Angus has a big test coming up. Should he stay up & study or go to bed early the night before the test?

Answer:

19845

Step-by-step explanation:

The reflection is

A reflection of a point, a line, or a figure in the X axis involved reflecting the image over the x axis to create a mirror image. In this case, the x axis would be called the axis of reflection.

For reflecting over the X axis is to negate the value of the y-coordinate of each point, but leave the x-value the same.

and, for reflecting over the Y axis is to negate the value of the x-coordinate of each point, but leave the y value the same.

So, by considering the above value rules the reflection of the given points as follows over respective axis.

E(7, 1) ⇒ (7, -1)

Here, the reflection is over x-axis because the y value is changing

F(-3, 5) ⇒ (-3, -5)

Here, the reflection is over x-axis because the y value is changing

G(6, -2) ⇒ (-6, -2)

Here, the reflection is over y-axis because the x value is changing.

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Answer: 3rd option

Step-by-step explanation: square root of 13 is 3.60 so it lines up perfectly on the number line

To find the distance between Basti and Cian, we can use the law of sines in triangle ABC. The law of sines states that the ratio of the length of a side to the sine of the opposite angle is constant for all sides and their corresponding angles in a triangle.

Let's label the distance between Basti and Cian as "x". We know that the measure of angle ABC is 50 degrees and the measure of angle BAC is 60 degrees. We also know that Ali is exactly 150 ft away from Basti.

Using the law of sines, we can set up the following equation:

sin(50°) / 150 = sin(60°) / x

To solve for "x", we can rearrange the equation:

x = (150 * sin(60°)) / sin(50°)

Using a calculator, we can evaluate the expression:

x ≈ (150 * 0.866) / 0.766

x ≈ 168.4 ft

Therefore, the distance between Basti and Cian is approximately 168.4 ft.

The correct inequalities are:

B. √3/2 < √2 < 1.5

D. √6 < 2.5 < √7

In mathematics, an inequality is a statement that two values or expressions are not equal. Instead, one value or expression is greater than or less than the other. Inequalities are commonly used to compare quantities or to describe ranges of values.

In the given question,

The correct inequalities are:

B. √3/2 < √2 < 1.5

D. √6 < 2.5 < √7

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Answer:

4,73........

........................

Answer: 4.729

Step-by-step explanation:

320 * 0.015^18 * 100

320 *100 = 32000

32000 * 0.015^18

0.0015^18 = 1.4778

32000 * 1.47789

4.72925

The congruence theorems used in this problem are given as follows:

9. AAS.

10. SAS.

11. Not similar.

12. SSS.

For item 9, the AAS theorem is used, as the two angles, the 72º and the vertical angle, are congruent, along with the another side.

For the item 10, we have that the SAS theorem is used, as we have that the sides between the same angle are proportional.

For item 11, the triangles are not similar, as the side lengths are not proportional.

For item 12, the SSS theorem is used, as the three angles of the similar triangles have the same measure.

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The required time taken by the sofia is 15.75 minutes.

Work is defined as the efficiency of the person to do a particular work in the certain period of time. Work is directly proportional to the efficiency and inversely proportional  to time.

Formula, work = efficiency/time

According to the given data in the question:

Let efficiency of sofia be 1, then efficiency of elsa is 3.

We have time for 21 minutes

total work =efficiency/time

time for sofia = 3x and that of elsa = 1x

then time= 4x = 21 = 5.25= x

time taken by sofia is 3(5.25) = 15.75 minutes

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Given the graph of a rational function as shown

The domain of the rational function is

Answer: 1

Step-by-step explanation:

The Coalition for Airline Passengers Rights, Health, and Safety averages 400 calls a day to help stranded travelers deal with airlines. The hotline is staffed for 16 hours a day.

To calculate the average number of calls in different time intervals and the probability of different events related to these calls.

Part 1:

a. 60-minute interval average number of calls: 400/16 = 25 calls

30-minute interval average number of calls: 25/2 = 12.5 calls

15-minute interval average number of calls: 12.5/2 = 6.25 calls

Part 2:

b. To find the probability of exactly 6 calls in a 15-minute interval, we can use the Poisson distribution formula. Let's assume that the average number of calls in a 15-minute interval is 6.25. Then, the probability of exactly 6 calls in a 15-minute interval is:

P(6 calls) = (e^-6.25)*(6.25^6)/6! = 0.0686

c. To find the probability of no calls in a 15-minute interval, we can use the Poisson distribution formula. Let's assume that the average number of calls in a 15-minute interval is 6.25. Then, the probability of no calls in a 15-minute interval is:

P(0 calls) = e^-6.25 = 0.0047

d. To find the probability of at least two calls in a 15-minute interval, we can use the cumulative distribution function of the Poisson distribution. Let's assume that the average number of calls in a 15-minute interval is 6.25. Then, the probability of at least two calls in a 15-minute interval is:

P(X >= 2) = 1 - P(0 calls) - P(1 call) = 1 - 0.0047 - (e^-6.25)*(6.25^1)/1! = 0.9906

Thus, the average number of calls in a 60-minute interval is 25, in a 30-minute interval is 12.5, and in a 15-minute interval is 6.25. The probability of exactly 6 calls in a 15-minute interval is 0.0686, the probability of no calls in a 15-minute interval is 0.0047, and the probability of at least two calls in a 15-minute interval is 0.9906.

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The applied overhead cost for job 201 is $36,000 and total cost for job 201 under direct materials cost as allocation base is $86,000.

Allocation base is a technique utilized in accounting to designate the cost of something to its use or product to recognize the price of the finished product.

Example provides the total overhead cost at $120,000 for the period, the base data of $100,000 direct material cost and 500 direct labor hours. The base data are used to calculate the predetermined factory overhead rate, which is used to apply overhead costs to work in progress.

The predetermined factory overhead rate is calculated by dividing the total overhead cost for the period by the base data. The predetermined factory overhead rate is multiplied by the actual activity in the allocation base to obtain the applied overhead cost.

Direct materials cost as allocation base $30,000 is the actual direct material cost used in job 201. The predetermined factory overhead rate is calculated by dividing the total overhead cost for the period by the direct material cost, which is $120,000/$100,000=120%.

The applied overhead cost for job 201 is $30,000*120% = $36,000.

Total cost for job 201 under direct materials cost as allocation base is $30,000+$20,000+$36,000 = $86,000.

-Direct labor cost as allocation base:

The actual direct labor cost used in job 201 is $20,000. The predetermined factory overhead rate is calculated by dividing the total overhead cost for the period by the direct labor cost, which is $120,000/$100,000=120%.

The applied overhead cost for job 201 is $20,000*120% = $24,000.

Total cost for job 201 under direct labor cost as allocation base is $30,000+$20,000+$24,000 = $74,000.

-Direct labor hours as allocation base:

The actual direct labor hours used in job 201 is 400 hours.

The predetermined factory overhead rate is calculated by dividing the total overhead cost for the period by the direct labor hours, which is $120,000/500 hours = $240 per hour.The applied overhead cost for job 201 is $240*400 hours = $96,000.

Total cost for job 201 under direct labor hours as allocation base is $30,000+$20,000+$96,000 = $146,000.

-Physical output as allocation base: The actual output in units completed for job 201 is 2,000 shirts.

The predetermined factory overhead rate is calculated by dividing the total overhead cost for the period by the output in units, which is $120,000/10,000 units = $12 per unit.

The applied overhead cost for job 201 is $12*2,000 units = $24,000.Total cost for job 201 under physical output as allocation base is $30,000+$20,000+$24,000 = $74,000.

-Machine hours as allocation base: The actual machine hours used in job 201 is 240 hours.

The predetermined factory overhead rate is calculated by dividing the total overhead cost for the period by the machine hours, which is $120,000/5,000 hours = $24 per hour.

The applied overhead cost for job 201 is $24*240 hours = $5,760.

Total cost for job 201 under machine hours as allocation base is $30,000+$20,000+$5,760 = $55,760.

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Answer:

Function 1: exponential

Function 2: exponential

Function 3: quadratic

Step-by-step explanation:

I used a graphing calculator.

Hope this helps:)

Answer:

(-5, 101) or (1, -7)

Step-by-step explanation:

The gradient of a function is zero when its first differential is zero

Taking first derivative of y = x³ + 6x² - 15x + 1

we get
\(\dfrac{dy}{dx} = \dfrac{d}{dx}(x^3+6x^2-15x\:+\:1)\)

\(= \dfrac{d}{dx}(x^3)+ \dfrac{d}{dx}(6x^2) - \dfrac{d}{dx}(15x)\:+\: \dfrac{d}{dx}(1)\\\\\)

\(= 3x^2 + 2(6x) - 15 + 0\\\\\\= 3x^2 + 12x - 15x\\\)

Set this first differential to 0, find the solution set for x

\(3x^2 + 12x - 15x =0\)

This is a quadratic equation which will have 2 solutions for x.

First divide throughout by 3
\(= > x^2 + 4x - 5 = 0\)

Factor the term:
\(= > x^2 + 4x - 5 = 0\\\\== > (x -1)(x + 5) = 0\\== > x - 1 =0 \text { or } x + 5 =0\\\\\)

This means x = 1 or x = -5 is the solution set

To find the y value corresponding to these values of x, plug in each of these x values in the original equation and solve for y

Plug in x = 1 into equation x³ + 6x² - 15x + 1

=> 1³ + 6(1)² - 15(1) + 1

=> 1 + 6 - 15 + 1

=> -7

So one point is (1, -7)

Looking at the choices we can eliminate the first and  last choices

Looking at choices 2 and 3 we see that only one of them has x = -5 which is the other solution value. This is the second choice

So the correct answer is second choice
(-5, 101) or (1, -7)

Note we did not have to go through the pain of computing y for x = -5

The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

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Answer:

D

Step-by-step explanation:

To turn the fraction of 1 1/2 to decimal would be : 1.50 add fifty percent because you have to add 6 to 12 and six is half, so you add half. Half of 150 is 75 so add them you get 225 and as a fraction, that's 2 1/4. Already you have the first part done. Since there is only one answer with 2 1/3 your answer has to be D.

The instantaneous rate of change of the lightbulb's electric charge, in coulombs per second is : \(Q'(4) = -0.171\).

The instantaneous rate of change of the lightbulb's electric charge at time t is 4 can be calculate by taking the derivative of Q with respect to t and evaluating it at t = 4.

This can be done by using the definition of the derivative:

\(Q'(t) = lim h- > 0 (Q(t + h) - Q(t)) / h.\)

Substituting t = 4, we can find Q'(4) as follows:

\(Q'(4) = lim h- > 0 (Q(4 + h) - Q(4)) / h\)

=\(lim h- > 0 (3e0.7(4 + h)sin(theta) + 0.01sin(4(4 + h)) + 0.02cos(4(4 + h)) - 0.194) / h\)

\(= -0.171.\)

The physical characteristic of matter that causes it to feel a force when exposed to an electromagnetic field is called electric charge. Positive or negative charges can exist in an electric field. Protons are in excess in positively charged matter, while electrons are in excess in negatively charged matter. The Coulomb is the electrical charge unit used in SI (C).

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The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.

In the equation you provided: 3x(5x7) = (3x5)7

The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.

Answer:

Step-by-step explanation:

Quadratic means squared equation so

the first one is your answer.

y= 4x²

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes, hence it is the same as a relative frequency.

The total number of periods is given as follows:

5 + 6 + 4 = 15.

The frequency of each class is given as follows:

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Answer:

20°

Step-by-step explanation:

A full circle is 360°

So at B,

angle a + 30 + 160 + 90(right angle) = 360

angle a + 280 = 360

angle a = 360 - 280 = 80

Now the markings indicate that side AC = side AB (you have been told it's isosceles right and isoceles triangles have two equal sides and two equal angles)

This also implies that angle a = angle b.

So, angle a is 80°

angle b is 80°

angle x = 180 - (80+80) = 180 - 160 = 20°

Note that the sum of all interior angles of a triangle is always 180

Answer:

The answer is C.

Step-by-step explanation:

The equivalents to 1/4 are 2/8, 3/12, 4/16 etc. So the fractions after 1/4 are higher than 1/4. Then you count how many 'x's are in the columns for those measurements and you will get 6.

Answer:

(6,4)

Step-by-step explanation:

(4+2,7-3)=(6,4)

The set of side lengths creating a triangle is 20, 30, and 15

A triangle is a polygon with three sides having three vertices. The angle formed inside the triangle is equal to 180 degrees.

Given that, side lengths of 20, 30, and 15 and side lengths of 5, 3, and 9. Only one of these sets of sides will create a triangle.

We know that, in a triangle, the sum of any two sides of a triangle must be longer than the third side.

In the side lengths = 20, 30 and 15

20+30 = 50 > 15

20+15 = 35 > 15

15+30 = 45 > 15

Since, this set follows the triangle inequality theorem.

Hence, Only one of these sets of sides will create a triangle is 20, 30, and 15

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Answer:

possibly 5?

Step-by-step explanation:

But can you plzzz help me with my latest question

Answer:-6.5

Step-by-step explanation:

Answer:

Step-by-step explanation

Use pemdas.

P- Parenthesis

e- Exponents

m- Multiplication

d- Division

a- Additon

s-Subtraction

5÷10+2-9

=5÷12-9

=5÷3

=1.666666666667

Answer:

sin5A+sin3A=cos2A-cos6A

2SIN((5A+3A)/2)COS ((5A-3A)/2)=2SIN((2A+6A)/2)SIN((2A-6A)/2)

\( \frac{2 \sin(4a )cosa}{ - 2 \sin(4a) \sin(2a) } = 1\)

\( - \frac{ \cos(a) }{2 \sin(a) \cos(a ) } = 1\)

-1/2sinA=1

-1/2=sinA

sinA=sin(180+30),sin(330)

:.A=210,330

Answer:

I think that the answer is 50

Answer:

-3/2

Step-by-step explanation:

edge