Answer:
cos P = 71.09
Step-by-step explanation:
cos = 
cos P = 
cos P = 0.324
cos-1 of 0.324 is 71.09
cos P = 71.09
Answer:
C
Step-by-step explanation:
7 - 2 = 5
11 - 3(2)
11 - 6 = 5
4(2) - 3
8 - 3 = 5
C is the only one that doesn't equal 5
Total: 54
Boys: 36
Girls: x
54 - 36 = x
x = 18
There would be 18 girls at the swim meet
The change is decay and the percentage rate of decrease will be 95%.
An exponential function is a function where a number is raised to the variable i.e. base is raised to the exponent times.
Here given the exponential function is y= 4300(0.042)ˣ
Now we have to identify if the change in exponential function represents growth or decay, and have to determine the percentage rate of increase or decrease.
Here in the exponential function, the base is less than 1 so the change is decay.
The equation represents exponential decay because the decay factor is lesser than 1.
The general form of the exponential equation is:
y(x)= a(1-r)ˣ such that r is the decay.
equating with the equation
y= 4300(0.042)ˣ
a= 4300
and 1-r=0.042
⇒r= 1-0.042
⇒r= 0.958
the perecentage of decay will be r*100= 0.958*100= 95%
Therefore the change is decay and the percentage rate of decrease will be 95%.
Learn more about exponential function
here: brainly.com/question/2046253
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Answer:
2x - 3y = 18
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange 2x - 3y = - 3 into this form by subtracting 2x from both sides
- 3y = - 2x - 3 ( divide all terms by - 3 )
y = 
x + 1 ← in slope- intercept form
with slope m =
Parallel lines have equal slopes, thus
y = x + c ← is the partial equation
Given the y- intercept = 6, then
y = x + 6 ← equation in slope- intercept form
Multiply through by 3
3y = 2x + 18 ( subtract 3y from both sides )
0 = 2x - 3y + 18 ( subtract 18 from both sides )
2x - 3y = - 18 ← equation in standard form
