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Andru [333]
2 years ago
13

Consider the three functions below.

Mathematics
1 answer:
Nikolay [14]2 years ago
7 0

Answer:

Again just like in your previous problem your formatting is not clear, if you could provide f(x) and g(x) that would be great

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A motorboat can go 16 miles downstream on a river in 20 minutes. It takes 30 minutes for this boat to go back upstream the same
Katyanochek1 [597]

Answer:

A) d = 48t, d in miles, t in hours

B)d = 32t, d in miles, t in hours

C)y = 8 mph

Step-by-step explanation:

16 miles in 20 mins = 48 mph

16 miles in 30 mins = 32 mph

The boat speed is the average = (48 + 32)/2 = 40 mph

The current is the difference = 8 mph

7 0
2 years ago
In the adjoining figure, XY = XZ . YQ and ZP are the bisectors of <img src="https://tex.z-dn.net/?f=%20%5Cangle" id="TexFormula1
svetlana [45]

Answer:

See Below.

Step-by-step explanation:

Statements:                                              Reasons:

1)\, XY=XZ                                              Given

2) \text{ $ m\angle Y= m\angle Z$}                                        Isosceles Triangle Theorem

\displaystyle 3) \text{ $m\angle Y=m\angle XYQ + \angle QYZ$}                  Angle Addition

\displaystyle 4)\text{ $YQ$ bisects $\angle XYZ$}                               Given

5) \text{ $m\angle XYQ=m\angle QYZ$}                           Definition of Bisector

\displaystyle 6)\text{ $m\angle Y=2m\angle QYZ$}                               Substitution

7)\text{ $m\angle Z=m\angle XZP+m\angle PZY$}              Angle Addition

8)\text{ $ZP$ bisects $\angle XZY$}                              Given

\displaystyle 9) \text{ $m\angle XZP=m\angle PZY$ }                          Definition of Bisector

\displaystyle 10) \text{ $ m\angle Z = 2m\angle PZY $}                            Substitution

11)\text{ } 2m\angle QYZ=2m\angle PZY                    Substitution

12)\text{ }m\angle QYZ=m\angle PZY                        Division Property of Equality

13)\text{ } YZ=YZ                                         Reflexive Property

14)\text{ } \Delta YZP\cong\Delta ZYQ                             Angle-Side-Angle Congruence*

15)\text{ } YQ=ZP                                         CPCTC

*For clarification:

∠Y = ∠Z

YZ = YZ (or ZY)

∠PZY = ∠QYZ

So, Angle-Side-Angle Congruence:

ΔYZP is congruent to ΔZYQ

5 0
2 years ago
Read 2 more answers
Create a list of six values where the mean, median, and mode are 45, and only two of the values are the same.
tresset_1 [31]
10 30 45  45 48 55, 55-10=45=mode median and mean
Hope this helps
6 0
3 years ago
4d^-3 multiplyed by d^18
Verdich [7]
4*d^(-3)*d^18 = 4*d^(18-3) = 4*d^(15).  The trick here is to combine the exponents.

Another way to write this problem would be:

4*d^18
---------- .  Here d^18 divided by d^3 results in d^15, so again the final 
  d^3         answer is 4*d^15.
6 0
2 years ago
The director of a community recreation center conducted a six-week study to examine the effects of four types of exercise—streng
Olin [163]

Answer: The treatments in the study are strength training, flexibility training, aerobics, and jogging.

Step-by-step explanation:

A correct description of a feature of the study is that the treatments in the study are strength training, flexibility training, aerobics, and jogging.

It should be noted that the study has no replication. Also, the experimental units are the 40 members that participated.

Therefore, the correct option is D.

4 0
2 years ago
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