we know that 9*9 = 81, so let's start there.
0.9 * 0.9
one amount has 1 decimal, the second amount has another decimal, so in the product, we must have two decimals, let's do the multiplication without the dot.
09 * 09 = 81
but we must have two decimals, so that becomes 0.81.
0.09 * 0.9
here we do the same, the multiplication without the dot, and then we add as many decimals, in this case is 3 decimals, first term has 2 and the second term has 1 decimal, so the product must have 3 decimals.
009 * 09 = 81
getting those 3 decimals.......... 0.081.
0.009 * 0.9
here we do the same
0009 * 09 = 81
the product needs 4 decimals, so................ 0.0081.
0.009 * 0.09
we do the same here
0009 * 009 = 81
since the product needs 5 decimals................. 0.00081.
Answers:
g(x) h(x) d(x)
vertical shift down 3 reflection across the x-axis vertical shift down 3
horizontal shift left 3 vertical strecht of 3 horizontal shift right 3
Quadratic parent: f(x)=x^2
The graph is a parabola with vertex V=(0,0) at the origin and opens up.
When x=1→f(1)=1^2→f(1)=1
1) g(x)
The graph opens up, then there is not a reflection across the x-axis.
The vertex is at the point (-3,-3): 3 units to the left and 3 units down of the vertex of the parent funtion.
When x is 1 unit to the right from the vertex g(x)=1
Then the transformations were applied to the cuadratic parent function are:
1.1) vertical shift down 3.
1.2) horizontal shift left 3.
2) h(x)
The graph opens down, then there is a reflection across the x-axis.
The vertex is at the origin (0,0).
When x is 1 unit to the right from the vertex h(x)=-3
Then the transformations were applied to the cuadratic parent function are:
2.1) reflection across the x-axis.
2.2) vertical strecht of 3.
3) d(x)
The graph opens up, then there is not a reflection across the x-axis.
The vertex is at the point (3,-3): 3 units to the right and 3 units down of the vertex of the parent funtion.
When x is 1 unit to the right from the vertex d(x)=1
Then the transformations were applied to the cuadratic parent function are:
3.1) vertical shift down 3.
3.2) horizontal shift right 3.
Answer:
it will take 9 hours to empty the pool.
Step-by-step explanation:
The pool is shaped like a rectangular prism with length 30 feet, wide 18 ft, and depth 4ft. It means that when the pool is full, its volume is
30 × 18 × 4 = 2160 ft³
If water is pumped out of the pool at a rate of 216ft3 per hour, then the rate at which the water in the pool is decreasing is in arithmetic progression. The formula for determining the nth term of an arithmetic sequence is expressed as
Tn = a + d(n - 1)
Where
a represents the first term of the sequence(initial amount of water in the pool when completely full).
d represents the common difference(rate at which it is being pumped out)
n represents the number of terms(hours) in the sequence.
From the information given,
a = 2160 degrees
d = - 216 ft3
Tn = 0(the final volume would be zero)
We want to determine the number of terms(hours) for which Tn would be zero. Therefore,
0 = 2160 - 216 (n - 1)
2160 = 216(n - 1) = 216n + 216
216n = 2160 - 216
216n = 1944
n = 1944/216
n = 9
Answer:
3.since two base side are equal
4.sum of interior angle of the triangle is 180
9.base angle of isosceles triangle
16.the inscribed angle from the diameter is 90°
21.being CAE=90°
Step-by-step explanation:
ta