THIS IS MY 4TH TIME POSTING THIS (I did it on my other account )Abby has just started training for a marathon. She ran 15 miles in total during her first week of training. She wants to add an additional 2 miles to her weekly total during each subsequent week. Write an explicit rule for the arithmetic sequence that represents this situation, and use it to find how many miles Abby will run during her twelfth week of training.
Please show work for full credit

The final amount you will have in the account after 5 years of continuous compounding at an annual interest rate of 10% is approximately $824.36.

Using the formula for continuously compounded interest, we can calculate the final amount you will have in the account after 5 years:

\(A = P x e^(rt)\)

where:

P = $500 (the initial investment)

r = 0.10 (the annual interest rate as a decimal)

t = 5 (the time period in years)

Substituting the values into the formula, we get:

\(A = $500 x e^(0.10 x 5)\)

\(A = $500 x e^(0.50)\)

A = $500 x 1.6487 (rounded to 4 decimal places)

A = $824.36 (rounded to the nearest cent)

Therefore, the final amount you will have in the account after 5 years of continuous compounding at an annual interest rate of 10% is approximately $824.36.

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If you invest $500 at an annual interest rate of 10% compounded continuously, calculate the final amount you will have in the account after five years?

Answer:

\(\huge\boxed{5}\)

Step-by-step explanation:

This equation is in slope intercept form (\(y=mx+b\)). This is called slope intercept form for a reason - \(m\) is always the slope and \(b\) is always the y-intercept.

We can see that the coefficient on the x-term is \(-\frac{4}{3}\) and the constant being added to it is 5.

This means 5 is the y-intercept.

Hope this helped!

Answer:13.8 is the best answer i could get

Step-by-step explanation:1,077 multiply that × 13.8 =14,862

Answer:

\(6(x + 2) > x - 3\)

\(6x + 12 > x - 3\)

\(6x - x > - 12 - 3\)

\(5x > - 9\)

\(3 + 4 \times 2(1 + 2x)\)

\(3 + 8(1 + 2x)\)

\(3 + 8 + 16x\)

\(11 + 16x\)

\( - 2(x + 6)x - 9 < 3(x - 3)\)

\( - 2( {x}^{2} + 6x) - 9 < 3x - 9\)

\( - 2 {x}^{2} - 12x - 9 < 3x - 9\)

Answer:

108,0000 liters

Step-by-step explanation:

It should be 108,0000 liters because if there are 60 seconds per minute and the pump was on for 39 mins, 60 x 30 = 1800  

Then 1800 seconds times 600 liters per second equals 108,0000 liters

To calculate the product of a vector and a scalar, we multiply each component of the vector by the scalar. We can also add multiple vectors, where we simply add the components of all the vectors along each direction. By using these methods, we can solve the given problem.

\(a) a⃗ +b⃗ = (2 + 3, -1 + 0, 1 + 5) = (5, -1, 6)\\b) a⃗ -c⃗ = (2 - 1, -1 - 4, 1 - (-2)) = (1, -5, 3)\\c) b⃗ -c⃗ = (3 - 1, 0 - 4, 5 - (-2)) = (2, 4, 7)\\d) 2a⃗ +3c⃗ = (2*2 + 3*1, -1*2 + 3*4, 1*2 + 3*(-2)) = (6, 6, -3)\)

In 3-dimensional vector calculations, it is important to consider the components of the vectors along i^, j^, and k^. To calculate the sum of two vectors\(a⃗ , b⃗\), we simply add the components of the vectors along all directions. Similarly, we can subtract two vectors by subtracting the components of the vectors along all directions. To calculate the product of a vector and a scalar, we multiply each component of the vector by the scalar. We can also add multiple vectors, where we simply add the components of all the vectors along each direction. By using these methods, we can solve the given problem.

The complete question is :

Given the three 3-dimensional vector \(a⃗ =(2,−1,1), b⃗ =(3,0,5), and c⃗ =(1,4,−2)\), where (x,y,z) are the components of the vectors along \(i^, j^, k^\)respectively, calculate the following:

\(a) a⃗ +b⃗\\b) a⃗ -c⃗\\c) b⃗ -c⃗\\d) 2a⃗ +3c⃗\)

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Answer:

100g flour

95ml cream

30ml milk

2eggs

Step-by-step explanation:

You just half them all

Answer:

\( x \approx 36.57\)

Step-by-step explanation:

Let the length of the perpendicular be y units.

So,. By Pythagoras Theorem:

\( {y}^{2} = {32}^{2} - {28}^{2} \\ = (32 + 28)(32 - 28) \\ = 60(4) \\ {y}^{2} = 240 \\ \\ by \: geometric \: mean \: property \\ {y}^{2} = 28(x - 28) \\ 240 = 28x - 784 \\ 240 + 784 = 28x \\ 1024 = 28x \\ x = \frac{1024}{28} \\ x = 36.5714286 \\ x \approx 36.57\)

The first number is approximately 9.12 x 10^19 times bigger than the second number.

