can someone tell me how to do area i forgot

Answer:

x = -5

Step-by-step explanation:

9 - 19 = 9x - 7x

2x = -10

Answer:

d

Step-by-step explanation:

i just took the test

The residents of City A are more likely to use public transportation because the city has the highest population density. Therefore, the correct option is A.

Population density is the amount of people living in a specific area. In this example, City A has 29,455 residents in an area of ​​19.42 square miles, while City B has 34,890 residents in an area of ​​25.4 square miles.

Due to the large number of people living in the small space, the population density is high in City A. Greater demand for public transport services, such buses, is often brought about by higher population density as residents find these services more practical and cost effective to use for commuting and travel. As a result of their increased population density, people in City A are more inclined to use public transport.

Therefore, the correct option is A.

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Answer:

(4,4)

Step-by-step explanation:

The solution set of the system of equations can be found by setting the two equations equal to each other and solving for x.

x^2 - 6x + 12 = 2x - 4

x^2 - 8x + 16 = 0

(x - 4)^2 = 0

x = 4

Since both equations in the system are equal to y, we can substitute x = 4 into either equation to find the corresponding value of y.

y = 2x - 4 = 2(4) - 4 = 4

Therefore, the solution of this system of equations is (4, 4).

Therefore, the correct answer is (4, 4).

Answer:

Undermentioned explanation, similarity & dissimilarity between long division & multiplication of polynomials

Step-by-step explanation:

Long Division of Polynomial steps :

Complete missing terms in divisor with zero coefficients, sort terms in decreasing exponential order

Divide leading term, multiply divisor x quotient, subtract partial product & carry down remainder ............ (continue same)

Multiplication of Polynomial steps :

Multiply the 1st, 2nd, 3rd term(s) in the first polynomial with 1st, 2nd, 3rd consecutive term(s) in the second polynomial........... (go on)

Similarity (ies) : Both involve term by term treatment, multiplying monomial & polynomial

Dissimilarity (ies) : Division includes subtracting of exponential power. However, multiplication includes adding of exponential power

It is requred to test the exactness of the given ODE and then find its general solution. Then, if the given ODE is not exact, an integrating factor must be used to make it exact.

This given ODE is:(2xy - 2y²e^(3x))dx + (x² - 2ye^(2x))dy = 0.To verify the exactness of the given ODE, we determine whether or not ∂Q/∂x = ∂P/∂y, where P and Q are the coefficients of dx and dy respectively, as follows: P = 2xy - 2y²e^(3x) and Q = x² - 2ye^(2x).Then, we have ∂P/∂y = 2x - 4ye^(3x) and ∂Q/∂x = 2x - 4ye^(2x).Thus, since ∂Q/∂x = ∂P/∂y, the given ODE is exact.To solve the given ODE, we have to find a function F(x,y) that satisfies the equation Mdx + Ndy = 0, where M and N are the coefficients of dx and dy respectively. This is accomplished by integrating both P and Q with respect to their respective variables. We have:∫Pdx = ∫(2xy - 2y²e^(3x))dx = x²y - y²e^(3x) + g(y), where g(y) is a function of y. We differentiate both sides of this equation with respect to y, set it equal to Q, and then solve for g(y). We have:(d/dy)(x²y - y²e^(3x) + g(y)) = x² - 2ye^(2x)Thus, g'(y) = 0 and g(y) = C, where C is a constant.Substituting the value of g(y) in the equation above, we get:x²y - y²e^(3x) + C = 0, as the general solution.The given ODE is exact, so we can solve it by finding a function that satisfies the equation Mdx + Ndy = 0. After integrating both P and Q with respect to their respective variables, we find that the general solution of the given ODE is x²y - y²e^(3x) + C = 0.

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Answer:

D

Step-by-step explanation:

Since x can be  bigger than -3, or equal to -3,the circle is closed,meaning both are included

The arrow should go to the right when is bigger than....

Answer:

No they are not equal;

a = -13

Step-by-step explanation:

Here, we want to find the value of a

We are gong to use the ratio given

That will be;

a + 3/ 7 + a = 4/5

5(a + 3) = 4(7 + a)

15 + 3a = 28 + 4a

4a - 3a = 15-28

a = -13

The median charge is $51. The median of a data set is also called the middle value.

