Answer:
Step-by-step explanation:
The domain of a function is all possible values for x.
There are restrictions on x.
The square root of a number can be undefined if that number is less than 0.
The value of x is all real numbers greater than or equal to 0.
Answer:
b. 5:3
c. 20:12 or 20 cups of flour and 12 eggs
d. 10 cups of flour
e. 9 eggs
Step-by-step explanation:
b. take one point from each number line and simplify it (example 15:9) and simplify it so you get your ratio of (5:3)
c. our ratio for one batch of cookies is 5:3 so mulitply 4 on both sides to find 4 batches of cookies
d. look at your numberline that represents number of eggs, 6 aligns with the number 10 on the numberline that shows "flour in cups" making your answer 10 cups of flour.
e. same thing as the problem before look at your numberline that shows cups of flour (which in this problem its 15) and see where that aligns on the "number of eggs" numberline above.
Answer: (-4,-3)
Step-by-step explanation:
Answer:
The difference is <em>2 inches</em>
Step-by-step explanation:
Firstly, we identify the equation as given in the question;
y = 1.42105x - 32.2632
We need to know which of the two is the dependent variable i.e y-value and which is the independent variable x-value between the brothers' heights and the sisters' heights. To do this, we have to start with an assumption and check which of the two is for the brothers' or for the sisters,
Let's say the brothers' heights is x, we select any of the data points; (68,64)
we input this into the line of best fit equation; 64 =1.42105(68) - 32.2632 = 96.6314-32.2632= 64.3682
We can see the value on the left hand side of the equation correlates with that on the right hand side. This confirms our assumption that the brothers' heights refer to the independent variable x.
Now, let's plug the values for the 71 inches heights
y = 1.42105(71) - 32.2632 = 68.63 approximately 64
In the table, we can see that the predict sister height at that particular data point is 71 inches. The difference between the predicted height and the actual height is thus 71-69 = 2 inches
To solve this problem, we will subtract the volume of the cylinder from the volume of the rectangular prism.
The volume of a cylinder is: pi*r^2*h
Substitute 2 in for r and 6 in for h. If the diameter is 4, then the radius is 2.
pi*2^2*6
pi*4*6
pi*24
=75.4 ft^2
The volume of the rectangular prism is: l*w*h.
Substitute 6 in for l, w and h, since all edges are equal.
6*6*6
36*6
=216 ft^2
Subtract 75.4 from 216
216-75.4=140.6
There is 140.6 cubic feet of concrete left in the block.
