Write the expression
−
3
x
2
+
2
y
2
+
5
x
y
−
2
y
+
5
x
2
−
3
y
2
in simplest form.

Answer:

C

Step-by-step explanation:

To convert kilograms into grams, you need to multiply the number you are converting by 1000.

I hope my answer helpe! :)

The coefficient of determination, denoted as R-squared (R²), is equal to the square of the correlation coefficient (r) between two variables. Therefore, if R-squared is 0.81, then: a. is 0.6561.

R² = r²

Taking the square root of both sides, we get:

r = ±√(R²)

Since the correlation coefficient is always between -1 and 1, we can eliminate options (c) and (d) which suggest that the correlation coefficient must be either positive or negative.

Option (b) suggests that the correlation coefficient could be either +0.9 or -0.9, but this is not correct since R-squared does not uniquely determine the sign of the correlation coefficient.

The correct answer is (a), which gives the precise value of the correlation coefficient:

r = ±√0.81 = ±0.9

Since the coefficient of determination is a measure of the proportion of variance in one variable that can be explained by the other variable, an R-squared of 0.81 indicates a strong positive linear relationship between the two variables.

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Answer:

  plot two points and draw a line through them

Step-by-step explanation:

The graph is created for this the same way it is for any function: find some points on the graph, plot them, and draw an appropriate curve through them.

Since this is a linear equation, the graph is a straight line. Only two points are needed to allow you to plot the entire line.

For b=0, the point is (b, C) = (0, 4.95)

For b=5, the point is (b, C) = (5, 24.90)

The graph might look like the attached.

_____

For b=5, the equation gives ...

  C = 4.95 +3.99(5) = 4.95 +19.95 = 24.90

Step-by-step explanation:

we plug in 0 for x in the equation hence

A = 1

we plug in 2 for x in the equation to find B

hence B = 5

Answer:

AA (similar)

Step-by-step explanation:

<Q = <U

64 + 37 = 101°

180 - 101 = 79°

<S is a reflexive angle, congruent on both sides.

AA similarity

Answer: 0.333

Step-by-step explanation:

Answer:

0.333

Step-by-step explanation:

Answer:

Question 1

Question 2

Assumed no replacement here

Question 3

Answer:

  XED is 2

  demand will likely be based on price

Step-by-step explanation:

You want the XED for Coke and Pepsi, given that a decrease in price of Pepsi from $2 to $1.75 per liter causes demand for Coke to fall from 6,000 to 4500 liters.

XED is the abbreviation for "cross-elasticity of demand." It is the ratio of the percentage change in the demand for one good to the percentage change in price for another.

  XED = (∆Q/Q)/(∆P/P)

  XED = ((4500 -6000)/(6000))/((1.75 -2.00)/(2.00)) = (2/6000)(-1500/-0.25)

  XED = 2

The XED is positive for substitute goods, and negative for complementary goods (bought together).

The relatively large positive XED for Coke and Pepsi indicates these brands are nearly interchangeable. Consumers will tend to choose one over the other based on price. Apparently, the price of $1.75 per liter of Pepsi is sufficiently low to cause a switch from Coke.

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Answer:

2A=

Step-by-step explanation:

Being in the same denominator makes the task much simpler.

Explanation:

A

=

X

+

Y

2

Simplify using the property

a

b

=

m

n

⇒

a

×

n

=

b

×

m

2

A

=

X

+

Y

2

A

−

X

=

Y

Hopefully this helps!

Answer:

the answer is y = 2a - 2x

Step-by-step explanation:

That's what I get when I solve for y

In this scenario, the State Department of Motor Vehicles (DMV) records indicate that 70% of vehicles passed the emissions testing on the first try in the previous year. A random sample of 200 cars tested in current year

a) To test the relevant hypotheses, we can set up the following null and alternative hypotheses:

- Null hypothesis (H0): The true proportion for this county during the current year is the same as the previous statewide proportion (p = 0.70).

- Alternative hypothesis (H1): The true proportion for this county during the current year differs from the previous statewide proportion (p ≠ 0.70).

Using a significance level of α = 0.05, we can perform a hypothesis test using the sample proportion. Based on the sample, we calculate the test statistic and compare it to the critical value from the standard normal distribution. If the test statistic falls within the critical region, we reject the null hypothesis and conclude that the true proportion differs from the previous statewide proportion.

b) To find the 95% confidence interval for the proportion of all vehicles in this county passing on the first try, we can use the sample proportion, margin of error formula, and the Z-score corresponding to the desired confidence level. This confidence interval can provide a range estimate for the true proportion in the county.

Using the confidence interval, we can also test the hypotheses in part (a) again by checking if the hypothesized proportion (p = 0.70) falls within the confidence interval. If it does not, we reject the null hypothesis and conclude that the true proportion differs from the previous statewide proportion.

In summary, the analysis involves conducting a hypothesis test and constructing a confidence interval to assess whether the true proportion of vehicles passing on the first try in the current year differs from the previous statewide proportion.

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Answer:

Approximately 0.51

Step-by-step explanation:

If events A and B are independent, then P(A and B) = P(A)*P(B) is a true equation.

We're given the following

     P(A) = 0.65

     P(A and B) = 0.33

So,

P(A and B) = P(A)*P(B)

0.33 = 0.65*P(B)

P(B) = 0.33/0.65

P(B) = 0.5076923076923

which is approximate. When we round to 2 decimal places, we get 0.51

Answer:

B

Step-by-step explanation:

Here, we want to calculate the square root of -√- (75)

That will be

-√(25)(-3)

= -5 √(-3)

√(-3) is same as 3i

So we have the root as;

-5i√3

Answer:

m = (c-2)/(a+b)

Step-by-step explanation:

am+ bm= c-2

Factor out m

m( a+b) = c-2

Divide each side by (a+b)

m( a+b) /(a+b)= (c-2)/(a+b)

m = (c-2)/(a+b)

Step-by-step explanation:

download photo math, top explain step by step

graphs and so many functions

A plane in r3 is defined parametrically as the set of points is n · u * b + n · v * c = n · (P - a).

To give an implicit description of a plane in R3, we need to find a single equation that describes all the points in the plane.

Let's assume that the plane is defined parametrically as the set of points:

P(u,v) = a + u * b + v * c

where a, b, and c are vectors in R3 and u and v are parameters.

To find the implicit equation, we can start by taking the cross product of the vectors b and c, which gives us a normal vector to the plane. Let's call this vector n.

n = b x c

Next, we can take the dot product of the normal vector n with the vector (P - a), where P is any point on the plane. This will give us an equation that describes all the points in the plane:

n · (P - a) = 0

Expanding this equation, we get:

n · (u * b + v * c) = n · (P - a)

Simplifying further, we get:

n · u * b + n · v * c = n · (P - a)

This is the implicit equation of the plane in R3.

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Answer:

negative direction

Step-by-step explanation:

A negative and a positive make a negative:

1/5 + (-4/5) = 1/5 - 4/5

Hope this helps!

Answer:

x=1  y=7

Step-by-step explanation:

−5x+2y=9

y=7x

Substitute the second equation into the first

-5x +2(7x) = 9

Distribute

-5x +14x = 9

Combine like terms

9x=9

Divide by 9

9x/9 =9/9

x= 1

Now find y

y = 7(1)

y = 7

Answer:

\(x=1\\y=7\)

Step-by-step explanation:

\(-5x+2y=9\\y=7x\)

Replace y in the first equation.

\(-5x+2(7x)=9\)

Distribute the 2 and combine like terms;

\(-5x+14x=9\\9x=9\)

Divide by 9

\(x=\frac{9}{9}\\ x=1\)

-----------------------------------------------

After having found x, you can replace it in any of the equations to find y. I'll use the second equation.

\(y=7x\\y=7(1)\\y=7\)

Answer:

No, it is not

Step-by-step explanation:

If you substitute 4 for x, the answer is 14. 14 does not equal 10. Therefore, it is not a solution.

The value of logm 4/m is 1.139 - 2 logm m. This means that we can express logm 4/m in terms of other logarithmic values without finding the exact value of m.

Given that logm 3 = 0.903, logm 4 = 1.139, and logm 7 = 1.599. We are to find logm 4/m.

Using the properties of logarithm, we have,

logm 4/m = logm 4 - logm m

               =1.139 - logm m               .....................................(1)

Again, using the properties of logarithm, we know that:

logm 4 = logm (2 × 2)  

        = logm 2 + logm 2

         = 1.139 = 2logm 2                    ..................................(2)

Substituting equation (2) into (1) gives:

logm 4/m = 2logm 2 - logm

           m = 2logm (2/m)          ..................................................(3)

Using the property of logarithm once again, we know that:

loga b = logc b / logc a                     ............................................(4)

Substituting equation (4) into equation (3), we have:

logm 4/m = 2 logm 2 - logm

m= logm [(2/m)² / m]                       .............................................(5)

Now, we are to find logm 4/m by substituting the given values.

Using equation (2), we have:

logm 2 = (1.139)/2

     = 0.5695

Using equation (5), we get:

logm 4/m = logm [(2/m)² / m]

logm 4/m = logm [4/m²m]

 logm 4/m = logm 4 - logm

logm 4/m = 1.139 - 2 logm m

Therefore, by using the properties of logarithm, we have found that logm 4/m = 1.139 - 2 logm m. This means that we can express logm 4/m in terms of other logarithmic values without finding the exact value of m.

