The midpoint of AB is M(-5,4). If the coordinates of A are (-4,2), what are the coordinates of B?

Solution :

Given the equation :

\($y = x^2 - 6x+3 $\)

\($y=1(x^2 - 6x +n)+3$\)

\($n = \left(\frac{b}{2}\right)^2$\)

\($n = \left(\frac{6}{2}\right)^2$\)

n = 9

\($y=1(x^2 - 6x +9-9)+3$\)

\($y=1(x^2 - 6x +9)-9+3$\)

\($y=1(x-3)^2- 6$\)

Therefore the vertex form of \($y = x^2 - 6x+3 $\)  is  \($y=1(x-3)^2- 6$\).

Answer: C(t) =0.10t+25

Step-by-step explanation:

you can plug in the information as a slope of a line. (55-40)/(300-150) = 0.10

then enter it into the point slope form with point (150,40)= y-40=0.10(x-150) when done you get y=0.10x+25 which is the answer C(t)=0.10t+25

The angle measures for this problem are given as follows:

The sum of the measures of the internal angles of a triangle is of 180º.

The triangle in this problem is ABC, hence the measure of a is obtained as follows:

a + 68 + 50 = 180

a = 180 - (68 + 50)

a = 62º.

c and d are corresponding angles to angle a, as they are on the same position relative to parallel lines, hence their measures are given as follows:

Angle b is a corresponding interior angle with angle a, hence they are supplementary and it's measure is given as follows:

a + b = 180

62 + b = 180

b = 118º.

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Mean and IQR (Interquartile Range) give the best tools for measuring the center and spread. So, the correct option is C.

The mean is a measure of central tendency that is calculated by adding up all the values in a dataset and dividing by the number of values. The mean is sensitive to extreme values, also known as outliers, and can be affected by skewed data.

The IQR is a measure of spread that gives the range of the middle 50% of the data. It is calculated by finding the difference between the 75th percentile (Q3) and the 25th percentile (Q1) of the data. The IQR is less sensitive to outliers than the standard deviation, which is a measure of spread that gives the average distance of the data points from the mean.

The median is a measure of central tendency that is the middle value in a dataset when the values are arranged in order. It is less sensitive to extreme values than the mean and is useful when the data is skewed.

While mean and standard deviation are commonly used measures of center and spread, they may not be appropriate for all datasets, especially those that are skewed or contain outliers. Therefore, mean and IQR are often preferred for summarizing the center and spread of such data.

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Answer:

Step-by-step explanation:

The expression that can be used to find how many hours Victor played the guitar in the concerts is 8 × 2.75

Given:

Number of concerts Victor played this month = 8

Number of hours spent per each concert = 2.75 hours

Total hours Victor spent playing guitar this months = Number of concerts Victor played this month × Number of hours spent per each concert

= 8 × 2.75 hours

= 22 hours.

Therefore, the expression that can be used to find how many hours Victor played the guitar in the concerts is 8 × 2.75 and the total hours Victor spent playing guitar this months is 22 hours

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Distance traveled after toll payment is 1.2 miles on highway 40.

The distance may be calculated using a curved route. Displacement measurements can only be made along straight lines. Distance is path-dependent, meaning it varies depending on the direction followed. Displacement simply depends on the body's beginning and ending positions; it is independent of the route.

Distance is the sum of an object's movements, regardless of direction. Distance may be defined as the amount of space an item has covered, regardless of its beginning or finishing position.

The size or extent of the displacement between two points is referred to as distance. Keep in mind that the distance between two points and the distance traveled between them are not the same. The entire length of the journey taken between two points is known as the distance traveled. Travel distance is not a vector.

Distance traveled before toll payment =3/5 miles on highway 40

Distance traveled after toll payment =2*3/5  = 6/5 =

1.2 miles on highway 40.

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Answer:

28.9 units²

Step-by-step explanation:

The area of a rectangle formula with L being 8.5 units and B being 3.4 units, is 28.9 units². make sure to add the units squared, otherwise, it's wrong.

Always remember for area:

Hope this helps, if it is the best, mark brainliest, if not, hope it helps anyway.

The answer would be B, which is negative two.

Complete the table representing a linear function with y = 10 and x = 9

The general form of a linear function is:

y = mx + c,

where m is the slope and c is the y-intercept

slope(m) = (y2-y1)/(x2-x1)

From the table:

point 1: x1 = 1, y1 = 0

point 2: x2 = 5, y2 = 40

slope(m) = (40-0)/(5-1) = 40/4 = 10

For the missing points:

x1 = 1, y1 = 0 and x2 = 2, y2 = y (unknown)

m = (y2-y1)/(x2-x1)

10 = (y-0)/(2-1)

10 = y/1

y = 10

x1 = 1, y1 = 0 and x2 =  x (unknown), y2 =90

m = (y2-y1)/(x2-x1)

10 = (90-0)/(x-0)

10 = 90/x

10x = 90

x = 90/10

x = 9

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Answer:

0.045 or 9/2

Step-by-step explanation:

The Propositions are resulting

(a) ∀x∃y(x = y²) is False

(b) ∀x∃y(x² = y) is True.

(c) ∃x∀y(xy = 0) is True.

(d) ∀x∃y(x + y = 1) is True.

(a) ∀x∃y(x = y²)

This proposition states that for every x, there exists a y such that x is equal to y². To determine the truth value, we need to check if this statement holds true for every value of x.

If we take any positive value for x, we can find a corresponding value of y that satisfies the equation.

For example, if x = 4, then y = 2 satisfies the equation since 4 = 2². Similarly, if x = 9, then y = 3 satisfies the equation since 9 = 3².

Therefore, the proposition (a) is false.

(b) ∀x∃y(x² = y)

For any given positive or negative value of x, we can find a corresponding value of y that satisfies the equation.

For example, if x = 4, then y = 2 satisfies the equation since 4² = 2. Similarly, if x = -4, then y = -2 satisfies the equation since (-4)² = -2.

Therefore, the proposition (b) is true.

(c) ∃x∀y(xy = 0)

The equation xy = 0 can only be satisfied if x = 0, regardless of the value of y. Therefore, there exists an x (x = 0) that makes the equation true for every y.

Therefore, the proposition (c) is true.

(d) ∀x∃y(x + y = 1)

To determine the truth value, we need to check if this statement holds true for every value of x.

If we take any value of x, we can find a corresponding value of y that satisfies the equation.

For example, if x = 2, then y = -1 satisfies the equation since 2 + (-1) = 1. Similarly, if x = 0, then y = 1 satisfies the equation since 0 + 1 = 1.

Therefore, the proposition (d) is true.

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Answer:

y=1.164x+0.885

Step-by-step explanation:

np

The function is continuous in the domain x ≥ 3/4

Here we have a root function:

f(x) = ⁴√(4x - 3)

This is an even degree root function, so we have problems when the argument is negative.

Then the allowed values (where the function is defined, and thus, continuous) are:

4x - 3 ≥ 0

4x ≥ 3

x ≥ 3/4

There the function is continuous.

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Answer:

y-intercept is (0, -2)

x-intercept is (-1, 0)

Step-by-step explanation:

Answer:

Step-by-step explanation:

1/3 (12x + 24) - 9x

4x + 8 - 9x

8 - 5x

-6(x + 1)

-6x - 6

They are not equivalent

Answer:

no there not equilevent

Step-by-step explanation:

1/3(12x+24)-9x=-5x+8

multiply the term in parentheses by -6

-6(x+1)=-6x-6

Answer:

59°

Step-by-step explanation:

In triangle DAB, by Pythagoras theorem:

\( DB= \sqrt {6^2 +5^2} =\sqrt{36+25}=\sqrt{61}\)

Next, in triangle DCB, by Pythagoras theorem:

\( DB= \sqrt {(\sqrt {61} )^2 - 4^2} =\sqrt{61-16}=\sqrt{45}\)

Now, by sin rule.

\( \frac{ \sin \: p}{ \sqrt{45} } = \frac{ \sin 90 \degree}{ \sqrt{61} } \\ \\ \frac{ \sin \: p}{ 6.70820393} = \frac{ 1}{ 7.81024968 } \\ \\ \sin \: p = \frac{ 6.70820393}{7.81024968} \\ \\ \sin \: p = 0.858897501 \\ \\p = 59.19301883 \degree \\ \\ p \approx 59 \degree\)

Answers:

A, B, D, E

Nearly everything except choice C is true.

====================================================

Explanation:

Answer: 4.4

Step-by-step explanation:

First: Simplify the -7/10 to a decimal. That will be -0.7.

Second: Add -0.7 with 0.15. That gives you -0.55

Third: Divide -0.55 with -0.125 and that gives you 4.4

The smallest positive integer n such that t \($\sqrt[4]{56 \cdot n}$\)  is an integer is 686.

We have to find the smallest positive integer n such that \($\sqrt[4]{56 \cdot n}$\) is an integer

To find the smallest positive integer n such that  \($\sqrt[4]{56 \cdot n}$\)   is an integer, we need to determine the factors of 56 and find the smallest value of n that, when multiplied by 56, results in a perfect fourth power.

The prime factorization of 56 is:

56 = 2³ × 7

The prime factors of 56 need to be raised to multiples of 4.

Therefore, we need to determine the smallest value of n that includes additional factors of 2 and 7.

To make the expression a perfect fourth power, we need to raise 2 and 7 to the power of 4, which is 2⁴ × 7⁴

The smallest value of n that satisfies this condition is:

n = 2 × 7³ = 2× 343 = 686

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The linear function for the total cost C is:

A function is an expression, rule, or law that defines a relationship between one variable.

Example:

\(f(\text{x}) = 2\text{x} + 1\)

\(f(1) = 2 + 1 = 3\)

\(f(2) = 2 \times 2 + 1 = 4 + 1 = 5\)

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

The total cost for x cubic yards.

\(\bold{C = 28 + 48x}\)

Thus, the function is C = 28 + 48x.

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There are 7 pencils measuring more than 5 1/2 inches but less than 7 2/4 inches.

