What are the constant terms in the expression? 8m−5n+2+m−148m−5n+2+m−14 Drag and drop the constant terms into the box.

Answer:

True!

Step-by-step explanation:

Answer:

The common difference is [tex]11[/tex]

Step-by-step explanation:

we know that

In an Arithmetic Sequence the difference between consecutive terms is a constant called the common difference

so

In this problem we have

[tex]-15,-4,7,18,29,...[/tex]

Let

[tex]a1=-15\ a2=-4\ a3=7\ a4=18\ a5=29[/tex]

Find the difference between consecutive terms

[tex]a5-a4=29-18=11[/tex]

[tex]a4-a3=18-7=11[/tex]

[tex]a3-a2=7-(-4)=11[/tex]

[tex]a2-a1=-4-(-15)=11[/tex]

therefore

The sequence is an Arithmetic Sequence

The common difference is [tex]11[/tex]

The hourly profit of an airline operating a plane can be calculated by subtracting the operating cost from the revenue earned from passengers.

The hourly profit of an airline operating a plane can be expressed as the difference between the revenue earned from passengers and the operating cost of the plane.

The revenue earned from passengers can be calculated by multiplying the fare per passenger by the number of passengers. In this case, the fare is $100 per hour of flight, and the number of passengers is represented by x.

The operating cost of the plane is given as $3770 per hour.

Therefore, the hourly profit P can be expressed as:

P = (fare per passenger) * x - (operating cost of the plane)

Substituting the given values:

P = $100 * x - $3770

Answer:

Step-by-step explanation:

Answer choice is B) 3

Answer:

5720.59

Step-by-step explanation:

I know it's correct

The rule for g(f(x)) is 8x + 14, and the rule for f(g(x)) is 8x + 7.

The rule for g(f(x)) is that we first substitute f(x) into g(x), meaning we replace x in the g(x) rule with the expression for f(x). Using the given functions, g(f(x)) = g(4x + 7) = 2(4x + 7) = 8x + 14.

Similarly, the rule for f(g(x)) is that we first substitute g(x) into f(x), meaning we replace x in the f(x) rule with the expression for g(x). Using the given functions, f(g(x)) = f(2x) = 4(2x) + 7 = 8x + 7.

To find 62% of what number equals 89.3, divide 89.3 by the decimal form of 62%, which is 0.62, to get 144.03 (rounded to two decimal places).

The student's question '62% of what is 89.3?' is asking for the calculation of a base amount from a known percentage and a known result of that percentage. To find the answer, we divide the known result by the percentage in decimal form.

The equation we use is: Base = Percentage Result ÷ Decimal Percentage

Firstly, we convert 62% into decimal by dividing by 100, which equals 0.62. Then we divide the known result, 89.3, by 0.62:

Base = 89.3 ÷ 0.62 = 144.03225806451613

So, 62% of 144.03 (rounded to two decimal places) is 89.3.

Final answer:

The student's question involves finding the original whole given a part and its percentage. The calculation shows that 62% of 144.03 is 89.3.

Explanation:

The student is asking how to find the original whole when given a percentage and the corresponding part of that whole. To find the whole when you know a percentage of it and the actual amount that percentage represents, you can use the formula:

Whole = Part / (Percentage / 100). In this case, the part is 89.3 and the percentage is 62%. So, you calculate the whole by dividing 89.3 by 0.62 (which is 62% converted to a decimal by dividing by 100).

Here’s the step-by-step calculation:

Therefore, 62% of 144.03 is equal to 89.3.

A prime number must be greater than 1 because by definition, a prime number has exactly two distinct positive divisors: 1 and the number itself. If a number is less than or equal to 1, it cannot be prime.

The statement that a prime number is always greater than 1 is indeed true. A prime number is defined as a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers. If a number is less than or equal to 1, it cannot be prime because the prime numbers must be greater than 1 to have at least two distinct positive divisors (1 and the number itself).

For example, the first few prime numbers are 2, 3, 5, 7, 11, and 13. Each of these numbers is greater than 1 and cannot be divided evenly by any number other than 1 and itself. By contrast, the number 1 is not considered a prime because it has only one positive divisor, which is 1 itself. Since primes must have exactly two distinct divisors, 1 does not meet this criterion.

Answer: The answers should be ( 2, 1)

(1, 3)

Answer:7+(-3.0^2)

7+0

7

Step-by-step explanation:

The starting amount would be the 750, because it doesn't have a variable assigned to it.

And, Change per week is 30 since it is being multiplied by the number of weeks.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Let y represent the total amount of money in the account (in dollars).

And, Let x represent the number of weeks Mary has been adding money.

Here, Suppose that x and y are related by the equation;

⇒ y = 750 + 30x

Now, Clearly for the starting amount money in the account we can put x = 0 in above equation;

⇒ y = 750 + 30 × 0

⇒ y = $750

And, The change per week in the amount of the account is 30 which is being multiplied by the number of weeks.

Learn more about the mathematical expression visit:

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Answer: A toad population is increasing by about 7.5% each year.

An event organizer finds each year's attendance for the past five years is about 4/5 of the previous year's attendance.

Step-by-step explanation:

On the highway, Kareem's car gets 38 mpg.

This can be modeled with a linear relationship between the miles and the gallons of fuel needed.

Shu Fang has $25.75 deducted from her checking account every month.

Here we know that each month a constant amount is deducted from her, this is not an exponential relation.

A toad population is increasing by about 7.5% each year.

If the population initially was an amount P, after one year the population is P*1.075, after two years the population is P*(1.075)^2 and so on, this can be modeled with an exponential function where the years variable, the function will have the general form:

Population(y) = P*(1.075)^y

An event organizer finds each year's attendance for the past five years is about 4/5 of the previous year's attendance.

If the first year the population is X, the year after the attendance will be (4/5)X, and the year after this process applies again, so you have a 4/5 of the previous attendance, the attendance now is (4/5)^2*X

This also can be modeled with an exponential function, of the shape:

Attendance (y) = X*(4/5)^y, where again, y means years.

The thing you may notice is that in this case the model only works for the lapse of 5 years that the event organizer said.

Answer: the correct answer would be 2498.4 km/h

*i got this question correct*

Answer:

Answer is b

Step-by-step explanation: