What happens to a consistent slope when the y value starts to decrease and the x value remains the same over time?
A. Y decreases and X decreases

B. Y decreases and X increases

C. Y increases and X increases

D. Y increases and X decreases

Answers

Answer 1

Answer:

If the y value decreases while the x value remains the same over time, then the correct answer would be A. Y decreases and X decreases.

Step-by-step explanation:

Sure! A slope is a measure of the steepness of a line. It is calculated by dividing the change in the y-coordinates (rise) by the change in the x-coordinates (run) between two points on a line. The formula for slope is m = (y2 - y1) / (x2 - x1).

In your question, if the y value decreases while the x value remains the same over time, it means that the change in y-coordinates (rise) is negative while the change in x-coordinates (run) is zero. This results in a vertical line with an undefined slope. Therefore, the correct answer would be A. Y decreases and X decreases.


Related Questions

Help please -A special safe lets you choose from 5 symbols for a 3-symbol-long pass code. You may enter a symbol any number of times. How many potential pass codes are there?

Answers

Answer:

125

Step-by-step explanation:

the statement " 5 symbols for a 3-symbols- long pass code" in mathematics simply means 5 has a power of 3 or 5^3 = 5×5×5= 125

The distance between Eilat and Jerusalem is 292 kilometers. Give this distance in miles. Round the answer to the nearest tenth.

Answers

The distance between Eilat and Jerusalem is 181.4 miles.

To convert kilometers to miles, we need to multiply the number of kilometers by 0.621371, which is the conversion factor from kilometers to miles. Therefore, to convert the distance between Eilat and Jerusalem from kilometers to miles, we can use the following formula:

distance in miles = distance in kilometers × 0.621371

Substituting the given distance of 292 kilometers into the formula, we get:

distance in miles = 292 km × 0.621371 = 181.417852 miles

Rounding this answer to the nearest tenth, we get:

distance in miles ≈ 181.4 miles

Therefore, the distance between Eilat and Jerusalem is approximately 181.4 miles.

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Help now please math will briain list

Answers

According to the given information, the one angle on the straight line inside a circle is 135 then the value of the x = 4 as both angles are supplementary angles.

What are supplementary angles?

Supplementary angles are two angles whose sum is 180 degrees. In other words, if we add the measures of two supplementary angles, the result is always 180 degrees.

When two lines intersect, they form four angles at the intersection point. If two of these angles are supplementary, they are called adjacent supplementary angles. In this case, they share a common side and a common vertex, and their non-shared sides form a straight line.

For example, if angle A and angle B are adjacent angles, and angle A measures 120 degrees, then angle B must measure 60 degrees, since 120 + 60 = 180.

According to the given information

If the two angles are on a straight line, then they are supplementary, meaning their sum is 180 degrees. Therefore, we can set up the equation:

135 + (11x + 1) = 180

Simplifying the left side, we get:

136 + 11x = 180

Subtracting 136 from both sides, we get:

11x = 44

Dividing both sides by 11, we get:

x = 4

Therefore, the value of x is 4.

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Determine the perimeter of the right triangle shown.

right triangle with vertices at negative 5 comma 3, negative 5 comma negative 2, and 7 comma negative 2

Answers

The perimeter of the right triangle is 30 units.

What is perimeter?

In geometry, perimeter refers to the total length of the boundary of a two-dimensional shape, such as a polygon or a circle. It is the sum of the lengths of all the sides of the shape.

To find the perimeter of the right triangle, we need to determine the lengths of its sides first.

Using the distance formula, we can find the lengths of the three sides of the triangle:

Side 1: From (-5, 3) to (-5, -2)

[tex]Length = \sqrt{[(3 - (-2))^2 + (-5 - (-5))^2]} = \sqrt{[5^2]} = 5[/tex]

Side 2: From (-5, -2) to (7, -2)

[tex]Length = \sqrt{[(7 - (-5))^2 + (-2 - (-2))^2]} = \sqrt{[12^2]} = 12[/tex]

Side 3: From (7, -2) to (-5, 3)

[tex]Length = \sqrt{[(-5 - 7)^2 + (3 - (-2))^2]} = \sqrt{[144 + 25]} = \sqrt{[169]} = 13[/tex]

We know that the triangle is a right triangle because two of its sides (Side 2 and Side 3) form a straight line along the x-axis, and the third side (Side 1) is perpendicular to this line.