Division is a mathematical operation that involves dividing one number, the dividend, by another number, the divisor, to obtain a result, known as the quotient. The operation of division is represented by the symbol "/", or the division sign.

To compare the two numbers and determine how many times bigger the first number is than the second number, we can divide the first number by the second number:

4.5987E15 / 5.0392E-5 = 9.1166E+19

So the first number is about 9.1166 x 10^19 times bigger than the second number.

Alternatively, we can express this result in scientific notation as:

9.1166 x 10^19 ≈ 9.12E19

Therefore, the first number is approximately 9.12 x 10^19 times bigger than the second number which is nearest to 10^20.

For example, if we divide 12 by 3, we can think of this as dividing 12 into three equal parts. Each part will be 4. So, the quotient is 4, and there is no remainder. We can represent this operation as 12/3 = 4.

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Answer:

14 is C and 13 is also C

Step-by-step explanation:

so 14 and 13 a both C

mark brainliest or give 1 heart and 5 stars or maybe both

When more than one adjustment is required on a worksheet, the adjustment can be added to a blank line and the adjustment can be combined into one adjustment amount. Option b and d is correct.

The adjustment can be added to a blank line if there is an available blank line on the worksheet, each adjustment can be separately added to its own line, ensuring clarity and organization.

The adjustment can be combined into one adjustment amount instead of listing each adjustment separately, it is also possible to combine them into a single adjustment amount. This is appropriate when the individual adjustments are related or impact the same account.

So the correct options are B and D.

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This hypothesis test is testing the proportion of commuting students who walk to school.

Hence, you perform a one-sample proportion test.

The alternative hypothesis has a "less than" symbol in it and both of the hypotheses compare the parameter to the value 0.5.

The value of your test statistic is -1.885, which results in a p-value of 0.030.

You could also find the critical value, which is -1.645.

Using the p-value or the critical value, you determine that you reject the null hypothesis.

This means that there is significant evidence to say that the proportion of commuting students that walk is less than half at the 10% level of significance.

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Answer:

27/4 or 6 3/4

Step-by-step explanation:

Change all mixed numbers into improper fractions

2 1/9 = 19/9

6 1/4 = 25/4

19/9 ÷ 2/3 - 25/4 x 2/5

dividing fractions you can multiply and use reciprocal of the fraction (means you switch the top and bottom numbers)

19/9 x 3/2 - 25/4 x 2/5

you can reduce the top and bottom numbers to make them smaller by dividing. find a common number to divide them by, you can cross out the numbers and just put the new equation below

19/3 x 1/2 - 5/4 x 2/1

multiply across the fractions first PEMDAS, then subtract

19/6 - 10/4 (multiply by 2 and 3 respectively to get both bottom numbers the same, multiply by the same number on top)

57/12 - 30/12 = 27/12

1/5 x 1/3 + 2/5 x 2/3

1/15 + 4/15 = 5/15 or 1/3

27/12 / 1/3

you can multiply the fractions and flip the top and bottom numbers of 1/3

27/12 x 3/1

reduce 12 and 3

27/4 x 1/1 = 27/4 or 6 3/4

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

From the given data of Nicole's wedding organization, 18 tables at the venue is sufficient for the total 145 arriving guest.

To determine whether there are enough tables for the guests, we need to calculate the total circumference required for all the guests and compare it to the total circumference of the available tables. The circumference of a circle is given by the formula C = πd, where C is the circumference, d is the diameter, and π is the constant pi, approximately equal to 3.14.

For the circular table with a diameter of 180cm, the circumference is:

C = πd

= π x 180cm                              

= 565.2cm

Each guest needs 7cm around the circumference of the table, so the total circumference required for one guest is 7cm.

For 145 guests, the total circumference required is:

Total circumference required

= 145 guests x 7cm per guest

= 1015cm

Now, we can calculate the total circumference of all the tables available:

Total circumference of all tables

= 18 tables x 565.2cm per table

= 10,174.4cm

Since the total circumference required for the guests (1015cm) is less than the total circumference of all the available tables (10,174.4cm), we can conclude that there are enough tables for the guests. Therefore, there are enough tables at the venue for the 145 guests.

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1. The probability of selecting exactly one tank with high-viscosity material is 0.

2. The probability of selecting at least one tank with high-viscosity material is 1.

3. The probability of selecting exactly one tank with high-viscosity material and exactly one tank with high impurities is 0.25.

1. The probability of selecting exactly one tank with high-viscosity material is calculated by the binomial distribution formula, P(X = n) = (nCx)p^x(1-p)^n-x, where n is the number of trials, x is the number of successes, and p is the probability of success. In this case, n = 4, x = 1, and p = 24/24 = 1. Therefore, P(X = 1) = (4C1)1^1(1-1)^4-1 = 0.

2. The probability of selecting at least one tank with high-viscosity material is calculated by the complement rule, P(X > 0) = 1 - P(X = 0). In this case, P(X > 0) = 1 - (4C0)1^0(1-1)^4-0 = 1.

3. The probability of selecting exactly one tank with high-viscosity material and exactly one tank with high impurities is calculated by the binomial distribution formula, P(X = n) = (nCx)p^x(1-p)^n-x, where n is the number of trials, x is the number of successes, and p is the probability of success. In this case, n = 8, x = 2, and p = 24/24 = 1. Therefore, P(X = 2) = (8C2)1^2(1-1)^8-2 = 0.25.

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Answer:

c

Step-by-step explanation:

The red line represents the critical value, and the shaded region on the right-hand side of the red line represents the rejection region. If the calculated test statistic is greater than the critical value of z, which is 1.88 in this case, we will reject the null hypothesis.

The critical value(s) and rejection region(s) for the type of z-test with a level of significance a = 0.03 and a right-tailed test are as follows :Step 1: Determine the critical value of  zThe critical value is calculated by using the normal distribution table and the level of significance. A right-tailed test will have a critical value of zα. For a level of significance of 0.03, we will look for the z-value that corresponds to 0.03 in the normal distribution table.Critical value for a = 0.03 is z = 1.88 (approx).Step 2: Determine the Rejection Region The rejection region for a right-tailed test is defined as any z-value that is greater than the critical value. That is, if the test statistic is greater than 1.88, we reject the null hypothesis at the 0.03 level of significance, and if it is less than or equal to 1.88, we fail to reject the null hypothesis.Therefore, the rejection region for a right-tailed test with a level of significance of 0.03 is as follows:Rejection Region: Z > 1.88  OR  Z ≤ -1.88Graph: The graph for the given values will be as follows:The red line represents the critical value, and the shaded region on the right-hand side of the red line represents the rejection region. If the calculated test statistic is greater than the critical value of z, which is 1.88 in this case, we will reject the null hypothesis.

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The correlation between x and z would be a strong positive relationship when the correlation between x and y is 0.9 and the correlation between y and z is 0.9.

A correlation can be defined as statistical terminology which is used as a measure to indicate the relationship that exists between two or more variables.

This ultimately implies that, correlation can be used to statistically measure and predict the level of fluctuation between two or more variables in relation to one another.

A positive correlation can be defined as a terminology that is used to described a scenario (situation) in which two variables move in the same direction because they are in tandem.

In this context, we can infer and logically deduce that the correlation between x and z would be a strong positive relationship when the correlation between x and y is 0.9 and the correlation between y and z is 0.9.

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Hi there!

5=5+r-2r

Combine like terms:

5=5-r

Move all the variables to the left, using the opposite operation:

r+5=5

r=5-5

r=0

r=0 is the answer

Hope it helps

~Just a gloomy gal

#CarryOnLearning

\(SilentNature :)\)

Answer:

r = 0

Step-by-step explanation:

5 = 5 +r - 2r

5 = 5 -r

c.l.t   r = 5 - 5

r = 0

Answer:

(x + 7)(x - 4) = x2 - 4x + 7x - 28 = x2 + 3x - 28

According to the question Approximately 60% of Americans are in the working class and 80% of the people in the U.S. are lower middle class. The correct answer is D. \(\(60\%\)\) and \(\(10\%\)\).

The working class typically comprises individuals involved in manual labor, skilled trades, or service-oriented jobs. They often earn wages and may have lower income levels compared to other classes.

The percentage of Americans in the working class can vary based on factors such as economic conditions, industry trends, and societal changes. The lower middle class generally includes individuals who have achieved some level of education beyond high school and hold white-collar or technical jobs.

They often have moderate incomes and may have attained some level of financial stability. The percentage of people in the U.S. who fall into the lower middle class can also fluctuate based on economic factors and social dynamics.

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Answer:

Brianna did not use  the first sale price for the second markdown.

The first price discount makes the cost $9.38.

The second price reduction takes another $2.35 off.  

The selling price of the shirt after two markdowns is $7.03.

Step-by-step explanation:

Answer:

1.2 in approx

Step-by-step explanation:

Given data

Volume of the cone= 28.26 in^3

Height= 19 in

Radius= ????

We know that the volume of the cone is expressed as

V= 1/3πr^2h

substitute

28.26= 1/3*3.142*r^2*19

28.26= 19.89*r^2

divide both sides by 19.89

r^2= 28.26/19.89

r^2= 1.42

r=√ 1.42

r= 1.19

Hence the radius is 1.2 in approx

We have that, if we have nine-digit numbers, the number of codes that are greater than 700 is 999,999,299

If we are viewing the codes as nine-digit numbers, then there are a total of 999,999,999 possible codes. However, we are only interested in those that are greater than 700.

To find the number of codes greater than 700, we can subtract the number of codes less than or equal to 700 from the total number of codes.

There are 700 codes that are less than or equal to 700 (from 001 to 700), so the number of codes greater than 700 is:

999,999,999 - 700 = 999,999,299

Therefore, there are 999,999,299 codes that are greater than 700 when viewed as nine-digit numbers.

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Answer:

#1. 7 hours.

#2. 6 hours.

Step-by-step explanation:

#1. Oceanside Bike Rental Shop charges 13 dollars plus 6 dollars an hour for renting a bike. Jason paid 55 dollars to rent a bike. How many hours did he pay to have the bike checked out?

55-13 = 42

42/6 = 7

#2. Oceanside bike rental shop charges 18 dollars plus 6 dollars an hour for renting a bike. Jason paid 54 dollars to rent a bike. How many hours did he pay to have the bike checked out?

54-18 = 36

36/6= 6

Answer:

13

Step-by-step explanation:

Number of students that attended more than play = percentage of students that attended more than play x total number of students

5.5% x 232

0.055 x 232 = 12.76 students

to round off to the nearest whole number, look at the first number after the decimal, if it is less than 5, add zero to the units term, If it is equal or greater than 5, add 1 to the units term.

Since the first term is 7 which is greater than 5, 1 would be added to it.

This gives 13

The analyst should use the alpha aesthetic. The alpha aesthetic makes some points on a plot more transparent than others to call out specific data points.

A set of points plotted on a horizontal and vertical axis is known as a scatter plot. Because they can demonstrate the degree of correlation, if any, between the values of observed quantities or phenomena, scatter plots are crucial in statistics (called variables). In an effort to demonstrate the degree to which one variable is influenced by another, scatter plots are used to plot data points on a horizontal and vertical axis. The values of the columns set on the X and Y axes determine the position of the marker that represents each row in the data table.

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The pooled standard deviation is approximately 11.98.

What is standard deviation?

Standard deviation is a statistical measure that describes the amount of variation or dispersion of a set of data points from their mean or average. It indicates how spread out the data is from the average value.

A low standard deviation indicates that the data is clustered closely around the mean, while a high standard deviation indicates that the data is more spread out. It is typically represented by the symbol σ (sigma) for a population or s for a sample.

The formula for the pooled standard deviation is:

\(sp = \sqrt{[((n1 - 1) * s1^2 + (n2 - 1) * s2^2) / (n1 + n2 - 2)]\)

where s1 and s2 are the sample standard deviations, and n1 and n2 are the sample sizes.

Substituting the given values, we get:

\(sp = \sqrt{[((15 - 1) * 10^2 + (25 - 1) * 13^2) / (15 + 25 - 2)]\)

\(= \sqrt{[(14 * 100 + 24 * 169) / 38]\)

\(= \sqrt{[5456 / 38]\)

\(= \sqrt{(143.57)\)

≈ 11.98

Therefore, the pooled standard deviation is approximately 11.98.

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Answer:78 people can attend the party.

Step-by-step explanation:

Given: The formula \(c=5p+10\) relates c, the total cost in dollars of hosting a birthday party at a movie theater to p, the number of people attending.

Put c= $400

Then, \(400=5p+10\)

\(\Rightarrow\ 400-10=5p\\\\\Rightarrow\ 390=5p\\\\\Rightarrow\ p=\dfrac{390}{5}\\\\\Rightarrow\ p= 78\)

i.e. 78 people can attend the party.

Answer:

A. 18x - 3y = 6

Step-by-step explanation:

By taking 3 common from the terms 18x and 3y we get,

3 (6x-3y) = 6

or, 6x - y = 6/3

or, 6x - y = 2

And,

The equation becomes,

y = 6x - 2

The equation has exactly one solution in common with the equation y=6x-2 will be 18x - 3y = 6. The correct option is A.

A finite set of equations for which common solutions are sought is referred to in mathematics as a set of simultaneous equations, often known as a system of equations or an equation system.

An equation is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

By taking 3 commons from the terms 18x and 3y we get,

3 (6x-3y) = 6

6x - y = 6/3

6x - y = 2

The equation becomes,

y = 6x - 2

Therefore, the equation has exactly one solution in common with the equation y=6x-2 will be 18x - 3y = 6. The correct option is A.

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