An airplane is preparing to land at an airport. It is 55800 feet above the ground and is descending at the rate of 3,500 feet per minute. At the same​ airport, another airplane is taking off and will ascend at the rate of 2,700 feet per minute. When will the two airplanes be at the same altitude and what will that altitude​ be? Use pencil and paper. Use two other methods to solve the problem. Explain which methods are easier to use and which are more difficult to use for the situation.

Answer:

f(20) = 10

Step-by-step explanation:

The parking cost is the function of the amount of time the car is parked and for 1 hour the cost of parking is $3 with a maximum amount of $12 for parking. The correct statements are C and D.

A function is a relationship between the dependent and independent variables. The independent variables are function inputs, while the dependent variables are function outputs. The value of a dependent variable is determined by the input.

Here in the graph, the cost of parking is varying with time. It means that the cost of parking is dependent on the time of parking but the maximum amount for parking is $12 for any number of hours of car parking.

Hence, the correct statements are C and D.

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Answer:

Step-by-step explanation:

35/90 gets devided by 5

7/18

3/36 gets devided by 3

1/12

Answer:35/90 = 7/18

            3/36=1/12

Step-by-step explanation:

for 35/90 you divide both sides by 5 giving you 7/18 and 3/36 you divde both by 3 giving you 1/12.

Hope this helped

The scale factor, if The original photo is 4 inches by 6 inches, and the new photo is 3 yards by 4.5 yards, is 1.8.

The ratio of one object's scale to that of a new object, which has its representation but is larger, is known as a scale factor (bigger or smaller).

Given:

The original photo is 4 inches by 6 inches, and the new photo is 3 yards by 4.5 yards,

Calculate the scale factor as shown below,

Scale factor = Original dimension / new dimension

Scale factor = (4 × 6) / (3 × 4.5)

Scale factor = 1.8

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Answer: 157.14

Step-by-step explanation: SDHU IK

Number of years since 2003 x=5 years and number of jobs in thousand y=288.

In this method two equation are added or subtracted depending on the sign of variables. After adding or subtracting we create a new equation with one variable. Therefore, we easily get the solution.

while using addition method of algebra, we either add or subtract two equations to obtain a new equation by eliminating one variable. Hence, this method is called elimination method.

Given equation, 7.4x-y= -254

                         12.4x-y = -231

          using addition method

                -5x= -23

                  after solving x=4.6

            x= 5 (nearest whole number)

                     y = 288.04

                y =288

   hence, number of years 5

 number of jobs in thousand =288

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The best option is to Convert it to a decimal and multiply is the best way to describe rate in simple interest formula. The correct option is A.

Simple interest is a quick and simple formula for figuring out how much interest will be charged on a loan. The daily interest rate, the principal, and the number of days between payments are multiplied to calculate simple interest.

Simple Interest (S.I.) is a method for figuring out how much interest will accrue on a specific principal sum of money at a certain rate of interest. For instance, if someone borrows Rs. 5000 at a rate of 10 p.a. for two years, they will pay S.I. on the borrowed money for those two years.

Therefore, if you are a borrower, the interest rate is the sum you pay for borrowing money and is expressed as a percentage of the overall loan amount. The correct option is A.

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Answer:

c = 14

Step-by-step explanation:

V = 20,000 * 0.81^2 and V = 20,000 * (1 - 0.19)^2 are the equation(s) that represent the exponential relationship.

The value of the car two years later is represented by the variable V. The initial value of the car is represented by the constant 20,000. The relationship between the value of the car two years later and the initial value of the car is exponential, because the value of the car decreases by a fixed percentage each year.

One equation that represents this relationship is:

V = 20,000 * 0.81^2

This equation says that the value of the car two years later is equal to the initial value of the car multiplied by the decay factor of 0.81 raised to the power of 2. The decay factor represents the percentage by which the value of the car decreases each year.

Another equation that represents this relationship is:

V = 20,000 * (1 - 0.19)^2

This equation says that the value of the car two years later is equal to the initial value of the car multiplied by (1 - 0.19) raised to the power of 2. The term (1 - 0.19) represents the percentage by which the value of the car remains after it has depreciated.

Both of these equations represent the exponential relationship between the value of the car two years later and the initial value of the car.

