The mean, Median, mode, and range are all the same in this particular case because the data set contains only one value.
The mean, median, mode, and range of a data set, we need to multiply each value in the data set by 2 and then calculate the corresponding statistics.
Given the data set: 2893103
If we multiply each value by 2, the new data set becomes: 5786206
Mean:
The mean is calculated by summing up all the values in the data set and then dividing by the total number of values. In this case, the sum of the new data set is 5786206. Since there is only one value in the data set, the mean is equal to that value. Therefore, the mean is 5786206.
Median:
The median is the middle value when the data set is arranged in ascending order. In this case, there is only one value, so the median is equal to that value. Therefore, the median is 5786206.
Mode:
The mode is the value that appears most frequently in the data set. In this case, there is only one value, so there is no mode.
Range:
The range is the difference between the maximum and minimum values in the data set. In this case, the maximum value is 5786206 and the minimum value is also 5786206. Therefore, the range is 0.
In summary:
Mean: 5786206
Median: 5786206
Mode: No mode
Range: 0
the mean, median, mode, and range are all the same in this particular case because the data set contains only one value.
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What is the equation of the line in slope-intercept form?
-2
=-=x+4
v=-15)+4
5
2
V=--x-4
5
2
V=--x+4
The equation of the line in slope-intercept form is y = 3x + 4.
We can use the combination formula to determine how many different packages can be created from a set of 24 crayons with 36 different colours.
The formula for the mixture is provided by:
n C r equals n!/r! (n-r)!
where r is the number of items we want to choose, n is the total number of items, and! stands for the factorial of a number, which is the sum of all positive integers up to that number.
In this instance, we are trying to determine how many various methods there are to choose 24 crayons from a set of 36 colours, regardless of the sequence in which they are chosen. Consequently, we can apply the following combination formula:
36 C 24 = 36! / (24! * 12!)
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What is the multiplicative rate of change for the exponential function f(x)=2(5/2)^-x
The multiplicative rate of change for the exponential function is
5/2How to find the multiplicative inverseThe multiplicative rate of change for an exponential function is determined by the base of the exponent.
In this case, the function is f(x) = 2(5/2)⁻ˣ,
where the base of the exponent is (5/2).
The multiplicative rate of change for an exponential function with a base greater than 1 is greater than 1, indicating exponential growth. Conversely, if the base is between 0 and 1, the multiplicative rate of change is less than 1, representing exponential decay.
In this function, the base (5/2) is greater than 1.
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Hi can someone help me out this is due tomorrow thank you
To calculate the Mean of Scott's test score,
Mean is calculated by adding all the scores provide and dividing the sum by total counts of the numbers.
Mean = 75 + 52 + 80 + 88 + 100 = 395 = 79
5 5
Mean of the given scores is 79
MedianMedian is the number that appears in the middle when the given scores are arranged in ascending order.
Median = 52, 75, 80, 88, 100. = 80
80 is the number that appears in the middle.
Median = 80.
Mode
Mode is the number that appears most frequently in the given numbers.
In this scenario, all the numbers given appear once. Therefore, Mode is 0
Mode = 0
2. Olivia's test scoresMean = 98+92+88+92+95 = 465 =93
5 5
Mean = 93
Median
Test scores= 88,92,92,95,98
Median = 88, 92, 92, 95, 98
The number that appears in the middle is 92
Median = 92
Mode
Mode is the number that appears most frequently in the given numbers
Test scores = 88,92,98,92,95
92 appears more than once out of the test scores, therefore, 92 is the mode
Mode= 92
3. GemmaMean = 84+92+85+73+86 = 420 =84
5 5
Mean = 84
Median
Test scores= 84,92,85,73,86
Median = 73,84,85,86,92
85 is the number that appears in the middle
So, median= 85
Mode
Test scores= 84,92,85,73,86
Mode is the number that appears most frequently in the given numbers. All the numbers appear once. Therefore, Mode = 0
4. ChrisTest scores= 88,86,93,88,90
Mean
Mean = 88+86+93+88+90 = 445 = 89
5 5
Mean = 89
Median
Test scores= 88,86,93,88,90
Median = 86,88,88,90,93
88 is the number that appears in the middle
Median = 88
Mode
Test scores= 88,86,93,88,90
Mode is the number that appears most frequently in the numbers. 88 appears twice out of the numbers.
Mode = 88
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The question what function matches the graph?
A) linear
B) exponential
C)Geometric
D)Quadratic
What is x in this image?
Answer:
x = 62.5
Step-by-step explanation:
the segment inside the triangle is an angle bisector and divides the side opposite the bisected angle into segments that are proportional to the other two sides, that is
[tex]\frac{x}{25}[/tex] = [tex]\frac{25}{10}[/tex] ( cross- multiply )
10x = 25 × 25 = 625 ( divide both sides by 10 )
x = 62.5
i am confused on finding the answer i have tried a few times and i do not understand
Answer:
11.9 cubic inches
Step-by-step explanation:
The explanation is attached below.
Answer:
11.9 in³
Step-by-step explanation:
As the can of ground coffee has been modelled as a cylinder, we can use the volume of a cylinder formula to calculate its volume.
[tex]\boxed{\begin{minipage}{4 cm}\underline{Volume of a cylinder}\\\\$V=\pi r^2 h$\\\\where:\\ \phantom{ww}$\bullet$ $r$ is the radius. \\ \phantom{ww}$\bullet$ $h$ is the height.\\\end{minipage}}[/tex]
We are told that:
[tex]\bullet \quad \textsf{Height, $h$}=6\frac{3}{4}\; \sf inches[/tex]
[tex]\bullet \quad \textsf{Radius, $r$}=\dfrac{3}{4}\; \sf inches[/tex]
First, convert the mixed fraction of the height into an improper fraction:
[tex]\textsf{Height, $h$}=6 \dfrac{3}{4}=\dfrac{6 \cdot 4+3}{4}=\dfrac{24+3}{4}=\dfrac{27}{4}[/tex]
Now, substitute the values of h and r into the formula for volume:
[tex]V=\pi \cdot \left(\dfrac{3}{4}\right)^2 \cdot \left( \dfrac{27}{4}\right)[/tex]
[tex]\textsf{Apply the exponent rule:} \quad \left(\dfrac{a}{b}\right)^c=\dfrac{a^c}{b^c}[/tex]
[tex]V=\pi \cdot \left(\dfrac{3^2}{4^2}\right) \cdot \left( \dfrac{27}{4}\right)[/tex]
[tex]V=\pi \cdot \left(\dfrac{9}{16}\right) \cdot \left( \dfrac{27}{4}\right)[/tex]
Multiply the fractions by multiplying the numerators and the denominators:
[tex]V=\pi \cdot \left(\dfrac{9 \cdot 27}{16 \cdot 4}\right)[/tex]
[tex]V=\pi \cdot \left(\dfrac{243}{64}\right)[/tex]
Now we have calculated the volume in terms of π.
Use a calculator to multiply the improper fraction by π:
[tex]V=\pi \cdot \left(\dfrac{243}{64}\right)=11.9282346...[/tex]
Rounding this to the nearest tenth gives:
[tex]\boxed{V = 11.9\; \sf in^3}[/tex]
Therefore, the volume of the coffee can is 11.9 in³ to the nearest tenth.
Note: If you use π = 3.14 or π = 22/7, the final answer is still 11.9 in³.
Time Remaining
00:07:19
Finish Assessment
17.Given the linear equation
a
x
+
b
y
=
c
ax+by=c, where
a
a,
b
b, and
c
c are greater than zero, if
x
x decreases by 8 units what is the corresponding change in
y
y?
If x decreases by 8 units, then the variable y is increased by 8a/b units.
How to define a linear function?The slope-intercept equation for a linear function is presented as follows:
y = mx + b
The parameters of the definition of the linear function are given as follows:
m represents the slope of the function, which is by how much the dependent variable y increases(positive) or decreases(negative) when the independent variable x is added by one.b represents the y-intercept of the function, representing the numeric value of the function when the input variable x has a value of 0. On the case of the graph, the intercept is given by the value of y at which the graph crosses or touches the y-axis.The function for this problem is given as follows:
ax + by = c.
In slope intercept form, we have that:
by = -ax + c
y = -ax/b + c/b.
Hence the slope is:
m = -a/b.
The slope is negative, hence if x decreases by 8 units, then the variable y is increased by 8a/b units.
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Given the zero: 5, -3/4, 2i, [tex]\sqrt{5}[/tex]
Find the factor for these.
The polynomial with the given zeros is [tex]x^3 - (25/4)x^2 + (19/4)ix + (30/4)i.[/tex]
To find the factors corresponding to the given zeros, we can use the fact that if a number is a zero of a polynomial, then (x - zero) is a factor of the polynomial.
Given zeros: 5, -3/4, 2i
For the zero 5, the corresponding factor is (x - 5).
For the zero -3/4, the corresponding factor is (x + 3/4).
For the zero 2i, the corresponding factor is (x - 2i).
To find the complete polynomial, we can multiply these factors together:
[tex](x - 5)(x + 3/4)(x - 2i)[/tex]
To simplify the polynomial, we can multiply the factors using the distributive property:
[tex](x^2 - 5x + (3/4)x - 15/4)(x - 2i)[/tex]
Combining like terms:
[tex](x^2 - (17/4)x - 15/4)(x - 2i)[/tex]
Expanding further:
[tex]x^3 - (17/4)x^2 - (15/4)x - 2ix^2 + (34/4)ix + (30/4)i[/tex]
Simplifying and combining like terms, we have the final polynomial:
[tex]x^3 - (25/4)x^2 + (19/4)ix + (30/4)i[/tex]
Therefore , the polynomial with the given zeros is [tex]x^3 - (25/4)x^2 + (19/4)ix + (30/4)i.[/tex]
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the sector of a circle of radius 5cm subtends an angle of 3π/10 rad at the centre. (all answers to 2 dp)
a) calculate the length of the arc.
b) calculate the area of the sector.
c) calculate the area of the segment in the sector with the angle of 3π/10 rad and a radius of 5cm.
Step-by-step explanation:
3pi / 10 * 180 / pi = 54 degrees.
The circumference of the circle would be 10 pi. Multiply this by 54/360 to get 1.5pi or 3 pi /2
Area of the circle would be 25 pi. Multiply this by 54/360 to get 3.75 pi or 15pi /4
I'm confused on part (c), is it not just the same question as part (b)?
All these answers are assuming that 3pi/10 is the central angle. If it is an inscribed angle, then the central angle would be 6pi/10 or 3pi/5.
Edit: if part (c) is talking about inscribed angle, then the degrees would be 108. Then you just multiply 25pi by 108/360 for your answer
Answer:
Step-by-step explanation:
a.
l=rθ (θ in radians)
l=5×3π/10=3π/2≈3/2×3.14≈3×1.57≈4.71 cm
area of sector=π×5²×3π/10×1/2π=15/4 π=15π/4 cm²
≈15/4 ×3.14
≈15×1.57/4
≈5.8875
≈5.89 cm²
Multiple choice
1. given the figure below what is the correct name for ←2. choose all that apply
If I give my brother $5$ dollars, then we will have the same amount of money. If instead he gives me $17$ dollars, then I'll have twice as much money as he will have. How much money does my brother currently have (in dollars)?
The brother currently has $34. Let's assume the amount of money you currently have is represented by the variable "x" (in dollars).
According to the given information, two scenarios are presented:
Scenario 1: If you give your brother $5, then you both will have the same amount of money. This can be expressed as:
x - 5 = x + 5
Simplifying the equation:
-5 = 5
The equation is contradictory, which means this scenario is not possible.
Scenario 2: If your brother gives you $17, then you will have twice as much money as he will have. This can be expressed as:
x + 17 = 2(x - 17)
Expanding and simplifying the equation:
x + 17 = 2x - 34
x = 51
Therefore, you currently have $51. To find out how much money your brother currently has, we substitute this value back into the equation:
51 + 17 = 2(x - 17)
68 = 2(x - 17)
34 = x - 17
x = 51.
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Solution:
Let x be the number of dollars my brother has. Since we will have the same amount of money if I give him 5 dollars, I must have x + 10 dollars. (Make sure you see why I don't have x + 5 dollars. If I give him 5 dollars of my x + 10 dollars, then we will both have x + 5 dollars.)
If he gives me 17 dollars, then he will have x - 17 dollars and I will have x + 10 + 17 = x + 27 dollars. I'll then have twice as much money as he has, so
x + 27 = 2(x - 17) Expanding the right-hand side gives x + 27 = 2x - 34, so x = 61. So, my brother has $61, and I have $71
Please help me with this.
Here are the correct matches to the expressions to their solutions.
The GCF of 28 and 60 is 4.
(-3/8)+(-5/8) = -4/4 = -1.
-1/6 DIVIDED BY 1/2 = -1/6 X 2 = -1/3.
The solution of 0.5 x = -1 is x = -2.
The solution of 1/2 m = 0 is m = 0.
-4 + 5/3 = -11/3.
-2 1/3 - 4 2/3 = -10/3.
4 is not a solution of -4 < x.
1. The GCF of 28 and 60 is 4.
The greatest common factor (GCF) of two numbers is the largest number that is a factor of both numbers. To find the GCF of 28 and 60, we can factor each number completely:
28 = 2 x 2 x 7
60 = 2 x 2 x 3 x 5
The factors that are common to both numbers are 2 and 2. The GCF of 28 and 60 is 2 x 2 = 4.
2. (-3/8)+(-5/8) = -1.
To add two fractions, we need to have a common denominator. The common denominator of 8/8 and 5/8 is 8. So, (-3/8)+(-5/8) = (-3 + (-5))/8 = -8/8 = -1.
3. -1/6 DIVIDED BY 1/2 = -1/3.
To divide by a fraction, we can multiply by the reciprocal of the fraction. The reciprocal of 1/2 is 2/1. So, -1/6 DIVIDED BY 1/2 = -1/6 x 2/1 = -2/6 = -1/3.
4. The solution of 0.5 x = -1 is x = -2.
To solve an equation, we can isolate the variable on one side of the equation and then solve for the variable. In this case, we can isolate x by dividing both sides of the equation by 0.5. This gives us x = -1 / 0.5 = -2.
5. The solution of 1 m = 0 is m = 0.
To solve an equation, we can isolate the variable on one side of the equation and then solve for the variable. In this case, we can isolate m by dividing both sides of the equation by 1. This gives us m = 0 / 1 = 0.
6. -4 + 5/3 = -11/3.
To add a fraction and a whole number, we can convert the whole number to a fraction with the same denominator as the fraction. In this case, we can convert -4 to -4/3. So, -4 + 5/3 = -4/3 + 5/3 = -11/3.
7. -2 1/3 - 4 2/3 = -10/3.
To subtract two fractions, we need to have a common denominator. The common denominator of 1/3 and 2/3 is 3. So, -2 1/3 - 4 2/3 = (-2 + (-4))/3 = -6/3 = -10/3.
8. 4 is not a solution of -4 < x.
The inequality -4 < x means that x must be greater than -4. The number 4 is not greater than -4, so it is not a solution of the inequality.
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Your friend was bored one day and started making patterns using Cheerios from a new box he had opened. He laid the Cheerios on the table as such:
Based on the two images above and the information about the box, answer the following questions.
A) Identify and label the variable
B) Make a table for up to 8-figure patterns
C) Write an equation to represent the nth term of the sequence.
D) If the pattern continues, what figure number will have 20 whole Cheerios in it?
E) Is it reasonable to think this pattern would continue forever? If not, explain.
F) Based on the information provided, what is the largest figure number we can have using a full box of Cheerios?
PLS ANSWER ALL OF THE QUESTIONSSS I REALLY NEED THE ANSWERS ASAPPPPPPP PLEASE AND THANK YOU
A) The variable is n, which represents the number of the figure in the pattern.
B) Here is a table for up to 8-figure patterns:
Figure Number of Cheerios
1 1
2 3
3 6
4 10
5 15
6 21
7 28
8 36
C) The equation to represent the nth term of the sequence is n(n+1)/2.
D) If the pattern continues, the figure number that will have 20 whole Cheerios in it is 12.
E) It is not reasonable to think this pattern would continue forever. The number of Cheerios in each figure is increasing by 2 each time. This means that the number of Cheerios in the figure will eventually exceed the number of Cheerios in a box.
F) Based on the information provided, the largest figure number we can have using a full box of Cheerios is 107. This is because there are 108 Cheerios in a box, and the number of Cheerios in each figure is increasing by 2 each time.
Here is a more detailed explanation of how to answer each question:
A) Identify and label the variable
The variable is n, which represents the number of the figure in the pattern. For example, the first figure is figure 1, the second figure is figure 2, and so on.
B) Make a table for up to 8-figure patterns
Here is a table for up to 8-figure patterns:
Figure Number of Cheerios
1 1
2 3
3 6
4 10
5 15
6 21
7 28
8 36
C) Write an equation to represent the nth term of the sequence
The equation to represent the nth term of the sequence is n(n+1)/2. This equation can be derived by looking at the table of values. For example, the number of Cheerios in the first figure is 1, which is equal to 1(1+1)/2. The number of Cheerios in the second figure is 3, which is equal to 2(2+1)/2. And so on.
D) If the pattern continues, what figure number will have 20 whole Cheerios in it?
If the pattern continues, the figure number that will have 20 whole Cheerios in it is 12. This can be found by solving the equation n(n+1)/2 = 20. The solution is n = 12.
E) Is it reasonable to think this pattern would continue forever? If not, explain.
It is not reasonable to think this pattern would continue forever. The number of Cheerios in each figure is increasing by 2 each time. This means that the number of Cheerios in the figure will eventually exceed the number of Cheerios in a box.
F) Based on the information provided, what is the largest figure number we can have using a full box of Cheerios?
Based on the information provided, the largest figure number we can have using a full box of Cheerios is 107. This is because there are 108 Cheerios in a box, and the number of Cheerios in each figure is increasing by 2 each time.
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Use the information in the table below to answer the following question.
Name of Fund
NAV
Offer Price
Upton Group
$18.47
$18.96
Green Energy
$17.29
$18.01
TJH Small-Cap
$18.43
$19.05
WHI Health
$20.96
NL
Trevor buys 80 shares of Upton Group and 70 shares of TJH Small-Cap. What is Trevor’s total investment?
a.
$2,687.90
b.
$2,768.00
c.
$2,850.30
d.
$2,957.60
Trevor’s total investment is $2850.30.(Option-c)
Trevor buys 80 shares of Upton Group and 70 shares of TJH Small-Cap. The offer price for Upton Group is $18.96 and the offer price for TJH Small-Cap is $19.05. Therefore, Trevor's total investment is:
80 shares * $18.96 + 70 shares * $19.05 = $1516.80 + $1333.50 = $2850.30
The offer price is the price at which a mutual fund is sold to investors. It is calculated by adding the net asset value (NAV) of the fund to the sales charge. The NAV is the value of the fund's assets minus its liabilities. The sales charge is a fee that is paid to the fund's distributor.
Trevor's total investment of $2,850.30 is the sum of the offer prices of the two funds he purchased. The offer price of Upton Group is $18.96 per share, and the offer price of TJH Small-Cap is $19.05 per share. Trevor purchased 80 shares of Upton Group and 70 shares of TJH Small-Cap, so his total investment is 80 shares * $18.96 + 70 shares * $19.05 = $1516.80 + $1333.50 = $2850.30.(Option-c)
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24. What is the cost for 5 t-shirts that cost $10 with a sales tax of 6%?
$3
$56
$50
$53
The cost for 5 t-shirts, including Sales tax, is $53.
The cost of 5 t-shirts with a price of $10 each and a sales tax of 6%, we need to multiply the total price of the t-shirts by the sales tax rate and add it to the original price.
The original price of one t-shirt is $10. Therefore, the total price of 5 t-shirts is:
$10 * 5 = $50
To calculate the sales tax, we need to multiply the total price by the sales tax rate of 6%:
$50 * 6% = $50 * 0.06 = $3
Adding the sales tax to the total price:
$50 + $3 = $53
Therefore, the cost for 5 t-shirts, including sales tax, is $53.
The correct answer is: $53.
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1. The first quartile (1) of the ages of the 256 employees of CCNHS – Main Campus is 39 years old. What does it imply?
If the first quartile is 39 years old, it means that approximately one-fourth of the employees at CCNHS – Main Campus are 39 years old or younger.
The first quartile (Q1) of the ages of the 256 employees of CCNHS – Main Campus being 39 years old implies that 25% of the employees have an age equal to or less than 39 years old.