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The code will generate a table with the desired structure, including the specified header widths and border color

To create a soccer league table with the given specifications, you can use HTML and CSS. Here's an example of the table code:

html

<style>

   table {

       border-collapse: collapse;

       width: 100%;

   }

   th {

       background-color: #efefef;

       border: 2px solid black;

       padding: 8px;

       text-align: left;

   }

   td {

       border: 2px solid black;

       padding: 8px;

   }

</style>

<table>

   <tr>

       <th style="width: 150px">Club</th>

       <th>Matches</th>

       <th>Wins</th>

       <th>Draws</th>

       <th>Losses</th>

       <th style="width: 100px">Points</th>

   </tr>

   <tr>

       <td>Team A</td>

       <td>10</td>

       <td>7</td>

       <td>2</td>

       <td>1</td>

       <td>23</td>

   </tr>

   <tr>

       <td>Team B</td>

       <td>10</td>

       <td>6</td>

       <td>2</td>

       <td>2</td>

       <td>20</td>

   </tr>

   <tr>

       <td>Team C</td>

       <td>10</td>

       <td>4</td>

       <td>3</td>

       <td>3</td>

       <td>15</td>

   </tr>

   <tr>

       <td>Team D</td>

       <td>10</td>

       <td>3</td>

       <td>4</td>

       <td>3</td>

       <td>13</td>

   </tr>

</table>

This code will generate a table with the desired structure, including the specified header widths and border color. You can add more rows or modify the values to match your actual data.

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Answer:

(D) -2

Step-by-step explanation:

Plug in r=5 and s=-7 to the equation:

-6(5)+(-7)-(5)(-7)

Now we can solve and simplify:

-30-7+35

Combine:

-2

Hey there!

-6r + s - rs

= -6(5) + (-7) - 5(-7)

= -6(5) - 7 - 5(-7)

= -30 - 7 - 5(-7)

= -30 - 7 + 5

= -37 - (-35)

= -2

Therefore, your answer is: -2

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Therefore, the forecasted sales value for year 33 is 829.

The forecasted sales value for year 33 based on the given linear regression trend line equation is not provided.

To calculate the forecasted sales value for year 33, we first need to have the x value that represents year 33.

Assuming that the x value for year 1 is 1, the x value for year 33 would be: 33 - 1 = 32.

Now, we can use this x value of 32 and the given linear regression trend line equation to calculate the forecasted sales value for year 33.

Ft = 93 + 23x, where x = 32.

Ft = 93 + 23(32)

Ft = 93 + 736

Ft = 829

Note: that the units of sales value are not provided, so we cannot determine the specific currency or product being sold.

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If a group consists of 3 men and 2 women, what is the probability that all the men end up sitting next to each other is 60%.

The first step in understanding the probability that the set of 3 men will end up sitting next to each other, we have to determine the number of seating arrangements and divide by the likely number of seating arrangements. Like this:

Then, based on this data, we can build our permutation, which will be:

Therefore, the probability found for the set of men to sit next to each other is 0.6 or 60%.

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Answer:

\(Goat = 2080IU\)

Step-by-step explanation:

Given

Ratio = 3 : 4

Litre of cow = 1560IU

Required

IU of a litre of goat

The ratio represents ratio of cow milk to goat milk

In other words;

\(Cow:Goat = 3 : 4\)

To calculate the number of IU in a litre of goat milk; we substitute Cow with 1650 in the above expression

\(Cow:Goat = 3 : 4\)

\(1560:Goat = 3 : 4\)

Convert  to fraction

\(\frac{1560}{Goat} = \frac{3}{4}\)

Multiply both sides by 4

\(4 * \frac{1560}{Goat} = \frac{3}{4} * 4\)

\(\frac{4 * 1560}{Goat} = \frac{ 4 * 3}{4}\)

\(\frac{6240}{Goat} = 3\)

Multiply both sides by Goat

\(Goat * \frac{6240}{Goat} = 3 * Goat\)

\(6240 = 3 * Goat\)

Divide both sides by 3

\(\frac{6240}{3} = \frac{3 * Goat}{3}\)

\(\frac{6240}{3} = \frac{3 * Goat}{3}\)

\(2080 = Goat\)

\(Goat = 2080\)

Answer:

All the points are the same distance from the center of line AB, therefore it is just the same triangle but rotated. They are the same triangle .

Step-by-step explanation:

\((20341)_5\\\\=(2 \times 5^4 + 0 \times 5^3 + 3 \times 5^2 +4 \times 5^1 +1\times 5^0)_{10}\\\\=(2 \times 625+0+3 \times 25 +20 +1)_{10}\\\\=(1250+75+21)_{10}\\\\=(1346)_{10}\)

Answer:

The amount she saves is 25% of her income

Step-by-step explanation:

She is paid $11 per hour

She works 9 hours per day

and for 24 days per month

So, she works 9(24) hours per month

= 216 hours per month

Now, she is paid $11 hourly, so for 216 hours,

she will have 11(216) = $2376

Total income = $2376 per month

Saving = $594 per month

As a percentage, we divide the savings by the total income,

savings/(total income) = 594/2376 = 1/4 = 0.25

Hence we get 25%