[tex]F = \frac{Gm_{1}m_{2} }{d^{2} }[/tex]
F x [tex]d^{2}[/tex] = G[tex]m_{1}m_{2}[/tex]
[tex]d^{2}[/tex] = [tex]\frac{Gm_{1}m_{2}}{F}[/tex]
d = ±[tex]\sqrt{\frac{Gm_{1}m_{2}}{F} }[/tex]
Since "m1" and "m2" represent different masses, we can change them to different letters. This will make it easier to solve.
m1 = m
m2 = n
F = G*m1*m2/d^2 → F = Gmn/d^2
Steps to solve for d:
F = Gmn/d^2
~Multiply d^2 to both sides
d^2 * F = d^2 * Gmn/d^2
~Simplify
d^2 * F = Gmn
~Divide F to both sides
d^2*F/F= Gmn/F
~Simplify
d^2 = Gmn/F
~Take the square root of both sides
√d^2 = ±√Gmn/F
~Simplify
d = ±√Gmn/F
Since we are done solving for d, we can input "m1" and "m2" to replace "m" and "n".
d = ±√Gmn/F → d = ±√G*m1*m2/F
Therefore, the answer is [ d = ±√G*m1*m2/F ]
Best of Luck!
Please help me!!!!!!!! :)
Answer:
Step-by-step explanation:
the 30 year olds are more likely to pick chocolate as their favorite ice cream because the fraction of people who like chocolate is 14/20 where the other 3 are 4/20 and 2/20. this can be converted into percentages as well by multipling by 5. 70% of people who are in their 30s like chocolate opposed to the 20% and 10%.
WILL MARK BRAINLIEST ANSWER PLEASE HELP ASAP!!! Which of the following expressions can be used to rationalize the fraction below? 15/square root3
Answer:
D I think
Step-by-step explanation:
none of the others look right
The fraction which is used to rationalize fraction [tex]15/\sqrt{3}[/tex] is option D which is [tex]\sqrt{3}/\sqrt{3}[/tex].
What is fraction?A fraction is a combination of two numbers one is numerator and other is denominator. Number above division is numerator and number above division is denominator. It is expressed as u/v where u is numerator and v is denominator.
How to rationalize fraction?The given fraction is [tex]15/\sqrt{3}[/tex] and we have to rationalize the fraction now we have to multiply and divide [tex]15/\sqrt{3}[/tex] by [tex]\sqrt{3}[/tex]
=15/[tex]\sqrt{3}[/tex]*[tex]\sqrt{3}\sqrt{3}[/tex]
=[tex]15\sqrt{3}/3[/tex]
Rationalized fraction will be [tex]15\sqrt{3} /\sqrt{3}[/tex].
Hence the fraction required to rationalize fraction 15/[tex]\sqrt{3}[/tex] is [tex]\sqrt{3} /\sqrt{3}[/tex].
Learn more about fraction at https://brainly.com/question/78672
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PLEASE HELP Give an example of an equation that has no solution and show why:
Answer:
2x-3=2x-4
Step-by-step explanation:
2x-3=2x-4
-3=-4
Not true. Thus, no solution.
Answer:
say the equation was 2x - 5 = 2x -3
well the first thing I could do is subtract the 2x from both sides, but 2x is on both sides so there would be no x-value meaning there is no solution
pls answer for brainliest
Answer:
1/2 times 632
Step-by-step explanation:
If youn multiply something by 1/2, it is just divided by 2. They are the same thing.
Answer:
[tex] \frac{1}{2} \times 632[/tex]
First answer is correct
Step-by-step explanation:
of means multiply
so,
[tex] \frac{50}{100} \times 632 \\ = \frac{1}{2} \times 632[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
evaluate the expression 10(x+2)+10x2 for x=2
Answer:
60
Step-by-step explanation:
10(2+2)+10x2
10(4)+20
=60
Answer: 60
Step-by-step explanation:
-x^2+2x-5^3-4x+5 in standard form
Answer:
[tex]x^{2}[/tex]-2x-120
Step-by-step explanation:
Answer:
-5x^3 - x^2 - 2x + 5
Step-by-step explanation:
Rewrite the given expression in descending powers of x:
-5x^3 - x^2 - 2x + 5
The aquarium shown is a rectangular prism that is filled with water. You drop a spherical ball with a diameter of 8 inches into the aquarium. The ball sinks, causing the water to spill from the tank. How much water is left in the tank? Enter your answer to the nearest tenth. (Hint: 1 in3 = 0.00433 gal)
13 in.20 in.13 in.
