The radius of Earth is 6,378.1 km, which is 63,532.9 km less than the radius of Jupiter. Find the radius of Jupiter.

-7

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Answer:

15,011

Step-by-step explanation:

Because 1.5 percent of 825,000 is 12375. She gets 2,600, so add that, and 12 times 3 for 3 houses is 36.

Add 12,375+2,600+36, you get 15,011!

The total monthly earnings of the seller would be $15,011.

Given that,
A realtor sells 3 houses this month for a total of $825,000, and each buyer uses her company to process their loan. She earns a base pay of $2,600 each month plus 1.5% of her total house sales. She also gets a fee of $12 for each loan she gets serviced through her company. To determine the total earnings for the month.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

Here,
Total earning = 2600 + 1.5% of 825000 + 12
Total earning = 2600 + 12375 +12
Total earning = $15,011

Thus, the total monthly earnings of the seller would be $15,011.

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The distance and average speed of bunny are  39 units and 780 units per hour.

The bunny hopped from \($-5 to 34$\) on the number line, which means it hopped a distance of:

\($$34 - (-5) = 34 + 5 = 39$$\)

Therefore, the bunny hopped a distance of 39 units.

To find the average speed of the bunny, we need to divide the distance it traveled by the time it took:

\($\text{Average speed} = \frac{\text{Distance traveled}}{\text{Time taken}}$$\)

The time taken by the bunny was 3 minutes, or \($\frac{3}{60}$\) hours. Therefore, the average speed of the bunny was:

\($\text{Average speed} = \frac{39}{\frac{3}{60}} = \frac{39 \times 60}{3} = 780 \text{ units per hour}$$\)

Therefore, the bunny's average speed was 780 units per hour.

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Answer:

distance:39

Average:13 per minute

Step-by-step explanation:

I can not explain i don't know how to

Answer:

-2/15 or -0.13

Step-by-step explanation:

-1/3 * 2/3 * 3/5

-2/3 * 1/5

-2/15 or -0.13

Answer:

Step-by-step explanation:

To fully answer this question, I would need the information presented in Figure 3.14 that provides the computer solution. Unfortunately, I cannot access or view specific figures or external sources. However, I can explain the general approach to solving such a problem and provide a LaTeX code snippet to format the question.

To solve the given problem, it appears to be a linear programming problem where the goal is to optimize the total annual return subject to certain constraints. The decision variables are the number of shares of US Oil (U) and Huber Steel (H) to be purchased.

a. The optimal solution would provide the values of U and H that maximize the total annual return while satisfying the given constraints. The value of the total annual return would be the objective function value at the optimal solution.

b. The binding constraints are those that are active and determine the solution. These constraints limit the risk index, the total investment amount, and the maximum number of shares of US Oil. Interpretation of these constraints would depend on the specific problem and its context.

c. The dual values for the constraints represent the marginal values or shadow prices associated with each constraint. They indicate the rate of change in the objective function value for a small change in the right-hand side of the constraint. Interpretation of dual values would also depend on the specific problem and its context.

d. The impact of increasing the maximum amount invested in US Oil would depend on the objective function and the constraints. It could lead to a higher total annual return if US Oil has a higher return rate and the constraint on the risk index or total investment amount allows for it. However, if the maximum number of shares of US Oil is already binding, increasing the maximum investment amount would not be beneficial.

Please provide any additional information or specific values from Figure \(3.14\) if you have access to it, and I can assist further.

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Answer:

70,000 50,000

Step-by-step explanation:

just round it. not sure if it right

It is always advisable to explore other analyses or statistical tests to thoroughly investigate the relationship between variables if a slope of 0 is observed.

When the slope of the regression line is 0, it indicates that there is no linear relationship between the predictor variable (X) and the criterion variable (Y). In other words, the predictor variable does not have any effect on the criterion variable. This means that changes in the value of the predictor variable do not result in any changes in the value of the criterion variable.

When the variables are essentially unrelated, you cannot make any accurate predictions or estimations about the criterion variable based solely on the predictor variable. In this case, your best guess at the criterion score would simply be the overall mean of the criterion variable.

