NEED HELP ASAP
Earth is approximately 9 × 107 miles from the Sun. Neptune is approximately 3 × 109 miles from the Sun. Neptune is approximately ____ times farther from the Sun than Earth.
Answers
Answer:
300
Step-by-step explanation:
Neptune is approximately 33 times farther from the sun that earth.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Distance of Earth from the Sun = 9 × 10⁷
Distance of Neptune from the Sun = 3 × 10⁹
Now,
Since, Distance of Earth from the Sun = 9 × 10⁷
Distance of Neptune from the Sun = 3 × 10⁹
Hence, The times of distance between the Earth and Sun from Neptune; = 9 /3 × 10⁷×10²
= 100/3 × 9× 10^7
= 100/3 times of distance between Earth & Sun
Hence, Neptune is approximately 33 times farther from the sun that earth.
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Related Questions
To evaluate whether customers enjoy the barista’s new smoothie, a restaurant manager surveys every other customer who orders the new smoothie. The manager determines that customers enjoy the new smoothie. Select all the statements that are true about the sampling method.
Answers
The sampling method used by the restaurant manager allows for efficient data collection and a representative sample, it may introduce bias and lacks randomization.
Based on the information provided, we can identify the following statements that are true about the sampling method used by the restaurant manager to evaluate customer satisfaction with the new smoothie:
1. The manager uses systematic sampling: The manager surveys every other customer who orders the new smoothie. This systematic approach involves selecting every second customer, providing a consistent and organized sampling method.
2. The sample is representative: By surveying every other customer who orders the new smoothie, the manager ensures that the sample includes a variety of customers, reflecting the customer population as a whole.
3. The sample size may be smaller than the total customer base: Since the manager surveys every other customer, the sample size may be smaller compared to surveying every customer. This allows for efficient data collection and analysis.
4.The sampling method may introduce bias: The manager may inadvertently introduce bias by only surveying every other customer. Customers who are skipped in the survey may have different preferences or opinions, leading to a potential bias in the results.
5. The sampling method lacks randomization: Randomization is not employed in this sampling method, as the manager systematically selects customers. This could potentially introduce bias or exclude certain types of customers from the sample.
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Lana expected 50 people to come to the picnic, but 60 people actually showed up.
Calculate the percent error.
Answers
Answer:
it is 10%
Step-by-step explanation:
60 - 50 = 10
Question 2 of 39
Look at this series: 56, 54, 50, 38, 34, ... What number should come next?
A) 23
B) 18
C) 20
D) 32
E) 26
Answers
Answer:
D) 32
Step-by-step explanation:
Given;
series: 56, 54, 50, 38, 34, ....
find the difference between successive numbers;
56 54 50 38 34 x
2 4 12 4 2
The highest difference between the numbers is 12, after which it decreases to 4 and finally back 2.
The next number "x" is calculated as;
34 - 2 = x
34 - 2 = x
32 = x
Therefore, the next number should be 32.
The next number that should come next in the series is 32.
Sequence is an arrangement of two or more things in a successive order. Series is the cumulative sum of a given sequence of terms.
Given the numbers in the series: 56, 54, 50, 38, 34, . . ..
The difference is 2, 4, 12, 4, 2
The highest difference between the numbers is 12, after which it decreases to 4 and finally back 2. Hence:
The next number = 34 - 2 = 32
The next number that should come next in the series is 32.
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Find the area of the figure.
A)41 cm
B)90 cm
C)95cm
D)100cm
Answers
Answer:
The answer is B) 90 cm^2
Step-by-step explanation:
The area of the rectangle and the triangle are
\(rect = 10 \times 8 =80 \\ tria = 0.5 \times 4 \times 5 = 10 \\ the \: total \: area \: is \: 80 + 10 = 90\)
I hope that is useful for you
assume the rate of inflation is 7% per year for the next 2 years. what will be the cost of goods 2 years from now, adjusted for inflation, if the goods cost $430.00 today? in 2 years the same goods will cost approximately ____(round to the nearest cent)
Answers
Explanation:
The cost of the goods can be calculated using the following exponential equation:
\(C=C_0(1+r)^t\)Where C0 is the cost of the goods today, r is the rate of inflation per year and t is the number of years.
We use this equation because inflation is the rate at which the cost of goods grows every year.
