through: (4, 5), parallel to y =1/4x - 4

Write the slope intercept form of the equation. ​

The value of length of RP from the figure is 111.

From the given figure we can see that two circles.

For smaller circle,

the radius is = 11 units.

So, WQ = WV = WU = 11 [Since radii of same circle]

Now, VP = 50

So, WP = WV + VP = 11 + 50 = 61 units.

We know that the tangent at any point on circle is perpendicular to the radius of the circle passing through that point.

So, here triangle WPU is a right angled triangle with right angle at point U.

So, WP is the hypotenuse. So by Pythagoras theorem,

WP² = PU² + WU²

PU² = WP² - WU² = 61² - 11² = 3600

PU = 60 [Since length cannot be negative so we cannot take the negative result of square root.]

From the figure, TP = TU + PU = 51 + 60 = 111 units.

We also know that from an external point, if we draw two tangents to a circle then they are equal.

So, here from external point P we drew two tangents to the circle with center S and that are TP and RP.

So, RP = TP = 111.

Hence the value pf RP is 111.

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The question is incomplete. The complete question will be -

Answer:

well its a right angle.. so there’s gonna be 3, right angles.. i’m so confusedd

Step-by-step explanation:

The Wonderful Wizard of Oz, according to American historian Henry Littlefield, was a metaphor for the 1890s Populist movement, which was an uprising by disaffected manufacturing and agricultural workers to gain control from the financial elite. Littlefield made this claim in 1964.

Judy Garland's character Dorothy and her dog Toto are carried away in their home to the fantastical country of Oz as a cyclone tear across Kansas.

As they travel along the Yellow Brick Road to the Emerald City to visit the Wizard, they encounter characters like the brainless Scarecrow (Ray Bolger), the heartless Tin Man (Jack Haley), and the Cowardly Lion (Bert Lahr).

The Wizard of Oz set and filming process was toxic, from bosses demanding their injured and sickly players return to set despite still needing to heal to the director smacking a 16-year-old and forcing her to take drugs to control her hunger and keep thin.

Therefore, the Wonderful Wizard of Oz, according to American historian Henry Littlefield, was a metaphor for the 1890s Populist movement, which was an uprising by disaffected manufacturing and agricultural workers to gain control from the financial elite. Littlefield made this claim in 1964.

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Answer: 45 centimeters

Step-by-step explanation:

27 - 3

divide both by 3

9 - 1

multiply by 5

45 - 5

Answer:

45 Centimeters.

Step-by-step explanation:

27 / 3 = 9

9 x 5 = 45

Answer:

y=4/3x-3

Step-by-step explanation:

+4x-(-3y)=1-1/3

It will take 12 seconds until Hudson and Knox have run the same number of feet.

Let's denote the time it takes until Hudson and Knox have run the same number of feet as "t" (in seconds).

The distance Hudson runs can be calculated by multiplying his speed (8.8 feet/second) by the time "t". Thus, the distance Hudson covers is 8.8t feet.

Knox, on the other hand, had a head start of 30 feet. So the distance Knox covers can be calculated by multiplying his speed (6.3 feet/second) by the time "t" and adding the head start of 30 feet. Thus, the distance Knox covers is 6.3t + 30 feet.

To find the time when both runners have covered the same distance, we set their distances equal to each other:

8.8t = 6.3t + 30

Simplifying the equation:

2.5t = 30

Dividing both sides by 2.5:

t = 30 / 2.5

t = 12

Therefore, it will take 12 seconds until Hudson and Knox have run the same number of feet.

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Answer:

The answer is b.

Step-by-step explanation:

Take the areas of the two rectangles by multiplying the numbers. Then divide the two numbers, in this case, 33.75 and 15.

Answer:  b) The area of the image is 2.25 times larger.

Step-by-step explanation:  !.5 larger in each direction results in  1.5×1.5 which is 2.25 enlargment.

4.5 × 7.5 =33.75   3×5= 15

33.75÷15 = 2.25

Question: How does advertising expenditure (X_2) affect the quantity demanded (Q_t) based on the given demand function?

To investigate the relationship between advertising expenditure (X_2) and the quantity demanded (Q_t) using the given demand function, we need to understand the steps involved:

Begin by understanding the demand function: The demand function is expressed as Q_t = a_o + α_1 ln P_t + a_2 X_1 + E_Dt. It represents the quantity demanded (Q_t) as a function of market price (P_t), an exogenous variable X_1, and an error term E_Dt.

Introduce the new exogenous variable: In this case, we introduce advertising expenditure (X_2) as an additional exogenous variable. We want to investigate how this variable affects the quantity demanded.

Analyze the coefficient: The coefficient a_2 in the demand function represents the impact of X_1 on the quantity demanded. However, since we introduced a new exogenous variable X_2, we need to estimate the impact of X_2 on Q_t. By analyzing the coefficient a_2, we can determine the direction and magnitude of this relationship.

Conduct statistical analysis: To quantify the relationship between advertising expenditure (X_2) and the quantity demanded (Q_t), statistical analysis such as regression can be performed. By estimating the coefficients and conducting hypothesis tests, we can determine if X_2 has a statistically significant impact on Q_t.

Interpret the results: Based on the statistical analysis, we can interpret the results and draw conclusions regarding the relationship between advertising expenditure (X_2) and the quantity demanded (Q_t). The coefficient estimate and its statistical significance will provide insights into the direction and strength of this relationship.

In summary, by incorporating advertising expenditure (X_2) into the demand function and conducting statistical analysis, we can assess its impact on the quantity demanded (Q_t) and draw meaningful conclusions regarding the relationship between the two variables.

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The complete question may be like:

5 marks] Consider the following demand function for the quantity demanded of product Q_t as a function of its market price P_t:

Q_t = a_o + α_1 ln P_t + a_2 X_1 + E_Dt

where a_o, α_1, a_2, and E_Dt are parameters. X_1 represents an exogenous variable that affects the quantity demanded.

Now, let's imagine that you are a researcher studying the demand for a specific product, and you want to investigate the impact of advertising expenditure (represented by an exogenous variable, X_2) on the quantity demanded.

Formulate a question that addresses the relationship between advertising expenditure (X_2) and the quantity demanded (Q_t) based on the given demand function.

The simplified expression is 2y² - 9.

To subtract the binomials (-3y^2 - 8) - (-5y^2 + 1), we need to distribute the negative sign to the terms inside the second set of parentheses:

(-3y^2 - 8) - (-5y^2 + 1) = -3y^2 - 8 + 5y^2 - 1

Next, we combine like terms by adding or subtracting the coefficients of the same degree:

-3y^2 + 5y^2 - 8 - 1 = (5y^2 - 3y^2) + (-8 - 1) = 2y^2 - 9

Therefore, the simplified expression is 2y² - 9.

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Answer:

$147

Step-by-step explanation:

Answer:

3(x − 2)(x + 2)(x2 + 4)

Step-by-step explanation:

The function in this real-life situation relates time (input) to the distance from school (output).

The input is the time, the output is the distance, the domain is the set of specific time values, and the range is the set of specific distance values.

This real-life situation can be represented as a function because it demonstrates a consistent relationship between two variables, time (input) and distance from school (output).

In this case, as time progresses, the corresponding distance from the school changes.

The function's input is the time (x), which represents the independent variable.

The time serves as the input value for the function, and it is the variable we can control or manipulate in this scenario.

In this case, the input values are given as 0, 3, 6, 9, and 12 minutes.

The function's output is the distance from the school (f(x)), which represents the dependent variable.

The distance is determined by the value of time and is the result of the function.

It is the variable that depends on the input or changes based on the time.

In this case, the output values for distance are given as 36, 32, 28, 24, and 20 meters.

The domain of the function represents all possible values of the input (time) for which the function is defined.

In this scenario, the domain consists of the specific time values given in the table: 0, 3, 6, 9 and 12 minutes.

The range of the function represents all possible values of the output (distance) that the function can produce.

In this case, the range consists of the specific distance values given in the table: 36, 32, 28, 24, and 20 meter.

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Answer:

Its just where the lines meet, (2,1)

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

40 divided by 1/4 = 10

25% = 1/4

Answer:

40

Step-by-step explanation:

We Know

25% of x is 10

Find x

We Take

10 x 4 = 40

So, 25% of 40 is 10

The angle of depression should be 26.57 degrees so the security camera should be directed downwards from the wall.

To find the angle of depression, we can use the tangent function. Let's call the angle of depression "θ". The tangent of an angle is equal to the opposite side (the difference in height between the camera and the spot) divided by the adjacent side (the horizontal distance between the camera and the spot). So, in this case:

tan(θ) = 6/12 = 1/2

Now that we have the tangent value, we can use the inverse tangent function (arctan) to find the actual angle:

θ = arctan(1/2)

Using a calculator, we can find that the angle of depression is approximately 26.57 degrees. So the security camera should be directed downward at an angle of 26.57 degrees to be directed at the spot 6 feet above the floor and 12 feet from the wall.

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Answer: 14085 m^3.

Step-by-step explanation: To find the volume of a right rectangular prism, you need to multiply the length, width, and height.  The equation is below:

l x w x h = V where l is the length, w is the width, h is the height, and V is the volume of the right rectangular prism.

The length of this recycling bin is 9 meters, the width is 5 meters, and the height is 313 meters.  Now that we know the length, width, and height, we can substitute the variables with the information we've gathered.

9 x 5 x 313 = 14085.

Therefore, 14085 m^3 is your answer.

Have a great day! :)

Answer:

No , because The Pythagorean equation isn't true.

Step-by-step explanation:

a² = b² + c²

14² = 11² + 8²

196 = 121 + 64

196 ≠ 185

Answer:

7

Step-by-step explanation:

4 ÷ 2 = 2

2 × 5 = 10

17 - 10 = 7

Answer:

24

Step-by-step explanation:

17 minus 5 is 12

12 times 4 is 48

48 divided by 2 is 24

yeah....

Answer:

[C] 4x - 19 < 318

Step-by-step explanation:

For [C] I think you meant: [C] 4x - 19 < 318

Since, x = -8

then we can plug it in to each answer choice to find the answer:

[A] -3x - 2 = 24

⇒ -3(-8) - 2 = 24

-3(-8) = 24

24 -2 = 22 not 24

False.

[B]  12 + 2x > 9

⇒  12 + 2(-8) > 9

 12 -16 > 9

-4 > 9

False.

[C] 4x -19 < 318

⇒ 4(-8) -19= 318

-51 < 318

True.

[D] 17 + x>10​

⇒ 17 + (-8) >10​

-25 > 10

False.

Hence, the answer is [C] 4x - 19 < 318

Kavinsky

In this experiment, the subjects are divided into groups by a variable of interest and the elements are then randomly allocated to treatment and control groups within these groups.

The correct option(d) a subgroup of experimental subjects randomly assigned the same treatment.

Cluster Sampling is a probability sampling method where the target population is divided into clusters. Some of these clusters are selected randomly for sampling and all the members are studied under each randomly selected cluster.

Stratified Sampling is a probability sampling method, in which a population is divided into unique, homogeneous strata, members from these strata are randomly selected to form a sample.

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m = 532 - (57 * h) represents the number of miles remaining after h hours of traveling at an average speed of 57 miles per hour.

The equation m = 532 - (57 * h) is used to represent the number of miles remaining, m, after h hours of traveling at an average speed of 57 miles per hour. The equation works by taking the total distance, 532 miles, and subtracting the product of the average speed, 57 miles per hour, and the amount of hours traveled, h. The result of the equation is the number of miles remaining, m. For example, if the family has been traveling for four hours, the equation would be m = 532 - (57 * 4). Solving the equation, m = 344, meaning the family has 344 miles left to travel. This equation allows the family to easily determine how many miles they have left to travel, given the average speed and amount of time traveled.

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Answer:

0.9

Step-by-step explanation:

Answer:

top dot is (5,7) lower dot is (-3.5,-3)

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

multiply 7 by 3=

7x3=21

These are the solutions of all the questions

Answer:

Step-by-step explanation:

Let's call the distance across the valley "d". We can use the law of sines to solve for "d". The law of sines states that for any triangle with sides a, b, and c, and angles A, B, and C opposite those sides, the following equation holds:

a/sin(A) = b/sin(B) = c/sin(C)

In this case, we can set up the following equation:

50/sin(57) = 212/sin(180-57-d) = d/sin(57)

Simplifying this equation, we get:

d = (50*sin(57)*212)/sqrt(1-sin(57)^2) = 254.8 meters (rounded to one decimal place)

Therefore, the distance across the valley is approximately 254.8 meters.

the unit rate is 6/5 inches per hour, or approximately 1.2 inches per hour.

The unit rate in inches per hour can be found by dividing the amount of rain falling per unit of time by the corresponding unit of time. In this case, we have 4/5 inches falling every 2/3 hours, so we can find the unit rate by dividing 4/5 by 2/3:

(4/5) / (2/3) = (4/5) X (3/2) = 6/5 inches per hour

So the unit rate is 6/5 inches per hour, or approximately 1.2 inches per hour.

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The general form of an exponential function is:

where a ≠ 0, b > 0 and b ≠ 1

f(-1) = 26 and f(6.5) = 14, that is,

Then,

Finally, the function is:

Answer:

y = -7/3x + 10

Step-by-step explanation:

Step 1: Find the slope of the perpendicular line

Do this by taking the negative inverse of the first line

m = -7/3

Step 2: Find b

y = mx + b

y = -7/3x + b

3 = -7/3(3) + b

3 = -7 + b

b = 10