Solve the equation

3x/3x-1 + 2/x = 1

Answer:

100π sq. ft

Step-by-step explanation:

Given,

Radius ( r ) = 10 ft

To find : Area ( circle ) = ?

Formula : -

Area ( circle ) = π r^2

Area ( circle )

= π x 10^2

= π x 100

= 100π sq. ft

Answer:

area of circle : πr^2

                      = π(10)^2

                      = 314.1592654

                      ≈ 314.16 cm2

To determine which payment plan the real estate investor would prefer, we need to compare the present value of each payment option. Assuming a discount rate of 0%, meaning no time value of money is considered, we can directly compare the payment amounts.

1. Payment of $2,000 at the first of each month: This results in a total payment of $24,000 over the 12-month lease.

2. Upfront payment of $24,000: This option requires paying the full amount at the beginning of the lease.

3. Payment of $2,000 at the end of each month: Similar to option 1, this results in a total payment of $24,000 over the 12-month lease.

4. Upfront payment of $12,000 and $12,000 half-way through the lease: This option requires paying $12,000 at the beginning of the lease and another $12,000 halfway through the lease.

Since all the payment options have a total cost of $24,000, the real estate investor would likely prefer the payment plan that offers more flexibility or matches their cash flow preferences. Options 1 and 3 provide the investor with the option to pay monthly, while options 2 and 4 require a larger upfront payment. The choice would depend on the investor's financial situation and preferences.

Answer:

19-13=6+1=7-14=-7+4=-3

Step-by-step explanation:

The variable "amount of time students spent studying for final exams" is a continuous, numerical variable.

Continuous variables are those that can take on any value within a certain range, such as time, weight, or height. In this case, the amount of time a student spends studying for final exams could take on any value within a certain range (e.g. 0 hours to 50 hours), and there are no distinct categories or intervals that the variable falls into.

Numerical variables, on the other hand, are variables that can be measured with numbers.

Therefore, the variable "amount of time students spent studying for final exams" fits the description of a continuous, numerical variable as it can take on any value within a certain range and can be measured using numbers.

This type of variable can be analyzed using statistical methods such as mean, median, and standard deviation.

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h= x(^2) +9

X. the "(^2)" is x to the 2nd power

Answer:

the midpoint of the bridge 2(0)+9

so y=9.  (0,9)

so the length is 30 feet

The probability that the chip drawn from urn II is red is 4/15. Let's call the event that the chip drawn from urn I and transferred to urn II is red "R1", and the event that the chip drawn from urn II is red "R2".

The probability of event R1 is 2/6 = 1/3.

Given that event R1 has occurred, the number of red chips in urn II becomes 4, and the number of total chips becomes 4+1=5. The probability of event R2 is 4/5 = 4/5.

The probability of both events occurring is (1/3) * (4/5) = 4/15.

So, the probability that the chip drawn from urn II is red is 4/15.

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Answer:

980

Step-by-step explanation:

Multiply the number of pens in a box by the number of boxes.

Answer:

x-intercept: 15

y-intercept: -6

The slope is positive because 2/5 (the slope) is positive.

Step-by-step explanation:

The x-intercept is where the line crosses the x-axis.

The y-intercept is where the line crosses the y-axis.

For the given conditions convention B attendance is decreasing at a greater rate.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

It is given that, the number of people attending convention A can be modeled by the function as,

f(x) = 1200 • 0.95ˣ

where x is the number of years that the convention has been occurring.

The number of people attending convention A in year 1,

f(x) = 1200 × 0.95¹

f(x) = 1140

The number of people attending convention A in year 2,

f(x) = 1200 × 0.95²

f(x) = 1083

The number of people decreasing in the Convention A,

=1140 - 1083

=57

If the number of people attending Convention B was 2200 in year 1 and 2100 in year 2. The number of people decreasing in the Convention B,

=2200-2100

=100

Thus, for the given conditions convention B attendance is decreasing at a greater rate.

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Answer:1 cup of peanut and 2 cup of oats

Step-by-step explanation:

Peanut: 3/3=1

Oats:6/3=2

I

Answer:

cost of a bag of hot Cheetos = 0.75 and cost of a pack of sour patch kids = 1.5

Step-by-step explanation:

Let the cost of a bag of hot cheetos be c

Let the cost of a pack of sour patch kids be k

Thus, for Jasmine, the equation will be;

3c + 2k = 5.25 - - - - (eq1)

For Michael, the equation will be;

7c + 3k = 9.75 - - - - - (eq2)

We will use method of elimination to solve this.

Multiply (eq 1) by 3 and (eq 2) by 2 to give;

9c + 6k = 15.75 - - (eq4)

14c + 6k = 19.5 - - -(eq5)

Subtract (eq4) from (eq 5) to get;

5c = 19.5 - 15.75

5c = 3.75

c = 3.75/5

c = 0.75

Put 0.75 for c in (eq 4) to get;

9(0.75) + 6k = 15.75

6.75 + 6k = 15.75

6k = 15.75 - 6.75

6k = 9

k = 9/6

k = 1.5

Thus; cost of a bag of hot Cheetos = 0.75 and cost of a pack of sour patch kids = 1.5

Answer:

ababababababababbbababbbababbababaaaaaabababbababab

Step-by-step explanation:

hru and thank u for this question

Answer:

dsvrg

Step-by-step explanation:

Answer: False

Step-by-step explanation:

If \(y=0.5\), then \(y^2=0.25\), whereas \(y=0.5\).

Therefore, this is a counterexample. Hence, the statement is false.

Assume 5-bit two's complement representation, the operation using the 2's complement operation, the steps and the result in binary -8+(-3) is -10 in two's complement notation.

In two's complement representation, negative numbers are represented by flipping all the bits in the corresponding positive number and adding 1. To perform addition and subtraction operations in two's complement, we follow the regular addition and subtraction rules but with an additional step to handle overflow and underflow. Let's assume 5-bit two's complement representation for this problem.

To add -8 and -3, we need to represent both numbers in two's complement notation.

-8 in binary form is 10000, which is the largest negative number that can be represented in 5-bit two's complement.

Therefore, we cannot represent -8 in 5-bit two's complement, so we need to discard the overflow bit and represent -8 as 00000 (positive zero).

-3 in binary form is 11101.

To get the two's complement of -3, we need to flip all the bits to get 00010 and add 1 to get 00011 (positive 3).

Now we can add 00000 and 00011 using regular binary addition.

00000+00011=00011000 (discarding the overflow bit)= 00110 in binary, which represents the two's complement of 10 in decimal.

Therefore, -8+(-3)=-10 in two's complement notation.

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The speed of the current will be equal to 2 km/h.

Speed is stated as the ratio of the time distance travelled by the body to the time taken by the body to cover the distance. Speed is the ratio of the distance travelled by time. The unit of speed in miles per hour.

The formula for the distance is,

Distance = speed × time

time = distance/speed

Let c depict the speed of the current of the river in km/h. Then the speed of the boat upstream is (10-c), In 3/4 hour, the distance travelled upstream is,

Distance upstream = (3/4)·(10 -c)

The time taken to travel the same distance downstream is given as 3 hours. The speed in that direction is c, so we have,

3 = distance upstream/c = (3/4)(10 -c)/c

Multiply the equation by 4c,

12c = 3(10 -c)

15c = 30

c = 2

Hence, the current speed will be 2km/h.

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The direct answer is that the geometric average return for the given period is 7.82%. This takes into account the compounding effects of the portfolio returns over the past four years.

To calculate the geometric average return, we multiply the individual returns and take the nth root, where n is the number of years. In this case, we have four years of returns.

First, convert the percentage returns to decimal form: 11.52% = 0.1152, 6.27% = 0.0627, -0.82% = -0.0082, and 14.19% = 0.1419.

Next, multiply these decimal returns: 0.1152 * 0.0627 * (-0.0082) * 0.1419 = -0.00006488.

To find the geometric average, we take the fourth root of the absolute value of the result: abs(-0.00006488)^(1/4) = 0.0782.

Finally, convert the decimal back to percentage form: 0.0782 * 100 = 7.82%.

Therefore, the geometric average return for the given period is 7.82%.

The geometric average return accounts for compounding effects and provides a measure of the overall return over the specified period. It considers the compounding nature of investment returns and is useful for comparing investment performance over multiple years.

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so it basically 36.16

Step-by-step explanation:

4x9=36

4x4=16

36.16

The value of x is 10.

Given triangle is a right-angled triangle.

Let the lengths of not mentioned lengths be 2p(hypotenuse) and 2q (other side).

There are two triangles in the given picture.

Consider the smaller triangle.

Apply Pythagoras theorem to that i.e.,

\(p^{2}\) = \((3x)^{2} + q^{2}\)

(Here, total hypotenuse is 2p length and the smaller triangle has half of its length. So, length is p. Similarly in case of q)

\(p^{2} = 9x^{2} + q^{2}\)  (Equation 1)

Now, consider the large triangle.

Apply Pythagoras theorem to that i.e.,

\((2p)^{2} = (4x + 20)^{2} + (2q)^{2}\)

\(4p^{2} = (16x^{2} + 160x + 400) + 4q^{2}\)

Substitute \(p^{2}\) from Equation 1

\(4(9x^{2} + q^{2} ) = 16x^{2} + 160x + 400 + 4q^{2}\\\)

\(36x^{2} + 4q^{2} = 16x^{2} + 160x + 400 + 4q^{2}\)

\(36x^{2} = 16x^{2} + 160x + 400\)  (\(4q^{2}\) from both sides got cancelled)

\(20x^{2} - 160x - 400 = 0\)

Solving the quadratic equation,

\(20x^{2} - 200x + 40x - 400 = 0\)

\(20x(x - 10) + 40(x - 10) = 0\)

\((20x+ 40)(x - 10) = 0\)

So, 20x + 40 = 0 or x - 10 = 0

i.e., x = -2 or 1o

But \(x \neq -2\) because angles cannot be negative.

So, x is 10.

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Answer:

1st,15

2nd, 40

3rd, 36

Step-by-step explanation:

After 1 year, the initial investment increases by 7%, i.e. multiplied by 1.07. So after 1 year the investment has a value of $800 × 1.07 = $856.

After another year, that amount increases again by 7% to $856 × 1.07 = $915.92.

And so on. After t years, the investment would have a value of \(\$800 \times 1.07^t\).

We want the find the number of years n such that

\(\$856 \times 1.07^n = \$1400\)

Solve for n :

\(856 \times 1.07 ^n = 1400\)

\(1.07^n = \dfrac74\)

\(\log_{1.07}\left(1.07^n\right) = \log_{1.07}\left(\dfrac74\right)\)

\(n \log_{1.07}(1.07) = \log_{1.07} \left(\dfrac74\right)\)

\(n = \log_{1.07} \left(\dfrac74\right) = \dfrac{\ln\left(\frac74\right)}{\ln(1.04)} \approx \boxed{8.3}\)

Answer:

25 years

Step-by-step explanation:

total = before × percent ( in decimal ) × time

1400 = 800 × 0.07 × t

1400 = 56 × t

1400 ÷ 56 = 25

t = 25

Hope this was helpful!

Answer:

L = \(9\frac{1}{2}\) in

W = 6 in

A = ?

Area of rectangle = length × width

○ A = L × W

=> A = \(9\frac{1}{2}\) × 6

=> A = 57 in Answer...

Hope that helps....

Answer:

\( \sqrt{i} \)

Step-by-step explanation:

i = -1

This is a complex number

in here we take -1 = i

The solution to the differential equation dx/dt = x*sin(t), with the initial condition x(0) = 1, is x(t) = e^(-cos(t)).

To solve the differential equation:

dx/dt = x*sin(t)

We can separate the variables and integrate both sides:

1/x dx = sin(t) dt

Integrating both sides gives:

ln|x| = -cos(t) + C

Where C is a constant of integration. Solving for x, we have:

|x| = e^(-cos(t)+C) = e^C * e^(-cos(t))

Since x(0) = 1, we can substitute t=0 and x=1 into the solution to find C:

|1| = e^C * e^(-cos(0))

So e^C = 1, and C=0. Substituting this value of C back into the solution, we have:

|x| = e^(-cos(t))

Since the initial condition x(0) = 1, we take the positive value of the absolute value:

x(t) = e^(-cos(t))

Therefore, the solution to the differential equation dx/dt = x*sin(t), with the initial condition x(0) = 1, is x(t) = e^(-cos(t)).

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Answer:

24 hours

Step-by-step explanation:

Divide 200 by 5.50

200÷5.50=36.36 (round to the nearest decimal)

Divide 68 by 5.50

68÷5.50=12.36 (round to the nearest decimal)

So if he worked 12.4 hours to gain $68,

We then can minus 12.4 from 36.4

36.4-12.4=24

He will need to work 24 more hours in order to have enough money

Given the set of values, you have to determine the y-intercept, slope, and the equation that corresponds to de relationship on the table.

The slope-intercept form is

Where

m represents the slope

b represents the y-intercept (is the y-coordinate of the point corresponding to the y-intercept)

The y-intercept of any function in the coordinate system is the point where the line intercepts the y-axis, at this point the x-coordinate is equal to zero. You can determine this value directly from the table, the ordered pair (0,6) corresponds to the y-intercept coordinates.

So "b = 6"

To determine the slope of the line, m, you need to use two points of the line and the following formula:

Where

(x₁,y₁) are the coordinates of one point on the line

(x₂,y₂) are the coordinates of a second point on the line

You can use any two points of the line to calculate the slope, I will use (2,14) and (1,10)

The slope of the line is m=4

Finally, you have to replace the values of the slope and y-intercept in the formula to determine the equation of the line in slope-intercept form:

For b=6 and m=4

Answer:

9= coefficient

4= degree

-6m= term

-5= constant

Step-by-step explanation: I hope this helps ;)

The expression of 3D-3C is 6x²-12x+6 in the standard form when the D=1-x² and C = -1-3x²+4x.

Given that,

The equations,

D=1-x² and C = -1-3x²+4x

We have to find the expression 3D-3C in standard form.

Mathematical statements are called expressions if they have at least two terms that are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations.

We get,

3D-3C

3(1-x²)-3(-1-3x²+4x)

3-3x²+3+9x²-12x

6+6x²-12x

6x²-12x+6

Therefore, The expression of 3D-3C is 6x²-12x+6 in the standard form when the D=1-x² and C = -1-3x²+4x.

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