Answer:
Step-by-step explanation:
Y = -1/4x+6, when y= 4
Same as saying
4 = -1/4x+6 , where y = 4
Multiply both sides by (4x+6)
4(4x+6) = -1
Opening the parentheses
16x + 24 = -4
16x = -4-24
16x = -28
Divide both sides by 16
X = -28/16
X = - 7/4
Ans = -7/4
<h3>
Answer: 4</h3>
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Explanation:
For now, ignore the variables. Let's just focus on the coefficients 12 and 16.
The GCF of 12 and 16 is 4 because this is the largest factor they have in common.
12 = 4*3
16 = 4*4
You could create a factor tree to get the prime factorization of each number
12 = 2*2*3
16 = 2*2*2*2
Each factor tree has two copies of '2' leading to the GCF 2*2 = 4.
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Now let's go back to the variables. The term 12n and 16w^3 do not have any variables in common. So the final answer won't have any variables in it. If both terms had say a 'w' in them, then w would somehow be involved in the GCF. But that's not the case here. So we just stick to 4 as our answer.
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Side note: If you had 12n+16w^3 and you wanted to factor, then you would factor out the GCF 4 to get 12n+16w^3 = 4(3n+4w^3). Use the distribution rule to confirm this.
Answer:
1220.4
Step-by-step explanation:
S.I.=P×R×T÷100
=6000×4.52×4 1/2÷100
=6000×4.52×9÷2×100
=60×4.52×9÷2
=30×4.52×9
=1220.4
Answer:
C.
Step-by-step explanation:
0.00000628
0000006.28×10^-6
F(x)=(2/3)x^1.5
The centroid position along the x-axis can be obtained by
integrating the function * x to get the moment about the y-axis,
then divide by the area of the graph,
all between x=0 to x=3.5m.
Expressed mathematically,
x_bar=(∫f(x)*x dx )/(∫ f(x) dx limits are between x=0 and x=3.5m
=15.278 m^3 / 6.1113 m^2
=2.500 m