if y=at b satisfies y'' 3y' 2y=2t 9, what are a and b?

To convert feet to meters, you will need to multiply the number of feet by 0.3048. This is because one foot is equal to 0.3048 meters.

For example, if you wanted to convert 5 feet to meters, you would multiply 5 by 0.3048. This would give you 1.524 meters. To make a more complex calculation, you can use a calculator or an online conversion tool. These tools allow you to input a value in feet and output the corresponding value in meters.

When dealing with large numbers of conversions, it is sometimes easier to use a conversion table. These tables show the values for feet and meters side-by-side, so you can easily reference the information. Additionally, you can use the table to convert any number of feet into meters.

Here you can learn more about Feet to meters

https://brainly.com/question/28515141#

#SPJ11

Answer:

108 in.

Step-by-step explanation:

SA = 2(lw + wh + lh)

SA = 2((6)(4) + (4)(3) + (6)(3)

SA = 2(24) + (12) + (18)

SA = 2(54)

SA = 108 in.

Answer:

108

Step-by-step explanation:

The amount of $27,446.13 represents the total interest paid on a trailer loan of $24,000 over a period of eight years with an interest rate of 10%.

To calculate the total interest paid, we can use the formula:

Interest = Principal * Rate * Time.

Given that the principal amount (loan) is $24,000, the interest rate is 10%, and the time period is eight years, we can substitute these values into the formula.

Interest = $24,000 * 0.10 * 8

= $19,200

However, the total interest paid is given as $27,446.13, which is higher than the calculated interest. This additional amount could be due to compounding interest or additional fees associated with the loan.

In conclusion, they arrived at the amount of $27,446.13 by calculating the interest based on the given principal, interest rate, and time period.

Learn more about compounding interest: https://brainly.com/question/14295570

#SPJ11

Answer:

10pix+65pi

Step-by-step explanation:

pi(x+9)^2-pi(x+4)^2

=pi(x^2+18x+81)-pi(x^2+8x+16)

=pix^2+18pix+81pi-pi(x^2+8x+16)

=pix^2+18pix+81pi-pix^2-8pix-16pi

=10pix+65pi

The hypothesis of continental drift was initially not accepted by many scientists due to the lack of a comprehensive mechanism, conflicting with established beliefs, and limited supporting evidence.

During the early stages of the continental drift theory, scientists struggled to find a satisfactory mechanism that could explain how continents could move across the Earth's surface.

The concept seemed implausible without a clear understanding of the driving forces behind such movement. Without a solid mechanism, many scientists were hesitant to accept the hypothesis.

Additionally, the theory of continental drift contradicted the prevailing scientific belief of a fixed and unchanging Earth.

The concept challenged the long-held notion of a static planet and required a paradigm shift in scientific thinking, which met with resistance from some scientists who were reluctant to abandon established ideas.

Furthermore, the available evidence supporting continental drift was limited and fragmented.

While Alfred Wegener presented compelling evidence such as the fit of coastlines, fossil distributions, and geological similarities, skeptics argued that these observations could be explained by alternative mechanisms or coincidences rather than actual continental movement.

Over time, advancements in plate tectonics, geophysical studies, and technological innovations provided more substantial evidence and a better understanding of Earth's dynamics, leading to widespread acceptance of the theory.

The accumulation of data and the development of a comprehensive mechanism helped address the initial concerns and skepticism surrounding the hypothesis of continental drift.

Learn more about hypothesis of continental drift

brainly.com/question/769922

#SPJ11

Answer:

4/9

Step-by-step explanation:

He ate 1/3 of what he found. 2/3 or the 2/3 were left in the fridge.

2/3 · 2/3 = 4/9

Fourth ninths of the pizza is in the fridge.

Answer: a = 8

Step-by-step explanation:

a² + b² = c²

a² + 6² = 10²

a² + 36 = 100

a² = 100 - 36

a² = 64

a = √64

a = 8

Answer:

Step-by-step explanation:

Functions have graphs or slopes.

This is not a function.

This is not on a graph or on a slope.

Your answer is not a function.

The sum of the arithmetic series is 20,100.

What is Arithmetic series?