In statistical terms, the first quartile represents the point below which 25% of the data falls. It divides the data set into four equal parts, with each part containing 25% of the data. Therefore, if the first quartile is 39 years old, it means that approximately one-fourth of the employees at CCNHS – Main Campus are 39 years old or younger.
This information provides insight into the age distribution of the employees at the institution. It indicates that a significant portion of the employees are relatively young, with a quarter of them falling below the age of 39. Understanding the age demographics of the workforce can be useful for various purposes, such as planning professional development programs or implementing age-specific policies.
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If abf is 300 what is ad
Completa para que los resultados sean múltiplos de 4
1,0000 +
250 +
+ 781
Given statement solution is :- 9086 is a multiple of 4 because it can be divided by 4 without leaving a remainder.
Sum is a way of putting all things together. The sum brings two or more numbers together to make a new total.
A multiple of a number is the product obtained when the number is multiplied by another number (integer; not a fraction).
To complete the expression so that the results are multiples of 4, we can add multiples of 4 into each of the blank spaces. Here's an option:
1.0000 + 250 + 7836
By adding these numbers, we will get a result that is a multiple of 4:
1.0000 + 250 + 7836 = 9086
9086 is a multiple of 4 because it can be divided by 4 without leaving a remainder.
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A candy bar that originally sold for $.60 undergoes a 3% price increase each year.
Both calculations from part (1) and part (2) yield the same result of $0.86 for the new cost of the candy bar after 11 years.
Part 1 of 2:
The new cost of the candy bar after 11 years can be calculated by applying a 3% price increase each year to the original cost of $0.60.
To calculate the new cost after 11 years, we can use the formula:
New Cost = Original Cost * (1 + Percentage Increase)^Number of Years
Plugging in the values:
New Cost = $0.60 * (1 + 3%)^11
≈ $0.60 * (1 + 0.03)^11
≈ $0.60 * (1.03)^11
≈ $0.60 * 1.432364654
Rounding to the nearest cent, the new cost of the candy bar after 11 years is $0.86.
Part 2 of 2:
If the cost of the candy bar increased by 3% of the original cost each year for 11 years, we can calculate the final cost by multiplying the original cost by (1 + 3%) for each year.
Using the formula:
Final Cost = Original Cost * (1 + Percentage Increase)^Number of Years
Plugging in the values:
Final Cost = $0.60 * (1 + 3%)^11
≈ $0.60 * (1 + 0.03)^11
≈ $0.60 * (1.03)^11
≈ $0.60 * 1.432364654
Rounding to the nearest cent, the final cost would also be $0.86.
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Note: The complete question is - What will be the cost of the candy bar after a specific number of years if it originally sold for $.60 and undergoes a 3% price increase each year?
What is the minimum value of the function f(x)=(2x+6)(x-7)
One way to answer this is to expand the function:
f(x) = (2x+6)(x-7)
= 2x^2 - 14x + 6x - 42
= 2x^2 - 8x - 42
And then use the formula [tex]x=\dfrac{-b}{2a}[/tex] to find the x-value of the vertex and then use that to find the y-value of the vertex, while is the minimum value.
x = -(-8) / 2(2)
= 8/4
= 2
f(2) = 2(2)^2 - 8(2) - 42
= 2(4) - 16 - 42
= 8 - 16 - 42
= - 50
So the minimum value is -50, since (2,-50) is the lowest point on the parabola.
Determine the coordinates for the center, vertices, endpoints of the minor axis, and foci of the ellipse x²/25+y²/9=1.
Step-by-step explanation:
Center would be (0, 0) because the equation is (x+0)^2 and (y+0)^2
Of course this isn't the full equation but just the numerator.
Major axis would be 5, and minor axis would be 3.
The endpoints of minor axis would be (0,3) and (0,-3). The endpoints of the major axis would be (5, 0) and (-5, 0)
The length of the foci of the ellipse would be sqrt(25 - 9) =sqrt( 16) = 4. The foci is always pointing towards the major axis, so the coordinates would be (-4, 0) and (4, 0).
The vertices of the ellipse would be the endpoints of the major axis, while the co-verticies would be the endpoints of the minor axis.
Need all of these answered please!
The missing lengths of geometric systems are listed below:
Case 1: a = 2√13
Case 2: a = √455
Case 3: a = √185
Case 4: a = 3
Case 5: a = 48
Case 6: a = 105
How to determine the missing lengths of geometric systems
In this problem we must compute the missing lengths of geometric systems both by single right triangles and pairs of right triangles. Lengths in right triangles are related by Pythagorean theorem:
r² = x² + y²
Where:
x, y - Legsr - Hypotenuse.Please notice that hypotenuse is the longest side of right triangle.
Now we proceed to determine the missing length in each geometric system:
Case 1:
a = √(14² - 12²)
a = 2√13
Case 2:
a = √(24² - 11²)
a = √455
Case 3:
a = √(13² + 4²)
a = √185
Case 4:
a = √(5² - 4²)
a = 3
Case 5:
a = √(52² - 20²)
a = 48
Case 6:
a = √(119² - 56²)
a = 105
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What are parallelograms?
Answer:
a four-sided plane rectilinear figure with opposite sides parallel.
Step-by-step explanation:
Answer:
Parallelograms are a type of quadrilateral, which is a polygon with four sides. A parallelogram is a specific type of quadrilateral that has two pairs of parallel sides. This means that the opposite sides of a parallelogram are parallel and equal in length.
In addition to having parallel sides, parallelograms also have some other notable properties:
Opposite angles are congruent: The opposite angles of a parallelogram are equal in measure. This means that if you label the angles A, B, C, and D, then angle A is congruent to angle C, and angle B is congruent to angle D.
Step-by-step explanation:
In Aarons grade 7 class, 1 in every 3 students has a brother. However, for the school overall, 5 out of every 12 grade 7 students (including Aaron and his class) have a brother.
This equation is not valid, as it leads to an inconsistency.
In Aaron's grade 7 class, the ratio of students with a brother is 1 in every 3 students. This means that for every 3 students in the class, there is 1 student who has a brother.
On the other hand, for the school overall, including Aaron's class, the ratio of grade 7 students with a brother is 5 out of every 12 students. This means that for every 12 grade 7 students, there are 5 students who have a brother.
Let's assume there are a total of N grade 7 students in the school.
In Aaron's class, the ratio of students with a brother is 1 in every 3 students. So, the number of students in Aaron's class with a brother can be calculated as N/3.
For the school overall, the ratio of grade 7 students with a brother is 5 out of every 12 students. So, the number of grade 7 students in the school with a brother can be calculated as (5/12) * N.
Since Aaron's class is part of the school overall, we can equate these two values:
N/3 = (5/12) * N
To solve for N, we can cross multiply:
12 * N = 3 * (5/12) * N
12 * N = 15 * N/12
144 * N = 15 * N
144 = 15
This equation is not valid, as it leads to an inconsistency.
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Answer each of the following questions. Write a sentence stating the
answer where necessary.
One primary drama class and one high school drama class have
earned a field trip to the local theatre to watch a performance today.
1. Mr. Murray's primary drama class is going to the theatre for the
show. They are travelling in three buses. Each bus holds ten
students. How many students are going to the show? Show your
(2mks)
working.
2. The mass of 1 of the buses is 1900
What is the mass
of the bus measured in? kilograms or grams. Explain your answer.
(1mk)
3. There are five rows in the theatre. Mr. Murray wants an equal
number of students to sit in each row. How many students should
sit in each row? Show your working.
(2mks)
4. Mrs. Stewart's high school class is also going to the show. She
has two times as many students as Mr. Murray. How many high
school students are in the theatre for the show? Show your
working.
(2mks)
5. Mrs. Stewart wants her students to sit with an equal number of
students in each of the five rows. How many high school students
should sit in each row? Show your working.
(2mks)
6. The theatre manager needs to make a seating chart to make sure
all the students will have a seat for the performance. Show the total
number of students seated in the theatre and how they will be
seated by drawing a diagram of the theatre. Label the students as
either "M" for Mr. Murray or "S" for Mrs. Stewart.
(3mks)
1. Using multiplication, the number of students from Mr. Murray's primary drama class going to the theatre for the show is 30.
2. The mass of the bus is measured in kilograms because 1,900 cannot represent the mass of a bus that can carry 10 students and the standard unit of mass in the International System (SI) is the kilogram (kg).
3. The number of Mr. Murray's students who should sit in each row, using division operation, is 6.
4. Using multiplication, the number of high school students in the theater for the show is 60, since they are two times as many high students as in Mr. Murray's class.
5. Using division, the number of high school students in each row is 12.
6. The total number of students seated in the theater is 90 with 6 primary school student and 12 high school student sitting (18 students) in each of the 5 rows of the theater.
What are the mathematical operations?The basic mathematical operations are addition, subtraction, multiplication, and division.
1. Mr. Murray's primary drama class:
The number of buses the class is traveling in = 3
The capacity for each bus = 10 stuents
The total number of students going to the show = 30 (3 x 10)
2. Mass of the Buses:
The mass of one bus = 1,900 kg
The masses of the three buses = 5,700 (1,900 x 3)
3. Theater Rows:
The number of rows in the theater = 5
The average number of students that can sit in each row = 6 (30 ÷ 5)
4. Mrs. Stewart's High School Class:
The number of high school students from Mrs. Stewart's class = 60 (30 x 2)
5. The total number of high school students = 60
The number of rows in the theater = 5
The number of high school students in each row = 12 (60 ÷ 5)
6. The Theater Manager:
The total number of primary school students = 30
The total number of high school students = 60
The total number of students attending the show = 90 (30 + 60)
The number of students in each row = 18 (90 ÷ 5) or (12 + 6)
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What is 6721 x 381 divided by 14 + 84
Answer: 26129.6
Step-by-step explanation:
6721 x 381 = 2560701
14 + 84 = 98
2560701 / 98 = 26129.6
In a division the dividend. Quotient and remainder are 1830, 87 and 3 respectively find the divisor?
The divisor in the division problem is 21, given the values of dividend, quotient, and remainder as 1830, 87, and 3 respectively.
To find the divisor in a division problem with the given values of dividend, quotient, and remainder, we can use the formula:
Dividend = Divisor * Quotient + Remainder
Substituting the given values:
1830 = Divisor * 87 + 3
Rearranging the equation:
Divisor * 87 = 1830 - 3
Divisor * 87 = 1827
Divisor = 1827 / 87
Divisor = 21
Therefore, the divisor in the division problem is 21, given the values of dividend, quotient, and remainder as 1830, 87, and 3 respectively.
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What is 8 / 2(2 +2)?
Answer:
Step-by-step explanation:
do the parenthesis first (2+2)=4
then 8/2= 4
4(4)=16
An 10 (Interest Only) loan means that.
you never pay the interest on the loan
the payment is less than the interest
you only pay the interest
the loan is getting bigger
What’s an A0?
"A0" typically refers to a paper size under the ISO 216 standard, commonly known as the International Organization for Standardization (ISO) paper size system.
An "Interest Only" loan means that you only pay the interest on the loan for a specific period, typically a fixed number of years. During this period, your payments are applied only to cover the interest charges, and the principal amount of the loan remains unchanged.
An "Interest Only" loan means that you only pay the interest on the loan for a specific period, typically a fixed number of years. During this period, your payments are applied only to cover the interest charges, and the principal amount of the loan remains unchanged. As a result, the loan balance does not decrease, and you do not make progress in paying off the principal.
Once the interest-only period ends, you may have to start making payments that include both the principal and the interest, or you may need to refinance the loan. It's important to note that during the interest-only period, you are not making any progress in reducing the overall loan amount.
Regarding your second question, "A0" typically refers to a paper size under the ISO 216 standard, commonly known as the International Organization for Standardization (ISO) paper size system. However, the A0 paper size specifically refers to the largest commonly used paper size, measuring approximately 841 mm by 1189 mm (33.1 inches by 46.8 inches). It is often used for large posters, architectural plans, and other similar applications.
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Medida de cada angulo externo del poligono eneágono
The measure of each exterior angle of a regular eneagonal is given as follows:
40º.
How to obtain the sum of the exterior angles?An exterior angle of a polygon is defined as the angle between a side and its adjacent extended side.
The exterior angle theorem states that the sum of the measures of the exterior angles of any polygon is of 360º.
For a regular polygon, the angle measures are equal. A regular eneagonal has nine exterior angles, hence the measure of each angle is given as follows:
360/9 = 40º
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