You start at (1, 3). You move up 2 units and left 6 units. Where do you end?

Answer:

-3.14530027393739338363829263839

-Step-by-step explanation:

A school is studying Math for Data and Financial Literacy standardized test scores. A bar chart could be used to represent the data because test scores are numerical

This is further explained below.

Generally, A bar chart or bar graph is a kind of chart or graph that displays categorical data using bars of varying lengths and heights that are proportionate to the values that they represent. It is possible to lay out the bars either vertically or horizontally.

Column charts are occasionally used interchangeably with vertical bar charts.

In conclusion,Standardized exam results in Math for Data and Financial Literacy are now being analyzed at a school.

Due to the numerical nature of the test results, a bar chart could be an appropriate representation of the data.

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the radius of convergence is 1 and the interval of convergence is (1, 3) in terms of x-values.

To determine the radius of convergence, we can use the ratio test. The ratio test states that if the limit of the absolute value of the ratio of consecutive terms is less than 1 as n approaches infinity, then the series converges. Applying the ratio test to the given series, we have:

lim(n->∞) |((x - 2)^(n+1)/(n+1)) / ((x - 2)^n/n)| < 1

Simplifying the expression, we get:

lim(n->∞) |(x - 2)n+1 / (n+1)(x - 2)^n| < 1

Taking the absolute value and rearranging, we have:

lim(n->∞) |x - 2| < 1

This implies that the series converges when |x - 2| < 1, which gives us the interval of convergence. The radius of convergence is the distance between the center of the series (x = 2) and the nearest point where the series diverges, which in this case is 1.

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Answer:

Ivan got £90 more than Tanya.

Step-by-step explanation:

Ivan and Tanya share the amount £150 in the ratio of 4 : 1

Amount received by Ivan = \(150\times \frac{4}{(4+1)}\)

                                          = \(150\times \frac{4}{5}\)

                                          = £120

Similarly, amount received by Tanya = \(150\times \frac{1}{(4+1)}\)

                                                             = £30

Difference in their amounts = 120 - 30

                                              = £90

Therefore, Ivan got £90 more than Tanya.                                                                                                        

Answer:

2

Step-by-step explanation:

The bars means absolute value so you would find the distance from zero, which is two. Also, anything with negatives in those bars changes to positive because you are calculating the distance from zero. The positive numbers should always stay the same.

Answer:

2

Step-by-step explanation:

The absolute value is the distance between a number and zero. The distance between  

− 2  and  0  is  2

Deena said that she received a 25 dollar discount but the equation says 9x + 25 = 28.

The Rewrite would be: 9x - 25 = 28.

How to make the situation fit the equation?:  "I bought some shirts at the store for $9 each and received a $25 add on. My total bill was $88. How many shirts did I buy?"

Answer:

heres the graph

Step-by-step explanation:

Answer:

Expression represents this situation is 50+5 pesos.

Step-by-step explanation:

A ticket costs 50 pesos for a member of a club.

Non club member ticket cost is 5 pesos more than the member.

So, expression represents this is 50+5 pesos

Answer: (x+y)³=x³+3x²y+3xy²+y³

Step-by-step explanation:

\(\displaystyle\\(x+y)^3=\\\\C^0_3x^3y^0+C_3^1x^2y^1+C_3^2x^1y^2+C_3^3x^0y^3=\\\\\frac{3!}{(3-0)!0!} x^31+\frac{3!}{(3-1)!1!} x^2y+\frac{3!}{(3-2)!2!} xy^2+\frac{3!}{(3-3)!3!} 1y^3=\\\\\frac{3!}{3!1} x^3+\frac{2!3}{2!} x^2y+\frac{2!3}{1!2!} xy^2+\frac{3!}{0!3!}y^3=\\\\x^3+3x^2y+3xy^2+y^3\)

The total volume of the two circular cylinders intersecting perpendicularly is\(V=πr2+πr3=πr2(1+r)\).

