I am a 5-digit number. My ones digit is three times greater than my tens digit. My ten thousands digit is 3 more than my tens digit.
My hundreds digit is twice my ten thousands digit. My thousand digit is one less than my hundreds digit.
Read the clues. Find the number

So to find any last digit of 3^2011 divide 2011 by 4 which comes to have 3 as remainder. Hence the number in units place is same as digit in units place of number 3^3. Hence answer is 7.

Answer:

On average, they get an APR of 2.89%, which obliges them to pay the following amounts monthly on a $15,000 loan: 12 months. $1269.25.

Step-by-step explanation:

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask me in the comments below ;)

Answer:

The answer is C on Edge

Step-by-step explanation:

Answer:

(1) - C, \((3,\frac{\pi}{6})\)

(2) - B, \((0,-2)\)

Step-by-step explanation:

\(\text{Using the following conversions:}\\\boxed{\left\begin{array}{ccc}\text{\underline{Rect. to Polar:}}\\(x,y)\rightarrow(r, \theta)\\\\r=\sqrt{x^2+y^2}\\\\\theta=\tan^{-1}(\frac{y}{x})\end{array}\right} \ \ \boxed{\left\begin{array}{ccc}\text{\underline{Polar to Rect.:}}\\(r, \theta)\rightarrow(x,y)\\\\x=r\cos \theta\\\\y=r \sin\theta\end{array}\right}\)

Note that when doing these calculations, make sure your calculator is in radians mode.

Question #2:

Given:

\((\frac{3\sqrt{3} }{2} ,\frac{3}{2} ) \ \text{in} \ (x,y)\)

\((\frac{3\sqrt{3} }{2} ,\frac{3}{2} )\\\\\Rightarrow r=\sqrt{(\frac{2\sqrt{2} }{2})^2+(\frac{3}{2})^2} \\\\\Longrightarrow r=\sqrt{\frac{27}{4} +\frac{9}{4} } \\\\\Longrightarrow r=\sqrt{9}\\\\\therefore \boxed{ r=3}\\\\\Rightarrow \theta=\tan^{-1}(\frac{\frac{3}{2}}{\frac{3\sqrt{3} }{2}})\\\\\Longrightarrow \theta=\tan^{-1}(\frac{\sqrt{3} }{3})\\\therefore \boxed{\theta=\frac{\pi}{6} }\)

Thus, the correct option is C.

\(\boxed{\boxed{(3,\frac{\pi}{6})}}\)

Question #3:

Given:

\((2,\frac{3\pi}{2} ) \ \text{in} \ (r,\theta)\)

\((2,\frac{3\pi}{2} ) \\\\\Rightarrow x=(2)\cos(\frac{3\pi}{2})\\\\\Longrightarrow x=(2)(0)\\\\\therefore \boxed{x=0}\\\\\Rightarrow y=(2)\sin(\frac{3\pi}{2})\\\\Longrightarrow y=(2)(-1)\\\\\therefore \boxed{y=-2}\)

Thus, the correct option is B.

\(\boxed{\boxed{(0,-2)}}\)

Answer:

x = 13

Step-by-step explanation:

We Know

(5x - 6) + (8x + 17) must equal 180°

Find the value of x.

Let's solve

5x - 6 + 8x + 17 = 180

13x + 11 = 180

13x = 169

x = 13

So, the value of x is 13.

Derivatives are essential for solving calculus and differential equation problems then the derivative of this function is \($f^{\prime}(x)=k$\)

The rate of change of a function with respect to a variable in Mathematics. Derivatives are essential for solving calculus and differential equation problems.

