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 1

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.

\(x=\frac{x_1+x_2}{2} , y = \frac{y_1+y_2}{2}\\(x_1,y_1)=(-3,-4)\\(x_2,y_2)=(5,0)\\x=\frac{-3+5}{2} , y = \frac{-4+0}{2}\\x=1, y = -2\)

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

\(x=\frac{mx_2+nx_1}{m+n} , y =\frac{my_2+ny_1}{m+n}\\(x_1,y_1)=(-3,-4)\\(x_2,y_2)=(5,0)\\m:n=3:1\\x=\frac{3(5)+1(-3)}{3+1} , y =\frac{3(0)+1(-4)}{3+1}\\x=3,y=-1\)

So, The coordinates of OWL Barbershop is O(3,-1)

From House To His Job As A Janitor, You Can Walk In A Straight Line. In The Afternoon He Has To Stop

Related Questions

Given f(x)=14(5−x)2 what is the value of f(11)?

Answers

Answer:

f(x)=14(5−x)2

f(11)=14(5-11)2

f(11)=14*-6*2

f(11)=-84*2

f(11)= -168

Step-by-step explanation:

Answer:

it would be -82

Step-by-step explanation:

solve the system of equations using the elimination method
20x=16y-2
4y-2=-5x

Answers

Answer:

jujjjjjjjjjjjjjjjjjjjjjjj

Describe the behavior of the graph shown below.


A. The graph is increasing when x > 2.
B. The graph is increasing for all values of x.
C. The graph is decreasing for all values of x.
D. The graph is increasing when x > 0.

Answers

Answer:

where is the graph.........

The perimeter of a rectangle is 14 inches. The equation that represents the perimeter of the rectangle is 2l+2w=14, where l represents the length of the rectangle and w represents the width of the rectangle. Which value is possible for the length of the rectangle?
6 inches

7 inches

8 inches

9 inches

Answers

Answer:

6 inches

Step-by-step explanation:

6 inches is the only feasible answer because if the length is 6 inches, you have 6 + 6  which equals 12. This leaves 2 more units for the perimeter so the width would be 1 unit. The other choices could not exist, because 7 x 2 is 14 (no units left for width, and the width of a rectangle cannot be 0), 8 x 2 is 16, and 9 x 2 is 18.

Find csc theta if sin theta = 4/5

Answers

Answer:

5/4

Step-by-step explanation:

csc theta is essentially 1/sintheta

so you can say that csc theta is 5/4.

another way to do this is to draw the right triangle and find the values of all the sides. this way you'll be able to find all the trig values of the triangle.

post a comment if you want any further guidance or help.

Let A be the set of whole numbers bigger than 3 and smaller than 10 and B the set of positive whole numbers smaller than
8. Which of the following sets is equal to A U B?

Answers

Answer:

A union B is 4,5,6,7!!!!!!!!........

A nurse works for a temporary nursing agency. The starting hourly wages for the six different work locations are $12.50, $11.75, $9.84, $17.67, $13.88, and $12.98. As the payroll clerk for the temporary nursing agency, find the median starting hourly wage.

Answers

100 dollars and 32 cents

Let (1=1,2,3, 4, 5, 6, 7, 8, 9, 10​

Let (1=1,2,3, 4, 5, 6, 7, 8, 9, 10

Answers

The list of elements in the sets are as follows:

A.  A ∩ B = {2, 9}

B. B ∩ C = {2, 3}

C. A ∪ B ∪ C = {1, 2, 3, 5, 7, 8, 9, 10}

D. B ∪ C = {2, 3, 5, 7, 9, 10}

How to find the elements in a set?

Set are defined as the collection of objects whose elements are fixed and can not be changed.

Therefore,

universal set = U = {1,2,3, 4, 5, 6, 7, 8, 9, 10​}

A = {1, 2, 7, 8, 9}

B = {2, 3, 5, 9}

C = {2, 3, 7, 10}

Therefore,

A.

A ∩ B = {2, 9}

B.

B ∩ C = {2, 3}

C.

A ∪ B ∪ C = {1, 2, 3, 5, 7, 8, 9, 10}

D.

B ∪ C = {2, 3, 5, 7, 9, 10}

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for
If a study determines the difference in average salary
subpopulations of mechanical engineers and civil
engineers is NOT significant, then the subpopulations
of mechanical and civil engineers are
different
salaries.
A
Guaranteed not to be earning
B
Not earning
C) Earning very
D Definitely earning

Answers

A mean is an arithmetic average of a set of observations. The correct option is B.

What is Mean?

A mean is an arithmetic average of a set of observations. it is given by the formula,

Mean = (Sum of observations)/Number of observations

The average pay does not differ significantly since the average wage for subpopulations is not significant. As a result,  the subpopulations of mechanical and civil engineers are Not earning different salaries.

Hence, the correct option is B.

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Sam and John live on the same street. John is 1 year older then twice Sam’s age. When you sum their ages you get37.How old are each of them

Answers

Answer:

15

Step-by-step explanation:

Answer:

12 and 25

Step-by-step explanation:

2x+1+x=3x+1

37-1=36

36/3=12

12*2+1=25 and 12

PLEASE HELP WILL MARK
!!BRAINLEST!! PLEASE DESPERATE!!!

PLEASE HELP WILL MARK!!BRAINLEST!! PLEASE DESPERATE!!!

Answers

Answer:

87, 4, 34

Step-by-step explanation:

A) x+15=102 x=87

B) x+21=7x-3

   24=6x  x=4

C) 2x+2+3x+8=180

    5x+10=180   5x=170

    x=34

Brainliest pls

Answer:

4, 87, 102

Step-by-step explanation:

mind

A study by Consumer Reports showed that 64% of supermarket shoppers believe supermarket brands to be as good as national name brands. To investigate whether this result applies to its own product, the manufacturer of a national name-brand ketchup asked a sample of shoppers whether they believed that supermarket ketchup was as good as the national brand ketchup.a. Formulate the hypotheses that could be used to determine whether the percentage of supermarket shoppers who believe that the supermarket ketchup was as good as the national brand ketchup differed from 64%.b. If a sample of 100 shoppers showed 52 stating that the supermarket brand was as good as the national brand, what is the p-value?c. At α= .05, what is your conclusion?d. Should the national brand ketchup manufacturer be pleased with this conclusion?Explain.

Answers

Answer:

Step-by-step explanation:

Given that:

A study is conducted and the study by Consumer Reports showed that 64% of supermarket shoppers believe supermarket brands to be as good as national name brands.

a)

Thus; we formulate the null and the alternative hypotheses as follows:

The proportion is ; \(\frac{64}{100}\) = 0.64

Null hypothesis:    \({H_0}:p = 0.64\)  

The Null hypothesis states that there is no evidence that “the percentage of supermarket shoppers believes that the supermarket ketchup is good as the national brand ketchup differ form 64%”.

Alternative hypothesis: \({H_a}:p \ne 0.64H\)

The Alternative hypothesis states that there is evidence that “the percentage of supermarket shoppers believes that the supermarket ketchup is good as the national brand ketchup differ form 64%”.

b)

The proportion of the population = 0.64

The sample size n = 100

The number of shoppers = 52  stating that the supermarket brand was as good as the national brand

The sample proportion \(\hat p = \frac{52}{100}\)

\(\hat p = 0.52\)

The z - value is calculated by the formula:

\(z = \dfrac{\hat p-p}{\frac{\sqrt{ p(1-p)}}{100 }}\)

\(z = \dfrac{0.52-0.64}{\frac{\sqrt{ 0.64(1-0.64)}}{100 }}\)

\(z = \dfrac{-0.12}{0.048 }}\)

z = -2.50

Since z = -2.50

the p-value = 2P(Z ≤ -2.50)

p-value = 2 × 0.0062

The p-value = 0.0124

c)

At  significance level,  ∝ = 0.05 ; The p-value = 0.0124

According to  the rejection rule, if p-value is less than 0.05 then we will reject null hypothesis at ∝ = 0.05

Hence, the p-value =0.0124 < ∝ (=0.05)

According to the reject rule; reject null hypothesis.

Conclusion: There is no evidence at all that the percentage of supermarket shoppers believes that the supermarket ketchup is good as the national brand ketchup differ form 64%.

d) we know that the significance level of ∝  = 0.05

The value\({z__{0.05}}\)  is obtained as:

\(P\left( {\left| Z \right| \le z} \right) = 0.05\)

Now; to determine Z ; we locate the probability value of 0.05 form the table of standard normal distribution. Then we proceed to the left until the  first column is reached and  the value is 1.90. Also , we move upward until we reach the top and the value is 0.06. Now; the intersection of the row and column results the area  to the left of z

This implies that :\(P(Z \leq -1.96)=0.05\)

The critical value for left tail is -1.96 and the critical value for right tail is 1.96.

Conclusion:

The critical value is -1.96 and the value of test statistic is - 2.50.  Here, we can see that  the value of test statistic is lesser than the critical value. Hence, we can be concluded that there is evidence that reject the null hypothesis.

Therefore, Yes, the national brand ketchup manufacturer is pleased with the conclusion.

Following are the solution to the given points:

For point a:

Calculation of the hypotheses:

Null hypothesis \(\ H_0:p=0.64 \\\\\)

Alternative hypothesis \(\ H_a : p \neq 0.64\)

For point b:

 Checking the value:  

\(\to np_0=100 \cdot 0.64=64>5\\\\\to n(1-p_0)=100\cdot(1-0.64)=100 \cdot 0.36= 36 > 5\)

Test statistic:

\(\to Z= \frac{0.52-0.64}{\sqrt{\frac{0.64 \times 0.36}{100} }}=-2.50\)

Since there are two-sided for the test. so, \(z=-2.50\) is negative.

Calculation of the P-value:  \(\to p=2P(z \leq -2.50)=2 \cdot 0.00621=0.01242<\alpha =0.05\)

For point C:

In this choice, the Null hypothesis value should be rejected.

For point D:

Evidence indicating the percent of supermarket customers who believe supermarket Ketchup is just as good as brand name Ketchup differs from 64%. As a result, the national brand Ketchup maker must be dissatisfied with this conclusion so because results could be applied to its product.

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Each side length of a triangle is 4 cm. What type of triangle is it?
☐ right
□acute
Equilateral
Isosceles

Answers

Answer: Equilateral

Step-by-step explanation:

It's equilateral because it says that each side of the triangle is 4cm. In simple words, all the sides of triangle are equal. Such a triangle is called an equilateral triangle.

Hope you understood.

To solve 1/3÷9, James thinks of dividing a loaf of bread into 3 equal parts, dividing one of those parts into 9 equal slices, and then eating one of those slices.
What fraction of the loaf of bread is James thinking about eating?

(Answer as a fraction)

Answers

It is 1/3 times by 1/9 because u flip the 9 so it is 1/27

which expresion has a valume of 7/12

Answers

Answer:

1/1 x 7/1 x 1/12

Is there any options?

Step-by-step explanation:

Answer:6/8 adding 1/4

Step-by-step explanation: Because im right probably

A cylinder and its dimensions are shown. One equation for calculating the volume of a cylinder is V = Bh, where B represents the area of the base of the cylinder. Which
expression can be used to find the value of B, in square centimeters, for this cylinder?
A
4x B TT(10.7)²
x
2m(11.6)
x
C 2m(10.7)
10.7 cm
DT(11.6)²
11.6 cm

Answers

The required expression that can be used to find the value of B is π(10.7)².

What is surface area?

The surface area of any shape is the area of the shape that is faced or the Surface area is the amount of area covering the exterior of a 3D shape.

Here,
The formula for the volume of a cylinder is V = Bh, where B represents the area of the base of the cylinder. To find the value of B, we can rearrange the formula as follows:

Since we know that, the base of the cylinder is a circle.
So the area of the base B =  area of the circle
or
area of the base B = πr²

Now substitute r = 10.7
area of the base = π(10.7)²

Thus, the required expression can be used to find the value of B is π(10.7)².

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Light travels at a speed of $1.9\ \times\ 10^5$ miles per second. How far, in miles, does light travel in $30$ seconds?

Answers

9514 1404 393

Answer:

  5.7×10^6 mi

Step-by-step explanation:

(1.9×10^5 mi/s) × (3.0×10^1 s) = 5.7×10^6 mi

_____

Additional comment

When I can see that the product will have a mantissa that has a value greater than 10 or less than 1, I like to adjust the factors so the mantissa of the product comes out in the range 1-10. Here, we could adjust 1.9 to 0.19, or 30 to 3.0. We chose the latter.

Moving the decimal point of 30.0 1 place to the left means we increase the corresponding exponent by 1 (from 0 to 1).  30.0×10^0 = 3.00×10^1

I'm having trouble grasping this one

I'm having trouble grasping this one

Answers

Answer:

- 50

Step-by-step explanation:

Given the equation :

2x³ - z

x = - 3 ; z = - 4

Substituting the values into the equation :

2(-3)³ - (-4)

-3³ = - 27

Hence,

2(-27) - (-4)

-54 + 4

= -50

2x³ - z at x = - 3 and z = - 4 is - 50

Please help! Will give brainliest

Please help! Will give brainliest

Answers

\(1.4 < \sqrt{2} < 1.5\hspace{5em}1.7 < \sqrt{3} < 1.8 \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{lllll} 1.7& < &\sqrt{3}& < &1.8\\\\ 1.7-\sqrt{2}& < &\sqrt{3}-\sqrt{2}& < &1.8-\sqrt{2}\\\\ 1.7-1.5& < &\sqrt{3}-\sqrt{2}& < &1.8-1.4\\\\ 0.2& < &\sqrt{3}-\sqrt{2}& < &0.4 \end{array}\)

we're subtracting the upper-bound of √2, so is the most we can subtract from 1.7, and we're subtracting the lower-bound of √2 from 1.8, that way the resultant is within range.

60 seconds in the ratio 1:3 ?

Answers

Answer:

15 seconds : 45 seconds

Step-by-step explanation:

60 / 1+3 = 60/4 = 15

15 x 1 = 15

15 x 3 = 45

so its 15:45

use average rates of change to generate a liner function model.

Answers

Answer:

To generate a linear function model using average rates of change, we need to have two points on the line. Let's suppose we have two points (x1, y1) and (x2, y2) on the line, where x2 > x1. Then the slope of the line, m, can be calculated as:m = (y2 - y1) / (x2 - x1)This represents the average rate of change of y with respect to x between the two points.Once we have the slope, we can use the point-slope form of the equation of a line to write the equation of the line:y - y1 = m(x - x1)where (x1, y1) is one of the points on the line.To simplify this equation, we can rearrange it to slope-intercept form, y = mx + b, where b is the y-intercept. We can solve for b by plugging in the coordinates of one of the points on the line:y1 = mx1 + bb = y1 - mx1Once we have m and b, we can write the equation of the line in slope-intercept form:y = mx + bHere's an example: Suppose we have the two points (2, 5) and (4, 9). The slope of the line between these two points is:m = (y2 - y1) / (x2 - x1) = (9 - 5) / (4 - 2) = 2Using point-slope form, we can write the equation of the line as:y - 5 = 2(x - 2)Simplifying, we get:y = 2x + 1So the linear function model generated using average rates of change is y = 2x + 1.

Step-by-step explanation:

Read the following prompt and type your response in the space provided.
Describe the relationship between the probability of an event and its complement.
If the probability of an event is 0.95, what is the probability of its complement?

Answers

The probability of the complement of the event is 0.05.

The complement of an event is the probability of that event not occurring. The relationship between the probability of an event and its complement is that they always add up to 1.

Therefore, if the probability of an event occurring is p, then the probability of its complement not occurring is 1-p.

In the case where the probability of an event is 0.95, the probability of its complement not occurring would be 1-0.95 = 0.05. This means that the probability of the complement of the event is 0.05.

This concept is important in probability theory and is used to calculate the probabilities of events and their complements. It allows us to consider all possible outcomes of a given situation and calculate the likelihood of each of them.

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Solve the inequality.
|6p+3|>15
A p<2 or p>−3
B p>−2 or p<3
C p<−2 or p>3
D p>2 or p<−3

Answers

Step-by-step explanation:

|6p + 3| > 15

6p = 15 - 3

6p = 12

divide both sides by 6

6p÷6 = 12 ÷ 6

p = 2

hence, p >2 or p < - 3

The parent exponential function of f(x)=2x has been transformed in the following ways:
-a vertical compression by a scale factor of 13
-a vertical translation of 3 units up
-and a horizontal translation of 3 units to the left

Answers

Answer:

The resulting expression is \(g(x) = \frac{1}{13}\cdot 2^{x+3}+3\). We include the graph of both functions, the red line represents the parent exponential function, whereas the blue line is for the resulting function.

Step-by-step explanation:

Statement is incomplete. The question is missing. We infer that question is: What is the resulting expression? Let \(f(x) = 2^{x}\), each operation is defined below:

Vertical compression

\(g(x) = k\cdot f(x)\), where \(0 < k < 1\). (1)

Vertical translation upwards

\(g(x) = f(x) + c\), where \(c > 0\). (2)

Horizontal translation leftwards

\(g(x) = f(x+b)\), \(b > 0\). (3)

Now, we proceed to transform the parent exponential function:

(i) A vertical compression by a scale factor of 13 (\(k = \frac{1}{13}\))

\(f'(x) = \frac{1}{13}\cdot 2^{x}\)

(ii) Vertical translation of 3 units up

\(f'' (x) = \frac{1}{13}\cdot 2^{x} + 3\)

(iii) Horizontal translation of 3 units to the left

\(g(x) = \frac{1}{13}\cdot 2^{x+3}+3\)

The resulting expression is \(g(x) = \frac{1}{13}\cdot 2^{x+3}+3\). We include the graph of both functions, the red line represents the parent exponential function, whereas the blue line is for the resulting function.

The parent exponential function of f(x)=2x has been transformed in the following ways:-a vertical compression

How do I Solve for h A=9h,h=

Answers

Answer:

h = height of the shape

Step-by-step explanation:

Solve -5(-5m + 5) = -2m – 4

Answers

Answer:

m=7/9

Step-by-step explanation:

-5(-5m+5)=-2m-4

25m-25=-2m-4      

25m+2m=-4+25

27m=21

÷ 27  ÷ 27     (divide both sides)

m=7/9 or .777 (infinite)

−2^6−(6)^2
uh its making me add more words so just ignore this

Answers

Answer:

-100

Step-by-step explanation:

we nuh care

-100 gang gang I think at least

find the commission. sales: $450 commission rate: 9%

Answers

$40.50¢

I used a website...

P is the midpoint of NO and equidistant from MN and MO. If M=8i+3j and no = 4i-5j Find MP​

Answers

The position vector of point P, MP, is given by MP = 6i - j.

To find the position vector of point P, which is the midpoint of NO, we can use the midpoint formula.

The midpoint formula states that the midpoint of a line segment with endpoints (x₁, y₁) and (x₂, y₂) is given by:

Midpoint (Mᵖ) = ((x₁ + x₂) / 2, (y₁ + y₂) / 2)

Let's find the position vector of point P using the given information:

Point N: N = 4i - 5j

Point O: O = 8i + 3j

Using the midpoint formula, we can find the coordinates of point P:

x-coordinate of P: (x₁ + x₂) / 2 = (4i + 8i) / 2 = 12i / 2 = 6i

y-coordinate of P: (y₁ + y₂) / 2 = (-5j + 3j) / 2 = -2j / 2 = -j

Therefore, the position vector of point P, MP, is given by:

MP = 6i - j

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Two similar circles are shown. The circumference of the larger circle, with radius OB, is 3 times the circumference of the smaller circle, with radius OA. Two circles are shown. The smaller circle has radius O A and the larger circle has radius O B. Radius OB measures x units. Which expression represents the circumference of the smaller circle with radius OA?

Answers

Answer:

{2 pi/3}x units

Step-by-step explanation:

i got it right on edg

Answer: Option B

{2 pi/3}x units

Step-by-step explanation:

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