What happens to the new image if the scale factor of the original image to new image 1:3

Answer:

The growth model that represents the population of this city is not linear--it is exponential:

\(f(t) = 10000( {1.025}^{t} )\)

\(t = 0 \: represents \: 2010\)

Answer:

8/4 x 9/12= 1.5

8 x 9= 72

6 + 5= 11

1000 x 64= 64000

Step-by-step explanation:

The inequality is solved and the number is x ≥ 12

Given data ,

Let the number be represented as x

Now , sum of three times a number and -4 is at least twice the number plus 8

And , 3x - 4 ≥ 2x + 8

To solve for "x", we can start by isolating the "x" term on one side of the inequality

3x - 4 ≥ 2x + 8

Subtract 2x from both sides , we get

3x - 2x - 4 ≥ 2x - 2x + 8

x - 4 ≥ 8

Add 4 to both sides , we get

x - 4 + 4 ≥ 8 + 4

x ≥ 12

Hence , the inequality is x ≥ 12

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9514 1404 393

Answer:

  (c)  BK = 65

Step-by-step explanation:

Corresponding sides are proportional in similar triangles, so ...

  ZT/ZQ = KF/KB

  27/(2x +7) = 45/(4x+1)

  27(4x+1) = 45(2x +7) . . . cross-multiply

  3(4x +1) = 5(2x +7) . . . . divide by 9

  12x +3 = 10x +35 . . . . . eliminate parentheses

  2x = 32 . . . . . . . . . . . . . subtract 10x+3

  x = 16 . . . . . divide by 2

Then the length of BK is ...

  BK = 4x+1 = 4·16 +1

  BK = 65

A real life situation to describe an example of exponential growth is; the unrestricted growth of population of human being. The function \(y = e^{bt}\) represents that as population increases , the rate of growth of population also increases.

An example of an exponential decay function is \(y = e^{-bt}\) and it can be said to represented by the decay of  a radioactive material.

Exponential growth functions can be represented in the form of;

\(y = e^{bt}\)

In this exponential function, y increases exponentially with respect to t . Thus, as t increases,

dy/dt = by

This means that the rate of increase depends upon y itself.

dy/y = b(dt)

We Integrate both sides to get;

ln y = bt

Thus;

\(y = e^{bt}\)

The function represents a very fast increase in y .

The unrestricted growth of population of human being is an example of exponential growth . Thus, as population increases , the rate of growth of population also increases.

For exponential decay function;

\(y = e^{-bt}\)

This is the decay of  a radioactive material as a decay function.

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Answer:

4/9 = 1/2 x

Step-by-step explanation:  2.84 sands

Step-by-step explanation:

remember, the sum of all angles in a triangle is always 180°.

1. you mean find the angle at A, yes ?

180 = angle A + angle B + angle C =

= angle A + 38 + 90

angle A = 180 - 38 - 90 = 90 - 38 = 52°

2. Pythagoras

AB² = 11² + 8.5² = 121 + 72.25 = 193.25

AB = 13.90143877... in

3. sine/cosine ratio is tangent.

sin(38) × AB = 8.5 in

cos(38) × AB = 11 in

sin(38)/cos(38) = tan(38) = 8.5/11 = 0.772727272...

sin(52) × AB = 11 in

cos(52) × AB = 8.5 in

sin(52)/cos(52) = tan(52) = 11/8.5 = 1.294117647...

4. they are equal. as sin(x) = cos(90-x).

5. they are equal. as cos(x) = sin(90-x).

6. 90°. again, the sum of all angles must be 180°. so, when one angle is all by itself already 90°, then there are only 90° left for the other 2 angles.

7. not sure what you mean by "kissing angles" but

a. sin(40°) = cos(90-40) = cos(50°) = 0.64278761...

b. cos(27°) = sin(90-27) = sin(63°) = 0.891006524...

c. sin(90°) = cos(90-90) = cos(0°) = 1

d. cos(65°) = sin(90 - 65) = sin(25°) = 0.422618262...

The mean from a Histogram, table, and dot plot, it is not possible to determine the mean directly from a stem-and-leaf plot.

Out of the given options, the display of data for which it is not possible to find the mean is the stem-and-leaf plot.

A histogram displays data in the form of bars, where the height of each bar represents the frequency of data within a specific range. From a histogram, it is possible to calculate the mean by summing up the products of each value with its corresponding frequency and dividing it by the total number of data points.

A table presents data in a structured format, typically with rows and columns, allowing for easy calculation of the mean. By adding up all the values and dividing by the total number of values, the mean can be obtained from a table.

A stem-and-leaf plot organizes data by splitting each value into a stem (the first digit or digits) and a leaf (the last digit). While a stem-and-leaf plot provides a visual representation of the data, it does not directly provide the frequency or count of each value. Hence, it is not possible to determine the mean directly from a stem-and-leaf plot without additional information.

A dot plot represents data using dots along a number line, with each dot representing an occurrence of a value. Similar to a histogram and table, a dot plot allows for the calculation of the mean by summing up the values and dividing by the total number of data points.

