How can I write this differently, 270 students don’t like carrots

Answer:

12

Step-by-step explanation:

Let x = number of 50.00 notes.

They are worth 50x

Then, 2x = number of 20.00 notes.

They are worth 2x * 20 = 40x

50x + 40x < 1100

90x < 1100

9x < 110

x < 12.2

Answer: 12

Check:

x = 12   (number of 50.00 notes)

2x = 24    (number of 20.00 notes)

12 * 50 + 24 * 20 = 1080

If she used one more 50.00 note, she'd go over 1,100, so 12 is correct.

Answer:

The quantity of acid in the solution is 47.1 ml.

Step-by-step explanation:

Iyell will save $7.68 on a classical music CD that has a price of $23.99.

Off means in market - The actual price of the objects/things will be different from the marked price.

Coupon means in market - The actual price of the objects/things will get reduced after applying the coupon.

For example:

1. 20% off on $60.

so, the price of $60 will get reduced by 20%

20% of $60 = ( 20x60 ) /100 = $12

actual price will be $60 - $12 = $48

Here, we have given that the marked price of CD is $23.99

First the 15% off sale will apply on the CD

15% of $23.99 = (15 x 23.99 ) / 100 = $3.5985

now, the price of CD will become, $23.99 - $3.5985 = $20.3915

now, to get maximum discount Iyell will apply the coupon for 20% extra off.

20% of $20.3915 = $4.0783

then, the actual price of CD will become, $20.3915 - $4.0783 = $16.3132

Iyell have save $4.0783 + $3.5985 = $7.68

Hence, Iyell will save $7.68 on a classical music CD that has a price of $23.99.

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Among the options provided, historical data can be used to guide the choice of the probability distribution for a random variable.

Historical data provides information about past occurrences and can be analyzed to understand the distribution of the variable in question. By examining the frequency and patterns of past observations, one can gain insights into the underlying probability distribution that best represents the random variable.

Forecasting results can also play a role in selecting a probability distribution, as it involves predicting future outcomes based on available data.

The forecasting process may involve evaluating different probability distributions and selecting the one that aligns with the observed patterns and is most suitable for predicting future events.

Likelihood factors and an objective function are not directly related to the choice of a probability distribution. Likelihood factors typically refer to the factors that influence the likelihood of a particular outcome, while an objective function is a measure used to optimize a certain goal or objective.

While these factors may indirectly inform the choice of a probability distribution, they are not specific guidelines for selecting the distribution itself.

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Answer:

yw

Step-by-step explanation:

i dont get it

Answer:

Samantha and Henry are would need to plant 15 tulips and 9 daises.

or 3 sets.

Given that,

The three numbers are consecutive

The three numbers are

x

x + 1

x + 2

Also,

x × (x + 1) = (x + 2) + 7

x² + x = x + 9

x² + x - x = 9

x² = 9

x = √9

x = 3

The three numbers

x = 3

x + 1 = 4

x + 2 = 5

The sum of the three numbers

3 + 4 + 5 = 12

The minimum score needed to be in the top 2% of the exam is 90.5, which is two standard deviations above the mean.

To calculate the minimum score needed to be in the top 2%, we need to find the value of two standard deviations above the mean. This can be done using the formula x = μ + (2σ), where μ represents the mean and σ represents the standard deviation. In this case, μ = 76.4 and σ = 6.1. We substitute these values into the formula to get x = 76.4 + (2*6.1), which equals 90.5. Therefore, the minimum score needed to be in the top 2% is 90.5. To further understand this calculation, it is important to note that the normal distribution curve is symmetrical. This means that the area under the curve that is two standard deviations above the mean is 2%, which is the same as the area under the curve that is two standard deviations below the mean. Therefore, the score that is two standard deviations above the mean is the minimum score needed to be in the top 2%.

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Answer:

y = -3

Step-by-step explanation:

The given line is a horizontal line thru -5 on the y-axis.

Your line is parallel to y = -5, hence is also a horizontal line and passes thru (2, -3).  Since -3 is the y-coordinate of that point, y = -3 is the equation of the line you are looking for.

The function df(x, y) = (y^2 - xy)dx - x^2 dy is an inexact differential.

To determine if a function is exact or inexact, we need to check if its partial derivatives with respect to x and y satisfy the condition ∂M/∂y = ∂N/∂x, where df(x, y) = M(x, y)dx + N(x, y)dy.

In this case, we have M(x, y) = y^2 - xy and N(x, y) = -x^2. Calculating the partial derivatives, we find:

∂M/∂y = 2y - x

∂N/∂x = -2x

Since ∂M/∂y is not equal to ∂N/∂x (2y - x ≠ -2x), the function df(x, y) = (y^2 - xy)dx - x^2 dy is inexact.

