Answer:
(4.75, 2.25)
Step-by-step explanation:
Given the coordinate (x,y). If this coordinate is reflected over the x axis, the resulting coordinate will be (x, -y)
Note that the y coordinate was negated.
Let the original point needed be (x, y)
If the new point is located at (4.75, -2.25)
Since the y coordinate was negated, then;
-y = -2.25
y = 2.25
x = 4,75 (x coordinate remains the same)
Hence the original point is (4.75, 2.25)
Using it's concept, considering the tree diagram, the probability of event C is given as follows:
P(C) = 0.26.
<h3>What is a probability?</h3>
A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.
Each node at the tree is a multiplication, hence the probability of event C is given as follows:
P(C) = 0.6 x 0.3 + 0.4 x 0.2 = 0.18 + 0.08 = 0.26.
More can be learned about probabilities at brainly.com/question/14398287
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Answer:
1. <
2. 23/24
3. 487 3/4
4. 29,725
5. Add 2 Add 4
15 17 19
16 19 23
17 21 27
18 23 31
19 25 35
20 27 39
Step-by-step explanation:
1. 11,437 is less than 11,473. 3, the tens place, is less than 7
2. Find the LCD of 5/8 and 1/3. It is 24, 5/8 * 3/3 = 15/24, 1/3 * 8/8 = 8/24
15/24 + 8/24 = 23/24
3. Divide 3902 by 8, 3902/8 = 487.75, As a mixed number, that is 487 3/4
4. 725 * 41 = 29,725
5. Add 2 to 17, 19, 21, 23, and 25. Add 4 to 19, 23, 27, 31, 35, and 39
6. Put each point on the graph, the horizontal line is first, and the vertical line is second:
Horizontal: Vertical:
17 and 19
19 and 23
21 and 27
23 and 31
25 and 35
27 and 39
Answer:
balanced reaction: <u>1</u> C3H8 + <u>5</u> O2 ----> <u>3</u> CO2 + <u>4</u> H2O
Answer:
hmax = 194 ft
The maximum height is 194 ft
Step-by-step explanation:
According to the given equation for the model of the vertical motion. The height at any point in time can be written as;
h(t) = -16t^2 + v0t + h0 .......1
Where;
h(t) = height at time t
t = time
v0 = initial velocity = 96 ft/s
h0 = initial height = 50 ft
To determine the maximum height we need to differentiate the equation 1 to find the time at which it reaches maximum height;
At the highest point/height h' = dh/dt = 0
h'(t) = -32t +v0 = 0
-32t + v0 = 0
t = v0/32
t = 96/32
t = 3 s
At t=3 it is at maximum height.
The maximum height can be derived from equation 1;
Substituting the values of t,v0,h0 into equation 1;
h(t) = -16t^2 + v0t + h0 .......1
hmax = -16(3)^2 + 96(3) + 50 = 194 ft
hmax = 194 ft
The maximum height is 194 ft