Answer: 299 m/s
Step-by-step explanation:
The first step is to take the first derivative of the equation given. This will give us the equation for velocity which we will then substitute the 7 in for t.
To derive the equation you multiply the coefficient by the power of the variable, then subtract one from the variable.
v(t) = 6t^2 + 5
Now input 7 in for t to find the velocity.
v(7) = 6(7)^2 + 5
v(7) = 299 m/s
Answer:
$1350
Step-by-step explanation:
Given she sold the car 10% less than what she bought it, amount she sold the car will be 10% of the amount she bought the car subtracted from the amount she bought he car .
She bought the car for $1500
Therefore,
10% of $1500
10% /100% x $1500
0.1 x $1500
$150
Now , amount she sold the car = $1500 - $150
= $1350
She sold the car for $1350
1. A. parallel, because when you get y by itself it is y=-2x+7, the two equations have the same slope which means they are parallel.
2. B. sometimes, in order for two lines to be parallel they have to have the same slope so, it is possible that two lines say with a slope of 3, those would be parallel BUT it doesn't always have to have a positive slope for it to be parallel like in question 1.
3. C. never, If they have the same slope they are parallel despite whatever the y-intercept is.
Answer: A RECTANGLE ( It has four sides, its opposite sides are congruent and all its angles measure 90 degrees)
Step-by-step explanation:
For this exercise it is important to remember the definition of a "Cross section".
In Geometry a "Cross section" is defined as that shape obtained when a three-dimensional figure is sliced by a plane.
In this case, according to the information given in the exercise, the cheese block has the shape of a cylinder. This is the three-dimensional figure.
Observe in the picture attached in the exercise that the cylinder-shaped cheese block is cut through perpendicular to its base.
By definition, when this perpendicular cut happens, the shape obtained is a Quadrilateral which has four equal angles that measure 90 degrees and whosepposite sides are parallel have equal length.
Therefore, you can conclude that the two-dimensional cross section that would be created by slicing the cylinder-shaped cheese block perpendicular to its base,is: A RECTANGLE.
Answer:
9
Step-by-step explanation:
6÷2(1+2)
(1+2)
3
6÷2×3
6÷2=
3
3×3
9
