Answer:
x=5 x=3
Step-by-step explanation:
x^2 – 8x + 15
What two numbers multiply to 15 and add to -8
-5*-3 = 15
-5 +-3 = -8
(x-5) (x-3) =0
Using the zero product property
x-5 =0 x-3 =0
x=5 x=3
To convert our number to scientific notation, we are going to move the decimal point to the right until we have only one non-zero digit to the left of the decimal point, and then, we are going to multiply that number by a negative power of 10 equal to the number of times we moved the decimal point to the right:
<span>
Our number is 0.000000016, so we need to move the decimal point 8 times to the right to have </span>only one non-zero digit to the left of the decimal point (1.6). Since we moved the decimal point eight times to the right, we are going to multiply 1.6 by y a negative power of 10 equal to the number of times we moved the decimal point to the right i.e.

.
So 0.000000016 expressed in scientific notation is 1.6x

, or in calculator notation 1.6E-8
We can conclude that the correct answers are <span>
1.6E-8 and </span><span>
1.6 × 10-8</span>
Answer:
Step-by-step explanation:
Statements Reasons
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1. ∠V ≅ ∠Y Given
2. WZ bisects ∠VWY Given
3. ∠VWZ ≅ ∠YWZ Definition of Angle Bisector (2)
4. WZ ≅ WZ Reflexive Property
5. ΔVWZ ≅ ΔYWZ AAS Theorem (1,3,4)
**In case you didn't know the definitions**
Angle Bisector - A line, segment or ray that divides an angle into two congruent angles
Reflexive Property - X = X
AAS Postulate - If two angles and a non-included side of one triangle are congruent to the corresponding parts of another triangle, then the triangle's are congruent
Answer:
Step-by-step explanation:
In costing analysis, direct materials, labour and direct expenses aggregate to prime cost. Alternately, the aggregate of indirect materials, labour and expenses is termed as overhead. Overheads are classified into fixed and variable.
Variable overhead is one which varies directly as per number of units produced
Variable overhead rate variance = actual costs -(AHxSR)
= Actual costs - (Actual hours x std rate)
= Actual hours x actual rate - actual hours x std rate
Hence option D is right.
Answer:
1/3 + 3/8 = 17/24
Step-by-step explanation:
LCD is 24
3*8 = 24
8*3 = 24
3/24 + 9/24 = 17/24