#12 with explanation please

The number of squares tiles that will be required to floor the rectangular store is approximately 1284 tiles

The rectangular store measures 6.5m by 7.9m.

Therefore,

area of a rectangle = lw

where

Therefore,

area of a rectangle = 6.5 × 7.9

area of a rectangle = 51.35 m²

The square tiles used for the floor is 20cm each. Therefore,

20 cm = 0.2m

hence

area of the square tile = 0.2² = 0.04 m²

number of tiles = 51.35 / 0.04 = 1283.5

number of tiles ≈ 1284 tiles

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Answer:

55 Gallons

Step-by-step explanation:

143 - (8)(11)

143 - 88

143 -  88

55 gallons

Answer:

y=-3x+5.5

Step-by-step explanation:

The answer is Y=-3x+5.5 because we already know the slope which is -3. Now all you have to do is change the Y-Intercept. As you can tell the Y-Intercept is not a whole number. So you have to change it to a decimal to get the point that you want. You can put the last part of the equation as 5.5 or 5.55. It doesn't matter but 5.5 is more official. If you find any fault in my answer let me know. Thanks. Have a good day!

The angle that has been marked as V in the question that we have has the measure of 11°.

The cosine rule, also known as the law of cosines, is a formula used to find the unknown side or angle of a triangle when two sides and an included angle are given .

By the use of the cosine rule, we have that;

\(t^2 = u^2 + v^2 - 2uv Cos T\\t^2 = (97)^2 + (70)^2 - (2 * 97 * 70)Cos 153\\t = \sqrt{} 9409 + 4900 + 12010\\t = 162.2 cm\)

Then;

\(162.2/Sin 153 = 70/Sin V\\Sin V = 70 Sin 153/162.2\\V = Sin^-1(70 Sin 153/162.2)\)

V = 11°

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Answer:

» The Alternative explanation is attached in the pic

Answer: x would be 1/5 or 0.2

To plot and label the nullclines of the non-linear system given by dx/dt = -x - y - x^2 and dy/dt = y - 2xy, we can identify the points where the derivatives are zero, i.e., where dx/dt = 0 and dy/dt = 0.

These points correspond to the nullclines and help us understand the behavior of the system.

Nullcline for dx/dt = 0: Set dx/dt = 0 and solve for x and y. In this case, -x - y - x^2 = 0. This equation represents the nullcline for dx/dt = 0.

Nullcline for dy/dt = 0: Set dy/dt = 0 and solve for x and y. In this case, y - 2xy = 0. This equation represents the nullcline for dy/dt = 0.

Plotting the nullclines: Draw a Cartesian coordinate system with x and y axes labeled. On the graph, plot the points where dx/dt = 0 and dy/dt = 0. These points represent the nullclines.

Labeling the nullclines: Label the x-axis as "x" and the y-axis as "y". Label the nullcline for dx/dt = 0 and dy/dt = 0 accordingly, such as "Nullcline for dx/dt = 0" and "Nullcline for dy/dt = 0".

By following these steps, you can plot and label the nullclines for the given non-linear system. The nullclines represent the points where the derivatives are zero and provide insight into the behavior and stability of the system.

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The utility function u(x) = 0.25**(x/200) is consistent with Pablo's preferences.

To determine which utility function, represented by u(x), is consistent with Pablo's preferences, we need to compare the utility values for different prospects.

Pablo's certain equivalent for a deal with a 0.8 chance at $500 and a 0.2 chance at $100 is $300. We can calculate the expected value of this prospect:

Expected value = (0.8 * $500) + (0.2 * $100) = $400 + $20 = $420

Now let's evaluate the utility values for the given utility functions and compare them to $300 and $420.

a) u(x) = 10 - 10x^4 - x/200

If we substitute x = $420 into this utility function, we get:

u($420) = 10 - 10($420)^4 - $420/200 ≈ -1.06 x 10^18

b) u(x) = 1 - 0.25 - x/200

If we substitute x = $420 into this utility function, we get:

u($420) = 1 - 0.25 - $420/200 = 1 - 0.25 - 2.1 ≈ -1.35

c) u(x) = 5 - 2x^4 + x/300

If we substitute x = $420 into this utility function, e get:

u($420) = 5 - 2($420)^4 + $420/300 ≈ -1.59 x 10^16

d) u(x) = 0.25**(x/200)

If we substitute x = $420 into this utility function, we get:

u($420) = 0.25**(420/200) ≈ 0.063

Comparing the utility values to Pablo's certain equivalent ($300) and the expected value ($420), we find that option d) u(x) = 0.25**(x/200) is consistent with Pablo's preferences, as it yields a utility value (0.063) closer to the expected value than the others.

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Answer:

8

Step-by-step explanation:

\(x^2-2x \\x=4\\(4)^2-2(4)\\16-8\\8\)

Answer:

$564

Step-by-step explanation:

6% of 600 is 36

So 600-36= $564

Answer: $564

Step-by-step explanation:

Answer:

it will take 25 months until the cost is the same.

500 / 20 = 25

Step-by-step explanation:

Answer:

less than

Step-by-step explanation:

Answer:

n ≤ 25

Step-by-step explanation:

n - 8 ≤ 17

n - 8 (+8) ≤ 17 (+8)

n ≤ 25

n ≤ 25 is your answer

Hope this helps <3

Yes, the forester was justified in using a Normal model to analyze the woods, because the histogram is unimodal and symmetric. So option A is correct.

A histogram is a type of graph that uses vertical bars to show the distribution of a set of data. This particular histogram is unimodal, meaning that it has one peak which is an indication that the data is distributed normally. Additionally, the histogram is symmetric, which is another indication that the data is normally distributed.
Using a Normal model to analyze the woods is a valid approach because it allows the forester to identify the average diameter of the trees, as well as the spread of the data. It also allows him to check for any outliers, or points that fall outside the normal range. With this information, the forester can determine if the woods is suitable for sale, or if the buyer should be aware of any unexpected features.
Overall, the histogram is an effective way for the forester to analyze the data and determine if a Normal model is appropriate. By noting the unimodal and symmetric nature of the histogram, the forester can be sure that a Normal model will accurately represent the data, allowing him to make an informed decision about the woods.

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Answer:

B. the second graph.

Step-by-step explanation:

Literally the photo is on the question.

Second graph represents (y-3)²/25 + (x+1)²/4 > 1 and y <= square root{x+5}+2. Therefore, the correct option is option B.

The study of graphs, that are mathematical constructions used to represent pairwise relationships between things, is known as graph theory in mathematics. In this sense, a network consists of vertices, also known as nodes or points, linked by edges, also known as links or lines.

Undirected graphs, in which edges connect two vertices symmetrically, are distinguished from directed graphs, in which edges connect two vertices asymmetrically. One of the main topics that are investigated in discrete mathematics is graphs. Second graph represents (y-3)²/25 + (x+1)²/4 > 1 and y <= square root{x+5}+2.

Therefore, the correct option is option B.

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Answer:

3

Reasoning:

\(3(5+3)=15+9\)

Distribute three to the numbers to get 15+9.

Answer: =17x

Step-by-step explanation: hope this help, hope you understand it too.

Let's simplify step-by-step.

2x+5x+10x

Combine Like Terms:

=2x+5x+10x

=(2x+5x+10x)

=17x

Answer:

9.4

Step-by-step explanation:

The distance formula is d=√((x₂-x₁)²+(y₂-y₁)²)

d=√((8-0)²+(0-5)²)

d=√((8²)+(-5²))

d=√(64+25)

d=√(89)

d=9.433981

d=9.4

Hope this helps :-)

Answer: 9.4 units

Step-by-step explanation:

Answer:

8 fishes are in each tank

Step-by-step explanation:

53-29= 24

24÷3= 8

Answer:

16 and 25

Step-by-step explanation:

they are square numbers

1^2 = 1 .. etc.

this is a I

There is an error 2*2 is 4 lol realised I wrote tht whoops

Answer:

Step-by-step explanation:

You're given two things:

1. The first term of the sequence

2. A rule for how to find the next term of a sequence given a previous term

For example, we could define a sequence this way:

The first term is 1.

Each term is double the previous term.

So to find the second term, we take the term before it (1) and double it. So the second term is 2.

Now that we have the second term, we can double it to find the third term: 4

We can double the third term to get the fourth: 8

And so on.

The speed of the boat in still water is 18 mph.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

We know distance = speed×time.

Therefore, time = distance/speed.

Let, The speed of the boat at still water be 'x'.

Therefore, From the information,

94/(x + 6) = 47/(x - 6).

94(x - 6) = 47(x + 6).

94x - 564 = 47x 282.

47x = 846.

x = 18.

So, The speed of the boat is 18 mph in still water.

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Answer:

f(g(-1)) = -10

Step-by-step explanation:

f(-1) = -2(-1) -3

f(-1) = -5

g(-5) = (5^2) + 5(-5)

g(-5) = -10

The problem of unit root in standard regression and time-series models arises when a variable exhibits a non-stationary behavior, meaning it has a trend or follows a random walk. Unit root tests, such as the Dickey-Fuller and augmented Dickey-Fuller tests, are used to detect the presence of a unit root in a time series. These tests examine whether the coefficient on the lagged value of the variable is significantly different from one, indicating the presence of a unit root.

In standard regression analysis, it is typically assumed that the variables are stationary, meaning they have a constant mean and variance over time. However, many economic and financial variables exhibit non-stationary behavior, where their values are not centered around a fixed mean but instead follow a trend or random walk. This presents a problem because standard regression techniques may produce unreliable results when applied to non-stationary variables.

Time-series models, such as autoregressive integrated moving average (ARIMA) models, are specifically designed to handle non-stationary data. They incorporate differencing techniques to transform the data into a stationary form, allowing for reliable estimation and inference. Differencing involves computing the difference between consecutive observations to remove the trend or random walk component.

The Dickey-Fuller test and augmented Dickey-Fuller test are commonly used to detect the presence of a unit root in a time series. These tests examine the coefficient on the lagged value of the variable in a regression framework. The null hypothesis of the tests is that the variable has a unit root, indicating non-stationarity, while the alternative hypothesis is that the variable is stationary.

The Dickey-Fuller test is a simple version of the test that includes only a single lagged difference of the variable in the regression. The augmented Dickey-Fuller test extends this by including multiple lagged differences to account for potential serial correlation in the data. Both tests provide critical values that can be compared to the test statistic to determine whether the null hypothesis of a unit root can be rejected.

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Let's denote the base of the triangular face as "b" and the height as "h." According to the given information, the height is one-half of the base, so we have:

h = (1/2) * b

The length of the tent is 1 ft more than the base, so the length can be represented as:

l = b + 1

The volume of a triangular prism is given by the formula:

Volume = (1/2) * base * height * length

Substituting the given values into the volume formula, we have:

20 = (1/2) * b * ((1/2) * b) * (b + 1)

Simplifying the equation:

20 = (1/4) * b^2 * (b + 1)

Multiplying both sides by 4 to eliminate the fraction:

80 = b^2 * (b + 1)

Rearranging the equation:

b^3 + b^2 - 80 = 0

To find the dimensions of the tent, we need to solve this cubic equation. However, finding the exact solution for a cubic equation can be quite involved. Instead, we can approximate the solution using numerical methods or use a calculator or software to find the approximate value of "b."

Let's assume a rounded value of "b" and calculate the corresponding values of "h" and "l" to verify if they satisfy the conditions:

Assuming b ≈ 4, we can calculate:

h = (1/2) * 4 = 2 ft

l = 4 + 1 = 5 ft

Now, let's calculate the volume using these values:

Volume = (1/2) * 4 * 2 * 5 = 20 ft^3

Since the volume matches the given volume of 20 ft^3, we can conclude that the tent dimensions are approximately:

Base (b) ≈ 4 ft

Height (h) ≈ 2 ft

Length (l) ≈ 5 ft

Please note that these values are approximations based on the assumption of b ≈ 4. For an exact solution, it would be necessary to solve the cubic equation.

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Answer:

121 cm²

Step-by-step explanation:

Square's area formula is

A=a²

where a stands for a side of the square

A=(11 cm)²

A=121 cm²

whenever you're talking of area you put cm²

Answer:

Given :

To Find :

Using Formula :

\(\star\small{ \underline{\boxed{\sf{\red{Area_{(Square)} = {(Side)}^{2}}}}}}\)

Solution :

Substituting the given value in the required formula to find area of square :

\({\dashrightarrow{\small{{\sf{Area_{(Square)} = {(Side)}^{2}}}}}}\)

\({\dashrightarrow{\small{{\sf{Area_{(Square)} = {(11)}^{2}}}}}}\)

\({\dashrightarrow{\small{{\sf{Area_{(Square)} = {(11 \times 11)}}}}}}\)

\({\dashrightarrow{\small{{\sf{Area_{(Square)} = {(121)}}}}}}\)

\({\dashrightarrow{\small{{\sf{Area_{(Square)} = 121 \: {cm}^{2}}}}}}\)

\({\star{\small{\underline{\boxed{\sf{\pink{Area_{(Square)} = 121 \: {cm}^{2}}}}}}}}\)

Hence, the area of square is 121 cm².

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