Answer:
4096
Step-by-step explanation:
(x^5-y^2)^2+x^3
first, we simplify the expression.
x^10-y^4+x^3
x^13-y^4
then, we substitude the x and y
x^13-y^4
(2)^13-(8)^4
8192-4096
which is
4096
Answer:
p - 6 = -14
p = -8
If someone confuses the order, p might be 20, But here I am going to choose p= -8
Step-by-step explanation:
The difference between a number p
and 6 is −14.
The difference between a number p and 6 = -14
I replace "is" with an equal sign
p - 6 = -14
so
p = 6 - 14
p = -8
it can be confused as 6 - p = -14, p = 20
For this case we have a function of the form:
![y = A * (b) ^ x ](https://tex.z-dn.net/?f=y%20%3D%20A%20%2A%20%28b%29%20%5E%20x%0A)
Where,
A: initial amount
b: decrease rate (b <1)
x: independent variable
Y: dependent variable
We observed that,
Intersection with y axis: (0, 60)
Decreasing function (b <1): b=1/3
Answer:
Exponential function that decreases as the domain values increase.
Answer:Option A is correct.
y-2=0
Step-by-step explanation:
Option A is correct.
General form of the equation of the line: y-2 = 0
Step-by-step explanation:
The general form of the equation is given by:
y = mx +b where m is the slope and b is the y-intercept.
y-intercepts of the line is the value of y at the point where the line crosses the y-axis(i.e x= 0)
From the given figure;
we can see that the line crosses the y-axis at y =2 and also here the slope is , m= 0
therefore, by definition of y-intercepts
y-intercept (b) = 2
Therefore, the equation of line as shoen in figure is:
y = (0)x + 2
or
y = 2
y-2 = 0
Therefore, the general form of the equation line as shown in the figure is:
y-2 =0
Answer:
![\frac{\sqrt{3}}{11}>\frac{\pi }{24}>\frac{3}{25}>\frac{9}{100}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B3%7D%7D%7B11%7D%3E%5Cfrac%7B%5Cpi%20%7D%7B24%7D%3E%5Cfrac%7B3%7D%7B25%7D%3E%5Cfrac%7B9%7D%7B100%7D)
Step-by-step explanation:
To get the order of the lengths in the order from greatest to least we will make the denominator of the given fractions common and then compare the numerators.
![\frac{3}{25}, \frac{\sqrt{3}}{11}, \frac{9}{100},\frac{\pi }{24}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B25%7D%2C%20%5Cfrac%7B%5Csqrt%7B3%7D%7D%7B11%7D%2C%20%5Cfrac%7B9%7D%7B100%7D%2C%5Cfrac%7B%5Cpi%20%7D%7B24%7D)
LCM of the denominators,
2 |<u> 25 11 100 24 </u>
2 |<u> 25 11 50 12 </u>
5 |<u> 25 11 25 6 </u>
5 |<u> 5 11 5 6 </u>
<u> 1 11 1 6 </u>
LCM = 2×2×5×5×6×11 = 6600
![\frac{3}{25}=\frac{3}{25}\times \frac{264}{264}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B25%7D%3D%5Cfrac%7B3%7D%7B25%7D%5Ctimes%20%5Cfrac%7B264%7D%7B264%7D)
![=\frac{792}{6600}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B792%7D%7B6600%7D)
![\frac{\sqrt{3}}{11}=\frac{\sqrt{3} }{11}\times \frac{600}{600}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B3%7D%7D%7B11%7D%3D%5Cfrac%7B%5Csqrt%7B3%7D%20%7D%7B11%7D%5Ctimes%20%5Cfrac%7B600%7D%7B600%7D)
![\frac{9}{100}=\frac{9}{100}\times \frac{66}{66}](https://tex.z-dn.net/?f=%5Cfrac%7B9%7D%7B100%7D%3D%5Cfrac%7B9%7D%7B100%7D%5Ctimes%20%5Cfrac%7B66%7D%7B66%7D)
![=\frac{594}{6600}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B594%7D%7B6600%7D)
![\frac{\pi }{24}=\frac{\pi }{24}\times \frac{275}{275}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cpi%20%7D%7B24%7D%3D%5Cfrac%7B%5Cpi%20%7D%7B24%7D%5Ctimes%20%5Cfrac%7B275%7D%7B275%7D)
![=\frac{275\pi }{6600}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B275%5Cpi%20%7D%7B6600%7D)
![=\frac{864}{6600}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B864%7D%7B6600%7D)
Now we can arrange these fractions in the order of greatest to least.
![\frac{1039}{6600}>\frac{864}{6600}>\frac{792}{6600}>\frac{594}{6600}](https://tex.z-dn.net/?f=%5Cfrac%7B1039%7D%7B6600%7D%3E%5Cfrac%7B864%7D%7B6600%7D%3E%5Cfrac%7B792%7D%7B6600%7D%3E%5Cfrac%7B594%7D%7B6600%7D)
![\frac{\sqrt{3}}{11}>\frac{\pi }{24}>\frac{3}{25}>\frac{9}{100}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B3%7D%7D%7B11%7D%3E%5Cfrac%7B%5Cpi%20%7D%7B24%7D%3E%5Cfrac%7B3%7D%7B25%7D%3E%5Cfrac%7B9%7D%7B100%7D)