Answer:
See answers below
Step-by-step explanation:
Notice that the big trapezoid C consists of Two full squares and half od a square (that makes the right angle triangle left after folding the square)
so:
trapezoid C = 2.5 the size of the square
That makes the smaller trapezoid D = 1.5 the size of the square
and the triangle left = 0.5 the size of the square.
5.-
a) the square is 1/2.5 = 2/5 of C
b) the square is 1/1.5 = 2/3 of D
c) the square is 1/0.5 = 2 times the size of the triangle
d) the square is 1/1 = 1 of itself
6.-
a) Trapezoid C is 5 times triangle A
b) Trapezoid C is 2.5 = 5/2 of the square.
7.-
a) Trapezoid D is 3 times triangle A
b) Trapezoid D is 3/5 of trapezoid C
Of the following fractions: 3/7, 5/8, 7/13, and 11/19, which is the largest?
Answer:
Step-by-step explanation:The largest fraction is 5/8
A new car is bought for $100,000. If the annual depreciation is 10%, find the value of the car after 3 years.
Remaining Amount = 100,000(1 -0.1)3
The value of the car after 3 years is $79, 000
How to determine the valueTo determine the value, we have to use the formula;
Value = Initial value × (1 - Depreciation rate)ⁿ
Substitute the values given, we get;
Remaining value after 3 years = $100,000 × (1 - 0.10)³
Expand the bracket, we get;
Value after 3 years = $100,000 × (0.90)³
Find the cube value and substitute, we have;
Value after 3 years = $100,000 × 0.729
Multiply the values, we have;
Value after 3 years = $72,900
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Find the mean, median, mode 1. 40, 38,29,34,37, 22, 15, 38 2. 26, 32, 12, 18, 11, 14, 21, 12,27 3. 3,3,4,7,5,7,6,7,8,8,8. 9,8, 10, 12, 9, 15, 15
NEED THE ANSWER ASAP
NONSENSE, REPORT
i will (brainliest) if it's correct!!!
Mean: 34.125, Median: 31.5, Mode: 38
Mean: 19.222, Median: 18, No mode
Mean: 8.611, Median: 8, Mode: 8
Let's find the mean, median, and mode for each set of numbers:
Set: 40, 38, 29, 34, 37, 22, 15, 38
Mean: To find the mean, we sum up all the numbers and divide by the total count:
Mean = (40 + 38 + 29 + 34 + 37 + 22 + 15 + 38) / 8 = 273 / 8 = 34.125
Median: To find the median, we arrange the numbers in ascending order and find the middle value:
Arranged set: 15, 22, 29, 34, 37, 38, 38, 40
Median = (29 + 34) / 2 = 63 / 2 = 31.5
Mode: The mode is the number(s) that appear(s) most frequently in the set:
Mode = 38 (appears twice)
Set: 26, 32, 12, 18, 11, 14, 21, 12, 27
Mean: Mean = (26 + 32 + 12 + 18 + 11 + 14 + 21 + 12 + 27) / 9 = 173 / 9 ≈ 19.222
Median: Arranged set: 11, 12, 12, 14, 18, 21, 26, 27, 32
Median = 18
Mode: No mode (all numbers appear only once)
Set: 3, 3, 4, 7, 5, 7, 6, 7, 8, 8, 8, 9, 8, 10, 12, 9, 15, 15
Mean: Mean = (3 + 3 + 4 + 7 + 5 + 7 + 6 + 7 + 8 + 8 + 8 + 9 + 8 + 10 + 12 + 9 + 15 + 15) / 18 ≈ 8.611
Median: Arranged set: 3, 3, 4, 5, 6, 7, 7, 7, 8, 8, 8, 8, 9, 9, 10, 12, 15, 15
Median = 8
Mode: Mode = 8 (appears 4 times)
Mean: 34.125, Median: 31.5, Mode: 38
Mean: 19.222, Median: 18, No mode
Mean: 8.611, Median: 8, Mode: 8
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Help pleaseee
Applying the Solution to a 3X3 System
At a family reunion, there only blood relatives, consisting of children, parents, and grandparents, in attendance. There were 400 people total. There were twice as many parents as grandparents, and 50 more children than parents. How many children, parents, and Grandparents were in attendance?
Show up all steps please
There are 70 grandparents, 140 parents, and 190 children in attendance at the family reunion
Given data ,
Let's denote the number of grandparents as "g", the number of parents as "p", and the number of children as "c".
Given that there were 400 people total at the family reunion, we can write the equation:
g + p + c = 400
Now , there were twice as many parents as grandparents, so we can write:
p = 2g
And we are given that there were 50 more children than parents, so we can write:
c = p + 50
Now we can use the equations (1), (2), and (3) to solve for the values of g, p, and c.
On simplifying the equation , we get
g + 2g + (2g + 50) = 400
5g + 50 = 400
5g = 400 - 50
5g = 350
g = 350 / 5
g = 70
Now we can substitute the value of g into (2) to find the value of p:
p = 2g = 2 x 70 = 140
And we can substitute the value of p into (3) to find the value of c:
c = p + 50 = 140 + 50 = 190
Hence , there were 70 grandparents, 140 parents, and 190 children in attendance at the family reunion
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what is the approximate solution of the linear system represented by the graph below
The approximate solution of the linear system represented by the graph is, (5, 6)
What is the equation of line?The equation of a straight line is a relationship between x and y coordinates, The general equation of a straight line is y = mx + c, where m is the slope of the line and c is the y-intercept.
Given that,
A graph in which two lines are intersecting each other,
basically solution of linear system means where both the lines will intersect,
So, in the graph it can be seen that lines are intersecting around x coordinate 5 and y coordinate 6,
Therefore, the solution is (5, 6)
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PLEASE HELP ME 50 POINTS!!!
Explain how to simplify this expression:
(8a + 8) + (5a – 6).
8a+8+5a−6
=8a+8+5a+−6
Combine Like Terms=8a+8+5a+−6
=(8a+5a)+(8+−6)
=13a+2
=> (8a + 8) + (5a – 6)
=> (8a + 5a) + (8 – 6) [Combine like terms]
=> (13a + 2)
it has been (mathematically) proven that there is no polynomial time algorithm for any np-complete problem.
It has been (mathematically) proven that there is no polynomial time algorithm for any np-complete problem. the given statement is false.
In order to solve previously unsolvable issues, Leonid Khachiyan developed a polynomial-time method, in which the number of processing steps increases as a power of the number of variables rather than exponentially.
Determining whether NP-complete problems are tractable or intractable remains one of the most crucial concerns in theoretical computer science since it is unknown if any polynomial-time algorithms will ever be developed for them.
So, it is unknown if any polynomial-time algorithms will ever be developed for them.
By applying different constraints, a linear function is maximized or reduced in linear programming, a mathematical modelling approach. In commercial planning, industrial engineering, and—to a lesser extent—the social and physical sciences, this method has proven helpful for directing quantitative decisions.
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Seven less than sixteen times a number is equal to the same number reduced by 5. What is the number?
Answer:
x = 2/15
Step-by-step explanation:
first, create a formula or expression
16x - 7 = x - 5
move x, subtract it
15x - 7 = -5
add 7
15x = 2
divide by 15
x = 2/15
sub in to check:
-4.85667 = -4.86667
help babes!
given "if i have a siberian husky, then i have a dog." identify the converse
Answer:
The converse is reversing this statement. If I have a dog, then I have a siberian husky"
Recall the Akaike information Criterion (AIC) as well as the related Bayesian Information Criterion (BIC) from our study of Variable Selection and Model Building. Without heavy mathematical notation, explain how both the AIC and BIC emphasize goodness-of-fit of a regression model while also controlling model complexity. Why would we wish to do this (that is, to promote goodness-of-it while at the same time controlling model complexity)
Step-by-step explanation:
To check out how efficient or accurate a model is, we use the akaike information criterion or the Bayesian. If the AIC or BIC are lower, then this model would be better. They are also used to control for model complexity
Akaike information criterion = 2k-2ln where k is the number of parameter. A higher k gives a higher AIC.
In the real world complex models are discouraged and avoided since
1. They cause data to be over fitted and can capture noise and information from this data.
2. They are complex and therefore difficult to interpret
3. They consume a lot of time and computing them has several inefficiencies.
Using these two as measure of performance, we can select optimal choice of independent variable.
With forward/backward regression, we are able to put new variables in the model or remove from it. The best is the one with lowest AIC.
100 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!
The scale factor and the value of x for each figure is given as follows:
A) Scale factor of 1/3, x = 7 m.
B) Scale factor 0.4747, x = 4.5 in.
How to obtain the scale factor and the value of x?For Figure A, we have that the ratio between the areas is given as follows:
510/4590 = 1/9.
As the area is measured in square units, while the side lengths are measured in units, the scale factor is the square root of 1/9, hence it is given as follows:
1/3.
Then the value of x is obtained as follows:
x = 21 x 1/3
x = 7 m.
For Figure B, we have that the ratio between the areas is given as follows:
16/71 = 0.22535.
The scale factor is then the square root of 0.22535, which is given as follows:
0.4747.
Then the value of x is given as follows:
x = 9.5 x 0.4747
x = 4.5 in.
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The population of a city has increased by 15% since it was last measured if the current population is 43700 what was the previous population?
Answer:
37,145
Step-by-step explanation:
43,700×15%= 6,555
43,700-6,555= 37,145
the previous population was 37,145
calculate the Area of parallelogram GDEF if the base is 5m and the altitude is 3,2m
Step-by-step explanation:
the area of a parallelogram is
baseline × height = 5 × 3.2 = 16 m²
Clara likes the buffet option of chicken, swordfish, roasted potatoes, and brussels sprouts
for $23 per person. She does not think everyone will eat the swordfish, so she decides to
only do a half portion of swordfish per guest, which means half the price. If the original
price of the swordfish was $7 per guest, what will the new overall price of the buffet be
per person?
The unitary method is used to find the unit value of the quantity. The price for the buffet after taking half portion of swordfish will be $19.5.
What is Unitary method?In order to solve a problem for two different values of a quantity, its unit value is first derived. This method is known as unitary method.
Given that,
The price for complete buffet is $23 per person.
The price for swordfish per guest is $7.
Then, the price for half portion swordfish is $7 / 2 = $3.5.
Now, the price of buffet without swordfish is $23 - $7 = $16.
Thus, after taking only half portion of swordfish the new price becomes,
$16 + $3.5 = $19.5
Hence, the new price of the buffet for each person will be $19.5.
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29. Find x and the dimensions of the rectangle below.
A = 126 ft²
x+2
x-3
The x value is 12, length is 14 feet and breath is 9 feet when the area of rectangle is 126 square feet.
Given that,
The rectangle has a surface area of 126 square feet.
The length is x+2 and the breath is x-3.
We have to find the x value, length and breath.
We know that,
The area of the rectangle is length × breath.
126=(x+2)(x-3)
126= x²-3x+2x-6
126= x²-x-6
x²-x-6-126=0
x²-x-132=0
x²-12x+11x-132=0
x(x-12)+11(x-12)=0
(x-12)(x+11)=0
x-12=0 or x+11=0
x=12 or x=-11
We take the x as positive so its 12.
Length is x+2=12+2=14
Breath is x-3=12-3=9
Therefore, The x value is 12, length is 14 feet and breath is 9 feet when the area of rectangle is 126 square feet.
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Two coins are tossed. What is the probability of both coins landing on heads?
The probability of both coins landing on heads when two coins are tossed is 1/4, or 0.25, or 25%.
When two coins are tossed, there are four possible outcomes: both coins can land on heads (HH), both coins can land on tails (TT), the first coin can land on heads and the second coin on tails (HT), or the first coin can land on tails and the second coin on heads (TH).
Since we are interested in the probability of both coins landing on heads, we need to determine the number of favorable outcomes (HH) out of the total number of possible outcomes.
Out of the four possible outcomes, only one outcome is favorable (HH). Therefore, the probability of both coins landing on heads is 1 out of 4.
In fraction form, this can be written as 1/4. The probability can also be expressed as a decimal, which is 0.25, or as a percentage, which is 25%.
It's important to note that in this case, we assume that the coins are fair and unbiased, meaning that the probability of landing on heads is equal to the probability of landing on tails, which is 1/2 or 0.5 for each coin individually.
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In a lottery, the top cash prize was $642 million, going to three lucky winners. Players pick five different numbers from 1 to 56 and one number from 1 to 49.
Save
A player wins a minimum award of $225 by correctly matching three numbers drawn from the white balls (1 through 56) and matching the number on the gold ball (1 through 49). What is the probability of winning the minimum award?
The probability of winning the minimum award is
Total number of possible outcomes:
Number of ways to choose 3 numbers from 56 (56 choose 3): 56! / (3! * (56 - 3)!) = 22,957
Number of ways to choose 1 number from 49: 49
Total number of possible outcomes = 22,957 * 49 = 1,128,593
Number of favorable outcomes:
Number of ways to choose 1 number from 49: 1
Number of favorable outcomes = 1
Probability of winning the minimum award:
Probability = Number of favorable outcomes / Total number of possible outcomes
Probability = 1 / 1,128,593 ≈ 0.000000888, or approximately 0.0000888%
Primitive function for:
1. f(x)=4e2x+e−x, sådan att F(0)=2
The primitive function for \(f(x) = 4e^{2x} + e^{-x}\) is given by it's indefinite integral.
To calculate it, recall:
\(\frac{d}{dx}e^{ax}=ae^{ax}\)
\(\int c f(x)dx = c\int f(x)dx\)
Let's begin
\(\int 4e^{2x}+e^{-x}dx \\4\int e^{2x}dx+ \int e^{-x}dx\\4\frac{e^{2x}}{2}+\frac{e^{-x}}{-1} + c\\\)
\(F(x) = 2e^{2x}-e^{-x} +c\)
To find the costant, we just need to use the fact that \(F(0)=2\)
\(F(0) = 2 \\4e^{0}+e^{0} + c =2\\5+c =2\\c=-3\)
Therefore,
\(\boxed{F(x) = 2e^{2x} - e^{-x} -3 }\)
can someone please help me
50 points
Answer:.
Step-by-step explanation im not sure
Answer:
Step-by-step explanation:
47.) sin20 = 6/b
b = 6(sin20) = 17.5
c = √6²+17.5² = 18.5
48.) tan61 = y/18
y = 18(tan61) = 32.5
z = √18²+32.5² = 37.1
49.) r = √25²+23² = 34
50). d = √30²+7² = 30.8
51.) sin71 = j/19
j = 19(sin71) = 18
k = √19²-18² = 6.2
52.) y = √4²-1² = √7 = 2.6
53.) sin49 = f/26
f = 26(sin49) = 19.6
h = √26²-19.6² = 17
54.) t = √7²+4² = 8.1
Dimitri has let out 40m of his kite string, which makes an angle of 72° with the horizontal ground. If the kite flies directly over Sarah's head, what is the distance between Dimitri and Sarah?
Using the cosine ratio, the distance between Dimitri and Sarah is calculated as approximately 12.4 m.
How to Apply the Cosine Ratio?The cosine ratio is a trigonometric ratio that represents the ratio of the length of the adjacent side to the length of the hypotenuse in a right triangle. It is calculated by dividing the length of the adjacent side by the length of the hypotenuse.
Using the cosine ratio, we have:
Reference angle (∅) = 72 degrees
Hypotenuse length = 40 m
Adjacent length = distance between Dimitri and Sarah = x
Plug in the values:
cos 72 = x/40
x = cos 72 * 40
x ≈ 12.4 [to one decimal place]
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At a local fitness center, gym members pay $3 per workout with an annual membership fee of $140. Non-members pay $10 per workout. If you plan on working out an average of twice a month for the next year, is a membership worth the investment? Show your thinking
PLEASE HELP
Answer:
Yes the membership is worth it. If you have a membership you will pay $140 for the whole year. Then, it is $3 everytime you workout and if you plan on working out 2 times a month the total will be $72 dollars. So $72 + $140 is $212 yearly. If you don't get the membership you pay $20 a month because you will workout twice a month. So, 20 times 12 is $240. It may seem like it's not worth it but it actually comes out cheaper. So, yes I do think the membership is worth it.
Step-by-step explanation:
Hope you find this helpful. If you have questions feel free to ask.
Find the solution set for the following problem.Two times a number increased by one is at least seven. {xl x>-3) {x| x >-3) {xl x < 3) {x| x > 3]
Solution
Step 1
Write an expression for the question
Let the number be x
2x + 1 ≥ 7
2x ≥ 7 -1
2x ≥ 6
2x/2 ≥ 6/2
x ≥ 3
Step 2
Write the solution set for the problem
{x | x ≥ 3} Option D
Question 1 of 25
How does the graph of g(x)= x + 4 compare with the graph of the parent
function, f(x) = x?
A. The graph of g(x) is compressed vertically by a factor of 4.
B. The graph of g(x) is shifted 4 units up.
C. The graph of g(x) is shifted 4 units to the right.
D. The graph of g(x) is compressed horizontally by a factor of 4.
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SUBMIT
The graph of g(x) is shifted 4 units up from the parent function
How does the graph of g(x) compare with the parent function f(x)?The equation of the parent function f(x) is given as
f(x) = x
The transformed function is given as
g(x) = x + 4
Substitute the known values in the above equation, so, we have the following representation
g(x) = f(x) + 4 or g(x) = f(x + 4)
This means that the function is shifted to the left by 4 units or it is shifted up by 4 units
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A circle has a diameter of 4.5 cm. A larger circle has a diameter of 24
cm. What is the approximate difference in the circumferences of the
two circles?
A 19.5 cm
B. 28.5 cm
C. 61 cm
D. 90 cm
The approximate difference in the circumferences of the two circles is: C. 61 cm.
