So this is just working with exponents, but negative exponents can be a little tricky. your example didn't do a great job of showing how you calculate negative exponents.
for #2, you have 10⁻⁶
to convert negative exponents into something that makes more sense to our brain, you can set it beneath 1:
... or, in the event that you can't see that because you're on the app: (1)/(10⁶). so now, instead of calculating 10⁻⁶, which would probably give you a confusing decimal, you just need to figure out 10⁶ -- and positive exponents are much easier to deal with.
10⁶ = 1,000,000
BUT remember that you have to put this value beneath a 1 to account for your negative exponent and (1/1,000,000) is your answer for part A.
so, use the same steps for the rest of the problems:
1) convert negative exponent to positive exponent beneath 17⁻³ = (1)/(7³)
2) calculate 7³7³ = 343
<span>
3) your result is (1/343)</span>
<span>for 12</span>⁻², again, you'll put it beneath 1 so that it becomes (1)/(12²), then you'll calculate 12² (12*12 = 144), so that your result is (1/144). that leaves the letter D for number 2, which you'll have to write into your boxes at the top.
i hope this helps! you can message me if you have any specific ones that cause you trouble and i'll do my best to help.
Answer:
The italian goalie: 85.7%
Step-by-step explanation:
17 / 20 = 85% (Russian)
12 / 14 = 85.7% (Italian)
Molly would need 43 feet of fencing to fence the area.
Step-by-step explanation:
We can see that the area is in the form of a right-angled triangle. Since only two sides of the triangle is given, we could utilise Pythagoras theorem to our advantage to find out the third side.
In Δ ABC
AB² (base) + AC² (perpendicular) = BC² (hypotenuse)
Substituting the values of AB as 10 feet and BC as 18 feet
AC²= BC²- AB
²
∴AC²= 224
∴AC= 14.96 cm
Amount of fence required by molly would equal perimter of the area.
⇒The perimeter of the area would equal AB+BC+AC
⇒Summing up the values of AB, AC and BC
Perimeter= 10+14.96+18= 42.96 feet which is about 43 feet
Hence, Molly would require 43 feet of fencing.
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Answer:
(b) (x – 4)^2 + (y – 6)^2 = 16
Step-by-step explanation:
The equation for a circle with center (h, k) and radius r is ...
(x -h)^2 +(y -k)^2 = r^2
You want the equation for a circle with center (4, 6) and radius 4. That equation is ...
(x -4)^2 +(y -6)^2 = 16