Jasmine earns $13 per hour tutoring students after school. If Jasmine tutored for 5 hours this month, how much money did she earn this month?

Answer:

Step-by-step explanation:

dududuue

Answer:

The slope is -9/8.

Step-by-step explanation:

\(m = \frac{13 - 4}{2 - 10} = \frac{9}{ - 8} = - \frac{9}{8} \)

The claim that "a context level data flow diagram includes many detailed processes representing the computer programmes within the system" is false.

A context level data flow diagram (DFD) is a particular kind of diagram that shows how various system components interact with one another. The main objective of building a DFD is to visually depict the data flow and system activities.

The highest-level diagram that shows the system's overall operation without going into specifics about particular processes or data stores is a context level DFD, also referred to as a Level 0 DFD.

The statement that "a context level data flow diagram includes many detailed processes representing the computer programmes within the system" is untrue. This is so because the context level DFD reflects the total functionality of the system.

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Answer:

b = 12.5

YZ= 100

Step-by-step explanation:

X__Y__Z

XZ = XY + YZ

175 = 6b + 8b

175 = 14 b

b = 175/14

b = 12.5

YZ = 8 b = 8 × 12.5 = 100

I hope I helped you^_^

The researcher is assessing item equivalence, If a study is in parallel forms of the measurement instrument to the same person. The correct option is C).

When a study introduces parallel forms, the researcher is assessing item equivalence. Item equivalence refers to the extent to which the different forms of the measurement instrument produce similar results for the same individual.

This assessment is crucial in research because it allows researchers to evaluate the consistency and reliability of the measurement instrument across different versions. By administering parallel forms to the same person, any differences in responses can be attributed to individual factors rather than variations in the instrument.

This helps ensure that the instrument is measuring the intended construct consistently and accurately. The correct option is C).

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The simplified value of the given expression 0 + (1/2)×(2. 219^2)*9. 81 is 24.143810005.

To simplify the expression, we can use the Order of Operations (PEMDAS): 1. Parentheses 2. Exponents 3. Multiplication 4. Division 5. Addition 6. Subtraction. Hence, to simplify the expression 0 + (1/2)×(2.219^2)*9.81, we need to follow the order of operations (PEMDAS).

1. The parentheses must be solved first: (2.219^2) = 4.924361

2. The exponents are solved next: there are none in this expression

3. The multiplication must be carried out next: 4.924361x9.81 = 48.30405741

4. The division is done next: (1/2)x48.30405741 = 24.143810005

5. The addition and subtraction are carried out last: 0 + 24.143810005 = 24.143810005

Therefore, the simplified expression is 24.143810005.

Note: The question is incomplete. The complete question probably is: Simplify the question 0 + (1/2)×(2. 219^2)*9. 81

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Answer:

1/4, alternate forms are .25 and 2^-2

Step-by-step explanation:

Square Root of 25 is 5

6-5 =1

1/4

The 90% confidence interval for the class is [73.49, 76.51].

Confidence interval is defined as the range of values where a parameter might fall at a given confidence level. It can be calculated using the formula below.

CI = μ ± z x SD/√n

where CI = confidence interval

μ = sample mean = 75

z = found by using a z-score table

SD = sample standard deviation = 5

n = sample size = 30

At 90% confidence level, the area in each tail of the standard normal curve is 5, and the cumulative area up to the second tail is 95.

(100 - 90) / 2 = 5

100 - 5 = 95

Find 0.95 in the z-table to get the value of z.

At p = 0.95, z = 1.65

Plug in the values to the formula for confidence interval, CI.

CI = μ ± z x SD/√n

CI = 75 ± 1.65 x 5/√30

CI = 75 ± 1.51

CI = [73.49, 76.51]

Hence, for every 100 samples, at 90% confidence level, the mean will be between 73.49 and 76.51.

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Answer:

hi shaurya

Step-by-step explanation:

The value of the expression 17[cos(315°) + isin(315°)] will be (17√2 / 2) – (17√2 / 2)i. Then the correct option is A.

