Answer:
sin 2x + cos x = 2 sin x cos x + cos x = (2 sin x + 1)cos x
Step-by-step explanation:
Given the expression: sin 2x + cos x,
then we can use the formula: sin 2x = 2 sin x cos x, which gives:
sin 2x + cos x = 2 sin x cos x + cos x = (2 sin x + 1)cos x
So there you have two expressions in terms of sin x and cos x, as requested. :D
The experimental research has two key advantages over correlational studies.
1. The possibility of random assignment
2. Causal connections can be assumed.
<h3>
What benefit does experimental research have over correlational research?</h3>
Correlational studies merely examine the data that already exists, whereas experimental studies give the researcher the opportunity to influence the study's factors. Researchers can make inferences about how changes in one variable affect changes in another through the use of experimental investigations.
The factors in a correlation study are out of the control of the researcher or research team. The researcher merely measures the information she discovers in the outside world. She can then determine whether changes in one are related to changes in the other, or if the two variables are correlated. In such a study, experimenters gather existing data and use statistical methods to examine it, such as economic statistics from governments. The findings of correlation studies can lead to hypotheses that can be verified through a more focused experimental one.
To learn more about correlational research visit:
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Answer:
flour $42 , bag of sugar $58
Step-by-step explanation:
let f represent flour and s represent sugar, then
7f + 5s = 584 → (1)
5f + 3s = 384 → (2)
Multiplying (1) by 3 and (2) by - 5 and adding will eliminate s
21f + 15s = 1752 → (3)
- 25f - 15s = - 1920 → (4)
Add (3) and (4) term by term to eliminate s , that is
- 4f = - 168 ( divide both sides by - 4 )
f = 42
Substitute f = 42 into either of the 2 equations and solve for s
Substituting into (1)
7(42) + 5s = 584
294 + 5s = 584 ( subtract 294 from both sides )
5s = 290 ( divide both sides by 5 )
s = 58
The cost of a bag of flour is $42 and cost of sugar is $58
1/8 + 3/4 = 1/8 + 6/8 = 7/8 (to the right)
1/8 - 3/4 = 1/8 - 6/8 = -5/8 (to the left)
Answers are 7/8 and -5/8.
<span>0.4 (5-56)=6-(36+2)+0+0
Let's follow the rule PEMDAS
=> </span><span>0.4 (5-56) = 6-(36+2)+0+0
=> </span><span>2 - 22.4 = 6-38+0+0
=></span><span>- 20.4 = -32
=> -20.4 + 32 = 11.6
=> 11.6 is the answer</span>
