a) Work out the value of G
give your answer in standard form correct to 3 significant figures
b) Work out the new value of G
give your answer in standard form correct to 3 significant figures
Answers
Answer:
a. G = 4590.0
b. G = 4550.0
Step-by-step explanation:
Given that: G = [tex]\sqrt{\frac{m}{t^{2} } }[/tex]
a. m = 6.1 x [tex]10^{-5}[/tex] and t = 1.7 x [tex]10^{-6}[/tex]
Thus,
G = [tex]\sqrt{\frac{6.1*10^{-5} }{(1.7*10^{-6}) ^{2} } }[/tex]
= [tex]\sqrt{\frac{6.1*10^{-5}}{2.89*10^{-12} } }[/tex]
= [tex]\sqrt{21107266.44}[/tex]
G = 4594.26452
G = 4590.0
b. m = 6.1 x [tex]10^{-5}[/tex] + ( 6.1 x [tex]10^{-5}[/tex] x 0.08)
= 6.588 x [tex]10^{-5}[/tex]
t = 1.7 x [tex]10^{-6}[/tex] + (1.7 x [tex]10^{-6}[/tex] x 0.05)
= 1.785 x [tex]10^{-6}[/tex]
So that,
G = [tex]\sqrt{\frac{6.588*10^{-5} }{(1.785*10^{-6}) ^{2} } }[/tex]
= [tex]\sqrt{\frac{6.588*10^{-5} }{3.186*10^{-12} } }[/tex]
= [tex]\sqrt{20676505.9}[/tex]
G = 4547.1426
G = 4550.0
Related Questions
what is the mesuement for y
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Answer:
60 degrees
Step-by-step explanation:
add all together
make an equation of the sum= 180
this would mean 9r-9=180
solve
9r-9=180
9r=189
r=21
plug 21 in for r on the angle Y
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3(21)-3
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find the scale factor
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Answer:
2 is ur answer.
hope it helps you.
What is the equation of the line passing through points (1,1) and (3,-5)
Answers
Answer:
m=-3
Step-by-step explanation:
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Answer:
25 pages.
Step-by-step explanation:
all the other answers seem to be less than 200. 20(10) is 200, but it says more than 200 pages. so that means the only correct answer is 25 pages per day. 25(10) is 250 pages, exceeding 200.
help please, solve for x
Answers
Answer:
x=18
Step-by-step explanation:
The angles here are alternate interior angles, this means that they are congruent. Congruent means that they are equal to each other, so to solve just set them equal! (Your variable is x so you're solving for that)
[tex]4x=72[/tex]
Divide both sides by 4:
[tex]x=18[/tex]
Hope this helps! :)
Please help i am very confused
Answers
Answer:
[tex]\sqrt{80}[/tex]
80 is the number in the square root
Step-by-step explanation:
[tex]d = \sqrt{(x_{2}-x_{1} )^{2} +(y_{2}-y_{1} )^{2} } \\d = \sqrt{(4-(-4) )^{2} +(5- 1 )^{2} }\\d = \sqrt{(4+4 )^{2} +4^{2}\\d = \sqrt{8^{2} +4^{2} }\\d=\sqrt{64 +16}\\d=\sqrt{80}[/tex]
PLEASE HELP
The Linear function m=45-8b represents The amount m (in dollars) money that you have after buying b books. select all the values that are in the domain of function.
Answers
Answer:
b = {0, 1, 2, 3, 4, 5}
Step-by-step explanation:
The domain of a function is simply all the possible values the independent variable can assume that the function will work and will give a real number.
In this question, we have:
m = 45 – 8b
b is the independent variable because the money, m, depends on the number of books, b, bought.