Therefore, Side 1 is the hypotenuse, and Sides 2 and 3 are the legs of the right triangle.

To find the perimeter, we add up the lengths of all three sides:

Perimeter = Side 1 + Side 2 + Side 3 = 5 + 12 + 13 = 30

Therefore, the perimeter of the right triangle is 30 units.

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You deposited $5,000 in your account earning 2.5 simple interest how long would it take for the balance of the account to earn $1,500 in interest?

Answers

To solve this problem, we can use the formula for simple interest:

I = P * r * t

where I is the interest earned, P is the principal amount (the initial deposit), r is the interest rate as a decimal, and t is the time in years.

We want to find how long it will take for the account balance to earn $1,500 in interest, so we can set up the equation:

$1,500 = $5,000 * 0.025 * t

where t is the time in years.

Simplifying this equation, we get:

t = $1,500 / ($5,000 * 0.025)

t = 12 years

Therefore, it will take 12 years for the balance of the account to earn $1,500 in interest

Scores on the GRE (graduate record examination) are normally distributed with a mean of 553 and a standard deviation of 112. Use the 68-95-99.7 rule to find
the percentage of people taking the test who score between 421 and 645

The percentages of people taking the test who scores between 421 and 645 is__%

Answers

The percentages of people taking the test who scores between 421 and 645 is: 68 %

How to use the empirical rule of statistics?

The empirical rule, also referred to as the three-sigma rule or the 68-95-99.7 rule, is defined as a statistical rule which states that almost all observed data for a normal distribution will fall within three standard deviations (denoted by σ) of the mean or average (denoted by µ).

We are given:

Sample mean: x' = 553

standard deviation; s = 112

Thus:

x' - ns = 421

x' + ns = 645

Where n is the number of standard deviations from the mean. Thus:

553 - 112s = 421

112s = 553 - 421

112s = 132

s = 132/112

s ≈ 1

So 1 standard deviation from the means indicates a percentage of 68%

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nangle
In order to justify your general statement above (to give a reason why it is true), construct the angles A, B
and C of triangle 1 around point M as in the diagram below.
H
Are [MN] and [ML] on the same straight line?

Answers

Answer:

MN and ML are on the same straight line.

Help me please, I need help! Thanks

Answers

Answer:

5w² + 4

Step-by-step explanation:

there's no like terms, so just write the expression again

i start with y, add 5 and then, double the result​

Answers

Answer:

2y + 10

Step-by-step explanation:

i start with y, add 5 and then, double the result​

y                      add 5

y + 5                double the result​

(y + 5) × 2         solve        

2y + 10

or

(y + 5) × 2 =

2y + 10

P = $5000
r = 6.25%
Compounded daily for 5 years

Answers

Answer:

Account balance = $6,834.01

Interest accrued = $1,834.01

Step-by-step explanation:

To find the account balance of an initial investment of $5,000 at 6.25% compounded daily for 5 years, use the Compound Interest Formula.

Compound Interest Formula

[tex]\large \text{$ \sf A=P\left(1+\frac{r}{n}\right)^{nt} $}[/tex]

where:

A = Final amount.P = Principal amount.r = Interest rate (in decimal form).n = Number of times interest is applied per year.t = Time (in years).

As the interest is compounded daily, n = 365.

Therefore, the values to substitute into the formula are:

P = $5,000r = 6.25% = 0.0625n = 365t = 5

Substitute the values into the formula and solve for A:

[tex]\implies A=5000\left(1+\dfrac{0.0625}{365}\right)^{365 \cdot 5}[/tex]

[tex]\implies A=5000\left(1.000171232...\right)^{1825}[/tex]

[tex]\implies A=5000\left(1.3668013759...\right)[/tex]

[tex]\implies A=6834.0068795...[/tex]

[tex]\implies A=6834.01\; \sf (2\;d.p.)[/tex]

Therefore, the account balance after 5 years is $6,834.01, and the total amount of interest earned is $1,834.01.

Two friends board an airliner just before departure time. There are only 9 seats left, 2 of which are aisle seats. How many ways:
sits on the aisle?
The 2 people can arrange themselves in
ways.

Answers

The 2 people from the 9 people can sit on the aisle in 72 ways

How many ways can the 2 people sit on the aisle?

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

Number of peiple = 9

Number of seats = 2

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

n = 9 and r = 2

The can arrange themselves in nPr ways.

Where

nPr = n!/(n - r)!

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

9P2 = 9!/(9 - 2)!

Evaluate the expression

9P2 = 72

Hence, the number of ways they can arrange themselves is 72

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Can someone please help me

Answers

The height of point A is 0 feet. However, this is not the actual height of point A, as it is at the highest point on the Ferris Wheel, which is 185 feet as calculated previously.

How to solve

The height of point A on the Ferris Wheel can be calculated using the sine function, as it is the vertical component of the point's position. The center of the Ferris Wheel is 100 feet off the ground, and its radius is 85 feet.

Let's denote the height of point A as h_A, which is the vertical distance from the center of the Ferris Wheel to point A.

Since point A is at the 0 radian position, it is at the highest point on the Ferris Wheel. At this point, the height of point A is equal to the sum of the radius and the center's height:

h_A = radius + center's height

h_A = 85 + 100

h_A = 185 feet

So, the height of point A off the ground is 185 feet.

To estimate the value of h_A using the sine function, we can use the fact that at any given angle θ on the unit circle, the height of the point on the circle is given by the sine of that angle multiplied by the radius. In this case, since point A is at the highest point on the Ferris Wheel, we can use the sine of 0 radians (which is 0) to estimate the height of point A:

h_A = radius * sin(0)

h_A = 85 * 0

h_A = 0

So, using the sine function, we estimate that the height of point A is 0 feet. However, this is not the actual height of point A, as it is at the highest point on the Ferris Wheel, which is 185 feet as calculated previously.

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x²+x-72=0 rewrite the equation by completing the square

Answers

The solution of the equation written by completing square is (x + 1/2)² = 289/4.

What is completing square?

In algebra, the process of "completing the square" is used to transform a quadratic expression into a perfect square trinomial. Using this method, a constant term is either added or subtracted from the quadratic expression to produce a perfect square trinomial that may be factored as the square of a binomial. Solving quadratic equations, locating the vertex of a parabola, and simplifying formulas with square roots all involve the completion of the square.

The value of the equation x² + x = 72 can be written as a completer square by taking half of the coefficient of the x-term.

(1/2)² = 1/4

Add this to both sides of the equation:

x² + x + 1/4 = 72 + 1/4

Now, the LHS is:

(x + 1/2)² = 289/4

x = -1/2 ± (17/2)

Hence, the solution of the equation written by completing square is (x + 1/2)² = 289/4.

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Simplify the expression.
2e + tr + 4y + e - y + tr

Answers

Answer:

3e + 3y + 2tr

Step-by-step explanation:

2e + tr + 4y + e - y + tr

=> (2e + e) + (tr + tr) + (4y - y)

=> 3e + 2tr + 3y

=> 3e + 3y + 2tr

Answer:  The answer is 3e + 3y - 2tr

Step-by-step explanation:

          2e + tr + 4y + e - y + tr

         =(2e + e) + (tr + tr) + (4y- y)

         =3e + 2tr + 3y

         =3e + 3y +2tr

Danielle likes to purchase items at estate sales, clean them up, then resale them online for a profit. She recently purchased an antique dresser with a mirror at an estate sale, cleaned it up, and advertised it for 250% of her purchase price. Danielle sold the dresser for $255, which was 15% less than the advertised price.

To the nearest whole dollar, how much did Danielle purchase the antique dresser for and what was her initial advertised price?

