in a class of 37 students, 24 study history, 15 study Geography and 6 other study neither History nor Geography. find how many students study both history and Geography brainly

Answer:

B

Step-by-step explanation:

Domain is the x value and it is asking your for the coordinates with the same x value.

Answer:

Im hella sorry i couldn't find the answer i tried my best sorry :c

Answer:

13. you have to divide the numbers. hope this helps.

The rationalization of the denominator gives 4√3 + 5√ 2/4√3 - 3√2

Rationalization of surds is simply converting the denominator of a fraction from an irrational number to a rational number.

Given that;

\( \frac{4 \sqrt{3} + 5 \sqrt{2} }{ \sqrt{48} - \sqrt{18} } \)

Let's find the perfect squares in 48 and 18

For √48 = √ 16 ×3

√18 = √ 9 × 2

Substitute into the denominator

\( \frac{4 \sqrt{3} + 5 \sqrt{2} }{ \sqrt{16 \times 3} - \sqrt{9 \times 2} } \)

Find the squares

\( \frac{4 \sqrt{3} + 5 \sqrt{2} }{4 \sqrt{3} - 3 \sqrt{2} } \)

Thus, the rationalization of the denominator gives 4√3 + 5√ 2/4√3 - 3√2

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Answer:

6 - 16y

................

Your longitude in DMS is 135 degree. So the option D is correct.

This is because there are 12 hours left in the local time ( i.e. 12 hours noontime or mid-day).

As UT (or GMT) time is 9 p.m., there are 9 hours between GMT time and local time.

9 hours = 9 × 60 minutes = 540 minutes

Now, we know that:

Every four minutes, the Earth turns one degree.

Thus, 1-degree longitude difference = 4 minutes

Or, 4 minutes of time difference = 1 degree of longitude

Or, 1 minute of time difference = 1/4 degree of longitude

Or, 540 minutes of time difference = (1/4) × 540 degrees of longitude

540 minutes of time difference = 135 degrees of longitude

Also, we can infer that the current location is in the Western hemisphere because we know that it is 9 hours behind GMT (or UT) time.

Hence, the longitude of the current location = 135⁰

So the option 4 is correct.

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The complete question is:

Your chronometer is set for Greenwich Mean Time (GMT or Universal Tim, UT). High noon at your present location is 9 pm UT. What is your longitude in DMS (not decimal degrees)?

1. 30° 18'W

2. 30° 16'W

3. 30° 17'W

4. none of the above

A statement which would be the best measures of center and variation to use to compare the data include the following: B. Both distributions are nearly symmetric, so the mean and the standard deviation are the best measures for comparison.

In Mathematics and Statistics, skewness can be defined as a measure of the asymmetry of a box plot (box-and-whisker plot) and as such, a box plot (box-and-whisker plot) has a normal distribution when it is symmetrical.

By critically observing the table which represent the test scores of students who studied for a test as a group (Group A) and students who studied individually (Group B), we can reasonably infer and logically deduce that the mean and the standard deviation are the best measures for comparison because both data distributions are nearly symmetric.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer

D:9

Step-by-step explanation:

i took the test and got it right

Answer:

D- 9

Step-by-step explanation:

good luck :)

Answer:

A

Step-by-step explanation:

k=1 ,i THINK

Answer:

2.4 cm

Step-by-step explanation:

The scaled dimension on the drawing \(=\) (Scale-factor) \(\times\) (Original dimension)

She decides to draw 1cm for the original length of 0.5m=50 cm.

For this, the scaled dimension on the drawing=1cm and

the original dimention=50 cm

So, the scale-factor = 1/50.

As the kitchen door is 1.2m wide, i.e the original width of the door is 120 cm.

So, the scaled width of the door is

\(120\times \frac{1}{50}=2.4 cm.\)

Hence, on the drawing, the width of the kitchen door should be 2.4 cm.

Answer:

Step-by-step explanation:

\(\frac{3x^3}{12x^{-2}} = \frac{x^5}{4}\)

Tyna's mistake was that , she miswrote x^-2 as x^2

The latest time for pickup, found by converting the 150 minutes maximum time provided by the school, from minutes to hours is about 5:45 pm

Minutes can be converted into hours by dividing the number of minutes by 60, which is the number of minutes in an hour.

The time that school ends = 3:15 pm

The latest time for pick up after school care = 150 minutes after school ends

Therefore, the latest time for pick up after school care = 3:15 pm + 150 minutes

60 minutes = 1 hour

150 minutes = (1/60) × 150 = 2.5

The latest for pick up = 3:15 pm + 2.5 hours = 5:45 pm

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Answer:

     (-1.5, 9) midpoint of AB

Step-by-step explanation:

The midpoint of A"B" is ...

  M" = (A" +B")/2 = ((-3, 1) +(4, -9))/2 = (-3+4, 1-9)/2 = (1/2, -4)

We can "undo" the reflection across the x-axis to find M'. Reflecting M" back across the x-axis negates its y-coordinate:

  M' = (1/2, 4)

We can undo the translation right 2 and down 5 by translating M' left 2 and up 5.

  M = M' +(-2, 5) = (1/2-2, 4 +5)

  M= (-1.5, 9)

The midpoint of AB is (-1.5, 9).

a)  The x-intercepts of the graph of f(x) are x = 2.5 and x = -1.

b) The coordinates of the vertex are (0.75, -5.125).

c) By using the x-intercepts and vertex obtained in Parts A and B, we can accurately depict the shape and positioning of the parabolic graph of f(x).

Part A: To find the x-intercepts of the graph of f(x), we set f(x) equal to zero and solve for x.

Setting f(x) = 0:

\(2x^2 - 3x - 5 = 0\)

To solve this quadratic equation, we can either factor it or use the quadratic formula. In this case, factoring is not straightforward, so let's use the quadratic formula:

x = (-b ± √(b^2 - 4ac)) / (2a)

For our equation, a = 2, b = -3, and c = -5. Substituting these values into the quadratic formula:

x = (-(-3) ± √((-3)^2 - 4(2)(-5))) / (2(2))

x = (3 ± √(9 + 40)) / 4

x = (3 ± √49) / 4

x = (3 ± 7) / 4

This gives us two possible solutions:

x1 = (3 + 7) / 4 = 10/4 = 2.5

x2 = (3 - 7) / 4 = -4/4 = -1

Therefore, the x-intercepts of the graph of f(x) are x = 2.5 and x = -1.

Part B: To determine whether the vertex of the graph of f(x) is a maximum or minimum, we need to consider the coefficient of the x^2 term in the function f(x). In this case, the coefficient is positive (2), which means the parabola opens upward and the vertex represents a minimum point.

To find the coordinates of the vertex, we can use the formula x = -b / (2a). In our equation, a = 2 and b = -3:

x = -(-3) / (2(2))

x = 3 / 4

x = 0.75

To find the corresponding y-coordinate, we substitute x = 0.75 into the function f(x):

f(0.75) = 2(0.75)^2 - 3(0.75) - 5

f(0.75) = 2(0.5625) - 2.25 - 5

f(0.75) = 1.125 - 2.25 - 5

f(0.75) = -5.125

Therefore, the coordinates of the vertex are (0.75, -5.125).

Part C: To graph the function f(x), we can follow these steps:

Plot the x-intercepts obtained in Part A: (2.5, 0) and (-1, 0).

Plot the vertex obtained in Part B: (0.75, -5.125).

Determine if the parabola opens upward (as determined in Part B) and draw a smooth curve passing through the points.

Extend the curve to the left and right of the vertex, ensuring symmetry.

Label the axes and any other relevant points or features.

By using the x-intercepts and vertex obtained in Parts A and B, we can accurately depict the shape and positioning of the parabolic graph of f(x).

The x-intercepts help determine where the graph intersects the x-axis, and the vertex helps establish the lowest point (minimum) of the parabola. The resulting graph should show a U-shaped curve opening upward with the vertex at (0.75, -5.125) and the x-intercepts at (2.5, 0) and (-1, 0).

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3Answer:

7%, 1/12, 0.1, 2/9, 0.26, 1/3

Step-by-step explanation:

To solve this question, the first step is converting all numbers into decimals.

7% = 0.07

1/3 = 0.33

0.1

0.26

1/12 = 0.083

2/9 = 0.2222

Now we can sort them, from least to greatest, leaving us with:

7%, 1/12, 0.1, 2/9, 0.26, 1/3

Converting fractions to decimals

1/3

1/3 is one divided by three

1/12

This is one divided by 12.

1. The percentage of students who said that Math was their favorite subject in elementary school will be 53.3%.

2. The percent of change for History being the favorite subject between elementary school and graduating from high school will be 26.6%.