Median is the value of the middle point in a data set. Here is how to find the median.

A sample of the paramedical fees:  $55, $49, $50, $45, $52, and $55. Find the median!

The number of the data is 6.

Let's sort the data form the smallest!

$45, $49, $50, $52, $55, $55

The middle part of the data is $50 and $52. The median is

($50 + $52)/2 = $102/2 = $51

Hence, the median of the data is $51.

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Answer:

A. 1.20x; individuals signing up the day of the activity get charged 20% more

Step-by-step explanation:

Amount charged before the day of activity = x

Amount charged on any individual who decides to sign up on the day of activity would be the normal price, x dollars, plus an additional price of 0.20x dollars.

0.20x = 20% of x.

That is, the additional fee added to the normal price is 20% of the normal price.

Therefore, amount paid on the day of the activity is x + 0.20x = 1.20x dollars.

What this fee means is that those who decide to sign up on the day of the activity are charged 20% more.

Answer:

B) t = l / pr

Step-by-step explanation:

l = prt

l / pt = t

Change from multiplication to division

=== Thanks ===

a) - 90/9 = -10 (decrease by 10 dollars each)

b) 7 members/week * 28 weeks = 196 members (increase by 196 members)

Answer:

3. 324+432=756 in cubed

4. 2100+7200=9300 yd cubed

She will need 1.34 pounds of salt for a full of bucket of water.

It is given that, Kayke mixes 1/6 pound of salt with 1/8 bucket of water to make a saline solution.

With 1/8 bucket of water she mixes 1/6 pound of salt.

1/8 bucket of water = 1/6 pounds of salt

Now, using unitary method to find salt needed to use for a full bucket of water.

So,

1 bucket of water = 8/6 pounds of salt

= 1.34 pounds of salt.  

She will need 1.34 pounds of salt for a full of bucket of water.

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Answer:

Given inequalities:

Solution is attached

       For C1(Q) = 3 - 2Q.

        For C2(Q) =  4.

     2. The AVC function

           For C1(Q) = 5/Q + 3 + 20/Q - Q.

           For C2(Q) = 3/Q + 4 + 2/Q.

     3. The AFC function

              For C1(Q)= 5/Q - 20/(5 + 3Q + 20/Q - Q)

              For C2(Q) = 0.

     4.  To find the AC function

        For C1(Q) = (5 + 3Q + 202 - Q^2)/Q + 5/Q - 20/(5 + 3Q + 20/Q - Q).

         For C2(Q) = (3 + 4Q + 2)/Q + 3/Q + 4 + 2/Q.

    5.To find the ATC function

    For C1(Q)= 5/Q² + 3/Q + 20/Q² - Q/Q + 5/Q - 20/(5Q + 3Q² + 20 - Q²)

     For C2(Q)= 3/Q² + 4/Q + 2/Q² + 3/Q + 4/Q + 2/Q.

1. To find the MC function, we take the derivative of the cost functions with respect to Q.

For C1(Q) = 5 + 3Q + 202 - Q^2, MC1(Q) = 3 - 2Q.

For C2(Q) = 3 + 4Q + 2, MC2(Q) = 4.

2. To find the AVC function, we divide the cost functions by Q.

For C1(Q), AVC1(Q) = (5 + 3Q + 202 - Q^2)/Q = 5/Q + 3 + 20/Q - Q.

For C2(Q), AVC2(Q) = (3 + 4Q + 2)/Q = 3/Q + 4 + 2/Q.

3. To find the AFC function, we subtract the AVC function from the ATC function.

For C1(Q), AFC1(Q) = (5 + 3Q + 202 - Q^2)/Q - (5 + 3Q + 202 - Q^2)/(5 + 3Q + 20/Q - Q)

= 5/Q - 20/(5 + 3Q + 20/Q - Q).

For

C2(Q), AFC2(Q) = (3 + 4Q + 2)/Q - (3 + 4Q + 2)/(3/Q + 4 + 2/Q) = 0.

4. To find the AC function, we add the AVC function to the AFC function.

For

C1(Q), AC1(Q) = (5 + 3Q + 202 - Q^2)/Q + 5/Q - 20/(5 + 3Q + 20/Q - Q).

For

C2(Q), AC2(Q) = (3 + 4Q + 2)/Q + 3/Q + 4 + 2/Q.