Since we can't have negative value for m as it represents an amount of money, then the values b can assume can be gotten through:
45 – 8b = 0,
8b = 45
b = 45/8 = 5.625
For the m, money, to remain positive b shouldn't go beyond 5.625
Also we should note that b, books, can't be a negative (no such thing as negative books) or a fractional value (no such thing as buying parts of a book) as well. Therefore, b = {0, 1, 2, 3, 4, 5}
evaluate the expression 2x+6 if x = 4
Answers
8+6
=14
you’re welcome :)
mrs moore is doing laundry and has various pieces of clothing in her laundry basket. what is the probability of selecting a top rather than a bottom ( 3 pants and 1 top)
Answers
The marked price of an article is Rs 2,800 which is 40 % above the cost price. If it
is sold by allowing 20 % discount, what will be the profit percent?
Answers
Answer:
mp=2800
mp=cp+40%ofcp=cp+40/100×cp=1.4cp
2800=1.4çp
cp=2800/1.4=2000
discount=20%
profit%=?
Step-by-step explanation:
sp=mp-discount%of mp=2800-20/100×2800=2240
profit=sp-cp=2240-2000=240
profit%=profit/cp×100%=240/2000×100%=12%
John bought 4 pants that each cost the same amount and a pair of sneakers that cost $65. The items he bought cost a total of $145 before tax was added. Which equation represents the cost of each pants, p.
Answers
Answer:p=$20
Step-by-step explanation:
145-65=80
80/4=20
so each pant costs $20
p=$20
Write an inequality to represent each sentence.
1. A number cis at least 12.
Answers
Answer:
n ≤ 12
Step-by-step explanation:
The variable n represents a number. Since you see the phrase “at least” that means that it could be less than, or equal to that number. Therefore, the inequality to represent this sentence is n ≤ 12.
I hope this helps you :D
What is the value of s? Please show work
Answers
Answer:
S = 15
That the answer :) .
Answer:
s=90°
Step-by-step explanation:
a triangle always gives 180°, so 180°-(47°+43°)= 180°-90=90°
s=90°
hope this helps
A line graph titled Car Mileage for a Hybrid Car has number of gallons on the x-axis, and number of miles on the y-axis. 1 Gallon is 60 miles, 2 gallons is 120 miles, 3 gallons is 180 miles, and 4 gallons is 240 miles.
What is the value of y when the value of x is 1?
Free 50 pts its [60]
Answers
Answer:
60
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given f(x) = 2x2 - 4, what is f(3)
Answers
Answer:
x=3f/2+1 sorry if thats not right because i don't know if it's a positive or negative there
Step-by-step explanation:
Answer:
14
Step-by-step explanation:
just plug in 3 for x
2*3^2-4 = 18-4 = 14
You receive $8 for raking leaves for 2 hours. What is your hourly wage?
An expression is
An hourly wage is $
Answers
Answer:
your hourly wage is 4
Step-by-step explanation:
Hourly wage will be 4 if done correctly.
The price of an item at the store can be defined by the variable h. Based on this information, which of the options below represents a markup in price for that item? Select all that apply.
A) 1.05h
B) 1.15h
C) 1.03h
D) 0.95h
E) 0.8h
please help this is the last question i have, at least for now :(
Answers
Answer:
i just took the test the answer is A,B and C.
Step-by-step explanation:
Answer:
ABC
Step-by-step explanation:
Can someone help me me I think I'm bad at this honestly..
Answers
Answer:
J
A=7.07cm^2
Step-by-step explanation:
A= (pi)(r^2)
diameter=3
radius= 1/2 of the diameter = 1.5
pi = approximately 3.14
A= (3.14) (1.5)^2
A= 7.065 ----> rounds to 7.07
I will give you 15 points
Answers
Answer: A, D
Step-by-step explanation:
Jonathan deposits $6,000 in a savings account that pays 2.1% interest compounded
quarterly. What is his balance after one year?
Answers
Given:
Principal= $6000
Rate of interest = 2.1% compounded quarterly.
To find:
The balance after one year.
Solution:
The formula for amount is:
[tex]A=P\left(1+\dfrac{r}{n}\right)^{nt}[/tex]
Where, P is principal, r is rate of interest, n is number of times interest compounded in an year and t is number of years.
We have, P=6000, r=0.021, n=4 and t=1.
