The number of small cubes in each cuboid is:
(a) 3, b) 6, c) 27, and d) 16.
Given are four cuboids.
It is required to find the number of small cubes that are used to make these cuboids.
a) There are only 3 small cubes.
b) There is only one step of cubes.
Number of cubes = 3 + 3 = 6
c) There are 3 cubes arranged horizontally and 3 cubes arranged vertically through each surface.
Number of cubes in one step = 3 × 3 = 9
There are 3 steps like that.
So, total number of cubes = 3 × 9 = 27
d) There are 4 cubes in the horizontal position.
And there are 4 cubes going down.
Total number of cubes = 4 × 4 = 16
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Answer:
a) 3 cubes
b) 6 cubes
c) 15 cubes
d) 16 cubes
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How to get this answer:
Locate 6 on the x axis. Draw an arrow down until you reach the f(x) curve, then move to the left until you reach the y axis. We started at x = 6 and ended on y = -6. See the diagram below for this process in action.
So basically f(6) = -6. Visually the point (6,-6) is on the f(x) curve.
Through similar steps, we see that g(5) = -5
Therefore,
4*f(6) - 6*g(5) = 4*(-6) - 6*(-5) = -24 + 30 = 6
Given:
To find:
The arithmetic sequence using a Recursive Formula.
Solution:
We have,
...(i)
The explicit formula of an AP is
...(ii)
where, a₁ is first term and d is common difference.
From (i) and (ii), we get
Now, the recursive formula of an AP is
Putting d=2, we get
Therefore, the arithmetic sequence using a Recursive Formula is defined as , where n>2 and .
The arithmetic sequence given by the recursive formula is an = -5 + 2(n - 1). Each term in the sequence can be found by substituting the corresponding value of n into the formula.
An arithmetic sequence is a sequence of numbers in which the difference between two consecutive terms is constant. In this case, the recursive formula for the arithmetic sequence is given as an = -5 + 2(n - 1).
To find any term in the sequence, substitute the value of n into the formula. For example, to find the first term (a1), plug-in n = 1. The formula becomes a1 = -5 + 2(1 - 1) which simplifies to a1 = -5.
Similarly, to find the second term (a2), plug-in n = 2. The formula becomes a2 = -5 + 2(2 - 1) which simplifies to a2 = -3. Continuing this pattern, each term in the sequence can be found by substituting the corresponding value of n into the formula.
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Answer:
Step-by-step explanation:
A = length x width
l = x + 5
w = x
A = x(x + 5)
Answer:
the ball hit the ground at
Step-by-step explanation:
we have
This is the equation of a vertical parabola open downward
The vertex is a maximum
we know that
The x-intercept of the function is the value of t when the value of h(t) is equal to zero
The ball hit the ground when h(t) is equal to zero
equate the function to zero and solve for t
Factor the leading coefficient
The solutions are
therefore
the ball hit the ground at