5. To find the ATC function, we divide the AC function by Q.

For

C1(Q), ATC1(Q) = [(5 + 3Q + 202 - Q²)/Q + 5/Q - 20/(5 + 3Q + 20/Q - Q)]/Q

= 5/Q² + 3/Q + 20/Q² - Q/Q + 5/Q - 20/(5Q + 3Q² + 20 - Q²).

For

C2(Q), ATC2(Q) = [(3 + 4Q + 2)/Q + 3/Q + 4 + 2/Q]/Q

= 3/Q² + 4/Q + 2/Q² + 3/Q + 4/Q + 2/Q.

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To prove that 3x ≤ y, assume the opposite, that is, 3x > y, rearrange the inequality substitute x < 2y and simplify, contradict the given condition that x < 2y, therefore, concluding that 3x ≤ y.

Start by assuming the opposite, that is, 3x > y.

From the given inequality,\(7xy \leq 3x^2 + 2y^2,\), we can rearrange to get:
\(7xy - 3x^2 \leq 2y^2\)

We can substitute \(x < 2y\) into this inequality:
\(7(2y)x - 3(2y)^2 \leq 2y^2\)

Simplifying, we get:
\(y(14x - 12y) \leq 0\)

Since y is a real number, this means that either y ≤ 0 or 14x - 12y ≤ 0.

If y ≤ 0, then 3x ≤ y is trivially true.

If 14x - 12y ≤ 0, then we can rearrange to get:
3x ≤ (12/14)y
3x ≤ (6/7)y
3x < y (since we assumed 3x > y)

But this contradicts the given condition that x < 2y, so our assumption that 3x > y must be false.

Therefore, we can conclude that 3x ≤ y.

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The forest fires in southern Mexico and Guatemala consumed forest land at a rate of 28,600 acres per week.

During May 1998, forest fires in southern Mexico and Guatemala were burning at a significant rate, resulting in the spread of smoke all the way to Austin. The fires were consuming forest land at a rate of 28,600 acres per week. This indicates the amount of forest area that was destroyed or affected by the fires within a span of one week.

The figure of 28,600 acres per week provides an understanding of the magnitude and impact of the forest fires. It highlights the rapid rate at which the fires were spreading and consuming the forested areas. Forest fires are known to have severe ecological and environmental consequences, including loss of biodiversity, destruction of habitats, and degradation of air quality due to the smoke generated. The fact that the smoke from these fires reached Austin suggests the vast distance covered by the smoke plume, indicating the scale and intensity of the fires.

Forest fires are a significant concern as they pose risks to both human lives and natural ecosystems. They can have long-lasting effects on the affected regions, requiring extensive recovery and rehabilitation efforts. Monitoring and managing forest fires, along with implementing preventive measures, are crucial for minimizing their impact and protecting valuable forest resources.

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The probability of getting injured by falling off a ladder is approximately 0.0001113.

The odds against getting injured by falling off a ladder are 8,988 to 1. This means that for every 8,988 people who do not get injured by falling off a ladder, only one person does get injured by falling off a ladder.

To determine the probability of the underlined event, we can use the formula:

Probability = 1 / (odds + 1)

Plugging in the given odds, we get:

Probability = 1 / (8,988 + 1)

Probability = 1 / 8,989

Probability ≈ 0.0001113

Therefore, the probability of getting injured by falling off a ladder is approximately 0.0001113, or about 0.01113%. This is a very low probability, which highlights the importance of taking safety precautions when using a ladder.

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The dot plot has 43 dots.

The dot plot has 10 dots to the left of the center and 1 dot to the right of the center.

The center of the data set is 6.

This can be solved using the concept of dot plot.

For relatively small data sets with values falling into a handful of discrete bins, a dot plot, also known as a dot chart, is a sort of straightforward histogram-like display used in statistics. To create a dot plot, count the data points that fall into each bin and then draw a stack of dots that is that many dots high for each bin. The form and distribution of sample data may be seen using dot plots, which are particularly helpful when comparing frequency distributions. The frequency distribution of a dataset shows how frequently certain values occur. Dot plots display the same kinds of data as histograms.

From the given figure it is clear that 1 has 6 dots, 2 has 5 dots, 3 has 4 dots, 4 has 2 dots, 5 has 3 dots, and 6 has 2 dots. It means the data set is:

1,6,2,5,3,4,4,2,5,3,6,2

Total number of observations = 43

The dot plot has 43 dots.