The amount of water left is about
gallons.
This question is incomplete because it is not properly and correctly written.
Find attached to this answer a hand drawn sketch diagram of the Aquarium (rectangular prism) showing its dimensions.
Complete Question
The aquarium shown is a rectangular prism that is filled with water. You drop a spherical ball with a diameter of 8 inches into the aquarium. The ball sinks, causing the water to spill from the tank. How much water is left in the tank? Enter your answer to the nearest tenth. (Hint: 1 in³ = 0.00433 gal)
The dimensions of the rectangular prism is given as:
Height = 13 in
Width = 13 in
Length= 20in
The amount of water left is about ____ gallons.
Answer:
The amount of water left in the tank approximately to the nearest tenth is 13.5 gallons (gal) of water
Step-by-step explanation:
Step 1
We are given a rectangular prism with the dimensions :
Height = 13 in
Width = 13 in
Length= 20 in
The first step would be to find the Volume of the Rectangular prism
Volume of the rectangular prism = Length × Width × Height
= 20in × 13in × 13in
= 3380 in³
From the question, we are given the hint that
1 in³ = 0.00433 gal
This means that 1 in³ of an object contains 0.00433 gallons of water.
Therefore, if
1 in³ = 0.00433 gal
3380 in³ =
Cross multiply
2880 in³ × 0.00433 gal
= 14.6354 gal
This means the Aquarium (rectangular prism) contains 14.6354 gallons of water.
Step 2
A spherical ball with the diameter of 8 inches was dropped into the aquarium.
We would find the volume of the spherical ball.
Volume of the Spherical ball = 4/3πr³
Radius = Diameter ÷ 2
= 8 inches ÷ 2 = 4 inches.
Volume of the Spherical ball = 4/3 × π × 4³
Volume of the Spherical ball = 268.08in³
Step 3
We would be converting the Volume of spherical ball to gallons because this gives us the quantity of water spilled due to the sinking of the spherical ball
If , 1 in³ = 0.00433 gal
268.08in³ =
Cross multiply
268.08 in³ × 0.00433 gal
= 1.1607864 gal.
Step 4
The fourth and final step is to subtract the volume of water in the aquarium from the volume of water spilled
14.6354 gal - 1.1607864 gal
= 13.4746136 gal
Approximately to the nearest tenth = 13.5 gal
Therefore, the amount of water left in the tank approximately to the nearest tenth is 13.5 gallons (gal) of water.
a) When 3 is subtracted from a
number, the result is 8.
Answer:
11
Step-by-step explanation:
check:
3+8=11
11-3=8
What is the product of Negative StartFraction 2 over 7 EndFraction and Negative StartFraction 3 over 7 EndFraction? Negative StartFraction 6 over 7 EndFraction Negative StartFraction 6 over 49 EndFraction StartFraction 6 over 49 EndFraction StartFraction 6 over 7 EndFraction
Answer:
its b
Step-by-step explanation:
Answer:
Step-by-step explanation:
B i did the test
Round 66.3899872389 to the nearest thousandth
Answer:
66.390
Step-by-step explanation:
Answer:
66.39
Step-by-step explanation:
The thousandth place is 0.00. To round, look at the number right after it. If the number is 4 or less, the number stays the same. If the number is 5 or greater, the number is rounded up.
For 66.3899872389, the bold number is the number we are trying to round. The number after it is 9. This number is greater than 5 so you have to round up.
Your answer is 66.39.
The point-stope form of the equation of the line that passes through (-5. -1) and (10.-7) is y+7= -2/5(x-10). What is the standard form of the equation for this line?
2x - 5y = -15
2x - 5y = -17
2x + 5y = -15
2x - 5y = -17
Answer:
2x+5y = -15
Step-by-step explanation:
y+7= -2/5(x-10)
Multiply each side by 5 to get rid of the fraction
5(y+7)= 5*-2/5(x-10)
5(y+7)= -2(x-10)
Distribute
5y+35 = -2x+20
Add 2x to each side
2x+5y +35 = 2x-2x+20
2x+5y +35 = 20
Subtract 35 from each side
2x+5y+35-35 = 20-35
2x+5y = -15
Select the expression that is equivalent to (x+4)?
