Daniel made 36 cards that are all the same size and shape. Each card has a single number on it, 1, 2, 3, 4, 5, or 6, and is red or green as shown in the table. For example, there are 2 red cards that have the number 5 on them.

To get all whole number subscripts in the empirical formula, you would need to multiply the subscripts by a common factor that will give you the smallest possible whole numbers. In this case, you would need to multiply all subscripts by 3 to get C8H9O3.

This is because 2.67 is approximately equal to 8/3, 3 is approximately equal to 9/3, and 1 is equal to 3/3. Multiplying by 3 will simplify the subscripts and give you a whole number ratio of atoms in the empirical formula. This method works for any pseudo-formula with non-whole number subscripts, as long as you find a common factor to multiply by that will give you whole numbers.

In this case, you can divide each subscript by the smallest one (1) to get the ratio: C2.67: H3: O1. Now, find the smallest whole number that can convert 2.67 into a whole number when multiplied. In this case, that number is 3. So, multiply all subscripts by 3:

C(2.67 x 3)H(3 x 3)O(1 x 3) = C8H9O3

This gives you an empirical formula of C8H9O3.

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Answer:

200

Step-by-step explanation:

1cm=50m

1*4=50*4

4=200 miles

Answer:

4.5 inches

Step-by-step explanation:

volume= 1/3 (base area) × height

47.25= 1/3 ( base area) × 7

20.25 = base area

now since the base is a square we can evaluate base area = length²

20.25= length²

length = 4.5 inches

Answer:

a

Step-by-step explanation:

we know that g(x) means y therefore in this case let's suppose we have the coordinate (5;y) so we must find the corresponding y value

*DO THE TRIAL AND ERROR METHOD*

take any equation above and substitute the value of x of which is 5 and the corresponding value should be 1.

\(g(x) = (\frac{1}{5} x) {}^{2} \)

It will take 12 seconds until Hudson and Knox have run the same number of feet.

Let's denote the time it takes until Hudson and Knox have run the same number of feet as "t" (in seconds).

The distance Hudson runs can be calculated by multiplying his speed (8.8 feet/second) by the time "t". Thus, the distance Hudson covers is 8.8t feet.

Knox, on the other hand, had a head start of 30 feet. So the distance Knox covers can be calculated by multiplying his speed (6.3 feet/second) by the time "t" and adding the head start of 30 feet. Thus, the distance Knox covers is 6.3t + 30 feet.

To find the time when both runners have covered the same distance, we set their distances equal to each other:

8.8t = 6.3t + 30

Simplifying the equation:

2.5t = 30

Dividing both sides by 2.5:

t = 30 / 2.5

t = 12

Therefore, it will take 12 seconds until Hudson and Knox have run the same number of feet.

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Answer:

-x + 7

Step-by-step explanation:

Answer:

-x+7

Step-by-step explanation:

2x-2-3x+9

2x+7-3x

-x+7

Answer:

multiply the total meal cost by .87 to get your answer

Step-by-step explanation:

Answer:

23

Step-by-step explanation:

6x + 11 + 7x + 143 = 180

13x + 154 = 180

13x = 26

x = 2

m<RPS = 6(2) + 11 = 23

The option A is correct answer which is Normal distribution.

What is Normal distribution?

A sort of continuous probability distribution for a random variable with a real value is called a normal distribution or a Gaussian distribution in statistics.

When testing a population mean and the standard deviation with large sample size so we used Normal distribution.

Hence, the option A is correct answer which is Normal distribution.

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Answer:

\( z = -1.23\)

And we can calculate the p value with the following probability taking in count the alternative hypothesis:

\( p_v = P(z<-1.23) = 0.1093\)

And for this case using a significance level of \(\alpha=0.05 ,0.1\) we see that the p value is larger than the significance level so then we can conclude that we FAIL to reject the null hypothesis and we don't have enough  evidence to conclude that the true proportion is less than 0.02

Step-by-step explanation:

For this case we want to test the following system of hypothesis:

Null hypothesis: \(p =0.02\)

Alternative hypothesis: \( p < 0.02\)

The statistic for this case is given by:

\(z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}\) (1)  

And for this case we know that the statistic is given by:

\( z = -1.23\)

And we can calculate the p value with the following probability taking in count the alternative hypothesis:

\( p_v = P(z<-1.23) = 0.1093\)

And for this case using a significance level of \(\alpha=0.05 ,0.1\) we see that the p value is larger than the significance level so then we can conclude that we FAIL to reject the null hypothesis and we don't have enough  evidence to conclude that the true proportion is less than 0.02

Answer:

11 ft^2 - 12 ft^2

Step-by-step explnation

count the six in the middle.

for the two halvs on both the top and the bottom count them each as one so the total would be two for those

for the ones on the sides i counted them as three because if you were to add them all together it looks like it could be three or four (take the center pice and add it to the ends after breaking it in half)

The contrapositive statement of "If it does not have four legs, then it is a fish." is  "If it is not a fish, then it has four legs" .Option C

A contrapositive statement is simply defined as a law or rule obtained by contradicting the conclusion and hypothesis of a statement.

