I am half as old as my sister. In 6 years’ times will be 22. How old am now?

Answers

Answer 1

Answer:15

Step-by-step explanation:


Related Questions

Jim bought a pair of shoes for $50 and laces for $1. If the sales tax is 7%, how much tax must he pay?
(a) $3.57
(c) $0.36
(b) $350
(d) $35.70​

Answers

Jim must pay tax  $3.57.

The correct answer is (a) $3.57.

To calculate the sales tax that Jim must pay, we need to find 7% of the total cost of the shoes and laces.

The total cost of the shoes and laces is $50 (shoes) + $1 (laces) = $51.

To calculate the sales tax, we multiply the total cost by the tax rate:

Sales tax = 7% of $51

[tex]= 0.07 \times $51[/tex]

= $3.57.

Therefore, Jim must pay $3.57 in sales tax.

The correct answer is (a) $3.57.

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Starting from rest, an object travels at a constant speed of 150 cm/s (centimeters per second) along a straight line. If d is the total distance in cm that the object has traveled at time t seconds, then which of the following gives the equation expressing d as a function of t, and the total distance d in meters that the object has traveled at time t = 2 seconds?

Answers

The equation expressing d as a function of t can be found by using the formula for distance traveled with constant speed:

d = vt

where d is the distance, v is the constant speed, and t is the time elapsed.

In this case, the speed is 150 cm/s, so the equation is:

d = 150t

To find the total distance traveled in meters at t = 2 seconds, we need to first find the total distance traveled in centimeters at t = 2 seconds:

d = 150t

d = 150(2)

d = 300 cm

To convert to meters, we divide by 100:

d = 300/100

d = 3 meters

Therefore, at t = 2 seconds, the object has traveled a total distance of 3 meters.

parallel and perpendicular line math homework

Answers

a. The slopes of the lines are:

Slope of line 1 = -5/2

Slope of line 2 = 7/5

Slope of line 3 = -5/2

b.

Line 1 and Line 2 : Neither

Line 1 and Line 3 : Parallel

Line 2 and Line 3 : Neither

Calculating the slope of lines

From the question, we are to determine the slope of each of the given lines:

Using the formula,

m = (y₂ - y₁) / (x₂ - x₁)

Where m is the slope

(-4, 7) and (-2, 2)

m = (2 - 7) / (-2 - (-4))

m = (-5) / (2)

m = -5/2

(0, -1) and (-5, -8)

m = (-8 - (-1)) / (-5 - 0)

m = (-7) / (-5)

m = 7/5

(-2, 8) and (2, -2)

m = (-2 - 8) / (2 - (-2))

m = (-10) / (4)

m = -5/2

b.

NOTE: Two lines are said to be parallel if they have equal slopes; and they are said to be perpendicular if the slope of one is the negative reciprocal of the other.

Thus,

Line 1 and Line 2 : Neither

Line 1 and Line 3 : Parallel

Line 2 and Line 3 : Neither

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$5850 is invested at 6.5% compounded continuously. How long will it take for the balance to reach $11700? Round your answer to two decimal places.​

Answers

Answer:10.66 years. Punch again to double check

Step-by-step explanation:

A=Pe^(rt)

11700=5850e^(.065t)

isolate the variable expression

2=e^(.065t) divide by 5850

ln2=lne^(.065t) take the natural log of both sides

ln2=.065t. Bring down the power, lne equals

t is about 10.66 years. Divide ln2 by .065

3. A room is 17 feet by 16 feet. Carpet for the room costs
$101 per square yard.
How much will it cost to carpet the room?
Question 1

Answers

Answer: First, let's convert the room's dimensions from feet to yards, since the carpet cost is given per square yard:

17 feet = 5.67 yards (rounded to two decimal places)

16 feet = 5.33 yards (rounded to two decimal places)

Next, we can calculate the area of the room in square yards by multiplying these values:

Area = 5.67 yards × 5.33 yards = 30.23 square yards (rounded to two decimal places)

Finally, we can multiply the area by the cost per square yard to get the total cost:

Total cost = 30.23 square yards × $101/square yard = $3,056.23 (rounded to two decimal places)

Therefore, it will cost $3,056.23 to carpet the room.

what is the expanded notation of -6⁷​

Answers

Answer:

The expanded notation of -6⁷ means writing the number -6⁷ as a sum of its place values.