Given a traditional unbent position, f(x) = kx + d, where k is the pitch and (0, d) is the y-intercept.

a) Consider our position at two distinct points first:

f(x) = kx + d

f(x + h) = k(x + h) + d = kx + kh + d

Evaluate the derivative, then

\($\lim h \rightarrow x \frac{f(x+h)-f(x)}{h}\)

substitute the values in the above equation, we get

\($&=\lim h \rightarrow x \frac{(k x+k h+d)-(k x+d)}{h} \\\)

simplifying the above equation, we get

\($&=\lim h \rightarrow x \frac{k h}{h} \\\)

\(&=\lim h \rightarrow x k \\\)

= k

Therefore, the derivative of this function is \($f^{\prime}(x)=k$\)

b. Since the actual function is linear, its part is all real numbers by definition.

c. Since the product is a constant function, its part is all real digits by meaning.

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The y-intercept of a linear function is the point at which the graph of the function crosses the y-axis. This point is represented by the coordinate (0, b), where b is the y-intercept.

In the given graph, we can see that the graph of the linear function crosses the y-axis at the point (0, -5). Therefore, the y-intercept of the graph of this function is -5.

To summarize, the y-intercept of the graph of this function is -5.

Answer: -5

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Steps to solve:

-7x - 5y = -68 when x = -6

~Substitute and simplify

-7(-6) - 5y = -68

42 - 5y = -68

~Subtract 42 to both sides

-5y = -110

~Divide -5 to both sides

y = 22

Best of Luck!

Answer:

y = 75 x

Step-by-step explanation:

y is the total amount in his account.  Every month it increases $75

x = the number on months

y = 75x  After 3 months

y = 75(3)

y = 225

Answer:

Dylan must spend 45 minutes of his time on studies.

Step-by-step explanation:

Natasha gets 30 minutes less than Dylan. Total there can be 1 and half hour for studies which means there are 90 minutes for the studies. Dylan must spend half of his time on his studies.

90 minutes * 50% = 45 minutes.

Answer:

Step-by-step explanation:

I plotted this graph on Desmos**

When I plotted the line I got (3,-2) as the point where they intercept.

1st Equation Y=3x-11:
x: 0, 1, 2

y: -11, -8, -5

2nd Equation Y=-2x+4:

x: 0, 1, 2

y: 4, 2, 0

(Hopefully these points are right I went along with the graph I plotted, if wrong, I'm sorry.)

Answer:

-9, -5, -3, 0, 8, 10

I hope this helps!

Answer:

-9, -5, -3, 0 8, 10

Step-by-step explanation:

Negative is less than positive

The volume of the sphere with a radius of 2 units is 17.541π cubic units

A sphere is a solid 3-dimensional figure. The volume of a sphere is expressed as:

V = 2/3πr^3

where:

r is the radius of the sphere:

Given the following

r = 2 units

Substitute the given parameters

V = 2/3(π) * 2^3

V = 2/3 * π * 8

V = 16.75π/3

V = 17.541π cubic units

Hence the volume of the sphere with a radius of 2 units is 17.541π cubic units

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The effective interest method is used to amortize the bond premium. The carrying value of the bond increases by the effective interest each period, and the premium is amortized over the life of the bond. The journal entry for bond issuance is as follows: Dr. Cash 205,000, Dr. Premium on Bonds Payable 5,000, Cr. Bonds Payable 210,000

The effective interest method is a method of amortizing bond premium or discount that takes into account the time value of money. The effective interest is the interest that would be earned if the bond were purchased at its market value and held to maturity. The carrying value of the bond increases by the effective interest each period, and the premium is amortized over the life of the bond.

The journal entry for bond issuance records the proceeds from the sale of the bonds, the premium on bonds payable, and the bonds payable. The proceeds from the sale of the bonds are equal to the face value of the bonds plus the premium.

The premium on bonds payable is a liability that represents the excess of the issue price of the bonds over their face value. The bonds payable account is a long-term liability that represents the amount that the company owes to the bondholders.

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The probability of raffle ticket is a winner is 0.0002.

The ratio of good outcomes to all possible outcomes of an event is known as the probability. The number of positive results for an experiment with 'n' outcomes can be represented by the symbol x. The probability of an occurrence may be calculated using the following formula.

Probability(Event) = Positive Results/Total Results = x/n

Given:

probability that your raffle ticket is not a winner = 0.9998.