о
A. x2 + 4x + 16
O
B. x2 + 8x2 +16
O c. x2 + 8x+16
O D. 2x + 8x + 16
Answer:
C. x^2 + 8x +16
Step-by-step explanation:
(x+4)(x+4)
[tex]x^{2}[/tex]+4x+4x+16
[tex]x^{2}[/tex]+8x+16
A. x^2 + 4x + 16 -> No! they did not add the two 4x
B. x^2 + 8x^2 + 16 -> No! they added the two 4 but they seem to have multiple the xs
C. x^2 + 8x + 16 -> Yes! it's the same results we got when we solve it
D. 2x + 8x +16 -> No! they added the two Xs.
The circle above represents the amount of fruits produced by a farmer . if 0 is the centre of the circle and the three angles at 0 are equal what fraction of the fruits produced were oranges ?
Answer:
(b) 1/3
Step-by-step explanation:
because it has 3 equal parts
Answer:
As shown in the picture, if the three angles at 0 are equal, the amount of fruits in 3 sections would be equal, too.
It means the total amount of fruits would be divided equally into 3 potions, 1 portion is pawpaw, 1 portion is mango, and 1 portion is orange.
=> Fraction of oranges: F = 1/3
=> Option C is correct
Hope this helps!
:)
Find the surface area AND the volume of the triangular prism
Answer:
SA=1200 in squared. V=2160 in cubed.
Step-by-step explanation:
Let's start with the surface area. The area of of a triangle is 1/2 x b x h. But we have 2 congruent triangle on the prism, so we have this.
2 x 1/2 x b x h.
The 2 and 1/2 cancel so we are left with b x h.
The other sides are easy.
Find the area of the sides we know that have base times height.
16 x 30 + 16 x 9 + 30 x 9...
To find the last side, we need to find the hypotenuse.
To find it, we use the pythagorean theorem.
a²+b²=c²
Use the values of the right triangle's dimensions and plug them in.
16²+30²=c²
256+900=c²
c²=1156
c=34
now using this, we have
16 x 30 + 16 x 9 + 30 x 9 + 9 x 34.
Now solve!
SA = 1200 in squared
The volume is easy.
All we need is the area of the triangular side and multiply it by the depth, 9.
16 x 30 x 1/2 =
240
240 x 9=
2160. in cubed
What is the inverse of the function? f(x)=3x−1
Answer:
The inverse is 1/3 (x+1)
Step-by-step explanation:
y = 3x-1
Exchange x and y
x = 3y-1
Solve for y
Add 1 to each side
x+1 = 3y-1+1
x+1 = 3y
Divide each side by 3
(x+1)/3 = 3y/3
1/3(x+1) =y
The inverse is 1/3 (x+1)
John paid $100 for renting a canoe for 5 hours. Which graph shows the relationship between the cost of renting a canoe for different hours?
A graph is shown. The title of the graph is Canoe Renting. The horizontal axis label is Number of Hours. The horizontal axis values are 0, 1, 2, 3, 4, 5, 6. The vertical axis label is Cost in dollars. The vertical axis values are 0, 20, 40, 60, 80, 100, 120. Points are plotted on the ordered pairs 1,100 and 2,100 and 3,100.
A graph is shown. The title of the graph is Canoe Renting. The horizontal axis label is Number of Hours. The horizontal axis values are 0, 1, 2, 3, 4, 5, 6. The vertical axis label is Cost in dollars. The vertical axis values are 0, 20, 40, 60, 80, 100, 120. Points are plotted on the ordered pairs 1,20 and 2,40 and 3,60
A graph is shown. The title of the graph is Canoe Renting. The horizontal axis label is Number of Hours. The horizontal axis values are 0, 1, 2, 3, 4, 5, 6. The vertical axis label is Cost in dollars. The vertical axis values are 0, 20, 40, 60, 80, 100, 120. Points are plotted on the ordered pairs 1,10 and 2,20 and 3,30.
