Inequality Graphs (A)
Write the inequality for each graph.

Answer:

∠ RST = 72°

Step-by-step explanation:

∠ RST and 4x - 24 are alternate exterior angles and congruent, thus

4x - 24 = 3x ( subtract 3x from both sides )

x - 24 = 0 ( add 24 to both sides )

x = 24

Thus

∠ RST = 3x = 3 × 24 = 72°

First you will get 4dz

Answer:

y = -2/3x + 1

Step-by-step explanation:

( -3, 3) and (0,1)

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

m=( 1 - 3)/(0+3)

m = (-2)/3

m = -2/3

y - y1 = m(x - x1)

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

y - 3 = -2/3x - 2

y = -2/3x + 1

Answer:

y = -2/3x + 1

Step-by-step explanation:

(-3,3) and (0,1)

slope= y2-y1/x2-x1

1-3 / 0+3

-2/3

y = mx + b

y = -2/3x + b

1 = 0 + b

b = 1

y = -2/3x + 1

hope this helps :)))

Answer:

1. a. 544%

b. 84%

2. 175

3. $867.18

Step-by-step explanation:

1. a.2.32-0.36=1.96

1.96/0.36=5.44

5.44*100=544

b. 1.96/2.32=0.84

0.84*100=84

2. let x = # of 7th graders

let y = # of 8th graders

y is 125% of x

y=1.25x

x=140

y=1.25*140

y=175

3. A=P(1+r)^t

A=700(1+0.055)^4

A=867.18

The equation of a linear function is given by the following general form:

y = mx + b

Where m is the slope of the line and is given by the following formula:

Where (x1, y1) and (x2, y2) are two points of the function. In this case, we can take points (3, 0) and (4, 6) from the table, then we get:

With m = 6 we can rewrite the equation like this:

y = 6x + b

By replacing another point, like (5, 12), we get:

12 = 6(5) + b

12 = 30 + b

12 - 30 = 30 - 30 + b

-18 = b

b = -18

Then, the equation of the linear function can be written like this:

h(x) = 6x - 18

This researcher  cannot conclude based on these findings that testosterone increases feelings of motivation and vigor.

Research can be defined as the process of  investigating or making findings so as to reach or draw a conclusion based on the findings.

Research can also be defined as the process of collecting data, analyzing and interpreting the data collected in order to reach a conclusion.

Based on the given scenario the researcher cannot conclude that testosterone increases feelings of motivation and vigor based on his finding as their no enough data and evidence to support is findings.

Inconclusion this researcher  cannot conclude based on these findings that testosterone increases feelings of motivation and vigor.

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Check the picture below, so the hyperbola looks more or less like so, then

\(\textit{hyperbolas, vertical traverse axis } \\\\ \cfrac{(y- k)^2}{ a^2}-\cfrac{(x- h)^2}{ b^2}=1 \qquad \begin{cases} center\ ( h, k)\\ vertices\ ( h, k\pm a) \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} h=5\\ k=3\\ a=6\\ b=9 \end{cases}\implies \cfrac{(y-3)^2}{6^2}~~ - ~~\cfrac{(x-5)^2}{9^2}=1\implies \cfrac{(y-3)^2}{36}~~ - ~~\cfrac{(x-5)^2}{81}=1\)

The rectangular coordinates of the points of intersection of the polar curves r = 2sin(2θ) and r = 2sin(θ), the equations can be converted to rectangular form. However, solving the resulting system of equations algebraically may be challenging. Alternatively, graphing the polar curves and visually identifying the points of intersection can provide an effective method.

To find the rectangular coordinates of the points of intersection of the polar curves r = 2sin(2θ) and r = 2sin(θ), the equations can be converted to rectangular form, the rectangular coordinates of the above points are given below:

For the equation r = 2sin(2θ):

x = 2sin(2θ)cos(θ)

y = 2sin(2θ)sin(θ)

For the equation r = 2sin(θ):

x = 2sin(θ)cos(θ)

y = 2sin^2(θ)

The rectangular coordinates of the point(s) of intersection of the polar curves r = 2sin(2θ) and r = 2sin(θ) can be found by converting the polar equations to rectangular form and solving for the x and y coordinates.