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Answer:

0.41 years

Step-by-step explanation:

940 hours is equivalent to 0.41 years. When rounded to the nearest hundredth, that would be 0.00 years. It is not possible to convert hours directly to years because they are different units of time measurement. Years are a measure of the time it takes for the Earth to orbit around the Sun, while hours are a measure of time within a day. To convert hours to years, you would need to know the number of hours in a year, which can vary depending on the number of days in the year and the number of hours in a day.

Answer:

Hi!

I think the answer you might be looking for is 0.11

I hope this helped you :)

Answer: Mode: 180

Quartiles:

Q1 --> 149

Q2 --> 165.5

Q3 --> 178

Mean: 162.944....

Median: 165.5

Step-by-step explanation:

The slope of the linear relationship is 15.

Slope is the inclination of a line with respect to the horizontal is measured numerically. The ratio of the vertical to the horizontal distance between any two points on a line, ray, or line segment is known as its slope in analytic geometry ("slope equals rise over run"). The slope of a line tangent to a function's graph in differential calculus is determined by the derivative of that function and serves as a representation of the function's instantaneous rate of change with regard to changes in the independent variable. The slope of a tangent line in the graph of a position function, which plots the distance travelled by an object against the passage of time, corresponds to the object's instantaneous velocity.

Given

A linear relationship is given.

y₁ = -9

y₂ = 6

x₁ = 0

x₂ = 1

Slope:

m = y₂ - y₁/x₂ - x₁

m = 6 + 9/1 - 0

m = 15/1

m = 15

The slope of the linear relationship is 15.

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Answer:

Slope = 15

Step-by-step explanation:

Now we have to,

→ find the slope of linear relationship.

Formula we use,

→ Slope(m) = (y2 - y1)/(x2 - x1)

Coordinates we use from table,

→ x1 = 0, y1 = -9

→ x2 = 1, y2 = 6

Then the required slope will be,

→ m = (y2 - y1)/(x2 - x1)

→ m = (6 -(-9))/(1 - 0)

→ m = (6 + 9)/1

→ m = (15)/1

→ [ m = 15 ]

Hence, the required slope is 15.

The true statements about the circle are

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

x² + y² - 2x - 8 = 0

Generally, To convert this equation to standard form, we need to complete the square.

First, we can rearrange the terms on the left-hand side of the equation so that all the x terms are together and all the y terms are together:

x² - 2x + y² - 8 = 0

Then, we need to add and subtract a value that allows us to rewrite x² - 2x term as a perfect square.

To do this, we take half of the coefficient of the x term (which is -2), square it, and add it to both sides of the equation:

So, we have

x² - 2x + (1²) + y² - 8 = 0 + (1²)

Evaluate

(x - 1)² + y² - 8 = 1

Finally, we can rearrange the terms

So, we have

(x - 1)² + y² = 9

Express 9 as the square of 3

(x - 1)² + y² = 3²

So, the standard form of the equation is (x - 1)² + y² = 3²

The standard equation of a circle is represented as

(x - a)² + (y - b)² = r²

Where

Center = (a, b)

Radius = r

When these equations are compared, we have

Center = (a, b) = (-1, 0)

Radius = r = 3

The point (-1, 0) lies on the x-axis

This means that the center is on the x-axis.

Also, it means that the radius of the circle is 3 units

This radius is the same for a circle that has the form x² + y² = 9

This is so because 9 can be expresses as the square or 3, and r = 3

Hence, the correct statements are (a), (b) and (e)

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Complete Question

Consider a circle whose equation is x2 + y2 – 2x – 8 = 0. Which statements are true?

Select three options.

The proportion we get is 0.291 and that matches up with our first choice that we see.

A proportion simply means the amount or quantity of a thing present in another thing taken as whole.

The main purpose of stating stuff in proportions is to compare shares. If 2 people receive shares in a 1:1 proportion, it means they have exactly equal shares. If 2 people invest in something and one partner invests $3 for every $2 the other invested, the major partner would expect the profits to be divided 3:2 in their favor.

This issue informs us that a town's residents were polled by an elected official to see how satisfied they were with the town's services. Both homeowners and renters were included in the survey. The following charts show the percentage of respondents that are unsatisfied with city services. In order to calculate the percentage of surveys with low satisfaction, we only need to consider the third column to the right, which is labeled "low satisfaction," and the number we are interested in is the 1, which corresponds to the row labeled "total," because it represents the total number of survey respondents who have low satisfaction, whether or not they are home owners or renters. This number is 23 points.

But that only represents the whole population of those with low levels of satisfaction. We can find the total number of respondents in the cross section between the total column and the total row, giving us 110 points. We wish to multiply that total for the low level by the entire number of respondents. Therefore, if we want that proportion right away, we need divide 23 by 110 points. When we round off to four decimal places, the result is 0.291, which corresponds to our initial option that we see.

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Answer:

A - 0.2091

Step-by-step explanation:

I took it

If 87. 5 percent of a sample of pure 131 I decays in 24 days, then the half-life of 131 i is 8 days.

In this question we have been given 87.5 percent of a sample of pure 131i decays in 24 days

We need to find the the half-life of 131i

We know that the rate constant expression is given as :

k = (2.303/t)*(log (a / a-x))

where, t = 24 days

a = 100

a -x = 100 - 87.5

      = 12.5 g

From the rate constant expression,

k = (2.303 / 24) * (log(100/12.5))

k = 0.0866

Now, the half life is given as :

k = 0.693 / t(1/2)

t1/2 = 0.693 / 0.0866

t1/2 = 8 days.

Therefore, the half-life of 131 i is 8 days.

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P(X=12) is the needed probability. P ( X = 12 ) . There is a 0.0042 percent chance that all 12 of them will use their smartphones during courses or meetings.

The possibility or likelihood of an event occurring is expressed numerically as probability. Probabilities are expressed as ratios (0 to 1) and percentages (0 to 100). It is founded on the likelihood that something will occur. The theoretical probability is built on the fundamental principle of probability justification. For instance, there is a 12 percent chance of receiving heads while flipping a coin.

P(X=12) is the needed probability. P ( X = 12 ) . There is a 0.0042 percent chance that all 12 of them will use their smartphones during courses or meetings.

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Answer:

• Statement of the given problem,

⚫ A man spends 70% of his income and saves Rs. 2550. What is his income?

According to above data,

⚫ the required income of the

given man

= 2550/(1 - 70/10)

☐ = 2550/0.30

= 8,500 (Rs) [Ans]

Answer:

the answer is g = (7 - 3e) / (4 - 9e)

Step-by-step explanation:

The subject of an equation is the value or values being solved for. An equation typically consists of two parts: an expression on the left side of an equal sign and an expression on the right side of the equal sign.

The given equation subject of equation is 3e + 4g = 7 + 9eg

Subtraction of 9eg from both sides of the equation

3e + 4g - 9eg = 7 + 9eg - 9eg

3e + 4g - 9eg = 7

Subtract 3e on both sides of the equation

3e + 4g - 9eg - 3e = 7 - 3e

4g - 9eg = 7 - 3e

Factorize g on left side of the equation,

g (4 - 9e) = 7 - 3e

Then divide (4 - 9e) on both sides of the equation,

g = (7 - 3e) / (4 - 9e)

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The value of x is 91/9.

What is the value of X triangle?

The two angles' combined angles are subtracted from 180 degrees. A triangle's total angles are always equal to 180 degrees. When you remove the total of the two angles from 180 degrees, note the difference you discovered. This is what X is worth. The algebraic expression should often take one of the following forms: addition, subtraction, multiplication, or division. Bring the variable to the left and the remaining values to the right to determine the value of x. To determine the outcome, simplify the values.

(9x+1)+ 88

Remove parentheses: (a)=a

9 x+1+88=180

Add the numbers: 1+88=89

9 x+89=180

Move 89 to the right side

9 x=91

Divide both sides by 9

[tex]\frac{9 x}{9}=\frac{91}{9}$$[/tex]

Simplify

[tex]x=\frac{91}{9}$$[/tex]

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Answer:

  x = 5

Step-by-step explanation:

You want the value of x where one of the base angles in an isosceles triangle is marked (9x+1)° and the vertex angle is marked 88°.

Each base angle of an isosceles triangle is the complement of half the vertex angle. This one is ...

