Calculate the force between two touching grapefruits each with a radius of 0.08 meters and a mass of 0.45 kg
Answers
The force between two touching grapefruits each with a radius of 0.08 meters and a mass of 0.45 kg is 5.27 * 10⁻¹⁰ N
Newton's law of gravitation is given by:
F = Gm₁m₂/r²
Where F is the force, m₁, m₂ are masses, r is the distance between the two masses and G is the gravitational constant = 6.67 * 10⁻¹¹ Nm²/kg²
Given that m₁ = m₂ = 0.45 kg, r = 0.08 + 0.08 = 0.16 m, hence:
F = 6.67 * 10⁻¹¹ Nm²/kg² * 0.45 kg * 0.45 kg / 0.16²
F = 5.27 * 10⁻¹⁰ N
The force between two touching grapefruits each with a radius of 0.08 meters and a mass of 0.45 kg is 5.27 * 10⁻¹⁰ N
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Related Questions
1. Evaluate the expression 4a - 3b + c; if a = -2, b = 4 and c = -5.
A. -25
B. -15
C. 1
D. 25
Answers
Answer:
A
Step-by-step explanation:
plug in all variable values
4(-2) - 3(4) + (-5)
negative × positive = negative
positive × negative = negative
-8 - 12 - 5
-20 - 5
-25
On Saturday, 32,736 more movie tickets were sold than on
Sunday. On Sunday, only 17,295 tickets were sold.
How many people bought movie tickets over the weekend?
Answers
I need help, please I have until 9 p.m. to finish it number 3 homework
Answers
Answer: 1/3
Step-by-step explanation:
When adding or subtracting fractions, they must have the same denominator.
[tex]\dfrac{5}{9}-\boxed{\dfrac{?}{?}}=\dfrac{12}{54}\\\\\\\dfrac{5}{9}\bigg(\dfrac{6}{6}\bigg)-\boxed{\dfrac{?}{?}}=\dfrac{12}{54}\\\\\\\dfrac{30}{54}-\boxed{\dfrac{?}{?}}=\dfrac{12}{54}\\\\\\\dfrac{30}{54}-\boxed{\dfrac{18}{54}}=\dfrac{12}{54}\\\\\\\text{Simplify}\quad \dfrac{18}{54}\div \dfrac{18}{18}\quad =\large\boxed{\dfrac{1}{3}}[/tex]
which of the following are valid for the triangle below? check all that apply A.) TAY B.)AXM C.) MAY D.) XMA E.) XMT F.) MAX
Answers
Answer:
B) XMA; C) MAX; and D) AXM
Step-by-step explanation:
A triangle is named based on its vertices. The vertices of this angle are A, M and X; this means any combination of these three letters can be used to name the triangle.
plz plz plz, help me :(
Answers
Answer:
b = 3 in
Step-by-step explanation:
The area (A) of a rectangle is
A = lb ( l is the length and b the breadth )
Here A = 24, l = 4 and breadth = b + 3 , thus
4(b + 3) = 24 ( divide both sides by 4 )
b + 3 = 6 ( subtract 3 from both sides )
b = 3
Thus the width of the message is 3 in
QUESTION 9 of 10: You are considering leasing a store site that has 1,800 square feet. The landlord is asking for rent of $55 per square foot per year. How much is the rent per month?
a) $8,000
b) $8,250
c) $8,500
d) $8,750
Answers
explanation: since you have a total of 1800 sq ft and it’s $55 dollars per sq ft for the yr, you would start by finding how much it would cost for a year by taking $55 x 1800 sq ft= $99,000 then since you are trying to find the rent for a month you would take the yr value ($99,000) and divide it by 12 since there are 12 months in a yr
99,000/12 = $8,250
Answer: $8,250
Step-by-step explanation:
just did the quiz
In Python, equations are not evaluated by following the standard order of operations when performing calculations. true or false?