To convert the polar equations to rectangular form, we can use the relationships x = rcos(θ) and y = rsin(θ). Substituting these expressions into the given polar equations, we get:

For the equation r = 2sin(2θ):

x = 2sin(2θ)cos(θ)

y = 2sin(2θ)sin(θ)

For the equation r = 2sin(θ):

x = 2sin(θ)cos(θ)

y = 2sin^2(θ)

To find the points of intersection, we need to set the x and y coordinates of both equations equal to each other and solve for θ. However, solving this system of equations algebraically can be complex due to the trigonometric functions involved.

Graphing the polar curves and visually inspecting the points of intersection may provide a more intuitive approach to finding the rectangular coordinates. By plotting both polar curves on a graph, the points where the curves intersect can be determined by their shared coordinates.

In summary, to find the rectangular coordinates of the points of intersection of the polar curves r = 2sin(2θ) and r = 2sin(θ), the equations can be converted to rectangular form. However, solving the resulting system of equations algebraically may be challenging. Alternatively, graphing the polar curves and visually identifying the points of intersection can provide an effective method.

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To find the surface area of the figure, we need to consider the individual surfaces and add them together.

First, let's identify the surfaces of the figure:

The lateral surface area of the larger prism (excluding the base)

The two bases of the larger prism

The lateral surface area of the smaller prism (excluding the base)

The two bases of the smaller prism

The lateral surface area of a prism is given by the formula: perimeter of the base multiplied by the height.

The bases of the prisms are rectangles, so their areas can be calculated by multiplying the length by the width.

To find the missing prism's surface area, we need to consider that it is a smaller prism nested inside the larger prism. The lateral surface area and bases of the missing prism should also be included.

Once we have calculated the individual surface areas, we add them together to find the total surface area of the figure.

Without specific measurements or dimensions of the figure, it is not possible to provide a numerical answer. Please provide the necessary measurements or dimensions to calculate the surface area.

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Absolute value of expression | 6 - 10 | can be simplified into 4.

The absolute value of a number is its distance from zero on the number line, regardless of its sign. It is represented by enclosing the number inside two vertical bars (| |) and is always a non-negative number.

In mathematical terms, the absolute value of x is defined as:

|x| =

a) x if x >= 0

b) -x if x < 0

So, for any number x, its absolute value is always positive or zero.

The expression |6 - 10| represents the absolute value of the difference between 6 and 10. To find the absolute value, we need to consider only the magnitude of the result and ignore its sign. In this case, the difference between 6 and 10 is -4, which is a negative number. Therefore, to find the absolute value, we need to take the absolute value of -4, which is 4. So, the simplified expression is:

|6 - 10| = 4

Hence the result for |6-10| is 4

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Answer:

John would be running 1560 miles in a year

Answer:

Lina should make $471.75 a month.

Step-by-step explanation:

If Lina makes $9.25 an hour and she works for 15 hours a week then you multiply those two numbers together. The resulting number is $555. Then you'll multiply that by .15 to find 15% of that number which is 83.25. After, you'll subtract that from $555, which gives you $471.75.

If Noah earns £160 a week and pays £55 in tax, he has £160 - £55 = £160-£55 = £105 to spend.

Subtraction is a mathematical procedure that includes subtracting one number from another. For example, if we have five apples and subtract three of them, we are left with two apples. Beginning with the bigger number and deducting the smaller number from it is how subtraction is done. Subtraction is denoted by the minus symbol (-). A difference is the outcome of a subtractive operation.

We may better grasp how to solve issues requiring the removal of one or more elements from a set by understanding the fundamental mathematical formula of subtraction. It is employed in many different scenarios, such as when we need to subtract incomes on a regular basis.

How to solve?

The formula for the money Noah has to spend each week is m = w - t.

£160 - £55 = £160 - £55 = £105

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Answer:

Value of expression = -3 / 4

Step-by-step explanation:

Given:

(12x + 8) + 4 = 3

Find:

Value of expression

Computation:

Given expression

(12x + 8) + 4 = 3

Step 1: Use Distributive property

12x + 8 + 4 = 3.

Step 2: By adding like terms.

12x + 12 = 3

Step 3: Transfer

12x = 3 - 12

Step 4: Subtract

12x = -9

Step 4: Divide both sides by 12

12x / 12 = -9 / 12

x = -3 / 4

Value of expression = -3 / 4

The p-value for testing H0 (null hypothesis) versus Ha (alternative hypothesis) is 0.0038. We need to determine whether H0 would be rejected at different significance levels: α = 0.10, α = 0.05, α = 0.01, and α = 0.001.

To make the decision, we compare the p-value with the chosen significance level. If the p-value is less than or equal to the significance level, we reject H0. Otherwise, we fail to reject H0.

At α = 0.10: Since the p-value (0.0038) is less than 0.10, we reject H0.

At α = 0.05: Since the p-value (0.0038) is less than 0.05, we reject H0.

At α = 0.01: Since the p-value (0.0038) is greater than 0.01, we fail to reject H0.

At α = 0.001: Since the p-value (0.0038) is greater than 0.001, we fail to reject H0.

In summary:

H0 would be rejected at α = 0.10 and α = 0.05.

H0 would not be rejected at α = 0.01 and α = 0.001.

Please note that the decision to reject or fail to reject the null hypothesis depends on the chosen significance level, and different levels of significance can lead to different conclusions.

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Answer: its (4f 5) ^3

Step-by-step explanation:

Using a graphing calculator, the features of the function are given as follows:

In a graph, the domain and the range of the function are given as follows:

This function is defined for all real values and also assumes all real values, hence both the domain and the range are (-∞,∞).

From the graph, the function is classified as decreasing or increasing as follows:

Hence the intervals are given as follows:

The relative minimum is when the function changes from decreasing to increasing, hence it is at this following point:

(1.184, -1.089).

The relative maximum is when the function changes from increasing to decreasing, hence it is at this following point:

(2.816, 1.089).

The end behavior of the function is given by the limits of the function when x go to infinity, hence:

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Answer:

√61

Step-by-step explanation:

→ Find the distance between y coordinates

2 --4 = 6

→ Find distance between x coordinates

2--3 = 5

→ Find distance

√6² + 5² = √36 + 25 = √61

The solution of the system of equation are (1,8) and (0, 6)

-2x² + y = 6

4x² + 3y = 28

Therefore,

-4x² + 2y = 12

4x² + 3y = 28

5y = 40

y = 40 / 5

y = 8

Therefore,

-2x² + 8 = 6

-2x² = -2

x² = 1

x = 1

2(0)² + y = 6

y = 6

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Answer:

D. (-1, 8) and (1,8)

Step-by-step explanation:

I took the math exam

Answer:

x = 55 - 2y

y = 70 - 3x

x = 17

y = 19

Step-by-step explanation:

let x = small box

y = large box

6x + 12y = 330

12x + 4y = 280

6x + 12y = 330

6x = 330 -12y

6x/6 = (330-12y)/6

x = 55 - 2y

12x + 4y = 280

4y = 280 -12x

4y/4 = (280 -12x)/4

y = 70 - 3x

small box cost:

x = 55 - 2y

x = 55 - 2(70-3x)

x = 55 -140 + 6x

x - 6x = -85

-5x = -85

x = 17

large box

y = 70 - 3x

y = 70 - 3(17)

y = 70 - 51

y = 19

Step-by-step explanation:

To find the percentage increase, we use the following formula:

percentage increase = (new value - old value) / old value * 100%

In this case, the old value is 25 and the new value is 86. So, we can plug these values into the formula:

percentage increase = (86 - 25) / 25 * 100% = 244%

Therefore, the percentage increase from 25 to 86 is approximately 244%.

Answer:

244% increase

Step-by-step explanation:

Jen returned home was 11:02. Below, you will learn how to solve the problem.

When Jen left the house, it was 10:03, she was running errands for 59 minutes. To find out what time it was when she returned home, we need to add the 59 minutes to the time she left the house.

First, we need to convert the time she left the house to minutes, 10:03 is equal to 603 minutes (10 hours x 60 minutes per hour + 3 minutes).

Next, we add the 59 minutes she was running errands to the 603 minutes:

603 minutes + 59 minutes = 662 minutes

Finally, we convert the 662 minutes back to hours and minutes:

662 minutes ÷ 60 minutes per hour = 11 hours with 2 minutes remaining

So, the time when Jen returned home was 11:02.

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Answer:

9 Liters

Step-by-step explanation:

Let us represent:

The number of liters of the 30% salt solution = x

Number of liters for the 80% solution = 6 Liters

Number of liters for the 50% solution = x + 6 Liters

Hence:

x × 30% + 6 × 80% = (x + 6)50%

0.3x + 4.8 = 0.5x + 3

Collect like terms

4.8 - 3 = 0.5x - 0.3x

1.8 = 0.2x

x = 1.8/0.2

x = 9 Liters

Therefore, the number of liters for the 30% Salt solution = 9 Liters

The sequence of natural numbers that leaves a remainder of 3 when divided by 10 is:

3, 13, 23, 33, 43, 53, 63, 73, 83, 93, 103, 113, ...

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♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Based on the information provided, it is not possible to determine the likely correlation between the two variables. The presence or absence of a linear relationship between the variables is also unclear.

To determine the correlation and relationship between two variables, it is necessary to collect data and perform statistical analysis. It is important to note that correlation does not necessarily imply causation and that other factors may also influence the relationship between variables.
To determine if the correlation between the two given variables is likely to be positive or negative, or if they are not likely to display a linear relationship, follow these steps:
1. Analyze the data: Look for trends in the data points to see if they are moving in a specific direction.
2. Positive correlation: If both variables increase together, it indicates a positive correlation.
3. Negative correlation: If one variable increases while the other decreases, it indicates a negative correlation.
4. No linear relationship: If there is no consistent pattern in the way the variables change, they are not likely to display a linear relationship.
By examining the data for the given variables and applying these steps, you can determine the type of correlation or if a linear relationship exists between them.

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The required sample size is 566

In statistics, a confidence interval describes the likelihood that a population parameter would fall between a set of values for a given percentage of the time.

Confidence ranges that include 95% or 99% of anticipated observations are frequently used by analysts. The confidence interval is used to find lower and upper values of unknown population parameter and is given by:

n = (Z² × p × (1-p)) / E²

Z=1.96 from standard normal distribution table

n = (1.96² × 0.38 × (1-0.38)) / 0.04²

n = 566

The required sample size is 566

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Answer: (x – 1)(x + 1)(x + 5) = 0

x – 1 = 0, so x =  1

x + 1 = 0, so x =  -1

x + 5 = 0, so x = -5

The Slope-Intercept form of an equation of the line is:

Where "m" is the slope and "b" is the y-intercept.

Given this line:

You need to solve for "y" in order to write it in Slope-Intercept form:

So you can identify that the slope of that line is:

By definition, the slopes of perpendicular lines are opposite reciprocals. Then, you can determine that the slope of the other line is:

Knowing that it passes through this point:

You can substitute the coordinates into the equation and solve for "b":

Knowing the value of "b" and knowing the slope, you can determine that the equatio of the line in Slope-Intercept for