Answer:
5^ -7 =1 / 5^7
Step-by-step explanation:
(5^2)-^2/ 5^3
We know that a^b^c = a^(b*c)
(5^2)-^2 = 5^(2*-2) = 5^-4
5^-4/ 5^3
We know that a^b /a^c = a^ (b-c)
5 ^ (-4-3)
5^ -7
If we don't want to use negative exponents
We know that a^ -b = 1/ a^b
1 / 5^7
The answer is B
because
10*60=600 s
5*60=300s
2*60=120s
you have a total 1020 s
The roses were 20 dollars :) have a good day.
<u>Answer-</u>
<em>The insect population at the end of week 11 is </em><em>1730</em><em>.</em>
<u>Solution-</u>
A population of insects grows exponentially.
The general form of exponential function is,
Where,
a, b are constants.
Putting the data given in the table, in the the equation in order to get the values of a, b
At (0, 20)
Now the exponential function becomes,
At (1, 30)
Now the equation becomes,
For calculating the number of insects at the end of the 11th week, putting x=11, so
3. Hypotenuse 8m, the usual 45/45/90 triangle sides in ratio 1:1:√2. So we're 8/√2 = 4√2 from the wall.
Answer: 4√2 meters
4. 30/60/90 right triangle, sides in ratio 1:√3:2. Hypotenuse 50m, we're after the side opposite 60, so 50/√3 = (50/3) √3
Answer: (50/3)√3 meters
5. 45/45/90 again, ratio 1:1:√2. Leg 3 cm so hypotenuse 3√2
Answer: 3√2 cm
6. The altitude divides the triangle into two 30/60/90 triangles, ratio 1:√3:2.
The side length s of the original equilateral triangle is the hypotenuse and the altitude h is the long leg, so h= (√3/2) s.
Answer: a. 3√3 cm b. 2√3 cm c. 5√3 cm
