Which statement is true about the box plots? Select three options.

Ms. Dobson’s class has a smaller range of scores.
The district has a greater interquartile range.
Fifteen is an outlier for the district’s scores.
One hundred is an outlier for the district’s scores.
In general, the district’s scores were better than those of Ms. Dobson’s class.

Answer:

true,true,false,false

The anti derivative of the function eˣ² is eˣ²/2x.

The given function is;  eˣ².

To find the anti derivative of the function, integrate the function with respect to x.

Let y = eˣ²

Integration of exponential function remains same but applying the chain rule, the derivative of the power of exponent comes at the denominator.

∫y. dx = ∫eˣ² .dx.

∫eˣ² .dx. = eˣ²/(d/dx)x²

∫eˣ² .dx. =  eˣ²/2x

Thus, the anti derivative of the function is found as eˣ²/2x.

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If the incenter, circumcenter, centroid, and orthocenter are always inside the triangle, the correct answer is an acute triangle (option B).

In an acute triangle, all three angles are less than 90 degrees. The incenter, which is the center of the inscribed circle, lies inside the triangle. The circumcenter, which is the center of the circumscribed circle, also lies inside the triangle.

The centroid, which is the point of intersection of the medians, is located inside the triangle as well. Finally, the orthocenter, which is the point of intersection of the altitudes, is inside the triangle in an acute triangle.

In contrast, a right triangle has one angle measuring 90 degrees, an obtuse triangle has one angle greater than 90 degrees, and an isosceles triangle has two equal side lengths. These types of triangles may have some of the points (incenter, circumcenter, centroid, orthocenter) located outside the triangle.

Therefore, the correct answer is option B, acute triangle.

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Answer:

8x+3y=-6

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

y=mx+b where m=slope and b=y-intercept.

Answer:

Step-by-step explanation:

Therefore, the equation of the line is:y = (9/2)x + 27The required general form of the equation of the line is 9x - 2y = 54

The given equation of the line is 9x − 2y = 7. We need to find the general form of the equation of the line passing through the point (6, -3) and parallel to the given line. Explanation: We know that the equation of a line is given by y = mx + b where m is the slope of the line and b is the y-intercept. To find the slope of the given line, we write it in slope-intercept form as follows:

9x − 2y = 79x − 7 = 2yy = (9/2)x - 7/2

Thus, the slope of the given line is 9/2. A line parallel to this line will have the same slope. Therefore, the equation of the line passing through (6, -3) and parallel to the given line is:y = (9/2)x + Now we use the given point (6, -3) to find the value of b:

y = (9/2)x + by = (9/2)(6) + by = 27

Thus, the equation of the line is:y = (9/2)x + 27The required general form of the equation of the line is 9x - 2y = 54.  The required general form of the equation of the line is 9x - 2y = 54.

Therefore, the equation of the line is:y = (9/2)x + 27. The required general form of the equation of the line is 9x - 2y = 54.

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Answer:

55

Step-by-step explanation:

20%= 11

1% = 11/20

100% = 11/20 x 100

100% = a

a= 55

Answer:

x=9

Step-by-step explanation:

isolate the variable by dividing each side by factors that dont contain the variables.

can i get the crown?

Answer:

x = 9

Step-by-step explanation:

5x - (8x -17) = -10

Rewrite the equation and take away the brackets:

5x - 8x + 17 = -10

5x - 8x = -10 - 17

5x - 8x = -27

-3x = -27

x = -27 ÷ -3

x = 9

I hope this helps!

Answer:

The solution of a number divides by 8 equals to 4.

Step-by-step explanation:

This statement does not match with the condition discussed above.

Answer:

800x40=32000

Step-by-step explanation:

Basically its 800 40 times.

Answer:

32,000

Step-by-step explanation:

First put 800 over 40

Second, multiply the 3rd zero by the first zero of 40

Multiply the 2nd zero by the same zero of 40

Multiply 8 by 4 and the result should be 800

Then you multiply 800 by 4.

0 x 4 is 0

0 x 4 is 0

8 x 4 is 32

(Make sure you add the zero from 40)

Put it together and you get 32,000

The value of x when the quadratic expression  t² - 8t + 16 is factorised to (t + a)² is -4.

Quadratic expression is an expression with the variable with the highest power of 2. The quadratic equation in its standard form is ax² + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term.

Therefore, let's factorised the expression t² - 8t + 16 in the form (t + a)². Where a is an integer.

Hence,

t² - 8t + 16

t² - 4t - 4t + 16

t(t - 4) -4(t - 4)

(t - 4)(t - 4)

Hence,

(t + a)² = (t - 4)²

Therefore,

a = -4

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(a) the required monthly loan payment on the car is approximately $528.23, (b)your friend still owes approximately $17,833.86 on the car loan after the 24th monthly payment, (c)it will take your friend approximately 23 months (rounded up to the nearest month) to pay off the remaining loan she owes after the 24th payment, given the increased monthly payment of $100.

(a) The required monthly loan payment on the car can be calculated using the formula for the monthly payment on a loan. Given a car loan of $28,000, financed at an interest rate of 0.50% per month for 60 months, the monthly payment can be determined using the following formula:

Monthly Payment = (Loan Amount * Monthly Interest Rate) / (1 - (1 + Monthly Interest Rate)^(-Number of Months))

Plugging in the values, we have:

Monthly Payment = (28000 * 0.005) / (1 - (1 + 0.005)^(-60))

Calculating this, the required monthly loan payment on the car is approximately $528.23.

(b) After making the 24th monthly payment, your friend still owes a remaining balance on the car loan. To calculate this, we need to determine the remaining balance based on the number of payments made and the original loan amount. We can use the formula:

Remaining Balance = Loan Amount * (1 + Monthly Interest Rate)^Number of Payments - (Monthly Payment * ((1 + Monthly Interest Rate)^Number of Payments - 1) / Monthly Interest Rate)

Plugging in the values, we have:

Remaining Balance = 28000 * (1 + 0.005)^24 - (528.23 * ((1 + 0.005)^24 - 1) / 0.005)

Calculating this, your friend still owes approximately $17,833.86 on the car loan after the 24th monthly payment.

(c) If your friend decides to pay $100 more each month after the 24th payment, we can calculate the number of months it will take her to pay off the remaining loan balance. Using the increased monthly payment, we can calculate the new remaining balance and divide it by the increased monthly payment to determine the number of months needed to pay off the loan.

New Remaining Balance = Remaining Balance - (Monthly Payment + Additional Monthly Payment) * ((1 + Monthly Interest Rate)^Number of Payments - 1) / Monthly Interest Rate

Number of Months = New Remaining Balance / (Monthly Payment + Additional Monthly Payment)

Plugging in the values, we have:

New Remaining Balance = 17,833.86 - (528.23 + 100) * ((1 + 0.005)^x - 1) / 0.005

Number of Months = New Remaining Balance / (528.23 + 100)

By solving the equation, it will take your friend approximately 23 months (rounded up to the nearest month) to pay off the remaining loan she owes after the 24th payment, given the increased monthly payment of $100.

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Answer: 120 degrees, the total is 720 degrees, so that divided by 6 is 120

Answer:

14. :D

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Slope is rise

              run

identify 2 points on the graph that the line passes through. start at the leftmost point and determine how many points up the next point is (this is the rise part). then determine how far the points are from each other (this is the run part)

In this case you end up with 1/1, 2/2, 3/3, etc. All of which are equal to one

have a nice day :)

A fingernail is a flat horn-like modification of the epidermis that serves to protect the dorsal surface of the tip of the finger or toe.

Fingernails are hard, flat structures made up of a protein called keratin. They are an essential part of our fingers and toes and serve various functions. One of their primary roles is to provide protection to the delicate tissues and nerve endings present at the tips of our fingers and toes.

The fingernail is formed by specialized cells in the nail matrix, which is located at the base of the nail underneath the cuticle. As new cells are produced, they push older cells forward, causing the nail to grow. The visible part of the nail that extends beyond the fingertip is called the nail plate.

The nail plate is composed of several layers of hardened keratinized cells that are tightly packed together. It appears translucent and has a slightly pinkish hue due to the blood vessels beneath it. The nail plate is firmly attached to the nail bed, which is the skin beneath the nail.

Fingernails play a crucial role in protecting the sensitive fingertips. They act as a shield, reducing the direct impact on the fingertips and preventing injuries from accidental bumps or knocks. They also act as a barrier, protecting the underlying tissues from external factors such as chemicals, dirt, and microorganisms.

Additionally, fingernails aid in enhancing the sensitivity of our fingertips. The presence of nails allows us to have a finer sense of touch and better manipulate objects with precision. They assist in activities like gripping, picking up small objects, and performing intricate tasks.

Nail care is important to maintain healthy and strong nails. Regular trimming, filing, and cleaning help prevent nails from becoming too long or prone to breakage. Proper hygiene, including keeping nails clean and dry, reduces the risk of infections. Additionally, maintaining a balanced diet rich in vitamins and minerals contributes to the overall health and strength of the nails.

In summary, fingernails are flat, horn-like structures that protect the tips of our fingers and toes. They serve as a shield, enhance sensitivity, and contribute to the overall functionality of our hands and feet. Taking care of our nails is essential for their health and to ensure their proper functioning.

Therefore, "A fingernail is a flat horn-like modification of the epidermis that serves to protect the dorsal surface of the tip of the finger or toe."

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The number of four digit odd numbers that can be formed so that no digit being repeated in any number is

a. 2240

Odd numbers are the numbers that cannot be divided by 2 evenly. It cannot be divided into two separate integers evenly. If we divide an odd number by 2, then it will leave a remainder.

The number should be formed with a number of digits is 4. The four digits odd number that we have to form should be less than 10000 (the last 4 digit number) and greater than 1000 ( the last 3 digit number)

Now, the four digit number consists of one’s, ten’s, hundreds and thousands digits, so the possible one’s digit will be 1, 3, 5, 7 and 9 because we have to form the odd number, so 1, 3, 5, 7and 9 are odd numbers it means one of the total 5 numbers can be placed at one’s digit.

Then the thousand’s place can be one of the 1, 2, 3, 4, 5, 6, 7, 8, and 9, but one of them is already occupied by one’s digit, then only one of the 8 numbers is possible to place in the thousand's number.

And the hundred’s also the same, 8 possible numbers, and coming to the ten’s place, we will have only 7 possible numbers to place in it.

Then the number could be 8×8×7×5=2240

So the number of four-digit odd numbers can be formed is 2240.

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The temperature equation is T(x) = 180 - 2.25*x, using that we will see:

A) after 20 minutes the temperature is 135

B) the temperature will be 100 after 35.56 minutes.

We know that the initial temperature is 180°F and it changes at a rate of -2.25°F per minute, so after x minutes, the temperature is:

T(x) = 180 - 2.25*x

A) after 20 minutes, the temperature is:

T(20) = 180 - 2.25*20 = 135

The temperature after 20 minutes is 135

B) How long will it take to go from 180°F to 100°F?

We need to solve the equation:

T(x) = 100

180 - 2.25*x = 100

180 - 100 = 2.25*x

80/2.25 = x

35.56 = x

So after 35.56 minutes, the temperature will be 100°F

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The intercept in a regression equation is the point where the regression line intersects with the y-axis. In the context of hurricane wind speed and central pressure, the intercept represents the predicted value of the dependent variable (wind speed) when the independent variable (central pressure) is zero.

However, this interpretation is not necessarily meaningful in this context, as it is unlikely for the central pressure of a hurricane to be exactly zero. Instead, the intercept can be interpreted as the average predicted wind speed when central pressure is at its minimum or near its minimum (i.e., the closest value to zero in the data set). It is important to note that this interpretation assumes that the relationship between wind speed and central pressure is linear, and that the range of central pressure values in the data set is sufficiently close to zero to make this interpretation meaningful. If the relationship is not linear or if the range of central pressure values is far from zero, the intercept may not have a meaningful interpretation in the context of the data.

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The solution to the variable x is 12 and the measure of ∠B is 48°.

∠A = 5x−12°

∠B = 2x+24°

Angle A and Angle B are congruent angles.

Congruent angles are angles with the same or equal measures.

So,

∠A = ∠B

5x - 12 = 2x + 24

5x - 2x = 24 + 12

3x = 36

divide both sides by 3

x = 36/3

x = 12

So therefore,

∠A = 5x−12°

= 5(12) - 12

= 60 - 12

= 48°

∠B = 2x+24°

= 2(12) + 24

= 24 + 24

= 48°

Therefore, since ∠A and ∠B are congruent, the measure of ∠A and ∠B is 48° respectively.

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Given:

The figure.

To find:

The segment bisector of MN and value of MN.

Solution:

From the given figure it is clear that ray RP,i.e., \(\overrightarrow {RP}\) is the segment bisector of MN because it divides segment MN in two equal parts.

Now,

\(3\dfrac{5}{6}=\dfrac{3\times 6+5}{6}\)

\(3\dfrac{5}{6}=\dfrac{23}{6}\)

Since, \(\overrightarrow {RP}\) is the segment bisector of MN, therefore,

\(MN=2\times \dfrac{23}{6}\)

\(MN=\dfrac{23}{3}\)

\(MN=7\dfrac{2}{3}\)

Therefore, the length of MN is \(7\dfrac{2}{3}\).

Answer:

Up to 60% of the human adult body is water.

Step-by-step explanation:

Answer:

73% water, and the lungs are about 83% water. The skin contains 64% water, muscles and kidneys are 79%, and even the bones are watery: 31%.

Step-by-step explanation:

The verbal expressions A. half of five more than a number, C. five more than half a number, and D. half of five less than a number represent the given algebraic expression when assigned with a variable. The expressions are 1/2(x + 5), 5 + 1/2x, and 1/2(x - 5).

The verbal expressions that represent the algebraic expressions are A. half of five more than a number, C. five more than half a number, and D. half of five less than a number. To convert these expressions into algebraic form, we need to assign a variable, say x, to the unknown number.

A. Half of five more than a number can be expressed algebraically as 1/2(x + 5). B. Twice a number and five can be written algebraically as 2x + 5. C. Five more than half a number can be expressed algebraically as 5 + 1/2x. D. Half of five less than a number can be written algebraically as 1/2(x - 5).

Therefore, the expressions that represent the given algebraic expression are A. half of five more than a number, C. five more than half a number, and D. half of five less than a number. Expression B represents a different algebraic expression altogether.

To summarize, three of the given verbal expressions represent the given algebraic expression, which can be converted to algebraic form by assigning a variable to the unknown number. These expressions are 1/2(x + 5), 5 + 1/2x, and 1/2(x - 5).

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When a point on a triangle is dilated, the coordinate of the vertex changes

The coordinate of the vertex after the dilation is (-1.5,4)

The given parameters are:

(x,y) = (-3,8)

k = 0.5

To calculate the coordinate of the vertex after the dilation, we make use of:

(x,y)' = k * (x,y)

So, we have:

(x,y)' = 0.5 * (-3,8)

Evaluate the product

(x,y)' = (-1.5,4)

Hence, the coordinate of the vertex after the dilation is (-1.5,4)

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Answer:

Step-by-step explanation:

1). There is 5 hours between 8:15 A.M. and 3:15 P.M.

7 × 60 - 10 = 410 minutes

2). 6 hours and 50 minutes

3). Right angle (90°)

4). Obtuse angle (120°)

Answer:

a=1

b=-4

The graph is a parabola with vertex in (2,-9), y-intercept (0,-5) and x-intercepts (+5,0) and (-1, 0)

Step-by-step explanation:

\(xv = \frac{ - b}{2a} \)

\(yv = f(xv)\)

y-intercept: P(0, c)

x-intercepts: find x1 and x2 with the quadratic formula, then P1(x1, 0) and P2(x2, 0)

Answer:

Answer: a= 1 b= -4

Step 2 find the vertex formula x = -b/2aX= 4/2(1)X= 2

Find the y-coordinate of the vertex: f(x)= 2^2-4(2)-53F(2)= -9

Step 3: plot the vertex(2,-9)

Step 4: factor the function to find the x- intercepts

X-intercepts are: (5,0) and (-1,0)

Step 5: plot x-interceptsStep

6: find y-interceptF(0)= -5

Step 7: plot -5

Done :)

Step-by-step explanation:

Answer:

7. 2s^7

8. 2s^4/5s^2

9. 108s^9

10. h^7

Step-by-step explanation:

7) (2s^3)^4

= 2s^(3+4)

= 2s^7.

8) (2s^2/5s)^2

= (2s^4/5s^2)

= 2s^4/5s^2.

9) 3s^5 × 4s^-2 × 9s^6

= 12s^{5+(-2)} × 9s^6

= 12s^3 × 9s^6

= 108s^9.

10) h^5/h^-2

= h^{5-(-2)}

= h^7.

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