determine the annual amount that an investor would earn on a rental property that pays $850.00 per month.

He will use 9.375 acres of the land for the park

A fraction is used to represent the portion/part of the whole thing. It represents the equal parts of the whole.

Since the land is 21.5 acres and 0.75 of the land  was used for a park. we can write:

acres used for the park = 0.75 × 12.5 = 9.375 acres

Thus, he will use 9.375 acres for the park

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Answer:

The answer is below

Step-by-step explanation:

Let x represent the number of mountain bikes they produce, and let y represent the number of racing bikes they produce.

It takes 4 hours of mechanical tuning to produce a mountain bike and 2 hours of mechanical tuning to produce a racing bike. The company has at most 23 hours of mechanical tuning labor per week. Therefore the constraint is:

4x + 2y ≤ 23     (1)

It takes 5 hours of assembly time to produce a mountain bike and 10 hours of assembly time to produce a racing bike. The company has at most 152 hours of mechanical tuning labor per week. Therefore the constraint is:

5x + 10y ≤ 152     (2)

Also, x, y ≥ 0        (3)

The company's profit is $40 for each mountain bike produced and $140 for each racing bike produced. The profit equation is:

Profit = 40x + 140y

Plotting the constraints equation 1 and equation 2 using geogebra online graphing tool. The solution are (0,0), (5,75, 0), (0, 11.5)

At (0,0); Profit = 40(0) + 140(0) = 0

At (5.75,0); Profit = 40(5.75) + 140(0) = 230

At (0,11.5); Profit = 40(0) + 140(11.5) = 1610

The maximum profit is at (0, 11.5)

3(x-9)/x-3 is the simplified form of the expression.

Quadratic equations are equation that has a leading degree of 2. Given the expression below:

f(x) = 3x²-243/x²+6x-27

Factorize both numerator and denominator as shown:

f(x) = 3(x²-81)/x²+9x-3x-27

f(x) = 3(x+9)(x-9)/x(x+9)-3(x+9)
f(x) = 3(x+9)(x-9)/(x-3)(x+9)

f(x) = 3(x-9)/x-3

Hence the simplified form of the expression is 3(x-9)/x-3

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Looking at the graph

we have that

The domain is the interval

(-infinite, 6) U (6, infinite)

that means

The range is the interval

(-infinite, infinite)

that means

Answer:

The linear equation that gives the height of the tree in terms of number of years since they were planted is y = 3/4x + 2  OR y = 0.75x + 2

Step-by-step explanation:

In the linear equation, y =mx + b

This is the equation of a straight line where m is the gradient and b is the intercept on the y-axis.

In the equation, y represents the height of the trees after x years.

m is the gradient, that is, the rate at which the trees are growing.

and b is the height at the time they were planted, that is, at time x = 0.

From the question,

Six 2-foot tall pine trees were planted during the school's observation of Earth Awareness Week in 1990, that is,

b = 2

Also, from the question,

The trees have grown at an average rate of 3/4 foot per year, that is,

m = 3/4

Hence, the equation becomes

y = 3/4x + 2  (\(y = \frac{3}{4}x + 2\))

OR

y = 0.75x + 2

Hence, the linear equation that gives the height of the tree in terms of number of years since they were planted is y = 3/4x + 2  OR y = 0.75x + 2.

Equation that represents the height of the tree in terms of number of years since they were planted

\(y=\frac{3}{4}x+2\)

Given :

Six 2-foot tall pine tress were planted.

The trees have grown at an average rate of 3/4 foot per year.

We need to frame linear equation that represents the height of the tree in terms of number of years.

Linear equation is y=mx+b

where b is the initial height of the tree

m is the rate of growth of the tree

y is the final height of the tree

and x  represents the number of years

Initial height of the tree is 2 foot

rate of growth is 3/4 foot per year

x is the number of years

Replace all the values inside y=mx+b formula

\(y=\frac{3}{4}x+2\)

Equation that represents the height of the tree in terms of number of years since they were planted

\(y=\frac{3}{4}x+2\)

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The number of times or ratio the distance of Saturn is farther from the Sun 9.52 times

Since the Earth's distance from the sun is 1.496 × 10⁸ km. Saturn's distance from the sun is 1.4246 × 10⁹ km.

To find how many times further from the sun is Saturn, we take a ratio of the distance from Satrurn and the Sun to that of the distance between the Earth and the Sun.

A ratio is the number of times a number can divide into another number.

To find this ratio, we have r = D/d where

Since

So, substituting the values of the variables into the equation, we have

r = D/d

r =  1.4246 × 10⁹ km/1.496 × 10⁸ km

r = 0.9523 × 10

r = 9.523

r ≅ 9.52

So, Saturn is farther from the Sun 9.52 times

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The width RQ of the river is approximately 61.98 ft.

To find the width RQ of the river, we can use the properties of perpendicular lines and collinearity.

Given that Karl starts at point R and walks perpendicular along the edge of the river 42 ft to point S, we can draw a line segment RS of length 42 ft.

From point S, Karl walks 28 ft further to point T. We can draw another line segment ST of length 28 ft.

Now, Karl turns 90° from point T and walks until his location (point U), point S, and point Q are collinear. Let's denote the length of this line segment as UQ.

From the given information, we know that TU = 68 ft.

Since U, S, and Q are collinear, we can form a right triangle by connecting UQ and US.

The length of UQ can be found using the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

In this case, we have:

UQ² = TU² - US²

UQ² = 68² - 28²

UQ² = 4624 - 784

UQ² = 3840

Taking the square root of both sides, we have:

UQ = √3840

UQ ≈ 61.98 ft

Therefore, the width RQ of the river is approximately 61.98 ft.

Note: It's important to keep in mind that this solution assumes the river is a straight line and that Karl's path is perpendicular to the river's edge. In reality, the river's edge may not be perfectly straight, and the path Karl walks may not be exactly perpendicular.

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The value of x, y and z in the system equation is (1, 2, 3).

The solution of the equation can be determined by using Cramer's rule as follows;

[-5    -6      0] = [ -17]

[-3     -5     5]    [2   ]

[-6    -5      1]     [-13 ]

The determinant of the matrix is calculate as;

Δ = -5 (-5 + 25) + 6(-3 + 30) + 0(15 + 30)

Δ = 62

The x-determinant of the matrix is calculated as follows;

Δx = -17(-5 + 25) + 6(2 + 65) + 0

Δx = 62

The y-determinant of the matrix is calculated as follows;

Δy = -5(2 + 65) + 17(-3 + 30) + 0

Δy = 124

The z-determinant of the matrix is calculated as follows;

Δz = -5(65 + 10) + 6 (39 + 12) - 17(15 - 30)

Δz =  186

The value of x, y and z is calculated as follows;

x = Δx/Δ = 62/62 = 1

y = Δy/Δ = 124/62 = 2

z = Δz/Δ = 186/62 = 3

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The simplified form of 13¹/3 + 2¹/3 - 10/2 is a fraction 64/6 that can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 2 the final answer is 32/3.

Given

13¹/3+2¹/3-10/2​

Required simplified it =?

First, we have simplified both constants separately

13¹/3 = (3 * 13 + 1) / 3 = 40/3

2¹/3 = (3 * 2 + 1) / 3 = 7/3

now the expression become = 40/3 + 7/3 - 10/2

now taking LCM of 3 and 2 which is 6.

                                                = 80/6 + 14/6 - 30/6

 now we have to simplify this fraction by dividing by 2 = 64/6

Therefore, the simplified form of 13¹/3 + 2¹/3 - 10/2 is 32/3.

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Answer:

x=5

Step-by-step explanation:

Move the constant to the right-hand side and change its sign. Then subtract the numbers.

Answer:

X=8-5

X=5

Step-by-step explanation:

plz mark me as brainliest

Answer:

207400%

Step-by-step explanation:

Look at the decimal number 2074 as 2074 out of one. Furthermore, percent means per hundred. So the task is to convert 2074 out of one to 2074 out of one hundred.

The equation to solve the problem is displayed below where x is the 2074 as a percentage.

2074

/1

   =  

x

/100

Please mark brainliest if correct and have a blessed day!

We solve the equation for x above by first multiplying each side by one and then multiplying each side by one hundred. Thus, the answer to 2074 as a percentage is:

207400%

Answer:

the answer is 207400% I do believe

7 3/4 pounds contains 124 ounces

8 ounces = 0.5 pound

X ounces = 1 pound

X = 8 / 0.5 = 16 ounces

7 3/4 = 7.75

7.75 contains = 7.75 * 16

= 124 ounces

Answer:

4(m+3+5m)=

4(6m+3)

factor out the three

4x3(2m+1)

12(2m+1)

Step-by-step explanation:

4(m+3+5m)=

4(6m+3)

factor out the three

4x3(2m+1)

12(2m+1)

On the right hand side 5 has the value of a tenth while on the left hand side 5 is a unit.

The term place value refers to the value that is attached to a number. We know that the place value can tell us how to assign a mathematical value to a number.

We have to look at the 5s on the both sides. On the right hand side 5 has the value of a tenth while on the left hand side 5 is a unit.

In the case of 7, it is has a value of unit on the left hand side but  value of hundredth on the right hand side.

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\(f(g(13)) = f( \alpha ) \\ where \: \alpha = g(13)\)

As shown in the output of g when we want to input 13 is shown in the second figure.

\( \alpha = g(13 )= 16\)

Now we want to solve for f(g(13)),now that we know what g(13) is

\(f(g(13)) = f( \alpha ) = f(16) = 32\)

Answer:

C=32

Step-by-step explanation:

This mapping is both one to one mapping and onto mapping

f(g(13))=f(ã)

since we know that g(13),we proceed to the codomain of g which is g(16)

That will be

f(16)=32

This method uses a sample of the  population mean to make generalizations about the whole, but can introduce error due to not observing the whole population.

The goal of inferential statistics is to use sample statistics to make inferences about population parameters. This is done by taking a sample of the population, usually a relatively small one, and using it to draw conclusions about the entire population. This method has the benefit of being much cheaper and easier to conduct than studying an entire population, however, it leaves room for error because it does not observe every member of the population. If the sample is not representative of the population, it can lead to faulty conclusions about the population as a whole. Additionally, if the sample size is too small, it may not be able to accurately represent the population. Therefore, it is important to carefully consider the sample size, as well as the representativeness of the sample, in order to draw reliable conclusions from inferential statistics.

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Let \(f(x) = x^3 - 2x - 2\). Then differentiating, we get

\(f'(x) = 3x^2 - 2\)

We approximate \(f(x)\) at \(x_1=2\) with the tangent line,

\(f(x) \approx f(x_1) + f'(x_1) (x - x_1) = 10x - 18\)

The \(x\)-intercept for this approximation will be our next approximation for the root,

\(10x - 18 = 0 \implies x_2 = \dfrac95\)

Repeat this process. Approximate \(f(x)\) at \(x_2 = \frac95\).

\(f(x) \approx f(x_2) + f'(x_2) (x-x_2) = \dfrac{193}{25}x - \dfrac{1708}{125}\)

Then

\(\dfrac{193}{25}x - \dfrac{1708}{125} = 0 \implies x_3 = \dfrac{1708}{965}\)

Once more. Approximate \(f(x)\) at \(x_3\).

\(f(x) \approx f(x_3) + f'(x_3) (x - x_3) = \dfrac{6,889,342}{931,225}x - \dfrac{11,762,638,074}{898,632,125}\)

Then

\(\dfrac{6,889,342}{931,225}x - \dfrac{11,762,638,074}{898,632,125} = 0 \\\\ \implies x_4 = \dfrac{5,881,319,037}{3,324,107,515} \approx 1.769292663 \approx \boxed{1.769293}\)

Compare this to the actual root of \(f(x)\), which is approximately 1.769292354, matching up to the first 5 digits after the decimal place.

Answer:

\(x=\dfrac{8}{3}\)

Step-by-step explanation:

The given equation is :

-20= -4 - 6x

We need to find the value of x. It can be done by collecting like terms togther as follows :

-20+4=-6x

⇒-16=6x

\(x=\dfrac{8}{3}\)

So, the solution of the given equation is 8/3.

The x-intercept of the graphed function is (-1,0)

The x-intercept of the graphed function is the point where the function has a value of 0

i.e. the x value when y = 0

From the complete question, we have:

x = -1 when y = 0

Hence, the x-intercept of the graphed function is (-1,0)

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The total amount payable at the end of 4 years is 406

In this given sum we are provided with the values of principal , rate of interest , and the number of years , we are asked to calculate the amount payable after 4 years that is the matured amount which is calculated with the addition of the principal amount and the simple interest. For that we had to first find out the amount of interest and then we need to add that with the principal amount to get the matured amount or the amount that is payable at the end of 4 years.

here we have to apply the formulla of simmple interest :

(principal × rate of interest × no. of years )/ 100

In the given sum principal (p) = 350 , rate of interest (r) = 4% pa , no. of years (n) = 4

Simple interest = pnr/100

= (350 × 4 × 4)/100  = 56

Matured Amount = Principal + Interest

= 350 + 56 = 406

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The probability that the animal's weight will be less than 151 pounds is 0.50.

The correct option is B.

Since the given probability distribution ranges from 148 to 152, and we need to find the probability that the animal's weight will be less than 151 pounds, we can add the probabilities corresponding to the weights less than 151.

From the distribution, we see that the probability of the animal's weight being less than 151 pounds is 0.2 + 0.3 = 0.5.

Therefore, the answer is O 0.50.

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Verification(s):

Option A:

A right triangle can never be an acute triangle because a right triangle defines a triangle that includes a 90° angle, which is not less than 90°.

Check out an example in image #1

Option B:

An isosceles triangle can be an acute triangle as it can have all angles less than 90°.

Check out an example in image #2.

Option C

A scalene triangle can also be an acute triangle as it can have all angles less than 90°.

Check out an example in image #3.

Final answers:

Answer:

Kendra has 20 quarters and 5 nickels

Answer:

5 nickels and 15 quarters.

Step-by-step explanation:

Answer:

18 ft* (1 piece/ 1 1/3 ft)= 13.5 pieces.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

Below

Step-by-step explanation:

Find unit rate (since it starts at 0,0)

at 45 seconds  it is 900 bottles

             900 bottles / 45 seconds = 20 bottle / sec

20 bottles / sec * 80 sec = 1600 bottles

The Mean is 17, Median is 18, Mode is 18 and, Midrange is 17.

The Mean is defined as the ratio of sum of numbers present in the data to the total numbers present in the data. Median is defined as the ratio of sum of middle numbers present in the data. Mode is defined as the most recurring number present in the data. Midrange is the ratio of the largest and smallest number in the data to 2.

Let's see how to calculate Mean, Median, Mode and Midrange.

Mean = 13 + 15 + 18 + 18 + 21 / 5

Mean = 85 / 5

Mean = 17

Median = 18 (as it is the middle term of the data)

Mode = 18 (as it is most recurring number)

Midrange = 21 + 13 / 2

Midrange = 34 / 2

Midrange = 17

Therefore, The Mean is 17, Median is 18, Mode is 18 and, Midrange is 17.

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