Answer:
[tex]M_{1}[/tex] = [tex]\frac{F_{g}r^{2} }{GM_{2} }[/tex]
Step-by-step explanation:
From Newton's law of universal gravitation, the force of attraction between two objects of masses [tex]M_{1}[/tex] and [tex]M_{2}[/tex] is given as:
[tex]F_{g}[/tex] = [tex]\frac{GM_{1} M_{2} }{r^{2} }[/tex]
Thus, cross multiply to have;
[tex]F_{g}[/tex][tex]r^{2}[/tex] = G[tex]M_{1}[/tex][tex]M_{2}[/tex]
then divide through by G[tex]M_{2}[/tex] to have,
[tex]M_{1}[/tex] = [tex]\frac{F_{g}r^{2} }{GM_{2} }[/tex]
Therefore, [tex]M_{1}[/tex] can be expressed in terms of [tex]F_{g}[/tex], [tex]r^{2}[/tex], G, [tex]M_{2}[/tex] as [tex]\frac{F_{g}r^{2} }{GM_{2} }[/tex]
6. A bag contains 240 counters.
Huan removes 15% of the counters.
Esther removes 54 counters.
What is the percentage change in the number of
counters in the bag?
Answer:
48
Step-by-step explanation:
A keypad has only the letters A-D what's is the total number of possible outcomes if the code has 3 letters
Answer:
The total number of possible outcomes if the code has 3 letters is 64
Step-by-step explanation:
The keypad has only the letters A-D, that is, A,B,C,D.
To calculate the total number of possible outcomes if the code has 3 letters,
let these spaces represent the code _ _ _
For the first space, there are 4 possibilities (since we have 4 letters)
For the second space, we also have 4 possibilities (since there is no restriction on repetition)
Also, we have 4 possibilities for the last space.
Hence, the total number of possible outcomes if the code has 3 letters is 4×4×4 = 4³ = 64.
There are 64 total possible outcomes if the code has 3 letters
The number of letters is given as:
n = 4
The code makes use of three letters.
This means that:
The first letter can be any of the 4 lettersThe second letter can be any of the 4 lettersThe third letter can be any of the 4 lettersSo, the number of possible outcomes is:
Outcomes = 4 * 4 * 4
Evaluate the product
Outcomes = 64
Hence, there are 64 total possible outcomes if the code has 3 letters
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12 ? -15 = 27
24 ? 3/4 = 18
Answer:
- & ×
Step-by-step explanation:
If we were to put 12 - (-15), the two - would convert to a single +. Thus, the answer should be 12 + 15 which is 27.
If we were to put 24 × [tex]\frac{3}{4}[/tex], we would have to multiply 24 by 3 and divide the answer by 4, which is 18.
John bought a ring for his friend for $3200. He expects it to appreciate 3.5% each year. How much will the ring be worth in 4 years?
Answer:
FV= $3,672.07
Step-by-step explanation:
Giving the following information:
Present Value (PV)= $3,200
Number of periods (n)= 4 years
Appreciation rate= 3.5% = 0.035
To calculate the price of the ring in four years, we need to use the following formula:
FV= PV*(1 + i)^n
FV= 3,200*(1.035^4)
FV= $3,672.07
1) If x= 4.2 and y = 5, what is the value of the expression
below? *
13 points
х+бу
69.2
15.2
72
34.2.
Un
Answer:
Step-by-step explanation:
y-x=0.7
y=x+0.7, so lets plug in that into the expressions instead of y
1)
(y-x)=
x+0.7-x=
x+0.7+(-x)=
x+(-x)+0.7=
x-x+0.7=
0.7
2)
(x-(x+0.7))/((x+0.7)-x)=
(x-x+0.7)/(x+0.7-x)=
(x-x+0.7)/(x+0.7+(-x))=
(x-x+0.7)/(x+0.7+(-x))=
(x-x+0.7)/(x+(-x)+0.7)=
(x-x+0.7)/(x-x+0.7)=
0.7/0.7=
1
Hiiiioo can someone please help me with this!❤️❤️:)
Answer:
7.4 in
Step-by-step explanation:
The diagonal divides the rectangle into 2 right triangles.
The diagonal is the hypotenuse and the length l is a leg ( adjacent) to angle
Using the cosine ratio in the right triangle
cos22° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{l}{8}[/tex] ( multiply both sides by 8 )
8 × cos22° = l , then l ≈ 7.4 in ( to the nearest tenth )
The record high temperature in January was 18 degrees. The record low temperature was –7 degrees. What is the amount of change between the high and low temperatures
Answer: [tex]25^{\circ}[/tex]
Step-by-step explanation:
Given
The highest temperature recorded is [tex]18^{\circ}[/tex]
The lowest temperature recorded is [tex]-7^{\circ}[/tex]
The amount of change between the high and the low temperatures is
[tex]\Rightarrow 18-(-7)=18+7\\\Rightarrow 25^{\circ}[/tex]
David correctly graphed an inequality as shown below. -10-9-8-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 The inequality David graphed was written in the form 7 S 2 What is an expression that could be put in place of the question mark so that the inequality would have the same solution set as shown in the graph?
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
Find the speed of 100 kilometres and 2 hours
(COMPLETE SOLUTION)
Answer:
50 km per hour
Step-by-step explanation:
distance = 100km
time= 2hrs
average speed 100/2
50 km per hour
PLZ GIVE THE CORRECT ANSWER I CANNOT FIGURE IT OUT
Answer:
It 148.22
Step-by-step explanation:
Trust me boi and good luck!
Help ASAP pleaseee lol
I’ve attached my table of what I’ve done
How many real fifth roots does -0.00243 have?
Answer:
I get 3 so i don't know
Step-by-step explanation:
Sixty percent of the water from the full bottle holding 1.5 L was used to fill 5 similar cups leaving no remainder. How much water does 1 cup hold ?
Answer:
0.9 of a Liter for the bottle's volume
0.18 L for each cut
180 mL for each cup.
Step-by-step explanation:
60/100 * 1.5 = 0.6 * 1.5 = 0.90
There were 5 cups
The volume of the bottle was 0.9 liters
1 cup held 0.9 / 5 = 0.18 L
1 Liter = 1000 mL
0.18 L = 1000 *0.18 = 180 mL
Please help this is geometry external angle theorem!! Will give BRAINLIST
hello, can you please walk me through this problem
Answer:
x = 6, z=88
Step-by-step explanation:
The angle 92 and z lies on a straight line.
Therefore,
[tex]z + 92 = 180 \\ z = 180 - 92 = 88[/tex]
Same goes for Angle Z and 5x+62.
[tex]z + 5x + 62 = 180 \\ 88 + 5x + 62 = 180 \\ 150 + 5x = 180 \\ 5x = 180 - 150 = 30 \\ x = 30 \div 5 = 6[/tex]
Henrietta decides to learn 768 new magic spells before her final exam. She plans to learn the same number each day. In the first five days. she learns exatly the number of spells she planned to learn. In the remaining days before her exam, Henrietta learns 6 more magic spells each day than planned. When she still had 1 day left before the exam, Henrietta calculated that she learned 844 new magic spells. How many spells did Herietta plan to learn each day.
Answer:
I’m so sorry, I just had help on this problem earlier, I forgot how to do it, but the answer is 32
Step-by-step explanation:
i need help on this one its hard for me :(
Answer:
6
Step-by-step explanation:
diameter is double the length of the radius.
d= 2r
d=2(3)
d=6
Answer:
The answer for it is B. 6.
Find the value of the variable. Round your answer to the nearest tenth.
20
x
62°
Answer: 20 x 62 = 1240. X = 1240
Step-by-step explanation: that is the answer al i did was solv ittt
Math problem A homeowner has two rectangular structures in her backyard. The dimensions of the hot tub are 6 feet by 8 feet. The dimensions of the fire pit are 7 feet by 9 feet. The length of the square backyard is 20 feet. What area of the yard is not covered by the hot tub and fire pit?
Answer:
289feet²
Step-by-step explanation:
Area of a rectangle = length x breadth
area of a square = length²
area of the yard that is not covered by the hot tub and fire pit =
Area of the yard - (area of the hot tub + area of the fire pit)
Area of the yard = 20 feet² = 400 feet²
area of the hot tub = 6 feet² x 8 feet² = 48 feet²
area of the fire pit = 7 feet² x 9 feet² = 63 feet²
400 - (48 + 63) = 289 feet²
Derek decorates more cookies. He plots the point (5,10) on the coordinate plane. what is the meaning of point (5, 10)?
