Table
________________________________
Scale factor 3.
(-1-3,2+3) --> A(-4,5)
(1+3,2+3) --> B(4,5)
(1+3,-2-3) --> C(4,-5)
(-1-3,-2-3) --> D(-4,-5)
(-2-3,3+3) --> E(-5,6)
(2+3,3+3) --> F(5,6)
(2+3,-3-3) --> G(5,-6)
(-2-3,-3-3) --> H(-5,-6)
___________________________________
Scale factor 4
(-1-4,2+4) --> A(-5,6)
(1+4,2+4) --> B(5,6)
(1+4,-2-4) --> C(5,-6)
(-1-4,-2-4) --> D(-5,-6)
(-2-4,3+4) --> E(-6,7)
(2+4,3+4) --> F(6,7)
(2+4,-3-4) --> G(6,-7)
(-2-4,-3-4) --> H(-6,-7)
______________________________________________________
Second Image.
Scale Factor 2
Length = 6
Width = 8
Perimeter = 2(6+8)= 2(14) = 28
Area = 6 times 8 = 48.
Scale Factor 3
Length = 8
Width = 10
Perimeter = 2(8+10)= 2(18) = 36
Area = 8 times 10 = 80.
Scale Factor 4
Length = 10
Width = 12
Perimeter = 2(10+12)= 2(22) = 44
Area = 10 times 12 = 120.
_____________________________________________
Scale Factor 2
Length = 8
Width = 10
Perimeter = 2(8+10)= 2(18) = 36
Area = 8 times 10 = 80.
Scale Factor 3
Length = 10
Width = 12
Perimeter = 2(10+12)= 2(22) = 44
Area = 10 times 12 = 120.
Scale Factor 4
Length = 12
Width = 14
Perimeter = 2(12+14)= 2(26) = 52
Area = 12 times 14 = 168.
Why are you guys adding? Aren't you supposed to multiply the cordinates by the scale factor?!?!?!?!
Solve the equation for y
[tex]8 = 3x + 6y[/tex]
move variable to the left side and change its sign
-3x+8=6y
Move constant to the right side and change its sign
-3x=6y-8
Divide both sides of the equation by -3
x=-2y+8/3
the basketball team sold t shirts and hats as a fundrasier they sold a total of 23 items and made a profit of 246 the made a profit of 10 for every shirt and every hat is 12 when they sold them enter the number of t shirts and enter the amount of hats
s - the number of the t-shirts;
h - the number of hats:
The system of equations:
s + h = 23
10 s + 12 h = 246
--------------------------
s = 23 - h
10 * ( 23 - h ) + 12 h = 246
230 - 10 h + 12 h = 246
2 h = 246 - 230
2 h = 16
h = 16 : 2
h= 8
s = 23 - 8
s = 15
Answer: The basketball team sold 15 t-shirts and 8 hats.
mark me as brainliest answer
according to the 2010 United States census the population of a town was 89154 roughly a 12% increase from 79601 in 2000 constructing Expo Neo model to predict the town's population Each decade use your model to predict the population of the town in 2040
Final answer:
To predict the population of the town in 2040 using an exponential growth model, we can use the formula P(t) = P₀ * (1 + r)^(t - t₀), where P(t) is the population at time t, P₀ is the initial population, r is the growth rate, and t₀ is the initial time. Given the population in 2010 and 2000, we can calculate the growth rate and substitute the values into the formula to predict the population in 2040.
Explanation:
To construct an exponential growth model to predict the population of the town in 2040, we can use the formula P(t) = P₀ * (1 + r)^(t - t₀), where P(t) is the population at time t, P₀ is the initial population, r is the growth rate, and t₀ is the initial time.
Given that the population in 2010 was 89154 and in 2000 was 79601, we can calculate the growth rate as follows:
Growth rate = (Population in 2010 - Population in 2000) / Population in 2000 * 100%
Growth rate = (89154 - 79601) / 79601 * 100%
Growth rate ≈ 11.98%
Now we can substitute the values into the exponential growth model and predict the population in 2040, which is 30 years after 2010:
P(2040) = 89154 * (1 + 0.1198)^(2040 - 2010)
P(2040) ≈ 89154 * 1.1198^30 ≈ 89154 * 4.676
P(2040) ≈ 417204.504
What is 1 + 0.9 + 0.08 + 0.001 in standard form ?
the answer is 1.981
Answer:
Standard form 1.981.
Step-by-step explanation:
Given : 1 + 0.9 + 0.08 + 0.001 .
To find : What is standard form .
Solution : We have given 1 + 0.9 + 0.08 + 0.001 .
1 +[tex]\frac{9}{10}+\frac{8}{100}+\frac{1}{1000}[/tex].
We can see that 9 is at tenth place and 8 is at hundredth place and 1 is at thousandth place .
So,
1.981
Therefore, Standard form 1.981.
it's really easy, but I need help with it
Given A= {(2,3),(5,1),(-3,-2),(0,3)} A is a subset of
A. N X R
B. R X N
C. N x N
D. R X R
[tex]A=\{(2,\ 3),\ (5,\ 1),\ (-3,\ -2),\ (0,\ 3)\}\\\\X=\{2,\ 5,\ -3,\ 0\}\\\\Y=\{3,\ 1,\ -2}\\\\-3\ and\ -2\ are\ not\ a\ natural\ numberss.\\\\Therefore\ your\ answer\ is\ D.\ \mathbb{R}\ \times\ \mathbb{R}[/tex]
The set A= {(2,3),(5,1),(-3,-2),(0,3)} is a subset of 'R x R', the cartesian product of Real numbers and Real numbers because both elements of all pairs in the set A are real numbers.
The given set A contains ordered pairs where each pair is constituted of two elements. An ordered pair is always in the form of (a, b) where 'a' is from the first set and 'b' is from the second set in a Cartesian product.
In the given subsets:
A. N X R(Cartesian product of Natural numbers and Real numbers)
B. R X N(Cartesian product of Real numbers and Natural numbers)
C. N X N(Cartesian product of Natural numbers and Natural numbers)
D. R X R(Cartesian product of Real numbers and Real numbers)
Looking at the subset A= {(2,3),(5,1),(-3,-2),(0,3)}, we can observe the first element of each pair in the set, we have 2, 5, -3, and 0. Negative numbers and zero are not natural numbers. Therefore it can't be a subset of 'N x R' or 'N x N'. But they are real numbers. Hence, it could be either 'R x N' or 'R x R'. However, if we look at the second element of each pair, we see that they are 3, 1, -2, and 3. Among these, -2 is a negative number and is not a natural number, but is a real number. Therefore, the set A must be a subset of 'R x R', which is the cartesian product of Real numbers and Real numbers.
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According to the Triangle Inequality, the length of the longest side of a triangle must be less than the sum of the length of the other two sides. The two shortest sides of a triangle measure 3/10 and x + 1/5, and the longest side measures 3/2x
x has to equal 1. 3/10 + 1/5 = 1/2
the equation is now 1/2 + x = 1 1/2x
x = 1
1 1/2 = 1 1/2
Final answer:
The Triangle Inequality Theorem is applied to determine the range of values for x that would make the side lengths given form a valid triangle.
Explanation:
Understanding the Triangle Inequality Theorem
The Triangle Inequality Theorem states that in any triangle, the length of any side must be less than the sum of the other two sides. For the given question, we need to use this principle to analyze the side lengths. With the two shorter sides given as [tex]\( \frac{3}{10} \) and \( x + \frac{1}{5} \)[/tex], and the longest side given as [tex]\( \frac{3}{2}x \)[/tex], we can establish the inequality:
[tex]\( \frac{3}{2}x < \frac{3}{10} + \left( x + \frac{1}{5} \right) \).[/tex]
By solving this inequality, we can find the range of possible values for x that makes the configuration a valid triangle. This problem is an application of basic geometric principles and inequalities.
If y=15 when x=3/4, find x when y =25. Show work please!
Set up a proportion: x/y = x/y
(.75)/(15) = (x)/(25)
Then cross multiply:
(.75)(25) = (15)(x)
18.75 = 15x
x = 1.25 or (5/4)
There you go :)
If f(x)=5x+4, which of the following is the inverse of f(x)?
[tex]Solution,\mathrm{Inverse\:of}\:5x+4:\quad \frac{x-4}{5}[/tex]
[tex]Steps:[/tex]
[tex]y=5x+4[/tex]
[tex]\mathrm{Interchange\:the\:variables}\:x\:\mathrm{and}\:y, x=5y+4[/tex]
[tex](\mathrm{Solve}\:x=5y+4\:\mathrm{for}\:y),(x=5y+4)[/tex]
[tex]\mathrm{Switch\:sides}, 5y+4=x[/tex]
[tex]\mathrm{Subtract\:}4\mathrm{\:from\:both\:sides}, 5y+4-4=x-4[/tex]
[tex]\mathrm{Simplify}, 5y=x-4[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}5, \frac{5y}{5}=\frac{x}{5}-\frac{4}{5}[/tex]
[tex]\mathrm{Simplify}, y=\frac{x-4}{5}[/tex]
[tex]\mathrm{The\:Correct\:Answer\:is\:\frac{x-4}{5}}[/tex]
[tex]\mathrm{Hope\:This\:Helps!!!}[/tex]
[tex]\mathrm{-Austint1414}[/tex]
To find the inverse of f(x) = 5x + 4, swap x and y to get x = 5y + 4, solve for y to get y = (x - 4)/5, which is the inverse.