Next, we can test the integrating factor 1/(xy^2) to see if it produces an exact differential. The integrating factor is denoted by μ(x, y) and is given by μ(x, y) = e^(∫(∂M/∂y - ∂N/∂x)/N dx). If the resulting expression becomes an exact differential, the integrating factor is successful.

In this case, the integrating factor μ(x, y) = e^(∫(2y - x)/(-x^2) dx) = e^(-2y/x). However, integrating factor μ(x, y) does not produce an exact differential, and hence, it is not a suitable integrating factor for this function.

Lastly, the expression H(g) represents the enthalpy change of a substance g. The notation Hˉ∘(2000 K) - Hˉ∘(0 K) indicates the difference in enthalpy between the substance at 2000 Kelvin and 0 Kelvin. To calculate this difference, additional information or a specific equation relating enthalpy change to temperature is needed. Without further details, it is not possible to provide a numerical calculation for Hˉ∘(2000 K) - Hˉ∘(0 K) for H(g).

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The two points where the line meets the circle are (3,6) and (8,3).

To find the coordinates of the point where the line 2x+2y=18 meets the circle (x-2)^2+(y-3)^2=16, we need to first solve the system of equations.

We can start by simplifying the equation of the line by dividing both sides by 2, giving us x+y=9. We can then substitute y=9-x into the equation of the circle,

which results in (x-2)^2+(9-x-3)^2=16. Simplifying this equation yields x^2-4x+4+x^2-12x+81=16. Combining like terms and solving for x, we get x=3 or x=8.

Substituting these values back into the equation of the line gives us the corresponding y-coordinates of 6 and 3, respectively.

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From the triangle ABC, we have;

i. tan B = b/a

ii. sin A = a/c

iii. sin B = b/c

iv. cos A = b/c

v. tan A = a/b

Trigonometric functions are basic functions which are required to determine the value of an unknown side, or measure of angle of a given triangle. Some trigonometric functions are: sine, cosine, tangent etc.

From the given triangle, it can be deduced that;

a. tan B = opposite/ adjacent

            = b/a

b. sin A = opposite/ hypotenuse

             = a/c

c. sin B = opposite/ hypotenuse

            = b/c

d. cos A = adjacent/hypotenuse

              = b/c

d. tan A = opposite/ adjacent

             = a/b

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Answer: $(d-3c)

Step-by-step explanation:

Total amount Tina had = $d

Cost of cupcakes = $c

Number of cupcakes purchased = 3

Therefore,

Total cost of cupcakes = cost per cupcake × number of cupcakes

Total cost of cupcakes = $c × 3 = $3c

Amount left after cupcake purchase:

Total amount Tina had - total cost of cupcakes :

$d - $3c

The function that can be used to find the total cost C(h) to get pinstriping that requires h hours to complete is; C(h) = 50h + 30

We are given the following costs in the car detailing shop as follows;

Cost of Materials = $30

Cost per hour for labor = $50

Since the equation of a line in slope intercept form is; y = mx + c, then we can say that the equation here can also be expressed as;

C(h) = 30 + 50h

The function that can be used to find the total cost C(h) to get pinstriping that requires h hours to complete is; C(h) = 30 + 50h

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The improper integral \(\int_{0}^{2} x^{2} \ln x d x\) is convergent.

The given integral is as follows:

\($$\int_{0}^{2} x^{2}\ln x dx$$\)

In order to determine whether the improper integral is convergent or divergent, we use integration by parts and calculate the following:

\($$\int_{0}^{2} x^{2}\ln x dx = \lim_{t \rightarrow 0} \int_{t}^{2} x^{2} \ln x dx$$\\$$= \lim_{t \rightarrow 0} \Biggl(\left[x^{2}\cdot\frac{\ln x}{3}\right]_{t}^{2/3}-\frac{2}{3}\int_{t}^{2/3}x\ln x dx\Biggr)+\int_{2/3}^{2} x^{2} \ln x dx$$\\$$= \lim_{t \rightarrow 0} \Biggl(\frac{4}{9}(\ln2-2\ln3)-\frac{2}{3}\int_{t}^{2/3}x\ln x dx\Biggr)+\int_{2/3}^{2} x^{2} \ln x dx$$\)

Now, we have to determine the value of $$\int_{0}^{2/3} x\ln x dx$$

We use integration by parts here as well:

\($$\int_{0}^{2/3} x\ln x dx = \left[\frac{x^{2}}{2}\ln x \right]_{0}^{2/3} - \int_{0}^{2/3} \frac{x}{2} dx$$\\$$=-\frac{1}{4}\cdot\frac{8}{27}\\=-\frac{1}{27}$$\)

Putting this value back into the initial integral equation, we get:

\($$\int_{0}^{2} x^{2}\ln x dx = \frac{4}{9}(\ln2-2\ln3)-\frac{2}{3}\cdot\frac{-1}{27}+\int_{2/3}^{2} x^{2} \ln x dx$$\\$$= \frac{4}{9}(\ln2-2\ln3)+\frac{2}{81}+\int_{2/3}^{2} x^{2} \ln x dx$$\)

Since the integral on the right side of the equation is finite, the improper integral is convergent.

Answer: Therefore, the improper integral\(\(\int_{0}^{2} x^{2} \ln x d x\)\) is convergent.

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The integral is convergent. Thus, the value of the improper integral is:\[\int_{0}^{2} x^2\ln x \; dx = \frac{8}{3}\ln 2 - \frac{8}{27}\]

The given integral is given below:

\(\[\int_{0}^{2}x^2\ln x \; dx\]\)

To determine whether the integral is convergent or divergent, we need to apply integration by parts, where:

\(\[u=\ln x\] \[dv=x^2 \; dx\]\[du = \frac{1}{x} \; dx\] \[v = \frac{1}{3} x^3\]\)

By applying the formula of integration by parts, we get:

\(\[\int_{0}^{2} x^2\ln x \; dx = \frac{1}{3} \left[x^3 \ln x\right]_0^2-\frac{1}{3}\int_{0}^{2}x^3\frac{1}{x} \; dx\]\[= \frac{1}{3}\left[2^3 \ln 2\right] - \frac{1}{3} \int_{0}^{2} x^2 \; dx\]\[= \frac{8}{3}\ln 2 - \frac{1}{3} \left[\frac{1}{3} x^3\right]_0^2\]\[= \frac{8}{3}\ln 2 - \frac{8}{27}\]\)

Now, let's determine whether the integral is convergent or divergent. As the integrand is continuous on the interval \([0,2]\), it is integrable on this interval.

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Answer:

About 204 people will go to the band in 2018.

Step-by-step explanation:

64 + 54 + 46 + 40 = 204.

A histogram is a graph that displays the distribution of data by showing the frequency of values within certain intervals, also known as bins.

The shape of the histogram can give us information about the distribution of the data, such as whether it is symmetrical, skewed, or multi-modal. In the case of the students weighing the 1.6 ounce bag of Peanut M&Ms, the instructor would expect the readings to be relatively close to the true weight, as the students are skilled at reading the balance scale. This means that the distribution of the readings would be close to a normal distribution, which is also known as a bell-shaped or Gaussian distribution. A normal distribution is symmetrical around the mean, with most of the data clustered around the center and tapering off as the values deviate from the mean.

Based on this information, Histogram III best represents the expected distribution of the students' balance-scale readings, as it has a bell-shaped and symmetrical distribution. The other histograms do not have the same shape and symmetry, so they are less likely to accurately represent the distribution of the readings.

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The measure of the angle opposite the longest side is approximately 56.32 degrees.The measure of the angle opposite the longest side of a triangle can be found using the Law of Cosines.

In this case, the sides of the triangle are given as 13 ft, 15 ft, and 11 ft. To find the measure of the angle opposite the longest side, we can apply the Law of Cosines to calculate the cosine of that angle. Then, we can use the inverse cosine function to find the actual measure of the angle.

Using the Law of Cosines, the formula is given as:

\(c^2 = a^2 + b^2 - 2ab * cos(C)\)

Where c is the longest side, a and b are the other two sides, and C is the angle opposite side c.

Substituting the given values, we have:

\(13^2 = 15^2 + 11^2 - 2 * 15 * 11 * cos(C)\)

169 = 225 + 121 - 330 * cos(C)

-177 = -330 * cos(C)

cos(C) = -177 / -330

cos(C) ≈ 0.5364

Using the inverse cosine function, we find:

C ≈ arccos(0.5364) ≈ 56.32 degrees

Therefore, the measure of the angle opposite the longest side is approximately 56.32 degrees.

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Answer:

looks like school work

Step-by-step explanation:

DO IT ON YOUR OWN

Step-by-step explanation:

55,000 +2,500+62,000+2,000

The cost to pay for the gas if this car made a trip of 866 miles cost is $53.31.

A car averages 32 mpg and gas costs $1.97 per gallon.

By unitary method for 866 miles, average would be,

= 866/32

= 27.0625 miles per gallon

and the cost to pay for the gas if this car made a trip of 866 miles would be,

= 27.0625 × $1.97

= $53.31

Therefore, the cost to pay for the gas if this car made a trip of 866 miles cost is $53.31.

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Answer:

y=13

Step-by-step explanation:

Because m=slope=

13 − 13/11 - 13 = 0

therefore we use y=13 because the y value is always the same, and the two point have the same y value.

​

The different programs (in terms of order) that can be arranged is 120 different ways

Since we are dealing with arrangements, this is a permutation problem.

If there are three bands and two comics performing at a show, the total band will be 5 bands

The number of different programs that can be arranged will be 5!

5! = 5 * 4 * 3 * 2

5! = 60 * 2

5! = 120 ways

Hence the different programs (in terms of order) that can be arranged is 120 different ways

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do u want us to draw it 4 u ? cuz I can

The man's BMI is approximately 22.09 based on his weight of 154 pounds and height of 70 inches.

To calculate the Body Mass Index (BMI) of a person, we use the following formula:

BMI = weight (in kilograms) / height^2 (in meters)

First, we need to convert the weight from pounds to kilograms. Since 1 pound is approximately 0.4536 kilograms, the man's weight of 154 pounds is equal to 69.85 kilograms (rounded to two decimal places).

Next, we need to convert the height from inches to meters. Since 1 inch is equal to 0.0254 meters, the man's height of 70 inches is equal to 1.778 meters (rounded to three decimal places).

Now, we can calculate the BMI using the formula:

BMI = 69.85 kg / (1.778 m)^2

Calculating this expression, we find that the man's BMI is approximately 22.09 (rounded to two decimal places).

In summary, the man's BMI is approximately 22.09 based on his weight of 154 pounds and height of 70 inches.

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The following C code generates an arithmetic sequence with N terms using the given general term expression and recurrence relation:

#include <stdio.h>

int main() {

   int N;

   printf("Enter the number of terms: ");

   scanf("%d", &N);

   int sequence[N];

   sequence[0] = 1;

   for (int i = 1; i < N; i++) {

       sequence[i] = sequence[i - 1] + 2;

   }

   printf("The general term: ");

   for (int i = 0; i < N; i++) {

       printf("%d ", sequence[i]);

   }

   printf("\nThe recurrence relation: ");

   for (int i = 0; i < N; i++) {

       printf("%d ", sequence[i]);

   }

   return 0;

}

The program starts by including the necessary header file stdio.h for input and output operations.

The main() function is defined, which is the entry point of the program.

A variable N is declared to store the number of terms inputted by the user.

The user is prompted to enter the number of terms using the printf() function and the input is read using the scanf() function.

An array sequence of size N is declared to store the arithmetic sequence.

The first term of the sequence is assigned as 1 (sequence[0] = 1).

A loop is started from i = 1 to N - 1 to calculate the remaining terms of the sequence.

Inside the loop, each term is calculated using the recurrence relation: sequence[i] = sequence[i - 1] + 2.

After calculating the sequence, the program prints the general term by looping through the sequence array and displaying each term using the printf() function.

Similarly, the program prints the recurrence relation by looping through the sequence array and displaying each term.

Finally, the return 0 statement indicates successful program execution and the program terminates.

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When the consumption schedule lies below the 45-degree reference line, it means that at every level of income, people are consuming less than their income.

The consumption schedule represents the relationship between income and consumption in an economy, while the 45-degree reference line represents the line where income and consumption are equal.

In this scenario, saving occurs because people are not spending all of their income. The difference between their income and consumption is their savings. Thus, the amount of saving in the economy will increase as the consumption schedule moves further below the 45-degree reference line.

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When the consumption schedule lies below the 45-degree reference line, saving what does it means?

Answer:

C. 1

The expression which is equivalent to 5^0

is 1.

Hope it will help :)❤

A person with a Z-score of -0.42 would have a raw score of 992.4 on the SAT taken in 2018.

The standard deviation is a measure of how much the data varies from the mean. A Z-score is a standardized value that represents the number of standard deviations a raw score is from the mean.

To find the raw score given a Z-score, we can use the following formula:

raw score = mean + Z-score * standard deviation

For the mean composite score of 1068 and a standard deviation of 180, we can plug in the values for the Z-score of -0.42:

raw score = 1068 + (-0.42) * 180

raw score = 1068 - 75.6

raw score = 992.4

Note: The Z-score of -0.42 indicates that the raw score is 0.42 standard deviations below the mean.

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Answer:

The explanation is given below:

Step-by-step explanation:

The computation of the number of pencils she bought is shown below:

It could be

6 × 2 boxes = 12

6 × 3 boxes = 18

6 × 4 boxes  = 24

6 × 5 boxes = 30

6 × 6 boxes = 36

And so on