Answer:
13
Step-by-step explanation:
-5 x 2 - 8x + 1
= -5 x 2 - 8(3) + 1
= -10 - (-23)
= 13
Answer:
P = 7.14%
The percentage of those 30 years or older that own an ipod is 7.14%
Step-by-step explanation:
Given;
Percentage of ipod owners Pi = 20%
Percentage who don't own ipod Pd = 100-20 = 80%
For age 30 or older;
Percentage of ipod owners who belong to this group
Po = 20% of Pi
Percentage who don't have an ipod but belong to this group Pu = 100-35% = 65% of Pd
The percentage of those 30 years or older that own an ipod is;
P = Po/(Po+Pu) × 100%
Po = 20% of Pi = 20% of 20% = 0.2×20 =4%
Pu = 65% of Pd = 65% of 80% = 0.65×80% = 52%
Substituting the values;
P = 4/(4+52) × 100%
P = 7.14%
Answer:
0.04 gallons in one mile
Step-by-step explanation:
Basically, you lose 2 in 50 miles. So in order to figure out how many you lose in one mile, you would take 2/50, which would give you 0.04.
The answer is h = 5 m, w = 2 m
The volume of a rectangle is: V = w * l * h (w - width, l - length, h - height)
A rectangle is square based, so: w = l
V = w * w * h = w² * h
<span>The width of a square-based storage tank is 3m less than its height: w = h - 3
V = 20 m</span>³
w² * h = 20
(h - 3)² * h = 20
(h² - 2 * h * 3 + 3²) * h = 20
(h² - 6h + 9) * h = 20
h² * h - 6h * h + 9 * h = 20
h³ - 6h² + 9h = 20
h³ - 6h² + 9h - 20 = 0
h * h² - 5h² - h² + 5h + 4h - 4*5 =0
(h * h² - 5 * h²) - (h * h - 5h) + (4*h - 4*5) =0
h²(h - 5) - h(h - 5) + 4(h - 5) = 0
(h - 5)(h² - h + 4) = 0
We have that one solution is:
h - 5 = 0
h1 = 5
Other two solutions are:
h² - h + 4 = 0
Quadratic equation is: ax² + bx + c = 0
![h_{2,3} = \frac{-b+/- \sqrt{ b^{2}-4ac } }{2a} = \frac{-(-1)+/- \sqrt{ (-1)^{2}-4*1*4 } }{2*1} = \frac{1+/- \sqrt{1-16} }{2} = \\ \\ = \frac{1+/- \sqrt{-15} }{2} = \frac{1+/- \sqrt{-1*15} }{2} = \frac{1+/- \sqrt{-1} * \sqrt{15} }{2}= \frac{1+/- i\sqrt{15} }{2} \\ \\ h_2 = \frac{1+ i\sqrt{15} }{2} \\ \\ h_3 = \frac{1- i\sqrt{15} }{2}](https://tex.z-dn.net/?f=h_%7B2%2C3%7D%20%3D%20%5Cfrac%7B-b%2B%2F-%20%5Csqrt%7B%20b%5E%7B2%7D-4ac%20%7D%20%7D%7B2a%7D%20%3D%20%5Cfrac%7B-%28-1%29%2B%2F-%20%5Csqrt%7B%20%28-1%29%5E%7B2%7D-4%2A1%2A4%20%7D%20%7D%7B2%2A1%7D%20%3D%20%5Cfrac%7B1%2B%2F-%20%5Csqrt%7B1-16%7D%20%7D%7B2%7D%20%3D%20%5C%5C%20%20%5C%5C%20%3D%20%5Cfrac%7B1%2B%2F-%20%5Csqrt%7B-15%7D%20%7D%7B2%7D%20%20%3D%20%5Cfrac%7B1%2B%2F-%20%5Csqrt%7B-1%2A15%7D%20%7D%7B2%7D%20%3D%20%20%5Cfrac%7B1%2B%2F-%20%5Csqrt%7B-1%7D%20%2A%20%5Csqrt%7B15%7D%20%7D%7B2%7D%3D%20%5Cfrac%7B1%2B%2F-%20i%5Csqrt%7B15%7D%20%7D%7B2%7D%20%20%20%20%20%5C%5C%20%20%5C%5C%20%0Ah_2%20%3D%20%5Cfrac%7B1%2B%20i%5Csqrt%7B15%7D%20%7D%7B2%7D%20%5C%5C%20%20%5C%5C%20%0Ah_3%20%3D%20%5Cfrac%7B1-%20i%5Csqrt%7B15%7D%20%7D%7B2%7D)
The only integer value is h1 = 5 m
h = 5 m
w = h - 3 = 5 - 3 = 2 m