From house to his job as a janitor, you can walk in a straight line. In the afternoon he has to stop twice on his way home. His first stop is at the bodega to get something to eat. The bodega is exactly halfway between his house and the school. The second stop will be at OWL Barbershop for his haircut. The OWL Barbershop location partitions the way from Wilfred’s house and job in the ratio 3:1. The coordinates of his house are H (-3, -4) and his job coordinates are J(5, 0). Please use B to represent the Bodega and O to represent OWL Barbershop.
Answers
Answer:
The coordinates of Bodega is B(1,-2)
The coordinates of OWL Barbershop is O(3,-1)
Step-by-step explanation:
Coordinates of House H = (-3,-4)
Coordinates of Job J= (5,0)
His first stop is at the bodega to get something to eat. The bodega is exactly halfway between his house and the school.
Let B to represent the Bodega
Now to find coordinates of Bodega we will use use mid point formula since bodega is exactly halfway between his house and the school.
[tex]x=\frac{x_1+x_2}{2} , y = \frac{y_1+y_2}{2}\\(x_1,y_1)=(-3,-4)\\(x_2,y_2)=(5,0)\\x=\frac{-3+5}{2} , y = \frac{-4+0}{2}\\x=1, y = -2[/tex]
So, The coordinates of Bodega is B(1,-2)
Now we are given that The OWL Barbershop location partitions the way from Wilfred’s house and job in the ratio 3:1.
Le O to represent OWL Barbershop.
We will use section formula
[tex]x=\frac{mx_2+nx_1}{m+n} , y =\frac{my_2+ny_1}{m+n}\\(x_1,y_1)=(-3,-4)\\(x_2,y_2)=(5,0)\\m:n=3:1\\x=\frac{3(5)+1(-3)}{3+1} , y =\frac{3(0)+1(-4)}{3+1}\\x=3,y=-1[/tex]
So, The coordinates of OWL Barbershop is O(3,-1)
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Answer:
Multistage sampling divides large populations into stages to make the sampling process more practical.
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Let’s say you wanted to find out which subjects U.S. school children preferred. A population list a list of all U.S. school children would be nearimpossible to come by, so you cannot take a sample of the population.
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Answer:
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m<P= 119
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Step-by-step explanation:
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∫₁⁵ 2t (t² + t³) dt
Step-by-step explanation:
The area is ∫ₓ₁ˣ² y dx. To parameterize, replace x₁ and x₂ with t₁ and t₂. Replace y = f(x) with y = f(t), and replace dx with (dx/dt) dt.
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Answer:
rational
Step-by-step explanation:
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Answer:
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In mathematics, a rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Since q may be equal to 1, every integer is a rational number.
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Answers
Given parameters;
Let us solve this problem step by step;
Let us represent Simon's money by S
Kande's money by K
Simon has more money than KandeS > K
if Simon gave Kande K20, they would have the same amount;
if Simon gives $20, his money will be S - 20 lesser;
When Kande receives $20, his money will increase to K + 20
S - 20 = K + 20 ------ (i)
While if Kande gave Simon $22, Simon would then have twice as much as Kande;if Kande gave Simon $22, his money will be K - 22
Simon's money, S + 22;
S + 22 = 2(K - 22) ------ (ii)
Now we have set up two equations, let us solve;
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The statement "If x = 4, then y = -2" can be written as a conditional statement, where the hypothesis is "x = 4" and the conclusion is "y = -2".
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Answer:
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Step-by-step explanation:
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Answers
Answer:
Step-by-step explanation:
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Answers
Answer:
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Answers
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Step-by-step explanation:
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Answers
Answer:
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Answers
Answer:
10.80
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Given that,
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Here,
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In order to find the actual sales tax amount, we have to multiply the cost with the percentage of sales tax.
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= (6/100) 180
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= 10.8
Hence the sales tax amount is $10.8.
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Maria finds a shirt on the clearance rack. It's original price was $75, but now it only costs $15. Find the percent of
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Answers
Answer:
80 percent off
Step-by-step explanation:
First find the difference in cost (75-15=60)
then divide the difference by the original price 60/75=.8
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Answers
Answer:
7
Step-by-step explanation:
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