To interpret the regression plot with a slope of 0, you would observe a flat line where the predicted values of the criterion variable remain constant across different values of the predictor variable. The scatterplot of the data points would show no discernible pattern or trend, indicating the lack of a relationship between the variables.

It's important to note that a slope of 0 only represents a lack of a linear relationship. There could still be other types of relationships or nonlinear associations between the variables that are not captured by the linear regression model. Therefore, it is always advisable to explore other analyses or statistical tests to thoroughly investigate the relationship between variables if a slope of 0 is observed.

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Answer:

\(d = 3h - 6\)

Step-by-step explanation:

Step 1:  Solve for d

I am assuming that you are asking for me to solve for the variable d.  Let me know if what I am doing is not what you want.

\(h = \frac{d}{3} + 2\)

\(h - 2 = \frac{d}{3} + 2 - 2\)

\((h - 2) * 3 = \frac{d}{3} * 3\)

\(3h - 6 = d\)

Answer:  \(d = 3h - 6\)

Responder:

20.000

Explicação passo a passo:

Dado que:

Porcentagem de bois no rebanho = 15%

Percentagem de vacas = (100 - 15)% = 85%

Número de vacas = 17.000

Por isso,

85% = 17.000

15% = x

Multiplicação cruzada

0,85x = 17.000 * 0,15

0,85x = 2550

x = 2550 / 0,85

x = 3000

Número de bois no rebanho = 3000

Portanto, número total de gado no rebanho =

3000 + 17000 = 20.000

The amount of orange that Manny and Josh have leftover after eating lunch is 1.

A fraction is a non-integer. A fraction usually has a numerator and a denominator. The numerator is the number above. While the denominator is the number below

Oranges Manny has left = 1 - 4/9 = 5/9

Oranges Josh has left = 1 - 5/9 = 4/9

Oranges they both have left = 5/9 + 4/9 = 1

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From the given statement, "The price of a Rolex watch in 1964 was $500. Today the price of a Rolex watch is $5,000," we can determine that Rolex watches are more expensive than they were in 1964.

Therefore, the correct option is A. Rolex watches are more expensive than they were in 1964.What is inflation?Inflation refers to the rate at which prices for goods and services rise and, as a result, money loses value. The consumer price index (CPI), which measures the changes in the prices of a basket of goods and services used by households, is the most common measure of inflation.

What is nominal variable?A nominal variable is one in which the values are categories. Nominal variables are qualitative variables, which means they describe a characteristic or attribute of the subject. Examples include gender, race, nationality, and religion.

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Answer:

50 candies

Step-by-step explanation:

since there are 200 in total and there is a 25% chance of getting one, I multiplied 0.25×200.

Hope this helps

Answer:

y=−2x+5

Step-by-step explanation:

y=mx+b

The equation of the line that passes through points (5, -3) and (-3, -3) is y = -3

The slope of a line is the ratio of the amount that y increases as x increases some amount. Slope tells you how steep a line is, or how much y increases as x increases. The slope is constant (the same) anywhere on the line.

Equation of straight line is y = mx + c

where m = slope and c = y-intercept

at x = 5, y = -3 so that

-3 = 5m+ c-------------1

at x = -3, y = -3

-3 = -3m + c-------------2

subtract equation 2 from equation 1

0 = 8m

m = 0

substitute m = 0 in equation 1

-3 = 5(0) + c

c = -3

so that equation of line is y = -3

In conclusion the equation of line is y = -3

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Answer:

Step-by-step explanation:

15-(-5) = 20 and 35-15=20  so d=20

\(a_n=a_1+d(n-1)\\\\a_1=-5\\d=20\\\\a_{84}=-5+20(84-1)=-5+20\cdot83=-5+1660=1655\)

Answer:

Step-by-step explanation:

We know Lou and Jacob each sold 200 pieces of jewelry.

Lou sold 20% of rings from the 200 pieces of jewelry.

                 20%* 200

                   = 20/100* 200

                      40 rings

While Jacob sold 35 rings of all the jewelry.

Therefore, Lou sold more rings. 5 more rings were sold by Lou.

Answer:

2 in first column -5 in the second

Step-by-step explanation:

Answer:

x = 24

Step-by-step explanation:

Now we have to,

→ find the required value of x.