A graph is shown. The title of the graph is Canoe Renting. The horizontal axis label is Number of Hours. The horizontal axis values are 0, 1, 2, 3, 4, 5, 6. The vertical axis label is Cost in dollars. The vertical axis values are 0, 20, 40, 60, 80, 100, 120. Points are plotted on the ordered pairs 1,40 and 2,80 and 3,120.
Answer:
The answer is B.
Step-by-step explanation:
You would pay about $20 each hour
Answer:
The answer is B)
Step-by-step explanation:
Brainiest If Correct + 50pts ---The cylinder with base radius 5 and height 12 is inscribed in a right rectangular prism. Find the total surface area and the volume of the prism.
Answer:
SA = 680 units^2
V =1200 unit^3
Step-by-step explanation:
If the radius is 5 then the diameter is 2r = 2*5 = 10
The height would remain the same
Surface area of a prism is given by
SA = 2 (lw+lh+hw)
l =d = 10 w = d = 10 h = 12
SA = 2 ( 10*10 + 10 * 12+ 12* 10)
SA = 2( 100+120+120)
SA = 2(340)
SA = 680 units^2
V = l*w*h = 10*10*12 =1200 unit^3
Chris buys 8 more Ninja Turtles than Star Wars action figures. The Ninja Turtles cost $7 each and the Star Wars cost $9 each. Write an expression to model this situation, using S for Star Wars.
Answer:
Total Cost, C=$(16S +56)
Step-by-step explanation:
Chris buys 8 more Ninja Turtles than Star Wars action figures.
Cost of each Ninja Turtle = $7
Cost of each Star Wars = $9
Let number of Star Wars bought = S
As per question statement, number of Ninja Turtles bought = S+8
Cost of 'S' number of Star Wars = Number of Star Wars bought [tex]\times[/tex] cost of each Star Wars
Total cost of Star Wars bought = S [tex]\times[/tex] 9 or $9S
Similarly, Cost of 'S+8' number of Ninja Turtles = Number of Ninja Turtles bought [tex]\times[/tex] cost of each Ninja Turtles
Total cost of Ninja Turtles bought = (S+8) [tex]\times[/tex] 7 or $(7S +56)
Total Cost of the purchase = Total cost of Star Wars Bought + Total cost of Ninja Turtles bought
Total Cost of the purchase, C = 9S + (7S +56)
[tex]\Rightarrow C=\$(16S +56)[/tex]
Answer:
C=$(16S +56)
Step-by-step explanation:
HELP PLS ASAP WILL MARK BRAINLIEST!!!
Answer:
C. $40,000
Step-by-step explanation:
5/8*3200*20
2000*20
$40,000
Answer:
The correct answer is D. $64,000
Just multiply $20 x 3,200
= $64,000
Step-by-step explanation:
Hope it works out :)))Consider the line -5x - 3y = 9.
Find the equation of the line that is parallel to this line and passes through the point (-2, 2).
Find the equation of the line that is perpendicular to this line and passes through the point (-2, 2).
Answer:
hope this helps You
Would you rather ... Drive a car at a rate of 40 miles per hour ***OR*** Drive a car at a rate of 50 feet per second?
Answer:
40 mph
Step-by-step explanation:
at least I won't crash in one second, and that's not that slow.
Answer:
i rather drive a car 40 miles per second however.... driving at 50ft per second sounds like fun
Step-by-step explanation:
Determine whether the function below is an even function, an odd function, both, or neither.
f) = r6 + 10.04 - 11/2 + 19
O A.
both even and odd
ОВ.
odd function
O c.
even function
D.
neither even nor odd
Answer:Test to determine if a function y=f(x) is even, odd or neither: Replace x with -x and compare the result to f(x). If f(-x) = f(x), the function is even. If f(-x) = - f(x), the function is odd.
Step-by-step explanation:
Answer:
Even function because the highest exponent of the variable is a 6, and 6 is an even number.
Step-by-step explanation:
SOMEONE PLEASE HELP ME ASAP PLEASE!!
[tex]\sf{Answer}\\[/tex]
→ A plane contain three non - collinear points.
