Problem 33
For each number, generate a factor tree. This is where you break a number down into smaller factors in a visual "tree" like style. The idea is to factor down to the prime factors and then you circle the common primes between each number. The values you circle are then multiplied if you circle more than one value in each tree.
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Problem 34
Xiao factored correctly but didn't pull out the GCF. So he didn't factor fully. In the case of 60 and 90, the GCF is 30. This is the largest shared factor between the two values. So we can pull out 30 to get
60+90 = 30*2+30*3 = 30*(2+3)
I'm basically using the distributive property in reverse. You can distribute the 30 back in and get 60+90 again. Notice how the inner stuff 2 and 3 have no factors in common other than 1.
<h3>The absolute error is 6</h3><h3>The percent error is 16.22 %</h3>
<em><u>Solution:</u></em>
Given that,
Actual volume of his bathtub is 37 gal
Estimate is 31 gal
<em><u>Find the absolute error</u></em>
Absolute Error = | Measured Value - Actual Value |
Absolute Error = | 31 - 37 |
Absolute Error = 6
<em><u>Find the percent error</u></em>

Substituting we get,

Negative sign means percent decrease
Thus percent error is 16.22 %
Answer:
Perpendicular slope is
or
.
Step-by-step explanation:
Given:
Let the perpendicular slope be x.
The given slope is 
For perpendicular slopes, the product of the slopes is equal to -1.
Therefore, 
Therefore, the perpendicular slope is
or
.
Answer:
12 dollers and 50 cents
Step-by-step explanation:
The intercepts of the graph are:
x-axis interception:
.
y-axis interception:
.
See the graph of the function
in the attached image.
<h3>
Constructing a graph</h3>
For constructing a graph we have the following steps:
- Determine the range of values for x of your graph.
For this exercise, for example, we can define a range -4<x<4. In others words, the values of x will be in this interval.
Replace these x-values in the given equation. For example:
When x=-4, we will have:
. Do this for the all x-values of your ranges.
See the results for this step in the attached table.
Mark the points <u>x</u> and<u> y</u> that you found in the last step. After that, connect the dots to draw the graph.
The attached image shows the graph for the given function.
<h3>
Find the x- and y-intercepts</h3>
The intercepts are points that crosses the axes of your plot. From your graph is possible to see:
x-axis interception points (y=f(x)=0) are:
.
y-axis interception point (x=0) is:
.
Learn more about intercepts of the graph here:
brainly.com/question/4504979