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adell [148]
4 years ago
10

Please explain. Showing steps.

Mathematics
1 answer:
Anastaziya [24]4 years ago
7 0
Answer: < 8 , 1 >

Explanation:

1) The resultant of two vectors is their sum.

2) Given the coordinates of two vectors their resultant or sum is the sum of the corresponding coordinates.

3) This is how you do it:

< a, b > + < c, d> = < a + c, b + d>

4) For the given vectors:

< 3, 6 > + < 5, - 5 > = < 3 + 5 , 6 - 5 > = < 8, 1 >

Answer: < 8, 1 >
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9. Water is added to two containers for 20 minutes. The equations below model the ounces of
Anit [1.1K]

Answer:

792 ounces

Step-by-step explanation:

At the time when the containers hold the same amount of water the value of y in the equations is the same,  so

\large 62x+48=-2x^2+80x+120

Solve the quadratic equation:

\large 62x+48=-2x^2+80x+120\Rightarrow 2x^2-80x-120+62x+48=0\\\\2x^2-18x-72=0\Rightarrow x=\frac{-(-18)\pm\sqrt{(-18)^2-4(2)(-72)}}{2*2}=\\\\=\frac{18\pm\sqrt{324+576}}{4}=\frac{18\pm\sqrt{900}}{4}=\frac{18\pm 30}{4}

Take only the positive solution since x is positive (minutes)

\large x=\frac{18+30}{4}=\frac{48}{4}=12

Now, compute the amount of water y by replacing x = 12 in any of the two equations, for example in container A which is easier to calculate

y = 62(12) + 48 = 792

The correct answer is then 792 ounces

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3 years ago
Use the diagram to determine the base and the height of the triangle. The formula for the area of a triangle is A=bh/2
Arlecino [84]
The answer is 32ft. What you have to do is multiply 10 and 6.4 which equals 64. Then you take 64 and divide it by 2 and you get the answer of 32. The equation goes like this 10ft X 6.4ft = 64ft/ 64ft divided by 2 = 32ft. 
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Using the Properties of Equality, fill the blanks with the correct value to show the solution for y.
Andru [333]

Answer:

3(y - 2) = 18

3y - _6_ = 18

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3 0
4 years ago
Which expression has a value of 17?
Ivahew [28]
The second choice is the answer
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A six-sided die is rolled 120 times. Fill in the expected frequency column. Then, conduct a hypothesis test at the 5% level to d
borishaifa [10]

Answer:

Die is not fair given that  Pvalue< 0.05, hence we reject Null hypothesis

a) H0: Die = fair

b) Ha : Die ≠ fair

c) df = 5

Step-by-step explanation:

The expected frequency of every face values = 20

a) state Null hypothesis

H0: Die = fair

b) Alternate Hypothesis

Ha : Die ≠ fair

c) degree of freedom

df = ( n - 1 )

   = ( 6 - 1 ) = 5

n = sample size ( number of faces a die has )

Note : After conducting hypothesis test

Pvalue ≈  0.0026

test statistic ≈ 18.30

Hence we can conclude that die is not fair given that  Pvalue < 0.05, hence we reject Null hypothesis

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3 years ago
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