-6⁷ can be written as:

-6 × 6 × 6 × 6 × 6 × 6 × 6

or

-6 × (6 × 6 × 6 × 6 × 6 × 6)

or

-6 × 6⁶

In expanded notation form, it can be written as:

-6 × (6 × 6 × 6 × 6 × 6 × 6)

= -6 × (46656)

= -279936

Therefore, the expanded notation of -6⁷ is -279936.

Step-by-step explanation:

Help pleaseeeee I would appreciate it

Answers

The answers of the matrix of A after  adding  -5 times row 1 to row 3 of matrix is

1  -1  5  |  -1

1  -1 -4  |   5

0   9 -25 |   4

What is a matrix in mathematics ?

A matrix is described as  a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns, which is used to represent a mathematical object or a property of such an object.

Matrices are useful for describing systems of linear or differential equations, as well as representing a linear application.

We perform the row operation and have:
1  -1  5  |  -1

1  -1 -4  |   5

0   9 -25 |   4

The result after  adding  -5 times row 1 to row 3 of matrix is shown below:

1  -1  5  |  -1

1  -1 -4  |   5

0   9 -25 |   4

In conclusion,  in  a matrix function, the input and the output values are matrices.

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HELP ME PLEASE!!!!!

Answers

Answer:

1. True

2.True

3.True

4.False

5.False

6.True

7.True

8.True

Step-by-step explanation:

1. The area of a rectangle is found by the formula A=bh.

2. There are 4 rectangles making up the lateral area of the prism. 2+3=5. 5*6=30, and multiply by 2 since there are two of the 2x6 and two of the 3x6 rectangles to get 60. The bases of the prism have an area of 6 square inches each.

60+12+12=84

3. 3*5=15

4. The base is not a square, so you cannot multiply by 4 to get the area of all the triangles. You can multiply by two, and also multiply 1/2(3)(4) by 2 to get the area of the other two triangles.

5. The base is a triangle. 1/2(3)(4)=6.

6. 2[1/2(3)(4)]=12. 2(8*5)=80. 3*8=24. 80+24+12=116

7. A cube has 6 identical sides, so you can find the area of one side and multiply by 6 to get the surface area of the cube.

8. 9^2=81. 81*6=486.

more aleks parallel and perpendicular lines

Answers

a. The slopes of the lines are:

Slope of line 1 = 1/4

Slope of line 2 = -4

Slope of line 3 = -1/3

b.

Line 1 and Line 2 : Perpendicular

Line 1 and Line 3 : Neither

Line 2 and Line 3 : Neither

Calculating the slope of lines

From the question, we are to determine the slope of each of the given lines:

Using the formula,

m = (y₂ - y₁) / (x₂ - x₁)

Where m is the slope

(8, 0) and (-4, -3)

m = (-3 - 0) / (-4 - 8)

m = (-3) / (-12)

m = 1/4

(-1, 6) and (0, 2)

m = (2 - 6) / (0 - (-1))

m = (-4) / (1)

m = -4

(-3, -4) and (6, -7)

m = (-7 - (-4)) / (6 - (-3))

m = (-3) / (9)

m = -1/3

b.

NOTE: Two lines are said to be parallel if they have equal slopes; and they are said to be perpendicular if the slope of one is the negative reciprocal of the other.

Thus,

Line 1 and Line 2 : Perpendicular

Line 1 and Line 3 : Neither

Line 2 and Line 3 : Neither

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For the following exercises, convert the angle measures to radians.
-236° (the exact answer) b) 601° (round to two decimal places)

Answers

The calculated values of the angle measures when converted to radians are 1.31π rad and 3.34π rad

Converting the angle measures to radians.

To convert angles from degrees to radians, we multiply the number of degrees by π/180.

This means that

Angle = Degree measure * π/180

Using the above as a guide, we have the following:

Angle 236 = 236 * π/180

Evaluate the products

Angle 236 = 1.31π rad

Next, we repeat the same process for the second angle 601 degrees

Angle 601 = 601 * π/180

Evaluate the products

Angle 601 = 3.34π rad

Hence, the angles are 1.31π rad and 3.34π rad

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If Kayla has a 73% in her history class and she took a test 20% of her grade and got a 60 on it. What would her grade be?

