The distance between Saturn and the Sun is 9. 54 AU. (One AU is the same as 150 million kilometers. )This distance in kilometers is ___

million kilometers

Answer:

x = 25

Step-by-step explanation:

First turn this into an equation:

\(\frac{4}{5}\) times x = 20

Now divide both sides by \(\frac{4}{5}\). You can't divide by a fraction, instead you multiply by flipping the fraction. So now you're multiplying both sides by \(\frac{5}{4}\).

20 times 5 = 100. Next you divide \(\frac{100}{4}\). This is equal to 25. You have completed the equation and now have the answer:

x = 25

Have a great day!

Answer: 6 children

Step-by-step explanation:

Given:

Children - 24

Groups - 4

Number of children per group - x

Solve:

24 ÷ 4 = x

x = 6

Hope it helps!!! Please mark as brainliest. Thanks :D

the correct answers are:

Is it a right triangle? No

Is it an isosceles triangle? Yes

Given the points P(7, -1, 1), Q(9, 0, 3), and R(10, -2, 1), we can determine the lengths of the sides of triangle PQR and determine its type.

To find the length of PQ, we can use the distance formula:

PQ = √((x₂ - x₁)² + (y₂ - y₁)² + (z₂ - z₁)²)

PQ = √((9 - 7)² + (0 - (-1))² + (3 - 1)²)

= √(2² + 1² + 2²)

= √(4 + 1 + 4)

= √9

= 3

Similarly, we can find the lengths of QR and RP:

QR = √((10 - 9)² + (-2 - 0)² + (1 - 3)²)

= √(1² + (-2)² + (-2)²)

= √(1 + 4 + 4)

= √9

= 3

RP = √((10 - 7)² + (-2 - (-1))² + (1 - 1)²)

= √(3² + (-1)²)

= √(9 + 1)

= √10

So, we have PQ = QR = RP = 3. Therefore, the triangle PQR is an isosceles triangle since all sides are equal to 3 units.

To determine if it is a right triangle, we can check if the square of the length of one side is equal to the sum of the squares of the other two sides.

In this case, PQ² + QR² = 3² + 3² = 18

RP² = √10² = 10

Since PQ² + QR² is not equal to RP² (18 ≠ 10), the triangle PQR is not a right triangle.

Hence, the correct answers are:

Is it a right triangle? No

Is it an isosceles triangle? Yes

To know more about isosceles triangle

https://brainly.com/question/28412104

#SPJ11

Answer:

mABC=130°

mEBD=130°

mABE=50°

Step-by-step explanation:

If we want the margin of error for the 90% confidence level to be about 1.5%, then a sample of 3002 is recommended.

In this problem, we want to find n for which  the margin of error for the 90% confidence level to be about 1.5%

From part (a), the 90% confidence interval is (0.435, 0.525)

the margin of error M = 0.015

0.015 = 1.645√(0.48 * 0.52)/n

(√n) ² = (0.015)²

n = 3001.9

n ≈ 3002

Therefore, a sample of 3002 is recommended.

Learn more about the margin of error here:

https://brainly.com/question/29101642

#SPJ4

The complete question is:

Exercise 6.12 presents the results of a poll where 48% of 331 Americans who decide to not go to college do so because they cannot a ord it. (a) Calculate a 90% con dence interval for the proportion of Americans who decide to not go to college because they cannot a ord it, and interpret the interval in context. (b) Suppose we wanted the margin of error for the 90% con dence level to be about 1.5%. How large of a survey would you recommend?

Answer:

P has a greater slope

Although I might be wrong.

When x^3+2x^2+x+1 is divided by (x+1) then remainder is 1.

In the given question, we have to find what is remainder when x^3+2x^2+x+1 is divided by (x+1).

To find the remainder there are two ways. First we divide the x^3+2x^2+x+1 by (x+1). Second we find the value of from (x+1) by equating (x+1) equal to zero. The put the value of x in the expression x^3+2x^2+x+1.

In this we ca easily find the remainder.

Now we firstly find the value of x;

(x+1) = 0

Subtract 1 on both side we get;

x= −1

Now put x= -1 in the expression x^3+2x^2+x+1.

x^3+2x^2+x+1 = (−1)^3+2(−1)^2+(−1)+1

x^3+2x^2+x+1 = −1+2−1+1

x^3+2x^2+x+1 = 1

Hence, when x^3+2x^2+x+1 is divided by (x+1) then remainder is 1.

To learn more about division of polynomial link is here

brainly.com/question/29718477

#SPJ4

The right question is:

What is remainder when x^3+2x^2+x+1 is divided by (x+1)?

a) Based on the output, the maximum likelihood estimate of 1 is A) 0.353.

b) The correct interpretation of the maximum likelihood estimate of 1 in the context of this question is C) It represents the predicted change in fuel consumption as attic insulation rating changes by 1 unit.

c) Based on the output, the maximum likelihood estimate of 0 is D) 0.976.

d) To find the estimated residual for the observation at x3 = 0.9, first, calculate the predicted fuel consumption using the equation: y = 0 + 1x.
y = 0.976 + (0.353 * 0.9) = 1.2957.

The actual fuel consumption at x3 = 0.9 is 1.34. Therefore, the residual is:
1.34 - 1.2957 = 0.0443.

The closest answer to this value is A) 0.046.

https://brainly.com/question/31496399

#SPJ11

Answer:

3 Hours

Step-by-step explanation:

You spent 3 hours earning $11 per hour $33

and 1 hour earning $15 per an hour

Answer:

you bagged groceries for 3 hours 11x3=33 you shoveled there house for 1 hour 33+15=48

Step-by-step explanation:

$48

Answer:

A, D, E, F

Step-by-step explanation:

If you graph those four equations or plug in 0 as x, you would find that all of them are equal to -8

The total income of the entire population is rising at a rate of $18.16 billion per year in 1997.

In this problem, we are given the population of a country and its annual growth rate, as well as the average annual income of a person and its growth rate. We need to determine how quickly the total income of the entire population is rising in 1997.

First, let's calculate the total population growth in 1997:

Population in 1997 = 20 million

Population growth rate = 0.2 million per year

So, the population in 1998 will be:

Population in 1998 = 20 million + 0.2 million = 20.2 million

Now, let's calculate the average income growth in 1997:

Average income in 1997 = $15,000 per year

Income growth rate = $800 per year

So, the average income in 1998 will be:

Average income in 1998 = $15,000 + $800 = $15,800 per year

Next, we need to calculate the total income of the entire population in 1997:

Total income in 1997 = Population in 1997 x Average income in 1997

Total income in 1997 = 20 million x $15,000 = $300 billion per year

Now, let's calculate the total income of the entire population in 1998:

Total income in 1998 = Population in 1998 x Average income in 1998

Total income in 1998 = 20.2 million x $15,800 = $318.16 billion per year

Finally, we can determine how quickly the total income of the entire population is rising in 1997:

Total income growth rate = (Total income in 1998 - Total income in 1997) / 1 year

Total income growth rate = ($318.16 billion - $300 billion) / 1 year

Total income growth rate = $18.16 billion per year

To know more about average here.

https://brainly.com/question/16956746

#SPJ4

The scale factor used to create the travel version of the piece is 1: 0.16

0.6 is the scale factor used to reduce the dimensions of the original piece having sides measuring 3 inches each.

Scale factor is calculated by dividing the new reduced scale by original scale. Hence:

0.5/3 = 0.166

The ratio of the scale of an original thing to a new object that is a representation of it but of a different size is known as a scale factor (bigger or smaller).

Scale Factor = New Shape Dimension / Original Shape Dimension

Enlarging a small form into a huge one is known as scaling up. Upscaling always uses a scale factor greater than 1. A scale factor 2 means the figure is enlarged twice the original figure's size.

