Alexis worked for 59 hours, Becca worked for 74 hours and Cindy worked for 152 hours.
Step-by-step explanation:
Given,
Total hours worked by three of them = 285 hours
Let,
x represent the hours of Alexis.
y represent the hours of Becca.
z represent the hours of Cindy.
According to given statement;
x+y+z=285 Eqn 1
Alexis worked 15 hours less than Becca.
x = y-15 Eqn 2
z = 2y+4 Eqn 3
Putting value of x and z from Eqn 2 and 3 in Eqn 1

Dividing both sides by 4

Putting y=74 in Eqn 2

Putting y=74 in Eqn 3

Alexis worked for 59 hours, Becca worked for 74 hours and Cindy worked for 152 hours.
Keywords: linear equation, division
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Answer:
12
Step-by-step explanation:
Using the 30-60-90 triangle formula side AB would be double of side CB.
Correlation coefficient helps us to know how strong is the relation between two variables. The strength of the model is a strong positive correlation.
<h3>What is the correlation coefficient?</h3>
The correlation coefficient helps us to know how strong is the relation between two variables. Its value is always between +1 to -1, where, the numerical value shows how strong is the relation between them and, the '+' or '-' sign shows whether the relationship is positive or negative.
- 1 indicates a strong positive relationship.
- -1 indicates a strong negative relationship.
- A result of zero indicates no relationship at all, therefore, independent variable.
Hence, the strength of the model is a strong positive correlation.
Learn more about Correlation Coefficients:
brainly.com/question/15353989
Step-by-step explanation:
this sequence is geometric not arithmetic
HOw we know that ??
when we get a common difference that must Be equal
d=6-2=4 not equal to d=18-6=12
So it is not arithmetic
but when we get the common ratio that also must be equal
r=6/2=18/6=54/18=3 equal
So it is geometric
By using this equation:
a(n)=a(1)*r^(n-1)
and we have a(1)=2 , r=3
<u>Explicit rule:</u> a(n)=2*(3)^(n-1)
<u>Recursive rule:</u> a(n)= r * a(n-1)
a(n-1) ⇒ priviuse term
SO: a(n)= 3 * a(n-1)
For example:
a(3)= 3 * 6 =18
<em>I really hope this helps <3</em>
When b = 1 a^3 - b^2 = 3^3 - 1^2 = 26.