The total of the terms in an arithmetic sequence with a predetermined number of terms is known as an arithmetic series. Here is a straightforward formula for calculating the sum: in Formula 1 If Sn denotes the sum of a term-filled arithmetic sequence, then The first and last term values, as well as the total number of terms, are necessary for this formula.

We can use the below formula to find the sum of arithmetic series,

\(s_n = \frac{n(a_1 + a_n)}{2}\)

In this example \(a_1 = 3, a_n = 597\)

First we have to find the value of n.

To find n, use the formula for an arithmetic sequence \(a_n = a_1 + (n-1)d\)

where d is the common difference between the terms (found by subtracting a previous term from a term).

In this example, d = 12 - 3  = 9.

To find n, plug \(a_n = 597, a_1 = 3, d = 9\) into \(a_n = a_1 + (n-1)d\)

\(597 = 3 + (n - 1)9\\597 = 3 + 9n - 9\\597 = 9n - 6\\603 = 9n\\n = 67\)

Now plug, \(n = 67, a_1 = 3, a_n = 597\) into \(s_n = \frac{n(a_1 + a_n)}{2}\)

\(S_n = \frac{67(3 + 597)}{2}\\ S_n = \frac{40200}{2} \\S_n = 20100\)

Therefore, the sum of the given arithmetic series is, 20100.

To know more about Arithmetic series, click on the link

https://brainly.com/question/6561461

#SPJ13

Answer:

y= -3

Step-by-step explanation:

2+4y= y-7

2+3y= -7

3y= -9

y= -3

Answer:

Step-by-step explanation:

Rearrange Terms.

Subtract 2 from both sides of the equation.

Simplify and subtract the numbers.

Solution.

I hope this helps!!

-GXLDIE <3

We can use the given points to find the slope

It means that every year, there are 1.4 million MORE households with personal computers

Answer:

this is prime

Step-by-step explanation:

The polar form of the complex number -3√3 - 3i is: z = 6(cos(π/3) - i sin(π/3))

To write the complex number -3√3 - 3i in polar form, we first need to find its modulus and argument.

The modulus (or absolute value) of a complex number is the distance from the origin to the point representing the number in the complex plane. It can be found using the formula:

|z| = sqrt(x² + y²)

where z = x + yi is the complex number.

Applying this formula, we get:

|z| = sqrt((-3√3)² + (-3)²) = \(\sqrt{27 + 9}\)= \(\sqrt{36}\) = 6

The argument (or angle) of a complex number is the angle between the positive real axis and the line connecting the origin to the point representing the number in the complex plane. It can be found using the formula:

arg(z) = atan(y/x)

where z = x + yi is the complex number.

Applying this formula, we get:

arg(z) = atan((-3)/(-3√3)) = atan(√3) = π/3 radians (since tan(π/3) = √3)

Therefore, the polar form of the complex number -3√3 - 3i is:

z = 6(cos(π/3) - i sin(π/3))

Learn more about polar form

https://brainly.com/question/11741181

#SPJ11

Answer:

$11.31

Step-by-step explanation:

100-22 = 78

14.50 x .78 = 11.31

Answer: (x³ + 3)(x³ - 3)

Explanation: A variable taken to any even power is a perfect square. Its factors will have exponents equal to one-half the original power.

In this case, x⁶ would therefore be a perfect square.

Since 9 is also a perfect square,

what we have here is the difference of two squares.

That can be factored as the product of two binomials,

one with a plus and one with a minus.

So we have (   +   )(   -   ).

Now ask yourself "what are the factors of x⁶ that are the same?"

Remember the rule is that those factors will use

one-half the exponent on the original.

So the factors of x⁶ that are the same are x³ and x³.

The factors of 9 that are the same are 3 and 3.

So our answer is (x³ + 3)(x³ - 3) and that's all there is to it.

Answer:

The matrix expression E(3B + A) is defined, and the resulting matrix is of size (1x1).

Step-by-step explanation:

To determine whether the matrix expression E(3B + A) is defined, we need to check if the dimensions of the matrices match for matrix multiplication.