It includes the exchange of both the hypothesis and conclusion of a particular conditional statement before negating both the hypothesis and conclusion.

It is also known for the combination of a converse and an inverse statement.

The hypothesis and conclusion are switched or interchanged

A contrapositive statement is represented as;

x y is equivalent to y ~x

Given the statement:

"If it does not have four legs, then it is a fish."

The contrapositive statement would be;

If it is not a fish, then it has four legs.

We can see that the hypothesis and conclusion were interchanged accordingly.

Hence, the statement is "If it is not a fish, then it has four legs"

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Answer: C: If it is not a fish, then it has four legs.

Step-by-step explanation: Hope that helped!

The peak is at y = 24 feet, the vertex point (h, k) is (16, 24). Plugging these values into the equation, we get:

y = |x - 16| + 24

This equation models the roof line of Terry's house.

To model the roof line of Terry's house, we can use the concept of absolute value. The equation for an absolute value function can be written as:

y = |x - h| + k

where (h, k) represents the vertex of the absolute value graph.

In this case, the peak of the roof line is at 24 feet. Since the width of the house is 32 feet, the vertex of the absolute value graph will be at the midpoint of the width, which is 16 feet. Therefore, h = 16.

Since the peak is at y = 24 feet, the vertex point (h, k) is (16, 24). Plugging these values into the equation, we get:

y = |x - 16| + 24

This equation models the roof line of Terry's house.

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To solve for \(V_2\) in the equation \(M_1 \cdot V_1 = M_2 \cdot V_2\) with the given values \(M_1 = 22.7\), \(V_1 = 2.70\), and \(M_2 = 5.24\), we can rearrange the equation to isolate \(V_2\). The solution for \(V_2\) is approximately 12.1.

To explain the solution further, we start with the equation \(M_1 \cdot V_1 = M_2 \cdot V_2\) and the given values: \(M_1 = 22.7\), \(V_1 = 2.70\), and \(M_2 = 5.24\).

Rearranging the equation to solve for \(V_2\), we divide both sides of the equation by \(M_2\): \(\frac{{M_1 \cdot V_1}}{{M_2}} = V_2\).

Substituting the given values, we have \(\frac{{22.7 \cdot 2.70}}{{5.24}}\), which can be evaluated to find \(V_2 \approx 12.1\).

This calculation is based on the principle of the dilution formula, which states that the initial concentration and volume of a solution are equal to the final concentration and volume when diluted. By rearranging the equation and plugging in the given values, we can determine the unknown volume, \(V_2\), in the equation. The resulting value of 12.1 indicates the volume required to achieve the desired concentration in the dilution process.

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To solve for \(V_2\) in the equation \(M_1 \cdot V_1 = M_2 \cdot V_2\) with the given values \(M_1 = 22.7\), \(V_1 = 2.70\), and \(M_2 = 5.24\), we can rearrange the equation to isolate \(V_2\). The solution for \(V_2\) is approximately 12.1.

To explain the solution further, we start with the equation \(M_1 \cdot V_1 = M_2 \cdot V_2\) and the given values: \(M_1 = 22.7\), \(V_1 = 2.70\), and \(M_2 = 5.24\).

Rearranging the equation to solve for \(V_2\), we divide both sides of the equation by \(M_2\): \(\frac{{M_1 \cdot V_1}}{{M_2}} = V_2\).

Substituting the given values, we have \(\frac{{22.7 \cdot 2.70}}{{5.24}}\), which can be evaluated to find \(V_2 \approx 12.1\).

This calculation is based on the principle of the dilution formula, which states that the initial concentration and volume of a solution are equal to the final concentration and volume when diluted. By rearranging the equation and plugging in the given values, we can determine the unknown volume, \(V_2\), in the equation. The resulting value of 12.1 indicates the volume required to achieve the desired concentration in the dilution process.

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The equation is given as

\(y = 12 sin (6t - \pi /2) + 2\)

The Amplitude can be calculated as

\(amplitude = \frac{max + min}{2}\\ amplitude = \frac{10+14}{2} = 12\)

The vertical shift is the average difference between the maximum and minimum.