A. Derek decorates 5 cookies every 10 mins
B. Derek decorates 10 cookies every 5 mins
(Note that he decorates 2 cookies every minute.)
Answer needed ASAP
Answer:
A. don't know if this helps but with plotting but (x, y) the x always comes first
Answer:
A
Step-by-step explanation:
A. Derek decorates 5 cookies every 10 mins
The area of a rectangular pool is (x + 17x + 72) square meters. The dimensions of the pool are the factors of this polynomial. There is a 3-meter-wide concrete walkway around the pool. Write expressions to represent the dimensions of the outside border of the walkway. (Lesson 21.1)
Answer:
The walkway around the pool makes the entire outer dimensions (outer border)
x+9+2x3=x+15 and x+8+2x3
hope this helps! could i get brainliest plz?
The expressions to represent the dimensions of the outside border of the walkway is (x + 12) meters for the length and (x + 11) meters for the width.
Given area : [tex]x^2 + 17x + 72[/tex]
The factored form of the polynomial is:
[tex]x^2 + 17x + 72[/tex] = [tex]x^2 + 8x+9x+72[/tex]
= x(x+8)+9(x + 8)
=(x + 9)(x + 8)
So, the dimensions of the pool are (x + 9) meters and (x + 8) meters.
The length of the walkway = 3 meters wide
So, the length is added to each side of the pool.
Dimensions of the outside border of the walkway:
Length: (x + 9) + 3 = x + 12 meters
Width: (x + 8) + 3 = x + 11 meters
Therefore, the dimensions of the outside border of the walkway are
(x + 12) meters for the length and (x + 11) meters for the width.
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How many different size triangles can be drawn with angle measures 90° , 45° , and 45°?
No trinalges
Exactly one triangle
Exactly two triangles
Any number of triangles
Answer:
the answer is the third one
f(x) = (x + 1)
What is the domain of f?
Choose 1 answer:
Α.
All real values of x such that x = -1
B
All real values of x such that x>-1
С
All real values of x such that x = 0
Mike is playing a card game with his little sister.There are 20 cards,numbered from 1 to 20.What is the probability that he will draw a number divisible by 4?
Answer:
1/5
because between 1and 20 there are 5 numbers which divided to 4 so mike have a probability to get one of 5
Answer:
1/5
Step-by-step explanation:
if there is 20 cards in the deck and they are all numbers 20/5 u would get 1 so the probability is 1 out of 5
Find the value of x picture attached
Answer:
x = 10
Step-by-step explanation:
These angles are same side interior angles.
This means that (11x + 10) + (10x - 40) = 180
Solve for x:
11x + 10 + 10x - 40 = 180
21x - 30 = 180
+30 +30
21x = 210
/21 /21
x = 10
Make a histogram from this frequency table. 8- 10-12 12-14 14-16 NBA Shoe Sizes Frequency 10 3 5 10 8
The recycling center collected 48,000 ounces of
aluminum cans last week. How many tons of
aluminum did the recycling center collect?
Answer: 1.5 tons
Step-by-step explanation:
Given
The recycling center collected 48,000 ounces of aluminum can
An ounce is the unit of weight and it can be expressed in tons as
[tex]1\ \text{ounce}=3.125\times 10^{-5}\ \text{tons}[/tex]
[tex]\therefore 48,000\ \text{ounces} \equiv\ 3.125\times 10^{-5}\times 48,000=1.5\ \text{tons}[/tex]
How do you know which number in an exponential function controls how much it is stretched or compressed?
Vertex:
(
2
,
0
)
, Passes through:
(
5
,
−
18
)
Answer:
2>0 5>-18
Step-by-step explanation:
Which expressions are equivalent to 4(x + 1) + 7(x + 3)? Select all that apply.
A 4x + 4 + 7x + 21
B 4x + 1 + 7x +3
C 11x + 25
D 2x+ 25
E11x + 4
F X+4 + x + 21
Answer:
C
Step-by-step explanation:
4(x + 1) + 7(x + 3) = 11x+25