The matrix B is of size (2x1), and the matrix A is of size (2x5). To add these matrices, they need to have the same dimensions, so we can multiply 3B by adding three copies of B together. The resulting matrix will be of size (2x1) as well.

Now, we can multiply E (of size 1x2) by the resulting matrix (2x1) using matrix multiplication rules. For matrix multiplication to be defined, the number of columns in the first matrix must be equal to the number of rows in the second matrix.

In this case, E (1x2) multiplied by (2x1) gives a resulting matrix of size (1x1).

Know more about matrix: brainly.com/question/28180105

#SPJ11

1) The first step in construction of the parallel line is;  Construct another point Q different from point P that is not on the line.

2) The next step is; 4. With the compass opened to at least half of CD, draw arcs centered at C and D and label the point of intersection of the arcs E.

Parallel lines are defined as the lines that do not intersect or meet each other at any given point in a plane. This means that the lines are always parallel and equidistant from each other.
The steps to construct a parallel line passing through point P is as follows;

Step 1: Draw Line AB as shown in the figure.

Step 2: Take point P outside the line AB  as shown in the figure.

Step 3: From P to AB draw a perpendicular line PQ passing through AB.

Step 4: Now at point P, make an angle of 90 degrees and extend the line EF both sides of  P.

Step 5: EF is parallel line to AB passing through P

Looking at the options and comparing with the steps above, we can say that;

1) First step is option 2

2) Next step is option 4

Read more about parallel line construction at; https://brainly.com/question/13300895

#SPJ1

The limit 9/4 is greater than 1, the series

\(\(\sum_{n=1}^{\infty} \frac{9^{n}}{(n+1) 4^{2 n+1}}\)\)  diverges by the Ratio Test.

To determine the convergence or divergence of the series,

\(\(\sum_{n=1}^{\infty} \frac{9^{n}}{(n+1) 4^{2 n+1}}\)\), 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, then the series converges. If the limit is greater than 1 or infinite, then the series diverges. If the limit is exactly 1, the test is inconclusive.

Let's denote aₙ as the nth term of the series:

\(\[a_n = \frac{9^n}{(n+1)4^{2n+1}}\]\)

Now, let's calculate the limit of the ratio

\(\(\lim _{n \rightarrow \infty} \frac{a_{n+1}}{a_n}\):\)

\(\[\lim _{n \rightarrow \infty} \frac{a_{n+1}}{a_n} = \lim _{n \rightarrow \infty} \frac{\frac{9^{n+1}}{(n+2)4^{2(n+1)+1}}}{\frac{9^n}{(n+1)4^{2n+1}}}\]\)

Simplifying the expression:

\(\[\lim _{n \rightarrow \infty} \frac{9^{n+1}}{(n+2)4^{2(n+1)+1}} \cdot \frac{(n+1)4^{2n+1}}{9^n}\]\)

\(\[\lim _{n \rightarrow \infty} \frac{9^{n+1}}{(n+2)9^n} \cdot \frac{(n+1)4^{2n+1}}{4^{2(n+1)+1}}\]\)

\(\[\lim _{n \rightarrow \infty} \frac{9^n \cdot 9}{(n+2)9^n} \cdot \frac{(n+1)4^{2n+1}}{4^{2n+2} \cdot 4}\]\)

\(\[\lim _{n \rightarrow \infty} \frac{9}{n+2} \cdot \frac{n+1}{4 \cdot 4} = \frac{9}{4} \lim _{n \rightarrow \infty} \frac{n+1}{n+2}\]\)

As n approaches infinity, the limit becomes:

\(\[\frac{9}{4} \cdot 1 = \frac{9}{4}\]\)

Therefore, the series is divergent.

Learn more on convergence and divergence of a series here;

https://brainly.com/question/31402964

#SPJ4

Complete Question:

Use the Ratio Test to determine whether the series is convergent or divergent.\(\(\sum_{n=1}^{\infty} \frac{9^{n}}{(n+1) 4^{2 n+1}}\)\) and evaluate the following limit \(\(\lim _{n \rightarrow \infty} \frac{a_{n+1}}{a_n}\):\)

Answer:

3rd

Step-by-step explanation:

Answer: graph 3

Step-by-step explanation:

Answer:

They are not traveling at the same speed (Graph attached)

Step-by-step explanation:

(Assuming that the graph and table are the two different cars)

If you look at the graph and the table, you can already see that the value for 8 in the graph is 2, when the value for 8 in the table is 1, meaning that they are not at the same speed.

To graph the table, you need to find the equation first, which is y = 8x because the corresponding value for 1 in the table is 8 and the slope (or the value next to x) is equal to the unit rate, or the value corresponding to 1. Next, you can graph it by finding two points, (0,0) and (1,8), and putting a straight line through them (or use an online graphing calculator).

(Graph is attached)

Answer:

4.5

Step-by-step explanation:

→ Set up the direct proportion equation

z = kx

→ Substitute in the values

12 = 3k

→ Divide both sides by 3 to isolate k

4 = k

→ Substitute the value of k back into the original direct proportion equation

z = 4x

→ Substitute the value of z in

18 = 4x

→ Divide both sides by 4 to isolate x

4.5 = x

Answer:

4.5

Step-by-step explanation:

There is a positive relationship between income and the percentage of adult college graduates. This relationship is not deterministic and can vary across different contexts and populations.

Yes, there is generally a positive relationship between income and the percentage of adult college graduates in a given population. As income levels increase, the percentage of adults who have completed college tends to increase as well. This relationship can be observed across countries, within countries, and across different demographic groups.

One reason for this relationship is that higher levels of education tend to lead to higher paying jobs and greater economic opportunities. As a result, individuals with college degrees may be more likely to earn higher incomes and to have greater financial stability.

However, this relationship is complex and can be influenced by a variety of factors, including the type of degree earned, the field of study, and the overall economic climate.

To know more about college graduates:

https://brainly.com/question/8055137

#SPJ4

The formula for the degrees of freedom is as follows: df = n1 + n2 - 2where n1 and n2 are the sample sizes of the two populations. Therefore, the correct answer is c. n1 + n2 - 2.

In testing for differences between the means of two related populations where the variance of the differences is unknown, the degrees of freedom are n1 + n2 - 2.The degrees of freedom are very important in statistics, as they tell you how much you can trust your results. The degrees of freedom are related to sample size and are used in various statistical tests, including t-tests and chi-square tests. In this particular case, we are interested in testing for differences between the means of two related populations where the variance of the differences is unknown.In this case, we use a t-test to compare the means of the two populations. The formula for the t-test is as follows:t = (x1 - x2) / (s / √n)where x1 is the mean of the first population, x2 is the mean of the second population, s is the standard deviation of the differences between the two populations, and n is the sample size.

In order to calculate the t-value, we need to know the degrees of freedom. The formula for the degrees of freedom is as follows:df = n1 + n2 - 2where n1 and n2 are the sample sizes of the two populations. Therefore, the correct answer is c. n1 + n2 - 2.

To know more about populations visit:-

https://brainly.com/question/31598322

#SPJ11

Answer:

50/50

Step-by-step explanation:

if you create a venn diagram you would have 25-10 or 15 like bicycling only, 35-15 or 20 like jogging only, and 15 like both sports

DOE is a statistical tool for analyzing reliability issues, while productivity is a measure of efficiency. Designs of experiments (DOE) is a statistical technique used in Six Sigma to collect, analyze, and interpret data.

It is a structured and organized method for determining whether there is a statistical correlation between two variables. DOE helps in identifying potential reliability problems and weaknesses in a product or process by systematically varying the factors and observing their impact on the output.

Productivity is a measure that broadly defines the efficiency of a process or system. It is calculated by dividing the output by the input. On the other hand, the quality-productivity ratio refers to the relationship between the quality and productivity of a product or process. It can be represented by the ratio of quality cost divided by production cost or the ratio of yield divided by total planned units.

In summary, DOE is a statistical tool for analyzing reliability issues, while productivity is a measure of efficiency. The quality-productivity ratio assesses the relationship between quality and productivity by considering factors such as quality cost, production cost, and yield.

Learn more about productivity here

brainly.com/question/31859289

#SPJ11