Answer:
14,16
Step-by-step explanation:
Let x be the first even number.
Let y be the 2nd even number.
Given, y - x = 2 (Since they are 2 consecutive even numbers.)
rearranging the equation: y = x+2 (equation 1)
Also given,
(equation 2)
Now we can substitute equation 1 into equation 2 to find x.
Given the smaller even number x, is 14, we will substitute x into equation1 to find y, the bigger even number.
y = 14+2
= 16
Therefore the 2 numbers are 14 and 16.
Answer:
c. The circuit is most likely defective, but it might be good
Step-by-step explanation:
A hypothesis test is being conducted, where electrician uses an instrument to test whether or not an electrical circuit is defective.
The instrument sometimes malfunctions, it fails to detect that a circuit is good and working.
Null hypothesis = H₀ = Circuit is good and works (not defective)
Alternative hypothesis = Ha = Circuit is not good and doesn't work (defective)
If the electrician rejects the null hypothesis, then it means that the circuit is most likely to be defective, but it might be good since the instrument sometimes malfunctions and fails to detect that the circuit is good. Therefore, option C is the correct option.
He would earn $125.80 in one day and $12,580 after 100 days
Answer: 70 meters
Step-by-step explanation:
Hi, since the situation forms a right triangle and a rectangle, we have to apply the Pythagorean Theorem (for the triangle)
c^2 = a^2 + b^2
Where c is the hypotenuse of the triangle (the longest side) and a and b are the other sides.
Replacing with the values given:
65^2 = 16^2 + x^2
4,225 = 256 + x^2
4,225-256 = x^2
3,969=x^2
√3,969 =x
63=x
We have calculated the missing side of the triangle, now we have to add the height of the rectangle:
63 +7 =70 meters
Feel free to ask for more if needed or if you did not understand something.
Answer:
1/4(1 - 3x)
Step-by-step explanation:
Step 1: Write out expression
1/4 - 3/4x
Step 2: Factor out GCF
1/4(1 - 3x)
