Answer:
This drawn graph is the answer
Step-by-step explanation:
Semisuma lungimii bazelor este formula de calcul pentru: *
Answer:
Can I Know Which Language Is This??
Williana’s mother wants to buy a glass tabletop for their dining room table. The tabletop is shaped like a hexagon with sides measuring 27. 75 inches. If the glass costs $0. 06 per square inch, how much will she spend on the glass table top?
$
The total amount that Williana's mother would spend to buy the glass table top is $120.04.
What is the total cost of the glass table top?The first step is to determine the area of the glass table top.
Area of a hexagon = [(3√3)/2] x a²
a = side length
2.598 x 27.75² = 2000.68 in²
Cost of the table top = 2000.68 in² x 0.06 = $120.04
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Solve the system of linear equations by graphing.
y=-x+4
y=2x-8
Answer:
Step-by-step explanation:
I graphed these equations on desmos, the solution is the point where they intercept. The point where they intercept or the solution is (4, 0)
10) Write the explicit formula for the arithmetic sequence below and use it to find the 52nd term:
37,29,21,13
The sequence of arithmetic sequence be 37, 29, 21, 13 then the 52nd term exists 445.
What is meant by arithmetic sequence?The term "arithmetic sequence" refers to an ordered collection of numbers with a common difference between each succeeding word.
Arithmetic sequences are those that contain these patterns. The difference between successive terms in an arithmetic series is constant.
An arithmetic sequence, also known as an arithmetic progression, is a set of numbers where each term differs from the one before it. The arithmetic sequence formula makes it simple to determine a term's value and the sequence's common difference.
The AP's first period is 37.
Common difference = 37 - 29 = 29 - 21 = 8.
Let the equation of arithmetic sequence be a + ( n - 1 )d, where d is the common difference and a is the first term.
To find the 52nd term, we get
substitute the values in the above equation, we get
⇒ 37 + ( 52 - 1 )8
simplifying the above equation, we get
⇒ 37 + ( 51 )8
⇒ 37 + 408
⇒ 445
Therefore, the 52nd term of the arithmetic sequence exists 445.
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Please explain or show work
-2x + 3y = 12
2x + 3y = 0
Answer:
See below
Step-by-step explanation:
This is a system of equations. That means you are trying to find the point that makes both lines true at the same time.
To do this you have to solve for one variable at a time. Luckily, these equations already have one variable that will cancel. If you add 2x and -2x, you get 0. I'm going to line these up like a vertical math problem to show you how it works.
-2x + 3y = 12
2x +3y = 0 Add together
-------------------
0x + 6y = 12 Simplify by removing the 0x
6y =12 Divide both sides by 6 to solve for y
y = 2
Plug 2 in for y in one of the original equations.
2x + 3(2) = 0
2x + 6 = 0 Subtract 6 from both sides
2x = -6 Divide by 2 to solve for x
x = -3
The point that makes both lines true is (-3,2). This is where the lines intersect.
The mass of Earth is approximately 5.97 x 1024 kilograms. The mass of Venus is approximately 4,870,000,000,000
kilograms. What is the difference between the approximate masses, in kilograms, of Earth and Venus? Express your
answer in scientific notation.
Therefore, the difference in mass between Earth and Venus is approximately 5.96513 x 10^24 kilograms.
Mass of venus calculation.
The difference in mass between Earth and Venus is:
5.97 x 10^24 kg - 4.87 x 10^12 kg
To subtract these two values, we need to express them in the same scientific notation. Since 4.87 x 10^12 is much smaller than 5.97 x 10^24, we can express it in scientific notation with the same exponent as the mass of Earth:
4.87 x 10^12 kg = 0.00487 x 10^24 kg
Now we can subtract the two values:
5.97 x 10^24 kg - 0.00487 x 10^24 kg = 5.96513 x 10^24 kg
Therefore, the difference in mass between Earth and Venus is approximately 5.96513 x 10^24 kilograms.
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write the equation of the graph below into slope-intercept form
Which of the following is a fully factored expression of 24x – 56y + 72?
A. 8(3x – 7y) + 72
B. 80(3x – 7y)
C. 8(3x – 7y + 9)
D. 24x – 56y + 72
Answer:
a fully factored expression of 24x -56y+72 is c.8(3x-7y+9).
Which value is the solution to the equation 2b + 5b - 7 = 14. When the replacement set is {2, 3, 4, 5}?
Answer:
2.25
Step-by-step explanation:
2b + 2b - 4=5
Add 2b + 2b
bring down the -4 and 5
4b - 4=5
4b= 5+4
Add 5 + 4=9
4÷4b=9÷4 -Divide n both side
cancel the 4 sense their the same and bring down the B
Divide 9 and 4
9÷ 4= 2.25
B=2.25
Please solve this. 20 points
Answer:
6/7
Step-by-step explanation:
thank and rank pls
A teacher purchased a fish tank for her classroom. The dimensions of the tank are 34 inches by 58 inches by 42 inches. What is the maximum amount of water that the tank can hold? a. 82,824 in3 c. 41,412 in3 c. 2,436 in3 d. 1,972 in3
The maximum amount of water that the tank can hold is 82,824 cubic inches, which corresponds to option (a) in the given answer choices.
To find the maximum amount of water that the tank can hold, we need to find the volume of the tank. The volume of a rectangular prism (which is what a fish tank is) can be found by multiplying the length, width, and height of the prism.
Volume = length x width x height
Plugging in the given dimensions of the fish tank, we get:
Volume = 34 in x 58 in x 42 in
Volume = 82,824 in^3
Therefore, Correct option is A.
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Which of the following is the least cost for a television before taxes?
F) $915 at TV outlet
G) $959 at Joe’s TV Store with a 15% discount
H) $1,000 at Mega TVs with a $100 rebate
J) $925 at Ray’s TVs with a $20 off coupon
Answer:
G is cheapest at $815.15
Step-by-step explanation:
F-cost is 915
g cost is 85% (100-15=85%) so .85 x 959=815.15
h 1000-100=900
j 925-20=905.
The shoe sizes of 30 people are recorded in the table below, but one of the
frequencies is missing.
Shoe size Frequency
11
3
4
5
A
7
Answer: A=12
Step-by-step explanation:
Shoe Sizes: Frequency:
3 11
4 A
5 7
The frequency is how many people have the shoe sizes. For example, 11 people have shoe size 3, and 7 people have shoe size 5. Since 30 people's shoe sizes were recorded, 30 - (11+7) will be the answer.
30 will be from the 30 people whos shoe sizes were recorded. The 11 will be from the people with shoe size 3, and the 7 will be from the people with shoe size 5. So, 30 - 18 = 12.
12 people have shoe size 4.
what is 9x+15y=45 in slope intercept form
Answer:
y= - 3/5 x+3
Step-by-step explanation:
-\frac{3}{5}x+3:\quad -\frac{5x-15}{3}
I know that looks like it makes no sence but im pretty sure your answer is
y= - 3/5 x+3 or m= - 3/5
Resting heart rates, in beats per minute, were recorded for two samples of people. One sample was from people in the age group of 20 years to 30 years, and the other sample was from people in the age-group of 40 years to 50 years. The five-number summaries are shown in the table. Minimum Q1 Median Q3 Maximum Age-Group (years) 20 to 30 60 71 72 75 84 40 to 50 60 70 73 76 85 The values of 60, 62, and 84 were common to both samples. The three values are identified as outliers with respect to the age-group 20 years to 30 years because they are either 1.5 times the interquartile range IQR greater than the upper quartile or 1.5 times the IQ R less than the lower quartile. Using the same method for identifying outliers, which of the three values are identified as outliers for the age- group 40 years to 50 years? (A)None of the three values is identified as an outller. (B)Only 60 is identified as an outlier. (C)Only 60 and 62 are identified as outliers, (D)Only 60 and 84 are identified as outliers, (E)The three values are all identified as outliers.
The three values (60, 62, and 84) are identified as outliers for the age group 40 years to 50 years is D. Only 60 and 84 are identified as outliers
we need to use the same method as for the age group 20 years to 30 years.
The interquartile range (IQR) for the age group 40 years to 50 years is calculated as follows:
Q3 - Q1 = 76 - 70 = 6
To identify outliers, we consider values that are either 1.5 times the IQR greater than the upper quartile (Q3 + 1.5 * IQR) or 1.5 times the IQR less than the lower quartile (Q1 - 1.5 * IQR).
For the age group 40 years to 50 years:
Upper limit = Q3 + 1.5 * IQR = 76 + 1.5 * 6 = 85
Lower limit = Q1 - 1.5 * IQR = 70 - 1.5 * 6 = 61
Now let's compare these limits with the three values:
60 is less than the lower limit (61), so it is considered an outlier.
62 is between the lower and upper limits, so it is not considered an outlier.
84 is greater than the upper limit (85), so it is considered an outlier.
Therefore, the values identified as outliers for the age group 40 years to 50 years are 60 and 84. The value 62 is not considered an outlier.
The correct answer is (D) Only 60 and 84 are identified as outliers.
By applying the same method of identifying outliers based on the 1.5 times IQR rule, we can determine which values fall outside the acceptable range for each age group. Therefore, Option D is correct
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Please help
State whether or not the pairs of events described below are mutually exclusive.
a) A: A die is rolled and shows a 6.
B: A die is rolled and shows an odd number.
b) A: Selecting a child with blue eyes from a class.
B: Selecting a left handed person from a class.
As a result, both the event of choosing a child with blue eyes and the event of choosing a left-handed individual may happen at the same time.
what is probability ?Probability is a metric for determining the probability or chance that a specific event will take place. It is represented by a number between 0 and 1, where 0 denotes an impossibility and 1 denotes a certainty. The likelihood of flipping a coin and receiving heads, for instance, is 0.5 because there are two possible results (heads or tails), and each has an equal likelihood of happening. Similar to this, there are six potential outcomes on a six-sided die, but only one of them is a 4, so the likelihood of rolling a 4 is 1/6.
given
a) Because a die roll can produce either an even number or an odd number, but not both, the occurrences are mutually exclusive.
Therefore, it is impossible for the events of rolling a 6 and an unusual number to happen at the same time.
b) The two things are not necessarily mutually exclusive because a kid could have blue eyes and be left-handed.
As a result, both the event of choosing a child with blue eyes and the event of choosing a left-handed individual may happen at the same time.
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Do you best to explain how the following diagram demonstrates the Pythagorean theorem
Answer:
Step-by-step explanation:
The theorem states that the square on the hypotenuse (longest side) of a right triangle equal the sum of the squares on the other 2 sides.
Counting the small squares gives us these areas.
We see that
Sum of squares on hypotenuse = 25.
and sum of squares on the other 2 sides = 9 and 16 which equals 25.
write an equation for a degree 6 polynomial with a root at 3, a double root at 2, and a triple root at -1, and has a y-int at 5..
The equation of the degree 6 polynomial with a root at 3, a double root at 2, and a triple root at -1, and y-intercept at y = 5 is given as follows:
y = -5/12(x - 3)(x - 2)²(x + 1)³.
How to define the polynomial?The equation of the function is obtained considering the Factor Theorem, as a product of the linear factors of the function.
The zeros of the function, along with their multiplicities, are given as follows:
Zero at x = 3 with a multiplicity of 1.Zero at x = 2 with a multiplicity of 2.Zero at x = -1 with a multiplicity of 3.Then the linear factors of the function are given as follows:
(x - 3).(x - 2)².(x + 1)³.The function is then defined as:
y = a(x - 3)(x - 2)²(x + 1)³.
In which a is the leading coefficient.
When x = 0, y = 5, due to the y-intercept, hence the leading coefficient a is obtained as follows:
5 = -12a
a = -5/12
Hence the polynomial is:
y = -5/12(x - 3)(x - 2)²(x + 1)³.
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Given sin θ = - √13/7 and angle θ is in Quadrant III, what is the exact value of cosθ in simplest form? Simplify all radicals if needed.
Answer: cosθ =
The exact value of cosθ in simplest form is cosθ = -2√3/7.
The answer is cosθ = -2√3/7.
Given that sinθ = -√13/7 and angle θ is in Quadrant III, we can determine that cosθ is negative in Quadrant III. Using the Pythagorean identity sin²θ + cos²θ = 1, we can solve for cosθ. Since sinθ = -√13/7, we have (-√13/7)² + cos²θ = 1. Simplifying, 13/49 + cos²θ = 1, and rearranging, we find cos²θ = 36/49. Taking the square root of both sides, we have cosθ = ±6/7. Since cosθ is negative in Quadrant III, the exact value of cosθ in simplest form is cosθ = -6/7. Simplifying further, we get cosθ = -2√3/7.
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Hi, can you help me answer this question please, thank you
Given:
An organization reported that teenagers spent 3.75 hours per day on an average using their phones.
The claim is that the mean time teenagers spend using their phones is greater than 3.75 hours.
The null and alternative hypothesis respectively is,
\(\begin{gathered} H_o=\mu=3.75\text{ hours} \\ H_a=\mu>3.75\text{ hours } \end{gathered}\)During a long weekend, Devon paid a total of x dollars for a rental car so he could visit his family. He rented the car for 7 days at a rate of $54 per day. There was an additional charge of $0.35 per mile after the first 100 miles driven.
a. Write an algebraic expression to represent the amount Devon paid for additional mileage only.
b. How much did Devon pay for additional mileage if he paid a total of $421 for the car rental?
Answer:
a. Letting m represent the number of additional miles driven, we have .35m.
b. Devon paid $43 for additional mileage.
Step-by-step explanation:
For part b: $421 - ($54 × 7)
= $421 - $378 = $43
The algebraic expression to represent the amount Devon paid for additional mileage only is 0.35m and Devon pays for additional mileage if he paid a total of $421 for the rental car is $43.
What is linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
During a long weekend, Devon paid a total of x dollars for a rental car so he could visit his family. He rented the car for 7 days at a rate of $54 per day.
For part (a):
Write an algebraic expression to represent the amount Devon paid for additional mileage only.
The amount Devon paid for additional mileage only = 0.35m
For part (b):
Devon pays for additional mileage if he paid a total of $421 for the car rental is:
= $421 - ($54 × 7)
= $43
Thus, the algebraic expression to represent the amount Devon paid for additional mileage only is 0.35m and Devon pays for additional mileage if he paid a total of $421 for the rental car is $43.
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Bruh can someone please help me
4(1-x)=6(x-1) denkleminde x kaçtır ?
Answer: x = 1
Step-by-step explanation: 4(1-x) = 6(x-1)
- 4-4x = 6x-6
- 6x-4x = 6-4
- 2x = 2
- x= 1
-22 x (- 58/209) what the answer?!?!
Answer:
-22 x ( -58/209) = 116/19
Step-by-step explanation:
Describe a scenario where the average can be misleading. And if the average is misleading, what measure of center could you use instead? And why?
Answer: When the mean doesn't show what the results really mean. The mean treatment outcome (or average) is often reported in comparing the results of different groups in a clinical trial. ... The mean may be misleading because of uneven spread in the results or uncertainty about whether patients had an important improvement.
Step-by-step explanation:
The arithmetic mean of two terms in an arithmetic sequence is 42 . One term is 30 . Find the other term.
The arithmetic mean of two terms in an arithmetic sequence is 42 .
What is sequence?One term is 30 then other term is
42 = (x+30)/2
x=54
An ordered group of numbers with a shared difference between each succeeding word is known as an arithmetic sequence. For instance, the common difference in the arithmetic series 3, 9, 15, 21, and 27 is 6.
Arithmetic sequences are sequences containing these patterns. The distance between succeeding terms in an arithmetic series is always the same. The difference between consecutive words is always two, hence the sequence 3, 5, 7, 9... is arithmetic.
An explicit formula that states a = d (n - 1) + c, where d is the common difference between succeeding words, and c = a1, can be used to establish an arithmetic sequence.
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If f(x) = 3 ^ x, prove that f(x) + f(x + 1) = 4f (x) .
Answer:
see explanation
Step-by-step explanation:
Given
f(x) = \(3^{x}\) , then
f(x + 1) = \(3^{x+1}\) = \(3^{x}\) × 3
Then
f(x) + f(x + 1)
= \(3^{x}\) + 3. \(3^{x}\) ← factor out \(3^{x}\) from each term
= \(3^{x}\) (1 + 3)
= 4. \(3^{x}\)
= 4f(x)
In the first half of last year, a team won 60 percent of the games it played. In the second half of last year, the team played 20 games, winning 3 of them. If the team won 50 percent of the games it played last year, what was the total number of games the team played last year?
A) 60
B) 70
C) 80
D) 90
E) 100
The total number of games the team played last year was 80 (option C). In the first half of the year, the team won 60 percent of their games, indicating that they won 6 out of every 10 games played.
In the second half of the year, the team played 20 games and won 3 of them. This means that in the second half, they won only 3 out of 20 games, which is equivalent to winning 15 percent of their games.
To find the overall percentage of games won, we can calculate the weighted average of the two percentages. Since the team won 50 percent of their games overall, we can assign equal weights to the first and second halves of the year. Therefore, the average winning percentage for the team would be the midpoint between 60 percent and 15 percent, which is (60% + 15%) / 2 = 37.5%.
Let's assume the total number of games played last year was x. Since the team won 37.5% of the games, they won 0.375x games. We can set up an equation based on the information given:
0.375x = 50% of x
0.375x = 0.5x
0.5x - 0.375x = 0
0.125x = 0
x = 0 / 0.125
x = 0
However, we have arrived at an invalid result. It seems there is an error in the information provided or the calculations made.
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Region of quipped random samples of 56 Mel and 56 female students from a large university with a small device that secretly record sound for a random 30 seconds during each 12.5 minute period over two days then they counted the number of words spoken by each subject during each recording. From this estimate how long many words per day each student speaks the female estimates had a mean of 16,177 words per day with a standard deviation of 7520 words per day. For the mail estimate the mean was 16,569 and Santa deviation was 9108 do these data provide convincing evidence at 0.05 significance level of a difference in the average number of words spoken in a day but all males and female student at this university
Based on the given data, there is not enough evidence to suggest a significant difference in the average number of words spoken per day between male and female students at this university at a significance level of 0.05.
How to calculate the valueThe critical value will be:
= ✓(55)(7520²) + (55)(9108²))/(56 + 56 - 2))
≈ 8285.89
t = (16177 - 16569) / (8285.89 * ✓(1/56 + 1/56))
≈ -0.4704
The critical value for a two-tailed test with α = 0.05 and df = 110 is approximately ±1.983.
Since the absolute value of the test statistic (0.4704) is less than the critical value (1.983), we fail to reject the null hypothesis.
Therefore, based on the given data, there is not enough evidence to suggest a significant difference in the average number of words spoken per day between male and female students at this university at a significance level of 0.05.
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Find the area of the triangle whose vertices are (2, 3); (-1, 0); (2, -4)...
[Also show the steps of the solution]
Please answer correctly, it's really urgent!
Answer:
Area = 14.5
Step-by-step explanation:
Let's label the given coordinates A, B, C;
Thus;
A = (2, 3)
B = (-1, 0)
C = (2, -4)
From the coordinate geometry formula, the formula for area of a triangle with 3 vertices is;
Area = [Ax(By - Cy) + Bx(Cy - Ay) + Cx(Ay - By)]/2
Area = [2(0 - (-4)) + (-1)(-4 - 3) + 2(3 - (-4))]/2
Area = 29/2
Area = 14.5