In the image shown, Line n is a transversal cutting parallel lines and m.
< 3 = x + 50
< 7 - 2x + 20
What is the measure of < 3?
A)
70°
B)
75°
C)
80°
D)
85

Answer:

3π/2

Step-by-step explanation:

See attached graph

Answer:

answer

A) 11.7²+X.6²

B) 7²+10² 0²

Completing the table using the rounded values showing the relative frequencies is as follows:

Column Relative Frequency Table

                            Men         Women        Total

January - June    25%            25%             25%

July - December 75%             75%             75%

Total                   100%           100%           100%

Relative frequency shows the quotient between the number of events and the total number of possible events occurring.

The quotient of relative frequency is expressed over 100 to show the result in percentage terms.

Frequency Table

                            Men   Women    Total

January - June      21           19         40

July - December  62          58        120

Total                     83          77         160

Column Relative Frequency Table

                            Men                Women           Total

January - June    25% (21/83)     25% (19/77)        25% (40/160 x 100)

July - December 75% (62/83)     75% (58/77)       75% (120/160 x 100)

Total                   100%                100%                  100% (160/160 x 100)

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The number of days took to get the video of Felipe 1024 views is 4.

An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.

The relationship between the elapsed time in days, d, since the video was uploaded and the total number of views, v, that the video received is modeled by the equation,

v = 4^(1.25d)

We have to find d when v = 1024

1024 = 4^(1.25d)

We have the rule for exponents aᵇⁿ = (aᵇ)ⁿ

1024 = \((4^{1.25} )^d\)

1024 = (5.6569)^d

Taking logarithms on both sides,

㏒ (1024) = ㏒ [(5.6569)^d]

We have the exponent rule for logarithm, ㏒ (aᵇ) = b ㏒ (a)

㏒ (1024) = d ㏒ (5.6569)

d = ㏒ (1024) / ㏒ (5.6569)

d = 4

Hence it took 4 days to for Felipe's video to get 1024 views.

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Answer:

5/23 (Simplified)

Step-by-step explanation:

There ya go.. :D

Answer:

The answer is d

Step-by-step explanation:

Answer:

C) 0degress<=x<=60 and 300<=x<=360

Step-by-step explanation:

Right on edge

Answer:

2 8/115

Step-by-step explanation:

Sam's longest run before starting training was 0.6 miles.

A scatter diagram is used to investigate the relationship between both axes (X and Y) and a single variable. If the variables on the graph are correlated, the point will decrease down a curve or line. A scatter diagram or scatter plot depicts the nature of a relationship.

A linear model is represented by the equation y = 0.2x + 0.6, where "y" is the longest distance Sam ran after "x" weeks of training. The y-intercept in this model is 0.6, which reflects the longest distance Sam could run before starting training.

As a result, the solution is:

Sam's longest run before starting training was 0.6 miles.

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Step-by-step explanation:

For RIGHT triangles

sinΦ = opposite LEG / hypotenuse

  for this right triangle

    sin 59 = x/17

   then    17 * sin 59   =  x

                  using calculator    x = 14.6   units

Answer:

Therefore, the earliest time to take the next pill is after 10.85 hours and the latest time is before 15.14 hours have passed.

Step-by-step explanation:

The concentration of the drug in your system after ingesting 100.0 mg can be calculated using the formula:

C = D / V

where C is the concentration, D is the dose, and V is the volume of distribution (assumed to be constant).

At the initial time, t = 0, the concentration is:

C(0) = 100.0 mg / V

After one half-life, t = 16 hours, the concentration is:

C(16) = C(0) / 2 = 50.0 mg / V

After two half-lives, t = 32 hours, the concentration is:

C(32) = C(16) / 2 = 25.0 mg / V

After three half-lives, t = 48 hours, the concentration is:

C(48) = C(32) / 2 = 12.5 mg / V

To find the earliest and latest times to take the next 100.0 mg pill, we need to calculate the concentration at those times and make sure it stays between 20.0 mg and 140.0 mg.

