My dream house plan has the following dimensions in feet:
Living Room: 80 ft x 60 ft
Bedroom 1: 40 ft x 40 ft
Bedroom 2: 40 ft x 40 ft
Bathroom 1: 20 ft x 20 ft
Kitchen: 60 ft x 40 ft
Scale factor is a tool used in mathematics to enlarge or reduce a figure or an object. It is used to determine how much bigger or smaller one figure is compared to the other. The scale factor is usually expressed as a ratio or fraction, such as 2:1 or 3/4. The scale factor is used in many areas of mathematics, including geometry, trigonometry and algebra. It is also used for plotting graphs and for solving equations.
Below is the drawing of my dream house plan, with 5 rooms labeled and the respective dimensions in inches:
[Insert drawing here]
For the scale factor, I chose 1 inch = 2 feet. This means that for every inch drawn on the floor plan, it represents 2 feet in reality. To find the actual dimensions of each room in feet, I multiplied the dimensions in inches by the scale factor.
Living Room: 40 in x 30 in
Actual Dimensions: 80 ft x 60 ft
Bedroom 1: 20 in x 20 in
Actual Dimensions: 40 ft x 40 ft
Bedroom 2: 20 in x 20 in
Actual Dimensions: 40 ft x 40 ft
Bathroom 1: 10 in x 10 in
Actual Dimensions: 20 ft x 20 ft
Kitchen: 30 in x 20 in
Actual Dimensions: 60 ft x 40 ft
Therefore, my dream house plan has the following dimensions in feet:
Living Room: 80 ft x 60 ft
Bedroom 1: 40 ft x 40 ft
Bedroom 2: 40 ft x 40 ft
Bathroom 1: 20 ft x 20 ft
Kitchen: 60 ft x 40 ft.
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To find the distance between (-2,-3) and (4,1), Peggy's teacher drew a diagram and marked blue lines to represent the legs of a right triangle. Peggy then used 42 and 62 to find the distance represented by the red segment. What distance did she find ?
A √114
B √52
C 2020
D 5252
E 25
By using the formula for the distance we will see that the correct option is B:
√52
What distance did she find?
We will use the general formula to find the distance between two points (a, b) and (c, d)
it is:
distance = √( (a - c)^2 + (b - d)^2)
Here we want to find the distance between the points (-2,-3) and (4,1), if we use the above formula we will get:
distance = √( (-2 - 4)^2 + (-3 - 1)^2) = √( 36 + 16)
distance = √52
The correct option is B.
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You have 15 marbles in your pocket. 5 are blue, 6 are red, and 4 are green. If you reach into your pocket and pull out a marble, what is the probability that the marble will be red?
Answer:
2 out of 5 chance of being red
Step-by-step explanation:
Got another hard question.
Answer:
D) 1/2
Step-by-step explanation:
Dilation : a type of transformation that makes the figure larger or smaller.
Scale factor : number or the conversion factor which is used to change the size of a figure without changing its shape.
Scale factor = dimensions of the new shape ÷ dimensions of the original shape
Given:
Length of new figure P'Q' = 3 unitsLength of original figure PQ = 6 unitsTherefore, scale factor = 3 ÷ 6 = 1/2
Here
Scale factor is
\(\\ \tt\hookrightarrow 2/4=1/2\)
URGENT!!
Anyone knows this???
Draw a modle and write to represent 4 times as many as 3 is 12.
Draw a model and write to represent 4 times as many as 3 is 12.
The required equation is 4×3=12 and the required model is shown in figure.
The model for the provided question is shown in the figure, where there are 3 rows and 4 blocks in a row we get 12 blocks total.
Consider the provided information.
We need to draw a model and write an equation to represent 4 times as many as 3 is 12.
4 times as many as 3 can be written as:
4×3
This expression is equal to 12. Thus the combined equation is:
4×3=12
Therefore, the equation represents 4×3=12.
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The graph of g(x) is a translation of y = RootIndex 3 StartRoot x EndRoot.
On a coordinate plane, a cube root function goes through (negative 6, negative 2), has an inflection point at (4, 0), and goes through (10, 2).
