Answer:
7
Step-by-step explanation:
When working with order of operations, use the acronym 'PEMDAS' (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)
The equation should basically be done in that order.
There are no parenthesis,
no exponents,
But there IS multiplication.
1 x 10 = 10.
So now, what is left over is 10 - 3.
There addition, but there IS subtraction.
10 - 3 = 7.
7 is what is left over.
Therefore, 1 x 10 - 3 in standard form is 7.
16 n^2 -10n + 129 = 8n^2 -8
We collect the terms:
8n^2 -10n + 137 = 0
The steps for completing the square:
1) Move the "non X" (or "non N") term to the right:
8n^2 -10n = -137
<span>2)<span> Divide the equation by the coefficient of N² which in this case is 8
n^2 -1.2n = </span></span><span><span>-17.125
</span>
3) Take the coefficient of "N"; divide it by 2; square it; add it to both sides of the equation.
-1.2 / 2 = -.6
-.6^2 = .36
</span>
n^2 -1.2n +.36 = <span>-17.125
+.36
Take the square root of both sides:</span>
(n-.6)*(n-.6) = sq root(
<span>
<span>
<span>
-16.765
</span>
</span>
</span>
)
That's about as far as I can go.
Answer:
12 black beads
Step-by-step explanation:
Given the ration of gold beads to black beads on the short necklace:
Since the ratio of 4:1 has 5 total parts, you can take the total amount of beads in the long necklace and divide by 5:
60 ÷ 5 = 12
12 beads represents 1 part of the ratio, so that would be the number of black beads. To check, multiply 12 by 4: 12 x 4 = 48, and set up a ratio:
48: 12 = 4: 1
Using the equation which models weight of cat in terms of amount of food fed, the weight of the cat will be : 151.11 ounces
<u>Given the equation</u> :
- <em>g = Amount of food in grams </em>
<u>Substituting g = 13 into the equation</u> :
W = 0.86(13)² - 0.01(13) +5.9
W = 0.86(169) - 0.13 + 5.9
W = 145.34 - 0.13 + 5.9
W = 151.11 ounces
Therefore, the weight of the cat will be 151.11 ounces
Learn more : brainly.com/question/18796573