Median:

43 is an odd number, so the median of the data is:

Median = {(n+1)/2} / 2

Median = 11

The 11th term of the data is 6, therefore the median of the data is 6.

The dot plot has 10 dots to the left of the center and 1 dot to the right of the center.

The center of the data set is 6.

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Answer:

3

Step-by-step explanation:

2 times 1 is 2 and then multiply 1/2 by 2 and you'll get 1 then add those two numbers together and you will get 3.  Note: The best way to do these types of things in multiplication is to split the numbers up among the decimal places so if you did 15 times 4 then an easy way to do it would be to split the 15 with 10 and 5 so then multiply the 10 by 4 and you get 40 now do the same to the 5 and you get 20 so now add those two numbers together and you get 60(This has nothing to do with the answer i just want to help make it easier for future problems such as this).

Answer:

3

Step-by-step explanation:

[Given]

2 * \(1\frac{1}{2}\)

[Make improper fractions and solve by multiplying across]

\(\frac{2}{1}*\frac{3}{2} =\frac{6}{2}=3\)

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

t = 5

Step-by-step explanation:

t - 26 = -21

t - 26 + 26 = -21 + 26

t = 5

Answer:

t = 5

Step-by-step explanation:

t - 26 = - 21 ( add 26 to both sides )

t = - 21 + 26 = 5

In summary, fy(a,b) is the slope of the tangent line to the surface defined by f(x, y) at the point (a, b) in the y-direction.

The given expression represents the partial derivative of f(x, y) with respect to y, evaluated at (a, b):

fy(a,b) = lim┬(y→b)⁡〖[f(a,y) - f(a,b)]/(y - b)〗

Geometrically, this partial derivative represents the slope of the tangent line to the surface defined by f(x, y) at the point (a, b) in the y-direction.

To see why this is the case, consider the following argument:

Let L be the limit in the expression given above.

Let h = y - b be the change in the y-coordinate from b to y.

Then, we can rewrite the limit as:

fy(a,b) = lim┬(h→0)⁡〖[f(a,b + h) - f(a,b)]/h〗

This expression represents the average rate of change of f(x, y) with respect to y over the interval [b, b + h].

As h approaches 0, this average rate of change approaches the instantaneous rate of change, which is the slope of the tangent line to the surface defined by f(x, y) at the point (a, b) in the y-direction.

Therefore, fy(a,b) is the partial derivative of f(x, y) with respect to y, evaluated at (a, b).

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The power rule for logarithms states that logb(M^p) = p * logb(M). The logarithm of a number with an exponent is the product of the exponent and the logarithm of that number.

The power rule states that logb(M^p) = p * logb(M), where M, b, and p are positive real numbers.

To understand this rule, let's consider an example. Suppose we have log2(8^2). According to the power rule, this is equivalent to 2 * log2(8).

In this case, M is 8, b is 2, and p is 2. The power rule tells us that we can bring the exponent (p) down and multiply it with the logarithm of the base (b) raised to the number (M).

So, log2(8^2) can be simplified as 2 * log2(8), which is 2 * 3 = 6.

In general, the power rule allows us to simplify logarithmic expressions by bringing the exponent down and multiplying it with the logarithm of the base.

This rule is particularly useful when dealing with complex logarithmic expressions and simplifying them to a more manageable form.

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Answer:

Step-by-step explanation:

Its either a or b

We should not reject the null hypothesis. Yes, the T-square and F-value matters in making decision here because T-square measures population difference, F-value measures significance.

According to the given information, the null hypothesis (H0) states that the means of two populations (μ1 and μ2) are equal, while the alternative hypothesis (Ha) suggests that the means are not equal.

To determine whether we should reject the null hypothesis, we need to consider the evidence provided, including the two-sample Hotelling's T-square statistic, the F-value, the degrees of freedom, and the p-value.

1. T-square statistic:
The T-square statistic measures the overall difference between the two populations based on the sample data. In this case, the T-square statistic is calculated as 6.012.

2. F-value:
The F-value is used to assess the significance of the T-square statistic. It is calculated using the degrees of freedom associated with the numerator and denominator. Here, the F-value is approximately 0.951, with 6 and 93 degrees of freedom.

