Answer:
8.7 \times 10^{-5}
Step-by-step explanation:
Given that the diameter of a human hair
Given that the diameter of a spider's silk
Now we have to find how much greater is the diameter of a human hair than the diameter of a spider's silk. To find that we just need to subtract the given numbers. Since powers are not same so let's make them equal now we can easily subtract the coefficients that is 3 from 9 = (90-3) \times 10^{-6}
= 87 \times 10^{-6}
= 8.7 \times 10^{-5}
Answer: Second option.
Step-by-step explanation:
Below are some transformations for a function f(x) :
1. If
, the function is shifted "k" units up.
2. If
, the function is shifted "k" units down.
3. If
, the function is shifted "k" units right.
4. If
, the function is shifted "k" units left.
The Cube root parent function is:
![f(x)=\sqrt[3]{x}](https://tex.z-dn.net/?f=f%28x%29%3D%5Csqrt%5B3%5D%7Bx%7D)
By definition, the graph of this function passes through the origin, as you can observe in the picture attached.
In this case, you need to analize the graph given in the exercise. You can see that the the graph of the function h(x) is like the parent function f(x), but shifted 2 units left.
Therefore, based on the transformations explained above, you can determine that the equation of the function h(x) is the following:
![h(x)=f(x+2)\\\\h(x)=\sqrt[3]{x+2}](https://tex.z-dn.net/?f=h%28x%29%3Df%28x%2B2%29%5C%5C%5C%5Ch%28x%29%3D%5Csqrt%5B3%5D%7Bx%2B2%7D)
Answer:
The number of heads observed is 121.14 heads
Step-by-step explanation:
The formula for the z-score of a proportion is given as follows;

Where:
= Sample proportion
p = Population success proportion = 0.5
q = 1 - p = 1 - 0.5 = 0.5
n = Number in of observation = 200
z = 2.99
Hence, we have;

Therefore;

= 0.6057

∴ The number of heads observed = 200 × 0.6057 = 121.14 heads.
Answer:
x(x - 5)(x - 7)
Step-by-step explanation:
Given
x³ - 12x² + 35x ← factor out common factor of x from each term
= x(x² - 12x + 35)
To factor the quadratic
Consider the factors of the constant term (+ 35) which sum to give the coefficient of the x- term (- 12)
The factors are - 5 and - 7, since
- 5 × - 7 = 35 and - 5 - 7 = - 12, thus
x² - 12x + 35 = (x - 5)(x - 7) and
x³ - 12x² + 35x = x(x - 5)(x - 7) ← in factored form
Answer:
16
Step-by-step explanation:
21.60 divided by 1.35=16