Answer:
2.62
Step-by-step explanation:
![log_{b} \frac{b^{2}x^{\frac{5}{2} }}{\sqrt{y}}](https://tex.z-dn.net/?f=log_%7Bb%7D%20%5Cfrac%7Bb%5E%7B2%7Dx%5E%7B%5Cfrac%7B5%7D%7B2%7D%20%7D%7D%7B%5Csqrt%7By%7D%7D)
First, write the square root as exponent.
![log_{b} \frac{b^{2}x^{\frac{5}{2} }}{y^{\frac{1}{2}}}](https://tex.z-dn.net/?f=log_%7Bb%7D%20%5Cfrac%7Bb%5E%7B2%7Dx%5E%7B%5Cfrac%7B5%7D%7B2%7D%20%7D%7D%7By%5E%7B%5Cfrac%7B1%7D%7B2%7D%7D%7D)
Move the denominator to the numerator and negate the exponent.
![log_{b}(b^{2}x^{\frac{5}{2}}y^{-\frac{1}{2}})](https://tex.z-dn.net/?f=log_%7Bb%7D%28b%5E%7B2%7Dx%5E%7B%5Cfrac%7B5%7D%7B2%7D%7Dy%5E%7B-%5Cfrac%7B1%7D%7B2%7D%7D%29)
Use log product property.
![log_{b}(b^{2}) + log_{b}(x^{\frac{5}{2}}) + log_{b}(y^{-\frac{1}{2}})](https://tex.z-dn.net/?f=log_%7Bb%7D%28b%5E%7B2%7D%29%20%2B%20log_%7Bb%7D%28x%5E%7B%5Cfrac%7B5%7D%7B2%7D%7D%29%20%2B%20log_%7Bb%7D%28y%5E%7B-%5Cfrac%7B1%7D%7B2%7D%7D%29)
Use log exponent property.
![2 log_{b}(b) + {\frac{5}{2}}log_{b}(x) - {\frac{1}{2}}log_{b}(y)](https://tex.z-dn.net/?f=2%20log_%7Bb%7D%28b%29%20%2B%20%7B%5Cfrac%7B5%7D%7B2%7D%7Dlog_%7Bb%7D%28x%29%20-%20%7B%5Cfrac%7B1%7D%7B2%7D%7Dlog_%7Bb%7D%28y%29)
Substitute values.
![2(1) + \frac{5}{2}(0.36) - \frac{1}{2}(0.56) \\2.62](https://tex.z-dn.net/?f=2%281%29%20%2B%20%5Cfrac%7B5%7D%7B2%7D%280.36%29%20-%20%5Cfrac%7B1%7D%7B2%7D%280.56%29%20%5C%5C2.62)
Answer:
Kindly check explanation
Step-by-step explanation:
To compare the number of apples to oranges
Number of apples = 12
Number of oranges = 10
Number of apples in terms of oranges :
12 /10 = 1.2
Number of apples = 1.2(number of oranges)
If number of apples = x
Number of oranges = y
x = 1.2y
There are 1.2 times the number of apples than number of oranges.
Answer:
A.
Step-by-step explanation:
Answer:
The linear equation is y = 10 x
Step-by-step explanation:
Hi, to answer this question we have to analyze the information given:
- Rise rate = 10 ft per second
For each unit of time, we get ten units of height.
So, the linear equation is
y = 10 x
Where "y" is the height of the balloon after "x" seconds.
If we replace the variable x for a value we obtain the height.
For example, after 1 second:
y = 10 ft / sec x 1 sec
y = 10 feet
Feel free to ask for more if needed or if you did not understand something.
Answer:
320/80 +3 = c
Step-by-step explanation:
if she has $320 and each chair is $80, then dividing 320 by 80 will tell you how many chairs she can buy (4), plus 3 because she gets 3 chairs for free. it equals c because c is the total amount of chairs she gets