Given:
The equation is:
To find:
The value of n in terms of x.
Solution:
We have,
It can be written as
![[\because a^ma^n=a^{m+n}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20a%5Ema%5En%3Da%5E%7Bm%2Bn%7D%5D)
On comparing the exponents, we get
Add 1 on both sides.
Divide both sides by 2.
Therefore, the value of n is terms of x is 
.
Step-by-step explanation:
tan30 = 14/x
x = 14tan30
x = -89.7
Answer:
47.10
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you that ...
... Cos = Adjacent/Hypotenuse
The value y is the length of the hypotenuse, and the given length 35 is the side adjacent to the given angle. Thus, the cosine relationship will be helpful.
Filling in the given values, we have ...
... cos(42°) = 35/y
Multiplying by y/cos(42°), we can find y to be ...
... y = 35/cos(42°) ≈ 35/0.7431
... y ≈ 47.10
Y will be approximately 47.10 in length
Step-by-step explanation:
we will use this form that we memorized in our schools ............. SOH CAH TOA
CAH means , Cos ∅= Adjacent/Hypotenuse
Given values
∅ =42°
hypotenuse= y
adjacent side length = 35
now putting in our values into
Cos ∅= Adjacent/Hypotenuse
OR
cos(42°) = 35/y
by multiplying y on both sides we get
y= 35/cos( 42°)
cos(42°)= 0.743
so y= 35/0.743
y = 47.10632
OR
y ≈ 47.10
Answer:
Step-by-step explanation:
The negative reciprocal of 4 is -1/4.
Let's substitute in our values, to find the y-intercept:
Finally, our full equation is:
Answer:
D. decreases the demand for money.
Step-by-step explanation:
Money demand and interest rate has an inverse relationship.
An increase in the interest rate decreases the demand for money. An increase in the price of bonds results in a lower interest rate.
When the interest rate increases, an individual's opportunity cost for holding his money increases. In this condition, the person chooses to hold more bonds, thereby demanding less money.