Answers

Answer:

70.4%

Step-by-step explanation:

Assuming the test is the only graded assignment, and the remaining 80% of her grade is still at 73%, we can calculate Kayla's new overall grade as follows:

New overall grade = (0.80 x 73) + (0.20 x 60)

New overall grade = 58.4 + 12

New overall grade = 70.4

Therefore, Kayla's new overall grade is 70.4%

Answer:

70.4% or a C-.

Step-by-step explanation:

To calculate Kayla's new grade after taking the test, you need to first find out what percentage of her overall grade the test is worth. If the test is worth 20% of her grade, then the remaining 80% of her grade is based on other factors, such as homework, quizzes, and other tests.

To calculate Kayla's new grade, you can use the following formula:

New grade = (Current grade x Weight of current assignments) + (Grade on test x Weight of test)

Plugging in the numbers given in the problem, we get:

New grade = (0.73 x 0.80) + (0.60 x 0.20)

New grade = 0.584 + 0.12

New grade = 0.704

Therefore, Kayla's new grade after taking the test would be approximately 70.4%, or a C-.

Find the lateral and total surface area round to the nearest hundredth if necessary

Answers

The lateral and total surface area of the prism are 1000 square feet and 1120 square feet.

How to determine the lateral and total surface area of a prism

In this problem we need to determine the lateral and total surface area of a prism with a triangular base. The lateral surface area is the sum of the areas of the three rectangles and the total surface area is the sum of the lateral surface area and the areas of the two triangles.

The area formulas for the triangle and the rectangle are, respectively:

Triangle:

A = s · √[s · (s - a) · (s - b) · (s - c)]

s = 0.5 · (a + b + c)

Where:

a, b, c - Sides, in feet.s - Semiperimeter, in feet.A - Area, in square feet.

Rectangle:

A = w · h

Where:

w - Width, in feeth - Height, in feet.A - Area, in square feet.

Now we proceed to determine each surface area:

Lateral surface area:

A = 2 · (20 ft) · (17 ft) + (20 ft) · (16 ft)

A = 1000 ft²

Total surface area:

s = 0.5 · (17 ft + 17 ft + 16 ft)

s = 25 ft

A = √[(25 ft) · (25 ft - 17 ft)² · (25 ft - 16 ft)] + 1000 ft²

A = 1120 ft²

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Find the volume. round the final answer to the nearest whole number as needed. Round all intermediate values to the nearest tenth as needed.

Answers

In the given diagram, the volume of the composite shape is 12,672 ft³

Calculating the volume of a composite shape

From the question, we are to calculate the volume of the given composite shape

The composite shape is made up of a pyramid and a cuboid

Thus,

Volume of the shape = Volume of pyramid + Volume of cuboid

Volume of pyramid = 1/3 × base area × height

Volume of cuboid = Length × Width × Height

Calculating the volume of the pyramid

Volume of pyramid = 1/3 × 24² ×15

Volume of pyramid = 1/3 × 576 ×15

Volume of pyramid = 576 × 5

Volume of pyramid = 2880 ft³

Calculating the volume of the cuboid

Volume of the cuboid = 24² × 17

Volume of the cuboid = 9792 ft³

Thus,

Volume of the shape = 2880 ft³ + 9792 ft³

Volume of the shape = 12,672 ft³

Hence, the volume of the shape is 12,672 ft³

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3+3=???

A: 3113

B: 33

C. 6 ( I did the math and never got this answer)

D. 9

please help !!!!!​

Answers

*Laughs*Hmmmm unless we study different math but the one I know the answer is 6

Answer:

D

Step-by-step explanation:

gimme the points

cuz

scientific

Suppose that you are taking a course where the total class grade is the weighted average of your homework, worksheets, quizzes and tests.
The homework is worth 15% of the course grade, worksheets are worth 20% of the course grade, the quizzes are worth 25% of the course grade, and tests are worth 40% of the course grade. To get a B in the course, you must have an overall average of at least 80%.

Your current grades in each category are:

Homework =
74
%, Worksheets =
76
%, and Quizzes =
77
%.

What is the minimum test average you need to get a B in the course?.

Your answer is:
% (Round to at least 1 decimal place)

Answers

To get a B in the course, you need to have an overall average of at least 80%. Let's call the test average "T".

To calculate your overall average, we need to first find the weighted average of your homework, worksheets, and quizzes:

Weighted average = (0.15 x 74%) + (0.20 x 76%) + (0.25 x 77%)
= 11.1% + 15.2% + 19.25%
= 45.55%

Now we can set up an equation to solve for the minimum test average needed to get a B:

0.4555(100%) + 0.40(T) = 80%
45.55 + 0.40T = 80
0.40T = 34.45
T = 86.125

Therefore, you need to get at least a 86.125% average on your tests to get a B in the course. Rounded to one decimal place, the minimum test average you need is 86.1%.

La escuela de Hannah organizó una
donación de libros. Hay 150 estudiantes
en su escuela, que donaron b libros en
total. Hanna donó 3 veces el promedio
de libros que donó cada estudiante

Answers

According to the information, Hannah donated b/50 books in total.

How  to calculate how many books did Hannah donate?

First, we need to find the average number of books donated by each student. We can do this by dividing the total number of books donated by the number of students:

average number of books per student = b / 150

Hannah donated 3 times this amount, so we can multiply the average by 3 to find how many books she donated:

Hannah's donation = 3 * (b / 150)

Simplifying this expression, we get:

Hannah's donation = b / 50

Therefore, Hannah donated b/50 books in total.

Note: This question is in Spanish. Here is the question in English:

Hannah's school organized a book donation. There are 150 students in her school who donated a total of b books. Hannah donated 3 times the average number of books donated by each student. How many books did Hannah donate?

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Jennifer deposits money into a bank account. The amount of money in her account is measured in dollars, and can be modelled by the function A(m)= 1750(1.025)^m, where m is the number of months since the initial deposit.

What is the percent change in Jennifer's account balance each month? Is it increasing or decreasing? Justify answer.

Answers

a) The percent change in Jennifer's account balance each month is 2.5%.

b) Based on the future value function, A(m)= 1750(1.025)^m, the account balance is increasing because the growth factor is 1.025 and not less than 1.

What is a growth function?

A growth function is a mathematical equation that shows a constant rate in increase or growth in value of the dependent variable.

A growth function is modeled by a growth factor greater than 1 while a decay function shows a decay.

Percentage change = 2.5% (1.025 - 1)

2.5% = 2.5 ÷ 100 = 0.025

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One option in a roulette game is to bet 11on red.​ (There are 18 red​ compartments, 18 black​ compartments, and two compartments that are neither red nor​ black.) If the ball lands on​ red, you get to keep the 11 you paid to play the game and you are awarded 11. If the ball lands​ elsewhere, you are awarded nothing and the 11 that you bet is collected. Complete parts​ (a) through​ (b) below.

Answers

The expected value for playing roulette if a person bet $16 on red is -$0.84.

b. The statement that best describes what this value means is option b. Over the long run, the player can expect to lose about $1.05 for each game played.

What is the expected value?

To be able to calculate the expected value, you need to multiply the probability of winning by the amount won hence it will be:

Expected value = (18/38) x  $16 - (20/38) x  $16

= -$0.84

Based on the fact that the expected value has a negative sign, it implies that, on average, the player tend to lose money over the long run.

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See full question below

one option in a roulette game is to bet $16 on red. (there are 18 red compartments, 18 compartments, and two compartments that are neither red nor black) if the ball lands on red, you get to keep the $16 you paid to play the game and you are awarded $16. If the ball lands elsewhere, you are awarded nothing and the $16 that you bet is collected.

a. what is the expected value for playing roulette if you bet $16 on red?

$__________ (round to the nearest cent)

b. chosen the statment below that best describes what this value means???

Pick One!

a. over the long run, the player can expect to win about $1.05 for each game played

b. over the long run, the player can expect to lost about $1.05 for each game player

c. over the lung run, the player can expect to break even

A rectangular classroom is 10m long and 4.6m wide. Make a scale drawing of the classroom using the following scales.

Answers

The scale drawing of the classroom have the dimensions of 10 centimeters by 4.6 centimeters

Making a scale drawing of the classroom using the scales

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

Dimension of classroom = 10 meters by 4.6 meters

The scale of the drawing is given as

1 cm : 1 m

Using the above as a guide, we have the following:

Scale factor = 1 cm/1 m

So, we have

Scale factor = 1 cm per m

So, we have

Scale dimension of classroom = (10 meters by 4.6 meters) * 1 cm per m

Evaluate

Scale dimension of classroom = 10 centimeters by 4.6 centimeters

Hence, the scale drawing of the classroom have the dimensions of 10 centimeters by 4.6 centimeters

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Complete question

A rectangular classroom is 10 m long and 4.6 m wide. Make a scale drawing of the classroom using the following scales. 1 cm : 1 m

Please help if I don't finish this today my parents gonna take my phone away

Find the slope to solve the problem.