In summary, while it is possible to find the mean from a histogram, table, and dot plot, it is not possible to determine the mean directly from a stem-and-leaf plot.

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The correct answer is that the data set {3, 7, 4} is represented in the given histogram.(option-a)

The given histogram represents the number of children in each age group who need to travel to school. Since the histogram has only three bars, we can conclude that there are only three age groups.

The first bar represents children aged 5-10, of which there are 3. The second bar represents children aged 11-13, of which there are 7. The third bar represents children aged 14-18, of which there are 4.

Therefore, the data set that is represented in the histogram is:

{3, 7, 4}

None of the other data sets given match the values in the histogram. The first data set has duplicate values and is not sorted by age group. The second data set includes ages that are not represented in the histogram. The third data set has values for ages 6, 11, 12, 13, 14, 15, 17, and 18, but the histogram does not have bars for all those ages. (option-a)

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Answer:

look at the photo............

Answer:

what table could you explain

Step-by-step explanation:

Answer:

this is what I put please put it in your own words

Step-by-step explanation:

1. The title: Oh, the Places You'll Go!

2. Author: Dr. Seuss

3. Publisher: RANDOM HOUSE NEW YORK

4. Some invented words used in the book that you particularly like. Lurches, Slumps, Brains.

5. What the funniest stanza (for verse) in the book is, in your opinion. You have brainss in your head

II. Warm-up

butterfly butterflyfling

bridge bridgeamabob

bill billblingflingaling

III. Type a short, funny story using invented words for as many things as you can.

One day I was riding my horse and then I see carrot kids playing in the pasture and I asked to join them and the said yes.

Answer: You can use this whole paragraph if you want. I don't mind c:

Step-by-step explanation:

I. Independent research: Look up any Dr. Seuss book in your library and type the following information.

The title: The Lorax

Author: Dr. Seuss

Publisher: Random House Children's Books

Truffula Seed

“I am the Lorax. I speak for the trees. I speak for the trees for the trees have no tongues.”

II. Warm-up

1. Mouse

2. House

3. Spouse

III. Type a short, funny story using invented words for as many things as you can.

I went to a house in the woods and it was owned by a bird and a lion. They fed me porridge with crackers then put me down to sleep.

(I don't know what else to put but I hope that's good enough.)

I hope this helps you!! <3

Answer:

The set M of all square numbers less than 80 is:

M = {0, 1, 4, 9, 16, 25, 36, 49, 64}

The set N of all non-negative even numbers that are under 30 is:

N = {0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28}

Answer:

All elements of the set M in ascending order are:

All elements of the set N in ascending order are:

Step-by-step explanation:

A square number, also known as a perfect square, is a non-negative integer that is obtained by multiplying an integer by itself. In other words, it is the result of squaring an integer.

The square numbers less than 80 are:

An even number is an integer that is divisible by 2 without leaving a remainder.

The non-negative even numbers that are under 30 are:

Therefore:

All elements of the set M in ascending order are:

All elements of the set N in ascending order are:

Answer:

29.4°

Step-by-step explanation:

The equation can be rearranged to give C directly.

 C = arccos((a^2 +b^2 -c^2)/(2ab))

 C = arccos((90^2 +55^2 -50^2)/(2·90·55))

 C = arccos(8625/9900) ≈ 29.4002°

 C ≈ 29.4°

The measure of angle C is approximately 29.46 degrees.

To find the measure of angle C (cos(C)) using the given values a = 55, b = 90, and c = 50, we can use the Cosine Rule formula:

cos(C) = (a² + b² - c²) / (2 * a * b)

Substitute the given values:

cos(C) = (55² + 90² - 50²) / (2 * 55 * 90)

Now, calculate the numerator:

cos(C) = (3025 + 8100 - 2500) / (2 * 55 * 90)

cos(C) = 8625 / 9900

Now, divide to get the final value of cos(C):

cos(C) ≈ 0.8707

To find the measure of angle C itself, we can take the inverse cosine (arccos) of this value:

C ≈ arccos(0.8707)

Using a calculator, you'll find:

C ≈ 29.46 degrees (rounded to two decimal places)

So, the measure of angle C is approximately 29.46 degrees.

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Answer:

It is not a closed circle

Step-by-step explanation:

You  see they are not all at the same degrees and a b d have a right angle and c is an obtuse angle.

The equation that models the balance y after x is y = -145x + 1400

given that

Zachary uses a payment plan to buy a PC for $1,400. His balance was $820 four months after he made the computer purchase. His amount was $240 eight months after he made the computer purchase.

Assume it has to do with developing an equation that represents this loan as a function of time. Use the loan amount as Y and the time as X.

Now Put that in the standard format:

Y = mX + b

according to the question

at x = 0 then y = 1400

at x = 4 then y = 820

at x = 8 then y = 240

now find the slope

points are (4,820) & (8,240)

\(slope = \frac{y2 - y1}{x2 - x1} \)

\(slope = \frac{240 - 820}{8 - 4} \)

\(slope = \frac{ - 580}{4} \)

slope = -145

now the equation is y = -145x + b

Let x = 4 & y = 820

then

820 = -145(4) + b

820 = 580 + b

b = 820 + 580

b = 1400

finally the equation is

y = -145x + 1400

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With a pound of flour costing $12 and considering that there are 16 ounces in a pound, the cost per ounce is $0.75. Thus, for $3.30, you can purchase 4.4 ounces of flour.