So, replacing C0 by $430, r by 0.07, and t by 2, we get:
\(\begin{gathered} C=430(1+0.07)^2 \\ C=430(1.07)^2 \\ C=430(1.1449_{}) \\ C=\text{ \$492.307} \end{gathered}\)Therefore, in 2 years the same goods will cost approximately $432.31
Find and sketch the domain of f(X,y) = 1/√x^2-y
Answers
Answer:
Step-by-step explanation:
The definition of a Domain in math is all the possible input values that go into the function, so we will have to find all the valid values that can go into the function
The function given is \(F(x, y)=\frac{1}{\sqrt{x^2-y} }\) , the denominator cannot be 0.
So we set up the equation
\(\sqrt{x^2-y} \neq 0\)
\(\sqrt{x^2-y}^{2} \neq 0x^2-y\neq 0x^2\neq y\)
And that the the square root needs to be more than 0.
\(\sqrt{x^2-y}\geq 0\)
\(x^2-y\geq 0\)
\(x^2\geq y\)
So we can conclude that all values of \(x^{2}\) must be greater y
That means that our domain is all X values greater than\(\sqrt{y}\)
A radioactive substance is decaying exponentially. If there are initially 15 grams of the substance and after 3 hours there are
5 grams, what is the approximate half life of the substance, in hours? Round to two decimal places.
Answers
Answer:
1.89
Step-by-step explanation:
The approximate half life of the substance is 1.90 hours.
How to calculate the half life?Half life of any quantity implies the time at which its value becomes half of the initial value. To calculate it consider an exponentially decaying function which has a decay factor that is the rate of decaying. Then, the half life is calulted as the ratio of ㏒(2) to the decay factor.
Given that,
The initial amount of radioactive substance is 15 grams.
And, after 3 hours the final amount is 5 grams.
The given problem can be written in the form of exponential decay as,
N = N₀e^(-at)
Where N₀ and N are the initial and final values and a is the decay constant.
Substitute the corresponding values in the above equation to get,
5 = 15e^(-3a)
=> e^(-3a) = 1/3
=> 3a = ln(3)
=> a = ln(3)/3
= 0.366
Since, the half life is evaluated as 0.693/a.
The half life for the given case is 0.693/0.366 = 1.90
Hence, the half life of the given radioactive substance is 1.90 hours.
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The chart below shows how far an object travels over a certain time.
A 3-column table with 4 rows. Column 1 is labeled Seconds with entries 4, 8, 12, 16. Column 2 is labeled Inches with entries 18, 36, 54, 72. Column 3 is labeled feet with entries 1.5, 3, blank, 6.
After 12 seconds, how far, in feet, will the object travel?
It will travel ??? feet
Answers
Answer:
4.5 Hope this helps
Step-by-step explanation:
Answer: 4.5
Step-by-step explanation: edge. 2022
let n be an integer. show that if a, b are relatively prime integers, each of which divides n, then ab divides n.
Answers
\(a*b\) must contain all of the prime factors of n and the exponent of each factor must be less than or equal to the exponent of n. This means that a*b divides n.
Let n be an integer and a, b be relatively prime integers, each of which divides n. This means that a and b have no common factors other than 1. According to the Fundamental Theorem of Arithmetic, the prime factorization of n can be written as n = p1^k1 * p2^k2 * ... * pn^kn. Since a and b divide n, each of their prime factorizations must contain all of the prime factors of n, and the exponents must be less than or equal to the exponents of n. Therefore, a*b must contain all of the prime factors of n and the exponent of each factor must be less than or equal to the exponent of n. This means that a*b divides n.
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Your new computer cost $1500 but it depreciates in value by about 18% each year. About how long will it take before your computer is worth close to zero dollars, according to your equation?
Answers
Answer:
5.5 years
Step-by-step explanation:
100/18 = roughly 5.5 years (5.55555556 to be exact)
Hope this makes sense.
A sponsor created this box and whisker plot to show the ages of the 120 people seated in the first five rows at the concert. What was the median age of the 120 people sitting in the first five rows
Answers
The median age of the 120 people seated in the first five rows of the concert was 31.
What is value?Value is an important concept in economics and business. It is the worth of goods, services, or assets that is determined by the market or by an individual. It can be measured in terms of money, time, or effort. Value is also used to describe a person’s sense of worth or importance. Values can be seen as the principles, standards, or goals that guide an individual’s actions and decisions. Ultimately, value is subjective and is held by each person and can change over time.
