Basically, you divide 3 1/4 by 1/4. To do that, you have to change the mixed number into an improper fraction. 3 1/4 as an improper fraction is 13/4. I was able to find that since you simply just multiply the denominator by the whole number, 4 x 3, which is 12, then add 12 to the numerator, 1, which is 13. Finally, the improper fraction is 13/4 (the denominator stays the same). Now, we can divide the fractions. One rule about fractions: dividing them is the same as multiplying them with the reciprocal of the other. Like say for example, the reciprocal of 1/5 is 5/1.
Let's solve:
13/4 divided by 1/4 =
13/4 x 4/1 = At this point, you just multiply them straight across.
52/4 = It's not simplified since both can still be divided. So, you simplify by finding the greatest common multiple of 52 and 4, which is 4. 52 divided by 4 = 13; 4 divided by 4 = 1.
52/4 = 13/1 = 13 (any numerator with the denominator of one is a whole number when simplified)
So if Julie needs 3 1/4 cups of oatmeal, she will use 13 of 1/4 cups of oatmeal. Answer's 13. :) I really hope I helped!
Answer:
Step-by-step explanation:
![\sqrt[3]{64}=\sqrt[3]{2*2*2*2*2*2}\\\\ =\sqrt[3]{2^{2}*2^{2}*2^{2}}\\\\=2^{2}=4](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B64%7D%3D%5Csqrt%5B3%5D%7B2%2A2%2A2%2A2%2A2%2A2%7D%5C%5C%5C%5C%20%3D%5Csqrt%5B3%5D%7B2%5E%7B2%7D%2A2%5E%7B2%7D%2A2%5E%7B2%7D%7D%5C%5C%5C%5C%3D2%5E%7B2%7D%3D4)
<h3>Answer: Choice A</h3><h3>y = (-2/3)x + 12</h3>
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Work Shown:
We will only focus on the two points that are on the regression line.
Those two points are (3,10) and (12,4)
Let (x1,y1) = (3,10) and (x2,y2) = (12,4)
Find the slope of the line through (x1,y1) = (3,10) and (x2,y2) = (12,4)
m = (y2 - y1)/(x2 - x1)
m = (4 - 10)/(12 - 3)
m = -6/9
m = -2/3
Plug m = -2/3 and (x1,y1) = (3,10) into the point slope formula
Solve for y.
y - y1 = m(x - x1)
y - 10 = (-2/3)(x - 3)
y - 10 = (-2/3)x + (-2/3)(-3) ... distribute
y - 10 = (-2/3)x + 2
y - 10 + 10 = (-2/3)x + 2 + 10 .... add 10 to both sides
y = (-2/3)x + 12
This matches up with what the graph shows because the regression line intersects 12 on the y axis, so the y intercept is 12.
y = (-2/3)x + 12 is in the form y = mx+b with m = -2/3 as the slope and b = 12 as the y intercept.
Answer:
$402,500
Step-by-step explanation:
Thats the answer thank me later ;)
Answer:
1. Quintic
2. -8x^5 + 10x^4
Step-by-step explanation:
1.
Quintic: Has a power of 5 for ex. -6x^(5) + 4x^3 + 3x^2 + 11
Cubic: x^(3) + 12x + 9
Quartic: x^(4) + 5x^3 - 6
Quadratic: x^(2) - x + 5
2.
-2x^2(-5x^2 + 4x^3)
(10x^4 - 8x^5) or (-8x^5 + 10x^4)
When multiplying numbers with exponents, multiply the numbers but add together the exponents.
I hope this helps!