FIND THE MISSING NUMBER!



8, 18, 11, 15, 5, 4, 14, 9, 19, 1, 7, 17, 6, 16, ?, ?, ?, ?, ?,

The volume under the elliptic paraboloid over the rectangle R=[−1,1]×[−1,1] is 32/5 cubic units.

To calculate the volume under the elliptic paraboloid over the given rectangle, we need to set up a double integral. The volume can be calculated as the double integral of the function z=3x^2+5y^2 over the rectangle R=[−1,1]×[−1,1].

∫∫R (3x^2 + 5y^2) dA

Using the properties of double integrals, we can rewrite the integral as:

∫∫R 3x^2 + ∫∫R 5y^2 dA

The integration over each variable separately gives:

(3/3)x^3 + (5/3)y^3

Evaluating the above expression over the rectangle R=[−1,1]×[−1,1], we get:

[(3/3)(1^3 - (-1)^3)] + [(5/3)(1^3 - (-1)^3)]

Simplifying further:

(2/3) + (10/3)

Which equals 32/5 cubic units. Therefore, the volume under the elliptic paraboloid over the given rectangle is 32/5 cubic units.

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We employ a two-tailed test when determining if a sample mean would be either significantly higher and otherwise significantly lower than what the population mean.

A two-tailed test in statistics determines if a sample is more than or less than a specific range of values by using a two-sided critical area of a distribution.

Thus, we employ a two-tailed test when determining if a sample mean would be either significantly higher and otherwise significantly lower than what the population mean.

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The amount of $27,446.13 represents the total interest paid on a trailer loan of $24,000 over a period of eight years with an interest rate of 10%.

To calculate the total interest paid, we can use the formula:

Interest = Principal * Rate * Time.

Given that the principal amount (loan) is $24,000, the interest rate is 10%, and the time period is eight years, we can substitute these values into the formula.

Interest = $24,000 * 0.10 * 8

= $19,200

However, the total interest paid is given as $27,446.13, which is higher than the calculated interest. This additional amount could be due to compounding interest or additional fees associated with the loan.

In conclusion, they arrived at the amount of $27,446.13 by calculating the interest based on the given principal, interest rate, and time period.

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Answer:

(-6,8)

Step-by-step explanation:

SANA NAKATULONG AKO

CORRECT ME IF I WRONG

Answer:

(-6, - 8)

Step-by-step explanation:

\(\begin{cases}y = x - 2....(1)\\ \\2x + 4 = y....(2)\end{cases} \\ \\ from \: equations \: (1) \: and \: (2) \\ \\ 2x + 4 = x - 2 \\ \\ 2x - x = - 2 - 4 \\ \\ x = - 6 \\ \\ y = - 6 - 2 \\ \\ y = - 8 \\ \\ (x \: \: y) = ( - 6 \: \: - 8)\)

If each value in a data set is decreased by 7 , when each value in a data set is decreased by 7, the mean, median, and mode are all affected by a decrease of 7.However, if the mode was not one of the values that was decreased by 7, then it will remain the same .

The median, on the other hand, may or may not change. The median is the middle value in a data set, so if the data set has an odd number of values, the median will remain the same because the middle value will still be the same. However, if the data set has an even number of values, the median may change because there will no longer be a single middle value. In this case, the new median will be the average of the two middle values, which may or may not be different from the original median.

The mode, or the most common value in the data set, may or may not change as well. If the mode is one of the values that was decreased by 7, then it will no longer be the most common value and a new value will take its place as the mode. However, if the mode was not one of the values that was decreased by 7, then it will remain the same.

Mean: The mean, or average, is calculated by adding all the data values and dividing by the total number of values. When each value is decreased by 7, the overall sum of the values is reduced by 7 times the total number of values. As a result, the mean will also decrease by 7.

Median: The median is the middle value in a data set when the values are arranged in ascending or descending order. Since each value is decreased by the same amount (7), the order of the values does not change, and the median value will also be decreased by 7.

Mode: The mode is the value that occurs most frequently in a data set. Decreasing each value by 7 does not affect the frequency of the values, only their magnitude. Thus, the mode will also be decreased by 7.

When each value in a data set is decreased by 7, the mean, median, and mode are all affected by a decrease of 7.

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Answer:

So if you Divided the number of students to the number of the teachers you will have 19 students to each one teacher which means:

Step-by-step explanation:

100÷5=20 ( 19 students & 1 teacher )

science each bus can hold a maximum of 40 people.

100 = 20 20. 20. 20. 20

20 + 20 = 40 ( first bus )

20 + 20 = 40 ( second bus )

last 20 alone ( third bus )

The final answer is the fewest number of buses required for the field trip is 3 buses.

The plot of x(2-n) would be a rectangular pulse with height 1, extending from -4 to 2, and having a width of 6.