Now, we know if we have to find the complement probability we can use

P(E) = 1 - P(not E)

where E is any event.

Here, E = not winner

So, P( raffle ticket is a winner)

= 1- 0. 9998                                                  

= 0.0002

Hence, the probability of raffle ticket is a winner is 0.0002.

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we can tentatively conclude that the data is reasonably well-approximated by a normal distribution, but further analysis may be needed to confirm this conclusion.

To create a normal probability plot, we need to first sort the data in ascending order and then calculate the corresponding z-scores for each observation based on the normal distribution. We can then plot the observed z-scores against the expected z-scores on a normal distribution.

Here is the sorted data:

5.04  5.08  6.09  7.55  8.04  8.32  8.51  9.34  9.7   9.74  

10.49 10.94 11.2   11.68 12.39 12.9   14.05 14.64 28.34

And here are the corresponding z-scores calculated based on the normal distribution:

diff

-1.77 -1.74 -1.53 -1.17 -1.04 -0.96 -0.90 -0.72 -0.67 -0.65

-0.41 -0.29 -0.24 -0.17 0.06  0.21  0.48  0.65  3.09

The plot appears to be fairly linear, which suggests that the data could have come from a population that is normally distributed. However, there are a few points that deviate slightly from the line, particularly the two extreme points on the right-hand side. This suggests that there may be some skewness or outliers in the data that are causing deviations from normality.

Overall, we can tentatively conclude that the data is reasonably well-approximated by a normal distribution, but further analysis may be needed to confirm this conclusion.

the complete question is :

"The following data represent a random sample of the number of shares of a pharmaceutical​ company's stock traded for 20 days in 2000. Use a normal probability plot to assess whether the sample data could have come from a population that is normally distributed.

4.78 9.7 11.2 8.32 14.64

6.09 10.49 9.74 12.9 14.05

5.04 9.34 12.39 7.55 28.34

8.51 10.94 5.08 8.04 11.68

Please create a normal probability plot and interpret your findings."

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Answer:

if a joke i dont know

Answer:

y=2x-7, the slope is two and the y-intercept is -7

Step-by-step explanation:

2(x-3)=y+1

Distributive prop.

2x-6=y+1

Changing into slope-intercept form

y+1=2x-6

Subtract both sides by one

y=2x-7

The slope is two and the y-intercept is -7

The solution to the first problem (IVP) is y1(t) = k(1 - e^(-bt))/b, and the solution to the second problem (IVP) is y2(t) = ke^(-bt). Both solutions satisfy the given initial conditions.

Given two initial value problems (IVPs):

To solve the first differential equation, we multiply it by e^(bt) and obtain:

e^(bt)y′ + be^(bt)y = ke^(bt)δ(t)

Next, we apply the integration factor μ(t) = e^(bt). Integrating both sides with respect to time, we have:

∫[0+δ(t)]y′(t)e^bt dt + b∫e^bt y(t)dt = ∫μ(t)kδ(t)dt

Since δ(t) = 0 outside 0, we can simplify further:

∫[0+δ(t)]y′(t)e^bt dt + b∫e^bt y(t)dt = ke^bt y(0) = 0 (as given by the first equation, y(0) = 0)

Also, ∫δ(t)e^bt dt = e^b * Integral (0 to 0+) δ(t) dt = e^0 = 1

Simplifying the above equation, we obtain y1(t) = k(1 - e^(-bt))/b

Now, solving the second differential equation, we have y2(t) = ke^(-bt)

Since y1(t) = y2(t), the solution satisfies the initial conditions.

To summarize, the solution to the first problem (IVP) is y1(t) = k(1 - e^(-bt))/b, and the solution to the second problem (IVP) is y2(t) = ke^(-bt). Both solutions satisfy the given initial conditions.

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The R. Davis children are preparing for a relay event in which they will compete in a 1/3 mile relay race. The opening round of the competition will include three kids who will compete in the race.

This means that in the relay event, each kid will have to run 1/9th of a mile. Students will need to improve on their speed, endurance, and coordination in order to prepare for the race. They must be able to effortlessly deliver the baton from one runner to another, maintain their speed throughout the race, and push themselves to the maximum. In addition to physical preparation, students must improve their mental focus and motivation. They will do so.  need to stay positive and motivated throughout the race, and work as a team to achieve their goals.

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What is the scenario for R. Davis students in the relay tournament? How many students will run in the first round of the tournament, and what is the distance they will cover?

Answer:

6

Step-by-step explanation:

The formula for the area of a parallelogram is the base times height.

We know the base is 5, and the area is 30, so:

5x=30

x= 6

So the height is 6

Answer:

The area of a parallelogram is A= bh so since the base is 5, the height is 6

6 x 5 = 30^2

Step-by-step explanation:

Marc's current marginal tax rate can be determined by referring to the U.S. tax rate schedule for the year 2021 based on his taxable income.

To calculate Marc's current marginal tax rate, we need to look at the U.S. tax rate schedule for the year 2021. The tax rate schedule consists of several tax brackets, each with its corresponding tax rate. As taxable income increases, individuals move into higher tax brackets and are subject to higher tax rates. Based on Marc's taxable income of $260,000, we would need to refer to the tax rate schedule to determine his marginal tax rate. As the exact tax rates within the brackets can vary, it's important to consult the specific tax rate schedule for the given year.

By locating the corresponding tax bracket for $260,000 in taxable income, we can identify the applicable tax rate. Marc's current marginal tax rate would be the tax rate associated with the bracket that includes his interest.

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f(x) answers

g(x) answers

Answer:

24 centimeter square

Step-by-step explanation:

Volume = L x W x H

= 4 x 2 x 3

= 24 centimeter square

Answer:

Simplify the expression.

5x2+4x−4

Answer:

2x

Step-by-step explanation:

f(2)=(2x+1)2

f(2)=(4x+2)

÷ both by two

f(2)=(2x)

// have a great day //

The better deal between the two deals on turkey leg is 5 legs for .70

The better deal is solves by comparing the 2 prices with the unit price

if 3 legs for 3.99 marks one leg will be

3 = 3.99

1 = ?

cross multiplying

3 * ? = 1 * 3.99

? = 3.99/3

? = 1.33

if 5 legs for 0.70, one leg will be

5 = 0.70

1 = ?

cross multiplying

5 * ? = 1 * 0.7

? = 0.7/5

? = 0.14

5 legs for 0.70, is cheaper per unit price and a better deal

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The difference between the means of group 1 and group 2 would give us an idea of the direction and magnitude of any difference in motivation between the two groups.

Here are some possible ways to approach this question:

To investigate whether there is a true difference in motivation between the two groups, we could conduct a study or experiment that randomly assigns participants to either group 1 or group 2 and measures their motivation using a standardized test or questionnaire. We could then compare the average motivation scores between the two groups and use statistical tests to determine whether the difference is statistically significant.

The maximum difference between group 1 and group 2 that is likely if there is no true difference between the two groups is known as the margin of error. The margin of error depends on the sample sizes of the two groups and their variances. If the sample sizes are large and the variances are small, the margin of error will be smaller, indicating that any observed difference between the two groups is more likely to be statistically significant. If the sample sizes are small and the variances are large, the margin of error will be larger, indicating that any observed difference between the two groups is less likely to be statistically significant.

The variances of group 1 and group 2 would be important to know in order to determine the precision of the estimated means for each group. If the variances are large, it may be difficult to draw conclusions about the true population means based on the sample means alone.

The sizes of group 1 and group 2 would also be important to know in order to determine the statistical power of any tests that we conduct. If the sample sizes are small, we may not have enough power to detect a true difference between the two groups, even if one exists.

The difference between the means of group 1 and group 2 would give us an idea of the direction and magnitude of any difference in motivation between the two groups. However, without additional information or context, we cannot determine whether this difference is statistically significant or meaningful.

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Answer:

The sleds are marked up 25%

Step-by-step explanation: