Answer:
3
Step-by-step explanation:
Y intercept when x = 0
F(0) = 3 * 4^(0) = 3 * 1 = 3
Answer:
x=-2
Step-by-step explanation:
Since it is an equilateral triangle (note the little lines across the legs of corner 2) the other angle must be 69° as well.
That leaves 180-69-69 = 42 for ∠2.
So x + 44 = 42 => x = 42-44 = -2.
Answer:
left, right
Step-by-step explanation:
If you use the < or ≤ symbol to compare the numbers, their left-right order is the same as on the number line. Here, we would write the ordering as ...
-21 < -20 < -19
So, we see that ...
-21 is <em>left</em> of -20 on the number line
-19 is <em>right</em> of -20 on the number line
Answer:
The new volume is 14,850cm³
Step-by-step explanation:
Given
Volume of a rectangular prism = 550cm
Required
Value of volume when the dimensions are tripled.
The volume of a rectangular prism is calculated using the following formula.
V = lbh
<em>When Volume = 550, the formula is written as follows</em>
550 = lbh
<em>Rearrange</em>
lbh = 550
However, when each dimension is tripled.
This means that,
new length = 3 * old length
new breadth = 3 * old breadth
new height = 3 * old height
<em>Let L, B and H represent the new length, new breadth and new height respectively</em>
In other words,
L = 3l
B = 3b
H = 3h
Calculating new volume
New volume = LBH
Substitute, 3l for L, 3b for B and 3h for H;
V = 3l * 3b * 3h
V = 3 * l * 3 * b * 3 * h
V = 3 * 3 * 3 * l*b*h
V = 27 * lbh
Recall that lbh = 550
So,
V = 27 * 550
V = 14,850
Hence, the new volume is 14,850cm³
Answer:
40320 different ways
Step-by-step explanation:
That problem is a permutation one
We have eight people to occupy one position in a team, without any constraint at all
So
Total number of events = P(8)
P (8) = 8!
P (8) = 8*7*6*5*4*3*2*1
P (8) = 40320 different ways
