Answer:
2 3/4
7 9/16 ÷ 2 3/4 = 2.75
so 2.75 as a fraction is 11/4
then we simplify 11/4= 2 3/4
<span>The answer is (x</span>¹⁰<span>y</span>¹⁴<span>)/729.
Explanation:
We can begin simplifying inside the innermost parentheses using the properties of exponents. The power of a power property says when you raise a power to a power, you multiply the exponents. This gives us
[(3</span>³<span>x</span>³<span>y</span>⁻¹⁵<span>)/(x</span>⁸<span>y</span>⁻⁸<span>)]</span>⁻²<span>.
Negative exponents tell us to "flip" sides of the fraction, so within the parentheses we have
[(3</span>³<span>x</span>³<span>y</span>⁸<span>)/(x</span>⁸<span>y</span>¹⁵<span>)]</span>⁻²<span>.
Using the quotient property, we subtract exponents when dividing powers, which gives us
(3</span>³<span>/x</span>⁵<span>y</span>⁷<span>)</span>⁻²<span>.
Evaluating 3</span>³<span>, we have
(27/x</span>⁵<span>y</span>⁷<span>)</span>⁻²<span>.
Using the power of a power property again, we have
27</span>⁻²<span>/x</span>⁻¹⁰<span>y</span>⁻¹⁴<span>.
Flipping the negative exponents again gives us x</span>¹⁰<span>y</span>¹⁴<span>/729.</span>
Answer:
m = 2/3
b = -3
Step-by-step explanation:
Rearrange the equation to slope-intercept form (y = mx + b).
x and y are points on the graph.
m is the slope.
b is the y-intercept.
Isolate "y". This means separating it from the other numbers.
-2x +3y = -9
-2x + 2x +3y = -9 + 2x Add 2x to both sides
3y = 2x - 9
3y/3 = 2x/3 - 9/3 Divide both sides by 3
y = 2x/3 - 9/3 Simplify
y = (2/3)x - 3
Think about which numbers and "m" and "b" now that the equation is in y = mx + b. Include the plus and minus signs.
m = 2/3
b = -3
Answer:
0.1056
Step-by-step explanation:
Mean(μ) = 12 ounce
Standard deviation (σ) = 0.2 ounce
P(x<11.75) = ???
Let x be the random variable for the amount of soda a machine will dispense.
Using normal distribution
Z = (x - μ) / σ
Z = (11.75 - 12) / 0.2
Z = (-0.25)/0.2
Z = -1.25
From the normal distribution table
1.28 is 0.3944
Φ(z) is the tabular value of z
Φ(z) = 0.3944
Recall that when Z is negative
P(x<a) = 0.5 - Φ(z)
P(x < 11.75) = 0.5 - 0.3944
= 0.1056
The first thing you should know are properties of exponents to solve the problem.
For this case the radical form is given by the writing of the expression in the form of root.
We have then:
t^-3/4 =4^root(t^-3)=4^root ((1)/(t^3))
answer t^-3/4=4^root((1)/(t^3))
