Bonita drove 8 miles from her home to the library, and then drove back.

Graph A shows her distance from home during the trip.
Graph B will show her distance from the library during the trip.

Complete each statement about Graph B.

The population of Gloomy Falls will decrease to approximately 816 residents after three years, due to a yearly decline of 4.5%.

The problem posed involves calculating the decreasing population of a town under a hypothetical scenario. Given that Gloomy Falls has a starting population of 937, and it decreases by 4.5% annually, we need to apply this percentage decrease over a three-year period. The formula to calculate the population after each year is: Population after n years = Initial population × (1 - rate of decrease)n, where n is the number of years.

So we calculate the population as follows:

After rounding, we can estimate that approximately 816 residents will be left after three years. This is purely a mathematical exercise and the scenario of a serial killer is just for illustrative purposes.

Answer:

2/3 b +1/3 a

Step-by-step explanation:

b+ 1/3(-b+a)

= b - 1/3b + 1/3a

= 2/3 b +1/3 a

I hope this was helpful, please mark as brainliest

Answer:

$129

Step-by-step explanation:

80 + 2(20) = 80 + 40 = 120

With tax: 100 + 7.5 = 107.5%

107.5/100 × 120

129

Answer:

129

Step-by-step explanation:

First find the cost for how much was purchased

boots: 80

2 shirts: 2*20 = 40

80+40 = 120

The tax is the cost times the tax rate

tax = 120 * 7.5%

      = 120 * .075

       9

The total cost is the cot plus the tax

total cost = 120+9

                 =129

Step-by-step explanation: Any function of the form f (x) = m x + b, where m is not equal to 0 is called a linear function. The domain of this function is the set of all real numbers. The range of f is the set of all real numbers. The graph of f is a line with slope m and y intercept b.

Answer:

144

Step-by-step explanation:

12X12 is also 12+12+12+12+12+12+12+12+12+12+12+12

Lets simplify that though.

12(10)+12(2) (since 10 plus 2 is 12)

120+24

144

The value of the expression 12 * 12 = 144

The meaning of the expression 12 * 12 could also be interpreted as adding 12 in 12 places.

We could rewrite as thus :

Adding the above would give a value of 144.

Hence, 12 * 12 = 144

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Answer:

y = 75x

Step-by-step explanation:

If the train travels 600 miles in 8 hours, 600/8 gives us the hourly rate.  600/8 = 75 mph

Therefore, y = 75x

Answer:  y = 75x

Answer:

Step-by-step explanation

(distance) = (rate) times ( time)

d=r times t

d= distance in miles

r= rate in mi/hr.

t=time in hours

r = 600/8

r = 75t

x=2 :)

2x+1-1=5-1

2x=4

2/2x=4/2

x=2

if you do the opposite on one side you gotta do it on the other :)))

Answer:

x=2

Step-by-step explanation:

2x+1+5   move constant to right-hand side and change its sing

2x+5-1 subtract the numbers

2x+4  Divide both sides of the equation by 2

Answer:

For any right triangle, the longest side is called the hypotenuse. Therefore, by Pythagorean theorem it is true that:

[tex]x^2=a^2+b^2[/tex]

Where:

x: Hypotenuse

a, b: The other two sides.

For instance, if we have a right triangle whose sides measure:

[tex]a=3 \\ \\ b=4[/tex]

Then, the hypotenuse can be found as:

[tex]x=\sqrt{3^2+4^2} \\ \\ c=\sqrt{25} \\ \\ c=5[/tex]

Answer:

144cm^3

Step-by-step explanation:

[tex]V=1/2bh\\V=1/2(8*3)(12)\\V=1/2(24)(12)\\V=12(12)\\V=144[/tex]

Answer:

In 1981 was the building worth double it’s value.

Step-by-step explanation:

Given : A townhouse in San Francisco was purchased for $80,000 in 1975. The appreciation of the building is modeled by the equation : [tex]A=80000(1.12)^t[/tex], where t represents time in years.

To find : In what year was the building worth double it’s value in 1975?

Solution :

The amount is $80,000.

The building worth double it’s value in 1975.

i.e. amount became A=2(80000).

Substitute in the model,

[tex]2(80000)=80000(1.12)^t[/tex]

[tex](1.12)^t=\frac{2(80000)}{80000}[/tex]

[tex](1.12)^t=2[/tex]

Taking log both side,

[tex]t\log (1.12)=\log 2[/tex]

[tex]t=\frac{\log 2}{\log (1.12)}[/tex]

[tex]t=6.11[/tex]

i.e. Approx in 6 years.

So, 1975+6=1981

Therefore, in 1981 was the building worth double it’s value.

The building was worth double its value in [tex]1975[/tex] around the year [tex]1981[/tex]

To determine in what year the building was worth double its value in [tex]1975[/tex], we need to set up the equation based on the appreciation model given:

[tex]\[ A = 80000 \times (1.12)^t \][/tex]

Here, [tex]\( A \)[/tex] represents the current value of the townhouse in dollars, and [tex]\( t \)[/tex] represents the time in years since [tex]1975.[/tex]

We want to find the year [tex]\( t \)[/tex] when the value [tex]\( A \)[/tex] is double the initial value of [tex]\$80,000[/tex]

[tex]\[ A = 2 \times 80000 = 160000 \][/tex]

Now, substitute [tex]\( A = 160000 \)[/tex] into the equation:

[tex]\[ 160000 = 80000 \times (1.12)^t \][/tex]

Divide both sides by [tex]80000[/tex] to solve for [tex]\( (1.12)^t \)[/tex]

[tex]\[ 2 = (1.12)^t \][/tex]

To solve for [tex]\( t \)[/tex], take the natural logarithm ([tex]ln[/tex]) of both sides:

[tex]\[ \ln(2) = \ln((1.12)^t) \][/tex]

[tex]\[ \ln(2) = t \times \ln(1.12) \][/tex]

Now, divide both sides by [tex]\( \ln(1.12) \)[/tex] to solve for [tex]\( t \)[/tex]:

[tex]\[ t = \frac{\ln(2)}{\ln(1.12)} \][/tex]

Using a calculator to find the approximate value:

[tex]\[ t = \frac{0.6931}{0.1178} = 5.88 \][/tex]

Since [tex]\( t \)[/tex] represents years after [tex]1975[/tex], we add this to [tex]1975[/tex] to find the year when the building was worth double its value in [tex]1975[/tex]:

[tex]\[ \text{Year} = 1975 + 5.88 = 1980.88 \][/tex]

In [tex]1981[/tex], the building was worth double its value in [tex]1975.[/tex]

Answer:

y = -3x + 2

Step-by-step explanation:

Parallel means same slope which is -3

Step 1:  Use point slope form

(y - y1) = m(x - x1)

(y - (-4)) = -3(x - 2)

y + 4 - 4 = -3x + 6 - 4

y = -3x + 2

Answer:  y = -3x + 2

Answer:

0

Step-by-step explanation:

The line y=3 has a zero slope (lays horizontal).

Answer:

Step-by-step explanation:

y=3 is parallel to x axis.

x axis and any line parallel to x axis has slope=0

Answer:

Part 1) Vertical line : [tex]x=1[/tex]

Part 2) Horizontal line :  [tex]y=-4[/tex]

Step-by-step explanation:

Part 1) Write the equation for the vertical line passing through the point (1,-4)

we know that

The equation of a vertical line (parallel to the y-axis) is equal to the x-coordinate of the point that passes through it

so

The x-coordinate is 1

therefore

The equation of the line is

[tex]x=1[/tex]

Part 2) Write the equation for the horizontal line passing through the point (1,-4)

we know that

The equation of a horizontal line (parallel to the x-axis) is equal to the y-coordinate of the point that passes through it

so

The y-coordinate is -4

therefore

The equation of the line is

[tex]y=-4[/tex]

Answer:

f(2)= 5

Step-by-step explanation:

Given f(x) = -x² + 1

f(2) = -2² + 1 = 4 + 1 = 5

f(2) means the value of x = 2

Hence we substitute the value of X into f(x) = -x² + 1

Answer:

7 1/6

Step-by-step explanation:

So first step, you subtract the two regular numbers like any other subtraction. 15-7 is 8. Now u have 8 - 5/6, so you change 8 into 7 6/6 - 5/6, since 6/6 is still 1. Now since you have a common denominator, you just subtract the fractions and get 7 1/6.

Answer:

a) 42%

b) 62%

Step-by-step explanation:

a) (73+32)/250 × 100 = 42

b) (32+123)/250 × 100 = 62

58% of shoppers do not have access to a computer at home, and 62% of shoppers do not have an e-mail account.

Let's first calculate the total number of shoppers. From the survey, 250 people were interviewed. We want to find (a) The percentage of shoppers who do not have computer access at home and (b) the percentage of shoppers who do not have an e-mail account.

(a) According to the table, the number of shoppers who do not have computer access at home is 22 + 123 = 145. The percentage can be calculated as 145/250 * 100 = 58%. Therefore, 58% of shoppers do not have computer access at home.

(b) The number of shoppers who do not have an e-mail account equals 32 + 123 = 155. The percentage is calculated in the same way, 155/250 * 100 = 62%. Therefore, the percentage of shoppers who do not have an e-mail account is 62%.

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Answer:

You would divide both sides by 0.05b, so that you would get h = A/0.05b

Step-by-step explanation:

SInce you are trying to isolate the variable, and the variable is being multiplied by 0.05b, you would simply do the opposite, or divide, in order to get h by itself.

Answer:

A=0.05bh  we divide both sides by "h"

A/h = .05b then we multiply both sides by 20

(20 A) / h = b

Step-by-step explanation:

Answer:

x y

-3 6

0 3

3 0

Step-by-step explanation:

The correct table of values for the equation y = -x + 3 is x; y; -3; 6; 0; 3; 3; 0.

Let's go through the steps to find the values of y for the given equation y = -x + 3 for the specified values of x:

1. For x = -3:

y = -(-3) + 3 = 6

2. For x = 0:

y = -(0) + 3 = 3

3. For x = 3:

y = -3 + 3 = 0

Therefore, the correct table of values is:

x     y

-3    6

0     3

3     0

The correct values are [tex]\(x \; y \; -3 \; 6 \; 0 \; 3 \; 3 \; 0\)[/tex].

For this case we must add the terms of the following expression:

[tex]6y \sqrt {a} + 7y \sqrt {a}[/tex]

It is noted that the terms are similar, so we can add:

We take common factor [tex]\sqrt {a}:[/tex]

[tex]\sqrt {a} (6y + 7y) =[/tex]

We add the terms within the parenthesis:

[tex]\sqrt {a} (13y) =[/tex]

finally we have:

[tex]13y \sqrt {a}[/tex]

Answer:

[tex]13y \sqrt {a}[/tex]

Answer:

D.) 13y sqrt a

Step-by-step explanation:

Answer:

(4 , 2)

Step-by-step explanation:

The solution of the graph is located where the two lines intersect. Remember, the x (horizontal line), is always first, and then followed by the y (vertical line).

The two lines intersect at (4, 2), making B) your answer.

~

Answer:15.808

Step-by-step explanation:

you just multiply no need to line up the decimal points tho

Answer: A

Step-by-step explanation: when you add +3 you move 3 units left on the x axis and when its -3 it would be right.. hope it helps please give brainliest! but the best answer is A the others are not right

Clockwise rotation and translation 3 units to the left.

Given that the function f(x) = x translates to f(x) = 0.2 (x+3)

When we add 3 units to x, then the graph x shift left by 3 units.

By dilation, the graph will rotate clockwise.

Hence, the function f(x) = x translates to f(x) = x, clockwise rotation and translation 3 units to the left.

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Answer:

The first thing we need to do is find the area of the rectangle...

l x w = A

7 x 8 = 56

So the area of the first rectangle is 56m.

Now we multiply each dimension by 5...

8 x 5 = 40

7 x 5 = 35

So, now the width is 40m and the length is 35m,

Then, find the area of the new rectangle...

35 x 40 = 1400

The area of this rectangle is 1,400m!

1,400 / 56 = 25

So, by multiplying each dimension by 5, the area is now multiplied by 25!

Answer:

The answer is 24 centimeters or option(B)

Step-by-step explanation:

Answer:

  The correct answer is B. 24 cm.

Step-by-step explanation:

hope this helps, and have a nice day! :)

Answer:x^2-6x+9

Step-by-step explanation:

Option B

[tex]3 x\sqrt{2} x[/tex] is the choice equivalent to [tex]\sqrt{6} x^{2} \cdot \sqrt{3} x[/tex]

Solution:

Step 1:

When we multiply two roots i.e. [tex]\sqrt{6} x^{2}[/tex] and [tex]\sqrt{3} x[/tex] the values are multiplied and still kept inside the root.

So [tex]\sqrt{6} x^{2}[/tex] × [tex]\sqrt{3} x[/tex] = [tex]\sqrt{6} x^{2} \times 3 x[/tex].

Step 2:

We then multiply the values in the root.

[tex]\sqrt{6} x^{2} \times 3 x[/tex] = [tex]\sqrt{18 x^{3}}[/tex]

Step 3;

We take the values out of the root by splitting up the value.

[tex]{18 x^{3}}[/tex] = [tex](9 \times 2)\left(x^{2} \times x\right)[/tex]

[tex]\sqrt{9}=3[/tex] and [tex]\sqrt{x^{2}}=x[/tex]

So [tex]\sqrt{18 x^{3}}[/tex] = [tex]\sqrt{9} \times 2 \times x^{2} \times x[/tex]

When we take values out of the root, we replace it with the square-rooted value on the outside.

[tex]\sqrt{18 x^{3}}[/tex] = [tex]3 x \sqrt{2 x}[/tex].

Thus option B is correct

Answer:

the last option is the correct option

Step-by-step explanation:

Answer: Fourth option

Step-by-step explanation:Why is because the question says they made at most meaning its max is $8,000 and its able to be equal to or less than so its closed dot.

Answer: 5kg

Step-by-step explanation:

If 72 books weigh 9kg

Then, 1 book weighs 9/72 = 1/8 kg

Therefore, 40 books will weigh

40 times 1/8 = 5kg

Answer:

3^2X5

Step-by-step explanation:

Students learn that the prime factorization of a number is the given number written as the product of its prime factors. For example, to find the prime factorization of 45, use a factor tree to find that 45 is 5 x 9, and 9 is 3 x 3. So the prime factorization of 45 is 5 x 3 x 3, or 5 x 3^2.

Answer:

Option B, 3^2 * 5

Step-by-step explanation:

Step 1:  Find the prime factorization of 45

45 = 9 * 5

9 can be simplified as 3^2

5 cannot be simplified because it is a prime number

9 * 5

3^2 * 5

So, 45 = 3^2 * 5

Answer:  Option B, 3^2 * 5