Graph the equation. Plot at least five points on the graph and label them with their
coordinates.
3. y = x - 1
4. y = 2|x|
S -6
6
4
4
-8-1
x
S -6
4
3
41
6
x

He needed to save $15 over the remaining 2 weeks. This means she needed to save an average of $7.50 per week to reach her goal.

Both the arithmetic mean and the weighted mean may be used to determine the average of a group of integers. The sum of all the numbers in the group divided by the entire amount of numbers in the set yields the arithmetic mean. Regardless of significance or relevance, it gives each integer in the set the same amount of weight. On the other hand, the weighted mean gives the integers in the set distinct weights based on their significance or relevance. This indicates that certain numbers in the set provide a greater weighted mean contribution than others.

Given that, Bobbi's goal was to save an average of $7.00 per week.

Thus the amount saved is:

12 x $7 = $84.

He saved $5 for 11 weeks thus,

11 x $5 = $55.

Then in the 12th week the amount saved is:

$29 - $14 = $15.

Hence, she needed to save $15 over the remaining 2 weeks. This means she needed to save an average of $7.50 per week to reach her goal.

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Answer:

Angle 1 = 115 degrees

Angle 2 = 65 degrees

Step-by-step explanation:

Angle 1: Same-side interior angle of Line 1

Angle 2: Same-side interior angle of Line 2

We know that the difference between the angles is 50 degrees. Since the angles are supplementary, we can write the equation:

Angle 1 + Angle 2 = 180

Now, we need to express the difference between the angles in terms of Angle 1 or Angle 2. We can choose either angle, so let's express it in terms of Angle 1:

Angle 1 - Angle 2 = 50

We can rewrite this equation as:

Angle 1 = 50 + Angle 2

Now substitute this expression for Angle 1 into the first equation:

(50 + Angle 2) + Angle 2 = 180

Combine like terms:

2Angle 2 + 50 = 180

Subtract 50 from both sides:

2Angle 2 = 130

Divide by 2:

Angle 2 = 65

Now substitute this value back into the equation for Angle 1:

Angle 1 = 50 + Angle 2

Angle 1 = 50 + 65

Angle 1 = 115

Therefore, the angles are as follows:

Angle 1 = 115 degrees

Angle 2 = 65 degrees

The predicted number of adults in Oak City whose main source of news is newspapers or the radio is 85

To predict the number of adults in Oak City whose main source of news is newspapers or the radio, we need to add the number of adults who answered "Newspapers" to the number of adults who answered "Radio".

According to the sample data

Number of adults who answered "Newspapers": 64

Number of adults who answered "Radio": 21

Therefore, the predicted number of adults in Oak City whose main source of news is newspapers or the radio we have to use the addition

64 + 21 = 85

Rounding this answer to the nearest whole number, we get

85 ≈ 85

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The given question is incomplete, the complete question is:

There are 44,000 adults living in Oak City. In examining attitudes toward the news, a research group asked a random sample of Oak City adults "What is your main source of news?" The results are shown below. Main Source of News Newspapers Number of Adults 64 Internet 80 Television 126 Radio 21 Other 40 Based on the sample, predict the number of adults in Oak City whose main source of news is newspapers or the radio. Round your answer to the nearest whole number.

Answer:

3x + 16/3

Step-by-step explanation:

3(x +1) + 2 1/3 (distribute 3 into parentheses)

3x + 3 + 2 1/3 (calculate)

3x + 5 1/3 (convert to improper fraction)

3x + 16/3 (done)

3x + 16/3

Answer:

3x + 16/3

Step-by-step explanation:3(x +1) + 2 1/3 (distribute 3 into parentheses)

3x + 3 + 2 1/3 (calculate)

3x + 5 1/3 (convert to improper fraction)

3x + 16/3

3x + 16/3

Answer:

see explanation

Step-by-step explanation:

substitute the values of x in the table into g(x)

Using the rule of exponents

\(a^{-m}\) = \(\frac{1}{a^{m} }\)

g(- 2) = \(4^{-2}\) = \(\frac{1}{4^{2} }\) = \(\frac{1}{16}\)

g(- 1) = \(4^{-1}\) = \(\frac{1}{4}\)

g(0) = \(4^{0}\) = 1

g(1) = \(4^{1}\) = 4

g(2) = 4² = 16

::::: Answer ::::::::::::::::::::::

Simplifying the Equation :

\(a = \frac{1}{2} \times 8 \times h\)

  \(= \frac{8}{2} \times h\)

  \(= 4 \times h\)

  \(= 4 h\)

Then

\(\text{if h = 6} \longrightarrow a=4\times 6=24\)

\(\text{if h = 7} \longrightarrow a=4\times 7=28\)

\(\text{if h = 8} \longrightarrow a=4\times 8=32\)

\(\text{if h = 9} \longrightarrow a=4\times 9=36\)

Answer:

hypotenuse(?)

Step-by-step explanation:

This implies that each day, the number of cancer cells is expected to increase by 8.2%

The regression analysis resulted in the following least squares logarithmic model:

log⁡(y{hat})=2.5+0.082x

The equation shows that the expected value of the log of the response variable is a linear combination of the predictors, with a constant and a slope. Therefore, each day the number of cancer cells is expected to increase by 8.2%.

Let's find out how to get the answer using the given information.

We have, log⁡(y{hat})=2.5+0.082x

Taking exponential of both sides, we get;

ey= 10^(2.5+0.082x)

Simplifying,

ey= 10^2.5 * 10^(0.082x)

ey= 316.2278 * 1.08477^x

Therefore, each day the number of cancer cells is expected to increase by 8.2%.

Hence, the correct answer is:

increase by 8.2%

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300 meters per minute: 3600 meters per hour

YW BRAINLIEST PLEASE

As per the mathematical operation both Jillian and Samuel are correct.

Given expression = 30+40+70,

The methodology by Jillian = added 30 and 40 and then 70

The methodology by Samuel = added 30 and 70 and then 40.

Determining the result of the given equation:

30 + 40 + 70

= 140

Reviewing the operations of both Jillian and Samuel

Jillian

He added 30 and 40 and then 70:

30 + 40 = 70

70 + 70 = 140

Samuel

He added 30 and 70 and then 40

30 + 70 = 100

100 + 40 = 140

The result of both mathematical operations is 140. Thus, it can be stated that both are correct.

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If the coefficient of determination is 0.94, we can say that ninety-four percent of the total variation of the dependent variable is explained by the independent variable. The correct answer is: ninety-four percent of the total variation of the dependent variable is explained by the independent variable.

This means that there is a strong positive relationship between the two variables. The coefficient of determination, represented as R², measures the proportion of the total variation in the dependent variable that is explained by the independent variable. In this case, an R² of 0.94 indicates that 94% of the total variation in the dependent variable can be explained by the independent variable. The coefficient of determination does not provide information about the direction or strength of the relationship. The correct answer therefore is ninety-four percent of the total variation of the dependent variable is explained by the independent variable.

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See attachment for math work and answer.

The measure of ∠RSV is 31°.

Given that, SV bisects ∠RST=62°.

We need to find the value of m∠RSV.

The angle bisector in geometry is the ray, line, or segment which divides a given angle into two equal parts. For example, an angle bisector of a 60-degree angle will divide it into two angles of 30 degrees each. In other words, it divides an angle into two smaller congruent angles.

Since SV bisects ∠RST into equal parts.

That is, ∠RSV=∠TSV

So, ∠RST=∠RSV+∠TSV

⇒∠RST=2∠RSV

⇒62°=2∠RSV

⇒∠RSV=31°

Therefore, the measure of ∠RSV is 31°.

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In mathematics, "\(a^2\)" denotes the square of a number or variable "a." It is calculated by multiplying "a" by itself.

4For example, if "a" is 5, then a^2 would be 5*5, which equals 25. When "a" represents a positive number, its square is always positive.

If "a" is negative, its square is still positive since a negative multiplied by a negative results in a positive.

In geometrical terms, if "a" represents the length of the side of a square, then a^2 represents the area of that square. This notation is part of the general concept of exponentiation.

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The Question in English

What does a^2 mean in mathematics

Answer:

64ft

Step-by-step explanation:

d = distance from the Earth/ft

t = time falling/s

d ∝ t²

d = kt²

d = 16 and t = 4:

16 = k(4)²

16 = 16k

k = ¹⁶/₁₆

k = 1

d = t²

t = 8:

d = (8)²

d = 64

According to this postulate the two triangles are said to be congruent if two angles and the side between these two angles of one triangle are congruent to corresponding angles and the included side (side between two angles) of the other triangle

Angle L can be calculated as follows:

angle L = angle - 180 LMO stands for angle. MNO \sangle L = 180 - 150 - 30 degree angle L = 0

As a result, angle L is 0 degrees.

1. We know that sides AB and CD of trapezoid ABCD are parallel. We can use the tangent function to find the length of side AD because angle B is a right angle and angle ABD is 45 degrees:

AD/AB = tan(45)

AD=AB * tan(45) AD=AB

As a result, AD = 10.

2. We know that the sides PQ and RS of the trapezoid PQRS are parallel. We can use the sine function to find the length of side PS because angle Q is a right angle and angle PSQ is 60 degrees:

PS/QS sin(60) =

PS = sin * QS (60)

5 * sqrt = PS (3)

As a result, PS = 5*sqrt (3).

