The image is attached.
Answer:
x = 16°
Step-by-step explanation:
Segment AB, segment DC and segment EC all intersect at point C.
Here, we are told angle DCE measures 148°.
This is a semi-circle, and the total angle of a semi-circle is 180°.
Which means, x+x+148 = 180
Solving for x, we have:
x+x+148 = 180
2x + 148 = 180
2x = 180 - 148
2x = 32
x = 16°
The value of x is 16°
Answer: 1.
x |0|0.5|2
dy/dx |2|5 |undefined
2.
x |0 |0.5| 2
dy/dx |undefined|5 | 2
3.
x | 0 |0.5|2
dy/dx|undefined |4 |2
Step-by-step explanation:
Answer:
About 158 times
Step-by-step explanation:
Represent the rate of human heart with H and sparrow's heart with S
Required
Determine how many times faster is S than H
To do this, we simply divide S by H i.e.
--- approximated
<em>Hence, the sparrow's heart beats about 158 times faster than the human hearts</em>
Answer:
10.9361
Step-by-step explanation:
The lower control limit for xbar chart is
xdoublebar-A2(Rbar)
We are given that A2=0.308.
xdoublebar=sumxbar/k
Rbar=sumR/k
xbar R
5.8 0.42
6.1 0.38
16.02 0.08
15.95 0.15
16.12 0.42
6.18 0.23
5.87 0.36
16.2 0.4
Xdoublebar=(5.8+6.1+16.02+15.95+16.12+6.18+5.87+16.2)/8
Xdoublebar=88.24/8
Xdoublebar=11.03
Rbar=(0.42+0.38+0.08+0.15+0.42+0.23+0.36+0.4)/8
Rbar=2.44/8
Rbar=0.305
The lower control limit for the x-bar chart is
LCL=xdoublebar-A2(Rbar)
LCL=11.03-0.308*0.305
LCL=11.03-0.0939
LCL=10.9361
Answer: {(x + 2), (x - 1), (x - 3)}
Step-by-step explanation:
Presented symbolically, we have:
x^3 - 2x^2 - 5x + 6
Synthetic division is very useful for determining roots of polynomials. Once we have roots, we can easily write the corresponding factors.
Write out possible factors of 6: {±1, ±2, ±3, ±6}
Let's determine whether or not -2 is a root. Set up synthetic division as follows:
-2 / 1 -2 -5 6
-2 8 -6
-----------------------
1 -4 3 0
since the remainder is zero, we know for sure that -2 is a root and (x + 2) is a factor of the given polynomial. The coefficients of the product of the remaining two factors are {1, -4, 3}. This trinomial factors easily into {(x -1), (x - 3)}.
Thus, the three factors of the given polynomial are {(x + 2), (x - 1), (x - 3)}
