample proportion compared to the population proportion assumed under the null hypothesis.

The standard error formula for p-hat is:

SE(p-hat) = sqrt[(p₀ * (1 - p₀)) / n]

Here, p₀ represents the hypothesized population proportion under the null hypothesis, and n is the sample size. We use p₀ because it represents the proportion assumed to be true in the population when there is no evidence to reject the null hypothesis.

Using p-hat (the observed sample proportion) instead of p₀ would not accurately reflect the assumptions made under the null hypothesis and could lead to incorrect inference and conclusions.

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Answer: 100 degrees

Step-by-step explanation:

Answer:

a rational number

Step-by-step explanation:

Rational number are numbers that can be written as a fraction where both the numerator and denominator are integers. This means that both the top and bottom of the fraction are whole numbers.

Answer

linear

nonproportional

Step-by-step explanation:

Since for each equal change in time (1 week), there is an equal change in weight (5 lb), the situation is linear.

At time zero, the first week, the weight was not zero. It was 60 lb, so it is not proportional.

Answer:

linear

nonproportional

A proportional relationship is a type of linear relationship where the ratio of two variables is constant.

The number of hours studied (x) and the corresponding grade on a test (y) for a group of students. We observe that the grades are directly proportional to the number of hours studied. To write an equation to describe this proportional relationship, we can use the form y = kx, where k is the constant of proportionality.

To find the value of k, we can use any data point in the dataset. Let's say that when a student studies for 5 hours, they get a grade of 80. We can substitute these values into the equation:

\(80 = k\) × \(5\)

To solve for k, we can divide both sides by 5:

\(k = 80 / 5\)

\(= 16\)

Therefore, the equation to describe this proportional relationship is:

\(y = 16x\)

This means that for every additional hour studied, the grade increases by 16 points.

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Complete Question:

How to write an equation to describe a proportional relationship?

Answer: 24 red roses and 72 yellow roses.

Step-by-step explanation: 3 times 24 roses is 72 roses.

24+72=96 which is equal to 8 dozen (dozen = 12)

12x8=96 roses she bought in total

The answer is 24 red roses and 72 yellow roses :)

Answer:

She bought 192 more yellow roses than red roses and 192 less red roses than yellow roses.

Step-by-step explanation:

8 dozen = 96

96 x 3

24 dozen = 288

She bought 192 more yellow roses as red roses.

288 - 96 = 192

The absolute value of a number is the non-negative distance between the number and zero on a number line, regardless of sign.

This means that the absolute value of a negative number is always positive. Therefore, if a and b both are negative numbers, their absolute values will be positive numbers. If a is greater than b, then the absolute value of a must be greater than the absolute value of b. This can be expressed mathematically as follows:

|a| > |b|

This equation states that the absolute value of a is greater than the absolute value of b. In other words, the distance between a and zero is greater than the distance between b and zero on a number line.

To illustrate this, let’s take an example of two negative numbers, a=-3 and b=-5. The absolute values of these two numbers are 3 and 5 respectively. Since 3 is greater than 5, the absolute value of a is greater than the absolute value of b. This holds true regardless of the sign of the numbers, as long as a is greater than b.

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Answer:

x = 1178 games

Step-by-step explanation:

Let the number of games = x

Let the total cost = Tc

Let the total revenue = Tr

Given the following data;

Investment = $10,000

Cost of each game = $1.50

Selling cost = $9.99

Total cost, Tc = (Cost of each game * Number of games) + Investment

Tc = 1.50x + 10000

Total revenue, Tr = Selling cost * Number of games

Tr = 9.99x

Breakeven point is when total cost is equal to total revenue;

Tc = Tr

\( 1.50x + 10000 = 9.99x\)

\( 9.99x - 1.50x = 10000\)

\( 8.49x = 10000\)

\( x = \frac {10000}{8.49}\)

x = 1177.86 ≈ 1178 games.

Therefore, the number of games that must be sold before the business breaks even is 1178 games.

Answer:

cweds

Step-by-step explanation:

To determine if a data point is considered an outlier for a data set, we need to calculate the interquartile range (IQR) and use it to define the outlier boundaries. The IQR is the difference between the third quartile (Q3) and the first quartile (Q1). The correct option is (B).

We have that Q1 = 9 and Q3 = 17, we can calculate the IQR as follows:

IQR = Q3 - Q1 = 17 - 9 = 8

To identify outliers, we can use the following rule:

- Any data point that is less than Q1 - 1.5 * IQR or greater than Q3 + 1.5 * IQR is considered an outlier.

Using this rule, we can evaluate each data point:

A. 27: This data point is greater than Q3 + 1.5 * IQR = 17 + 1.5 * 8 = 29. It is considered an outlier.

B. 17: This data point is not an outlier because it is equal to the third quartile (Q3).

C. 3: This data point is less than Q1 - 1.5 * IQR = 9 - 1.5 * 8 = -3. It is considered an outlier.

D. 41: This data point is greater than Q3 + 1.5 * IQR = 17 + 1.5 * 8 = 29. It is considered an outlier.

Therefore, the outliers in the data set are A (27) and D (41).

As for when to use the mean, it is generally recommended to use the mean as a measure of central tendency when the data is symmetric and does not have extreme values.

Therefore, the correct option would be B. When the data is symmetric.

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Mr. Dumani must make monthly payments of R9915.31 to the sinking fund to save what he needs by 1 June 2020.

Cost of the new minibus in 2020= \(R550 000 (1+9\%)^7\)

= R 983 834.13

Therefore, Mr. Dumani expects to pay R983 834.13 to replace his minibus in 2020.4.2

The depreciation rate is 14% p.a. on the reducing balance, therefore:

Book value of the minibus= \(R550 000 (1- 14\%)^7\)

= R 144 898.16

Therefore, the book value of his present minibus when he sells it is R144 898.16.4.3

The present value of the future value of R983 834.13 is given by:

\(R550 000 = R983 834.13/ (1+i)^7\).

Here, i= 9% p.a., so 1 + i= 1.09.

The formula above becomes:

\(R550 000 = R 983 834.13/1.09^7\).

\(So, R 550 000 (1.09)^7= R983 834.13\)

Therefore, the amount that Mr. Dumani needs to save in the sinking fund is R983 834.13.

Amount required in the sinking fund= R983 834.13.

Mr. Dumani has to make the equal monthly payments into the sinking fund on the first day of each month, starting in one month's time (1st July 2013).

He makes the last payment into the account on 1st June 2020, and the bank pays interest at a rate of 8% p.a. compounded monthly.

Using the formula:

\(PMT = A / ((1 - (1 + r/n)^(-nt)) / (r/n)).\)

Where: A = amount required; r = interest rate; n = number of times interest is compounded; t = time in years; PMT = monthly payment.

We substitute the given values and calculate the monthly payment:

\(PMT = 983834.13 / ((1 - (1 + 0.08/12)^(-((7*12)))/(0.08/12)))\\= R 9,915.31.\)

Therefore, Mr. Dumani must make monthly payments of R9915.31 to the sinking fund to save what he needs by 1 June 2020.

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