The equation is,

→ x/12 = 2

Then the value of x will be,

→ x/12 = 2

→ x = 2 × 12

→ [ x = 24 ]

Hence, the value of x is 24.

\(\huge\text{Hey there!}\)

\(\mathsf{\dfrac{x}{12} = 2}\)

\(\mathsf{\dfrac{1}{12}x = 2}\)

\(\large\text{MULTIPLY 12 to BOTH SIDES}\)

\(\mathsf{\dfrac{1}{12}x\times 12 = 2 \times 12}\)

\(\large\text{Simplify it}\)

\(\mathsf{x = 12\times 2}\)

\(\mathsf{x = 24}\)

\(\huge\text{Therefore your answer should be:}\)

\(\huge\boxed{\mathsf{x = 24}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

Integral is \(\int_0^{27} (sin x)/x dx\) ≈ 0.246918974 (rounded to nine decimal places).

To approximate the integral ∫₀²⁷ (sin x)/x dx with an error of magnitude less than 10⁻⁸ using series, we can use the Maclaurin series expansion of sin x:

sin x = x - (x³/3!) + (x⁵/5!) - (x⁷/7!) + ...

Substituting this series into the integral, we get:

∫₀²⁷ (sin x)/x dx = ∫₀²⁷ (x - (x³/3!) + (x⁵/5!) - (x⁷/7!) + ...) / x dx

= ∫₀²⁷ (1 - (x²/3!) + (x⁴/5!) - (x⁶/7!) + ...) dx

= [x - (x³/(33!)) + (x⁵/(55!)) - (x⁷/(7 × 7!)) + ...]

Evaluated from x = 0 to x = 0.27

Using the first four terms of this series, we get:

∫₀²⁷ (sin x)/x dx ≈ [0.27 - ((0.27)³/(33!)) + ((0.27)⁵/(55!)) - ((0.270)⁷/(7×7!))]

= 0.246918974

To estimate the error of this approximation, we can use the remainder term of the Maclaurin series:

|Rn(x)| ≤ M(x-a)ⁿ⁺¹/(n+1)!

M is an upper bound for the nth derivative of sin x, and a = 0 for the Maclaurin series.

The sin x Maclaurin series, we can use M = 1.

Using the fifth term of the series as the remainder term, we get:

|R5(0.27)| ≤ ((0.27)⁶)/(6!)

≈ 1.96 x 10⁻⁸

Since this is less than 10⁻⁸, we can conclude that our approximation is accurate to the desired level of precision.

\(\int_0^{27} (sin x)/x dx\) ≈ 0.246918974 (rounded to nine decimal places).

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The value of the integral, to an error of magnitude less than 10^-8, is approximately 0.24618491.

To approximate the value of the integral with an error of magnitude less than 10^-8, we can use the Taylor series expansion of sin x/x about x=0. We have:

sin x/x = 1 - x^2/3! + x^4/5! - x^6/7! + ...

Integrating this series term by term from 0 to 0.27, we obtain:

integral 0.27 0 sin x/x dx ≈ 0.27 - 0.27^3/3!/3 + 0.27^5/5!/5 - 0.27^7/7!/7 + ...

We can use the alternating series estimation theorem to estimate the error in the approximation. The terms of the series decrease in magnitude and alternate in sign, so the error is less than the absolute value of the first neglected term, which is 0.27^9/9!/9. This is less than 10^-8, so we can stop here and round the approximation to nine decimal places:

integral 0.27 0 sin x/x dx ≈ 0.24618491

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The correct form of a particular solution of the differential equation y" + 4y = cos (2x) is y_p = A cos (2x) + B sin (2x).

The complementary function of the differential equation is y_c = C_1 cos (2x) + C_2 sin (2x), where C_1 and C_2 are constants determined by the initial conditions.

To find the particular solution, we assume that y_p has the same form as the forcing function, which is cos (2x). Since the equation is linear, we can superimpose the particular solution on top of the complementary function, so we have:

y_p = A cos (2x) + B sin (2x)

Taking the first and second derivatives of y_p, we get:

y'_p = -2A sin (2x) + 2B cos (2x)

y''_p = -4A cos (2x) - 4B sin (2x)

Substituting these expressions into the differential equation, we have:

(-4A cos (2x) - 4B sin (2x)) + 4(A cos (2x) + B sin (2x)) = cos (2x)

Simplifying, we get:

(4B - 4A) sin (2x) + (4A + 4B) cos (2x) = cos (2x)

We can solve for A and B by equating coefficients of sin (2x) and cos (2x) on both sides of the equation. This leads to:

A = 0

B = 1/4

Therefore, the particular solution is y_p = A cos (2x) + B sin (2x) = 1/4 sin (2x).

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We need to find the percentage of prates own a pet crab

There are 20 prates

4 of them own pet

Then we need the percent of 4 out of 20

We will divide 4 by 20 and multiply the answer by 100%

We will simplify it

The percentage of prates on the ship own a pet is 20%

Answer:

(-(11 w^2 - 13))

Step-by-step explanation:

Simplify the following:

2 w^2 - 13 w^2 + 13

Grouping like terms, 2 w^2 - 13 w^2 + 13 = (-13 w^2 + 2 w^2) + 13:

(-13 w^2 + 2 w^2) + 13

2 w^2 - 13 w^2 = -11 w^2:

-11 w^2 + 13

Factor -1 out of -11 w^2 + 13:

Answer: (-(11 w^2 - 13))

Answer:

sqrt (233)

Step-by-step explanation:

Use pythagorean theorem

a^2 + b^2 = hypotenuse^2

8^2 + 13^2 = hypot^2

233 = hypot ^2          hypot = sqrt 233

Answer:

3x1/8x2/5=3/20

Step-by-step explanation:

The population parameter being estimated is the confidence coefficient.

The confidence coefficient is the confidence level stated as a proportion, rather than as a percentage. For example, if you had a confidence level of 99%, the confidence coefficient would be . 99. In general, the higher the coefficient, the more certain you are that your results are accurate.

probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

Hence, The probability that the interval estimation procedure will generate an interval that does not contain the actual value of the population parameter being estimated is the confidence coefficient.

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\(\pi \int\limits^6_0 {\frac{26}{3} } \, x^{2} -\frac{1}{9} x^{4} dx\) is the integral that uses the method of disks/washers to find the volume v of the solid obtained by rotating the region bounded by the given curves about the specified lines.

A method for determining the volume of a solid of revolution of a solid-state material while integrating along an axis "parallel" to the axis of revolution is known as disc integration, also known as the disc method in integral calculus.

This technique stacks an endless number of discs with varied radii and minuscule thickness to produce the final three-dimensional form. To create hollow solids of revolutions, the same ideas may also be applied when using rings in place of discs (this is known as the "washer technique").

As opposed to this, shell integration integrates along an axis that is parallel to the axis of revolution. The solution can be seen in the attached images below.

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Since both sides of the equation are equal, we have completed the basic step of the proof, showing that P(1) is true.

a.) The statement P(1) is obtained by substituting n=1 into the equation. So, P(1) would be: 1³ = (1(1 + 1) / 2)²

b.) To show that P(1) is true, we need to prove that both sides of the equation are equal:

Left side: 1³ = 1

Right side: (1(1 + 1) / 2)² = (1(2) / 2)² = (2 / 2)² = 1² = 1

Since both sides of the equation are equal, we have completed the basic step of the proof, showing that P(1) is true.

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a) The equation is not true for n = 1, so P(1) is false.

b) The positive integer n, 13 + 23 + … + n3 = (n(n + 1) / 2)²" is not true for n = 1

a) To find P(1), we substitute n = 1 into the equation given:

13 = (1(1 + 1) / 2)²

13 = (1 / 2)²

13 = 1/4

The equation is not true for n = 1, so P(1) is false.

b) To complete the basic step of the proof, we need to show that P(1) is true.

However, we have just shown that P(1) is false.

This means that the statement "for the positive integer n, 13 + 23 + … + n3 = (n(n + 1) / 2)²" is not true for n = 1.

Therefore, the proof cannot proceed and is incomplete.

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Answer:

ok so 6ft would be the answer