The volume of the two circular cylinders intersecting perpendicularly can be calculated using the triple integral formula in rectangular coordinates. The triple integral formula is V=∫∫∫dzdydx.

We can separate the integral into three components. The x-component is ∫dx from \(-√r2-y2 to √r2-y2\). The y-component is ∫dy from -r to r. The z-component is ∫dz from 0 to r.

Substituting the components into the equation for the triple integral, we get \(V=∫-rrdr∫-√r2-y2√r2-y2dx∫0rdz\).

We can solve the integral by splitting the y-component into two pieces:

\(V=∫-rrdr∫-r0dx∫0rdz+∫-rrdr∫0√r2-y2dx∫0rdz\)

The first integral can be solved easily and yields V=πr2. The second integral can be solved using the substitution u=r2-y2 and yields V=πr3.

Hence, the total volume of the two circular cylinders intersecting perpendicularly is V=πr2+πr3=πr2(1+r).

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858 combinations are there to choose 10 players to take the field.

Pick 10 people from 13,

\(C^{13} _{10}\) = \((^{13} _{2} )\)

Splitting the combination,

\(C^{13} _{10}\) = (13 × 12 × 11) ÷ 2

\(C^{13} _{10}\) = 1716 ÷ 2

\(C^{13} _{10}\) = 858 ways to pick the 10 to play.

There are 858 different methods to select 10 players to take the pitch.

The permutations of a set are the vaguely defined community of its members in arrangement or linear order, or the permutation of its components if the set is already collected. The act or procedure of adjusting the linear ordering of a sorted set is often named "permutation".

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If we denote the probability of hitting a bullseye on a dartboard with radius 12 inches as a function of the size of the bullseye, we can refer to this function as PS.

The function PS represents the probability of hitting the bullseye and is dependent on the size of the bullseye. The larger the bullseye, the higher the probability of hitting it, and vice versa. By adjusting the size of the bullseye, we can determine the corresponding probability of hitting it using the function PS.

It's important to note that without specific information about the relationship between the bullseye size and the probability, it's not possible to provide a specific mathematical expression or further details about the PS function. The function would need to be defined or provided to calculate the probability accurately.

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Answer:

19,000 mL

Step-by-step explanation:

Answer:

.42 n = p

Step-by-step explanation:

We can use ratios to write this

2.52/6 = p/n

.42 = p/n

Multiply each side by n

.42 n = p

Answer:

A is correct

Step-by-step explanation:

2.52 for 6 oranges

2.52/6=0.42, so 0.42 for one orange.

p=0.42n

Answer:

f(x)=3x-4

Step-by-step explanation:

just replace the y with f(x)

Answer:

hope this helps you

a lot

have a great day..

The solution set to the inequality is x must be less than or equal to 2.25, which is the amount of weight that can be added to Li's suitcase without going over the 50-pound limit.

The given inequality is 47.75 + x ≤ 50. To solve this inequality, we need to isolate the x term by subtracting 47.75 from both sides. This will give us x ≤ 2.25. This means that the maximum amount of weight that can be added to Li's suitcase without going over the 50-pound limit is 2.25 pounds. This can be interpreted as x being less than or equal to 2.25. To further interpret this solution, we can say that any value of x that is less than or equal to 2.25 will satisfy the inequality. This means that any amount of weight that is less than or equal to 2.25 pounds can be added to Li's suitcase without going over the 50-pound limit. The solution set to the inequality is therefore x ≤ 2.25.

47.75 + x ≤ 50

x ≤ 2.25

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Answer:

x = -3

Step-by-step explanation:

The equation is : -1.3x=3.9

We can divide both sides by -1.3

-1.3x/-1.3=-3.9/-1.3

We get

x=-3

Answer:

x =-3

Step-by-step explanation:

divide -1.3 to both sides

Answer:

1,5,3 your welcome

Step-by-step explanation:

The median of the given list of numbers is 87.

To find the median of a list of numbers, we arrange them in ascending order and identify the middle value.

If there is an odd number of values, the median is the middle number. If there is an even number of values, the median is the average of the two middle numbers.

First, let's arrange the numbers in ascending order:

65.9, 68, 70, 74, 75, 78, 84, 86, 87, 90, 93, 93, 95, 96, 97, 380, 486, 680

There are 17 numbers in the list, which is an odd number. The middle number is the 9th number in the list, which is 87.

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Volume of the solid obtained by

rotating the region bounded by \(y=\sqrt{}x,y=3\) and the y-axis about the y-axis.

\(=f^3_0\pi x^2dy\)

\(=\pi f^3_0x^2dy\)

\(=\pi f^3_0\)  \(y^4dy\) since \(y=\sqrt{}x\)

\(=\pi [\frac{y^5}{5}]\frac{3}{0}\)

\(=\pi (\frac{3^5}{5})\)

\(=\frac{243\pi }{5}\)

\(=48.6\)\(\pi\)

So the required volume will be \(\frac{243\pi }{5}\) cubic unit \(=4.86\)\(\pi\) cubic unit

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Answer:

0.865

Step-by-step explanation:

To solve for the probability we would be using the formula:

F(x) = 1 - e^−λx

Therefore, P(x > 2000) = F(x) = 1 - e^−λx

Mean = 1000 hours

λ = 1/mean = 1/1000 hours

x= 2000 hours

F(x) = 1 - e^−(1/1000)2000

F(x) = 1 - e^−2

= 0.8646647168

Therefore, the probability the the circuit will last at least 2000 hours = 0.865

Answer:

11.325 %

Step-by-step explanation:

44.50 . . ... .. 100%

0.445. . . . . . . . .1 %

49.54 . . . . . . . .?%

49.54 : 0.445=111.325 %

111.325-100 = 11.325%

Answer:

Step-by-step explanation:

The approach of selecting the last activity to start that is compatible with all previously selected activities is known as a greedy algorithm.

To prove that this greedy approach yields an optimal solution (maximum number of activities allowed), we can use a proof by contradiction.

Assume there exists an optimal solution that does not follow the greedy approach, meaning there is a different selection of activities that allows for a greater number of activities overall.

Now, if this alternative solution deviates from the greedy approach, it means that at some point, it selected an activity earlier than the one selected by the greedy approach. However, since the greedy approach selects the last compatible activity, it ensures that the maximum number of activities can be accommodated.

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It takes 45 minutes for the temperature of the chemical to drop to -1.8°C after being heated for half an hour. considering the increase in temperature due to heating .

The chemical starts at an initial temperature of 2.4°C and then rises by 0.6°C every 5 minutes when heated. After being heated for half an hour (30 minutes), the temperature would have increased by (0.6°C/5 minutes) * 30 minutes = 3.6°C.

To cool down from this increased temperature to -1.8°C, the temperature needs to decrease by 3.6°C + 1.8°C = 5.4°C.

The chemical's temperature decreases by 1.2°C every 8 minutes when left to cool. To calculate the time it takes for the temperature to drop by 5.4°C, we divide 5.4°C by the rate of decrease per 8 minutes: 5.4°C / 1.2°C/8 minutes = 45 minutes.

Therefore, it takes 45 minutes for the temperature of the chemical to drop to -1.8°C after it was heated for half an hour.

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The solution of the equation:

2/3x + 2 = 4/3x - 6

is x = 1/12

Here we have the two rational functions:

2/3x  + 2

4/3x - 6

And we  want to find the value of x such that these two are equal, so we just need to solve the equation:

2/3x + 2 = 4/3x - 6

Multiply both sides by 3x to get:

2 + 2*(3x) = 4 - 6*(3x)

2 + 6x = 4 - 18x

6x + 18x = 4 - 2

24x = 2

x = 2/24

x = 1/12

That is the value.

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Answer:

A answer 1

Step-by-step explanation:

that's my best guess and I'm 99.9% sure it's right. sorry if I'm wrong I wish you luck):

Answer:

Step-by-step explanation:

Correct choice is A