A. purchase price: $120, advertised price: $300
B. purchase price: $108, advertised price: $270
C. purchase price: $130, advertised price: $325
D. purchase price: $117, advertised price: $293

Answers

The purchase price of the anitque dresser purchased by Danielle is $120 and the advertised price is $ 300 after which it was sold on profit of $255. Correct answer:optionA

What is profit?

The extra money is left after paying your business expenses is your profit. Gross profit, operating profit, and net profit are the three primary types of profit. The cost foundation for determining profit or loss when selling a product is the price the buyer pays at the time of purchase, known as the purchase price. The price of a product as advertised for marketing purposes is known as the marketed price.

Let us consider the purchase price of antique dresser with mirror= p

Given that the advertised price= 250% of her purchase price

                                                  =[tex]\frac{250}{100}[/tex] of p

                                                   =[tex]\frac{250}{100}[/tex] p

                                                   =[tex]\frac{250 p}{100}[/tex]

Also given that the selling price which was 15% less than advertised price= $255

advertised price - 15% of advertised price =$255

                                   [tex]\frac{250 p}{100}[/tex] - 15% of  [tex]\frac{250 p}{100}[/tex]       =$255

                                    [tex]\frac{250p}{100} - \frac{15}{100} of \frac{250p}{100}[/tex]       =$255

                                             [tex]\frac{250p}{100} - \frac{3750p}{10000}[/tex]      =$255

                                                 [tex]\frac{250p}{100} - \frac{375p}{1000}[/tex]    =$255

                                                  [tex]\frac{2500p - 375p}{1000}[/tex]     =$255

                                                      [tex]\frac{2125p}{1000}[/tex]         =$255

                                                                  p  = [tex]\frac{255 (1000)}{2125}[/tex]

                                                                  p  = $120

The purchasing price is $120

Advertised price =[tex]\frac{250 p}{100}[/tex]

                           = [tex]\frac{250(120)}{100}[/tex]

                           = 25 x 12

                            = $ 300

The Advertised price  is $ 300

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A sample contains 25 cells. The number of cells quadruples every hour. Does this represent an exponential function? Why or why not?

Answers

Yes, this represents an exponential function.

What is exponential function  ?

The exponential growth or decay of a given collection of data is done using an exponential function, which is a mathematical function.

Because the growth rate is inversely correlated with the function's present value, this function is exponential. Regardless of how many cells were present the previous hour the number of cells is multiplied by the same factor of 4 every hour.

Therefore, One can estimate the number of cells for every hour x by evaluating the function at a specific value of x. The function f(x) = 4x implies exponential growth.

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New center 13 has just released tomorrow’s weather forecast high temperature is 74° and the low temperature is have that of the high temperature. What is the low temperature

Answers

If the  high temperature is 74° and the low temperature is have that of the high temperature then low temperature is 37°

Given that New center 13 has just released tomorrow’s weather forecast high temperature is 74°

High temperature = 74°

The low temperature is have that of the high temperature

Low temperature =1/2× High temperature

=1/2×74

=37

Hence, If the high temperature is 74° and the low temperature is have that of the high temperature then low temperature is 37°

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Please answer this question, I’ll give brainliest and no chatgpt please!!

Q5. If you heat a 0.45 kg sample of an unknown substance to a temperature of 80 °C then quickly transfer it into a beaker that contains 0.70 kg of water at 15 °C (the specific heat capacity of the water is 4200 J/kg: C), the highest temperature that the sample and water will attain is 21 °C. What is the heat capacity of the sample? [4 marks]

Answers

We can use the principle of conservation of energy to solve this problem. The heat gained by the water will be equal to the heat lost by the sample, so we can set up the equation:

Qwater = Qsample

where Qwater is the heat gained by the water, and Qsample is the heat lost by the sample. The heat gained by the water can be calculated using the formula:

Qwater = mwater * cwater * ΔT

where mwater is the mass of water, cwater is the specific heat capacity of water, and ΔT is the change in temperature of the water. The heat lost by the sample can be calculated using the formula:

Qsample = msample * csample * ΔT

where msample is the mass of the sample, csample is the heat capacity of the sample, and ΔT is the change in temperature of the sample.

We know the values of mwater, cwater, ΔT, msample, and ΔT. We can substitute these values into the equation and solve for csample:

mwater * cwater * ΔT = msample * csample * ΔT

csample = mwater * cwater / msample

csample = 0.70 * 4200 / 0.45

csample = 6533.33 J/kg: C

Therefore, the heat capacity of the sample is 6533.33 J/kg: C.

Let f(x) = x² - 3. Let g(x) = (x + 2)² - 5. Select all statements below that describe the transformation of f(x) to g(x).

Answers

The vertex of g(x) is translated left by 2 units and down by 5 units compared to the vertex of f(x).

The shape of the parabola for g(x) is the same as the shape of the parabola for f(x).

The axis of symmetry for g(x) is the same as the axis of symmetry for f(x).

The minimum point of g(x) is lower than the minimum point of f(x).



The function g(x) is obtained from f(x) by the following sequence of transformations:

1. A horizontal shift left by 2 units (x + 2).
2. A vertical shift down by 5 units (-5).
3. A vertical stretch by a factor of 1 (the squared term does not change the stretch factor).
4. A reflection about the x-axis (the negative sign in front of the 5).

Therefore, the correct statements are:

- A horizontal shift left by 2 units.
- A vertical shift down by 5 units.
- A reflection about the x-axis.

Solve for x.
A) 6
B) 9
9)
D)
15
4
3
5

Answers

The value of x in the given chords is determined as 9.

What is the measure of x?

The measure of length x is calculated by applying the following formula.

Based on the angle of intersecting chord theorem, we will have the following equation.

3 (3 + x ) = 4 ( 4 + 5 )

9 + 3x = 36

collect similar terms ang solve for x;

3x = 36 - 9

3x = 27

divide both sides of the equation by 3;

3x/3 = 27/3

x = 9

Thus, the value of x in the given chords is determined by applying chord theorem.

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which ones is a function and not a function

Answers

Answer:

No,No,No,Yes,No,Yes

Step-by-step explanation:

Caris has a carton of 12 eggs, two of which have brown shells while the rest have white shells. Caris randomly chooses a brown egg from the carton.

Answers

Answer:

The probability of choosing a brown egg from the carton is 2/12 or 1/6. This is because there are two brown eggs in the carton and a total of twelve eggs, so the probability of choosing a brown egg is 2/12 or 1/6.

The figure on the right is a scaled copy of the
figure on the left.
V
U
W
T
H
I
G
J

Answers

The side  GJ  in the big one corresponds to the side  WT  in the small one.

It's not possible to find the scale factor between the two drawings, because there's no numerical information given to show us the relationship between any pair of corresponding sides.  (This information is probably there in the book or on the homework sheet you copied the problem from, but for some strange reason, you didn't include it in what you decided to show us.)

URGENT!! ILL GIVE BRAINLIEST! AND 100 POINTS

Answers

The probabilities for this problem are given as follows:

Purchase price less than $20,000, repair cost less than $10,000: 45.74% -> about 46%.Repair costs less than $10,000, purchase cost more than $40,000: 20.3 -> about 20%.

How to calculate a probability?

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.

The number of cars with purchase prices less than $20,000 is given as follows:

86 + 67 + 35 = 188.

Of those 188 cars, 86 had repair costs less than $10,000, hence the probability is given as follows:

p = 86/188

p = 0.4574.

The number of cars with repair costs less than $10,000 is given as follows:

86 + 71 + 40 = 197.

Of those, 40 had a purchase price of more than $40,000, hence the probability is given as follows:

p = 40/197

p = 0.203.

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URGENT!! ILL GIVE
BRAINLIEST! AND 100 POINTS

Answers

Answer:

The correct frequency table is table c.

URGENT!! ILL GIVE
BRAINLIEST! AND 100 POINTS

Answers

The final counts are:

58 students interested in athletics but not academic clubs, 118 students interested in academic clubs but not athletics, 96 students not interested in academic clubs,  156 students not interested in athletics.