Let's first find the earliest time at which the concentration drops below 20.0 mg.

20.0 mg / V = C(16 + x) = 50.0 mg / V / (2^(x/16))

Solving for x:

2^(x/16) = 50.0 / 20.0 = 2.5

x/16 = log2(2.5)

x = 16*log2(2.5) = 16*0.678 = 10.85

So the earliest time to take the next pill is after 10.85 hours.

Now let's find the latest time at which the concentration goes above 140.0 mg.

140.0 mg / V = C(16 + x) = 50.0 mg / V / (2^(x/16))

Solving for x:

2^(x/16) = 50.0 / 140.0 = 0.3571

x/16 = log2(0.3571)

x = 16*log2(0.3571) = -15.14

So the latest time to take the next pill is before 15.14 hours have passed.

the counting number just before C5F16 is 3,072.

Therefore , the solution of the given problem of complementary angles  comes out to be first angle = 72 and second angle = 108 degree.

When two angles add up to 90 degrees, they are said to be complimentary. When two angles add up to 180 degrees, they are deemed to be submissive. For instance, 40 and 60 degree triangles compliment one another. A supplemental angle is one in which two angles are connected to form a 90 degree angle, as opposed to a supplementing angle. Two angles are considered to be complimentary if their sum equals 90 degrees. As an alternative, a right angle is produced by the complementary angles (90 degrees).

Here,

Given :

Two complimentary angles are expressed as 2x and 3x.

So, their sum is 180 degree

=> 2x + 3x = 180

=> 5x =180

=> x = 180/5

=> x = 36 degree

First angle : 2(36) = 72 degree

Second angle : 3(36) = 108 degree

Therefore , the solution of the given problem of complementary angles  comes out to be first angle = 72 and second angle = 108 degree.

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The value of the logarithm of 0.81 for logarithm properties is equal to - 0.1.

Herein we must use logarithm properties to simplify a given logarithm and solve the resulting expression. The properties to be used in this question are described below:

㏒ (a / b) = ㏒ a - ㏒ b

㏒ aᵇ = b · ㏒ a

First, write the logarithmic equation:

㏒ 0.81

㏒ 81 / 100

Second, use the logarithmic property for a division:

㏒ 81 - ㏒ 100

Third, use the logarithmic property for a power:

㏒ 3⁴ - ㏒ 10²

4 · ㏒ 3 - 2 · ㏒ 10

4 · ㏒ 3 - 2

4 · 0.477 - 2

- 0.092

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Answer:

A line that is parallel to y = 3x - 9 will have the same slope as the given line. The slope of y = 3x - 9 is 3. Therefore, the equation of the line that passes through (1, 2) and is parallel to y = 3x - 9 is:

y - y1 = m(x - x1)

where m is the slope and (x1, y1) is the point (1, 2)

Substituting the values we get:

y - 2 = 3(x - 1)

Simplifying the equation we get:

y - 2 = 3x - 3

y = 3x - 1

Therefore, the equation of the line that passes through (1, 2) and is parallel to y = 3x - 9 is y = 3x - 1 .

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The mean absolute deviation of the set of numbers 2, 3, 3, 6, and 1 is 1.2.

What is the mean absolute deviation?

Mean absolute deviation (MAD) is a measure of the average absolute distance between each data value and the mean of a data set. Similar to standard deviation, MAD is a parameter or statistic that measures the spread, or variation, in your data.