The box and whisker plot provided by the sponsor shows the ages of the 120 people seated in the first five rows of the concert. The box and whisker plot shows a minimum value of 18, a maximum value of 45, a median of 31, a first quartile of 24, and a third quartile of 37. This indicates that 50% of the 120 people in the first five rows had an age of 31 or below, and 50% of the 120 people had an age of 37 or above. The median age of the 120 people seated in the first five rows of the concert was 31.
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which of the following statementsvmust bevtrue based on the diagram below
Answers
Given data:
The given triangles.
The GH is the segment bisector or G is the mid point of DE.
Thus, the options first and fifth are correct.
in 9,876,543,210,000 what is the place value of the digit 6
Answers
Answer:
In the billions.
Step-by-step explanation:
000 is hundreds
210 is thousands
543 is millions
876 is billions
9 is trillions
Answer:
in 9,876,543,210,000 the place value of the digit 6 is Billions.
58 POINTS PLEASE HELP ASAP
Question 3 (4 points)
(02.06)
The figure below shows parallel lines cut by a transversal:
A pair of parallel lines is shown, cut by a transversal. Angle 7 is located in the upper right exterior corner on the top line, and angle 8 is located in the upper left exterior corner of the top line.
Which statement is true about ∠7 and ∠8? (4 points)
Question 3 options:
1)
∠7 and ∠8 are supplementary because they are a pair of corresponding angles.
2)
∠7 and ∠8 are complementary because they are a pair of adjacent angles on a straight line.
3)
∠7 and ∠8 are congruent because they are a pair of adjacent angles on a straight line.
4)
∠7 and ∠8 are supplementary because they are a pair of adjacent angles that form a straight line.
Answers
Answer:
4)
Step-by-step explanation:
Answer:
It's 4
Step-by-step explanation:
PLS HELP ME
The function f(x) = -3(2)²+¹ +90 represents the number of tokens a child has x hours after arriving at an arcade.
What is the practical domain and range of the function?
Enter your answer by filling in the boxes to correctly complete the statements. If necessary, round to the nearest hundrea
The practical domain of the situation is x
Basic
The practical range of the situation is 90
A
O
Answers
Answer:
Practical domain: 0 ≤ x ≤ 3.907Practical Range: 0 ≤ y ≤ 84 where y is an integer, so we have the set {0,1,2,...,83,84}The 3.907 is approximate.
====================================
Explanation:
x = number of hours that elapse
y = f(x) = number of tokens
If we use a graphing tool like a TI84 or GeoGebra, then the approximate solution to -3(2)^(x+1) + 90 = 0 is roughly x = 3.907
At around 3.907 hours is when the number of tokens is y = 0. Therefore, this is the approximate upper limit for the domain. The lower limit is x = 0.
The domain spans from x = 0 to roughly x = 3.907, and we shorten that down to 0 ≤ x ≤ 3.907
------------
Plug in x = 0 to find y = 84. This is the largest value in the range.
The smallest value is y = 0.
The range spans from y = 0 to y = 84, so we get 0 ≤ y ≤ 84
Keep in mind y is the number of tokens. A fractional amount of tokens does not make sense, so we must have y be a whole number 1,2,3,...,83,84.
The x value can be fractional because 3.907 hours for instance is valid.
------------
Extra info:
The function is decreasing. It goes downhill when moving to the right.The points (0,84) and (1,78) and (2,66) and (3,42) are on this exponential curve.A point like (2,66) means x = 2 and y = 66. It indicates: "after 2 hours, they will have 66 tokens remaining".Using data from 50 workers, a researcher estimates Wage = β0 + β1Education + β2Experience + β3Age + ε, where Wage is the hourly wage rate and Education, Experience, and Age are the years of higher education, the years of experience, and the age of the worker, respectively. The regression results are shown in the following table.
Coefficients Standard Error t Stat p-Value
Intercept 7.45 3.79 1.97 0.0554
Education 1.06 0.37 2.86 0.0063
Experience 0.37 0.18 2.06 0.0455
Age −0.02 0.06 −0.33 0.7404
Interpret the point estimate for β1.
A. As Education increases by 1 year, Wage is predicted to increase by 1.06/hour.
B. As Education increases by 1 year, Wage is predicted to increase by 0.37/hour.
C. As Education increases by 1 year, Wage is predicted to increase by 1.06/hour, holding Age and Experience constant.
D. As Education increases by 1 year, Wage is predicted to increase by 0.37/hour, holding Age and Experience constant.
Answers
Solve the inequality 19
Answers
Answer:
nsnsuieieiwiwiweuejjeejeje
Luke is shipping another toy that has a volume of 34 cubic feet. The box he will use has a base of 15 square feet and a height of 3 feet. The rest of the box will be filled with packing material. B. What is the volume, in cubic feet, of the packing material Luke will need? Show or explain all your work.
Answers
The volume of the packing material that luke will need is: 11 cubic feet
How to find the volume of the box?The formula for the volume of a box is expressed as:
V = length * width * height
Now, we are given:
Area of base = 15 square feet
height = 3 feet
Thus:
Volume of box = 15 * 3 = 45 cubic feet
If he is going to ship a toy that is 34 cubic feet, then it means that:
Volume of packing material Luke needs = 45 - 34 = 11 cubic feet
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what is the perimeter
Answers
Answer:
2(5) + 2√(3^2 + 7^2) = 10 + 2√58 = 25.2
B is the correct answer.
Can not be bothered to write the question so ima just attach it
Answers
Use desmos graphing calculator, for visuals. It's easy to use as well.
A is 0 (zero)
(1x1 + 2x1 - 3)
B) D ( lies on 1 on our x-axis)
C) This tells you to draw a line at zero on the y-axis, a horizontal line BTW & read off the x values, where the line touches the pink graph/diagram.
y=x^2+2x-3 is the similar to x^2+2x-3=0 because the letter y now represents zero. So, that's why we draw the line y=0 (a horizontal line at zero). Then, use it to find the x values.
Thus, x = - 3 & x = 1
Hope this helps!
What is the GCF of 12, 30, and 18?
Answers
Answer:
6
Step-by-step explanation:
Answer: 6
The factors of 12 are: 1, 2, 3, 4, 6, 12
The factors of 18 are: 1, 2, 3, 6, 9, 18
The factors of 30 are: 1, 2, 3, 5, 6, 10, 15, 30
Then the greatest common factor is 6.
a. Can 243 passengers be assigned to 3 flights so that each flight has the same number of passengers?
Answers
Answer:
yes
Step-by-step explanation:
243 divided by 3 equals 81 since it is a whole number it would work
Answer:
Yes, 243 ÷ 3 = 81 so yes.
Step-by-step explanation:
Yes, 243 ÷ 3 = 81 so yes.
Estimate √40 to the nearest tenth. *
A. 6.9
B. 6.3
C. 7.1
D. 5.7
Answers
You can type root 40 into your calculator and will get 6.32455532. To round to the tenth is taking the first number after the decimal (3) and seeing of the number to the right of it (2) is less than 5 or greater than or equal to 5. 2 is less than 5 so 3 stays the same.
A volleyball drops 8 meters and bounces up 2 meters.
Use the expression |-8 + 2 to find the total distance
the volleyball travels. The total distance the volleyball travels is
✓meters.
Answers
The volleyball travelled a total distance of 10 meters
How to determine the total distance travelled by the volleyball?From the question, the given parameters are
Initial height = 8 meters
Height of bounce = 2 meters
The expression of the total distance is represented as
Total distance = |-8| + 2
Remove the absolute symbol
Total distance = 8 + 2
Evaluate the sum
Total distance = 10
Hence, the total distance travelled by the volleyball is 10 meters
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ASAP ITS TIMED
A student has a rectangular bedroom. If listed as ordered pairs, the corners of the bedroom are (14, 22), (14, −10), (−17, 22), and (−17, −10). What is the perimeter in feet?
31 feet
32 feet
63 feet
126 feet
Answers
The perimeter of the rectangular bedroom is 126 feet.
What is the perimeter of the rectangle?To find the perimeter of the rectangular bedroom, we need to add up the lengths of all four sides.
The distance between the points (14, 22) and (14, -10) is 22 - (-10) = 32 feet, since these two points lie on a vertical line.
The distance between the points (14, -10) and (-17, -10) is 14 - (-17) = 31 feet, since these two points lie on a horizontal line.
The distance between the points (-17, -10) and (-17, 22) is 22 - (-10) = 32 feet, since these two points lie on a vertical line.
The distance between the points (-17, 22) and (14, 22) is 14 - (-17) = 31 feet, since these two points lie on a horizontal line.
