Find the equation of the line passing through the point (-1, -2) and perpendicular to
the line y = -1/2x + 5.
A) y = 2x
O B) y = -1/2x - 5/2
O C) y = -1/2x
OD y = 1/2x - 5,2

Answer:

8 units

Step-by-step explanation:

As we can see, the two triangles are similar

If two triangles are similar, then the ratio of their sides are equal

thus, mathematically;

12/6 = x/4

2 = x/4

x = 2 * 4

x = 8

The expression 14/20 is equivalent to 7/10

An equation is an expression that shows the relationship between numbers and variables using mathematical operators like addition, subtraction, multiplication and division. Equations can be linear, quadratic.

Given the expression:

14/20

The common term between the numerator and denominator is 2. Hence:

= 7/10

The expression 14/20 is equivalent to 7/10

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The constant of proportionality is 0.5. 9 points are awarded for 18 minutes of play.

Part A) To find the constant of proportionality, we can set up a proportion using the information given:

1 minute of play = 0.5 points

5 minutes of play = 2.5 points

0.5/1 = 2.5/5

Simplifying the proportion:

0.5 = 0.5

Therefore, the constant of proportionality is 0.5.

Part B) Using the constant of proportionality, we can write the equation that represents the relationship between the time played (in minutes) and the points awarded:

points = 0.5 x time played

Part C) To graph the relationship, we can plot the time played (in minutes) on the x-axis and the points awarded on the y-axis. We would then plot two points: (1, 0.5) and (5, 2.5). These points represent the proportionality of 1 minute of play to 0.5 points, and 5 minutes of play to 2.5 points, respectively. We can then draw a straight line through these two points, which represents the relationship between time played and points awarded.

Part D) Using the equation we found in Part B, we can calculate the number of points awarded for 18 minutes of play:

points = 0.5 x time played

points = 0.5 x 18

points = 9

Therefore, 9 points are awarded for 18 minutes of play.

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The x-coordinate of the point P is 2 and the y-coordinate is 5. So the coordinates of point P are (2,5).

To find the x-coordinate, we set the derivative of the curve equal to 1/4 and solve for x:

d/dx (1/(x+3)) = 1/4

-1/(x+3)² = 1/4

(x+3)² = -4

x+3 = ±2i

x = -3 ± 2i

Since the curve is defined only for real values of x, we take the real part of the solution and obtain x = -3. Therefore, the y-coordinate is y = 1/(x+3) = 1/(-3) = -1/3.

However, this point is not on the curve because the curve is not defined for x = -3. Instead, we need to look for the point on the curve closest to x = -3. We can do this by finding the limit of the curve as x approaches -3 from the right:

lim (x→-3+) (1/(x+3)) = ∞

Therefore, the point P is at x = 2 (the closest value to -3 on the curve) and y = 1/(2+3) = 1/5. So the coordinates of P are (2,5).

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Answer:

The segment that connects the midpoints of the legs of a trapezoid is called the median of the trapezoid.

Step-by-step explanation:

Answer:

$40

Step-by-step explanation:

You can see on the graph that when Jaime works 5 hours, he will get $40.

Answer:

$40

Step-by-step explanation:

Pay rate = $8 per hour (see on graph)

($8)(5) = $40

Since the graph starts at 0,0 and the slope is constant, you can simply look at the graph and see the point (5, 40) which means that he made $40 in 5 hours.

The distance from the point (2, 1, -2) to the plane 6(x-1) + 2(y-3) + 3(z+4) = 0 is 2 units. To find the distance, we used the formula that involves the coefficients of x, y, z, and the constant term in the plane equation. By plugging in the values and simplifying the expression, we obtained the distance of 2 units.


The distance from a point to a plane can be found using the formula:

distance = |Ax + By + Cz + D| / √(A² + B² + C²)

Given a point P(2, 1, -2) and a plane 6(x-1) + 2(y-3) + 3(z+4) = 0, we can determine the values of A, B, C, and D by comparing the coefficients of x, y, z, and the constant term.

A = 6, B = 2, C = 3, D = -6 - 6(1) - 2(3) - 3(-4) = 6 - 6 - 6 + 12 = 6

Substituting these values into the distance formula:

distance = |6(2) + 2(1) + 3(-2) + 6| / √(6² + 2² + 3²)

        = |12 + 2 - 6 + 6| / √(36 + 4 + 9)

        = |14| / √49

        = 14 / 7

        = 2

Therefore, the distance from the point P(2, 1, -2) to the plane 6(x-1) + 2(y-3) + 3(z+4) = 0 is 2 units.

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Jayden 44.2433333 inches squared

Carson 55.3041665 inches squared

Step-by-step explanation:

Answer:

1)96

2)131

3)7

Step-by-step explanation:

please mark me as brainlest and follow me

Answer:

6. (x,y) -> (x,y-4)

7. (x,y) -> (-x,y)

Step-by-step explanation:

6. You shift it 4 units down. Y makes things go up and down.

7. Youre flipping it over the Y axis. It doesnt change the Y values, only the X.

Sure! Here's a block diagram representation of a 5-to-32 line decoder using four 3-to-8 line decoders with enable (3:8 decoder with enable) and a 2-to-4 line decoder.

     _________       _________       _________       _________

    |         |     |         |     |         |     |         |

IN[4] | 5:32    |     | 3:8     |     | 3:8     |     | 3:8     |

----->| Decoder |---->| Decoder |---->| Decoder |---->| Decoder |----> Y[31]

    |_________|     |_________|     |_________|     |_________|

    |                           | |                           |

IN[3] |                           | |                           |

----->|                           | |                           |

    |          3:8 Decoder       | |          3:8 Decoder       |

    |___________________________| |___________________________|

    |                           | |                           |

IN[2] |                           | |                           |

----->|                           | |                           |

    |          3:8 Decoder       | |          3:8 Decoder       |

    |___________________________| |___________________________|

    |                           | |                           |

IN[1] |                           | |                           |

----->|                           | |                           |

    |          3:8 Decoder       | |          3:8 Decoder       |

    |___________________________| |___________________________|

    |                           | |                           |

IN[0] |                           | |                           |

----->|          2:4 Decoder       | |                           |

    |___________________________| |          3:8 Decoder       |

                                   |___________________________|

Inputs:

IN[4:0]: 5-bit input lines

Outputs:

Y[31:0]: 32 output lines

The 5-to-32 line decoder takes a 5-bit input (IN[4:0]) and produces 32 output lines (Y[31:0]). It uses four 3-to-8 line decoders with enable (3:8 Decoder) to decode the input bits and generate intermediate outputs. The intermediate outputs are then connected to a 2-to-4 line decoder (2:4 Decoder) to produce the final 32 output lines (Y[31:0]).

Note: The enable lines for the 3-to-8 line decoders are not shown in the diagram for simplicity. Each 3-to-8 line decoder will have its own enable input, which can be used to enable or disable the decoder's functionality.

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The complex number that is not in standard polar form among the given options is option B: z = 5/3 (cos 12π/7 + i sin 12π/7). The other options A, C, and D are all in standard polar form.

Standard polar form of a complex number is given by z = r(cos θ + i sin θ), where r is the magnitude of the complex number and θ is the angle it makes with the positive real axis.

A. z = cos 3π/5 + i sin 3π/5: This is in standard polar form.

B. z = 5/3 (cos 12π/7 + i sin 12π/7): This is not in standard polar form as the magnitude 5/3 is multiplied to the complex number inside the parentheses.

C. z = 3 (cos 19π/9 + i sin 19π/9): This is in standard polar form.

D. z = 1/4 (cos 9π/11 + i sin 9π/11): This is in standard polar form.

Therefore, option B is the complex number that is not in standard polar form.

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Answer:

I think because the absolute value is always a positive number.

Step-by-step explanation:

Out of every sale made by the store, 5% of the sale was donated to charity.

In order to find out what percentage of ​$7580 was donated to ​charity when a home decor store donated a percent of every sale to charity, we can use the following formula:

Percentage = (Part / Whole) x 100Let's plug in the given values and solve for the percentage donated: Part = ​$379Whole = ​$7580Percentage = (379/7580) x 100Percentage = 0.05 x 100Percentage = 5%.

Therefore, the home decor store donated 5% of ​$7580 to charity, which amounts to ​$379. This means that out of every sale made by the store, 5% of the sale was donated to charity.

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Circumference:-

\(\\ \bull\sf\dashrightarrow 2\pi r\)

\(\\ \bull\sf\dashrightarrow 4(3.14)\)

\(\\ \bull\sf\dashrightarrow 12.56m\)

Area.

\(\\ \bull\sf\dashrightarrow \pi r^2\)

\(\\ \bull\sf\dashrightarrow 3.14(2)^2\)

\(\\ \bull\sf\dashrightarrow 3.14(4)\)

\(\\ \bull\sf\dashrightarrow 12.56m^2\)

Answer:

Mean: 39

Median: 39.5

Mode: 34

Range: 44

Step-by-step explanation:

The p-value needs to go up than 0.05 in order to solve this issue.

In the most common statistics, a confidence interval is the range of estimations for an unknown parameter. 95% is the most frequent confidence level used when calculating confidence intervals, however, 90% and 99% are also occasionally used.

As per the given information in the question,

In this given problem, we can see confidence interval has 0 in it.

In light of this, the null should be disproved because the confidence interval contains 0.

Only the null hypothesis is rejected when the p-value surpasses the level of significance.

The p-value has to be greater than 0.05 because the alpha in this situation is 0.05.

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To determine the number of beads that contain at least two different colors, subtract the number of beads that contain only one color from the total number of beads.

1. Calculate the number of beads that contain exactly one color:

2. Calculate the total number of beads:

3. Subtract the number of beads that contain only one color from the total number of beads to find the number of beads with at least two different colors:

Let's take an example to illustrate this:

Suppose there are 4 different colors available (n = 4), and there are a total of 100 beads (m = 100).

Calculate the number of beads that contain exactly one color:

Number of beads with exactly one color = n * n = 4 * 4 = 16.

Calculate the number of beads with at least two different colors:

Number of beads with at least two different colors = Total number of beads - Number of beads with exactly one color.

Number of beads with at least two different colors = 100 - 16 = 84.

So, in this example, there are 84 beads that contain at least two different colors.

In general, to find the number of beads that contain at least two different colors, subtract the number of beads with exactly one color from the total number of beads, using the formula derived in steps 1 and 2.

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The mean weight loss of people on this drug, population mean, could be as low as 29 lbs  and if the study is repeated, the sample size should be at least 48 to achieve a margin of error less than 2 lbs.

(a) According to the information provided, the mean weight loss of people on this drug, population mean, could be as low as 29 lbs. This is calculated by subtracting the margin of error (±4 lbs) from the average weight loss (33 lbs): 33 - 4 = 29 lbs.

(b) To determine the required sample size for the study to be repeated with a margin of error less than 2 lbs, we can use the following formula for the margin of error (ME) with a known standard deviation (SD) and a confidence level (CL) of 95%:

ME = (1.96 * SD) / sqrt(n)

Here, ME = 2, SD = 7, and n is the sample size we need to find. Rearranging the formula to solve for n:

\(n = (1.96 * 7 / 2)^2\\n = (13.72 / 2)^2\\n = 6.86^2\)
n ≈ 47.1

Since we can't have a fraction of a sample, we round up to the nearest whole number. Therefore, if the study is repeated, the sample size should be at least 48 to achieve a margin of error less than 2 lbs.

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Answer:

third option

Step-by-step explanation:

The triangles have 2 pairs of congruent sides and 2 congruent included angles between the sides.

Thus

Δ ABC ~ Δ DEF by the SAS postulate

The value that is the best estimate for the logarithm y=log7 25 is 1.7. Therefore the answer is option D) 1.7.

We have to find the best estimate for y=log7 25. Therefore, we need to calculate the approximate value of y using the given options. Below is the table of values of log7 n (n = 1, 10, 100):nlog7 n1- 1.000010- 1.43051100- 2.099527

Let's solve this problem by approximating the value of log7 25 using the above values: As 25 is closer to 10 than to 100, log7 25 is closer to log7 10 than to log7 100.

Thus, log7 25 is approximately equal to 1.43.

Now, we can look at the given options to find the best estimate for y=y=log7 25.(A) 0.6(b) 0.8(c) 1.4(D) 1.7

Since log7 25 is greater than 1 and less than 2, the best estimate for y=log7 25 is option D) 1.7. Therefore, 1.7 is the best estimate for y=log7 25.

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To determine when the ball strikes the ground, we need to find the value of t when the height h(t) is 0.

The equation for the ball's height h at time t seconds after launch is:

h(t) = -4.9t^2 + 9.31t + 239.12

Setting h(t) to 0, we get:

0 = -4.9t^2 + 9.31t + 239.12

We can solve this quadratic equation using the quadratic formula:

t = (-b ± sqrt(b^2 - 4ac)) / 2a

where a = -4.9, b = 9.31, and c = 239.12.

Answer: 6.12 seconds

Step-by-step explanation:

To find when the object strikes the ground, we need to find the time t when the height h(t) is equal to 0 (since the ground is at height 0). We have the equation:

h(t) = -4.9t² + 9.31t + 239.12

To find the time when the object strikes the ground, we need to find the value of t when h(t) = 0:

0 = -4.9t² + 9.31t + 239.12

This is a quadratic equation of the form at² + bt + c = 0, where a = -4.9, b = 9.31, and c = 239.12. We can solve this equation for t using the quadratic formula:

t = (-b ± √(b² - 4ac)) / 2a

Plugging the values of a, b, and c into the formula, we get:

t = (-(9.31) ± √((9.31)² - 4(-4.9)(239.12))) / (2(-4.9))

t = (-9.31 ± √(86.6161 + 4694.336)) / (-9.8)

t = (-9.31 ± √(4780.9521)) / (-9.8)

t ≈ (-9.31 ± 69.14) / (-9.8)

We will have two possible values for t:

t₁ ≈ (-9.31 + 69.14) / (-9.8) ≈ 6.12 (rounded to two decimal places)

t₂ ≈ (-9.31 - 69.14) / (-9.8) ≈ 8.00 (rounded to two decimal places)

Since the height function describes the motion of the ball from a platform, we can discard the negative solution as it represents an invalid time before the ball is launched. Thus, the object strikes the ground at approximately t ≈ 6.12 seconds.

A) The expected value of the sampling distribution is 0.40.

B) The standard error is 0.05.

C) The sampling distribution will be centered around the population proportion of 0.40, with a spread given by the standard error of 0.05.

D) By examining the sampling distribution, we can see how likely it is to obtain a certain sample proportion by chance alone, and therefore make conclusions about the population based on the sample.

A) The expected value (also called the mean) of a sampling distribution is equal to the population parameter being estimated. In this case, the population parameter is the proportion, p, which is 0.40.

B) The standard error is the standard deviation of the sampling distribution. For a proportion, the formula for the standard error is √((p(1-p))/n), where p is the population proportion and n is the sample size. Plugging in the values given, we get √((0.40(1-0.40))/100) = 0.049.

C) The sampling distribution of a proportion is approximately normal if both np and n(1-p) are greater than or equal to 10. In this case, np = 1000.40 = 40 and n(1-p) = 100*0.60 = 60, so the conditions for normality are met.

D) The sampling distribution of a proportion shows the distribution of all possible sample proportions of a given size that could be drawn from a population with a known proportion.

The sampling distribution allows us to make inferences about the population proportion, such as constructing confidence intervals or conducting hypothesis tests.

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Complete Question:

A random sample of size 100 is selected from a population with p =0 .40.

A. What is the expected value (to 2 decimals)?

B. What is the standard error (to 2 decimals)?

C. Show the sampling distribution (to 2 decimals).

D. What does the sampling distribution of show?

Answer:

Step-by-step explanation:

Answer:

C, or $16.50

Step-by-step explanation:

First of all, I added the prices of the first hours of both days. $5.00 + $2.50 = $7.50. Then, for every hour, the price for parking is $1.50. So, the easier way of doing this is adding the prices of both days together. $1.50 + $1.50 = $3.00.  So, she parked for a three hours each in parking lots 1 and two. So, that's 3 times $3 which is $9. $9.00 + $7.50 = $16.50.