With the given function f(x) = 5x + 4, we first replace f(x) with y to get y = 5x + 4. We then swap x and y to get x = 5y + 4. To solve for y, we subtract 4 from both sides, giving us x - 4 = 5y. Then, we divide both sides by 5, yielding (x - 4)/5 = y. Therefore, y = (x - 4)/5, which is the inverse of the function f(x).
Help with 5 2/5 ÷ 3 2/10=
The Answer is 1.6875 Hope this helps
what is the product of -15*(-1/2)
what is the product of -15*(-1/2)
-15 * (-1/2)
-15 * -0.5 =
7.5
Hello!
"+"- sum"*"-product "-"- difference[tex]-15*(-\frac{-1}{2} )[/tex]
[tex](\frac{-15}{1}) (\frac{-1}{2})[/tex]
[tex]\frac{(-15)(-1)}{(1)(2)}[/tex]
[tex]=\frac{15}{2}[/tex]
You can also round up to the nearest tenths is 7.5 to 8.0
Hope this helps! Thank you for posting your question at here on Brainly.
-Charlie
The bike rental company has determined that they will charge based on the nearest half hour. If Michael rented a the bike for 5.5 hours how much would that cost ?
Answer:
If it were.... 5 dollars or so... That would be 30 dollars i think...
Step-by-step explanation:
The rental cost of the bike for 5.5 hours will be $55.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the bike rental company has determined that they will charge based on the nearest half-hour is $5.
The number of half-hours in 5.5 hours,
N = 5.5 / 0.5 = 11
The rental cost will be,
C = 11 x 5
C = $55
Therefore, the rental cost of the bike for 5.5 hours will be $55.
The complete question is given below.
The bike rental company has determined that they will charge based on the nearest half hour is $5. If Michael rented the bike for 5.5 hours how much would that cost?
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Bryce rides his bike 4 blocks west to school after school he rides six blocks East to the grocery store how many blocks past his house is Bryce when he arrives at the grocery store
He rode 6 blocks to the East than he rode 4 blocks to the West, so that means after he rode 6 blocks to the east he went backwards 4 blocks.
The equation is, 6-4=2 Because he only past 2 blocks from his home to arrive at the grocery store.
Bryce is 2 blocks past his house when he arrives at the grocery store.
Explanation:To find out how many blocks past his house Bryce is when he arrives at the grocery store, we need to calculate the total distance he has traveled from his house to the grocery store. He rides 4 blocks west to school and then 6 blocks east to the grocery store. To find the total distance, we can subtract the distance traveled west from the distance traveled east: 6 blocks - 4 blocks = 2 blocks past his house.
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-2.1 1.3 1.5 -1.2 -0.6 0.9 3.4 from least to greatest
-2.1 , -1.2 , -0.6, 0.9, 1.3 , 1.5 , 3.4
Hope this helps!
-2.1,-1.2,-.6,.9,1.3,1.5,3.4
an elephant at the zoo lost 24 pounds over 6 months. The elephant lost the same amount of weight each month. Whats the integer that represents the change in the elephant's weight each month
To find how many pounds the elephant lost per month, divide 24lbs by 6 months, you get 4 pounds per month. Therefore the elephant loses 4 pounds per month.
Answer: 4 pounds per month
Please help !! :) I am offering 20 points !!
(2,3) is the ordered pair because both lines meet at this direct point on the graph.
x=2
y=3
Jade farm has 9 chickens,each of which laid 3 eggs. Jases farm has 4 horses. ednas farm has chickens which laid a total of 23 eggs. jase wonders whose chickens laid more eggs.
The answer is that Jade's chickens laid more eggs. Since Jade's farm includes 9 chickens, which each laid 3 eggs, multiply 9 and 3 and you get 27. Edna's farm has chickens which, in total, laid 23 eggs, leading to Jade's chickens with 27 eggs to be more than the eggs laid by Edna's chickens. :)
Answer:
Jade's chickens laid more eggs.
Step-by-step explanation:
Jade farm has number of chickens = 9
Each chickens laid number of eggs = 3
Total number of eggs on Jade's farm = 9 × 3 = 27 eggs
Ednas farm has chickens which laid a total of 23 eggs.
Difference between number of eggs = 27 - 23 = 4
Therefore, Jade's chickens laid 4 more eggs.
Which of the following is a mathematical statement showing that one ratio is equal to another ratio?
Answer:
Proportion
Step-by-step explanation:
took test
Simplify the following expression.
6k – 1 + 6k
The simplified answer is 12k -1
Hope this helps!!!!!!!!1
Hello!
[tex]6k - 1 + 6k\\[/tex]
Explanation:
↓↓↓↓↓↓↓↓↓↓↓↓
First this problem it should be the group like terms.
[tex]6k+6k-1[/tex]
Then you add similar by the elements.
[tex]6k+6k=12k[/tex]
[tex]=12k-1[/tex]
Answer⇒⇒⇒⇒⇒⇒⇒=12k-1
Hope this helps!
Thank you for posting your question at here on Brainly.
Have a great day!
-Charlie
3x + 4y = 16 slope y and x intercepts
I think the x-intercept will be (16/3,0)
AND the y-intercept to be (0,4)
slope=-3/4
x intercept= (16/3,0)
y intercept=(0,4)
two-thirds a number less than four is negative seven.
4 - 2/3x = -7 would be the equation to represent this.
3/5 of a number is 30. What's the number?
To figure out the number we need to set up our equation to make more sense.
3/5 = 30/x (x is our missing number)
We know that what ever you do to the top of the fraction you can do to the bottom.
So if we multiply 3 x 10 we get 30.
Therefore to get the number we must multiply 5 by 10
5 x 10 = 50
So our answer and missing number is 50
13*52 using the distributive property
Hello!
[tex]13*52=676[/tex]
Explanation: This question is super easy. This question it just like a order of operations. First you had to multiply by 52, 13*52= 676 is the right answer. Hope this helps! And thank you for posting at here on Brainly. And have a great day! -Charlie
How many ounces of a 40% alcohol solution must be mixed with 16 ounces of a 45% alcohol solution to make a 44% alcohol solution
I need help with this equation
A(x+b)-c=d
what letter represents the initial value in y=a(b)^x
The letter "a" represents initial value. "b" is the rate, and "x" is time. Hope I could help!
At the gym, Hillary swims every 6 days, runs every 4 days and cycles every 16 days. If she did all three activities today, in how many days will she do all three activities again on the same day?
GCF or LCM
the LCM of 4,6 and 16 is 48
so every 48 days she does all the activities on the same day
A Ferris wheel has 20 cars that are equally spaced around the circumference of the wheel. The wheel rotates so that the car at the bottom of the ride is replaced by the next car. By how many degrees does the wheel rotate?
The Ferris wheel rotates ______ ° between successive cars being at the bottom.
Answer:
The Ferris wheel rotates 18° between successive cars being at the bottom.
Explanation:
Angle inside a circle = 360°
No of cars in a Ferris wheel = 20
When the bottom of the ride is replaced by the next car, the angle rotated by Ferris wheel is same as the angle between two consecutive cars towards center of Ferris wheel.
Angle between two consecutive cars of Ferris wheel = 360/20 = 18°
The Ferris wheel rotates 18° between successive cars being at the bottom.
Final answer:
The Ferris wheel rotates by 18 degrees to move from one car to the next in sequence at the bottom of the wheel.
Explanation:
To determine by how many degrees the Ferris wheel rotates when one car is replaced by the next at the bottom, we need to consider the full rotation of the wheel. A full rotation of a circle is 360 degrees. Since there are 20 cars equally spaced around the circumference, we divide 360 degrees by the number of cars to find the rotation angle between successive cars.
The calculation is as follows:
360 degrees / 20 cars = 18 degrees
Therefore, the Ferris wheel rotates by 18 degrees between successive cars being at the bottom of the ride.
How can I find the area of this?
Find the area of each triangle and then add them together.
Bottom Triangle
A = [tex]\frac{1}{2}[/tex]b * h
= [tex]\frac{1}{2}[/tex](160)(120)
= 80(120)
= 9600 m²
Top Triangle
First we need to find the side length. We can calculate the length of the hypotenuse using Pythagorean Theorem for the bottom triangle.
a² + b² = c²
120² + 160² = c²
14400 + 25600 = c²
40000 = c²
200 = c
Now we can use Pythagorean Theorem on the top triangle to find the missing side length.
a² + b² = c²
100² + b² = 200²
10000 + b² = 40000
b² = 30000
b ≈ 173
A = [tex]\frac{1}{2}[/tex]b * h
= [tex]\frac{1}{2}[/tex](100)(173)
= 50(173)
= 8650 m²
Top Triangle + Bottom Triangle = Total Area
8650 + 9600
18250
Answer: Area = 18,250 m²
Which of the following equations represents a horizontal line passing through the point (2,4)? y = 2x + 4 y = 4 x = 2 y = 4x + 2
The correct answer is y = 2x + 4.
The slope would be 2 and the y intercept would be 4. Now that we kbow this, we can determine that if we continuously put these points on a graph, it will make a horizontal line.
Hope this helps!!