Therefore, the perimeter of the rectangular bedroom is;
P = 32 + 31 + 32 + 31
P = 126 feet.
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Write 7 times the sum of y and 1/3 as an algebraic expression
Answers
Answer:
7 x (y+1/3)
because you take the sum in a parentheses to follow PEDMAS and then multiply the sum by 7
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The algebraic expression of 7 times the sum of y and 1/3 is
7/3 (3y + 1).
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
7 times the sum of y and 1/3
This can be written as,
= 7 (y + 1/3)
=7 (3y + 1) / 3
= 7/3 (3y + 1)
Thus,
The algebraic expression of 7 times the sum of y and 1/3 is
7/3 (3y + 1).
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A square garden has a length of (x+3) ft and a width of (x+2) ft. what is the perimeter and area of the garden?
Answers
Answer:
Perimeter:\(4x+10\) feet
Area:\(x^{2}+5x+6\) feet
Step-by-step explanation:
The perimeter is equal to 2*width +2*length. The width is x+2 and the length is x+3, therefore the perimeter is equal to 2x+4+2x+6 which equals 4x+10.
The area is equal to width*length
(x+3)(x+2)=\(x^{2}+2x+3x+6=x^{2}+5x+6\)
How many tickets did Anna purchase for adult tickets And how many did Anna purchased for children’s tickets
Answers
children ticket:47
Adult ticket :13
Explanation
Step 1
set the equations
Let x represents the number of children's ticket
let y represent the number of adult tickets,
cost of a children ticket: $ 11
cost of a adult ticket: $ 17
so
a)she purchased 60 tickets, so
hence
\(x+y=60\Rightarrow equation(1)\)B)she spent a total fo $738, hence
\(11x+17y=738\Rightarrow equation(2)\)Step 2
Solve the equations
a) isolate the x value in equation (1) and replace in equation (2)
\(\begin{gathered} x+y=60\Rightarrow equation(1) \\ subtract\text{ y in both sides} \\ x+y-y=60-y \\ x=60-y \end{gathered}\)now,replace in equation(2)
\(\begin{gathered} 11x+17y=738\Rightarrow equation(2) \\ 11(60-y)+17y=738 \\ 660-11y+17y=738 \\ 6y+660=738 \\ \text{subtract 660 in boht sides} \\ 6y+660-660=738-660 \\ 6y=78 \\ \text{divide both sides by 6} \\ \frac{6y}{6}=\frac{78}{6} \\ y=13 \end{gathered}\)therefore,
the number of adult tickets is 13
b)now, replace the y value in equation (1) and solve for x
\(\begin{gathered} x+y=60\Rightarrow equation(1) \\ \text{replace} \\ x+13=60 \\ \text{subtract 13 in both sides} \\ x+13-13=60-13 \\ x=47 \end{gathered}\)therefore,
the number of children ticket 47
I hope this helps you
I need the answers for the table below.
Answers
The values of f(x) for the given x - values rounded to 4 decimal places are 0.0078, 0.0078, 0.0020, 0.0020, 0.0019 and 0.0013 respectively
Given the function :
tan(πx)/7xSubstitute the given value of x to obtain the corresponding f(x) values :
x = -0.6
f(x) = (tanπ(-0.6))/7(-0.6) = 0.0078358
x = -0.51
f(x) = (tanπ(-0.51))/7(-0.51) = 0.0078350
x = -0.501
f(x) = (tanπ(-0.501))/7(-0.501) = 0.001967
x = -0.5
f(x) = (tanπ(-0.5))/7(-0.5) = 0.001959
x = -0.4999
f(x) = (tanπ(-0.4999))/7(-0.4999) = 0.001958
x = 0.499
f(x) = (tanπ(-0.499))/7(-0.499) = 0.001951
x = -0.49
f(x) = (tanπ(-0.49))/7(-0.49) = 0.00188
x = -0.4
f(x) = (tanπ(-0.4))/7(-0.4) = 0.00125
Therefore, values which complete the table are 0.0078, 0.0078, 0.0020, 0.0020, 0.0019 and 0.0013
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20 experts can solve a complex mathematical question in 60 minutes. 20 dull people
can solve the same complex mathematical question in 180 minutes. If 10 experts and
10 dull people sit to solve the same question, how many hours will they take
Answers
Answer: 10*1/20*1+10*1/20*3
(hints..... 1 experts =1/20*60mins and 1 dull =1/20*180mins)