Putting these values in the above formula, we get
[tex]A=6000\left(1+\dfrac{0.021}{4}\right)^{4(1)}[/tex]
[tex]A=6000\left(1+0.00525\right)^{4}[/tex]
[tex]A=6000\left(1.00525\right)^{4}[/tex]
[tex]A=6126.9957[/tex]
[tex]A\approx 6126.996[/tex]
Therefore, the balance after one year is $6126.996.
Answer:
C. $7,800
Step-by-step explanation:
Solve 3-4/7 with steps pls
Answers
-4/7= −0.571428571428571
Since it’s a really big decimal, we’re going to round it to the nearest hundredth. That would get you -0.57
Next we would do 3-0.57
3-0.57= 2.43
So your answer would be 2.43
Hope it helps :)
Number 2 please help
Answers
Answer:
you just have to check the first and the third box
Step-by-step explanation:
put each into slop intercept form
y+6=-5(x-2) is the same as y=-5x+4
y-2=-5(x+6) is the same as y=-5x-28
y=-5x+4
y=-5x-28
all of them have a slope of -5, but you need to plug in (2,-6) to see which on is true
Kelly went to a store to purchase a coffee pot. She will use a coupon for 20% off. She can calculate the cost before sales tax using the follow expression, c represents the original cost of the coffee pot. C- 0.2c
Which other expression could kelly use to calculate her cost before sales tax?
A. 0.8c
B. 1.2c
C. 1.8c
D. 80c
Answers
Find 3 ratios that are equivalent to the given ratio.
12:14
Answers
24:28
48:56
to find ratios that are equivalent to any given ratio you can just divide or multiply both numbers by the same number, like for 2:3, just multiply both numbers by 2 and you'll get 4:6 which is an equivalent ratio
lead has a density of 11.35g/cm'3. a lead ball weighs about 2kg. what is the radius of this ball
Answers
Answer:
The radius of the ball is 3.48 cm
Step-by-step explanation:
Density
The density of a substance is the mass per unit volume. The density varies with temperature and pressure.
The formula to calculate the density of a substance of mass (m) and volume (V) is:
[tex]\displaystyle \rho=\frac{m}{V}[/tex]
The density of lead is \rho=11.35\ g/cm^3 and the mass of a ball of lead is m=2 kg=2,000 g. We can calculate the volume by solving for V:
[tex]\displaystyle V=\frac{m}{\rho}[/tex]
[tex]\displaystyle V=\frac{2000\ g}{11.35\ g/cm^3}[/tex]
[tex]V=176.2115\ cm^3[/tex]
Since the shape of the object is a sphere, and the volume of a sphere of radius r is:
[tex]\displaystyle V=\frac{4}{3}\cdot \pi\cdot r^3[/tex]
We can solve for r and obtain:
[tex]\displaystyle r=\sqrt[3]{\frac{3V}{4\pi}}[/tex]
Substituting:
[tex]\displaystyle r=\sqrt[3]{\frac{3*176.2115}{4\pi}}[/tex]
[tex]\displaystyle r=\sqrt[3]{42.0674}[/tex]
[tex]\boxed{r=3.48\ cm}[/tex]
The radius of the ball is 3.48 cm
Which number is smaller? cube root of 348, Or the square root of 48
Answers
Answer:
Square root of 48
Step-by-step explanation:
The cube root of 348 is ~7.03, but the square root of 48 is ~6.9. Making the square root of 48 smaller.
i need help finding the missing angle measurement
Answers
Answer:
70
Step-by-step explanation:
what are the factors to 424,380
Answers
Answer:
the factors are: 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 643, 660, 1286, 1929, 2572, 3215, 3858, 6430, 7073, 7716, 9645, 12860, 14146, 19290, 21219, 28292, 35365, 38580, 42438, 70730, 84876, 106095, 141460, 212190, 424380.
Step-by-step explanation:
please help asap also brainly
Answers
BRAINLIEST. HELP pleaseee
Answers
Answer:
2x = 10
Simplifying
2x = 10
Solving
2x = 10
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Divide each side by '2'.
x = 5
Simplifying
x = 5
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
-8+2x=10
-8 + 2x + 8 = 10 + 8
2x/2 = 18/2
x=9