The connection between the lengths and angles of a triangular shape is the subject of trigonometry.

The rectangular form of 17(cos(315°) + isin(315°)).

We know that the value of cos 315° and sin 315°.

\(\sin 315^o = \dfrac{-1}{\sqrt2}\\\cos 315^o = \dfrac{1}{\sqrt2}\)

Then the value of the expression will be

⇒ 17[(1/√2) – (1/√2)i]

⇒ (17√2 / 2) – (17√2 / 2)i

Then the correct option is A.

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Answer:

A

Step-by-step explanation:

Answer:

16.4

Step-by-step

Answer:

Negative Correlation

Step-by-step explanation:

there is a negative correlation between the number of hours you sleep in and the number of hours you are awake during the day as the longer you are either awake or asleep the less time you will be doing the other thing

Here is a graph I made that will hopefully help you understand.

Even if I switched around the label for the x or y-axis, the correlation would still remain the same because the more you stay asleep, the less you will be awake and vice versa.

The coordinate matrix of x relative to the orthonormal basis B in R³ is [√10/10 -1 3√10/10]. It is a 1x3 matrix.

Firstly, we have to represent the vector x = (−2, −1, −3) in terms of the basis B in R³.Let the coordinate matrix of x relative to the orthonormal basis B be represented by

[x]B. [x]B = [a1 a2 a3] x = a1(√10/10,0, 3√10/10) + a2(0,1,0) + a3(-3√10/10,0,√10/10) is the representation of x in terms of B.

By definition, the jth column of [x]B is obtained by projecting x onto the jth basis vector of B.

Therefore, a1 = 〖x⋅u〗_1, a2 = 〖x⋅u〗_2, and a3 = 〖x⋅u〗_3 .

Therefore, a1 = [(-2, -1, -3)⋅(√10/10,0, 3√10/10)]

= (-2√10/10 + 3√10/10) = √10/10a2

= [(-2, -1, -3)⋅(0,1,0)] = (-1) = -1a3

= [(-2, -1, -3)⋅(-3√10/10,0,√10/10)]

= (6√10/10 - 3√10/10) = 3√10/10

Therefore, [x]B = [a1 a2 a3] = [√10/10 -1 3√10/10]. It is a 1x3 matrix.

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we have shown that if y1 and y2 are two solutions to the given differential equation, the difference between them approaches zero as t approaches infinity.

To prove this result, we consider the difference between the two solutions, D(t) = y1(t) - y2(t). Taking the derivative of D(t), we have D'(t) = y1'(t) - y2'(t) and the second derivative D''(t) = y1''(t) - y2''(t).Substituting these expressions into the given differential equation, we obtain a(D''(t)) + b(D'(t)) + cD(t) = g(t). Since y1 and y2 are solutions to the differential equation, we know that ay1'' + by1' + cy1 = g(t) and ay2'' + by2' + cy2 = g(t).

By subtracting these two equations, we get a(D''(t)) + b(D'(t)) + cD(t) = 0. This is a homogeneous linear differential equation with constant coefficients. The general solution to this equation is of the form D(t) = C1e^rt + C2e^st, where C1 and C2 are constants, and r and s are the roots of the characteristic equation associated with the homogeneous equation.

Since a, b, and c are positive constants, the characteristic equation has negative roots, implying that as t approaches infinity, both e^rt and e^st terms tend to zero. Therefore, the limit of D(t) as t approaches infinity is zero, which implies that lim t→[infinity] [y1(t) - y2(t)] = 0.

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In the number 5.3779, the value of the 7 in the hundredths place is greater than the value of the 7 in the thousandths place. The hundredths place represents a smaller fraction of the whole number.

The value of a digit in a decimal number is determined by its position relative to the decimal point. Moving from left to right, each digit's value is ten times smaller than the digit to its immediate left. In the number 5.3779, the first 7 is in the hundredths place, which means its value is 7/100 or 0.07. On the other hand, the second 7 is in the thousandths place, and its value is 7/1000 or 0.007.