To find out how many ounces of flour can be purchased for $3.30, we need to determine the cost of one ounce of flour.

Given that a pound of flour costs $12, we know that there are 16 ounces in a pound (since there are 16 ounces in 1 pound). So, the cost of one ounce of flour can be calculated as:

Cost of one ounce of flour = Cost of one pound of flour / Number of ounces in one pound

Cost of one ounce of flour = $12 / 16 ounces

Cost of one ounce of flour = $0.75

Therefore, the cost of one ounce of flour is $0.75.

To determine how many ounces of flour can be purchased for $3.30, we divide the total amount of money by the cost of one ounce of flour:

Number of ounces of flour = Total money / Cost of one ounce of flour

Number of ounces of flour = $3.30 / $0.75

Number of ounces of flour ≈ 4.4 ounce

Therefore, for $3.30, approximately 4.4 ounces of flour can be purchased.

In summary, with the given cost of $12 for a pound of flour, and knowing that there are 16 ounces in a pound, we find that one ounce of flour costs $0.75. Thus, for $3.30, approximately 4.4 ounces of flour can be purchased.

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Answer:

Given Figure has set of Stacked cubes.

To Draw the Base Plan, lets see its right side, Left Side and Front side view.

Right side:

It has 3 cubes in base.

2 cubes in 2nd layer clearly seen in figure and only 1 cube in 3rd layer.

Left Side:

It has 2 Cubes in base.

Both Cubes attached to 1st and 2nd cube of right side cubes.

Front Side:

It can be seen that, here base only has 2 rows of cubes.

Therefore,  1st Figure is correct Base Plan (or enclosed figure)

Note: Numbers in enclosed figure just shows the total no. of cubes in that stack.

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It would be 200 because if you plug in -2 into the (x) as in replacing it, you get an answer that answer then goes to g(x) and replace that too. Hope you understand :)

We want to find the composition of the two given functions, we will have:

g(f(2)) = 8

So we have two functions:

f(x) = 3x - 8

g(x) = x² + 4

We want to get g(f (-2)), so first let's get g(f(x)), this means that instead of x in g(x) we evaluate it in f(x), we will get:

g(f(x)) = f(x)² + 4

Now replace f(x) by the function:

g(f(x)) = (3x - 8)² + 4

Now we evaluate it in x = 2:

g(f(2)) = (3*2 - 8)^2 + 4 = (-2)² + 4 = 8

g(f(2)) = 8

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Step-by-step explanation:

I just did in the other posting. how often did you post it ?

this is a trick question. the triangle at the top is not an isoceles triangle.

we use Pythagoras for an the steps.

so, the left part of the baseline (split by the height) is calculated by

12² = 10² + part²

144 = 100 + part²

part = sqrt(44) = 6.633249581... ft

the other part is then

20 - 6.633249581... = 13.36675042... ft

and the second leg of the large triangle is

leg² = 10² + 13.36675042...² = 278.6700168...

leg = 16.69341238... ft

P = 12 + 16.69341238... + 8 + 8 + 20 = 64.69341238... ft ≈

≈ 64.69 ft

please see the answer to the other posting for more details.

Answer:

the answer to this question is $2,350

Step-by-step explanation:

june has 30 days so $75 × 30 + $100 = $2,350

Answer:

n is 41.67 degrees

Step-by-step explanation:

At the intersection point of two lines, there are two angles, a and b. The sum of these two angles is 180.

In this question:

One of the angles is (3n - 28)

The other is 83.

Then

\(3n - 28 + 83 = 180\)

\(3n + 55 = 180\)

\(3n = 180 - 55\)

\(3n = 125\)

\(n = \frac{125}{3}\)

\(n = 41.67\)

Answer:

yay

Step-by-step explanation:

Answer:

Thx

Step-by-step explanation:

Answer:

120.

Step-by-step explanation:

The Least common multiple of 30 and 40 is 120.

Answer:

The lowest common multiple of 30 and 40 is 120

Answer:

35/3

Step-by-step explanation:

\(\frac{x+6 + 6x+2+x+6}{3} =4x-7\)

Simplify to get

9x+14=3(4x-7)

35=3x

x=35/3 or 11.66

Answer: 75

Step-by-step explanation:

Answer:

$15.69

Step-by-step explanation:

multiply the retail price by 1.06 to get the price after taxes.

find the discounted price by multiplying the price after taxes(19.61) by 0.8 since it is 20% off to get the answer

Answer:

R

Step-by-step explanation:

collinear points lie on the same line

R is on the line joining AB

\((x_1, y_1) = (6,-10),~~ (x_2, y_2) = (3,-13)\\\\\\\text{Slope,}~ m = \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{-13 +10}{3 -6} =\dfrac{-3}{-3} =1\)