Answer:
248=W+65
Step-by-step explanation:
to find W subtract 65from both sides of the equation to get W=183
Answer:
3 x 0.8 = 2.4
Step-by-step explanation:
3 × ? = 24 tenths
3 x ? = 2.4
? = 0.8
3 x 0.8 = 2.4
Answer: For the sum of 130
First: $90
Second: $40
Step-by-step explanation:
We write equations for each part of this situation.
<u>The Total Charge</u>
Together they charged 1550. This means 1550 is made up of the first mechanics rate for 15 hours and the second's rate for 5 hours. Lets call the first's rate a, so he charges 15a. The second's let's call b. He charges 5b. We add them together 15a+5b=1550.
<u>The Sum of the Rates</u>
Since the first's rate is a and the second is b, we can write a+b=130 since their sum is 130.
We solve for a and b by substituting one equation into another. Solve for the variable. Then substitute the value into the equation to find the other variable.
For a+b=130, rearrange to b=130-a and substitute into 15a+5b=1550.
15a + 5 (130-a)=1550
15a+650-5a=1550
10a+650-650=1550-650
10a=900
a=$90 was charged by the first mechanic.
We substitute to find the second mechanic's rate.
90+b=130
90-90+b=130-90
b= $40 was charged by the second mechanic
Answer:
Option B.
Step-by-step explanation:
In a regression of y in x, the proportion oh the variation in y explained by the variable x is shown in the R-squared value. So, for answering this question we need to look at the R-squared of such regression.
In this case the R-squared is 98.9% (or 0.989), so we will the option that matches this value. Looking at your options, the one that matches the R-squared is option B.
So, B is the correct option.
Answer:
Equation of movement y(t)
Amplitude: 1 inch
Period: 0.628 seconds
Step-by-step explanation:
If there is no friction, the amplitude will be the length it was streched from the equilibrium. In this case, this value is 1 inch
The period depends on the mass and the spring constant.
The formula for the period is:
The model y(t) for the movement of the mass-spring system is