Comparing the two values, 0.07 is greater than 0.007 because 7/100 is larger than 7/1000. The hundredths place represents a larger fraction of the whole number compared to the thousandths place, so the value of the 7 in the hundredths place is greater than the value of the 7 in the thousandths place.

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To achieve an average cost per text message of $0.05 on the monthly cell phone plan, a certain number of additional text messages beyond the first 300 need to be used.

The monthly cell phone plan charges a fixed amount of $5.00 for the first 300 text messages and an additional $0.15 for each extra message. To find the number of text messages needed to achieve an average cost of $0.05 per message, we can set up an equation.

Let's denote the total number of text messages used as "x" (including the first 300 messages). The cost for the first 300 messages is $5.00, and the cost for the additional messages is (x - 300) * $0.15. The total cost is the sum of these two amounts.

To find the average cost per message, we divide the total cost by the number of messages: (5 + 0.15 * (x - 300)) / x = 0.05. By solving this equation, we can determine the value of x, which represents the number of text messages needed to achieve an average cost per message of $0.05.

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To achieve an average cost per text message of $0.05 on the monthly cell phone plan, a certain number of additional text messages beyond the first 300 need to be used.

The monthly cell phone plan charges a fixed amount of $5.00 for the first 300 text messages and an additional $0.15 for each extra message. To find the number of text messages needed to achieve an average cost of $0.05 per message, we can set up an equation.

Let's denote the total number of text messages used as "x" (including the first 300 messages). The cost for the first 300 messages is $5.00, and the cost for the additional messages is (x - 300) * $0.15. The total cost is the sum of these two amounts.

To find the average cost per message, we divide the total cost by the number of messages: (5 + 0.15 * (x - 300)) / x = 0.05. By solving this equation, we can determine the value of x, which represents the number of text messages needed to achieve an average cost per message of $0.05.

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Answer:

a = 3

b = 3

c = 5

d = 2

Step-by-step explanation:

\(600 = 2 \cdot 2 \cdot 2 \cdot 3 \cdot 5 \cdot 5\\= 2^3 \cdot 3 \cdot 5^2\)

Answer:

a = 3, b = 3, c = 5, d= 2

Step-by-step explanation:

Factor out 600

600 = 6 x 10

6 = 2 x 3

10 = 2 x 5

Since 2, 3 and 5 ae primes, we cannot factor further

So 6 x 10 x 10 becomes

(2 x 3) x (2 x 5) x (2 x 5)

= 2 x 2 x 2 x 3 x 5 x 5

= 2³ x 3 x 5²

Matching this with the given pattern gives

a = 3, b = 3, c = 5 and d = 2

Answer:

6%

Step-by-step explanation:

120 / 2000 = 0.06

Move the decimal two places to the right to go from decimal to percentage, and you get 6, or 6%

Answer:

Step-by-step explanation:

RT × TS = PT × TQ

The population median commute time of the employees of Asons is 40 minutes.

The median is a measure of central tendency that represents the middle value in a dataset when the data is arranged in ascending or descending order. In this case, the commute times provided are 47.4, 45, 35, and 40 minutes.

To determine the median, we arrange the commute times in ascending order: 35, 40, 45, 47.4. Since there are four values in the dataset, the middle value is the average of the two central values, which are 40 and 45. Taking the average of these two values gives us the median of 40 minutes.

Therefore, the population median commute time of the employees of Asons is 40 minutes, indicating that half of the employees have a commute time of 40 minutes or less, while the other half have a commute time of 40 minutes or more.

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The exact value  of \(sin 2x\) is \(4√5/9.\)

Given that \(sec x = 3/2 and csc y = 3\)where x and y are in the 2x = 2 sin x quadrant, we need to find the exact value of sin 2x.

In the first quadrant, we have the following values of the trigonometric ratios:\(cos x = 2/3 and sin y = 3/5\)

Also, we know that sin \(2x = 2 sin x cos x.\)

Now, we need to find sin x.

Having sec x = 3/2, we can use the Pythagorean identity

\(^2x + 1 = sec^2xtan^2x + 1 = (3/2)^2tan^2x + 1 = 9/4tan^2x = 9/4 - 1 = 5/4tan x = ± √(5/4) = ± √5/2\)

As x is in the first quadrant, it lies between 0° and 90°.

Therefore, x cannot be negative.

Hence ,\(tan x = √5/2sin x = tan x cos x = √5/2 * 2/3 = √5/3\)

Now, we can find sin 2x by using the value of sin x and cos x derived above sin \(2x = 2 sin x cos xsin 2x = 2 (√5/3) (2/3)sin 2x = 4√5/9\)

Therefore, the exact value  of sin 2x is 4√5/9.

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To answer this question, we would need to perform a hypothesis test using the given sample data and a significance level of α = 0.05. The null hypothesis would be that the standard deviation of the resting heart rates for students in this class is equal to 12 bpm, while the alternative hypothesis would be that it is different from 12 bpm.

We would then need to calculate the sample standard deviation from the given data and use it to compute the test statistic (either a t-score or a z-score, depending on the sample size and whether or not the population standard deviation is known). We would compare this test statistic to the critical value from the appropriate distribution (either a t-distribution or a standard normal distribution) using the given significance level.

If the test statistic falls outside the critical value region, we would reject the null hypothesis and conclude that there is enough evidence to say that the standard deviation of the resting heart rates for students in this class is different from 12 bpm. However, if the test statistic falls inside the critical value region, we would fail to reject the null hypothesis and conclude that there is not enough evidence to make such a claim.

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Using proportions, it is found that 889 students would be expected to prefer painting over scultuprue.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, 20 out of 45 students prefer painting over sculpture. Out of 2000 students, how many students would be expected to prefer painting? The rule of three is given by:

20 - 45

n - 2000

Applying cross multiplication:

45n = 20 x 2000

n = (20 x 2000)/45

n = 889.

889 students would be expected to prefer painting over scultuprue.

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Answer:

x=21

Step-by-step explanation:

Answer:

sequences and series

Step-by-step explanation:

terms to know:

sequence

series

divergent

convergent

infinite seies

arithmetic series

geometric series

ik im late asl but points

Answer:

hertz (Hz)

Explanation:

The SI unit for frequency is the hertz (Hz). One hertz is the same as one cycle per second.

Answer:

The answer is Hertz

Hope it helped!!

The given statement, "Andrew is studying mathematics and studying about the coordinate system. in this system, the coordinates of a point are dependent on the distance of the point from the origin, and the angle the point subtends at the origin." is False.

In the coordinate system, the coordinates of a point are not dependent on the distance of the point from the origin and the angle the point subtends at the origin. The coordinates of a point in the Cartesian coordinate system (most commonly used) are determined by the distances of the point along each of the coordinate axes (usually denoted as x and y).

The x-coordinate represents the horizontal distance of the point from the origin, and the y-coordinate represents the vertical distance of the point from the origin. The coordinates of a point are usually written as (x, y).

The distance of a point from the origin can be calculated using the Pythagorean theorem as the square root of the sum of the squares of the x-coordinate and y-coordinate. However, the distance from the origin is not a factor in determining the coordinates of a point.

The angle that a point subtends at the origin is typically referred to as the polar angle or the angle in polar coordinates. Polar coordinates are an alternative coordinate system that uses the distance from the origin and the angle to represent a point. However, in the Cartesian coordinate system, the coordinates of a point are not directly dependent on the angle it subtends at the origin.

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Explanation

By definition.

so

Let

hence

I hope this helps you

Answer:

3x+33+5x+13=70

8x+33+13=70

8x+46=70

8x=24

x=3

Let me know if this helps!