The steps necessary for graphing parametric equations include creating a table, solving the equations for t and plotting those points, connecting the points with a smooth curve, and setting up the coordinate plane with t on the horizontal axis (c, d, f, h).
Create a table: Choose a range of values for t and calculate the corresponding values for x and y using the parametric equations. List these values in a table.
Solve the equations for t and plot those points: Solve the parametric equations separately for t to obtain the x and y coordinates. Plot these points on the coordinate plane.
Connect the points with a smooth curve: Once all the points are plotted, connect them with a smooth curve. This curve represents the graph of the parametric equations.
Set up the coordinate plane with t on the horizontal axis: Label the horizontal axis as t and the vertical axis as either x or y. This allows you to visualize how the x and y values change with respect to the parameter t.
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The product of twice a number and three is the same as the difference of five times the number and 8/9
Answer:
-8/9
Step-by-step explanation:
Let the number = x
Expressing the problem Mathematically ;
2x * 3 = 5x - 8/9
6x = 5x - 8/9
6x - 5x = - 8/9
x = - 8/9
Hence, the number is - 8/9
solve for x
103.5
4.7
55.0
Answer:
It will be the first one
Step-by-step explanation:
Hope this Helped
If x + 2y = -6 and 5x + 9y = 7 are true equations, what would be the value of
-4x – 7y?
Answer:HELP BRU
Step-by-step explanation:
Answer:
-13
Step-by-step explanation:
to the extent non-respondents respond differently than the respondents, there is an error in the sampling estimate that is based on respondents only. this is called:
The error in the sampling estimate that occurs when non-respondents differ from respondents is known as non-response bias.
Non-response bias refers to the systematic difference between respondents and non-respondents in a survey or study. It occurs when individuals who choose not to respond to a survey or study have different characteristics or opinions compared to those who do respond. This difference can introduce bias into the sampling estimate because the sample may not accurately represent the target population.
When non-response bias occurs, the estimates based only on the respondents may not fully capture the true characteristics or opinions of the entire population. The extent of non-response bias depends on the factors that influence non-response, such as demographics, attitudes, or behaviors.
To minimize non-response bias, efforts can be made to increase the response rate through various strategies, such as using reminder techniques, offering incentives, or employing appropriate survey methods. Additionally, statistical adjustments can be applied to account for potential biases caused by non-response, such as weighting or imputation techniques.
Awareness of non-response bias is crucial for researchers to accurately interpret and generalize the findings of a study and to understand the potential limitations and sources of error in the sampling estimate.
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Which one is it pleaseee helppppp!
Answer:
-2/1
Step-by-step explanation:
i hope this helps :)
I can't see the image
a flight from Miami to Boston takes 2 hours 17 minutes. the flight left Miami international Airport at 2:46. at what time should it arrive at Boston Logan international Airport?
Answer:
5:03
Step-by-step explanation:
it dosnt say anything about time zones so im going to assume they are using the same time
2:46 is time flight leaves
after 2 hours 17 minutes it arrives
add 2:17 minutes to 2:46 to get answer
2:46
2:17
4:63
63 minutes = 1 hour 3 minutes
5:03
Answer:
Given that a flight from Miami to Boston takes 2 hours 17 minutes.
The flight left Miami international Airport at 2:46.
Time should it arrive at Boston Logan international Airport
(2:46+2hrs17minutes)=(4:63)= (5:03)
(63 min = 1hrs 03 min)
5:03 is the right answer.Question
A solid rectangular right prism is 10 inches long, 9 inches high, and 9 inches deep. At one square base of the prism, a 2 inch high square pyramid is cut from the prism. At the opposite square base of the prism, a square pyramid measuring 3 inches high is added. The bases of the pyramids are the same size as the square bases of the rectangular prism.
What is the volume of the composite figure?
Enter your answer in the box.
_in³
After doing the calculation we can conclude that the volume of the composite figure is 837 cubic inches.
Explain volume?The volume of a cube is defined as the total amount of cubic units that it fills. Volume can be defined as the whole area that an object takes up. The volume of such a cube can be calculated using the equation a3, where an appears to indicate the cube's edge.
The following formula can be used to get the rectangular prism's volume:
Volume = length x width x height
The dimensions in this instance are 10 inches long, 9 inches wide, and 9 inches high. Hence, the rectangular prism's volume is:
Volume of rectangular prism = 10 x 9 x 9 = 810 cubic inches
The volume of the pyramid that was cut from the prism can be calculated using the formula:
Volume equals (1/3) of base area times height.
Since the base of the pyramid is a square with sides of 9 inches, its base area is:
Base area of cut pyramid = 9 x 9 = 81 square inches
The height of the pyramid is 2 inches, so its volume is:
Volume of cut pyramid = (1/3) x 81 x 2 = 54 cubic inches
The volume of the pyramid that was added to the opposite base of the prism can also be calculated using the same formula:
Base area of added pyramid = 9 x 9 = 81 square inches
Volume of added pyramid = (1/3) x 81 x 3 = 81 cubic inches
To find the volume of the composite figure, we need to subtract the volume of the cut pyramid from the volume of the rectangular prism and then add the volume of the added pyramid:
Volume of composite figure = Volume of rectangular prism - Volume of cut pyramid + Volume of added pyramid
Volume of composite figure = 810 - 54 + 81 = 837 cubic inches
Therefore, the volume of the composite figure is 837 cubic inches.
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A local little league has a total of 70 players of whom 20% are left handed how many are left handed?
Answer:
14 players are left handed
Step-by-step explanation:
70 players multiplied by 20% =14
Find the Perimeter of the figure below , composed of a rectangle and a semicircle Round to the nearest tenths place.
The perimeter of the figure is 53.7.
What is perimeter?Perimeter can be defined as the total distance around a object.
To calculate the perimeter of the the figure below, we use the formula below.
Formula:
P = 2l+w+πw/2.......... Equation 1From the diagram,
Given:
l = 14w = 10π = 22Substitute these values into equation 1
P = (2×14)+10+(3.14×10/2)P = 28+10+15.7P = 53.7Hence, the perimeter of the figure is 53.7
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Consider the reaction below for the following question. 2Na + H2O= Na2O + H2
a. If you start with 25.0 g of sodium and 45.5 g of water how many grams of Sodium Hydroxide will be produced. Show all work please. Thank You!
The reaction between 2Na and H2O produces Na2O and H2. To calculate the grams of Sodium Hydroxide (NaOH) produced, we need to determine the limiting reactant. First, convert the given masses of sodium and water to moles using their molar masses. Then, compare the mole ratios between sodium and NaOH in the balanced equation. The limiting reactant is the one that produces fewer moles of NaOH. Finally, convert the moles of NaOH to grams using its molar mass.
To find the grams of Sodium Hydroxide (NaOH) produced, we need to determine the limiting reactant in the given reaction: 2Na + H2O = Na2O + H2.
Step 1: Convert the given masses of sodium (25.0 g) and water (45.5 g) to moles using their molar masses. The molar mass of sodium (Na) is 22.99 g/mol, and the molar mass of water (H2O) is 18.015 g/mol.
For sodium: 25.0 g Na x (1 mol Na/22.99 g Na) = 1.09 mol Na
For water: 45.5 g H2O x (1 mol H2O/18.015 g H2O) = 2.53 mol H2O
Step 2: Compare the mole ratios between sodium and NaOH in the balanced equation. From the equation, we can see that 2 moles of sodium react to produce 2 moles of NaOH.
Step 3: Determine the limiting reactant. The limiting reactant is the one that produces fewer moles of NaOH. In this case, sodium is the limiting reactant because it produces only 1.09 mol NaOH, while water can produce 2.53 mol NaOH.
Step 4: Convert the moles of NaOH to grams using its molar mass. The molar mass of NaOH is 39.997 g/mol.
For sodium: 1.09 mol NaOH x (39.997 g NaOH/1 mol NaOH) = 43.6 g NaOH
Therefore, 43.6 grams of Sodium Hydroxide (NaOH) will be produced.
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Calculate the test statistic 2
A local retailer currently schedules employees based on the assumption that they serve customers uniformly throughout the week (the same number each day). Management is starting to question this assumption and decides to collect data on the number of customers served each day of the week to
perform a Chi-Square goodness-of-fit test at a 5% significance level.
Monday Tuesday Wednesday Thursday Friday
Number Served 40 33 35 32 60
Total 200
Provided the assumptions of the test are satisfied, calculate the test statistic 2
The value of a Chi-Square goodness-of-fit test at a 5% significance level is 13.45
We need to perform a Chi-Square goodness-of-fit test at a 5% significance level.
First we need to calculate the expected count
expected value = ∑(x)/n
= (40 + 33 + 35 + 32 + 60)/5
= 200/5
= 40
Now we need tocalculate the test statistic value
Observed expected O - E (O - E)^t/E %
40 40 0 0 0
33 40 -7 1.225 9.11
35 40 -5 0.625 4.65
32 40 -8 1.6 11.90
60 40 20 10 74.35
Chi square test is 13.45
Therefore, the value of test statistics is 13.45.
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here is a question :D
Answer:
a) 1 : 4
b) 60 : 180 or 1 : 3
Step-by-step explanation:
Answer:
a. 1:4
b. 1:3
Step-by-step explanation:
Let’s start with a.
So the ratio 14:56 can be divided in two to 7:28 and they are both divisible by 7 we its most simplified form is 1:4 because 28/7 is 4 and 7/7 is 1.
Now for b.
So if 240 were sold in total and 180 of them were online them doing 240-180, 60 of them were sold in person so the ratio is 60:180 which can be simplified to 30:90 to 15:45 to 3:9 to 1:3.
A client presents in the Emergency Department with a suspected MI. Which medications should be given as soon as possible
In the case of a suspected myocardial infarction (MI) in a client presenting in the Emergency Department, certain medications should be administered as soon as possible to improve outcomes.
When a client presents with a suspected MI, time is of the essence in initiating appropriate treatment to minimize damage to the heart muscle and improve outcomes. The administration of aspirin is a priority as it helps prevent further blood clot formation. Aspirin inhibits platelet aggregation, reducing the risk of thrombus formation in the coronary arteries.
Nitroglycerin is another medication that should be given promptly. Nitroglycerin helps relieve chest pain by dilating coronary arteries and improving blood flow to the heart. It also helps reduce preload and afterload, thereby decreasing the workload on the heart.
In cases where the client experiences severe pain despite aspirin and nitroglycerin administration, morphine can be administered to alleviate pain and reduce anxiety. Morphine also helps dilate blood vessels, which can further improve blood flow to the heart.
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"A client presents in the Emergency Department with a suspected myocardial infarction (MI). Which medications should be given as soon as possible to improve outcomes?"
SOMEONE PLZ HELP
I need an explanation of how it’s supposed to work too. Thx
Tom 84 more pieces of fruit and Janet Sylvia ate twice as many pieces of fruit as Tom. X represents the number of pieces of fruit that Janet ate. write an expression to represent the amount of fruit that Sylvia ate
Answer:
2(x+4)
Step-by-step explanation:
Tom ate four more pieces of fruit than Janet. Sylvia ate twice as many pieces of fruit as Tom. If x represents the number of pieces of fruit that Janet ate, write an expression to represent the amount of fruit that Sylvia ate.
Janet: (X)
Tom: X+4
Sylvia: 2(X+4)
I started by making listing out who did what. Janet is stated as clearly X, so that's all we need for her.
The question says Tom ate four more pieces of fruit than Janet. This is simple addition since you're adding four to Janet's amount of fruit. Therefore this makes Tom's equation X+4.
Then Sylvia eats TWICE the amount as Tom. In simpler terms, she's doubling the amount of food Tom eats. Doubling something is simply multiplying it by two. Therefore, we take Tom's amount eaten, which we made into an equation in the paragraph before this one, and multiply it by two.
Placing parenthesis around Tom's equation means that that part is solved before its multiplied. We do this because we need to acknowledge that X+4 is its own equation that needs to be clarified/solved before being doubled. So, the answer is 2(X+4)
If A and B are 2 times 2 with columns a_1, a_2, and b_1, b_2, respectively, then AB = [a_1 b_1 a_2 b_2]. Each column of AB is a linear combination of the columns of B using weights from the corresponding column of A. AB + AC = A (B + C) A^T + B^T = (A + B)^T The transpose of a product of matrices equals the product of their transposes in the same order. If A and B are 3 times 3 and B = [b_1 b_2 b_3], then AB = [Ab_1 + Ab_2 + Ab_3]. The second row of AB is the second row of A multiplied on the right by B. (AB)C = (AC) B (AB)^T = A^T B^T The transpose of a sum of matrices equals the sum of their transposes.
A and B are 2 x 2 with columns a1, a2, and b1, b2, respectively. AB = [a1 b1 a2 b2].
Each column of AB is a linear combination of the columns of B using weights from the corresponding column of A.So, we have:AB=⎡⎣⎢⎢a1a2⎤⎦⎥⎥[b1b2]=[a1b1+a2b2a1b1+a2b2]The order of AB is 2 × 2.Therefore, the blank will be filled by "2 × 2". Hence, the answer is 2 × 2.
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A number is selected from first 25 natural numbers. What is the probability that it is a multiple of 3
Answer:
multiple of 3 in 25 natural numbers are- 3, 6 , 9 , 12, 15, 18 , 21, 24
So probability is 8/25
Hope u get it.
suppose 44% of politicians are lawyers. if a random sample of size 853 is selected, what is the probability that the proportion of politicians who are lawyers will be less than 40%? round your answer to four decimal places.
The probability that the proportion of politicians who are lawyers will be less than 40% is 0.009299 .
Given :
Population Proportion ( p ) = ( 44 % ) = 0.44
Sample proportion ( p hat ) = ( 40 % ) = 0.4
Size of sample ( n ) = 853
To find : P ( p hat < 0.4 )
Formula : ( p hat - p ) / \(\sqrt{ p * ( 1 - p ) / n }\)
Substituting values in the above formula ,
z = ( 0.4 - 0.44 ) / \(\sqrt{ 0.44 * ( 1 - 0.44 ) / 853}\)
z = - 2.3535
z - score = -2.3535
Finding the p - value :
p - value = 0.009299
Therefore , the probability that the proportion of politicians who are lawyers will be less than 40% is 0.009299 .
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Ryan has 2,000 grams of Flerovium-289, which has a half life of 30 seconds. Use
the formula y = ab* to figure out how much Flerovium-289 you will have after
5 minutes. (Hint: x is the the total number of half lives in 5 minutes)
(.5)_
a.) 62.5 grams
b.) 1.95 grams
c.) 353.55 grams
d.) 1,000 grams
y =____
How to solve compound figures
Answer:
320 in²
Step-by-step explanation:
A compound figure is made up of two or more simple figures.
In this problem, we can split the compound figure into two squares. One of the squares has side length 16 and the other has side length 8. (see the attached image)
Then, we can solve for the squares' areas separately:
larger square smaller square
16 in × 16 in = 256 in² 8 in × 8 in = 64 in²
Finally, to get the area of the compound figure, we can add the areas of each simple figure it is composed of — in this case, the areas of the two squares.
256 in² + 64 in² = 320 in²
Imani earned $48 in interest after two years on an account that paid 8% simple interest annually. Use the formula I = Prt to find Imaríi's principal balance.
$30.00
$76.80
$300.00
$768.00
Answer:
I=$48
t=2 years
r=8%
Principal=(I×100)/(t×r)
($48×100)/(2×8)
$4800/16
$300
Solve x^2 + 5x + 6 = 0
Answer:
x= -2,-3
Step-by-step explanation:
x=(-b±√b^2-4ac)/2a quadratic formula
Write the equation in Slope Intercept Form
m=slope= 1/3 point (-3,-2)
please help soon! first person gets brainliest!!!!
Answer: I think the answer is y = 1/3x -1 please let me know if I'm wrong !
Step-by-step explanation:
ONE SHARE OF BEEPCO PREFERRED STOCK PAYS AN
ANNUAL DIVIDEND OF $1. 20. TODAY BEEPCO CLOSED AT
$34. 50 WITH A NET CHANGE OF -$0. 50. WHAT WAS THE
STOCK'S YIELD AT YESTERDAY'S CLOSING PRICE?
O
The yield of stock at yesterday's closing price is 3.43%.
What is Annual Dividend?Annual dividend is the profit of the stock which is divided among the shareholders, both common and preferred shareholders annually.
Given,
Annual dividend = $1.20
Today's closing price = $34.50
Net change = -$0.50
Let x be yesterday's closing price.
Net change = Today's closing price - yesterday's closing price
⇒ -0.50 = 34.50 - x
⇒ x = 34.50 + 0.50
⇒ x = 35
Yield = \(\frac{Annual dividend}{Price}\) × 100
= \(\frac{1.2}{35}\) × 100
= 3.4286 % ≈ 3.43 %
Hence the stock's yield at yesterday's closing price of preferred stock is 3.43 %.
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Determine Whether 5c/15c^2 +7d is a polynomial. If it is a polynomial, state the degree of the polynomial
Which equation matches the table?
An equation that matches the table include the following: y = x + 5.
How to determine an equation of this line?In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):
y - y₁ = m(x - x₁)
Where:
m represent the slope.x and y represent the points.First of all, we would determine the slope of this line;
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Slope (m) = (6 - 5)/(1 - 0)
Slope (m) = 1/1
Slope (m) = 1.
At data point (0, 5) and a slope of 1/, a linear equation in slope-intercept form for this line can be calculated by using the point-slope form as follows:
y - y₁ = m(x - x₁)
y - 5 = 1(x - 0)
y - 5 = x
y = x + 5
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Amelia is at a lake 8 miles from the trailhead. On her return back to her car she notices the time at certain mileposts. She notices that she is at the 5.5 mile marker after 1 hour and at the 3 mile marked after 2 hours. What is Amelia's rate of change in miles/hour? Write your answer using a complete sentence. It is possible to earn partial credit if you show some mathematical work.
Amelia's rate of change in miles per hour can be determined by calculating the difference in distance traveled and the difference in time elapsed between two mile markers.
To calculate Amelia's rate of change:
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in miles per hour, we can use the formula:
Rate of change = (Distance traveled) / (Time elapsed)
According to the information provided, Amelia is at the 5.5 mile marker after 1 hour and at the 3 mile marker after 2 hours. Using the formula, we can calculate the rate of change between these two mile markers:
Rate of change = (5.5 - 3) / (2 - 1) = 2.5 miles per hour
Therefore, Amelia's rate of change in miles per hour is 2.5 miles per hour. This means that on average, she is covering a distance of 2.5 miles for every hour of time elapsed.
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list the factors of the following
1. 4
2. 9
3. 20
kindly help plz
Answer:
1. 1, 2, 4
2. 1, 3, 9
3. 1, 2, 4, 5, 10, 20
Step-by-step explanation:
Answer:
1. 8,12,16,20,24, etc , 2 . 18,27,36,45, etc, 3. 40,60,80,100,120,140 etc
Step-by-step explanation:
Which input value produces the same output value for the two functions on the graph?
Answer:
x = 3Step-by-step explanation:
f(x) = - 2/3x + 1g(x) = 1/3x - 2 Solution 1It is the intersection of the lines, as per the graph it is the point (3, -1), so the answer is x = 3Solution 2Same output means Intersection of outputs, which means f(x) = g(x)
f(x) = g(x)-2/3x + 1 = 1/3x -21/3x + 2/3x = 1 + 2x = 3Answer:
The answer to this question is D.) x = 3
Step-by-step explanation:
Good luck :) !!!!!!!!!!!!!
Which of the scatter plots below shows the most accurate line of best fit?
W.
X.
Y.
Z.
A.
X
B.
W
C.
Y
D.
Z
Answer:
WStep-by-step explanation:
\(hii\)
have a nice day ✌️✌️
hope this helps you ✌️✌️✌️
What would be the perimeter of this figure?
Answer:
Option B = 108 cm
Step-by-step explanation:
Please refer the figure attached
As the given figure have four 90° angles,
AB = CH
BC = AH
So, AB = 30 cm , CH = 30 cm
BC = 15 cm, AH = 15 cm
Already given ED = FG = 5 cm, EF = 11 cm
Working note : As, AB = CH = 30 cm
CH = CD + 3cm + GH
30 = CD + 3cm + GH
CD + GH = 27 cm
Perimeter is the overall measure of the boundary of the given figure, ie
AB + BC + CD + DE + EF + FG + GH + AH
= 30 + 15 + CD + 5 + 11 + 5 + GH + 15
= CD + GH + 81
= 27 + 81
Perimeter = 108 cm