Answers
Answer:
false
Step-by-step explanation:
Answer:
[tex]false.[/tex]
Step-by-step explanation:
[tex]python \: programming \: language \: is \: powerful \\ \: scientific \: coding \: language \: for \: both \\ \:high \: level \: programs \: and \: also \: for \: learners\\ its \: very \: fast \: in \: scientific \: and \: mathematical \: calculation. \\ \: for \: me \: i \: think \: python..... if \: not \: the \: best....is \: very \: easy \: to \: learn \\ [/tex]
Find the slop of this linear equation y=3x -4
Answers
Answer:
3
Step-by-step explanation:
The equation [ y = 3x - 4 ] is written in slope-intercept form [ y = mx + b ].
m = slope
b = y-intercept
The variable "m" in the given equation is 3, thus makes it the slope.
Best of Luck!
Johnny's electric bill is a variable expense. What is the average amount he pays for electricity If he paid $235 in December, $119 in January, $109 in February, $1 22 in March and $135 in April?
Answers
144 (Answer)
Hope this helps
HELP DUE TODAY! Determine if the problem is done correctly AND explain your reasoning. If the problem is correct then explain the steps that were taken. If the problem is incorrect then explain what the mistake made was and what the correct solution should be.
Multiply the polynomials using the distribution method: (2x – 3)(4x + 8)
Answers
Line 2 is correct because of the distribution rule. You multiply each outer term by the inner terms in the parenthesis.
2x(4x+8) = 2x*4x + 2x*8 = 8x^2+16x
-3*(4x+8) = -3*4x-3*8 = -12x-24
---------------------------------------------------------------------------------------------
Line 3 is correct as well. The 16x and -12x combine to 4x. You can think of it like 16-12 = 4, then just tack x's onto everything getting 16x-12x = 4x
Or you can think of it like "16 boxes - 12 boxes = 4 boxes" and you replace "boxes" with "x" for shorthand.
The other terms aren't like terms so we just leave them as is.
HELP!!!!!!
Which of the following is a true statement?
4/5 x 4/5=1
3/10 ÷ 7/9=3/10 x 9/7
9/12 x 12/9= 0
1/2 ÷1/2= 1/4
Answers
Answer:
3/10 ÷ 7/9=3/10 x 9/7 is the true one
Step-by-step explanation:
4/5 x 4/5 = 16/25 not 1 so this statement is wrong.
3/10 ÷ 7/9=3/10 x 9/7, this is the true statement and it equals 27/70
9/12 x 12/9= 1 not 0
1/2 ÷1/2= 1 not 1/4
to the nearest tenth of a unit, what is the distance on a coordinate plane between the points (-6, -9) and (5, 7)? Answer needs to be in units
Answers
Answer: 20 units
Step-by-step explanation:
Answer:
20 units
distance formula is (x-x2)^2 + (y-y2)^2 all under a square root.
it costs $24,893.75 to repay a loan of 17,500 at 6.5% annual interest. How many years does it take to repay the loan? I saw somebody asked this question, but the answer wasn't specific.
Answers
Answer:
11.5 years
Step-by-step explanation:
The formula for the monthly payment of a loan is:
[tex] A = P\dfrac{r(1 + r)^n}{(1 + r)^n - 1} [/tex]
where
A = monthly payment
r = interest rate per period
n = number of periods
Assuming a monthly payment, we have
P = 17500
r = 0.065/12
The total amount of payments is the monthly payment times the number of payments, so
An = 24893.75
We can try 10 years. n = 10 * 12 = 120
[tex] A = 17500\dfrac{\frac{0.065}{12}(1 + \frac{0.065}{12})^{120}}{(1 + \frac{0.065}{12})^{120} - 1} = 198.71 [/tex]
An = 198.71 * 120 = 23845.08
The total amount of payments is too low.
Let's try 11 years.
n = 11 * 12 = 132
[tex] A = 17500\dfrac{\frac{0.065}{12}(1 + \frac{0.065}{12})^{132}}{(1 + \frac{0.065}{12})^{132} - 1} = 185.92 [/tex]
An = 185.92 * 132 = 24540.90
The total amount of payments is still too low.
Let's try 12 years.
n = 12 * 12 = 144
[tex] A = 17500\dfrac{\frac{0.065}{12}(1 + \frac{0.065}{12})^{144}}{(1 + \frac{0.065}{12})^{144} - 1} = 175.34 [/tex]
An = 185.92 * 144 = 25248.41
The total amount of payments is too high.
11 years is too little, and 12 years is too much.
Let's try 11.5 years.
n = 11.5 * 12 = 138
[tex] A = 17500\dfrac{\frac{0.065}{12}(1 + \frac{0.065}{12})^{138}}{(1 + \frac{0.065}{12})^{138} - 1} = 180.39 [/tex]
An = 180.39 * 138 = 24893.20
11.5 gives a total of payments of $24,893.20 which is very close to $23.893.75.
Answer: 11.5 years
The total amount of payments is too high.
When multiplying or dividing both sides of an inequality by a negative number, you need to remember to "flip" the inequality sign.
True or False
Answers
That is a true statement
Step-by-step explanation:
true................
Write an equivalent expression for (2m+3)(m-1).
Answers
You can also use the foil method.
PLEASE HELP!!!!!!!!!!!!! Solve for the following question. SHOW ALL STEPS! 8x-6/2=x+12
Answers
Answer: 15/7
Step-by-step explanation: Simplify 6/2 to 3
8x-3=x+12
Add 3 to both sides
8x=x+15
Subtract x from both sides
7x=15
Divide both sides by 7
x=15/7
Answer:
x = 2.14
Step-by-step explanation:
8x - 3 = x + 12 (6/2 = 3)
7x - 3 = 12 (subtracted 1x from both sides)
7x = 15 (added 3 to both sides)
x = 2.14 (divided 15 by 7)
Hope this helps :)
which of these go with each other?
Answers
side BC to BC
side CD to CD
side DA to DA
an ant has fallen into a bottle 60cm deep and is climbing up 8 cm everyday. As it is exhausted, the ant is slipping down 4cm every night. Then how long would it take teh ant to escape from the bottle
Answers
Answer:
It took 13 days and a half to escape
Step-by-step explanation:
This is a classic problem where the first answer that comes to one's mind is not the correct answer.
The ant climbs up 8 cm per day and slips down 4 cm every night. It means the real distance the ant goes up is 8 - 4 = 4 cm per day. Since the total distance is 60 cm, it could lead us to think the time needed to escape from the bottle is 60/4=15 days. This is wrong, as we'll prove below.
Assume the last day, the ant climbs up the final 8 cm and escapes. We don't know yet when, but we can assure that day the ant was at a height of 60 - 8 = 52 cm.
That 52 cm was the result of the 4 cm per day the ant effectively went up, thus it needed 52/4=13 days to reach that height.
At 13 days, the ant was at 52 cm, the day 14 it climbed up the final 8 cm and escaped.
Answer: It took 13 days and a half to escape
A Vitamin C tablet contains 1/40 of a gram of Vitamin C. You take 1 1/2 tablets every day. How many grams of vitamin C do do you take every day?
Answers
Answer:
0.0375 gram of Vitamin C
Step-by-step explanation:
Hi there !
1 1/2 tablets = (1*2 + 1)/2 = 3/2 tablets every day
How many grams of vitamin C do do you take every day?
1/40 × 3/2 = 3/80 = 0.0375 gram of Vitamin C
Good luck !
Which pair of circles have equivalent areas shaded?
Answers
Answer:
A
Step-by-step explanation:
They both have 2 areas shaded, have the same amount of parts and are the same size
The number of days each licensed driver in Marion County uses a commuter rail line annually is normally distributed with mean 66 and standard deviation 21. How many days must a driver use a commuter rail line annually to be in the top 5% of rail users? Round to the nearest integer.
Answers
Answer:
31.5 days
Step-by-step explanation:
We.solve using z score formula
z-score is is z = (x-μ)/σ,
where x is the raw score
μ is the population mean
σ is the population standard deviation.
