Answer:
The distance from the star to the second checkpoint is 4 miles
Step-by-step explanation:
The complete question in the attached figure
we know that
When you get to the second checkpoint, you are 1/4 of the distance to the finish
so
The distance from the star to the second checkpoint is equal to the total distance multiplied by 1/4
The total distance is 40 miles ( see the attached figure)
so
The distance from the star to the second checkpoint is
<em>Find out the distance from the start to the first checkpoint</em>
Multiply the distance from the star to the second checkpoint by 2/5
Given ---›
y = -3
&
y = x - 0.8
So,
=> x = y + 0.8
=> x = -3 + 0.8
=> x = -2.2
Therefore, the best approximation for the solution to this system of equations is = (–2.2, –3)
The answer here is simple to work out. We know that Ella has a total of $2.16. We need to determine each piece of gums value.
We also know that if the pieces of gum were one penny cheaper, she would have received three additional pieces.
At 8 pieces we know that each piece costs 27 cents. If the pieces of gum were one cent cheaper, she would have ended up with 8.64 pieces. Even with rounding, because the answer is not 11, we know that this is incorrect.
At 9 pieces we know that each piece costs 24 cents. If the pieces of gum were one cent cheaper, she would have ended up with 9.39 pieces. Even with rounding, because the answer is not 12, we know that this is incorrect.
At 16 pieces we know that each piece costs 13.5 cents. If the pieces of gum were one cent cheaper, she would have ended up with 17.28 pieces. Even with rounding, because the answer is not 19, we know that this is incorrect.
At 24 pieces we know that each piece costs 9 cents. If the pieces of gum were one cent cheaper, she would have ended up with 27 pieces. We know this is the correct answer because 27-24 is 3.
The correct answer is D) 24
Answer:
3π in^2
Step-by-step explanation:
Area of the circle before folding = π r^2
= 6^2 π
= 36 π is^2
The area of the resulting shape = 1/2 * 1/2 * 12π
= 3 π in^2.
Answer:
Step-by-step explanation:
1) True. This is because the divergence of F is 1, thus, F is a linear function. Orientation is given outward to the surface. Linear function double integrated over a surface with outward orientation gives volume enclosed by the surface.
2) True. This is primarily what the Divergence theorem is.
3) False. If F was 3/pi instead of div(F), then the statement would have been true.
4) False. The gradient of divergence can be anything. The curl of divergence of a vector function is 0, not the gradient o divergence.
5) False. While finding Divergence, derivatives are taken for different variables. Since the derivatives of constants are 0, therefore, both the vector functions F and G can be different constant parts of there components even if their divergences are equal.