From the information, the study asked the same 15 students their favorite subject at three different times.

The percentage of students who said that Math was their favorite subject in elementary school will be:

= 8 / (8 + 1 + 3 + 3) × 100

= 8 / 15 × 100

= 53.3%

The percent of change for History being the favorite subject between elementary school and graduating from high school will be:

= (5/15 × 100) - (1/15 × 100%)

= 33.3% - 6.67%

= 26.6%

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Answer:

=4x^2−12x+9

Step-by-step explanation:

=(2x+−3)(2x+−3)

=(2x)(2x)+(2x)(−3)+(−3)(2x)+(−3)(−3)

=4x2−6x−6x+9

=4x2−12x+9

Yes, there is a correlation between these measures. The higher the placement exam score, the higher the student's score on their first exam tends to be. For example, students with placement exam scores of 11 and 49 had first exam scores of 27 and 71 respectively, indicating that the higher the placement exam score, the higher the first exam score.

A measure in mathematics is a generalization of the ideas of length, area, and volume. Measures are sometimes referred to as "mass distributions" informally. A measure, in more exact terms, is a function that gives numbers to particular subsets of a given set. This quantity is described as the set's measure.

To measure length or distance, this system employs inches, feet, yards, and miles. Volume or capacity are expressed in fluid ounces, cups, pints, quarts, or gallons. In ounces, pounds, and tons, weight or mass is expressed.

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Answer:

x = 17

Step-by-step explanation:

number of sides (n) = 5

Sum of angles of polygon = (n - 2) *180

                                            = 3 * 180 = 540

9x + 71 + 92 + 5x + 139 = 540

9x +5x + 71 + 92 + 139 = 540

                   14x + 302   = 540

                               14x  = 540 - 302

                                14x = 238

                                    x = 238/14

x = 17

The proportion is 1 : 3 and the number of black rabbits for Great Zucchini is B = 12

Given data ,

Let the ratio of black rabbits to white rabbits be 1 : 3

Given that the Great Zucchini has 36 white rabbits, we can set up a proportion to find the number of black rabbits:

Black rabbits / White rabbits = 1 / 3

On simplifying the proportion , we get

Black rabbits / 36 = 1 / 3

To solve for the number of black rabbits, we can cross-multiply:

Black rabbits = 36 x (1/3)

Black rabbits = 12

Hence , the Great Zucchini has 12 black rabbits

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Answer:

Step-by-step explanation:

Finding Slope:

Finding Y-Intercept:

Answer:

1.  Slope = 20

2.  y-intercept = 60

Step-by-step explanation:

The slope of the line is found by dividing the change in y by the change in x or "rise over run":

\(\implies \textsf{slope}\:(m)=\dfrac{\textsf{change in $y$}}{\textsf{change in $x$}}=\dfrac{80-60}{2-1}=\dfrac{20}{1}=20\)

The slope of the line for the given situation is the fee per class. Therefore, there is a $20 fee for each class a customer at the gym attends.

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

The y-intercept is the y-value at the point at which the line intercepts the y-axis, so when x = 0.

From inspection of the given graph, y = 60 when x = 0.

\(\implies \textsf{$y$-intercept}=60\)

The y-intercept of the line for the given situation is the membership fee for the gym.  Therefore, the membership fee for the gym is $60.

This figure and the given statements are important for understanding basic principles of geometry.

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Answer:

x=1 x=-11

Step-by-step explanation:

first you need to find what two numbers add together to make 10x and multiply together to make 25-

this would be 5

so we can rewrite it as (x+5)(x+5) = 36

which is the same thing as (x+5)^2 =36

then taking the root of both sides we get (x+5)= plus or minus 6

so x=-11 or x equals 1

Thus, the circumference of this circle is 25.1cm when the radius is 4cm and pi is taken to be 3.142.

The circumference of a circle is defined as the distance around its edge. It is a fundamental geometric property of a circle and is an important value to know when calculating measurements for a variety of applications.

To work out the circumference of a circle, we need to know its radius and use a formula that relates the two values.

In this case, we are given that the radius of the circle is 4cm, and we are asked to work out its circumference using a value of 3.142 for pi.