How to calculate the circumference of a circle?Mathematically, the circumference of a circle can be calculated by using this mathematical expression:
C = 2πr or C = πD
Where:
C represents the circumference of a circle.D represents the diameter of a circle.r represents the radius of a circle.Substituting the given parameters into the circumference of a circle formula, the circumference of the small circle is;
Circumference of circle, C = πD
Circumference of circle, C = 3.14 × 4.5
Circumference of circle, C = 14.13 cm.
For the larger circle, we have:
Circumference of circle, C = 3.14 × 24
Circumference of circle, C = 75.36 cm.
Difference = 75.36 cm - 14.13 cm.
Difference = 61.23 ≈ 61 cm.
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On average, Nathaniel drinks
4/5 of a 10-ounce glass of water in
2 2/5
hours. How many glasses of water does he drink in one hour? Enter your answer as a whole number, proper fraction, or mixed number in simplest form.
Nathaniel drinks 3 glasses of water in one hour.
To find out how many glasses of water Nathaniel drinks in one hour, we need to calculate his drinking rate per hour.
In 2 2/5 hours, Nathaniel drinks 4/5 of a 10-ounce glass of water.
Let's convert the mixed number of hours to an improper fraction:
\(2\frac{2}{5} = \frac{(5 \times2 + 2)}{5}\)
\(=\frac{12}{5}\)
Now, we can set up a proportion to find his drinking rate per hour.
We know that \(\frac{12}{5}\) hours corresponds to \(\frac{4}{5}\) of a glass of water.
Let's assign "x" as the number of glasses he drinks in one hour.
The proportion is then
\(\frac{(\frac{12}{5} hours) }{(x glasses) } =\frac{(\frac{4}{5} glass)}{(1 hour)}\)
Cross-multiplying gives us
\((\frac{12}{5} )\times1=\frac{4}{5}\times(x)\)
Simplifying, we get
\(\frac{12}{5} =\frac{4}{5}\times x\)
Dividing both sides by \(\frac{4}{5}\), we find x:
\(x=\frac{(\frac{12}{5} )}{\frac{4}{5} }\)
\(x=\frac{12}{4}\)
\(x = 3.\)
Therefore, Nathaniel drinks 3 glasses of water in one hour.
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Lydiagrace33
Image attached
A) 1 point Write an inequality for this graph . Use the shift key and the key or key to type the < or > symbol . *
B) Water boils when the temperature is at least 212 degrees F. Which inequality shows this situation ?
C) When the temperature drops below 50 degrees F , crickets usually stop chirping . Which inequality shows this situation ?
D) Explain the difference between the meaning of a closed
circle and an open circle on a graph of an inequality .
Combine the like terms to create an equivalent expression.
10k+1+8k+2=10k+1+8k+2
For Justin Bieber's last concert, 20 000 tickets were sold for $100 each.
He is considering changing the ticket price for his next concert. Every
time the ticket price is reduced by $10, then 5000 more people will buy
tickets. What ticket price will maximize the revenue from the sales? *
Answer:
is this on your test?...or?
Step-by-step explanation:
Find the distance between the two points rounding to the nearest tenth.
(1,-3) and (-7,2)
Answer:
Length between two points is given as √(x1-x2)²+(y1-y2)², where x and y are the coordinates of the points.
Distance = √(1-(-7))²+(-3-2)²
= √8²+(-5)²
= √64+25
= √89
= 9.43
= 9.4 (nearest tenth)
Find the distance between these points in two ways: (-2, 5) and (4, 13).
a. Use the point ( - 2, 5) as (x1, y1) and the point (4, 13) as (x2, y2) in the distance
formula.
Answer:
\(\displaystyle d = 10\)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Algebra II
Distance Formula: \(\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)Step-by-step explanation:
Step 1: Define
Point (-2, 5)
Point (4, 13)
Step 2: Identify
x₁ = -2, y₁ = 5
x₂ = 4, y₂ = 13
Step 3: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d
Substitute in points [Distance Formula]: \(\displaystyle d = \sqrt{(4+2)^2+(13-5)^2}\)[Distance] [√Radical] (Parenthesis) Add/Subtract: \(\displaystyle d = \sqrt{(6)^2+(8)^2}\)[Distance] [√Radical] Evaluate exponents: \(\displaystyle d = \sqrt{36+64}\)[Distance] [√Radical] Add: \(\displaystyle d = \sqrt{100}\)[Distance] [√Radical] Evaluate: \(\displaystyle d = 10\)