Which equation represents g(x)?
g(x) = RootIndex 3 StartRoot x minus 4 EndRoot
g(x) = RootIndex 3 StartRoot x + 4 EndRoot
g(x) = RootIndex 3 StartRoot x EndRoot + 1.5
g(x) = RootIndex 3 StartRoot x EndRoot minus 1.5
Answer: g(x) = RootIndex 3 StartRoot x + 2 EndRoot
Step-by-step explanation:
The equation that represents g(x) is \(g(x)= \sqrt[3]{x - 4}\)
The graph of the function is given as:
\(y = \sqrt[3]{x}\)
The above graph passes through the origin.
So, the function can be rewritten as:
\(y -0= \sqrt[3]{x - 0}\)
The above function has an inflection point at (0,0).
The translated function is said to have its inflection point at (4,0).
So, the translated function is:
\(y -0= \sqrt[3]{x - 4}\)
Subtract 0 from y
\(y= \sqrt[3]{x - 4}\)
Express y as a function of x
\(g(x)= \sqrt[3]{x - 4}\)
Hence, the equation that represents g(x) is \(g(x)= \sqrt[3]{x - 4}\)
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Given the functions f(x) = x2 + 6x - 1 and h(x) = 2x2 - 4x + 3. What is the vertex for each?
a
(-3, -10) and (1, 9)
b
(-3, -28) and (-1, 5)
c
(-3, -10) and (1, 1)
d
(3, -20) and (-1, 9)
Answer:
c. (-3, -10) and (1,1)
I took this test and remembered,
8. Use the information in the table to write 5 ordered pairs that have cats as the input value
and dogs as the output value.
Use the data set below to answer the following questions. 20 26 28 25 28 18 23 15 17 26 29 24 29 29 17 15 17 20 30 29 16 21 22 28 19
Approximately what percent of the data are greater than 28?
Approximately what percent of the data are less than 23?
Approximately what percent of data are greater than 17.5?
Approximately what percent of data are between 17.5 and 28?
Approximately 37.5% of the data are greater than 28, 33.3% of the data are less than 23, 91.7% of the data are greater than 17.5, and 62.5% of the data are between 17.5 and 28.
To answer the questions, we can analyze the given data set.
First, let's count the number of data points that satisfy each condition:
Greater than 28:
There are 9 data points greater than 28 (29, 29, 29, 30, 29, 29, 28, 28, 28).
Less than 23:
There are 8 data points less than 23 (20, 18, 15, 17, 17, 15, 17, 19).
Greater than 17.5:
There are 22 data points greater than 17.5.
Between 17.5 and 28:
There are 15 data points between 17.5 and 28.
Now, let's calculate the approximate percentage for each condition:
Percent greater than 28:
The total number of data points is 24. Approximately, 9 out of 24 data points are greater than 28.
Percentage =\((9 / 24) \times 100 = 37.5\)%.
Percent less than 23:
Approximately, 8 out of 24 data points are less than 23.
Percentage = \((8 / 24) \times 100 = 33.3\)%.
Percent greater than 17.5:
Approximately, 22 out of 24 data points are greater than 17.5.
Percentage = \((22 / 24) \times 100 = 91.7\)%.
Percent between 17.5 and 28:
Approximately, 15 out of 24 data points are between 17.5 and 28.
Percentage = \((15 / 24) \times 100 = 62.5\)%.
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Bridgette owns the Brodhead Bakery. She bakes 2 chocolate cakes for every 3 angel-food cakes.
HELPPPP ASAP
Answer:
Step-by-step explanation:
Chocolate cakes: 2 6 10 14
Angel-food cakes: 3 9 15 21
Amare runs 1/10 mile in 2/3 minutes. What is his speed in miles per minute
Answer:
6 2/3 minutes
Step-by-step explanation:
Amare runs 1/10 mile in 2/3 minutes
Therefore his speed in miles per minutes clean be calculated as follows
= 1/10, the denominator here is 10
= 10 × 2/3
= 20/3
= 6 2/3 minutes
A pair of adjacent angles that form a straight line
Answer:
it is called a linear pair.
mark brainliest pls
Answer:
lianer lines
Step-by-step explanation:
T= 2 pi , square the (fraction l/g0, this is the formula for the period T of a pendulum of length l. Solve this formula for l
Answer:
Below
Step-by-step explanation:
Formula for period of a pendulum
period = T = 2 pi \(\sqrt{L/g}\) Divide both side of the equation by 2 pi THEN square both sides to get
(T/ (2pi) ) ^2 = L/g now multiply both sides by 'g'
g * ( T / (2 pi) )^2 = L Done.
whatre the values of x and y
By using the concept of internal angles of a triangle, the solution of the system of linear equations related to the geometrical system is (x, y) = (40, 40).
What are the values of two variables associated with two angles from a right triangle?
In this system we have a geometrical system formed by two right triangles with a common hypotenuse. Right triangles are triangles where one of its internal angles are right angles and the sum of the measures of the internal angles within a triangle equals 180°. Then, this geometrical system can be modelled by using the following linear equations:
(x + 20) + 90 + 30 = 180 (1)
20 + 90 + (y + 30) = 180 (2)
By using the concept of internal angles of a triangle, the solution of the system of linear equations related to the geometrical system is (x, y) = (40, 40).
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HUH giving out brainiest
Answer: 3/4
Step-by-step explanation:
16/12=4/3
4/3=1/n >>>> 3=4n >>>> 3/4 = n
Obtain an equivalent system by performing the stated elementary operation on the system. Multiply the first equation by1/6(Type integers or simplified fractions.)
Given the system of equations:
\(\begin{gathered} 6x-7y-13z=30\cdots(1) \\ 2x+9y-10z=10\cdots(2) \\ 7x-12y-15z=42\cdots(3) \end{gathered}\)Multiply the first equation by 1/6.
\(\begin{gathered} (6x-7y-13z=30)\times\frac{1}{6} \\ \frac{6x}{6}-\frac{7y}{6}-\frac{13z}{6}=\frac{30}{6} \\ \implies x-1\frac{1}{6}y-2\frac{1}{6}z=5\cdots(4) \end{gathered}\)Therefore, the equivalent system of equations is:
\(\begin{gathered} x-1\frac{1}{6}y-2\frac{1}{6}z=5\cdots(4) \\ 2x+9y-10z=10\cdots(2) \\ 7x-12y-15z=42\cdots(3) \end{gathered}\)Determine the end behavior; that is, find the power function that the graph of f resembles for large values of x.f(x)=−9(x^2+36)(x-2)^3
Function:
\(f\mleft(x\mright)=-9\mleft(x^2+36\mright)\mleft(x-2\mright)^3\)Why does 3x - 7 = 3x + 5 have no solution?
hi
because it lead to mathematical nonsense
3x-7 = 3x+5
3x-7 -3x-5 = 0
-7-5 = 0
-12 =0
-12 = 0 is just not possible, so 3x-7 = 3x +5 has no solution.
She made her fortune by inventing and selling specialized hair products, including an innovative Edge Control product that sold for $0.45 each. Which algebraic expressions describe the total amount of money spent by consumers for any number of Edge Control products sold, e?
Answer:
no
Step-by-step explanation:
A figure is shown, where lines CE and FD intersect at point B.
.
A figure is shown, where lines CE and FD intersect at point B.
.
Angle ABC is complementary to angle DBC.
What is the measure, in degrees of ?
Answer:
Step-by-step explanation:
Its 4.51
Can someone plz help. Will mark brainliest
Answer:
3. 73
4. 1500
Step-by-step explanation:
3. 7*9 = 63, 2*5 = 10, 63+10 = 73
4. 40*30 = 1200, 20*30 = 600 divided by 2 = 300, 1200+300 = 1500
4. A zoo is open for 10 1/2 hours every day. There
are two security guards on duty at a time and each
shift is 3 1/2 hours. How many shifts are there per
day?
A. 1 shift
B. 2 shifts
C. 3 shifts
D. 4 shifts
Answer:
C
Step-by-step explanation:
This can come from process of elimination, 1 shift is not enough. 2 shifts, 3 1/2 + 3 1/2 is 7, meaning it still isn't enough. 4 shifts 7 + 7 is 14, making it to much.
An aerodynamic 1,000 kg car takes about 270 newtons of force to maintain a speed of 25 m/s. how much horsepower is required from the engine to maintain this speed?
Answer:
9.05 horse power
Step-by-step explanation:
Given:
Force = 270 Newton
Speed = 25 m/s
Power = Force * velocity
Power = 270 Newton * 25 m/s
Power = 6750 watt
Recall:
1 horse power = 746 watts
Hence, required horsepower is :
6750 watt / 746 watt
9.048 hp
9.05 horse power
24. How many gallons of ethanol are in a 100 gal mixture that is 10%
ethanol?
By working with percentages, we will see that there are 10 gallons of ethanol in the mixture.
How many gallons of ethanol are in the mixture?We know that we have a mixture with a volume of 100 gallons, and 10% of that mixture is ethanol, so we just need to find the 10% of 100 gallons.
To work with percentages, we will use the equation:
Volume of ethanol = total volume*ratio of ethanol.
V = 100gal*(10%/100%)
V = 100gal*0.10 = 10 gal
There are 10 gallons in the mixture.
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A computer costs £968. A tax of 16.5% is then added to the cost of the computer. Work out the amount of tax that is added to the cost of the computer.
The amount of tax that is added to the cost of the computer is 159.72
How to determine the amount of tax that is added to the cost of the computer.From the question, we have the following parameters that can be used in our computation:
Computer cost = 968
Tax percentage = 16.5%
Using the above as a guide, we have the following:
Tax amount = Computer cost * Tax percentage
substitute the known values in the above equation, so, we have the following representation
Tax amount = 968 * 16.5%
Evaluate
Tax amount = 159.72
Hence, the amount of tax that is added to the cost of the computer is 159.72
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A student attends only 3 out of every 4 days during a summer course. If the student attended 105 days, how many days did the summer course run?
Answer: 140 days
Step-by-step explanation:
3 times 35 is 105 days
35 plus 105 is 140 days
1 point
A bag of marbles contains 17 red marbles, 6 blue marbles, 12 green
marbles and 3 yellow marbles. What is the probability of randomly
selecting a red marble and then a blue marble out of the bag without
replacement (the first marble isn't put back into the bag)? Round your
answer to 2 decimal places.
Your answer
I
A bag of marbles contains 17 red marbles 6 blue marbles, 12 green
Answer:
it's dependent events so multiply each probability
Total marbles = 17+6+12+3=38
P(red) = 17/38
Since without replacement, now total marble is 38-1=37
P(blue)= 6/37
Multiply two probability
(17/38) (6/37) = 0.07
Select all the correct answers. The manufacturer of a popular brand of markers is planning to release a new color. To determine which color to add, it mailed out surveys to 5,000 of its customers regarding the general color family they prefer. The returned results are shown in this pie chart. A Pie Chart with four sections representing the color preferences Blues, Greens, Yellows, and Pinks Based on the results, one member of the management team says they should choose the new color from the blue family of colors since a majority of people prefer those colors. Another member doesn’t agree and thinks they should do more research. Which statements would support her request? The difference among the percentages is not statistically significant enough to make the claim of majority. A majority of the management team prefers the yellow family of colors. Not all color families were represented in the survey, which could cause a nonresponse bias. The mail-in survey may have resulted in an undercoverage bias. Since only existing customers were surveyed, the results were not random.
The statements that would support her request include:
The difference among the percentages is not statistically significant enough to make the claim of majority.Not all color families were represented in the survey, which could cause a nonresponse bias.The mail-in survey may have resulted in an undercoverage bias.Since only existing customers were surveyed, the results were not random.How to illustrate the information?A well-known marker brand's manufacturer intends to introduce a new shade. It mailed surveys to 5,000 of its customers asking them which general color family they preferred in order to decide which color to add.
The percentage difference is not statistically significant enough to support the majority claim. The survey did not include families of every color, which might have led to nonresponse bias.
It's possible that the mail-in survey had an undercoverage bias. Also, the results were not random because only current clients were polled.
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Answer: the other guy is correct except for the "since only existing customers...".
Step-by-step explanation:
Just took the test, the others he mentioned were right
Money is the anthem, of success, so before we go out
What's your address?
I'm your National Anthem, God, you're so handsome
Take me to the Hamptons Bugatti Veyron
He loves to romance 'em, reckless abandon, hold me for ransom, upper echelon
He says to "be cool" but, I don't know how yet, wind in my hair
Hand on the back of my neck
I said, can we party later on, he said, yes
Tell me I'm your National Anthem (Ooh yeah baby bow down, makin' me so wild now)
Tell me I'm your National Anthem (Sugar sugar, how now, take your body downtown)
Red, white, blue's in the skies, summer's in the air and baby, heaven's in your eyes
I'm your National Anthem
Money is the reason we exist
Everybody knows it, it's a fact-kiss, kiss
I sing the National Anthem
While I'm standing over your body hold you like a python
And you can't keep your hands off me, or your pants on
See what you've done to me give me Chevron
You said to "be cool" but, I'm already coolest
I said to "get real, don't you know who you're dealing with?
Um, do you think you'll buy me lots of diamonds
Tell me I'm your National Anthem (ooh yeah baby bow down, makin' me so wild now)
Tell me I'm your National Anthem (sugar sugar, how now, take your body downtown)
Red, white, blue's in the skies, summer's in the air and baby, heaven's in your eyes
I'm your National Anthem
It's a love story for the new age
For the six page, we're on a quick, sick rampage
Winin' and dinin', drinkin' and drivin', excessive buyin'
Overdose and dyin' on our drugs and our love and our dreams and our rage
Blurrin' the lines between real and the fake
God can only, I need somebody to hold me
He will do very well, I can tell, I can tell
Keep me safe in his bell, tower, hotel
Money is the anthem of success
So put on mascara, and your party dress
I'm your National Anthem, boy put your hands up, give me a standing ovation
Boy you have landed, babe in the land of, sweetness and danger, queen of Saigon
Tell me I'm your National Anthem (ooh yeah baby bow down, makin' me so wild now)
Tell me I'm your National Anthem (sugar sugar, how now, take your body downtown)
Red, white, blue's in the skies, summer's in the air and baby, heaven's in your eyes
I'm your National Anthem
Money is the anthem, God, you're so handsome, money is the anthem
Of success
Money is the anthem, God, you're so handsome, money is the anthem
Of success
Money is the anthem, God, you're so handsome, money is the anthem
Of success
Money is the anthem, God, you're so handsome, money is the anthem
Of success
please help asap 100 points
Answers:
Problem #1: Option C, 166 yards cubed
Problem #2: Option A, 10
Step-by-step solution:
The first problem may seem a lot more confusing that it really is and this actually happened to me when I looked at it. Just because the cylinder is slanted that actually doesn't change any of the volume that we would have if it was straight up with the same diameter and height.
Using what we know about cylinders, let us plug all the information inside of the formula to determine the volume of the cylinder. However, before doing that we need to determine the radius of the circle from the diameter that was given.
Divide the diameter by two to get the radius
\(Radius = \frac{Diameter}{2}\)\(Radius = \frac{5.2\ yd}{2}\)\(Radius = 2.6\ yd\)Plug in the values
\(V_{cylinder} = (\pi * radius^2)*height\)\(V_{cylinder} = (\pi * (2.6\ yd)^2)*7.8\ yd\)Simplify the exponent
\(V_{cylinder} = (\pi * (2.6)^2 *(yd)^2)*7.8\ yd\)\(V_{cylinder} = (\pi * 6.76\ yd^2)*7.8\ yd\)Simplify the expression
\(V_{cylinder} = (21.237\ yd^2)*7.8\ yd\)\(V_{cylinder} = 165.65\ yd^3\)Therefore, after simplifying the expression using the cylinder volume formula and the given information we were able to determine that the option that best fits the description of our answer is option C, 166 cube yards.
Now that we completed the first question, we can move onto the second question. In this question we are given a figure along with 3 numbers and one unknown, x, which we need to find the value of. We need to use the Secant-Secant Power Theorem to help determine our solution.
Make an expression to represent the scenario
\(32(x + 32) = 28(20 + 28)\)We know have an expression which we can now simplify and get the value of the unknown easily. The first step would be to distribute the 32 and 28.
Distribute both sides
\(32(x + 32) = 28(20 + 28)\)\((32 * x) + (32 * 32) = (28 * 20) + (28 * 28)\)\(32x + 1024 = 560 + 784\)Simplify the expression
\(32x + 1024 = 1344\)We now have a simple expression where we can now subtract both sides by 1024 to help isolate x with its coefficient.
Subtract 1024 from both sides
\(32x + 1024 - 1024 = 1344 - 1024\)\(32x = 1344 - 1024\)\(32x = 320\)The final step that we have to help fully isolate x by itself is to divide both sides by 32 which would remove the coefficient from x.
Divide both sides by 32
\(\frac{32x}{32} = \frac{320}{32}\)\(x = \frac{320}{32}\)\(x = 10\)After simplifying the expression completely, we are able to see that the best option that fits our description is option A, 10.