The formula for calculating the circumference of a circle is:

Circumference = 2 x pi x radius

Substituting the values given in the question, we get:

Circumference = 2 x 3.142 x 4
Circumference = 25.136

To give our answer to one decimal place, we need to round this value to the nearest tenth. The digit in the tenths place is a 3, which is less than 5, so we can round down to get:

Circumference = 25.1cm

Therefore, the circumference of this circle is 25.1cm when the radius is 4cm and pi is taken to be 3.142.

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To find the parametric equations for the path of a particle moving along a circle with 0 ≤ t ≤ π, we'll start by considering the equation of a circle with radius r centered at (h, k):
(x-h)² + (y-k)² = r²
Now, to create parametric equations, we'll express x and y in terms of a parameter, t. In this case, t represents the angle (in radians) that the particle has traveled along the circle.
We can use the trigonometric functions sine and cosine to do this. For a circle with radius r centered at (h, k), the parametric equations will be:
\(x(t) = h + r*cos(t)\)
\(y(t) = k + r*sin(t)\)
Since we're given a range for t (0 ≤ t ≤ π), this means that the particle moves along a semicircle, starting at the initial point (h+r, k) when t=0 and ending at the point (h-r, k) when t=π.
To summarize, the parametric equations for a particle moving along a circle with radius r and center (h, k) for 0 ≤ t ≤ π are:
\(x(t) = h + r*cos(t)\)
\(y(t) = k + r*sin(t)\)

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The analysis conducted using regression analysis showed that the value score is influenced by several factors which include the price of the car, five-year owner costs, road-test score, and predicted reliability.

The following are the conclusions derived from the analysis of the FamilySedans dataset using regression analysis:Conclusions1. There is a significant correlation between the price of the car and the value score.2. The five-year owner costs have a positive correlation with the value score.3.

The road-test score has a positive correlation with the value score.4. Predicted reliability is negatively correlated with the value score.5. The value score is influenced by several factors which include the price of the car, five-year owner costs, road-test score, and predicted reliability.

The analysis conducted using regression analysis of the FamilySedans dataset revealed that there is a significant correlation between the price of the car and the value score. It was observed that cars that have a high price tend to have a higher value score compared to cars with a lower price.

The five-year owner costs were found to have a positive correlation with the value score, indicating that cars with low owner costs tend to have a higher value score.The road-test score was also found to have a positive correlation with the value score.

This implies that cars that have a high road-test score tend to have a higher value score. Predicted reliability was found to be negatively correlated with the value score. This suggests that cars with high predicted reliability tend to have a lower value score.

The analysis conducted using regression analysis showed that the value score is influenced by several factors which include the price of the car, five-year owner costs, road-test score, and predicted reliability.

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The peak runoff rate (ft 3/s) for a storm that is likely to occur once every 5 years is approximately 34.08 ft3/s.

Here's how to solve the problem:

Given: Watershed area (A) = 296 ac Weighted curve number (C) = 73Time of concentration (tc) = 2.7 hr. Return period (T) = 5 years

Solution: First, use the formula for the average rainfall intensity (i) during the 5-year storm event: i = (0.2/T)^0.8 x C x (10 / (t c + 10))^(0.5)where i is in inches/hour.

Substitute the values :i = (0.2/5)^0.8 x 73 x (10 / (2.7 + 10))^(0.5)i = 0.784 in/hr.

Next, calculate the rainfall volume (V) for the 5-year storm event: V = A x i where A is in acres and i is in inches/hour. Convert the area from acres to square feet: A = 296 ac x 43,560 ft^2/ac A = 12,893,760 ft^2

Substitute the values: V = 12,893,760 ft^2 x (0.784 in/hr / 12 in/ft)V = 849,581 ft^3. Now, calculate the peak runoff rate (Q) using the formula :

Q = (C x V) / (3600 x t c )where Q is in ft3/s and t c is in seconds.

Convert the time of concentration from hours to seconds: t c = 2.7 hr x 3600 sec/hr = 9,720 sec.

Substitute the values :Q = (73 x 849,581 ft^3) / (3600 sec/hr x 9,720 sec)Q = 23.692 ft^3/s

Finally, adjust the peak runoff rate for the 5-year storm event using the formula:Q5 = Q x 1.21where Q5 is the peak runoff rate for the 5-year storm event.

Substitute the value:Q5 = 23.692 ft^3/s x 1.21Q5 = 28.68 ft^3/s

Rounding to two decimal places, the answer is approximately 34.08 ft3/s.

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Answer:

T

Step-by-step explanation:

Just did it