The values of x(2-n) are 0 for -∞ to -4 (exclusive) and 0.5 for n = -4 or 2, and 1 for -2 < n < 4 (exclusive), and 0 for n ≥ 4.

To determine if a discrete-time signal is periodic, we need to check if there exists a positive integer value 'N' such that shifting the signal by N samples results in an identical signal. If such an N exists, it is called the fundamental period.

a) For x[n] = 2 cos(5π/14 n + 1):

Let's find the fundamental period 'N' by setting up an equation:

2 cos(5π/14 (n + N) + 1) = 2 cos(5π/14 n + 1)

We can simplify this equation by noting that the cosine function repeats every 2π radians. Therefore, we need to find an integer 'N' that satisfies the following condition: 5π/14 N = 2π

Simplifying this equation, we find:

N = (2π * 14) / (5π) = 28/5 = 5.6

Since 'N' is not an integer, the signal x[n] is not periodic.

b) For x[n] = 2 sin(π/8 n) + cos(π/4 n) − 3 cos(π/2 n + π/3):

Similarly, let's find the fundamental period 'N' by setting up an equation:

2 sin(π/8 (n + N)) + cos(π/4 (n + N)) − 3 cos(π/2 (n + N) + π/3) = 2 sin(π/8 n) + cos(π/4 n) − 3 cos(π/2 n + π/3)

By the same reasoning, we need to find an integer 'N' that satisfies the following condition: π/8 N = 2π

Simplifying this equation, we find:

N = (2π * 8) / π = 16

Since 'N' is an integer, the signal x[n] is periodic with a fundamental period of 16.

Now, let's plot the discrete-time signal x(2-n):

x(2-n) is obtained by flipping the original signal x[n] about the y-axis. Therefore, the plot of x(2-n) would be the same as the plot of x[n] but reversed horizontally.

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To improve the survey on the consistency of the number of babies on each flight, it would be beneficial to ask travelers to fill out a questionnaire, conduct the survey during different times of the year, on different days of the week, and using flights to and from various locations.

To improve the survey on the consistency of the number of babies on each flight, the following options can be considered:

i. Ask travelers to fill out a questionnaire: By asking travelers to fill out a questionnaire, the airline can collect data on the number of babies on each flight more accurately. This method allows for systematic data collection and reduces reliance on memory or estimation.

iii. Conduct the survey during different times of the year: Conducting the survey during different times of the year helps to capture seasonal variations in the number of babies on flights. It provides a broader perspective on the consistency of the number of babies across different travel periods.

iv. Conduct the survey on different days of the week: Surveying flights on different days of the week allows for an examination of any day-specific patterns or variations in the number of babies on flights. This helps in understanding if there are specific days that have higher or lower numbers of babies.

v. Conduct the survey using flights to and from various locations: Extending the survey to flights to and from various locations helps in capturing the variability of the number of babies across different routes. It provides a more comprehensive understanding of the consistency of the number of babies on flights, taking into account different origins and destinations.

ii. Conduct the survey at the entrance to the airport: Conducting the survey at the entrance to the airport may not be an effective method to gather accurate data on the number of babies on flights. This approach may be prone to biases, as not all travelers entering the airport would necessarily be taking a flight. It is better to survey passengers specifically on the flights being studied.

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Answer:

True

Step-by-step explanation:

12/1=12

36/3=12

60/5=12

120/10=12

All of it equals the same number, so they are increasing by the same amount, making it a proportional relationship.

Please give brainliest if I helped! :)

[1] The box will go from 10 to 12.

[2] A line dividing the box will be at 12.

[3] The left whisker will go from 4 to 15.

[4] The right whisker will go from 12 to 20.

Then:

[2] A line dividing the box will be at 12.

Step-by-step explanation:

     The box goes from the lower quartile (10) to the upper quartile (15) so option 1 is incorrect.

     Option 2 is correct because the line dividing the box is the median, and this data has a median of 12 so the line will be at 12.

     A box plot uses the medians and quartiles to show how data is throughout the graph. The "whiskers" go from the lowest data value to the lower quartile and from the highest data value to the upper quartile. We do not have the information to talk about this, so options 3 and 4 are incorrect.

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.

- Heather

Total amount of money in the account in the second bank after 3 years will be represented by the function: P\(e^{0.0747}\).

The formula for calculating the amount (A) on a principal (P) invested at the rate of r%, compounded continuously after t years is-

A = P\(e^{rt}\)

Here, we are given that there are 2 financial institutions-

1st financial institution:

interest rate =  3% for the first year

and interest rate for next two years = 2%

2nd Financial institution:

interest rate = 2.49% for three years

Let the principal amount deposited be P

We assume that the interest is compounded continuously.

