PLEASE HELP!
The gravitational force that Earth exerts on an object is inversely proportional to the square of the distance between the center of the Earth and the object. When Bill is on the surface of Earth, 4,000 miles from the center, the gravitational force is 600 Newtons. What is the gravitational force (in Newtons) that the Earth exerts on him when he's standing on the moon, 240,000 miles from the center of the earth? Express your answer as a fraction
1/6 is the gravitational force (in Newtons) that the Earth exerts on him when he's standing on the moon.
What is gravitational force?The gravitational force is a force that attracts any two gadgets with mass. We name the gravitational force attractive as it always tries to pull masses together, it in no way pushes them apart. In fact, every item, consisting of you, is pulling on every different item in the entire universe.
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square root of 5 rounded to the nearest tenth
maggie has only dimes and quarters in her purse. she has 27 coins with a total value of 4.05. how many dimes does maggie have in her purse
By solving a system of equations, we will see that Maggie has 18 dimes and 9 quarters.
How to write the system of equations?First, we define the variables that we will use:
D = number of dimes.Q = number of quarters.There are a total of 27 coins, so:
Q + D = 27.
The total value is 4.05, so:
Q*0.25 + D*0.10 = 4.05
Then our system of equations:
Q + D = 27
Q*0.25 + D*0.10 = 4.05
To solve this we need to isolate one of the variables in one of the equations, I will isolate Q in the first one.
Q = 27 - D
Now we can replace this on the other equation and solve it for D:
(27 - D)*0.25 + D*0.10 = 4.05
6.75 - D*0.25 + D*0.10 = 4.05
6.75 - D*0.15 = 4.05
6.75 - 4.05 = D*0.15
2.70 = D*0.15
2.70/0.15 = D = 18
So she has 18 dimes, and then the other 9 conis must be quarters.
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If y = 2x-3 find the value of y when x= 2
What is 8/11 as a decimal
The formula P =6s gives the formula for the perimeter of a regular hexagon with sides length s. What is the perimeter of a regular hexagon with side length 3.4 cm?
what is 645 divided by 5
A grocery store bought milk for $2.20 per half gallon and stored it in two refrigerators. During the night, one refrigerator malfunctioned and ruined 13half gallons. If the remaining milk is sold for $4.04per half gallon, how many half gallons did the store buy if they made a profit of $116.76?
Total of 92 half gallons of milk they bought.
How to form an equation?Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
In other words, an equation is a set of variables that are constrained through a situation or case.
Let's say they bought x half a gallon of milk.
Cost of buying ⇒
x × 2.20 = 2.2x
Since 13 half gallons were destroyed so
Remaining = x - 13
The selling price of remaining milk ⇒
(x - 13) × 4.04
Now,
Profit = selling price - cost of buying.
116.76 = (x - 13) × 4.04 - 2.2x
4.04x - 2.2x - 52.52 = 116.76
1.84 x = 169.28
x = 92
Hence "Total of 92 half gallons of milk they bought".
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Which algebraic expression is equivalent to the expression below?
40/6 what is the closest whole number?
Write the number 418,712,909 in word form
The number 418,712,909 is written in word form as 'four hundred eighteen million, seven hundred twelve thousand, nine hundred nine'. This educates students on place value and the decimal system, crucial elements in middle school mathematics.
Explanation:The number 418,712,909 in word form is written as four hundred eighteen million, seven hundred twelve thousand, nine hundred nine. Learning to convert numbers into words is an essential skill in mathematics, teaching students not only the names of large numbers but also helping to develop a deeper understanding of place value and the decimal system.
It's a fundamental part of mathematics education, especially in middle school, where students start engaging with more complex numerical concepts.
Professor Bartlett teaches a class of 12 students. She has a visually challenged student, Louise, who must sit in the front row next to her tutor, who is also a member of the class. Assume that the front row has seven chairs, and the tutor must be seated to the right of Louise. How many different ways can Professor Bartlett assign students to sit in the first row
Final answer:
Professor Bartlett can arrange the students in 1,440 different ways in the first row, considering Louise must sit next to her tutor on the right.
Explanation:
Professor Bartlett teaches a class of 12 students and needs to seat them in the front row which consists of 7 chairs. Specifically, Louise, who is visually challenged, must sit next to her tutor on the right side. To determine the number of different ways the students can be seated in the first row, we first consider the places of Louise and her tutor. Since Louise's tutor must be seated to her right, they can be viewed as a single entity with two internal arrangements: Louise on the left and the tutor on the right. Therefore, there are now effectively 6 entities to arrange (Louise and her tutor considered as one, plus the 5 other students) in 6 chairs in the front row.
The number of ways to arrange 6 entities in 6 spots is calculated by 6 factorial (6!), which equals 720. However, since Louise and her tutor can switch places within their designated spot, we must multiply this number by the 2 internal arrangements possible, resulting in 720 * 2 = 1,440 different seating arrangements for the first row.
Somebody Please Help, I'm Super Confused
Part A: If (7^2)^x = 1, what is the value of x? Explain your answer.
Part B: If (7^0)^x = 1, what are the possible values of x? Explain your answer.
Maria made a scale drawing of an elephant. The scale is 1 inch to 13 feet. What is the scrutiny length of the elephant? In the pic the elephant is 1.5 inches long.
Scale: 1 inch = 13 feet. 1.5 inches on the drawing. Actual length: 1.5 * 13 = 19.5 feet. Elephant length.
To find the actual length of the elephant, you need to use the scale provided by Maria's drawing. The scale states that 1 inch on the drawing represents 13 feet in reality. Since the elephant in the drawing is 1.5 inches long, we can calculate the actual length using the scale.
1. First, determine how many feet one inch on the drawing represents:
[tex]\( 1 \text{ inch on drawing} = 13 \text{ feet in reality} \)[/tex]
2. Multiply the number of inches in the drawing by the conversion factor to find the actual length:
[tex]\( 1.5 \text{ inches on drawing} \times 13 \text{ feet/inch} = 19.5 \text{ feet in reality} \)[/tex]
So, the actual length of the elephant is 19.5 feet.
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Last month, a coral reef 7000 grew millimeters taller. How much did it grow in meters?
Keisha is working on a math worksheet with 50 problems. She has completed 20 problems in 25 minutes. If she continues at the same pace, what will the total time be for her to complete the worksheet? A) 31.25 minutes B) 62.5 minutes C) 70 minutes D) 75 minutes Elim
We have that the total time be for her to complete the worksheet is mathematically given as
x=62.5minutes
Time
Question Parameters:
Keisha is working on a math worksheet with 50 problems.
She has completed 20 problems in 25 minutes.
Generally has completed 20 problems in 25 minutes.
20=25
50=x
Therefore
[tex]x=\frac{5-*25}{20}[/tex]
x=62.5minutes
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5,687.3 mi to the nearest mile
Can someone please help me?
The quotient of a number m and 3.2 is 15
Which of the following has a value between 10/3 and 11/3
Amanda has a car loan for 12,000 She is paying 3% interest for 6 years. How much will she pay in interest for the 6 years
25 POINTS HELP NOW
Twenty is 10% of what number?
Enter your answer in the box
divide 20 by 10%
10% = 0.10
20 / 0.10 = 200
20 is 10% of 200
Which graph represents the function f(x) = -|x+3|?
Answer:
Step-by-step explanation:
its the first one.
Helen has a $1.35 in her bank in nickels and dimes the number of nickels is 9 more than the number of Dimes how many of each coin does she have
Factor the linear expression 15x + 6
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If angle PDQ equals 23 degrees and angle SDQ equals 11 degrees what is angle PDS?
7y-23 plus 23x-16 plus 8x-21 show steps find x and Y
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