Sue drives 200 miles by 1:00 pm. She drives 350 miles by 4:00 pm if she continues at the same rate, how far will she drive by 5:00 pm?

Answers

To find the slope in this problem, we can use the formula for calculating slope, which is change in distance divided by change in time. In this case, the change in distance is 350 miles - 200 miles = 150 miles, and the change in time is 4:00 pm - 1:00 pm = 3 hours.

So, the slope (rate of driving) is 150 miles / 3 hours = 50 miles per hour.

Now, to find how far Sue will drive by 5:00 pm, we can use the slope and the additional time of 1 hour (from 4:00 pm to 5:00 pm).Distance driven by 5:00 pm = Slope * Time = 50 miles per hour * 1 hour = 50 miles.

Therefore, Sue will drive an additional 50 miles by 5:00 pm, making her total distance driven by 5:00 pm 200 miles + 150 miles + 50 miles = 400 miles. So, Sue will drive 400 miles by 5:00 pm if she continues at the same rate. Note that in this problem, we are assuming that Sue maintains a constant speed throughout her drive. If her speed changes, the solution may be different.

divide to 7 digits after the decimal point. Do not round your answer 3.1 divided by 6

Answers

The value of 3.1 divided by 6 leaving 7 digits after the decimal point without rounding is 0.5166666

Evaluating the quotient expression

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

3.1 divided by 6

When represented as an expression, we have

3.1 divided by 6 = 3.1/6

The above expression can be calculated using a calculator

Using a calculator, we have

3.1/6 = 0.51666666666

This means that

3.1 divided by 6 = 0.51666666666

Leaving 7 digits after the decimal point without rounding, we have

3.1 divided by 6 = 0.5166666

Hence, the value of 3.1 divided by 6 is 0.5166666

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Select each angle of rotation about the origin, (0, 0) that maps WXYZ TO W’ X’ Y’Z

Answers

The angle of rotation about the origin, (0, 0) that maps WXYZ TO W’ X’ Y’Z are

180 degrees

540 degrees

900 degrees

How to find the angle of rotation

The transformation rule for an angle of 180 degrees is simply a reflection or a flip. This means that any object or figure that undergoes this transformation will be flipped over a line or axis.

The rule is (x, y) will become (-x, -y)

Where 540 degrees = 360 + 180

where 900 degrees = 360 + 360 + 180

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Evaluate log_10^3.
a) 100
b) 1, 000
c) 9
d) 3

Answers

We can evaluate log_10^3 using the definition of logarithms:

log_b(x) = y if and only if b^y = x

In this case, we have log_10^3, which means that 10 is the base and 3 is the argument. We want to find the exponent y such that 10^y = 3.

However, there is no integer exponent that satisfies this equation, since 10^1 = 10 and 10^2 = 100 are both greater than 3, while 10^0 = 1 is less than 3.

Therefore, the value of log_10^3 is not an integer and cannot be expressed in the form of one of the answer choices. We can, however, approximate the value of log_10^3 as approximately 0.477, using a calculator or logarithm table.

Please help me I really don’t get this. ILL GOVE BRAINLIEST TO ANYONE PLEASD I GIVE 18 points

Answers

Answer:  C, yes

Step-by-step explanation:

Again you have do the same thing to both sides

They added 1 to both sides

Answer is C , yes they are same

Which is equivalent to cube root 8?

Answers

Answer:

2

Step-by-step explanation:

The value of cube root of 8, ∛8, is 2.

Answer:

2

Step-by-step explanation:

cube root 8 means:

a number x such that x * x * x = 8

the answer is 2, since 2 * 2 * 2 = 8

Types of discontinuities

Identify and Classify the discontinuities in the function, please

Answers

The discontinuity at x = -2 is a removable discontinuity or a hole in the graph of the function.

To identify the discontinuities in the function f(x), we first need to find the values of x that make the denominator zero, since division by zero is undefined.

The denominator of f(x) is x² + x - 2, which can be factored as (x - 1)(x + 2). Therefore, the function f(x) is undefined at x = 1 and x = -2, since they would make the denominator zero.

Now we need to determine the type of discontinuity at these points.

At x = 1, the function f(x) approaches infinity as x approaches 1 from both sides of the graph.

At x = -2, the function f(x) has a hole in the graph.

This means that the function is undefined at x = -2, but if we "plug in" x = -2, we can factor the numerator and cancel out the common factor with the denominator, resulting in a new function that is continuous at x = -2. The new function is:

f(x) = (x⁴ - 5x² + 4) / (x² + x - 2)

= [(x² - 1)(x² - 4)] / [(x - 1)(x + 2)]

= (x - 1)(x + 1)(x - 2), for x ≠ -2

Therefore, the discontinuity at x = -2 is a removable discontinuity or a hole in the graph.

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The table below shows the amount of time 80 people spent watching television during a week.

Time (hours)
Frequency
0 < h ≤ 10
5
10 < h ≤ 20
15
20 < h ≤ 30
50
30 < h ≤ 40
10

Calculate an estimate for the mean time spent watching television.

Give your answer to 1 d.p.

Answers

An estimate for the mean time spent watching television is approximately 24.375 hours.

How to calculate the mean

Midpoint of 0 < h ≤ 10 = (0 + 10) / 2 = 5

Midpoint of 10 < h ≤ 20 = (10 + 20) / 2 = 15

Midpoint of 20 < h ≤ 30 = (20 + 30) / 2 = 25

Midpoint of 30 < h ≤ 40 = (30 + 40) / 2 = 35

Sum of observations = (5 × 5) + (15 × 15) + (25 × 50) + (35 × 10) = 125 + 225 + 1250 + 350 = 1950

Total number of observations = 5 + 15 + 50 + 10 = 80

Mean = Sum of observations / Total number of observations = 1950 / 80 = 24.375

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A company produces traffic barrels. The diameter each barrel is
18 inches. The surface area of one barrel is 2,939.04 square inches.
What is the height of the traffic barrel? Estimate to the nearest hundredth using 3.14 for pie

Answers

The height of the traffic barrel is 42.97 inches.

What is the height of the traffic barrel?

The surface area of a cylinder is derived with A = 2πr² + 2πrh. A = surface area, r = radius and h = height.

Since diameter is given as 18 inches, we can get radius by dividing the diameter by 2:

r = 18 / 2

r = 9 inches.

Substituting these values, we get:

2,939.04 = 2π(9²) + 2π(9)h

2,939.04 = 162π + 18πh

2,939.04 - 162π = 18πh

h = (2,939.04 - 162π) / (18π)

h = 42.9736382161

h = 42.97 inches

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Enter your answer in the box.

Answers

Answer:

- 63

Step-by-step explanation:

When x = 0, x - 1 = -1

f(x - 1) = f(-1) = 21 from the table

-3f(x-1) = -3 (21)

= -63

Find the missing dimensions of each figure. Round your answer to the nearest tenth. PLEASE HELP

Answers

answer is : r=1.6 in since the volume of cylinder is :

[tex]\pi {r}^{2} h[/tex]