The 5th percentile z score = -1.645
Mean = 66
Standard deviation = 21
Hence:
-1.645 = x - 66/21
-1.645 × 21 = x - 66
-34.545 = x - 66
-34.545 + 66 = x
x = 31.455 days
Approximately to the nearest round integer
= 31.5 days
Therefore, driver use a commuter rail line 31.5 days annually to be in the top 5% of rail users
A complex number z_1z 1 z, start subscript, 1, end subscript has a magnitude |z_1|=6∣z 1 ∣=6vertical bar, z, start subscript, 1, end subscript, vertical bar, equals, 6 and an angle \theta_1=70^{\circ}θ 1 =70 ∘ theta, start subscript, 1, end subscript, equals, 70, degrees. Express z_1z 1 z, start subscript, 1, end subscript in rectangular form, as z_1=a+biz 1 =a+biz, start subscript, 1, end subscript, equals, a, plus, b, i. Round aaa and bbb to the nearest thousandth.
Answers
Answer:
Step-by-step explanation:
Given the modulus of a complex number |z1| = 6 and its argument θ1 = 70°
If z1 = a+bi, according to definition;
|z1| = √a²+b²
|z1|² = a²+b²
Since |z1| = 6, |z1|² = 6² = 36
a²+b² = 36 .......... 1
Also the argument is derived from the expression
tan θ = b/a
tan 70 = b/a
b/a = 2.75
b = 2.75a ........ 2
Substitute equation 2 into 1
a²+b² = 36
a²+(2.75a)² = 36
a²+7.5625a² = 36
8.5625a² = 36
a² = 36/8.5625
a² = 4.204379
a = √4.204379
a = 2.051 (to nearest thousandth)
Since b = b = 2.75a
b = 2.75(2.051)
b = 5.639 (to nearest thousandth)
z1 = 2.051+5.639i
Answer: [tex]-5\sqrt{3}-5i[/tex]
Step-by-step explanation: It was right on Khan
Find the 60th term of the arithmetic sequence -27, -24, -21, ...
Answers
(....................)
Does anyone know the right answer to this ?
Answers
Answer:
false, true, true
Step-by-step explanation:
hope this is gonna help u :D
Answer:
false true, true
Step-by-step explanation:
so 1 is false 2 is true 3 is true
i think
After paying 6 dollars for the pie, Melanie has 99 dollars left. How much money did she have before buying the pie ?
Answers
Answer:
105
Step-by-step explanation:
Answer:
$105
Step-by-step explanation:
x-6=99
x=105
The water level in a lake decreased by 2 1/4 inches in march and increased by 1 5/8 inches in april. Determine wether the water level increased or decreased and by how much 1. Increased by 3/8 2. Increased by 5/8 3. Increased by 5/8 4. Decreased by 5/8
Answers
Change in level is given by :
C = increase in level - decrease in level.
Now,
Decrease in level in March is 2 1/4 = 9/4 inches.
Increase in level in April is 1 5/8 = 13/8 inches.
Putting value of these in above equation, we get :
C = 13/8 - 9/4
C = 13/8 - 18/8
C = -5/8 inches
Therefore, the overall level after April will decrease by 5/8 inches.
Hence, option 4. is correct.
Slope = -1; y-intercept = 7
Written in slope intercept form
Answers
Answer:
Find the Equation of a Line Given That You Know Its Slope and Y-Intercept. The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept. If you know the slope (m) any y-intercept (b) of a line, this page will show you how to find the equation of the line.
Step-by-step explanation:
9514 1404 393
Answer:
y = -x +7
Step-by-step explanation:
The slope-intercept form of the equation for a line is ...
y = mx +b
where m is the slope and b is the y-intercept.
Put the given values in the corresponding places:
y = (-1)x +7
y = -x +7
What is itttttttttttt
Answers
Answer:the second one
Step-by-step explanation:
just trust me i can't explain it on a pc
I need help please
ew=p ,solve for e
Answers
Answer:
e=p/w
Step-by-step explanation:
Take w and move it to the left by dividing both sides by w to get the answer
Find the area and perimeter of a rectangle if
the length is 25 and the width is 8.
Answers
Answer:
area is 200 perimeter is 66
Step-by-step explanation: