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RoseWind [281]
1 year ago
7

Mr. Edwards is replacing an existing fence on his farm that is 6 feet high. Reliable Fence Company charges $8,000 for building m

aterials and $225 per foot of fencing. The function y = $225x + $8,000 represents the total charge. ABC Fence Company bases the total charges solely on the length of the fence. The table shows some input and output values for various lengths of fencing. Which statement BEST compares the price of fencing per foot for the two companies?
Mathematics
1 answer:
Phoenix [80]1 year ago
3 0

Answer:

ABC Fence Company charges $35 more per foot of fencing.

Step-by-step explanation:

ABC charges $35 more per foot of fencing.; The slope of each function represents the rate per foot of fencing.

Reliable Fence Company: y = $225x + $8,000 → $225 per foot of fencing. ABC Fence Company:  

$29,200 − $24,000

20

= $260 per foot of fencing

$260 − $225 = $35; therefore, ABC charges $35 more per foot of fencing.

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^ Casey was able to map line segment UV onto line segment ST using a translation and a rotation.
yarga [219]

Answer:

A. The correct conclusion is that the segments are congruent and similar.

Step-by-step explanation:

Congruent figures are also similar because when all sides are equal, they are in the same ratio too (i.e 1 : 1)

4 0
2 years ago
What are the differences among an experiment, a study, and a survey? Complete the explanation of the differences by selecting th
artcher [175]

Answer:

The full question is

<em>What are the differences among an experiment, a study, and a survey? </em>

<em> </em>

<em>1. In an observational study, randomization of subjects ______ </em>

<em>A. occurs </em>

<em>B. does not occur </em>

We understand randomization as a random process of assigning experimental subjects to treatment groups. Through this process, we have more control about variables which are not related to the experiment.

In an observational study, the researcher doesn't change anything, he or she studies the events as they are, without using any randomization process.

Therefore, the right answer here is B.<em> </em>

<em />

<em>2. A survey _______ </em>

<em>A. poses no interference on subjects </em>

<em>B. makes inferences about a population </em>

<em> </em>A survey poses no interference on subjects, actually if it does, then that survey is not reliable. An important charactersitic of a survey is that it must be objective, that way it will be reliable enough to use it in the research.

Therefore, the right answer is A.

<em />

<em>3. In an experiment, ___________ to discern differences in a response variable. </em>

<em>A. treatment is imposed </em>

<em>B. inferences are made </em>

<em>C. randomization does not occur</em>

Experiments are characterized by having certain "stimulus" at least in one group of subjects, that way researches compare data sets to prove their hypothesis.

Therefore, the right answer here is A.

<em />

8 0
2 years ago
Which angle In ABC has the largest measure ?
Rus_ich [418]

The angle with the largest measure is opposite the longest side. The longest side is 12. It is opposite angle B. The appropriate choice is ...

B. ∠B

4 0
2 years ago
Read 2 more answers
A gardener uses a tray of 6 conical pots to plant seeds. Each conical pot has a radius of 3 centimeters and a depth of 8 centime
olga_2 [115]
I think 452cm^3
Voulme of one cylinder times 6
7 0
1 year ago
Read 2 more answers
If EBC = 31a - 2 and EBH = 4a + 45 find HBC
Zigmanuir [339]

Answer:

The measure of angle HBC is m∠HBC=61°

Step-by-step explanation:

In this problem we have that

The line BH bisects angle EBC,

see the attached figure to better understand the problem

then

m∠EBC=m∠EBH+m∠HBC

m∠EBH=m∠HBC

so

m∠EBC=2(m∠EBH)

substitute the given values and solve for a

31a-2=2(4a+45)\\31a-2=8a+90\\31a-8a=92\\23a=92\\a=4

<em>Find the measure of angle EBH</em>

m∠EBH=(4(4)+45)=61°

Remember that

m∠EBH=m∠HBC

therefore

The measure of angle HBC is m∠HBC=61°

8 0
2 years ago
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