how can we express the area of the rectangle in terms of the variable x?

The companies being considered are:

The company that is concerned with corded telephones

The company that is concerned with cellphones

Let x represent the number of years since 2002 and y represent the total number of accounts

From the information given,

Considering the first company,

Initial number of accounts = 946 x 10^6

The number of accounts fell by approximately 28 million per year. This means that in x years, the number of accounts that would have been lost is

28 x 10^6 * x

= - 28x x 10^6

It is negative because it is reducing

The slope intercept form of a linear equation is expressed as

y = mx + c

where

m = rate of change

c = y intercept of value of y when x = 0

By comparing with the given scenario,

Answer:

Perpendicular.

Step-by-step explanation:

Two lines that come together and form 4 angles are known as perpendicular lines.

Answer:

4 7/10

Step-by-step explanation:

Answer:

4 7/10

Step-by-step explanation:

Convirt all the fractions into 1/10ths. Makes addition easy. Hope this helps

Answer: 17.8

Step-by-step explanation:

The solution to the proportion would be x = 17.8 which is the correct option (B).

A ratio is defined as a relationship between two quantities, it is expressed as one divided by the other

Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operations is called the arithmetic operator.

/ Division operation: Divides left-hand operand by right-hand operand

For example 4/2 = 2

We have been the given proportion as:

⇒ 52 : x = 9.5 : 3.25

⇒ 52/x = 9.5/3.25

⇒ 52/x = 2.923

Cross multiplication, and we get

⇒ x = 52/2.923

Apply the division operation,

⇒ x = 17.8

Therefore, the solution to the proportion would be x = 17.8.

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Answer:

6!!!

Step-by-step explanation:

Since both 30 and 42 can both be answered by multiplying 6 by a different number

5 x 6 = 30

7 x 6 = 42

Answer:

\(\frac{11}{15} \)

Step-by-step explanation:

\(\frac{1}{3} \) + \(\frac{2}{5} \)

The least common multiple of 3 and 5 is 15. Convert \(\frac{1}{3} \) and \(\frac{2}{5} \) to fractions with denominator 15.

\(\frac{5}{15} \) + \(\frac{6}{15} \)

Since \(\frac{5}{15} \) and \(\frac{6}{15} \) have the same denominator, add them by adding their numerators.

\(\frac{5+6}{15} \)

Add 5 and 6 to get 11.

\(\frac{11}{15} \)

Hope it helps and have a great day! =D

​

Answer:

6 for $1.26 is better

Step-by-step explanation:

$1.26/6 = $0.21 per can

$1.98/9 = $0.22 per can

The sum of all possible x-coordinates that satisfy the given conditions is 666.

Let's consider two triangles, Triangle A and Triangle B, with areas A and B, respectively. The base of Triangle A is x units long, and its height is y units. Triangle B has a base of y units and a height of x units.

The area of a triangle is given by the formula A = (1/2) * base * height. Therefore, the area of Triangle A is A = (1/2) * x * y, and the area of Triangle B is B = (1/2) * y * x. Since multiplication is commutative, we can simplify the expressions as A = B = (1/2) * x * y.

We are given that A + B = 108. Substituting the values of A and B, we get (1/2) * x * y + (1/2) * x * y = 108. Simplifying the equation, we have x * y + x * y = 216, which further simplifies to 2 * x * y = 216.

To find the sum of all possible x-coordinates, we need to consider the factors of 216. The factors of 216 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, and 216. Since x * y = 216/2 = 108, we can deduce that for each factor of 216, there is a corresponding value of y that satisfies the equation.

The sum of all possible x-coordinates would be the sum of all the factors of 216, which is 1 + 2 + 3 + 4 + 6 + 8 + 9 + 12 + 18 + 24 + 27 + 36 + 54 + 72 + 108 + 216 = 666.

In summary, the sum of all possible x-coordinates that satisfy the given conditions is 666.

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The smaller zero of the quadratic function x² - 6x + 8 is 2.

Quadratic expressions are polynomial expressions which has a degree of 2.

The general form of a quadratic expression is ax² + b x + c.

Here given a quadratic expression,

x² - 6x + 8

We have to find the zeroes of the quadratic expression.