A large number gets scaled down in order to become a smaller one. Scaling down always results in a scale factor less than 1.

To learn more about scale factor:

https://brainly.com/question/10253650

#SPJ4

The 99% confidence interval for the true mean length of the manufactured bolt is (2.9177, 3.0823)

Here, we need to construct a 99% confidence interval for population mean (μ) is given by

μ = x + Zα/2 * σ/√n   or    μ = x - Zα/2 * σ/√n

where, μ = population mean

x = sample mean

  = 3 inches

σ = population standard deviation

  = 0.3 inches

Zα/2= z score for a two tailed test at level of significance α = 2.576( for a 99% confidence level)

So, the upper limit would be,

μ = 3 + 1.645 * (0.3/√36)

μ = 3 + 1.646 * (0.3/6)

μ = 3.0823

And the lower limit would be,

μ = 3 - 1.645 * (0.3/√36)

μ = 3 - 1.646 * (0.3/6)

μ = 2.9177

Hence, the 99% confidence interval is (2.9177, 3.0823)

Learn more about confidence interval here:

https://brainly.com/question/24131141

#SPJ4

The account increases in value by 1% every quarter, which is equivalent to 1/4% every month.

Savings interest is calculated on a daily basis and deposited into the account on the first day of the next quarter. The interest rate will depend on the balance in the account. Now it's between 3% and 3.5%.

To find the increase in value for an account with an APR of 4% and quarterly compounding, we'll first need to convert the APR to a quarterly interest rate.
1. Divide the APR by the number of compounding periods in a year: 4% / 4 = 1%.
2. The account increases in value by 1% every quarter.

Your answer: a. 1%

Learn more about Quarter:

brainly.com/question/391885

#SPJ11

Answer:

Step-by-step explanation:

1a) The function will shift 5 units to the right, 4 units down,

1b).The function will shift 3 units to the left, stretched in the y direction by a scale factor of 3, and shift up 2 units.

2a). The function will shift 2 units to the left, reflect over the x axis, and shift 2 units down.

2b) The function will stretched in the y direction by a scale factor of -2 and shift the function up 3 units.

9514 1404 393

Answer:

  1a. translation right 5, down 4

  1b. vertical stretch ×3, translation left 3, up 2

  2a. translation left 2, down 2

  2b. reflect in x, vertical stretch ×2, translation up 3

  3. f(x) = -4/(x+5)+4

  4. f(x) = 1/2√(3(x +3)) -4

Step-by-step explanation:

Transformations of functions can be decoded by considering the transformation ...

  g(x) = a·f((x-h)/b) +k

The transformations here are ...

Note that either 'a' or 'b' can be a fraction less than 1, which results in a transformation usually described as a compression (not a stretch). If either of these is negative, then a reflection over the x-axis (a<0) or y-axis (b<0) is also involved. The stretch (or compression) and/or reflection is applied before the translation the way this is written.

_____

1a. translation right 5, down 4

1b. vertical stretch by a factor of 3, translation left 3, up 2

__

2a. translation left 2, down 2

2b. reflected across the x-axis, vertically stretched by a factor of 2, translated up 3

__

3. a=4, b=-1, h=-5, k=4

f(x) = -4/(x+5)+4

__

4. a=1/2, b=1/3, h=-3, k=-4

f(x) = 1/2√(3(x +3)) -4

_____

The graphs in the attachments show the various functions. (It takes a little work to verify that the graph in the last attachment has the appropriate compressions, but it does.)

Answer:

43.75 miles

Step-by-step explanation:

You divide the 35 by 4 and then just add it to the original distance of 35 miles. 35/4=8.75

8.75+35=43.75

The given equation is

To solve for x, the logarithm to indices relationship will be applied

That is

Hence

This is simplified to get

Therefore, the value of x = 4

If R is the midpoint of QS, that means the segments QR and RS have the same length.

Also, QS is the sum of the segments QR and RS.

So we have that:

So the length of QS is 64.

The absolute value is used to represent the magnitude of a number, regardless of its sign.

The absolute value is commonly used in mathematical equations, particularly in situations where the sign of a number does not carry any significance or when a distance or a difference is being measured.

For example, the absolute value of -5 is 5, and the absolute value of 5 is also 5. This is useful when working with negative numbers in calculations, as the absolute value allows them to be treated as positive numbers. Additionally, it is used to define the distance between two points on a number line.

To know more on absolute value

https://brainly.com/question/1301718

#SPJ4

Answer:

−12

Step-by-step explanation:

To solve this expression, we need to use the order of operations. The order of operations is a set of rules that dictate the sequence in which operations should be performed in a mathematical expression. The order of operations is often abbreviated using the acronym PEMDAS, which stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).

Answer:

2

Step-by-step explanation:

First, let's solve the inequality.

Step 1: Subtract 6 from both sides.

Step 2: Divide both sides by 5.

Now that we know x has to be less than 2.6, we can easily assume the largest integer value that satisfies the inequality is when x = 2

Answer:

18.84

Step-by-step explanation:

1. The formula for volume of a cone is (r^2x3.14xh)/3

2. So it would be 3^2x3.14x2 divided by 3

3. that would be 18.84

The value of  f(3,847) for function  \(f(x)=log(x)\) is \(f(3,847)= 3.5867.\) and

for the equation  \(f(x)=ln(x)\) is \(f(38,141) = 10.5492\)

To evaluate f(3,847) using the function \(f(x) = log(x),\) we simply substitute \(x = 3,847\) into the function:

\(f(3,847) = log(3,847)\)

Using a calculator or logarithmic tables, we find that\(log(3,847) = 3.5867\) (rounded to four decimal places).

Therefore, \(f(3,847)= 3.5867.\)

To evaluate f(38,141) using the function f(x) = ln(x), we substitute x = 38,141 into the function:

\(f(38,141) = ln(38,141)\)

Using a calculator, we find that \(ln(38,141) = 10.5492\) (rounded to four decimal places).

Therefore,\(f(38,141) = 10.5492\)

Learn more about decimal here:

https://brainly.com/question/50455

#SPJ11

Answer:

its called a calculator division and multiplication

Step-by-step explanation:

  Among the given options (A, B, C, D), the correct population regression model when k = 2 is option D: Y = β0 + β1X1 + β2X2 + e.

In a population regression model, we are interested in modeling the relationship between a dependent variable (Y) and one or more independent variables (X1, X2, etc.). The model equation consists of the regression coefficients (β0, β1, β2, etc.) that represent the effect of each independent variable on the dependent variable, and the error term (e) that captures the unexplained variation in the data.
Among the given options, only option D includes all the necessary components of a population regression model with two independent variables (k = 2). It includes the dependent variable Y, the regression coefficients β0, β1, and β2 for the independent variables X1 and X2, respectively, and the error term e.
Options A, B, and C are incorrect because they either omit the error term or have an incomplete equation. The error term is crucial in accounting for the unobserved factors and random variation in the relationship between the variables.
Therefore, the correct population regression model when k = 2 is option D: Y = β0 + β1X1 + β2X2 + e.

Learn more about regression model here
https://brainly.com/question/31079962



#SPJ11

The correct option for this question is B. There has been a rise in three-point shots, and players tend to score more points now.

Why it is?

The factor that makes it challenging to make a fair comparison between a current NBA star and an NBA star from the 1990s is:

B. There has been a rise in three-point shots, and players tend to score more points now.

The increase in three-point shots has significantly changed the way the game is played and the strategies used by teams, which makes it difficult to compare the performance of players from different eras.

Players in the current NBA tend to score more points because of the increased emphasis on the three-point shot, while players from the 1990s may have had different strengths and styles of play that were more effective in that era. Therefore, it is challenging to make a fair comparison between players from different eras based solely on their statistics.

To know more about percentage related question visit:

https://brainly.com/question/25847723

#SPJ1