\(Vertical Shift = \frac{Max - Min}{2} = \frac{14-10}{2} = 2\)

For b value

The Time Period will be twice the distance between max and min.

\(time period = \frac{2\pi }{b} \\time period = 2 * distance between max and min\\b = \frac{2\pi }{2}*\frac{1}{b} = \frac{\pi }{6}\)

The period is calculated as

\(T = \frac{2\pi }{b} \\T = \frac{2\pi }{\frac{\pi }{b} } = 12\)

The equation is given as

\(y = 12 sin (6t - \pi /2) + 2\)

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Answer:

I) The roots are:

First Case:

\(x=-2\text{ or } x=-6\)

Second Case:

\(x=2\text{ or } x=6\)

II) Possible values of p are:

First Case:

\(p=-12\)

Second Case:

\(p=4\)

Step-by-step explanation:

We have the equation:

\(x^2-(4+p)x+12=0\)

We know that one of the roots is three times the other.

And we want to find the roots of the equation and the possible values for p.

To find our solutions, we can use the process of factoring.

If we have an equation in the form:

\(x^2+bx+c=0\)

We want to find two numbers, say, k and j, such that:

\(\displaystytle kj=c\text{ and } k+j=b\)

After finding them, we can factor as such:

\((x+k)(x+j)\)

So, -k and -j will be our zeros.

Therefore, for our equation, we will find two numbers k and j such that:

\(\displaystyle kj=12\text{ and } k+j=-(4+p)\)

Notice that for the first criterion, we can simply list all the factors of 12.

So, according to the first equation, possible values of k and j are:

1 and 12; 2 and 6; or 3 and 4.

Then, our roots will be -1 and -12; -2 and -6; or -3 and -4, respectively.

However, remember that one of our roots is three times the other.

Therefore, the only candidates that work will be the second option.

Hence, k and j are 2 and 6.

Therefore:

\(k=2\text{ and } j=6\)

With this information, we can now determine p. Since:

\(k+j=-(4+p)\)

Then it follows that:

\(\begin{aligned}(2)+(6)&=-(4+p)\\8&=-(4+p)\\-8&=4+p\\p&=-12\end{aligned}\)

Hence, our equation is:

\(x^2-(4+-12)x+12=0\)

Or, factored:

\(x^2+8x+12=0 \text{ or } (x+6)(x+2)=0\)

So, our roots are x=-6 and x=-2 when p=-12.

However, we also need to consider the negative factors of 12.

Factors of 12 also include -2 and -6.

Hence, our k and j can also be k=-2 and j=-6.

Then, in this case, our p is :

\(\begin{aligned} (-2)+(-6)&=-(4+p)\\-8&=-(4+p)\\8&=4+p\\p&=4\end{aligned}\)

Therefore, for our second case, k=-2 and j=-6. Then p=4. So, our equation is:

\(x^2-(4+4)x+12=0\)

Or, factored:

\(x^2-8x+12\text{ or } (x-2)(x-6)=0\)

Hence, when p=4, our roots are x=2 and x=6.

The square pyramid that is similar to the pyramid with base side length of 20.4 cm and a height of 18.2 cm has base side length = 30.6 cm and height = 27.3 cm.

All the corresponding angles in the similar shapes are equal and the corresponding lengths are in the same ratio.

Therefore, the corresponding length shuld have the same ratio for it to be similar.

Hence,

The ratio of the square pyramid is as follows;

base length / height = 20.4 / 18.2 = 10.2 / 9.1

Therefore, the square pyramid that is similar has base side length = 30.6 cm and height = 27.3 cm.

30.6 / 27.3 = 10.2 / 9.1

The ratio are the same

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Answer:

CCCCCCC is your answer. Juss took the tessttt

Step-by-step explanation:

since we have found an element (48) in S that is not in T, we can conclude that S is not equal to T.

To prove that S is not equal to T, we need to show that there I an element in either S or T that is not in the other set.

Let's first look at the elements in S. We know that S is the set of all integers that can be expressed as 24 times some other integer. So, for example, 24, 48, 72, -24, -48, -72, etc. are all in S.

Now, let's look at the elements in T. We know that T is the set of all integers that can be expressed as 4 times some integer and 6 times some integer. We can find some examples of numbers in T by finding the multiples of the LCM of 4 and 6, which is 12. So, for example, 12, 24, 36, -12, -24, -36, etc. are all in T.

Now, let's consider the number 48. We know that 48 is in S, since it can be expressed as 24 times 2. However, 48 is not in T, since it cannot be expressed as 4 times some integer and 6 times some integer. This is because the only common multiple of 4 and 6 is 12, and 48 is not a multiple of 12.

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Answer:

30

Explanation:

To know the output value of the function, we need to replace x by -5 and calculated f(x). So:

Therefore, if the input x is -5, the output f(x) is 30

So, the answer is 30.

The equation to model the situation is y = 11x.

An increase in x-values causes an increase in y-values.

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

y - y₁ = m(x - x₁)

Where:

First of all, we would determine the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (22 - 11)/(2 - 1)

Slope (m) = 11/1

Slope (m) = 11

At data point (1, 11) and a slope of 11, a linear equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 11 = 11(x - 1)

y = 11x - 11 + 11

y = 11x

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Answer:

B edge 2021

Step-by-step explanation:

Answer:

b.$1,009.81

Step-by-step explanation:

the person above me is correct, i just did it

The ratio of John's money to Peter's money is 5/4. This means if John has a total amount of 5 then Peter will have a total of 4 as his amount.

Let's assume John has 'x' amount of  money, Peter has 'y' amount of money, The money John saved is 'p' and the money Peter saved is 'q'

So,

p = x - 80x/100                (equation 1)

q = y - 75y/100                (equation 2)

According to the given question, the amount John saved is equal to the amount Peter saved. Hence, we can equate equations 1 and 2.

p = q

x- 80x/100 = y - 75y/100

x - 0.8x = y - 0.75y

0.2x = 0.25y

x =  0.25y/0.2

x/y = 0.25/0.2

x/y = 25/20

x/y = 5/4

Hence, the ratio of John's money to Peter's money is 5/4.

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Answer: (read the explanation)

Step-by-step explanation:

To graph the solution set to the given system of inequalities, we can begin by graphing the two inequalities separately. For the first inequality, y > x^2 – 2, we can graph the function y = x^2 – 2 on the coordinate plane and shade the region above the graph. This will represent the values of x and y that satisfy the inequality.

For the second inequality, y ≥ –x^2 + 5, we can graph the function y = –x^2 + 5 on the coordinate plane and shade the region below the graph. This will represent the values of x and y that satisfy the inequality.

Next, we can combine the two graphs by intersecting the shaded regions. The resulting graph will show the solution set to the system of inequalities. The solution set can be identified as the points on the coordinate plane that are contained within the shaded region on the combined graph.

Overall, to modify the graphs of f(x) and g(x) to graph the solution set to the given system of inequalities, we can graph the functions y = x^2 – 2 and y = –x^2 + 5 on the coordinate plane and shade the regions that satisfy the inequalities. The solution set can then be identified as the points within the shaded region on the resulting combined graph.

Recall that the opposite of 2 is

Therefore, the opposite of the opposite of 2 is

Now, recall that a horizontal number line is of the form:

Therefore, 2 is to the right of zero.

Answer:

On a horizontal number line, the opposite of the opposite of 2 is to the right of zero and is written as 2.

The connection string for SQL Server using Windows Authentication is as follows:

Server=myServerAddress;Database=myDataBase;Trusted_Connection=True;

Specify the server address in the format "Server=myServerAddress". Replace "myServerAddress" with the name or IP address of the SQL Server instance you want to connect to.

Specify the name of the database you want to connect to in the format "Database=myDataBase". Replace "myDataBase" with the name of the database.

Use Windows Authentication by setting "Trusted_Connection=True". This means that the user running the application is authenticated using their Windows credentials, rather than a SQL Server login.

Use semicolons (;) to separate the different parts of the connection string.

Using Windows Authentication is a more secure and convenient way to connect to a SQL Server database, as it eliminates the need to store and manage login credentials in the application.

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The change in Nina'a account balance is -$160.

Nina made 8 withdrawals and each time she took $20.

The change in her account balance will therefore be whatever the account balance is less the amount that she withdrew.

The total amount of money she withdrew is:

= Number of withdrawals x Amount withdrawn each time

= 20 x 8

= $160

Her account is therefore lower by $160.

In conclusion, the change in her account balance is -$160.

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its the red one

i learnt it in school

30000$ swhat i thiiiiiiiiiiiiiiiiiiiin

===========================================

Explanation:

The formula we'll use is

A = P(1+r/n)^(n*t)

which is the compound interest formula

The variables are

So we get

A = P(1+r/n)^(n*t)

A = 525(1+0.035/1)^(1*4)

A = 602.449575328124

A = 602.45

Which is her balance after four years assuming no additional deposits or withdrawals.

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

Extra info:

Subtract off the initial balance to get 602.45 - 525 = 77.45

She made 77.45 dollars in interest over those four years.

Answer:

Equivalent fractions to 11/8

11/8, 22/16, 33/24, 44/32, 55/40, 66/48, 77/56, 88/64, 99/72, 110/80