The lines represented by the equations 25y
10x = 200 and 5y + 2x = 40 are
neither parallel nor perpendicular
perpendicular
the same line
parallel

Two angles whose sum is 180° are called supplementary angles. If a straight line is intersected by a line, then there are two angles form on each of the sides of the considered straight line.

Two angles whose sum is 180° are called supplementary angles. If a straight line is intersected by a line, then there are two angles form on each of the sides of the considered straight line. Those two-two angles are two pairs of supplementary angles. That means, that if supplementary angles are aligned adjacent to each other, their exterior sides will make a straight line.

ABCD is an inscribed polygon ⇒ Given

m∠ABC = 2(m∠D)                      ⇒ Inscribed Angle Theorem

m∠CDA = 2(m∠B)                      ⇒ Inscribed Angle Theorem

m∠ABC + m∠CDA = 360°         ⇒ The sum of arcs that make a circle is 360°

2(m∠D) + 2(m∠B) = 360°           ⇒ Substitution property

m∠D + m∠B = 180°                    ⇒ Division Property of Equality

Hence, ∠D and ∠B are supplementary angles

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Answer:

Step-by-step explanation:

1st 10 days - 8 GB

2nd 10 days - 8 GB

3rd 10 days - 8 GB

________________

30 days    -  24 GB

Question:

Suppose IQ scores were obtained for 20 randomly selected sets of couples. The 20 pairs of measurements yield x' =97.47, y' =97.35, r=0.892, P=0.000, and y^=-9.15+1.09x, where x represents the IQ score of the wife. Find the best predicted value of y given that the wife has an IQ of 104? Use a significance level of 0.05.

Answer:

y^ = 104.21

Step-by-step explanation:

Given:

n = 20

x' = 97.47

y' = 97.35

r = 0.892

P-value = 0.000

y^ = -9.15 + 1.09x

Here, the wife has an IQ of 104.

The regression equation here is given as:

y^ = -9.15 + 1.09x

Let x represent the IQ of the wife.

x = 104

Hence, the best predicted value of y^ will be:

Let's substitute 104 for x in tge regression equation.

y^ = -9.15 + 1.09(104)

y^ = - 9.15 + 113.36

y^ = 104.21

Therefore, the best predicted value of y^ = 104.21

9514 1404 393

Answer:

  $7056.83

Step-by-step explanation:

Deposits and interest are added to the balance. Withdrawals, purchases, and fees are subtracted from the balance. The end-of-month balance is ...

  $9145.87 +2793.71 -4871.90 -12.00 +11.15 = $7056.83

Answer:

The rate of temperatures in Celsius each hour

Step-by-step explanation:

The solution is,  Chun is correct.

The angle bisector divides the sides of the triangle proportionally. Any proportion that is written should equate ratios of corresponding sides.

here, we have,

Chun's proportion correctly relates the top-side measures to their corresponding bottom-side measures:

 top short : bottom short = top long : bottom long

 5 / 8 = 15 / x

Traci's error is that she mixes top-side and bottom-side measures. Her incorrect relation is ...

 top short : bottom long = bottom short : top long

She has used top:bottom for short measures and bottom:top for long measures. This mixing will give Traci an incorrect solution.

Chun's proportion correctly gives x=24.

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Answer:

24

Step-by-step explanation:

Answer:

the answer is the third one

Step-by-step explanation:

Let the ratio constant be 'x'

Sum of the ratios=3x+5x=8x

First person gets:-

3/8 x 560 = 210

Second person gets:-

5/8 x 560 = 350

The inequality for which 3, -4, 0, and 2,300 are solutions, is n ≥ -4.

In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to each other. To solve the inequality, you may multiply or divide each side by the same positive number, add the same amount to each side, take the same amount away from each side, and more. You must flip the inequality sign if you multiply or divide either side by a negative number.

We have numbers:

3, -4, 0, 2, and 300.

All the numbers are greater than or equals to -4.

So, the inequality is,

n ≥ -4.

And the solutions are  3, -4, 0, 2, and 300.

Hence, n ≥ -4.

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To find the length of an arc intercepted by a central angle in a circle, we need to use the formula:

Arc Length = (Angle in radians) * (Radius)

In this case, the circle has a diameter of 9 meters, which means the radius is half of the diameter, so the radius is 4.5 meters.

The central angle measures radians, which we need to convert to radians. To convert a fraction to radians, we divide the numerator by the denominator and multiply by π (pi).

Radians = (7/18) * π

Now we can calculate the length of the arc:

Arc Length = (7/18) * π * 4.5

Simplifying this expression, we can calculate the approximate length of the arc.

It's important to note that the length of the arc is proportional to the measure of the central angle and the radius of the circle. The larger the central angle or the radius, the longer the arc.

In this case, the length of the arc will be determined by the specific value of the central angle in radians and the radius of the circle.

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Step-by-step explanation:

3x + 2 + 3x-7 + w

-3x-5 + 3x + w

2.

Combina los términos semejantes ^

-3x - 5 + 3x + w

-5 + w

3.

Reordenar términos

- 5+ w

w-5

Answer:

y = 5.2, x = 6

Step-by-step explanation:

to find y:

opposite/adjacent = tan(60)

y/3 = tan(60)

y = tan(60) * 3

y = 5.2

to find x:

adjacent/ hypotenuse = cos(60)

3/x = cos(60)

x = 3/cos(60)

x = 6

Answer:

205.62

Step-by-step explanation:

Answer:

Step-by-step explanation:

the second one

Given:

d = 2

f = 4

To find:

Value of  \(\frac{14(7)-d}{2f}\)

Steps:

we need to substitute and then find the value,

\(= \frac{14(7)-2}{2(4)}\\ \\=\frac{98-2}{8} \\\\=\frac{96}{8}\\\\=12\)

Therefore, the answer is option C) 12

Happy to help :)

If you need help, feel free to ask

Answer:

I think it is mean

Step-by-step explanation:

because mean would be the average of the scores

Answer: The mean

Step-by-step explanation:

The mean will show the average of the teams scores.

The value of the determinant |A| = 1

In the above question, a determinant is given, having k as one of the entry

We need to find the, value of |A|

If A is the matrix, then |A| stands for the matrix's determinant. The first element of the first row is multiplied by a secondary 2x2 matrix made up of the other 3x3 matrix elements that do not belong to the row or column to which your first chosen element belongs in order to get the determinant of the 3x3 matrix.

Calculus, linear algebra, and advanced geometry frequently make use of the determinant of a matrix.

So, |A| = a11(a22.a33 - a23.a32) - a12(a21.a33 - a23.a31) + a13(a21.a32 - a22.a31)

|A| = 1.(1 -0) - 0(0 - 0) + 0(0-k)

|A| = 1

Hence, the value of the determinant |A| = 1

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The Pythagorean theorem states that in a right triangle, the square of the hypotenuse = sum of the squares of the legs.

We have,

The Pythagorean theorem that relates to the sides of a triangle. It states that the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides (known as the legs). Mathematically, it can be expressed as a² + b² = c², where "a" and "b" are the lengths of the legs, and "c" is the length of the hypotenuse.

Now,

In a right triangle, the legs are the two sides that form the right angle, and the hypotenuse is the side that is opposite to the right angle. The Pythagorean theorem states that in a right triangle, the square of the hypotenuse = sum of the squares of the legs. So, the relationship between the legs and the hypotenuse can be described by this theorem. In other words, if we know the length of the two legs of a right triangle, we can use the Pythagorean theorem to find the length of the hypotenuse, and vice versa. The hypotenuse is always the longest side of the right triangle, and it is also the side that connects the two legs.

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complete question:

Applying the Pythagorean Theorem In this activity, you will explain your understanding of mathematical relationships and use the Pythagorean theorem to solve real-world problems. Question 1 In your own words, explain the relationship between the legs and the hypotenuse of a right triangle.

The correct answer is B. 0.00

Explanation:

In statistics, two events are mutually exclusive if only one event can occur at one time. For example, if you have a deck of cards with Hearts and Spades, every time you choose a card you will have either Hearts or Spades but not both at the same time as there is not any card that combines Hearts and Spades in the same card. This means it is statistically impossible for two mutually exclusive events to occur at the same time, which means the probability is 0.00.

Answer:

\(P = (-5,5)\)

Step-by-step explanation:

Let the segments be A and B

\(A = (-9,3)\)

\(B = (1,8)\)

\(m:n = 2:3\)

Required

Determine the endpoints after it is divided into ratios.

Let the point be represented with P

The formula to use is:

\(P = (\frac{mx_2 + nx_1}{m + n},\frac{my_2 + ny_1}{m + n})\)

Where

\(A = (-9,3)\)  ----- \((x_1,y_1)\)

\(B = (1,8)\) ------ \((x_2,y_2)\)

So:

\(P = (\frac{mx_2 + nx_1}{m + n},\frac{my_2 + ny_1}{m + n})\)

\(P = (\frac{2 * 1 + 3 * -9}{2 + 3},\frac{2 * 8 + 3 * 3}{2 + 3})\)

\(P = (\frac{-25}{5},\frac{25}{5})\)

\(P = (-5,5)\)

Answer:

angle ced is a right ange

so the m angels debate =135 m angle aeb =35

so the answer is 135+35 =170

180 is a all side sim

=180-170=10 answer

Answer:

∠CED is a right angle.

∠CEA is a right angle.

m∠CEB = m∠BEA

m∠DEB = 135°

Answer:

300

Step-by-step explanation:

round the number up to the nearest hundred if the last two digits in the number are 50 or above. round the number down to the nearest hundred if the last two digits in the number are 49 or below.

Answer:

300

Step-by-step explanation:

300 IS CLOSER THEN 400

The volume of the cylinder generated by rotating the region bounded by y = x³ , y = 8 , x = 0 and x = 9 be, 1608.25 cubic units.

Given, a cylinder generated by rotating the region bounded by the given curves about the specified axis

y = x³ , y = 8 , x = 0 and x = 9

we have to find the volume of the cylinder generated by the given region,

So, using the concept of integration, we get

Volume of the cylinder =  Integrating y from x³ to 8 then integrating x from 0 to 9.

Volume of the cylinder = ∫∫dy dx

Volume of the cylinder = ∫(x³ - 8) dx

Volume of the cylinder = x^4/4 - 8x

Volume of the cylinder = (9)^4/4 - 8(4)

Volume of the cylinder = 1640.25 - 32

Volume of the cylinder = 1608.25

So, the volume of the cylinder be 1608.25 cubic units.

Hence, volume of the cylinder be 1608.25 cubic units.

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Answer:

8.60cm

Step-by-step explanation:

a/sinA=b/sinB

15/sin90⁰=x/sin35⁰

cross multiply

15sin35⁰=xsin90⁰

8.6036=x

x=8.60cm

Answer:

w=19/15

Step-by-step explanation:

11/15 = w - 8/15  |*15

11 = 15w-8 => 15w=8+11 => 15w=19 => w=19/15

Answer:

Parameter estimates

The coefficient for Px (-5) suggests that there is an inverse relationship between the price of the fruit drink and the quantity demanded. In other words, as the price of the drink increases, the quantity demanded decreases.

The coefficient for M (0.001) suggests that there is a positive relationship between the median annual family income and the quantity demanded. In other words, as the median income increases, the quantity demanded also increases.

The coefficient for Py (10) suggests that there is a positive relationship between the price of the competing brand of fruit drink and the quantity demanded for this brand. In other words, as the price of the competing brand increases, the quantity demanded for this brand also increases.

Step-by-step explanation:

To calculate the monthly consumption of the fruit drink, we plug in the given values into the demand equation,

Qx = 10 - 5(2) + 0.001(20,000) + 10(2.5)

Qx = 10 - 10 + 20 + 25

Qx = 45 liters per family per month.

Therefore, the monthly consumption of the fruit drink per family is 45 liters.

If the median annual family income increased to $30,000, then the new monthly consumption of the fruit drink per family can be calculated as follows,

Qx = 10 - 5(2) + 0.001(30,000) + 10(2.5)

Qx = 10 - 10 + 30 + 25

Qx = 55 liters per family per month.

Therefore, the monthly consumption of the fruit drink per family would increase from 45 liters to 55 liters per family per month.

To determine the demand function, we need to solve for Qx in terms of the other variables,

Qx = 10 - 5Px + 0.001M + 10Py

Qx - 10Py = 10 - 5Px + 0.001M

Qx = (10 - 5Px + 0.001M) / 10Py

Therefore, the demand function is:

Qx = (10 - 5Px + 0.001M) / 10Py

To find the inverse demand function, we need to solve for Px in terms of Qx.

Qx = 10 - 5Px + 0.001M + 10Py

5Px = 10 - Qx - 0.001M - 10Py

Px = (10 - Qx - 0.001M - 10Py) / 5

Therefore, the inverse demand function is,

Px = (10 - Qx - 0.001M - 10Py) / 5

Answer:

c. there is a positive correlation in-between x and y

Step-by-step explanation:

A regression line is a line that suggests that all the points in a scatter diagram lie on or near one particular line. In a simple regression analysis in which y is the dependent variable and x is the independent variable. If the slope is positive, the bivariate data is also said to have a positive correlation. The positive correlation in-between two variables x and y implies that in general, an increase in x goes hand in hand with an increase in y.

Regression Analysis is defined as the set of statistical and reliable processes for establishing the relationship between the independent and dependent variables.

The correct statement can be given as:

In a simple regression analysis (where y is a dependent and x an independent variable), if the slope is positive, then it must be true that there is a positive correlation between x and y.

The regression line suggests that all the points lie near a particular line. It can be explained as:

1. In a simple regression analysis, the dependent variable is y.

2. Similarly, the independent variable is x.

3. Given, if the slope is positive, then the correlation will be positive.

4. The positive relation implies that if x increases then they will also increase in simple regression analysis.

Thus, in the simple regression analysis there exists a positive correlation between x and y.

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