Answer:
81
Step-by-step explanation:
Given the expression: 
To make it a perfect square, we follow the following steps.
Divide the coefficient of x by 2
- Coefficient of x=18, 18/2=9
Square It
Add it to the expression
This is written as a perfect square as: 
The constant term required therefore is 81.
Answer:
31.5 in
Step-by-step explanation:
- Volume of a hemisphere = (2/3)
r³
(where r is the radius)
- Volume of a cylinder = r²h
(where r is the radius and h is the height)
- radius r = (1/2) diameter
First, find the volume of the scoop using the volume of a hemisphere formula with r = 21:
Volume = (2/3) x 21³ = 6174 in³
Now equate the found volume of the scoop to the equation of the volume of a cylinder with r = 14, and solve for h:
14²h = 6174
196h = 6174
Divide both sides by : 196h = 6174
Divide both sides by 196: h = 31.5
Therefore, the height of the molten steel in the storage tank is 31.5 in
4a = 36
to solve for a, divide both sides by 4 to get a by itself.
<u>4a</u> = <u>36
</u> 4 4
<u>
</u>a = 9
Answer:
$2,373.23
Step-by-step explanation:
-Tax refund is determined by comparing your total income tax to the amount that was withheld for federal income tax.
-Assuming that the amount withheld for federal income tax was greater than your income tax for the year, you will receive a refund for the difference.
#Refund =Withheld -Actual Tax liability=$15345.21-$12971.98=$2,373.23
Hence James' tax refund will be $2,373.23
Answer:
B. y = -2/3x + 12
Step-by-step explanation:
Formula to find the slope when given two points on a line:
<u>y</u><u>2</u><u> </u><u>-</u><u> </u><u>y</u><u>1</u>
x2 - x1
Substitute the two given points (6, 8) (9, 6):
<u>6</u><u> </u><u>-</u><u> </u><u>8</u>
9 - 6
Slope = -2/3x
We found the slope! And the answer choices already gave us one y-intercept, which is 12. The last thing we do is we form an equation with the information we solved and that was given to us.
y = slope (x) + y-intercept
y = -2/3x + 12
The answer choice that matches this equation is B.
In conclusion, the equation that best estimates the line of best fit shown above is answer choice B.