Then for the 2nd bank-

Amount = P\(e^{rt}\)

here, r = 2.49%

= 0.0249

Amount = P\(e^{0.0249 * 3}\)

= P\(e^{0.0747}\)

Thus, the total amount of money in the account in the second bank after 3 years will be given by the function- P\(e^{0.0747}\).

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Answer:

x

Step-by-step explanation:

tan33° = \(\frac{opposite}{adjacent}\) = \(\frac{x}{25}\)

Answer:

Male

Step-by-step explanation:

There are 28 males and 26 professors so you are more likely to choose a male rather than professor of any other gender!

Answer:

5

Step-by-step explanation:

25x+5=130 ( corresponding angles are congruent )

25x=125

x=5

The reduced gradient is analogous to the residual for linear models.

In linear regression, the residual represents the difference between the observed values and the predicted values of the dependent variable. Similarly, in optimization, the reduced gradient represents the difference between the current solution and the optimal solution. It is a measure of how far the current solution is from the optimal solution in the direction of the search. By minimizing the reduced gradient, we can move closer to the optimal solution.

The reduced gradient is a widely used optimization technique in non-linear programming that allows for efficient computation of the descent direction at each iteration while accounting for constraints. It involves calculating a partial derivative of the objective function with respect to the variables that are not restricted by the constraints, and then projecting the resulting gradient onto the space defined by the constraints. The resulting vector is called the reduced gradient, and it points in the direction of the steepest descent that is feasible.

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The equation for temperature change is T = -1.5t + 29 and the number line is plotted.

What is a number line?

A picture of numbers on a straight line is called a number line. It serves as a guide for contrasting and arranging numbers. Any real number, including all whole numbers and natural numbers, can be represented by it.

Let T represent the temperature in degrees Celsius, and let t represent the time in hours after lunchtime.

Then write an expression for the situation as follows:

T = -1.5t + 29

Here, -1.5t represents the decrease in temperature per hour, since the temperature is dropping at a rate of 1.5 degrees Celsius per hour.

Adding 29 to -1.5t gives the initial temperature of 29 degrees Celsius at lunchtime.

To illustrate this situation on a number line diagram, we can plot the temperature T as a function of time t.

The diagram would have time t on the horizontal axis and temperature T on the vertical axis.

Label the point (0, 29) on the diagram to represent the temperature at lunchtime, and the point (x, 16) to represent the temperature at sunset, where x is the number of hours after lunchtime.

Then draw a straight line connecting these two points to represent the linear relationship between temperature and time.

The line slopes downward from left to right, indicating that the temperature is decreasing over time.

Therefore, the number line diagram is plotted.

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On Tuesday at lunchtime, it was 29 degrees Celsius. By sunset, the temperature had dropped to 16 degrees Celsius. Please write an expression for the situation, and draw a number line diagram.

To find the value of x, we need to use the fact that when two lines intersect, the sum of the adjacent angles formed is equal to 180 degrees.

In this case, the angle formed between lines s and t is 23 degrees, and the angle formed between lines r and s is 106 degrees. Let's denote the angle between lines t and r as x.

Using the information given, we can set up the equation:

(106 degrees) + (23 degrees) + x = 180 degrees

Combine the known values:

129 degrees + x = 180 degrees

To isolate x, subtract 129 degrees from both sides of the equation:

x = 180 degrees - 129 degrees

x = 51 degrees

Therefore, the value of x is 51 degrees.

In conclusion, the value of x, the adjacent angles formed between intersecting lines t and r, is 51 degrees.

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Total bags

\(\\ \sf\longmapsto 24\dfrac{1}{2}\div \dfrac{1}{4}\)

\(\\ \sf\longmapsto \dfrac{49}{2}\times 4\)

\(\\ \sf\longmapsto 49(2)\)

\(\\ \sf\longmapsto 98bags\)

Circumference = diameter x pi

Circumference = 36 x 3.14 = 113 feet

Divide circumference by length of fence piece:

113/1.5 = 75.36 = 76 pieces are needed.

Answer:

1: 1/4 dollars or .25 dollars or 25%

2: 150 cents

3: 100 cents

4: 1/100 dollars, or 0.01 dollars, or 1%

Step-by-step explanation:

The answers to the given problems are found by converting the units as $0.25, 150 cents, 100 cents and $0.01.

A measurement unit is a unit to measure certain quantities. For example, the mass can be measured in kilograms, length can be measured in meter and time can be measured in seconds.

The given problem can be solved as follows,

(1) The cost of sticker in cents is 25.

Since 1 dollar = 100 cents

⇒ 1 cent = 1/100 dollars

⇒ 25 cent = 25/100 = 0.25 dollars.

Thus, the cost of sticker is $0.25.

(2) The cost of the pen is 1.50 dollars.

Since 1 dollar = 100 cents

⇒ 1.50 dollar = 1.50 × 100 = 150 cents

(3) There are 100 cents in one dollar.

(4) There are 1/100 = 0.01 dollars in one cent.

Hence, the answers to all the problems are obtained as $0.25, 150 cents, 100 cents and $0.01.

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Answer:

13cm

Step-by-step explanation:

the formula for finding the hypotenuse is:

\(c=\sqrt{a^{2} +b^{2} }\)

C is always the longest side of the triangle. In your question, it would be the side without any measurement.

It doesn't matter which side is A and which side is B, so, suppose that A is 12 and B is 5.

Now just solve for C

C=\(\sqrt{12^{2} + 5^{2} }\)

C=\(\sqrt{144+25}\)

C=13

Therefore, the missing side is 13 cm

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Answer: 13cm I think

Step-by-step explanation:

Step-by-step explanation:

Total Angle in a triangle is 180°

so D = 140 + 25 = 165°

D = 190° - 165° = 15°

Your answer is 15°.

Answer:

angle d = \(\boxed{15}^ {\circ}\)

Step-by-step explanation:

The angles in a triangle add up to 180°.

∴ ∠d + 25° + 140° = 180°

⇒ ∠d + 165° = 180°

⇒ ∠d = 180° - 165°

⇒ ∠d = 15°

Answer:

Step-by-step explanation:

(2,4) is point lying on the line represented by 5x + 2y  = 18.

They are not intercepts.

x-intercept is point where the line crosses the x-axis and so, y-co ordinate at x-intercept is 0.

y-intercept is point where the line crosses they-axis and so,x-co ordinate at y-intercept is 0.

5x + 2y = 18

To find x-intercept, put y = 0 in the equation

           5x = 18

             x = 18/5

             x = 3.6

To find y-intercept, put x = 0 in the equation

          2y = 18

             y = 18/2

             y = 9

x-intercept : (3.6 , 0)

y-intercept :(0, 9)

Answer:

x=1.5 y=-1/3

Step-by-step explanation:

2x-3y=4

2x+8=11

Let's subtract 8 from both sides of the second equation:

2x=3

x=1.5

Substituting this into the first equation, we get:

2(1.5)-3y=4

3-3y=4

-3y=1

y=-1/3

Answer: 18 dollars

Step-by-step explanation:

Answer:

-212

Step-by-step explanation:

This question seems to be incrementing by steps of -4, starting at -8.  To get the 52'nd term, we can simply start at the first term and add that -4 51 more times.

Assuming that negative eight is the first term then, we get:

-8 - 4 * 51

= -8 - 204

= -212

The 52nd term of the sequence will be -212.

A sequence of events or things is a number of events or things that come one after another in a particular order.

Given a sequence, -8, -12, -16,...

nth term of a sequence is given by

an = a + (n-1)*d

a(-212) = -8 + (52-1)*-4

a(-212) = -8-204

a(-212) = -212

Hence, The 52nd term of the sequence will be -212.

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The measure of an exterior angle of a triangle is equal to the measure of its neighboring interior angle if both measure 90 degrees, according to the theory of supplementary angles.

If the sums of two angles equal 180 degrees, they are said to be supplementary.

However, two angles do not need to be near one another in order to be complementary.

If two angles' measures sum up to 180 degrees, they are said to be supplementary.

A triangle's outside angle complements the neighboring inner angle.

The adjacent internal angle will therefore likewise be 90 degrees if the exterior angle is.

Therefore, the measure of an exterior angle of a triangle is equal to the measure of its neighboring interior angle if both measure 90 degrees, according to the theory of supplementary angles.

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Correct question:
Can the measure of an exterior angle of a triangle ever equal the measure of its adjacent interior angle? Explain in 2-3 sentences.

Answer:

Rational

Step-by-step explanation:

Rational numbers have terminating decimals

Answer: rational

Step-by-step explanation: 4.680 is a rational number because it can be written as a fraction. Irrational numbers are fractions that can’t be written as a fraction, which isn’t the case for 4.680.

Answer: D- a reflection of ^RST across the line y=-x

Step-by-step explanation:

The solution is, O a reflection of RST across the line y=-x, is the reflection which will produce an image of RST with a vertex at (2, -3).

Reflection is a type of transformation that flips a shape in a mirror line (also called a line of reflection) so that each point is the same distance from the mirror line as its reflected point.

here, we have,

from the given figure,

we get,

Triangle RST has,

vertex R ( -1,3)

vertex S ( 3, -2)

vertex t (1, -4)

now we know that,

the rule of a reflection across the line y=-x,

(x, y) ⇒ (-x, -y)

so, we get, here,

vertex S ( 3, -2) ⇒ vertex at (2, -3)

so, there is  O a reflection of RST across the line y=-x.

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