Answer:
2/3a^5
Step-by-step explanation:
we know that 2/7x2/7x2/7 = 8/27
a^15 cube will be a^5
because we know (2^3)^2 = 2^6
so (a^5)^3 = a^15
2/3a^5
Answer:
<u>4 meters.</u>
Step-by-step explanation:
Benjamin has walked two legs of a right triangle, so you can connect her two movements with a line if you were sketching the situation.. The displacement is the objects overall change in position in relation to its origin, so in your case, Benjamin's apartment. While the total distance adds up regardless of her position.
So, the total distance Benjamin walked is 10m + 6m = 16m
Her displacement can be found by your best friends, the Pythagorean Theorem: 10m ^2 + 6m ^2 = delta x^2 (or displacement squared).. giving you a displacement of 11.66, or 12 m.
The difference between the distance she walked and her displacement is 4 meters.
I hope this helps. If you have any more questions, please feel free to post them and someone will be able to help you, whether it's myself or others. Please leave a like, rating, and if possible, Brainliest. Have a great day!
Step-by-step explanation:
in moving from the point let say A(7,0) to the point B(-1,3), the x-coordinate increases by (7-(-1)= 8 while the y-coordinate decreses by (0-3)=-3. The same of this is given by finding the square of 8=64 and (-3)=9. by summing the two we have 64+9=73. so we find the square root of 73 which which is 8.55. so therefore the answer is 8.55 which is approximately 9
Answer: B 0.5 kWh per day
Step-by-step explanation:
Since the graph represents the function where electricity usage in kilowatts per hour of a clock radio varies directly with the number of days it is plugged into the wall current
The constant of variations will be the gradient ( slope ) of the graph.
Gradient = (Y2 - Y1)/(X2 - X1)
Where X1 = 2, X2 = 6, Y1 = 0.5, Y2 = 1.5
Substitute all the values into the formula
Gradient = (1.5 - 0.5)/( 6 - 4 )
Gradient = 1/2
Gradient = 0.5.
Therefore, a reasonable estimate of the constant of variation is 0.5 kWh per day
The first thing we must do for this case is to define variables:
w: pounds of meat
x: carton of milk
y: loaf of bread
z: cereal breakfast box
We write the system of equations:
0.70x + 0.60y + 0.50z + 1.50w = 10
x = 2y
z = y + 1
w = z
Solving the system we have:
w = 3
x = 4
y = 2
z = 3
Answer:
3 pounds of meat
4 cartons of milk
2 loaves of bread
3 boxes of breakfast cereal
