Answer: Choice D. ![6.44 \times 10^{-4}](https://tex.z-dn.net/?f=6.44%20%5Ctimes%2010%5E%7B-4%7D)
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Work Shown:
We multiply the coefficients 9.2 and 7 to get 64.4, which is the same as 6.44*10^1 in scientific notation. When multiplying exponential expressions with the same base, we add the exponents
This is what the steps could look like
![\left(9.2 \times 10^{-9}\right)\times\left(7 \times 10^{4}\right)\\\\\left(9.2\times7\right)\times\left(10^{-9} \times 10^{4}\right)\\\\\left(64.4\right)\times\left(10^{-9+4}\right)\\\\\left(6.44\times 10^{1}\right)\times\left(10^{-5}\right)\\\\6.44\times\left(10^{1}\times 10^{-5}\right)\\\\6.44\times\left(10^{1+(-5)}\right)\\\\6.44\times 10^{-4}\\\\](https://tex.z-dn.net/?f=%5Cleft%289.2%20%5Ctimes%2010%5E%7B-9%7D%5Cright%29%5Ctimes%5Cleft%287%20%5Ctimes%2010%5E%7B4%7D%5Cright%29%5C%5C%5C%5C%5Cleft%289.2%5Ctimes7%5Cright%29%5Ctimes%5Cleft%2810%5E%7B-9%7D%20%5Ctimes%2010%5E%7B4%7D%5Cright%29%5C%5C%5C%5C%5Cleft%2864.4%5Cright%29%5Ctimes%5Cleft%2810%5E%7B-9%2B4%7D%5Cright%29%5C%5C%5C%5C%5Cleft%286.44%5Ctimes%2010%5E%7B1%7D%5Cright%29%5Ctimes%5Cleft%2810%5E%7B-5%7D%5Cright%29%5C%5C%5C%5C6.44%5Ctimes%5Cleft%2810%5E%7B1%7D%5Ctimes%2010%5E%7B-5%7D%5Cright%29%5C%5C%5C%5C6.44%5Ctimes%5Cleft%2810%5E%7B1%2B%28-5%29%7D%5Cright%29%5C%5C%5C%5C6.44%5Ctimes%2010%5E%7B-4%7D%5C%5C%5C%5C)
The final result is in scientific notation as the coefficient c is restricted such that ![0 \le c < 10](https://tex.z-dn.net/?f=0%20%5Cle%20c%20%3C%2010)
859.
<span>Because it rounds to 900, it must be somewhere between 850-899. The fifth odd number you count beginning with 1 is 9 (1, 3, 5, 7, 9). That leaves 859, 869, 879, 889, and 899. Then use a calculator to add them up, and 859 is the only one that adds up to 22.</span>
Answer:
468.4 meters
Step-by-step explanation:
Find the width of the rectangle.
The area of a rectangle is A=length*width. Substitute the values of length and area and solve for width.
A=length*width
8,400=140*width
60= width
Use the width of the rectangle to find the circumference of the semicircles. Since each semicircle is half of a circle, the perimeter of the two semicircles is equal to the circumference of one circle.
The circumference of a circle is equal to pid, where d is the diameter. The diameter of the semicircle is the same as the width of the rectangle.
So, the diameter is 60 meters. Substitute the diameter into the formula for the circumference and simplify using 3.14 for pi.
≈188.4
(2 times 140)+ 188.4
So, the perimeter of the track is 468.4 meters.
Answer:
Question 1:
B
Question 2:
False
Question 3:
B
Question 4:
A
Step-by-step explanation:
<em>Please let me know if these are wrong is that I can fix them.</em>
Answer:
8 × 1.25= 10, 28 × 1.25=35