We have,
(2y)^3 × y^-1
Simplify the term (2y)^3
= 8y^3 × y^-1
Now, multiply the terms with the same base y by adding their exponents.
Note: Using exponent product rule x^y × x^z = x^(y+z)
= 8y^{3+(-1)}
= 8y^(3-1)
= 8y^(3-1)
= 8y^2
Answer:
Step-by-step explanation:
Ok, so i cant really awnser all the questions on that page but a very important thing to know is that it is proportinal if the layout is y=mx. the m is usually replaced with something else though. So for that first question, its proportianal. Try your best to turn those story problems into equations and then see if it matches the y = mx equation if not, its not
Answer:
8 oz.
Step-by-step explanation:
I say this because, initial value means the value at the start. The candle starts at 8 oz. therefore it is the initial value. The reason it is the weight and not the time is because the weight is the dependent variable.
3x - 3y + 2z = 7
3x + 1y - 3z = -5 ⇒ 6x - 2y - 1z = 2 ⇒ 42x - 14y - 7z = 14
7x - 1y - 2z = 0 ⇒ 7x - 1y - 2z = 0 ⇒ <u>42x - 6y - 12z = 0 </u>
-20y - 19z = 14
-20y + 20y - 19z = 14 + 20y
<u /> <u>-19z</u> = <u>14 + 20y</u>
-19 -19
z = -14/19 - 1 1/19y
3x - 3y + 2(-14/19 - 1 1/19y) = 7
3x - 3y - 1 9/19 - 2 2/19y = 7
3x - 5 2/19y - 1 9/19 = 7
<u> +1 9/19 +1 9/19 </u>
3x - 5 2/19y = 8 9/19
3x - 3x - 5 2/19y = 8 9/19 - 3x
<u /> <u>-5 2/19y</u> = <u>8 9/19 - 3x</u>
-5 2/19 -5 2/19
y = -1 64/97 + 57/97x
3x - 3(-1 64/97 + 57/97x) + 2(-14/19 - 1 1/19y) = 7
3x + 4 95/97 + 1 74/97x - 1 9/19 - 2 2/19y = 7
4 74/97x - 2 2/19y + 3.5056972328 = 7
<u> -3.5056972328 -3.5056972328</u>
4 74/97x - 2 2/19y = 3.494302767
4 74/97x + 2 2/19y - 2 2/19y = 3.494302767 + 22/19y
<u>4 74/97x</u> = <u>3.494302767 + 2 2/19</u>
4 74/97 4 74/97
x = 0.7336523126 + 0.4420141262y
3(0.733652316 + 0.4420141262y) - 3(-1 64/97 + 57/97x) + 2(-14/19 - 1 1/19y)=7
2.200956948 + 1.326042379y + 4 95/97 - 1 74/97x - 1 9/19 - 2 2/19y = 7 -1 74/97x - 0.7792207789y + 5.706654181 = 7
<u> -5.706654181 -5.70665418</u>
-1 74/97x - 0.7792207789y = 1.293345820
(x, y, z) = (0.733652316 + 0.4420141262, -1 64/97 + 57/97x, -14/19 - 1 1/19y)
Answer:
The answer is 7
Step-by-step explanation:
We know than Tan45=1
Tanx=opp/adj
tan45=y/(7
)/2
Thus y=7/2
We know by pythagoras theorem that hyp^2=side^2+side^2
=(
+
=(49(2)/4)+(49(2)/4)
=(49/2)+(49/2)
=(98/2)
=49
x=7