How to solve

Given a survey of 240 students, 35% of students were interested in athletics, which is equal to 84 students.

3/5 of students were interested in academic clubs, which is equal to 144 students.

26 students were interested in both athletics and academic clubs.

Using this information, we can fill in the remaining cells of a table to show the number of students in each category.

The final counts are:

58 students interested in athletics but not academic clubs, 118 students interested in academic clubs but not athletics, 96 students not interested in academic clubs,  156 students not interested in athletics.

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Is 8.005 kilometers or 8.7 kilometers the longest?

Answers

8.7 kilometers is longer than 8.005 kilometers.

Answer:

8.7 is longer than 8.005

Step-by-step explanation:

There are 19 Keurig pods in the green basket next to the Keurig machine. Maddy, Charlie, and Ben each want coffee. There are five Donut Shop, six Swiss Miss hot chocolate, and 7 Breakfast Blend flavors. Maddy and Charlie each grabbed one Donut Shop pod and two Swiss Miss pods. What is the probability that Ben will get the Donut Shop pod after Maddy or Charlie’s selection?

Answers

The probability that Ben will get the Donut Shop pod after Maddy or Charlie's selection is 3/17.

We know that, probability of an event = Number of favorable outcomes/Total number of outcomes

There are 5 Donut Shop pods and Maddy and Charlie each took 2, leaving 3 Donut Shop pods in the green basket.

There are 17 pods left in the basket after Maddy and Charlie's selection (5 Donut Shop, 6 Swiss Miss, and 6 Breakfast Blend), so the probability that Ben will get the Donut Shop pod is 3/17.

Therefore, the probability that Ben will get the Donut Shop pod after Maddy or Charlie's selection is 3/17.

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A student claims that all squares are congruent to each other. is this true or false?

Answers

Answer: False.

Step-by-step explanation:

Squares have to have the same shape and size to be congruent. Therefore, not all squares are congruent, since not all of them are the same size. ... This means that they have the same shape, although not necessarily the same size.

6th grade math whats the surface area

Answers

Answer:

416

Step-by-step explanation:

The front and back are triangles

a = 1/2 bh

a = 1/2(12)(8)

a = 48

We times this by 2 to find the front and the back.

96

Bottom

a = lw

a = 10 x 12

a = 12

120

Right and left sides

a = lw

a = 10 x10 = 100

Multiply this by 2 to find the right and the left sides.

200

Add the numbers together:

96 + 120 + 200 = 416

Helping in the name of Jesus.

To find the surface area of a three-dimensional object, you need to add up the area of all its faces.

This can be done using formulas specific to the shape of the object. For example, the surface area of a rectangular prism (a box) can be found using the formula SA = 2lw + 2lh + 2wh, where l, w, and h represent the length, width, and height of the box, respectively. Other common three-dimensional shapes include spheres, cones, and cylinders, each with their own unique formulas for finding surface area. So, to answer your question, I would need to know what specific object you are referring to in order to provide an accurate answer about its surface area.

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chenango industries uses 10 units of part jr63 each month in the production of radar equipment. the cost of manufacturing one unit of jr63 is the following: W is not a subspace of the vector space. Verify this by giving a specific example that violates the test for a vector subspace (Theorem 4.5).W is the set of all vectors in R3 whose components are nonnegative. Question 1-8Figure 1 shows the average global sea surface temperatures from 1880-2015. Due to this change in temperature we have seen sea levels rise and the distribution of many marine species shift. Which of the following describes this change?Temperature anomaly (F)2.01.51.00.50-0.5-1.0-1.3Average Global Sea Surface Temperature, 1880-201518801971-2000 averageW190019201940wwwYear19601980The ocean has a significant influence on climate change because it absorbs heat.The sean has a significant influence on climate change because it can dissolve many solutes.FIGURE 12000The ocean has a significant influence on climate change because it provides a habitat for many species.OThe ocean has a significant influence on climate change because water has a high specific heat capacity.2020 If a high altitude balloon is filled with 14,100 L of hydrogen at a temperature of 21 degrees celsius and a pressure of 0.98 atm. What's the volume of the balloon at a height of 20 km, where the temperature is -48 degrees celsius and the pressure is 0.08 atm? The consequences of study burning out a concept used in designing that allows complexity to be factored out so that a few important details or concepts can be focused on at any point in time. Refer back to the Learning Activities titled A Formula for Permutations and A Formula for Combinations. Explain how the Fundamental Counting Principle is used each time the Permutation Formula (nPr) or the Combination Formula (nCr) is applied. Would these be considered independent or dependent events? Or, is it inappropriate to be concerned about whether it is independent/dependent? Explain your thinking on the question. contact angle measurement is a way of directly examining the hydrophobicity of a substrate.a. true b. false environmental liabilities are valued using present value-based measurements. true false The values of the components in the circuit are L = 145 mH, R1 = 370 ?, R2 = 400 ?, and= 10.0 V. Use downward as the positive direction for all currents. Find...(a) immediately after the switch is closed (after being open a long time)......the current through the inductorIL =...the current through R2I2 =(b) a long time after the switch has been closed......the current through the inductorIL =...the current through R2I2 =(c) immediately after the switch is open (after being closed a long time)......the current through the inductorIL=...the current through R2I2 =(d) a time 4.712e-04 s after the switch is open.......the current through the inductorIL =...the current through R2I2 = find the differential of the function w=x3sin(y6z3) The standard enthalpy change for the following reaction is 656 kJ at 298 K.2 KI(s) 2 K(s) + I2(s) H = 656 kJWhat is the standard enthalpy change for this reaction at 298 K? K(s) + 1/2 I2(s) KI(s)_____kJ which of the eight reasons for new-product failure did gopro avoid to ensure the success of its products?1. insignificant point of difference2. no economical access to buyers3. incomplete market and product protocol before product development starts4. not satisfying customers on critical factors5. bad timing6. poor product quality7. too little market attractiveness8. poor execution of the marketing mix An investment will pay you $65,000 in 10 years. If the appropriate discount rate is 7 percent compounded daily, what is the present value? Future value of investment $ 65,000Number of years 10Discount rate 7%Times compounded per year 365 Complete the following analysis. Do not hard code values in your calculations. Your answer should be positive. Present value of investment _____ Robertson Company exchanged a machine for some land. The machine had cost $17,000, was 70% depreciated, and could be sold for $4,500. Robertson paid $950 in addition to giving up the machine.Required:Compute the amount at which the land should be recorded and the amount of gain or loss on theexchange.Assume, instead, that Robertson exchanged the machine for a new, more efficient machine with a fair valueof $4,700, while still paying $950 as before. Compute the gain or loss that would be recorded on the saleof the old machine by Roberto. ompute the following values of (X, B), the number of B-smooth numbers between 2 and X (see page 150). (a)(25,3) (b) (35, 5) (c)(50.7) (d) (100.5) (e) (100,7) A rectangular prism has alength of 4 in., a width of 2in., and a height of 2 in.The prism is filled with cubesthat have edge lengths of11/123 in.How many cubes are neededto fill the rectangular prism? Please help!! Quick Pursuant to a complete liquidation, Carrot Corporation distributes to its shareholders real estate held as an investment (basis of $1,325,200, fair market value of $1,722,760).a. Determine the gain or loss recognized by Carrot on the distribution if no liability is involved. If no liability is involved, Carrot has a (gain/ loss) of $????? on the distribution.b. Determine the gain or loss recognized by Carrot on the distribution if the real estate is subject to a liability of $1,457,720. If the real estate is subject to a liability of $1,457,720, Carrot has a (gain/ loss) of $????? .c. Determine the gain or loss recognized by Carrot on the distribution if the real estate is subject to a liability of $1,855,280. If the liability were $1,855,280, Carrots(gain/ loss) on the distribution would be $ ?????. what is the remainder when 7 8 9 15 16 17 23 24 25 43 is divided by 11? If a1 = 8 and an=2an-1 + n then find the value of a3.