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Paladinen [302]
3 years ago
7

a student is solving a system of equations by substitution and comes up with the solution -3 = 2. assuming that she solved the p

roblem correctly, which of the following can be said about this system of equations? the system has exactly 1 solution. the system has exactly 2 solutions. the system has infinitely many solutions. the system has no solution.
Mathematics
1 answer:
lesya692 [45]3 years ago
6 0
Because -3 = 2 in not mathematically possible, the system has no solutions.
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Brandy took 3 friends out for dinner. The cost of the meal was 46.15 she left the 20% tip what was the total cost including the
slega [8]

Answer: $55.35


Step-by-step explanation:

if the bill is $46.15, round it up to $46. Twenty percent of that is $9.20, found by moving the decimal point one place left. Add $9.20 to $46.15, and you get $55.35

i hope this is correct and it helps :)

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When y is positive, the value of y squared is ALWAYS greater than the value of y.
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Evaluate 12-x for x=5.<br> O 12<br> 7<br> O 17
bezimeni [28]

Answer:

7

Step-by-step explanation:

12-x

Let x = 5

12-5

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3 0
3 years ago
Given vectors u = ⟨2, –3⟩ and v = ⟨1, –1⟩, what is the measure of the angle between the vectors?
oksano4ka [1.4K]

Answer:

The measure of the angle between the vectors = Ф = 11.30°

Step-by-step explanation:

Given

  • u = ⟨2, –3⟩
  • v = ⟨1, –1⟩

\mathrm{Computing\:the\:angle\:between\:the\:vectors}:\quad \cos \left(\theta \right)\:=\frac{\vec{a\:}\cdot \vec{b\:}}{\left|\vec{a\:}\right|\cdot \left|\vec{b\:}\right|}

Next, find the lengths of the vectors:

\mathrm{Computing\:the\:Euclidean\:Length\:of\:a\:vector}:\quad \left|\left(x_1\:,\:\:\ldots \:,\:\:x_n\right)\right|=\sqrt{\sum _{i=1}^n\left|x_i\right|^2}

u = ⟨2, –3⟩

\:\:\left|u\right|\:=\sqrt{2^2+\left(-3\right)^2}

     =\sqrt{13}

u = ⟨2, –3⟩

|v|=\sqrt{1^2+\left(-1\right)^2}

    =\sqrt{2}

Finally, the angle is given by:

\mathrm{Computing\:the\:angle\:between\:the\:vectors}:\quad \cos \left(\theta \right)\:=\frac{\vec{a\:}\cdot \vec{b\:}}{\left|\vec{a\:}\right|\cdot \left|\vec{b\:}\right|}

cos (Ф) = 5/√26

Ф = arc cos (cos (Ф)) = arc cos (5 √26) / (26)

Ф = 11.30°

Thus, the measure of the angle between the vectors = Ф = 11.30°

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Answer:

422.734 fluid ounces

Step-by-step explanation:

For the approximate result you have to multiply the volume value by 19.215

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