Answer:
4x² -20x +61
Step-by-step explanation:
the quadratic equation can be written as (x-root1)(x-root2)
(x-(5/2) -3i) (x-(5/2)+3i), distribute
x² -(5/2)x +3xi -(5/2)x + 25/4 -(15/2)i -3xi +(15/2)i -9i², simplify
x² -(5/2)x -(5/2)x + 25/4 -9i², use the fact that i² =(√-1)² = -1 and substitute i²
x² -(5/2)x -(5/2)x + 25/4 +9, combine like terms and rewrite 9 as 36/4
x² -(10/2)x +25/4 + 36/4, combine like terms and simplify
x² -5x +61/4 is the quadratic expression yet it does not have integer coefficients so multiply by 4 to have all coefficients integers
4x² -20x +61
5x + 3 = 38
5x = 38 + 3
5x = 35
x = 35/5
x = 7
The area of the region that is not shaded in the diagram is determined through the following solution:
<span>A = <span>(1 − (<span><span>60°/</span><span>360°</span></span>)*</span>π) * (10 ft ) ^<span>2</span></span>
<span>A = <span>56*</span>π*100 [<span>ft2</span>]</span>
<span><span>A = <span>250/3 </span>π [<span>ft2</span>]
A = 262 [ft2]</span></span>
Answer:
sila put a wrong number in her calculator when multiplying the numerators
Step-by-step explanation:
Sila jogged 12 kilometers today and wants to know how far she traveled in feet. what error did sila make while converting from kilometers to feet?
StartFraction 12 kilometers Over 1 EndFraction times StartFraction 0.62 miles Over 1 kilometer EndFraction times StartFraction 5280 feet Over 1 mile EndFraction = 392,832 feet
sila put a wrong number in her calculator when multiplying the numerators.
1 km sila's first fraction should be 0 62 mi 1 mi
sila's last fraction should be 5280 ft
sila forgot to divide by 0 62 asap
(12kilometers / 1 ) × (0.62 miles / 1 kilometer) × 5280 / 1 mile
12 kilometers = 39,370.079 feet
1 kilometer = 0.621 miles
sila put a wrong number in her calculator when multiplying the numerators
Answer:
a) The variable of the study is: milligrams of nitrogen per liter of water.
This is the amount that needs to be measured and analyzed to reach conclusions in the study.
b) The variable is quantitative. The quantitative variables are those that represent quantities. This variables can be measured on a continuous or discrete scale. Then, all the variables that you can measure or count are quantitative variables(height of trees, number of passengers per car, wind speed, milligrams of nitrogen per liter, etc). On the other hand, qualitative variables are those that can’ t be measured, and they represent attributes, like apple colors (red, green), size of trousers (small, medium, large) and so on.
c) The population under study is the milligrams of nitrogen per liter of water that are in the entire lake. You can estimate the parameters of the population by taking samples (In the example, 28 samples are taken).