Let x² - 6x + 8 = 0

We have to factorize the expression.

We can factorize this as (x + p)(x + q) such that pq = 8 and p + q = -6.

Two such numbers are -4 and -2.

(x - 4) (x - 2) = 0

⇒ (x - 4) = 0 or (x - 2) = 0

⇒ x = 4 and x = 2

Hence the smaller zero is 2.

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Answer:

2y + 7 = ?

Step-by-step explanation:

2y = -7

2y/2 = -7/2

y = -7/2 or -3.5

Answer:

y=0.25x^2−2x

Step-by-step explanation:

You have to use the disruptive property.

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

two like therms have the same literal part

3x^4 and 6x^4

6x and -8x

-8 and 3

Answer:

3x^4 ↔ 6x^4

6x ↔ -8x

-8 ↔ 3

Step-by-step explanation: i took the test !

The speed of the boat is 22 km/h, and the speed of the stream is 4 km/h.

Let's assume the speed of the boat is B and the speed of the stream is S.

When the boat travels downstream, its speed relative to the shore is (B + S). Therefore, we can set up the following equation:

78 = 3(B + S)

When the boat travels upstream, its speed relative to the shore is (B - S). Therefore, we can set up the following equation:

72 = 4(B - S)

We now have two equations with two unknowns (B and S), which we can solve using algebra. First, let's simplify both equations by dividing both sides by the respective coefficients:

26 = B + S

18 = B - S

We can then add the two equations together to eliminate S:

44 = 2B

B = 22

We can substitute this value of B into one of the earlier equations to solve for S:

26 = 22 + S

S = 4

Therefore, the speed of the boat is 22 km/h, and the speed of the stream is 4 km/h.

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The smallest critical value is 2.898.

Given the sample size, n = 18, the significance level, a = 0.005, and the claim is o > 2.6.

To find the smallest critical value for this hypothesis test, we use the following steps:

Step 1: Determine the degrees of freedom, df= n - 1= 18 - 1= 17

Step 2: Determine the alpha value for a one-tailed test by dividing the significance level by 1.α = a/1= 0.005/1= 0.005

Step 3: Use a t-table to find the critical value for the degrees of freedom and alpha level. The t-table can be accessed online, or you can use the t-table provided in the appendix of your statistics book. In this case, the smallest critical value corresponds to the smallest alpha value listed in the table.

Using a t-table with 17 degrees of freedom and an alpha level of 0.005, we get that the smallest critical value is approximately 2.898.

Therefore, the smallest critical value is 2.898 (rounded to the nearest thousandth).

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Answer:

The point becomes (-7, -3)

Step-by-step explanation:

Take an illustration

Point X is (x, y)

After transformation, is (y, -x)

\({}\)

Answer:

14,18,20

Step-by-step explanation:

Substitute the s in the equation with the value given in the chart for s. So it would be 4 + 12 = 16.

The volume of oil exiting the pipe is approximately 100 cu in/hr, 2,400 cu in/day, and 1.39 cu ft/day when converting cu in/day to cubic feet per day.



To calculate the volume of oil exiting the pipe every hour, you would need to know the flow rate of the oil in cubic inches per hour. Let's assume the flow rate is 100 cubic inches per hour.To find the volume of oil exiting the pipe every day, you would multiply the flow rate by the number of hours in a day. There are 24 hours in a day, so the volume of oil exiting the pipe every day would be 100 cubic inches per hour multiplied by 24 hours, which equals 2,400 cubic inches per day.

To convert the volume from cubic inches per day to cubic feet per day, you would need to divide the volume in cubic inches by the number of cubic inches in a cubic foot. There are 1,728 cubic inches in a cubic foot. So, dividing 2,400 cubic inches per day by 1,728 cubic inches per cubic foot, we get approximately 1.39 cubic feet per day.

Therefore, the volume of oil exiting the pipe is approximately 100 cubic inches per hour, 2,400 cubic inches per day, and 1.39 cubic feet per day.

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Answer:

0.875

Step-by-step explanation:

As we know consecutive angle of parallelogram are supplementary then the sum m∠JLM = 22°.

Let the m∠JLM be x.
Thus, x+56+27+75 = 189
x = 180 - 158
x = 22

Hence the angle m∠JLM would be 22°

A quadrilateral with two sets of parallel sides is referred to as a parallelogram. In a parallelogram, the opposing sides are of equal length, and the opposing angles are of equal size. Additionally, the interior angles that are supplementary to the transversal on the same side. 360 degrees is the total of all interior angles.

A parallelepiped is a three-dimensional shape with parallelogram-shaped faces. The base (one of the parallel sides) and height (the distance from top to bottom) of the parallelogram determine its area. A parallelogram's perimeter is determined by the lengths of its four sides.

The properties of a parallelogram are shared by the shapes of a square and a rectangle.

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The value of the function f(8) would be equal to -239

Function is a type of relation, or rule, that maps one input to specific single output.

In mathematics, a function is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable (the dependent variable) (the dependent variable). In mathematics and the physical sciences, functions are indispensable for formulating physical relationships.

We are given that the function is

f(x)= -3x² - 6x + 1

Therefore, we have;

-3(8) ²-6(8)+1

-19²-48+1

-240+1

=-239

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The complete question is;

F(x)=−3x ² −6x+1 Find f(8)

Step-by-step explanation:

-1/4, -1/5, -1/6, -1/7, -1/8, 1/8, 1/7, 1/6, 1/5, 1/4

Answer:

24 teachers

Step-by-step explanation:

136 ÷ 17 = 8

8 × 3 = 24

answer: you're missing the problem

Answer:

ok ez

Step-by-step explanation:

a) 119/1009=11.79%

b) 264/1009=26.17%

c) 75/1009= 7.43%

d) 9/1009= 0.89%

u are welcome :)

x = 2, y = 9, and the side length of the square is 6 units.

A square is a quadrilateral that has four equal lengths, that is, all its sides are equal.

Thus:

y - 6 = 2y - 15

y - 2y = 6 - 15

-y = -9

y = 9

Also:

3x - 3 = y - 6

3x - 3 = 9 - 6

3x - 3 = 3

3x = 3 + 3

3x = 6

x = 2

Therefore, the sides would be:

y - 6 = 9 - 6 = 3 units

In summary, x = 2, y = 9, and the side length of the square is 6 units.

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It takes 23.45 months for $1400 to double at 3% interest compounded monthly. Deposit $9,205.85 in an account paying 3% compounded monthly to have a balance of $10,500 after 2 years. Deposit $5,518.11 in an account paying 4% annual interest compounded continuously to have a balance of $7500 after 7 years.

To find the time it takes for $1400 to double at 3% interest compounded monthly, we use the formula for compound interest: A = P(1 + r/n)^(nt), where A is the final amount, P is the principal, r is the annual interest rate, n is the number of times the interest is compounded per year, and t is the time in years.

We want to find t when A = 2P and r = 0.03/12 (since the interest is compounded monthly). Substituting these values into the formula, we get

2P = P(1 + 0.03/12)^(12t)

2 = (1 + 0.0025)^(12t)

ln(2) = 12t ln(1.0025)

t = ln(2)/(12 ln(1.0025))

Using a calculator, we get t ≈ 23.45 months. Therefore, it takes about 23.45 months for $1400 to double at 3% interest compounded monthly.

To find how much should be deposited in an account paying 3% compounded monthly in order to have a balance of $10,500 after 2 years, we use the same formula for compound interest.

We want to find P when A = $10,500, r = 0.03/12, n = 12, and t = 2. Substituting these values into the formula, we get

$10,500 = P(1 + 0.03/12)^(12*2)

$10,500 = P(1.0304)^24

P = $9,205.85

Therefore, about $9,205.85 should be deposited in the account to have a balance of $10,500 after 2 years.

To find how much should be deposited in an account paying 4% annual interest compounded continuously in order to have a balance of $7500 after 7 years, we use the formula for continuous compound interest: A = Pe^(rt), where A is the final amount, P is the principal, r is the annual interest rate, and t is the time in years.

We want to find P when A = $7500, r = 0.04, and t = 7. Substituting these values into the formula, we get

$7500 = Pe^(0.04*7)

$7500 = Pe^0.28

P = $5,518.11

Therefore, about $5,518.11 should be deposited in the account to have a balance of $7500 after 7 years.

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