Answers
The graph of the function x^2/9 - y^2/49 = 1 is graph (d)
How to determine the graph of the functionFrom the question, we have the following parameters that can be used in our computation:
x^2/9 - y^2/49 = 1
The above equation is an hyperbola
An hyperbola that has its center at the origin is represented as
x^2/a^2 - y^2/b^2 = 1
Using the above as a guide, we have the following:
a^2 = 9
b^2 = 49
Evaluate
a = ±3
b = ±7
This means that the semi-major axis is a = 3 and the semi-minor axis is b = 7.
The graph with the above feature is graph (d)
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Related Questions
A snowboard has a price of $800. With sales tax, it will cost $848. What is the sales tax percentage?
Answers
As a result, there is a 6% sales tax.
What do the percentages mean?Percentages is a relative figure used to represent hundredths of a quantity. Because one percent (symbolised as 1%) represents one hundredth of something, 100 percent stands for everything, and 200 percent refers to twice the amount specified. percentage. Percentile is a related topic in mathematics.
The difference in sales tax is the price of the snowboarder with tax versus the price of the snowboarder without tax.
Sales tax therefore equals $848 - $800 = $48.
We need to multiply the result by 100 to get the sales percentage of tax, which we can then divide by the price of the snowboard before taxes.
Sales tax percentage = (Sales tax / Cost without tax) x 100
= ($48 / $800) x 100
= 0.06 x 100
= 6%
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What are the first four terms of the sequence generated by g_(1)=(1)/(2) g_(n)=6g_(n-1), for all integers n>=2 ?
Answers
The first four terms of the sequence generated by g_(1)=(1)/(2) g_(n)=6g_(n-1), for all integers n>=2 are (1/2), 3, 18, and 108.
The first four terms of the sequence generated by g_(1)=(1)/(2) g_(n)=6g_(n-1), for all integers n>=2 are (1/2), 3, 18, and 108.
To find the first four terms of the sequence, we can use the given formula and plug in the values for n.
For the first term, n=1, so we use the formula g_(1)=(1)/(2) to get the first term, which is (1/2).
For the second term, n=2, so we use the formula g_(n)=6g_(n-1) and plug in the value for n and the value of the first term for g_(n-1):
g_(2)=6g_(2-1)=6g_(1)=6(1/2)=3
For the third term, n=3, so we use the same formula and plug in the value for n and the value of the second term for g_(n-1):
g_(3)=6g_(3-1)=6g_(2)=6(3)=18
For the fourth term, n=4, so we use the same formula and plug in the value for n and the value of the third term for g_(n-1):
g_(4)=6g_(4-1)=6g_(3)=6(18)=108
Therefore, the first four terms of the sequence are (1/2), 3, 18, and 108.
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if anyone can help me with this and its the right answer i will give brainy please i really need this
Question 11
Which values in the data set are outliers? Show all work.
72, 81, 82, 83, 83, 85, 100, 54, 75, 81, 83
List the following (and show work if needed): Q1, Median, Q3, Lower Fence, Upper Fence, and Outliers
Answers
The dataset's median, which has a value of 82 and a total of 11 values, is the sixth figure.
what is median ?When a dataset is ordered from smallest to largest, the median, a measure of central tendency, shows the middle value of the dataset. It is frequently used as a more reliable substitute for the mean, which can be vulnerable to anomalies in the data with extremely high or low values. We must first sort the numbers in a dataset from smallest to largest before we can determine the median. The median is just the middle value when the dataset has an odd number of numbers. For instance, the median, or middle number, in the dataset "2, 5, 7, 10, 12" is 7.
given
Values that are noticeably higher or lower than the remainder of the dataset are found using the fences.
Step 1: Sort the information by size, starting from the smallest:
[tex]54, 72, 75, 81, 81, 82, 83, 83, 83, 85, 100[/tex]
Step 2: Calculate the middle
The dataset's median represents its middle number. The median is the sixth number in the dataset, which contains 11 values total:
Average: 82
Step 3: Determine the first and third quartiles (Q1 and Q3, respectively):
The medians for the dataset's lower and upper halves are Q1 for the lower part and Q3 for the upper. We don't use the median value to determine Q1 and Q3 because the dataset has an odd amount of values.
54, 72, 75, 81, 81 in the bottom half.
Top half: 83, 83, 83, 83, 85, and 100
Q1 = 75 for the bottom half's median.
Q3 = 83 for the top half's median.
The dataset's median, which has a value of 82 and a total of 11 values, is the sixth figure.
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Please help I'll mark brainliest !
Answers
Answer:
x = -3 to x = 2
Step-by-step explanation:
The function is decreasing where the slope is negative, seen when the y-values decrease as the x-values increase. Your answer is correct.
Answer:
X is - 3 to x is 2
Step-by-step explanation:
Look at the x axis, the point where the curve slopes down is the decreasing point
Where x is - 3 is a peak point, it begins to slope from there and rises when x is 3
Kareem has 216 role playing game cards.His goal is to collect all 15 sets of cards.There are 72 cards in a set.How many more cards does Kareem need to reach his goal?
Answers
Answer:
864 cards
Step-by-step explanation:
Goal: 15 set of cards
*72 cards in a set*
15 x 72 = 1080
15 sets of cards = 1080 cards in total
However Kareem so far has 216 cards.
To find out how much more cards Kareem need to reach his goal, you do the following:
1080 - 216 = 864
Kareem needs 864 more cards to reach his goal.
hope this helped....
HELPPPPPP DUE TONIGHTTT
The scatter plot shows the number of hours worked, x, and the amount of money spent on entertainment, y, by each of 23 students.
(a) Write an approximate equation of the line of best fit for the data. It doesn't have to be the exact line of best fit.
(b) Using your equation from part (a), predict the money spent on entertainment for a student who works 10 hours.
Note that you can use the graphing tools to help you approximate the line.
Answers
Answer:
Step-by-step explanation:
A is y=x+4
b is y=14
Which of these rules are functions on an appropriate domain? Select all that apply.
$\vspace{.05in}$
$A$ inputs a real number, subtracts $100$, then outputs the square root of the result if it is real.
${}B$ inputs a date, then outputs the name of a person born on that date.
$C$ inputs a real number $x$, then outputs a real number $y$ that is less than $\frac{1}{1000}$ larger than $x$. $\smallskip$
$D$ inputs a real number $x$, then outputs the result of the calculation $\dfrac{x^2-1}{(x-1)(x+1)}$.
$E$ inputs a real number $x$, then a coin is flipped. If the coin flips heads, the output is $x+2$. If the coin flips tails, the output is $x+3$.
$F$ inputs a person, then outputs their birth date.
Answers
D and F are functions on an appropriate domain. A, C, and D are functions that take in a real number and output a real number, so they are valid functions on the domain of real numbers.
What is domain?A domain is a set of names or IP addresses that are associated with a particular website or web server. It is what allows users to access a website's content using a web browser. Domains are typically purchased from a domain registrar and can be used to host websites, email accounts, and other services.
B and F are invalid functions because they take in a real number and output something that is not a real number.
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A high school track team's long jump record is 22 ft 6 3/4 in. This year, Arthur's best long jump is 22 ft 5 1/2 in. If long jumps are measured to the nearest quarter inch, how much farther must Arthur jump to break the record?
Answers
Answer:
To compare Arthur's long jump to the record, we need to convert both measurements to the same unit. Let's convert both measurements to inches:
Record: 22 ft 6 3/4 in = (22 x 12) + 6 + 3/4 = 270 + 6 + 0.75 = 276.75 in
Arthur's jump: 22 ft 5 1/2 in = (22 x 12) + 5 + 1/2 = 270 + 5 + 0.5 = 275.5 in
To determine how much farther Arthur needs to jump to break the record, we subtract Arthur's jump distance from the record distance:
Record distance - Arthur's jump distance = 276.75 in - 275.5 in = 1.25 in
However, we are told that long jumps are measured to the nearest quarter inch. Therefore, we need to round the difference to the nearest quarter inch. Since 1.25 inches is closer to 1.25 than it is to 1.5, we round down to the nearest quarter inch. This gives us:
1.25 in ≈ 1.25/4 = 0.3125 quarters ≈ 0.25 quarters
Therefore, Arthur needs to jump an additional 0.25 quarters (or 1/16 of an inch) to break the record.
Which measure is equivalent to 8 kilometers?
1 km≈0.6 mi
1 mi = 5,280 ft
Responses
0.025 ft
4.8 ft
25,344 ft
704,000 ft
Answers
25344 ft
We can use the conversion factors to convert 8 kilometers to another measure.
From the given conversion factors, we know that:
1 km ≈ 0.6 mi
1 mi = 5,280 ft
So, to convert 8 kilometers to feet, we can first convert it to miles and then convert miles to feet:
8 km x 0.6 mi/km = 4.8 miles
4.8 miles x 5,280 ft/mile = 25,344 ft
Therefore, 8 kilometers is equivalent to 25,344 feet.
The answer is option (C) 25,344 ft
Natasha wants to average at least 90% in math class. Her test scores so far are 94%, 89%,88%,92%, and 85% What score does she need to earn on her next test to reach her goal
Answers
Answer:
Let x be the score Natasha needs to earn on her next test to reach an average of 90%.
To find x, we can use the formula for the average:
average = (sum of scores) / (number of scores)
We know that Natasha has taken 5 tests so far, with scores of 94%, 89%, 88%, 92%, and 85%. We can plug these values into the formula and solve for x:
90% = (94% + 89% + 88% + 92% + 85% + x) / 6
Multiplying both sides by 6, we get:
540% = 448% + x
Subtracting 448% from both sides, we get:
92% = x
Therefore, Natasha needs to earn a score of at least 92% on her next test to reach an average of 90%.
A painting is purchased as an investment for $100. If its value increases continuously so that it doubles every 2 years, then its value is given by the function V(t) = 100 • 2^t/2 for t >= 0 where t is the number of years since the painting was purchased, and V(t) is its value (in dollars) at time t. Find v(4) and V(6). V(4) = $ _____
V(6) = $ _____
Answers
The value of the painting at t = 4 is $400 (V(4) = $400) and the value of the painting at t = 6 is $800 (V(6) = $800).
To find the value of the painting at t = 4 and t = 6, we can simply plug in these values into the function V(t) = 100 • 2^t/2, for t >= 0 where t is the number of years since the painting was purchased, and V(t) is its value (in dollars) at time t, and simplify.
For t = 4, we have:
V(4) = 100 • 2^4/2
V(4) = 100 • 2^2
V(4) = 100 • 4
V(4) = 400
For t = 6, we have:
V(6) = 100 • 2^6/2
V(6) = 100 • 2^3
V(6) = 100 • 8
V(6) = 800
Therefore, V(4) = $400 and V(6) = $800.
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Peggy had four times as many quarters as nickels. She had $2.10 in all. How many nickels and how many quarters did she have?
Which of the following equations could be used to solve the problem?
A.n + 4 n = 210
B.5 n + 100 n = 210
C.n + 4 n = 2.10
D.5 n + 100 n = 2.10
Answers
The algebraic equation that could be used to solve the problem is C. n + 4n = 2.10.
What is the algebraic equations?An algebraic equation is a mathematical statement that represents the equality of two expressions, using one or more variables, and mathematical operations such as addition, subtraction, multiplication, and division.
To solve this problem, we can use algebraic equations. Let's use the variable "n" to represent the number of nickels that Peggy has.
From the problem statement, we know that Peggy has four times as many quarters as nickels, which means she has 4n quarters.
We also know that she has a total of $2.10 in all. The value of her nickels is 0.05n dollars each, and the value of her quarters is 0.25(4n) = n dollars each. So we can set up the following equation:
0.05n + 0.25(4n) = 2.10
Simplifying this equation, we get:
0.05n + n = 0.525
1.05n = 2.10
n = 2
Therefore, Peggy has 2 nickels and 4(2) = 8 quarters.
Hence, the equation that could be used to solve the problem is C. n + 4n = 2.10.
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omework: 2.1 tion list Solve the following equation and check. (x)/(7)+(x)/(9)=(9)/(14)
Answers
We have that, given the equation (x)/(7)+(x)/(9)=(9)/(14) we will get as an answer x = 567/224
To solve the equation (x)/(7)+(x)/(9)=(9)/(14), we need to find the common denominator of the fractions on the left-hand side of the equation. The common denominator of 7 and 9 is 63, so we can multiply each fraction by the appropriate factor to get the common denominator:
[tex](x)/(7) * (9)/(9) + (x)/(9) * (7)/(7) = (9)/(14)[/tex]
[tex](9x)/(63) + (7x)/(63) = (9)/(14)[/tex]
Now we can combine the numerators on the left-hand side of the equation:
[tex](16x)/(63) = (9)/(14)[/tex]
To isolate the variable x, we can cross-multiply and then divide by the coefficient of x:
[tex](16x)(14) = (9)(63)[/tex]
[tex]224x = 567[/tex]
[tex]x = 567/224[/tex]
To check our answer, we can plug it back into the original equation and simplify:
[tex](567/224)/(7) + (567/224)/(9) = (9)/(14)[/tex]
[tex](567/224) * (1/7) + (567/224) * (1/9) = (9)/(14)(567/1568) + (567/2016) = (9)/(14)(1275752 + 1140480)/(3167232) = (9)/(14)(2416232)/(3167232) = (9)/(14)(9)/(14) = (9)/(14)[/tex]
Since both sides of the equation are equal, our answer is correct.
Answer: [tex]x = 567/224[/tex]
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Help please ill give everything and good amount of points , please see the image( solve for the missing angle. Round to the nearest degree
Answers
Answer:
Step-by-step explanation:
where is the image don't see
given an "Armfield pump rig" to find the characteristics and efficiency of a pump experimentally. In this context, the pump is an energy converter that converts electrical power into hydraulic power.
the sample points are logged with a constant setting of rotational speed (angular velocity). power data is registered along the way - electric power into the electric motor, pressure from the pump and volume flow during throttling of the water flow out of the pump.
given data from EXCELbelow:
use EXCEL to solve the questions below, and explain step by step procedure
a) Calculate effects and efficiencies for all operating points.
b) Create a graph showing the delivery pressure (Pa) ("Pump 1") as a function of volume flow (Flow Rate Q) in (m3 / s)
c) Create a graph showing motor power (Pump 1) (W) as a function of volume flow (Flow Rate) Q (l / s) on an axis and efficiency (Pump 1 (%) on a secondary axis
Answers
To calculate the effect of the pump, use the formula: P = Q * ΔP / η and To calculate the efficiency of the pump, use the formula: η = P / P_e. Use the data provided in the EXCEL file.
To solve the questions, follow these steps:
a) Calculate effects and efficiencies for all operating points:
1. To calculate the effect of the pump, use the formula: P = Q * ΔP / η, where P is the power of the pump, Q is the volume flow rate, ΔP is the pressure difference across the pump, and η is the efficiency of the pump.
2. To calculate the efficiency of the pump, use the formula: η = P / P_e, where P is the power of the pump, and P_e is the electrical power input to the pump.
3. Use the data provided in the EXCEL file to calculate the effects and efficiencies for all operating points.
b) Create a graph showing the delivery pressure (Pa) ("Pump 1") as a function of volume flow (Flow Rate Q) in (m3 / s):
1. Select the data for the delivery pressure (Pa) and volume flow (Flow Rate Q) in the EXCEL file.
2. Click on the "Insert" tab in EXCEL and select the "Scatter" chart option.
3. Choose the "Scatter with Straight Lines" option to create a graph showing the delivery pressure (Pa) as a function of volume flow (Flow Rate Q).
c) Create a graph showing motor power (Pump 1) (W) as a function of volume flow (Flow Rate) Q (l / s) on an axis and efficiency (Pump 1 (%) on a secondary axis:
1. Select the data for the motor power (Pump 1) (W) and volume flow (Flow Rate) Q (l / s) in the EXCEL file.
2. Click on the "Insert" tab in EXCEL and select the "Scatter" chart option.
3. Choose the "Scatter with Straight Lines" option to create a graph showing the motor power (Pump 1) (W) as a function of volume flow (Flow Rate) Q (l / s).
4. Add a secondary axis to the graph by clicking on the "Format" tab in EXCEL and selecting the "Secondary Axis" option.
5. Select the data for the efficiency (Pump 1 (%) and add it to the secondary axis of the graph.
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Problem \# 6: Let R^4 have the Euclidean inner product. Find a unit vector with a positive first component that is orthogonal to all three of the following vectors. u = (1,-1, 7, 0) ; v=(8,1,0,1) ; w=(1,0,6,1)
Problem \#6: Enter your answer symbolically, as in these Enter the four components of your vector, separated with commas.
Answers
To find a unit vector with a positive first component that is orthogonal to all three of the given vectors, we need to find a vector x = (x1, x2, x3, x4) that satisfies the following equations:
= 0
= 0
= 0
This means that:
x1 - x2 + 7x3 = 0
8x1 + x2 + x4 = 0
x1 + 6x3 + x4 = 0
We can solve this system of equations to find x. One possible solution is x = (1, -1, 0, 1). However, this is not a unit vector, so we need to divide each component by the length of the vector to get a unit vector:
x = (1, -1, 0, 1) / ||(1, -1, 0, 1)|| = (1/sqrt(3), -1/sqrt(3), 0, 1/sqrt(3))
So, the unit vector with a positive first component that is orthogonal to all three of the given vectors is (1/sqrt(3), -1/sqrt(3), 0, 1/sqrt(3)).
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Robert is making pink paint by mixing red and white paint in the ratio 1:3. Red paint costs £5 for 500ml. White paint costs £8 for 3 liters. Work out how much it will cost Robert to buy enough paint to make 12 liters of pink paint
Answers
Based on the ratio of red to white paint in making pink paint of 1:3, the total cost to Robert to buy enough paint to make 12 liters is $54.
What is the ratio?The Ratio refers to the relative size of one quantity compared to another.
Ratios are expressed in standard ratio form using (:) with one value in relation to another.
Ratios can also be depicted in percentages, fractions, and decimals.
The Ratio of mixing red and white paint = 1:3
The sum of ratios = 4 (1 + 3)
To mix 12 liters of pink paint, the quantity of red paint = 3 liters (12 x 1/4)
To mxi 12 liters of pink paint, the quantity of white paint required = 9 liters (12 x 3/4)
Cost of red paint per 500ml = £5
The cost of 1 liter of red paint = £10 (£5 x 2)
The total cost of 3 liters of red paint = £30 (£10 x 3)
Cost of white paint per 3 liters = £8
The total cost of 9 liters of white paint = £24 (£8 x 9/3)
The total cost of 12 liters of pink paint mixture = £54 (£30 + £24)
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Properties of Rhombi/Rhombus
Please show your work !
Answers
The properties of Rhombus are:
Opposite angles are equalConsecutive anglesDiagonals bisect each otherDiagonals are perpendicularSymmetryAreaPerimeterExplain about parallelogram ?
A parallelogram is a quadrilateral with two pairs of parallel sides. The opposite sides of a parallelogram are equal in length and parallel to each other. The opposite angles are also equal in measure.
Properties of a parallelogram:
Opposite sides are parallel.
Opposite sides are equal in length.
Opposite angles are equal in measure.
Consecutive angles are supplementary, i.e. their sum is 180 degrees.
Diagonals bisect each other.
Given by the question:
A rhombus, also called a diamond, is a type of parallelogram in which all four sides are equal in length. A rhombus also has the following properties:
Opposite angles are equal: The opposite angles of a rhombus are equal in measure. This means that if angle A is equal to angle C, and angle B is equal to angle D.Consecutive angles are supplementary: The consecutive angles of a rhombus are supplementary, meaning they add up to 180 degrees. For example, if angle A is equal to 80 degrees, then angle B is equal to 100 degrees.Diagonals bisect each other: The diagonals of a rhombus bisect each other at right angles, dividing the rhombus into four congruent right triangles. In other words, the line segment connecting the midpoint of one side to the midpoint of an adjacent side is perpendicular to the line segment connecting the midpoints of the other two sides.Diagonals are perpendicular: The diagonals of a rhombus are perpendicular bisectors of each other, meaning they cut each other at right angles.Symmetry: A rhombus has two lines of symmetry that run through the opposite vertices and bisect the opposite sides.Area: The area of a rhombus can be found by multiplying the length of one diagonal by the length of the other diagonal and dividing by 2. That is, Area = (d1 x d2)/2, where d1 and d2 are the lengths of the diagonals.Perimeter: The perimeter of a rhombus is equal to four times the length of one of its sides. That is, Perimeter = 4s, where s is the length of one side.To know more about parallelogram visit:
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Collins Middle School has 228 sixth grade students. If the sixth grade is 30% of the total school, how many students are in the middle school?
Answers
Answer:
760 students
Step-by-step explanation:
divide 228 ÷ 30%
30% = 0.30
228 ÷ 0.30 = 760
I am a cube number, a square number, an odd number ,my middle digit is prime and i have less than 6 digits
Answers
The number which is a cube number, an odd number, middle digit is prime and is of less than 6 digit is 1331.
The only number that satisfies all the given conditions is 1331.
The number 1331 is a cube number because it is 11 to the power of 3,
which is written as ⇒ (11 × 11 × 11 = 1331).
The number 1331 is also a square number because it is 11 to the power of 2, which means
⇒ (11 × 11 = 121), and 121 is a square number.
The number 1331 is not divisible by 2, so it is an odd number.
The middle digit of the number 1331 is 3, which is a prime number.
And also, the number 1331 has less than 6 digits.
Therefore, the required number is 1331.
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The given question is incomplete, the complete question is
I am a cube number, a square number, an odd number ,my middle digit is prime and i have less than 6 digits, Find that number.
In 2010, bachelor's degrees conferred by colleges and universities in the United States were 1.2 million. In 2020, the number of bachelor's degrees awarded was 1.7 million.
Assume that the relationship between time and degree conferred is linear.
(a) Find an equation describing the number N bachelor's degrees awarded t years after 2010
(b) If the trend continues, estimate the number of bachelor's degrees to be awarded in 2023.
(c) Write a practical sentence expressing how the number of bachelor's degrees awarded changes yearly.
(d) Graph the number of bachelor's degree line over the time period stated in (a)
Answers
The equation that describe the number N bachelor's degrees awarded is N = 0.05t + 1.2 (a). The estimated number of bachelor's degrees to be awarded in 2023 is 1.85 million (b).
The practical sentence is "The number of bachelor's degrees awarded increases by 0.05 million, or 50,000, each year." (c). The graph, see the attachment.
The Explanation to Each Answer(a) To find the equation describing the number N of bachelor's degrees awarded t years after 2010, we can use the formula for a linear equation: N = mt + b, where m is the slope and b is the y-intercept.
We can find the slope by using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line. In this case, the two points are (2010, 1.2 million) and (2020, 1.7 million).
The y-intercept is the value of N when t = 0, which is the number of bachelor's degrees awarded in 2010, or 1.2 million. So the equation is:
N = 0.05t + 1.2(b) To estimate the number of bachelor's degrees to be awarded in 2023, we can plug in the value of t = 2023 - 2010 = 13 into the equation:
N = 0.05(13) + 1.2N = 0.65 + 1.2N = 1.85 millionSo the estimated number of bachelor's degrees to be awarded in 2023 is 1.85 million.
(c) A practical sentence expressing how the number of bachelor's degrees awarded changes yearly is: "The number of bachelor's degrees awarded increases by 0.05 million, or 50,000, each year."
(d) To graph the number of bachelor's degree line over the time period stated in (a), we can plot the two points (2010, 1.2) and (2020, 1.7) and draw a line through them.
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2 tigers for every bear. What is the ratio of tigers to bears?
Answers
Answer:
2:1
Step-by-step explanation:
So, let's say we have two tigers and one bear. If we want to talk about how many tigers we have compared to how many bears we have, we can say "the ratio of tigers to bears is 2 to 1."
What this means is that for every two tigers we have, we have one bear. So if we had four tigers, we would expect to have two bears, because we have two sets of two tigers each, and each set of two tigers corresponds (to be similar to something else) to one bear.
A ratio is just a way of comparing two things, like tigers and bears, by describing how much of one thing there is compared to the other thing. So when we say the ratio of tigers to bears is 2 to 1, we're saying that we have twice as many tigers as we do bears.
Malcom had some milk chocolates and dark chocolates. He ate an equal amount of milk and dark chocolates. He had 5/7 of the milk chocolates and 2/5 of the dark chocolates left. What fraction of the chocolates did Malcom eat?
Answers
Malcom ate 7/10 of the total chocolates.
What is amount?Amount is a term used to describe the quantity of something, usually a numerical value. It can refer to money, a number of people or objects, or a measurement such as weight or volume. Amounts can also be used to represent a value of something abstract, such as time, effort, or emotion. Amounts are typically quantified, meaning they can be easily compared to other amounts.
The fraction of chocolates that Malcom ate is 5/7 of the milk chocolates and 2/5 of the dark chocolates, so the total fraction of chocolates that Malcom ate is (5/7) + (2/5) = 7/10. Therefore, Malcom ate 7/10 of the total chocolates.
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Determine the time taken when distance is 7150km and the speed is 780 km/hr
Answers
Answer:
denote the time by T , distance by S , and the speed by V. We have that S = 7150km, V = 780 km/hr , T= ?.. T = S:V = 7150 : 780 = 9.17
Answer is T = 9.17 hour
please help. Shape Y is an enlargement of shape X by a scale factor of 3. Work out lengths a and b. no
Answers
Answer:
a = 3, b = 9
Step-by-step explanation:
What is a scale factor?A scale factor is the number that you multiply each side of a shape to enlarge it. A scale factor of 3 means that each side of the new shape is three times the size of the original.
If the new shape is 3 times the size of the original, then we can take the side lengths (3 and 1) and multiply them by 3.
3 × 1 = 3 (side a)3 × 3 = 9 (side b)Therefore, the length of a is 3, whereas the length of b is 9.
Let X be a random variable having the gamma
distribution with shape parameter α and scale parameter γ, where α is
know and γ is unknown. let Y = σ log X. Show that
(i) if σ > 0 is unknown, then the distribution of Y is in a location-scale
family;
(ii) if σ > 0 is known, then the distribution of Y is in an exponential family.
Compulsory both subparts required .
Answers
i) If σ > 0 is unknown, then the distribution of Y is in a location-scale family with the parameters: Location parameter: α and Scale parameter: γ
ii) If σ > 0 is known, then the distribution of Y is in an exponential family with the parameters: Shape parameter: α and Scale parameter: σγ
(i) If σ > 0 is unknown, then the distribution of Y is in a location-scale family. This is because the distribution of Y can be expressed as a linear transformation of the distribution of X. Specifically, Y = σ log X = σ(log X - E[log X]) + E[log X], where E[log X] is the expected value of log X. This is the form of a location-scale family, with location parameter E[log X] and scale parameter σ.
(ii) If σ > 0 is known, then the distribution of Y is in an exponential family. This is because the distribution of Y can be expressed as an exponential family distribution with natural parameter -1/σ and sufficient statistic log X. Specifically, the probability density function of Y can be written as f_Y(y) = f_X(e^(y/σ)) * (1/σ) * e^(y/σ) = (1/σ) * e^(-(y-E[log X])/σ) * f_X(e^(E[log X]/σ)), where f_X is the probability density function of X. This is the form of an exponential family distribution, with natural parameter -1/σ and sufficient statistic log X.
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Problem 5: Assume \( A, B, C, D \), and \( X \) are \( n \times n \) matrices, and assume invertibility of matrices whereever needed. Then solve the equation \( A X(B+C X)^{-1}=D \) for \( X \).
Answers
The solution for \( X \) is \( X = (A - D C)^{-1} D B \).
Assume \( A, B, C, D \), and \( X \) are \( n \times n \) matrices, and assume invertibility of matrices wherever needed. Then, the equation \( A X(B+C X)^{-1}=D \) can be solved for \( X \) by following these steps:
Step 1: Multiply both sides of the equation by \( (B+C X) \) to get rid of the inverse:
\( A X = D(B+C X) \)
Step 2: Distribute the \( D \) on the right side of the equation:
\( A X = D B + D C X \)
Step 3: Rearrange the equation to isolate \( X \) on one side:
\( A X - D C X = D B \)
Step 4: Factor out \( X \) on the left side of the equation:
\( (A - D C) X = D B \)
Step 5: Multiply both sides of the equation by the inverse of \( (A - D C) \) to solve for \( X \):
\( X = (A - D C)^{-1} D B \)
Therefore, the solution for \( X \) is \( X = (A - D C)^{-1} D B \).
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A deli owner has room for 65 containers of shredded Parmesan cheese. He has 5-oz and 10-oz containers, and a total of 400 oz of cheese. If 5-oz containers sell for $7 and 10-oz containers sell for $13, how many of each should he sell to maximize his revenue? What is his maximum revenue?
Answers
He should sell 50 5-oz containers and 15 10-oz containers to maximize his revenue.
What is cοntainer?A cοntainer is a standard unit οf sοftware that packages up cοde and all its dependencies sο the applicatiοn runs quickly and reliably frοm οne cοmputing envirοnment tο anοther. Cοntainers are a sοlutiοn tο the prοblem οf hοw tο get sοftware tο run reliably when mοved frοm οne cοmputing envirοnment tο anοther. This cοuld be frοm a develοper’s laptοp tο a test envirοnment, frοm a staging envirοnment intο prοductiοn, and perhaps frοm a physical machine in a data center tο a virtual machine in a private οr public clοud.
Corner point (x, y) Value of 8x+14y
0(0,0) 0
A(65,0) 520
B(50, 15) 610
C(0,40) 560
So, the maximum value is 610
Therefore, the maximum point is B(50, 15)
∴ x = 50, y = 15
So, the maximum value is
Therefore, the maximum point is
Hence, he should sell 50 5-oz containers and 15 10-oz containers to maximize his revenue.
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URGENTT
Latasha is painting a mural for a school project. A model of the mural is shown below. In the model, side T is 7 inches and side S is 9.4 inches
Answers
Answer:Latasha should ask her mom for help
Step-by-step explanation:
Question 1
A high school sports team is ordering sports drinks online from a company. The price of sports drinks varies, based on the number of drinks purchased. For orders of 50 or fewer sports drinks, the price is $0.80 per drink, plus $10 shipping and handling. When more than 50 sports drinks are ordered, the price is $0.70 per drink, plus $17 shipping and handling. What is the maximum amount of sports drinks you can purchase for $80?
A.87
B.90
C.100
D.114
Answers
The maximum number of sports drinks that can be purchased for $80 is 90 when they are priced at $0.70 per drink. (option B)
How to calculate for maximum amount of sports drinks that can be purchased for $80?Let's start by finding the number of sports drinks that can be purchased for $80 when they are priced at $0.80 per drink.
The price of each drink is $0.80, and the shipping and handling cost is $10.
Let x be the number of sports drinks that can be purchased for $80:
0.80x + 10 = 80
Subtracting 10 from both sides:
0.80x = 70
Dividing both sides by 0.80:
x = 87.5
Since we cannot purchase a fraction of a sports drink, we must round down to the nearest whole number, which is 87.
Now let's check if we can purchase more sports drinks for $80 when they are priced at $0.70 per drink.
The price of each drink is $0.70, and the shipping and handling cost is $17.
Let y be the number of sports drinks that can be purchased for $80:
0.70y + 17 = 80
Subtracting 17 from both sides:
0.70y = 63
Dividing both sides by 0.70:
y = 90
Since we cannot purchase a fraction of a sports drink, we must round down to the nearest whole number, which is 90.
Therefore, the maximum number of sports drinks that can be purchased for $80 is 90 when they are priced at $0.70 per drink.
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