3. p-value:
The p-value represents the probability of obtaining the observed T-square statistic (or a more extreme value) under the assumption that the null hypothesis is true. In this case, the p-value is 0.463.

To make a decision regarding the null hypothesis, we typically compare the p-value to a predetermined significance level (α). If the p-value is less than α, we reject the null hypothesis; otherwise, we fail to reject it. The common significance level is 0.05 (5%).

In this case, the p-value (0.463) is greater than the significance level (0.05). Therefore, we do not have sufficient evidence to reject the null hypothesis. This means that we cannot conclude that the means of the two populations are significantly different.

Regarding the T-square and F-value, they are both used in the Hotelling's T-square test. The T-square statistic measures the overall difference between the populations, while the F-value assesses the significance of this difference. In this context, both values are important in understanding the evidence and making a decision about the null hypothesis.

In summary, based on the given evidence (T-square = 6.012, F = 0.951, df = 6, 93, p-value = 0.463), we do not have enough evidence to reject the null hypothesis. Both the T-square and F-value are crucial in evaluating the significance of the observed difference between the populations.

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The vector v = [2, 7, 1, 4] can be expressed as the sum of x = [0, 2, 2, 0] belonging to the subspace S and y = [2, 9/2, -3/2, 4] perpendicular to S.

To express the vector v = [2, 7, 1, 4] as a sum of two vectors, one belonging to the subspace S spanned by [0, 1, 1, 0] and [1, 1, 1, 1], and the other perpendicular to S, we can use the projection.

First, let's find a vector x that belongs to S and find the projection of v onto S. The vector x can be written as a linear combination of the basis vectors of S:

x = a * [0, 1, 1, 0] + b * [1, 1, 1, 1],

where a and b are scalar coefficients to be determined.

To find the coefficients a and b, we can solve the system of equations:

a * [0, 1, 1, 0] + b * [1, 1, 1, 1] = [2, 7, 1, 4].

This system of equations can be written as:

a + b = 2,

a + b = 7,

a + b = 1,

a + b = 4.

From the first and second equations, we can see that a = 2 and b = 0.

Therefore, the vector x belonging to S is:

x = 2 * [0, 1, 1, 0] = [0, 2, 2, 0].

Next, let's find the vector y that is perpendicular to S. We can obtain y by subtracting the projection of v onto S from v:

y = v - proj_S(v).

The projection of v onto S is given by:

proj_S(v) = [(v · u) / (u · u)] * u,

where u is any vector in S. Let's choose u = [0, 1, 1, 0]:

proj_S(v) = [(v · [0, 1, 1, 0]) / ([0, 1, 1, 0] · [0, 1, 1, 0])] * [0, 1, 1, 0].

Calculating the dot products, we have:

proj_S(v) = [(2 + 7 + 0 + 0) / (0 + 1 + 1 + 0)] * [0, 1, 1, 0]

= [9 / 2] * [0, 1, 1, 0]

= [0, 9/2, 9/2, 0].

Now, we can calculate y:

y = v - proj_S(v)

= [2, 7, 1, 4] - [0, 9/2, 9/2, 0]

= [2, 7 - 9/2, 1 - 9/2, 4]

= [2, 5/2, -7/2, 4].

Therefore, the vector v can be expressed as the sum of x and y:

v = x + y

= [0, 2, 2, 0] + [2, 5/2, -7/2, 4]

= [2, 9/2, -3/2, 4].

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Answer:

A line of best fit is a straight line going through a trend on a scatter plot.

Step-by-step explanation:

A well drawn line of best fit is just a line going straight through the trend of dots to approximate an exact trend from a non-exact plot, so just draw a line that stays in the middle of the dots and you should do great.

Hope this helped!

The value of surface area is,

SA = 570 cm²

Given that;

Base of house = 6 cm

And, Height of house = 19 cm

Since, The shape of house is like a prism.

We know that;

Area of Prism is,

SA = 2B + ph,

where B, stands for the area of the base, p represents the perimeter of the base, and h stands for the height of the prism.

Hence, We get;

SA = 2 × (1/2 x 6 × 19) + 2 (6 + 6) × 19

SA = 114 + 456

SA = 570 cm²

Hence, The value of surface area is,

SA = 570 cm²

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Answer:

123.5

Step-by-step explanation: