A city planner wants to construct a new road south of Town Hall and north of the Community Center. The city planner currently has the road plotted as a set of parallel lines as shown on the map. However, the current plan for the road would cover a historical marker. ( please help )


Which transformation should the city planner apply to this road so that it preserves the historical marker and still passes south of Town Hall and north of the Community Center?

translate the road up 2 units

translate the road up 4 units

translate the road down 2 units

translate the road down 4 units

Answer:

Equation: y = ⅐x

Rate of change: ⅐

Distance = 10 miles

Step-by-step explanation:

Given

The information in the above table

Solving (a): The equation

To get the equation, we need to first calculate the slope (m)

Take any two corresponding values of x and y

(x1,y1) = (7,1)

(x2,y2) = (21,3)

m = (y2 - y1)/(x2 - x1)

m = (3 - 1)/(21 - 7)

m = 2/14

m = ⅐

The equation is calculated using

y - y1 = m(x - x1)

Substitute values for m, x1 and y1

y - 1 = ⅐(x - 7)

y - 1 = ⅐x - 1

Add 1 to both sides

y = ⅐x

Solving (b) Rate of change:

The calculated slope in (a) above represents the rate of change.

So:

Rate of change = Slope = ⅐

Solving (c): Distance when time is 70 minutes

This implies that x = 70

Substitute 70 for x in y = ⅐x

y = ⅐ * 70

y = 10 miles

Answer:

reproductive

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

becaue i siad so

Answer:

$38

Step-by-step explanation:

I solved this by doing a proportion, 41.04/108 = x/100 to find the original price before the 8% tax. To solve this proportion you have to isolate the variable, so you would do the cross product and multiply (41.04 x 100) and have that equal to 108x. So then because you have 108x = 4104, isolate x by dividing by 108 and you get 38, thus $38.

You can also check your work by multiplying 38 by 0.08 to find the amount of sales tax added, and if you do this you will get the value $41.04.

A percentage is a number or ratio that represents a fraction of 100. 

If an item costs $41.04, including an 8% sales tax then the cost of the item before the tax is $37.76.

A percentage is a number or ratio that represents a fraction of 100. 

Example:

50% = 50/100 = 1/2

20% = 20/100 = 1/5

25% = 25/100 = 1/4

10% = 10/100 = 1/10

5% = 5/100 = 1/20

We have,

Cost of an item including tax = $41.04

Sales tax = 8%

8% = 8/100

The cost of the item without the sales tax:

= 41.04 - (8% of 41.04)

= 41.04 - (8/100 x 41.04)

= 41.04 - 3.2832

= 37.76

Thus,

The cost of the item before the tax is $37.76.

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Answer:

8

Step-by-step explanation:

a+6=14

a=14-6

a=8

Therefore

8+6=14

Answer

The answer is2600000

Answer:

A dialation is an enlargment or reduction of a figure. The size changes. To find dilation, multiply each point by a scale factor(k). (x, y)➡(kx, ky)

Ex. scale factor is 3

(2, 5)➡(6, 15)

Step-by-step explanation:

I just learned this.

Answer:

The standard error of the mean is 0.02

Step-by-step explanation:

Here, we want to calculate the standard error of the mean.

Mathematically;

standard error of mean = SD/ √n

where SD is the standard deviation and n is the number of samples

From the question, SD = 0.22 and n = 121

Inserting this into the equation

Standard error of the mean = 0.22/√121

= 0.22/11 = 0.02

The probability of obtaining a sample mean is "0.9545".

According to the question,

Mean,

[tex]\mu = 4[/tex]

Standard deviation,

[tex]\sigma = 0.22[/tex]

Random sample,

[tex]n = 121[/tex]

By Central limit theorem,

→ [tex]\bar {x} \sim (4, \frac{0.22}{\sqrt{121} } )[/tex]

     [tex]= 0.2[/tex]

Now,

→ [tex]P(|\bar{x} - \mu| \ \alpha \ 0.04) = P(-0.04 \ \alpha \ \bar{x} - \mu \ \alpha \ 0.04)[/tex]

                               [tex]= P(\frac{-0.04}{0.02} \ \alpha \ z \ \alpha \ \frac{0.04}{0.02} )[/tex]

                               [tex]= P(-2 \ \alpha \ z \ \alpha \ 2)[/tex]

                               [tex]= 0.9545[/tex]

Thus the above response i.e., "option a" is appropriate.

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Answer:

1/3 and false at least i think wait for other answer to make sure it is correct

Step-by-step explanation:

2cup=6$

Im sorry if it isnt good.

Answer:

just by looking at the graph you can see that the y int is one, so that eliminates two answers already. Then the slope is rise over run. (best thing to remember in math. rise over run) so pick two points. (0, 1) and (4,0) were the first ones i saw. to get from those two points you go from (0,1) over 4 (thats your run) and from there down 1 (thats your rise) to get to (0,4). You would then do rise over run (and because your rise goes down its negative) to get -1/4 as your slope. The answer is slope= -1/4, Y intercept = 1

Answer:what he said is true

Step-by-step explanation:

hope this helps

Answer:

Following are the solution to this question:

Step-by-step explanation:

Given:

[tex]\ Mean = 0.54 \times 555 \\[/tex]

           [tex]= 299.7[/tex]

[tex]SD = 11.74[/tex]

In point a:

[tex]\to Z = \frac{(338 - 299.7)}{11.74}[/tex]

       [tex]= \frac{(38.3)}{11.74}\\\\= 3.26[/tex]

[tex]\to P = 0.000557\\\\\to \% = 0.06 \%[/tex]

In point b:

[tex]\to Z = \frac{(285 - 299.7)}{11.74}[/tex]

       [tex]= \frac{(-14.7)}{11.74}\\\\= -1.25\\[/tex]

[tex]\to P = 0.8944\\\\\to \% = 89.44 \%[/tex]

In point c:

[tex]\to 48\% \times 555 = 266.4\\\\\to Z = \frac{(266.4 - 299.7)}{11.74}\\\\[/tex]

       [tex]= \frac{(-33.3)}{11.74}\\\\= -2.83[/tex]

[tex]\to P = 0.002256\\\\\to \% = 0.23 \%[/tex]

Answer:

The discount is $20 off or 50% off.

Step-by-step explanation:

It is easy math.

Answer:

Step-by-step explanation:

Table P

Table Q

Table R

Table S

Answer:

3

Step-by-step explanation:

It's 61/21. That's the answer.

Answer:

Step-by-step explanation:

What is the value of this expression if h = 8,7 = -1, and k = -12? 13 20​

Answer:

1) d

2) 97.5 miles

3)I am unsure on

Step-by-step explanation:

1) d=65t means that it is moving 65 miles per that amount of time (in this case using mph)

2) you take your equation "d=65t" and fill in your time (1.5) 65(1.5)=97.5

3) I don't know but possibly 2.5 minutes? (65/25) but I'm not sure I'm sorry

The probability that the card that you draw is a black 7 or a black 8 is 1/13

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.

P(E) = Number of favorable outcomes / total number of outcomes

So, the probability that the card that you draw is a black 7 = 4/52

So, the probability that the card that you draw is a black 8 =  2/26

Therefore,

the probability that the card that you draw is a black 7 or a black 8 =  4/52 - 2/26 = 1/13

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Answer:

18/28, or percentage wise, approximately 64.2%

Step-by-step explanation:

Take the seniors and divide it by the total # of students, and you got your probability!

Answer:

404.8

Step-by-step explanation:

100%=460

12%=x

x=(12*460)/100

x=55.2

Answer=460-x

Answer:

[tex]m=\frac{3}{2}[/tex]

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (-4, -2)

Point (0, 4)

Step 2: Find slope m

And we have our final answer!

Answer:

D is the answer.

Step-by-step explanation:

Y is going up by 3, while x is going up by 2. 3 over 2, which is the last answer.

we now its 3/2 because of the formula rise/run (rise over run).

Answer:

1

2

4

Step-by-step explanation:

Answer:

[tex]\sqrt{1}, \sqrt{4}, \sqrt{9}[/tex]

Step-by-step explanation:

First, remember that rational numbers either terminate or have repeating decimals. Those three are the only answers with perfect squares, [tex]\sqrt{1} = 1, \sqrt{4} = 2, \sqrt{9} = 3[/tex]. As you can see all of these answers terminate and therefore are rational, the rest go one forever while never repeating.

Answer:

The poll uses voluntary response, so the results tell us little about the population of all adults.

Step-by-step explanation:

I took the test

The one which is true would be; C poll uses voluntary response, so the results tell us little about the population of all adults.

If the sample size is given to be n < 30, then for finding the confidence interval for mean of population from this small sample, we use t-statistic.

Let the sample mean given as [tex]\overline{x}[/tex] and

The sample standard deviation s, and

The sample size = n, and

The level of significance = [tex]\alpha[/tex]

About 59% of the 45,000 people responded as "Yes" to the question

The sample size is n = 45,000.

The sample proportion is p = 0.59.

The sample selected is a voluntary sample, such that the individuals provided their responses voluntarily. So, the sample is not a true representative of the population.

Thus the results tell us little about the population of all adults because of the large sample size.

The correct option is C poll uses voluntary response, so the results tell us little about the population of all adults.

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