Which of the following is an example of how cultural and social factors can influence a consumers decisions to buy a product? A:A bookshelf is low maintenance B: A makeup brand is endorsed by a celebrity C:A seller will ship a book for free D:A vacuum cleaner has a one year warranty
B: A makeup brand is endorsed by a celebrity
The following information should be considered;
Cultural and social factors should impact the decision of the consumer for purchasing the product. So on the basis of the given options, the option b is correct.learn more: https://brainly.com/question/994316?referrer=searchResults
Answer:
B- a makeup brand is endorsed by a celebrity
Step-by-step explanation:
When we see a celebrity influencing a product, we want to go buy it.
EX- Let's pretend you see Kendal Jenner wearing a pair of designer boots.
We, the audience and shoppers see that they look good on her and want to buy it.
what is an equation of a circle with center (-10,6) and radius 8?
Answer:
(x+10) ^2 + (y-6)^2 = 64
Step-by-step explanation:
The equation of a circle can be written as
(x-h) ^2 + (y-k)^2 = r^2 where( (h,k) is the center and r is the radius
(x- -10) ^2 + (y-6)^2 = 8^2
(x+10) ^2 + (y-6)^2 = 64
how much lb an oz PLEASE HELP
1 pound (lb) is in 16 ounces (oz).
Answer:
16
Step-by-step explanation:
Stay safe and wear a mask!
Find the value of y.
m∠1 = 2y + 8
Option choices:
41
47
46
36
Answer:
the answer of above question is 41
Answer:
41
Step-by-step explanation:
HOPE I HELP!
What must be a factor of the polynomial function f(x) graphed on the coordinate plane below?
Answer:
easy, if the intercepts or roots or zeros of the equation are r₁ and r₂ then 2 factors of the equatain are (x-r₁) and (x-r₂)
so
we see it intercepts the x axis at 1 and 6
r₁=1
r₂=6
therefore 2 roots are (x-1) and (x-6)
answer is 2nd option
Step-by-step explanation:
if
Answer:
b
Step-by-step explanation:
took the quiz got it right
If x = 1/2 what is the value of the following expression?
Answer:
[tex]=-2x+14[/tex]
Step-by-step explanation:
[tex]\left(\frac{1}{2}\right)^2\cdot \:8-2x+\left(5+7\right)\\\mathrm{Remove\:parentheses}:\quad \left(a\right)=a\\=\left(\frac{1}{2}\right)^2\cdot \:8-2x+5+7\\\left(\frac{1}{2}\right)^2\cdot \:8=2\\\left(\frac{1}{2}\right)^2\cdot \:8\\\left(\frac{1}{2}\right)^2=\frac{1}{2^2}\\\left(\frac{1}{2}\right)^2\\\mathrm{Apply\:exponent\:rule}:\quad \left(\frac{a}{b}\right)^c=\frac{a^c}{b^c}\\=\frac{1^2}{2^2}\\\mathrm{Apply\:rule}\:1^a=1\\1^2=1\\=\frac{1}{2^2}\\=8\cdot \frac{1}{2^2}[/tex]
[tex]\mathrm{Multiply\:fractions}:\quad \:a\cdot \frac{b}{c}=\frac{a\:\cdot \:b}{c}\\=\frac{1\cdot \:8}{2^2}\\\mathrm{Multiply\:the\:numbers:}\:1\cdot \:8=8\\=\frac{8}{2^2}\\\mathrm{Factor}\:8:\quad 2^3\\\mathrm{Factor\:}8=2^3\\=\frac{2^3}{2^2}\\\mathrm{Cancel\:}\frac{2^3}{2^2}:\quad 2\\\frac{2^3}{2^2}\\\mathrm{Apply\:exponent\:rule}:\quad \frac{x^a}{x^b}=x^{a-b}\\\frac{2^3}{2^2}=2^{3-2}\\=2^{3-2}\\\mathrm{Subtract\:the\:numbers:}\:3-2=1\\=2\\=2-2x+5+7\\Group\:like\:terms\\=-2x+2+5+7[/tex]
[tex]\mathrm{Add\:the\:numbers:}\:2+5+7=14\\=-2x+14[/tex]
PLEASE HELP WILL GIVE BRAINLIEST
select the equation for the line described
the line crossing the point (2,7) and with slope = -2
Answer:
Here is your answer
Step-by-step explanation:
y - 7 = -2(x-2)
y - 7 = -2x + 4
+7 +7
y = -2x + 11