To find the mean absolute deviation of a set of numbers, we first need to find the mean of the set. The mean is the sum of the numbers divided by the total number of numbers. For the set of numbers 2, 3, 3, 6, 1, the mean is:

mean = (2 + 3 + 3 + 6 + 1) / 5

= 15 / 5

= 3

Next, we need to find the absolute deviation of each number in the set from the mean. The absolute deviation is the absolute value of the difference between the number and the mean. For each number in the set, we calculate the absolute deviation as follows:

|2 - 3| = 1

|3 - 3| = 0

|3 - 3| = 0

|6 - 3| = 3

|1 - 3| = 2

To find the mean absolute deviation, we take the average of the absolute deviations. We add up the absolute deviations and divide by the total number of numbers in the set:

mean absolute deviation = (1 + 0 + 0 + 3 + 2) / 5

= 6 / 5

= 1.2

Therefore, the mean absolute deviation of the set of numbers 2, 3, 3, 6, and 1 is 1.2.

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Answer:

Angle 1= 106° and Angle 2=74°

Step-by-step explanation:

Angle 2 is 74° because lines a and b are parallel, and since there is a transversal, the 74° angle and angle 2 are corresponding angles.

Angles 1 and angle 2 are supplementary, so you would just do 180° - 74° and you get 106°

Answer:

y = 4x - 11

Step-by-step explanation:

The general equation of the slope-intercept form of a line is given by:

y = mx + b, where

We can find b, the y-intercept of the line, by plugging in 4 for m and (3, 1) for (x, y) in the slope-intercept form:

1 = 4(3) + b

1 = 12 + b

-11 = b

Thus, the y-intercept is -11.

Thus, the equation of the line with a slope of 4 passing through the point (3, 1) in slope-intercept form is y = 4x - 11

The answer is:

Work/explanation:

First, we will write the equation in point slope:

\(\sf{y-y_1=m(x-x_1)}\)

where m = slope;

(x₁,y₁) is a point on the line.

Plug in the data:

\(\sf{y-1=4(x-3)}\)

Simplify

\(\sf{y-1=4x-12}\)

Add 1 on each side

\(\sf{y=4x-12+1}\)

\(\sf{y=4x-11}\)

Student A's strategy of reading a consistent number of pages each day will enable them to finish the book in 20 days.

On the other hand, Student B's strategy of gradually increasing the number of pages read each day will result in a longer duration to complete the book.

Student A plans to read a consistent 25 pages each day, while Student B plans to start with 2 pages and increase the number of pages read by 50% each day after the first day.

Let's analyze the outcome of these two strategies.

For Student A:

Since the book has 500 pages and Student A reads 25 pages per day, the total number of days required to finish the book can be calculated as:

Total days = 500 pages / 25 pages per day = 20 days

Therefore, Student A will finish reading the book in 20 days by consistently reading 25 pages each day.

For Student B:

On the first day, Student B reads 2 pages.

From the second day onward, the number of pages read increases by 50% each day.

Let's see the pattern:

Day 2: 2 pages

+ 50% (2 pages) = 3 pages

Day 3: 3 pages + 50% (3 pages) = 4.5 pages

Day 4: 4.5 pages + 50% (4.5 pages) = 6.75 pages

We can observe that the number of pages read increases each day but with diminishing increments due to the 50% increase.

As a result, Student B will take longer to read the book compared to Student A.

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The value of x in this proposition would be the first option i.e. \(-13\frac{1}{4}\)

4/11= -33/x+5,

to get the value of x we need to get the x to the left hand side,

4(x+5)= -33,

4x+20 = -33.

subtracting 20 from both the sides,

4x= -33-20

4x = -53.

dividing both the sides by 4,

x= -53/4

x= \(-13\frac{1}{4}\) ,

which is option A in the given question

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Comparing the median of each box-and-whisker plot, the type of transportation that is LEAST likely to take more than 30 minutes is: d. train.

How to Interpret a Box-and-whisker Plot?

In order to determine the transportation that is LEAST likely to take more than 30 minutes, we have to compare the median of each data set represented on the box-and-whisker plot for each transportation.

The box-and-whisker plot that has the lowest median would definitely represent the the transportation that is LEAST likely to take more than 30 minutes, since median represents the typical minutes or center of the data.

Therefore, from the box-and-whisker plots given, the one for train has the lowest median. Therefore train would LEAST likely take more than 30 minutes.

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Answer:

The equation \(\frac{csc x -1}{cot x} = \frac{cot x}{csc x + 1}\) can be simplified by cross-multiplying the fractions and then solving for x. This will result in the equation \(csc^2 x - 1 = 0\), which can be simplified to \(csc x = 1\), and thus \(x = \frac{\pi}{2} + n\pi\), where n is any integer.

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Answer:

L= 0.6km b= 0.3km

Step-by-step explanation:

L = length b= breadth

L= 2 * b = 2b

he jogged around 3 times to cover 5.4 km

So, jogging around once would be (5.4/3) = 1.8 km which is the perimeter

perimeter of a rectangle is 2(L + b)

since the length is twice the breath, substitute 2b for L in the formula

perimeter = 2(2b + b) = 2(3b) = 6b

perimeter = 6b

1.8 = 6b

divide both sides by 6

b = 0.3km

since L = 2b, them L = 2 * 0.3 = 0.6km.

The probability is P = 0.135

First, we need to find the individual probabilities, that are given by the quotient between the number of outcomes that meet the condition and the total number of outcomes.

The joint probability is given by the product between the individual probabilities, so we get:

P = (1/2)*(3/6)*(28/52) = 0.135

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Answer:

Step-by-step explanation:

Hundreds: None

Tens: 70

Ones: 8

Tenths: None

Hundreths: 6/100

Thousandths: 3/1000

Total: 78  63/1000

Or in Numbers only:

78.063

Answer:

rate of change of rent's texting with respect to the month x

Step-by-step explanation:

This expression is written in the form of equation of a straight line f(x) = mx+c where;

m is the slope of rate of change of the function

c is the y-intercept

On comparing, we will see that the slope of the given equation is 117 which can be represented as the rate of change of rent's texting with respect to the month x

According to the given information, the value of the surface integral is 8/3.

The space occupied by a two-dimensional flat surface is called the area. It is measured in square units. The area occupied by a three-dimensional object by its outer surface is called the surface area.

The surface integral of a vector field F over a surface S is given by:

∬S F ⋅ dS = ∬R (F ⋅ ru × rv) dA

where R is the parameter domain of the surface S, ru and rv are the partial derivatives of the position vector r(u,v) with respect to u and v, and dA = ||ru × rv|| dudv is the area element on the surface.

In this case, we want to evaluate the surface integral:

∫∫H 4y dA

where H is the helicoid given by the vector parametric equation:

r(u,v) = <u cos(v), u sin(v), v>, 0 ≤ u ≤ 1, 0 ≤ v ≤ 9π.

The position vector r(u,v) has partial derivatives with respect to u and v given by:

ru = <cos(v), sin(v), 0>

rv = <-u sin(v), u cos(v), 1>

The area element is given by:

dA = ||ru × rv|| dudv = ||<cos(v), sin(v), u>| dudv = u dudv

Therefore, the surface integral can be written as:

\($\int\int_H 4y dA = \int_0^{9\pi} \int_0^1 4(u\sin v)u dudv$\\$= \int_0^{9\pi} \sin v \int_0^1 4u^2 du dv$\)

\($= \int_0^{9\pi} \sin v \left(\frac{4}{3}\right) dv$\\$= \left[-\frac{4}{3} \cos v\right]_0^{9\pi}$\)

= 8/3

Hence, According to the given information the value of the surface integral is 8/3.

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Answer:

w=15

Step-by-step explanation:

2w-5=30

2×15-5=30

30-5=25

w=15

The probability that a person who tests positive actually has the disease is 0.012%

From the question, we have the following parameters that can be used in our computation:

The probability that a person who tests positive actually has the disease is represented as

Probability = Incidence rate * False positive rate

Substitute the known values in the above equation, so, we have the following representation

Probability = 0.3% * 4%

Evaluate the products

Probability = 0.012%

Hence, the probability is 0.012%

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