3. We know that the sides UV and WX of a trapezoid UVWX are parallel. We can use the cosine function to find the length of side WU because angle V is a right angle and angle WVU is 30 degrees:

WU/UV cos(30) =

UV * cos WU (30)

5 * sqrt(3) / 2 = WU

As a result, WU = (5/2)*sqrt (3).

4. We know that the sides LM and NO of the trapezoid LMNO are parallel. We can use the sine function to find the length of side MO because angle L is a right angle and angle MNO is 30 degrees:

MO/NO sin(30) =

MO = 4 / 2 MO = NO * sin(30)

As a result, MO = 2.

Because angles MNO and LMO add up to 180 degrees, we can calculate angle LMO as follows:

LMO angle = 180 - angle LMO MNO angle = 150 degrees

Finally, because angle N is a right angle, we can calculate angle L as follows:

angle L = angle - 180 LMO stands for angle. MNO\sangle L = 180 - 150 - 30 degree angle L = 0

As a result, angle L is 0 degrees.

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Answer:

z =86

Step-by-step explanation:

The exterior angle of a triangle is the sum of the opposite interior angles

z + z-39 = z+47

2z-39 = z+47

Subtract z from each side

z-39 = 47

Add 39 from each side

z = 47+39

z =86

The given information is,

To find the required value of z.

Property we use,

The exterior angle of a triangle is the sum of the opposite interior angles.

Now we can get the value of z,

→ z + z-39 = z + 47

→ 2z-39 = z + 47

→ 2z -z = 47 + 39

→ z = 47 + 39

→ [z = 86]

Thus, the required value of z is 86.

Answer:

30 cm

Hope you could understand.

If you have any query, feel free to ask.

let; sides be 3x, 4x and 5x.

according to the question,

perimeter=72 cm

now,

perimeter=sum of each sides

72=3x +4x + 5x

72=12x

x=72 / 12

x=6 cm

then,

longest side of triangle= 5x

5x=5*6

=30 cm.

Both X and Y do not have well-defined marginal pdfs due to the integration of the joint pdf resulting in infinity.

The given question states that X and Y have a joint probability density function (pdf) of f(x,y) = x+y, 0.

To find the marginal probability density functions of X and Y, we need to integrate the joint pdf over the respective variables.

Let's start with finding the marginal pdf of X.

To find the marginal pdf of X, we need to integrate the joint pdf f(x,y) over the variable Y, keeping X constant.

∫[0 to ∞] (x+y) dy

We integrate the function x+y with respect to y, treating x as a constant. The limits of integration are from 0 to positive infinity, as mentioned in the question.

Integrating the function x+y with respect to y, we get:

= xy + (\(y^2\))/2 |[0 to ∞]

Evaluating the integral at the limits of integration:

= x(∞) + (∞^2)/2 - x(0) - (\(0^2\))/2

Since (∞) is not a finite value, we consider it as a limit. Similarly, \((0^2)/2 equals 0.\)

Therefore, the marginal pdf of X is:

= x(∞) + (∞\(^2\))/2 - x(0) - (\(0^2\))/2

= ∞ + (∞\(^2\))/2 - 0 - 0

= ∞ + (∞\(^2\))/2

The result is infinity, which means that the marginal pdf of X does not converge to a finite value.

This indicates that X does not have a well-defined marginal pdf.

Now let's find the marginal pdf of Y.

To find the marginal pdf of Y, we need to integrate the joint pdf f(x,y) over the variable X, keeping Y constant.

∫[0 to ∞] (x+y) dx

We integrate the function x+y with respect to x, treating y as a constant. The limits of integration are from 0 to positive infinity, as mentioned in the question.

Integrating the function x+y with respect to x, we get:

= (\(x^2\))/2 + xy |[0 to ∞]

Evaluating the integral at the limits of integration:

= (∞^2)/2 + ∞y - (\(0^2\))/2 - 0y

Since (∞) is not a finite value, we consider it as a limit.

Similarly, \((0^2)/2\) equals 0.

Therefore, the marginal pdf of Y is:

= (∞^2)/2 + ∞y - 0 - 0y

= (∞^2)/2 + ∞y

The result is infinity, which means that the marginal pdf of Y does not converge to a finite value.

This indicates that Y does not have a well-defined marginal pdf.

In summary, both X and Y do not have well-defined marginal pdfs due to the integration of the joint pdf resulting in infinity.

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Complete Question - Let X and Y have joint pdf f(x, y) = 4e^-2(x + y); 0 < x < infinity, 0 < y < infinity, and zero otherwise. Find the CDF of W = X + Y. Find the joint pdf of U = X/Y and V = X. Find the marginal pdf of U.

The answer is $350

Explanation

Answer: (8 ÷ 2 + 9) x 9 - 100

Step-by-step explanation:

(You could use something like guess and check)

Answer:

See below.

Step-by-step explanation:

Try each ordered pair in the equation. Each ordered pair is of the form (x, y). Replace x and y in the equation by values of x and y, respectively, in each ordered pair. Whichever ordered pair makes the equation a true statement is the answer.

For example:

Try (2, 3):

2x + 3y = 10

2(2) + 3(3) = 10

4 + 9 = 10

13 = 10

Since 13 = 10 is a false statement, (2, 3) is not a solution.

Try (2, 2):

2x + 3y = 10

2(2) + 3(2) = 10

4 + 6 = 10

10 = 10

Since 10 = 10 is a true statement, (2, 2) is a solution.

Answer:

D

Step-by-step explanation:

-12 + 5 ≤ 4

-7 ≤ 4

this inequality is true

The answer to the question is D

The solution of the initial value problem (IVP)

y′ = 2y + x,

y(−1) = 1/2 is

y = − x/2 − 1/4 + c2x,

where c = e²/4.

Explanation: We are given the initial value problem:

y' = 2y + xy(-1)

= 1/2

We solve for the homogeneous equation:

y' - 2y = 0

We apply the integrating factor:

μ(x) = e^∫(-2) dx

= e^(-2x)

We get:

y' e^(-2x) - 2y e^(-2x) = 0

We obtain the solution for the homogeneous equation:

y_h(x) = c1 e^(2x)

Next, we look for a particular solution. Since the right-hand side is linear in x, we try a linear function:

y_p(x) = a x + b

We substitute into the equation:

y' = 2y + x2a + b

= 2(ax + b) + x2a + b

= 2ax + 2b + x

We equate the coefficients:

2a = 0

2b = 0

a = 1/2

We obtain the particular solution:

y_p(x) = 1/2 x

We add the homogeneous and particular solutions:

y(x) = y_h(x) + y_p(x)

= c1 e^(2x) + 1/2 x

We apply the initial condition:

y(-1) = 1/2c1 e^(-2) - 1/2

= 1/2

We solve for c1:

c1 = e^2/4

The solution of the initial value problem is:

y(x) = c1 e^(2x) + 1/2 x

= (e^2/4) e^(2x) + 1/2 x

= (e^2/4) e^(2(x-1)) + 1/2 (x+1)

We simplify and verify that this is the solution:

y'(x) = 2 (e^2/4) e^(2(x-1)) + 1/2

= (e^2/2) e^(2(x-1)) + 1/2 x

= 2y(x) + x

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Answer:

1,1,2

Step-by-step explanation:

The solution to the given system of equations are:{ x = 1, y = 1, z = 2} which is the corrrect answer would be option (A).

The equation is defined as a mathematical statement with at least two terms that contain variables or values that are equal.

We have been given the system of equations as:

2x − y − z = −1

3x + y − z = 2

x + y − 5z = −8

Isolate the term of x in the equation 2x − y − z = −1, and we get

x = (- 1 + y +z)/2

Substitute the value of x = (- 1 + y +z)/2 in the above both equations,

3(- 1 + y +z)/2 + y − z = 2

(- 1 + y +z)/2 + y − 5z = −8

Simplify the equation to you get,

(5y + z - 3) / 2 = 2

(3y - 9z - 1) / 2 = -8

Isolate the term of y : (5y + z - 3) / 2 = 2 ⇒ y = (-z +7 )/5

Substitute the value of y = (-z +7 )/5 in the equation (3y - 9z - 1) / 2 = -8

(3(-z +7 )/5 - 9z - 1) / 2 = -8

Simplify the equation to you get,

8(-3z + 1)/d = -8

Isolate the term of z : 8(-3z + 1)/d = -8 ⇒ z = 2

Substitute the value of z = 2 in the equation y = (-z + 7) / 5 to simplify to get

⇒ y = 1

Substitute the values of y = 1 and z = 2 in the equation x = (-1 + y + z) / 2 to simplify to get

⇒ x = 1

The solution to the given system of equations are:

{ x = 1, y = 1, z = 2}

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Answer:

Я знаю, что ты крут, и мне очень нравится твой pfp

Step-by-step explanation:

Answer:

1/2 dozen of one score is 30%.

Step-by-step explanation:

As we know that 1 dozen = 12 units.

1/2 dozen = 1/2 times 12=6 units

1 score = 20 units.

By using this conversion, we get

6/2 times 100=30%

So 1/2 dozen of one score is 30%

Answer:

Step-by-step explanation:

Depending on whether or not the g(x) is x^2 or 2x, I have both ways.

If g(x) is x^2 - 9...

--> (3x^2 + 2) - (x^2 - 9) = 2x^2 + 11

If g(x) is 2x...

--> (3x^2 + 2) - (2x - 9) = 3x^2 - 2x + 11

Hope this helps!

Answer: A is allways right but ill do the math

Step-by-step explanation: