If the current skatepark is 25 m by 25 m, the area is ________ m2

Answer: I THINK ITS D

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

The sorted inputs in order from least to greatest is:

3/21 < 3/15 < 3/11 < 3/8 < 3/7

Step-by-step explanation:

Using the given inputs:

3/15 3/7 3/21 3/8 3/11

As the least common denominator (LCD) is: 9240

Rewriting as equivalent fractions with the LCD:

3/15                  3/7                       3/21                 3/8                     3/11

1848/9240      3960/9240       1320/9240        3465/9240        2520/9240

Sorting this table by the numerators of the equivalent fractions in order from least to greatest:

    3/21                3/15                 3/11                     3/8                  3/7

1320/9240  < 1848/9240 < 2520/9240  < 3465/9240   <   3960/9240

Therefore, the sorted inputs in order from least to greatest is:

3/21 < 3/15 < 3/11 < 3/8 < 3/7

The statement ''A frequency polygon is a very useful graphic technique when comparing two or more distributions'' is true because a frequency polygon is a very useful graphic technique for comparing two or more distributions.

A frequency polygon is a line graph that shows the distribution of a dataset.

It is created by plotting the frequency of each data value or interval on the y-axis and the corresponding values or intervals on the x-axis, and then connecting the points with line segments.

By using frequency polygons, it becomes easy to compare the shapes and spread of two or more distributions. We can overlay different frequency polygons on the same graph and compare them.

This helps to identify similarities and differences between the data sets.

For instance, frequency polygons can help identify which data set has a higher mean or median, and which distribution has a greater variance.

In summary, frequency polygons are a useful visual tool for comparing distributions and identifying patterns in data.

To know more about frequency polygons refer here:

https://brainly.com/question/28521411#

#SPJ11

Answer:

100 = 10²

Step-by-step explanation:

100 equals 10² because 10×10=100. Likewise, 10³ would be 1000 because 10×10×10=1000. I hope this makes sense.

The area of the walkway is 168 square feet if Ms. Rich is creating a walkway around her rectangular garden. If the walkway will be 3 feet wide, and the garden is 10ft by 12ft.

It is defined as the space occupied by the rectangle, which is planner 2-dimensional geometry.

The formula for finding the area of a rectangle is given by:

Area of rectangle = length × width

The dimensions of the garden = 10 ft by 12 ft

Area = 10×12 = 120 square feet

The width of the walkway = 3 feet

If we create a walkway around the garden, it will be a rectangle around the garden.

So the dimensions for the bigger rectangle = (3+10+3) ft by (3+12+3) ft

Area of the bigger rectangle = 16×18 = 288 square feet

So the area of the walkway = 288 - 120 = 168 square feet

Thus, the area of the walkway is 168 square feet if Ms. Rich is creating a walkway around her rectangular garden. If the walkway will be 3 feet wide, and the garden is 10ft by 12ft.

Learn more about the rectangle here:

https://brainly.com/question/15019502

#SPJ1

The measure of <YZX is 55.2 degree.

The area of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (csc).

Given:

XY= 12.4 cm, YZ= 15.1 cm

In right ΔXYZ with hypotenuse XZ and opposite side XY to ∠YZX then

Using the sine ratio

sin <YZX= 12.4/ 15.1

sin <YZX = 0.8211

<YZX= 55.2

Hence, the measure of <YZX is 55.2 degree

Learn more about Trigonometry here:

https://brainly.com/question/26719838

#SPJ1

Answer: 55.2

Step-by-step explanation: just took it

The amount of degrees by which the temperature rose is; 9 °C

A change in temperature simply tells us by how much a temperature increased or decreased as the case may be.

Now, we are told that the temperature one night in Ulundi was measured at -1 °C. Thus;

Initial temperature = -1 °C

Temperature on next day = 8 °C

Thus;

Increase in temperature = 8 - (-1) = 9 °C

Read more about Temperature Rise at; https://brainly.com/question/25677592

#SPJ1

Explanation:

1 hat = 45 dollars

6 hats = 6*45 = 270 dollars

1 phone = 40 dollars

4 phones = 4*40 = 160 dollars

total = $270 + $160 = $430

Felicia spent a total of $430. Since this amount of money leaves her account, this means we write a negative sign out front to end up with the final answer of -430

In other words, her account balance went down by $430 which is why we use a negative. If someone gave her $430, then the answer would be positive.

Derek needs to make contributions of approximately $21,038.34 per year from his 26th birthday to his 65th birthday in order to accumulate $2,742,310.00 in his retirement account by the time he fully retires.

To determine the amount Derek needs in his retirement account on his 65th birthday, we can use the concept of present value. Since he plans to withdraw $184,036.00 per year, starting from his 66th birthday until his 90th, the cash flows can be treated as an annuity. The interest rate is 5.00%, and the time period is 25 years (from 66 to 90). Using the formula for the present value of an annuity, we can calculate the required amount. The formula is:

PV = PMT * (1 - \((1 + r)^(-n)\)) / r

where PV is the present value, PMT is the annual withdrawal amount, r is the interest rate per period, and n is the number of periods.

Plugging in the values, we get:

PV = $184,036.00 * (1 - \((1 + 0.05)^(-25)\)) / 0.05 ≈ $2,744,607.73

Therefore, Derek needs approximately $2,744,607.73 in his retirement account on his 65th birthday to cover his desired annual withdrawals.

Moving on to the second part, Derek plans to make contributions to his retirement account from his 26th birthday to his 65th birthday. To reach his goal of having $2,742,310.00 in his retirement account after fully retiring, we can calculate the necessary contributions using the formula for the future value of an ordinary annuity:

FV = PMT * \(((1 + r)^n\) - 1) / r

Rearranging the formula, we can solve for the required contributions (PMT):

PMT = FV * (r / (\(((1 + r)^n\) - 1))

Plugging in the values, we get:

PMT = $2,742,310.00 * (\(\frac{0.05} {((1+0.05)^{39}-1 )}\))≈ $21,038.34

Learn more about interest here:

https://brainly.com/question/25720319

#SPJ11

Answer:

x*y/a-b

Step-by-step explanation:

Millimeters can be converted into centimeters by dividing the value by 10. The solution has been obtained by using the unit conversion.

What is unit conversion?

A unit conversion is used to express the same property in a different unit of measurement. For instance, you could use minutes instead of hours to represent time or feet instead of miles to indicate distance. It commonly occurs when measurements are provided in one system of units, such as feet, but are required in a different system, such as chains.

We are required to convert millimeters to centimeters.

We know that 1 centimeter = 10 millimeters

So, for converting millimeters to centimeters, we need to divide the value by 10.

Hence, millimeters can be converted into centimeters by dividing the value by 10.

Learn more about unit conversion from the given link

https://brainly.com/question/4158962

#SPJ4

Answer:

16

Step-by-step explanation:

dot product = x1x2 + y1y2

= (-5)(-8 + (4)(-6)

= 40 - 24

= 16

The graph of f(x) = x is a straight line that passes through the origin and has a slope of 1. When g(x) = f(x) + 3, the entire graph of f(x) is shifted vertically upward by 3 units. This means that every point on the graph of f(x) is now 3 units higher on the y-axis.

Therefore, the graph of g(x) is also a straight line with the same slope as f(x) but with a y-intercept of 3. In other words, g(x) is f(x) shifted up by 3 units. Thus, the graphs of f(x) and g(x) are related by a vertical shift of 3 units on the coordinate grid.
The graphs of f(x) = x and g(x) = f(x) + 3 on the same coordinate grid are related as follows: The graph of g(x) is a vertical translation of the graph of f(x) by 3 units upwards. This means that each point on the graph of f(x) is shifted 3 units up to form the graph of g(x). The student plotted both graphs on the grid and noticed that the slope and the shape of the graphs are the same, indicating a direct relationship between the two functions. The key difference is the vertical position of the graphs due to the added constant in g(x).

To learn more about graph: brainly.com/question/17267403

#SPJ11

The answer can be checked by multiplying the divisor, quotient, and remainder, and then adding the quotient to the result.

After performing polynomial long division, the answer may be checked by following these steps:

1. Multiply the divisor by the quotient obtained from the division.

2. Add the obtained product to the remainder.

3. The result should be equal to the dividend.

In other words, you can check the answer by multiplying the divisor, quotient, and remainder, and then adding the quotient to the result.

This should give you the dividend.

To explain this step-by-step:

1. Perform the polynomial long division to obtain the quotient and remainder.

2. Multiply the divisor by the quotient obtained in the division.

3. Add the obtained product to the remainder.

4. The result should be equal to the dividend.

Remember to follow the correct order: multiply the divisor by the quotient first, and then add the remainder.

This method allows you to verify the correctness of the division.

Learn more about Polynomial from the given link :

https://brainly.com/question/1496352

#SPJ11

Answer:

Step-by-step explanation:

You want to know which functions have 5 in their domain, and what the function value is at x=5.

It is more convenient to do the second part first, as that tells you the answer to the first part:

f(5) = 5² -3·5 = 25 -15 = 10 . . . . 5 is in the domain

g(5) = (5 -5)/5 = 0/5 = 0 . . . . 5 is in the domain

h(5) = √(5 -10) = √(-5) . . . . UNDEFINED; 5 is not in the domain

Answer:

m = -36/11

Step-by-step explanation:

Start with the equation: -m/-3 = −4 ⋅ ( − m — 3 )

2. Simplify the left side of the equation by canceling out the negatives: -m/-3 becomes m/3.

3. Simplify the right side of the equation by distributing the negative sign: −4 ⋅ ( − m — 3 ) becomes 4m + 12.

after simplification, we have: m/3 = 4m + 12.

Now, let's analyze the error in this step. The mistake occurs when distributing the negative sign to both terms inside the parentheses. The correct distribution should be:

−4 ⋅ ( − m — 3 ) = 4m + (-4)⋅(-3)

By multiplying -4 with -3, we get a positive value of 12. Therefore, the correct simplification should be:

−4 ⋅ ( − m — 3 ) = 4m + 12

solving the equation correctly:

Start with the corrected equation: m/3 = 4m + 12

To eliminate fractions, multiply both sides of the equation by 3: (m/3) * 3 = (4m + 12) * 3

This simplifies to: m = 12m + 36

Next, isolate the variable terms on one side of the equation. Subtract 12m from both sides: m - 12m = 12m + 36 - 12m

Simplifying further, we get: -11m = 36

Finally, solve for m by dividing both sides of the equation by -11: (-11m)/(-11) = 36/(-11)

This yields: m = -36/11

Answer:

n=1

Step-by-step explanation:

Answer:

n=1

Step-by-step explanation:

Given that Joan has "q" quarters, "d" dimes, and "n" nickels in her pockets, you can determine that the total number of coins she has in her pockets is the sum (the result of an Addition) of all the quarters, dimes, and nickels she has in it.

Therefore, knowing that the given variables represent the number of each type of coin, you can write the following Addition of variables, in order to represent the total number of them:

Hence, the answer is: Option a.

Answer:

\(f'(x)= \frac{13}{(2x+3)^2}\\\)

Step-by-step explanation:

\(f(x)= \frac{3x-2}{2x+3} \\\)

\(f'(x)=\frac{dy}{dx} = \frac{d}{dx}(\frac{3x-2}{2x+3})\\ f'(x)= \frac{(2x+3)\frac{d}{dx}(3x-2)-(3x-2)\frac{d}{dx}(2x+3) }{(2x+3)^{2} } \\f'(x)= \frac{(2x+3)(3)-(3x-2)(2)}{(2x+3)^{2} } \\\)

\(f'(x)= \frac{6x+9-6x+4}{(2x+3)^{2} }\\ f'(x)= \frac{13}{(2x+3)^2}\\\)

The main difference between trigonal planar and trigonal pyramidal is in their molecular geometry and the arrangement of atoms or groups around a central atom.

In trigonal planar geometry, the central atom is surrounded by three bonding pairs of electrons, resulting in a flat, triangular arrangement. All the bond angles in a trigonal planar molecule are 120 degrees. Examples of molecules with trigonal planar geometry include boron trifluoride (BF3) and formaldehyde (CH2O).

On the other hand, in trigonal pyramidal geometry, the central atom is surrounded by three bonding pairs of electrons and one non-bonding pair (lone pair) of electrons. This arrangement leads to a three-dimensional shape resembling a pyramid, with the lone pair occupying more space than the bonding pairs. The bond angle between the three bonding pairs in a trigonal pyramidal molecule is less than 109.5 degrees due to the repulsion from the lone pair. Ammonia (NH3) and phosphine (PH3) are examples of molecules with trigonal pyramidal geometry.

In summary, the key distinction between trigonal planar and trigonal pyramidal is the presence of a lone pair of electrons on the central atom in trigonal pyramidal geometry, which gives rise to a three-dimensional pyramidal shape. Trigonal planar molecules, in contrast, lack a lone pair and exhibit a flat, triangular arrangement.

Learn more about trigonal pyramidal here

https://brainly.com/question/30459744

#SPJ11

The exact value of the expression arccos(1/2) in the interval (0, π) is π/3 radians. The expression arccos(1/2) represents the angle whose cosine is equal to 1/2. In the interval (0, π), this corresponds to the first quadrant where the cosine function is positive.

The value 1/2 is commonly associated with the angle π/3 radians, which is exactly 60 degrees. To understand why π/3 radians is the value for arccos(1/2), we can look at the unit circle. The unit circle is a circle with a radius of 1 centered at the origin (0, 0) on the Cartesian plane. The cosine of an angle in the unit circle is equal to the x-coordinate of the point where the terminal side of the angle intersects the unit circle.

In this case, the cosine of π/3 radians is equal to 1/2 because the x-coordinate of the corresponding point on the unit circle is 1/2. Since the interval specified is (0, π), we only consider the angles in the first quadrant, and π/3 radians is the angle in that range whose cosine is 1/2.

Therefore, the exact value of arccos(1/2) in the interval (0, π) is π/3 radians.

Learn more about angle here: https://brainly.com/question/31818999

#SPJ11

The expected operational time of the machine is 6.75

For given x , y > 0 , the lifetime of the machine is max{x , y} because it stops when the two component will fail.

The life expectancy if therefore the expectancy of max{x, y}

t = E [ max{x,y} ]

So, the max{x , y} can be x or y

We have three integral

I₁ = \(\frac{1}{162}\int\limits^9_0 \, dx \int\limits^{18-x}_{x} y \. dy\)

Solving the integration

=> I₁ =  729 / 162

=> 4.5

I₂ = \(\frac{1}{162}\int\limits^9_0 \, dx \int\limits^{x}_{0} y \. dy\)

=> I₂ = 121.5/162

=> 0.75

=> I₃ = \(\frac{1}{162}\int\limits^9_0 \, dx \int\limits^{18-x}_{x} x \. dy\)

=> I₃ = 243 / 162

=>  1.5

So . the total is 4.5 + 0.75 + 1.5

=>  6.75 is expected operational time

To know more about Joint probability function here

https://brainly.com/question/14263946

#SPJ4

Answer:

first I added all numbers together including 45. and I got 252. then I subtracted 252 from 360 and got 108. then I decided 108 by 2 and got 54. then I checked so I think answer is 54

Answer:

800 roller coasters

Step-by-step explanation:

120/x = 15/100

120/x=15 x 8/100 x8

120/x = 120/800

x=800

Answer:

x = -5.975

Step-by-step explanation:

distribute first by multiplying 2/5 by 'x' and then by 9/10 to get:

2/5x - 18/50 = -2 3/4

next, change -2 3/4 into an improper fraction to get:

2/5x - 18/50 = -11/4

now add 18/50 to -18/50 and to -11/4 using a common denominator of 100

2/5x = -275/100 + 36/100

2/5x = -239/100

multiply each side by 5/2 to isolate 'x':

x = -239/100 · 5/2

x = -1195/200

now simplify:

x = -5.975

The number that gives the exact value of 4 5/6 is 29/6

The number is given as:

Number =  4 5/6

Convert the above number to improper numbers

Number = 29/6

Hence, the number that gives the exact value of 4 5/6 is 29/6

Read more about fractions at:

https://brainly.com/question/1622425

#SPJ1

To calculate the cash balance at the end of the period, we need to consider the cash inflows and outflows.

Starting cash balance: $4,520

Cash inflows: $1,654 (receivables collected)

Cash outflows: $1,961 (payments to suppliers) + $500 (cash expenses)

Total cash inflows: $1,654

Total cash outflows: $1,961 + $500 = $2,461

To calculate the cash balance at the end of the period, we subtract the total cash outflows from the starting cash balance and add the total cash inflows:

Cash balance at the end of the period = Starting cash balance + Total cash inflows - Total cash outflows

Cash balance at the end of the period = $4,520 + $1,654 - $2,461

Cash balance at the end of the period = $4,520 - $807

Cash balance at the end of the period = $3,713

Therefore, the cash balance at the end of the period is $3,713.

To learn more about cash : brainly.com/question/31754110

#SPJ11