An inch is a unit of length in the imperial and US customary systems of measurement. Equal to 1/12 of a foot, it is usually denoted by the symbol "in". It is also equal to 2.54 centimeters. The inch is commonly used in the construction industry, engineering, and other fields.

To answer this question, we must first convert all of the measurements into the same unit of length. We will convert 5 1/2 inches and 7 2/4 inches into decimals by dividing the fractions by their denominators. 5 1/2 inches is equal to 5.5 inches and 7 2/4 inches is equal to 7.25 inches.

Now, we can calculate how many pencils are measuring more than 5.5 inches but less than 7.25 inches. To do this, we will subtract the smaller number (5.5) from the larger number (7.25).

7.25 - 5.5 = 1.75

This means that there are 1.75 inches between the two measurements. Since each pencil takes up about 0.25 inches, we can divide 1.75 by 0.25 to determine how many pencils would fit in that space.

1.75 / 0.25 = 7

Therefore, there are 7 pencils measuring more than 5 1/2 inches but less than 7 2/4 inches.

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Complete questions as follows-

how many pencils measure more than 5 1/2 inches but less than 7 2/4 inches?

Answer:

12

Step-by-step explanation:

-120 = -10c

12 = c

Answer:

c = 12

Step-by-step explanation:

The problem is multiplying a number, in this case c, by -10 to get -120. So, you would preform the opposite operation, which is division.

\(\frac{-120}{-10} =\frac{-10c}{-10}\)

12 = c

1. Mean = 33.61

2. Standard Deviation = 11.3284

3. Variance = 128.33

The given data are: \(22.8, 49.8, 17.5, 44.1, 33.2, 20.6, 43.2, 37.7\)

To get mean, we will sum up all the numbers and divide by the total count. The mean is:

= (22.8 + 49.8 + 17.5 + 44.1 + 33.2 + 20.6 + 43.2 + 37.7) / 8

= 268.9 / 8

= 33.62

Standard Deviation: \(\sqrt((22.8 - 33.61)^2 + (49.8 - 33.61)^2 + (17.5 - 33.61)^2 + (44.1 - 33.61)^2 + (33.2 - 33.61)^2 + (20.6 - 33.61)^2 + (43.2 - 33.61)^2 + (37.7 - 33.61)^2) / 8\)

= \(\sqrt{128.3336}\)

= 11.3284420818

= 11.3284

Variance = (Standard Deviation)^2

Variance = \(11.3284 ^2\)

Variance = 128.33264656

Variance = 128.33.

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Answer:

  (c)  y = 3^x

Step-by-step explanation:

A function is described as exponential if the independent variable is found in the exponent.

  y = x^(1/2) . . . a square root function, not exponential

  y = 2x^3 . . . . a cubic (polynomial) function, not exponential

  y = 3^x . . . . . an exponential function

Answer: 1/4f - 1/6

Each length side of Perimeter G is given as

Open the parenthesis by multiplying through by 1/4

1/4 x f - 1/4 x 2/3

1/4f - 2/12

1/4f - 1/6

The answer is 1/4f - 1/6

Answer:

a) \( s^2 =30^2 =900\)

b) \(\frac{(19)(30)^2}{30.144} \leq \sigma^2 \leq \frac{(19)(30)^2}{10.117}\)

\( 567.28 \leq \sigma^2 \leq 1690.224\)

c) \(23.818 \leq \sigma \leq 41.112\)

Step-by-step explanation:

Assuming the following question: Because of staffing decisions, managers of the Gibson-Marimont Hotel are interested in  the variability in the number of rooms occupied per day during a particular season of the  year. A sample of 20 days of operation shows a sample mean of 290 rooms occupied per  day and a sample standard deviation of 30 rooms

Part a

For this case the best point of estimate for the population variance would be:

\( s^2 =30^2 =900\)

Part b

The confidence interval for the population variance is given by the following formula:

\(\frac{(n-1)s^2}{\chi^2_{\alpha/2}} \leq \sigma^2 \leq \frac{(n-1)s^2}{\chi^2_{1-\alpha/2}}\)

The degrees of freedom are given by:

\(df=n-1=20-1=19\)

Since the Confidence is 0.90 or 90%, the significance \(\alpha=0.1\) and \(\alpha/2 =0.05\), the critical values for this case are:

\(\chi^2_{\alpha/2}=30.144\)

\(\chi^2_{1- \alpha/2}=10.117\)

And replacing into the formula for the interval we got:

\(\frac{(19)(30)^2}{30.144} \leq \sigma^2 \leq \frac{(19)(30)^2}{10.117}\)

\( 567.28 \leq \sigma^2 \leq 1690.224\)

Part c

Now we just take square root on both sides of the interval and we got:

\(23.818 \leq \sigma \leq 41.112\)

The images best represents the result is image W.

We have, the image is rotated about the x-axis.

Now, rotating around x axis can give the other half of the image.

Also, rotating about x axis gives the mirror image of the figure.

So, the rotation leads to a circle.

and, In three dimensional we can say that Sphere.

Thus, the required image is W.

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