  9x +1 = 90 -(88/2)

  9x = 45 . . . . . . . . . . subtract 1

  x = 5 . . . . . . . . . divide by 5

The inequality is [tex]115\leq x\leq 495[/tex]

What is inequality?

A connection is termed an inequality if two real numbers or algebraic expressions are connected by the symbols ">", "<", "≥". Inequality is a mathematical statement that uses the inequality symbol to illustrate the relationship between two expressions. An inequality symbol has non-equal expressions on both sides. It indicates that the phrase on the left should be bigger or smaller than the expression on the right, or vice versa. Literal inequalities are relationships between two algebraic expressions that are expressed using the inequality symbols.

Given [tex]60\leq 0.5x+2.5\leq 250[/tex]

splitting the equation:

[tex]60\leq 0.5x +2.5[/tex] and [tex]0.5x +2.5\leq 250[/tex]

[tex]60-2.5\leq 0.5x\\57.5\leq 0.5x\\115\leq x\\x\geq 115[/tex]

also

[tex]0.5x +2.5\leq 250\\0.5x\leq 247.5\\x\leq 495[/tex]

therefore the equation is

[tex]115\leq x\leq 495[/tex]

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In case A:

The amount to be paid = $41.75

In case B :

The amount to be paid = $41.76

So, the Case A is better option.

Finding the right answer using the round off to nearest hundredth.

How to change any value to it's nearest hundredth ?

Rounding to the nearest hundredth means the rounding of any decimal number to its nearest hundredth value. In decimal, hundredth means 1/100 or 0.01. For example, the rounding of 2.167 to its nearest hundredth is 2.17.

Steps to find nearest hundredth of any value:

Step 1:

Since we need to round the given decimal number to the nearest hundredth, we mark the digit at the hundredths place.

Step 2:

Then, we observe the 'thousandths' place digit, which lies to the right of the hundredths column.

Step 3:

If the digit at the thousandths place is less than 5, we write the hundredths place digit as it is and remove all the digits to its right.

Step 4:

If the digit at the thousandths place is 5 or more than 5, we add 1 to the digit at the hundredths place, that is, we increase the hundredths place by 1 and remove all the digits to its right.

Case A :

The price for each gallon = $3.479

So, the total price for 12 gallon = $41.748

In case A total amount is rounded off

So, the price = $41.75

Case B :

The price for each gallon = $3.479

Rounding off the price for each gallon = $3.48

So, the total amount for 12 gallon = $41.76.

So, the case A is better option.

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Answer:

Step-by-step explanation:7.48521878104

The model to show the cost of the shirt is x+49.95=79.16. Therefore, the cost of shirt is $29.21.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given that, Jeremy spent a total of $79.16 on a shirt and one pair of jeans.

Let the cost of shirt be x.

The jeans cost is $49.95

Now, the cost of shirt + the cost of jeans = Total cost

⇒ x+49.95=79.16

⇒ x=79.16-49.95

⇒ x=$29.21

Therefore, the cost of shirt is $29.21.

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The area of the figure in the first, second, and third cases will be 76 square ft, 120 square cm, and 87.5 square in, respectively.

It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a trapezoid, one pair of opposite sides are parallel.

The area of the trapezoid will be calculated as,

A = 1/2(sum of parallel sides) x height

8. The area of the figure is calculated as,

A = 1/2 (6 + 6 + 7) x 8

A = 76 square ft

9. The area of the figure is calculated as,

A = 1/2 (8 + 4) x 4 + 8 x 12

A = 24 + 96

A = 120 square cm

10. The area of the figure is calculated as,

A = 1/2 (5 + 10) x 5 + 5 x 10

A = 37.5 + 50

A = 87.5 square in

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Answer:

D

Step-by-step explanation:

base area = (6 · 4)/2 = 24/2 = 12 cm²

half base length = 6 : 2 = 3 cm

leg = [tex]\sqrt{3^2+4^2} = \sqrt{9 + 16} = \sqrt{25} = 5[/tex] cm

perimeter = (5·2) + 6 = 10 + 6 = 16 cm

lateral area = 16 · 20 = 320 cm²

surface area = (2 · 12) + 320 = 24 + 320 = 344 cm²

Answer:191

Step-by-step explanation:

65x2=130

130+61=191