Other Questions
The list below includes information from Alfred Thayer Mahan about the importance of sea powerto U.S. foreign policy. expansion of the navy territorial expansion to provide refueling stations development of battleship technologyHow did this information influence foreign policy decisions made by the U.S. government duringthe late 1800s?A Diplomats were sent to promote democracy in new territories.B. Textile factories were encouraged to expand to new territories.C. Military alliances were created to provide battleships for other nations.D. Ports were annexed from other nations to be used as refueling locations. A ball drops some distance through the air, gaining 20 j of kinetic energy while experiencing some air resistance. how much gravitational potential energy did the ball lose You can hold a box against a rough wall and prevent it from slipping doen by pressing hard horizontally. if the coefficient os static friction is 0.35 and the box has a mass of 14.2 kg, what minimum force f will keep thebox from falling Write the implementation file, priority queue. C, for the interface in the given header file, priority queue. H. Turn in your priority queue. C file and a suitable main program, main. C, that tests the opaque object. Priority queue. H is attached as a file to this assignment but is also listed here for your convenience. Your implementation file should implement the priority queue using a heap data tructure. Submissions that implement the priority queue without using a heap will not receive any credit write 1/r^2 in terms of spherical bessel functions The health insurance portability and accountability act of 1996. How many doctors have left Venezuela in 12 years, according to the Venezuelan Federation of Doctors? In Ms. Marshall's class, individual students can earn tickets for engaging in academic work and for demonstrating positive classroom behavior. At the end of the week, each student can exchange their tickets for a reward This is an example of:A. observational learningB. classical conditioningC. a token reinforcement systemD. group consequeces Analyzing Tension in the Rising Action of "New Chicago"This activity will help you meet these educational goals: You will identify and analyze how order of events and pacing are used to create tension and suspense. You will write an analysis of how an author uses order of events and pacing to create tension and suspense.DirectionsRead the instructions for this self-checked activity. Submit your response to each question and check your answers. At the endof the activity, complete the final item to connect and reflect on your work.ActivityIn this lesson, you analyzed how Kelley Armstrong uses order of events and pacing to build tension and suspense in the risingaction of "New Chicago." In this activity, you'll write a two-paragraph analysis of how Kelley Armstrong uses order of events andpacing to create tension and suspense in "New Chicago." As you plan and draft your writing, you can use your graphicorganizer, refer to your notes and annotations in the Read and Analyze section of this lesson, or access the text heree.Part AUse the table to plan your written analysis. You may use the notes from your How the Author Builds Tension andSuspense Graphic Organizer to complete the table. Notice that paragraph 1 will focus on order of events and paragraph2 will focus on pacing..First, identify textual evidence, or examples, from "New Chicago" that demonstrates the technique.Then, explain how that evidence and technique create tension or suspense in the story. The original selling price of a jacket was ss dollars. The selling price was then changed on two occasions by the store owner. Its price is now represented by 0. 85(1. 4s)0. 85(1. 4s). Which expression could explain what happened to the price of the jacket? If the pressure of a 7. 2 liter sample of gas changes from 735 mmHg to 800 mmHg and the temperature remains constant, what is the new volume ofgas?06. 62 L0 5. 9 L0 7. 2L How much money did Susan earn per hour Menlo Company distributes a single product. The company's sales and expenses for last month follow:Per Unit$ 4028$ 12SalesVariable expensesContribution marginFixed expensesNet operating incomeTotal$ 600,000420,000180,000Required:1. What is the monthly break-even point in unit sales and in dollar sales?2. Without resorting to computations, what is the total contribution margin at the break-even point?3-a. How many units would have to be sold each month to attain a target profit of $70,800?3-b. Verify your answer by preparing a contribution format income statement at the target sales level.146,400$ 33,6004. Refer to the original data. Compute the company's margin of safety in both dollar and percentage terms.5. What is the company's CM ratio? If the company can sell more units thereby increasing sales by $69,000 per month and there is nochange in fixed expenses, by how much would you expect monthly net operating income to increase?Complete this question by entering your answers in the tabs below.Req 1Margin of safetyReq 3AReq 3BReq 2Req 5Refer to the original data. Compute the company's margin of safety in both dollar and percentage terms. (Round yourpercentage answer to 2 decimal places (i.e. 0.1234 should be entered as 12.34).)DollarsPercentageReq 4% Read the questions CAREFULLY CI is tangent to circle O at point c. If arc CUH=244*, find m what is rorschach's opinion of dr long and what does he base his judgment on You just completed your first week as a sales rep at Acme Vacation Rentals, a firm specializing in finding vacation rental homes for high-income clients. You enjoy the work very much but are surprised at the lack of client-related information available to support the sales reps who are left on their own in terms of collecting and storing useful data about their clients. The company is also lacking a marketing program focused on contacting current and potential clients. Again, each sales rep is left to do his or her own thing. As you are leaving Friday afternoon, your manager calls you into her office and asks how your first week went. After spending a few minutes recapping your week, you wonder if you should suggest that the firm investigate implementing a CRM system and, if so, how to proceed What did hardin believe the government should do about the undeserving poor? Need this really fast !consider the function whose criterion is f(x) = = ax + b si x 3 The required values for a and t for the function to be continuous at X=3 Victor opened a savings account that earns 4.5% simpleinterest. He deposited $5,725 into the account. What will beVictor's account balance after five years? Round to the nearestcent.7.1