The wonderful treasures being referred to in the sentence could vary depending on the context. However, the phrase that best completes the sentence is (d) Naura's skirt and top.
In this context, the sentence suggests that the wonderful treasures being referred to are Naura's skirt and top.
These items of clothing are considered treasures because they hold value or significance to the speaker or the characters in the conversation. They may be cherished for their beauty, sentimental value, uniqueness, or any other reason.
The phrase implies that the skirt and top are special and noteworthy in some way, perhaps due to their style, design, or the memories associated with them.
Complete Question:
What do all these wonderful treasures refer to? choose the phrase that best completes this sentence.
(a) the outfits the sisters choose
(b) Heba's leggings and sweaters
(c) the two cute furry kittens
(d) Naura's skirt and top
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Given a mean and standard deviation of 3,500 and 2,000 cfs, respectively, find the 2-, 10-, and 100-year peak floods for a normal distribution.
The 2-, 10-, and 100-year peak floods for a normal distribution are 5500 cfs.
Given a mean and standard deviation of 3,500 and 2,000 cfs, respectively, the 2-, 10-, and 100-year peak floods for a normal distribution can be found as follows:
Formula used in finding the peak flood is as follows:
Q_T= Q_m + K_T
σ
Where Q_T is the flow for a given period,
Q_m is the mean flow, K_T is the coefficient of skewness, and σ is the standard deviation of the flows.
For a normal distribution, K_T= frac{\text{duration of period in years}-1}{2}\times\frac{\text{duration of period in years}+1}{2}
Substitute the mean and standard deviation to the formula above:
When the period of interest is 2 years, the coefficient of skewness is calculated below:
[{{K}_{T}}=\frac{\text{(2-1)(2+1)}}{2}=1\]
Also, K_{T} is 1 for the 10-year and 100-year flood.
When these values are computed, we get the following values:
Q_{2}=3500+1(2000)=5500 \text{ cfs}
Q_{10}=3500+1(2000)=5500 \text{ cfs}
Q_{100}=3500+1(2000)=5500 \text{ cfs}
Therefore, the 2-, 10-, and 100-year peak floods for a normal distribution are 5500 cfs.
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Find the value of x to the nearest tenth.
Answer:
x = 14.57
explanation:
adjacent : x hypotenuse : 17angle : 31°\(\sf cos(x)= \dfrac{adjacent}{hypotensue}\)
\(\hookrightarrow \sf cos(31)= \dfrac{x}{17}\)
\(\hookrightarrow \sf 17*cos(31)= x\)
\(\hookrightarrow \sf x = 14.57\)
Answer:
x = 14.6 (nearest tenth)
Step-by-step explanation:
Use the cosine trig ratio:
\(\mathsf{\cos(\theta)=\dfrac{A}{H}}\)
where:
\(\theta\) is the angleA is the side adjacent the angleH is the hypotenuseGiven:
\(\theta\) = 31°A = xH = 17\(\implies \mathsf{\cos(31)=\dfrac{x}{17}}\)
\(\implies \mathsf{x=17\cos(31)}\)
\(\implies \mathsf{x=14.6 \ (nearest \ tenth)}\)
stratified random sampling involves: group of answer choices dividing the population into overlapping groups taking a random sampling of a percentage of the pre-chosen groups (usually 10% of total groups) choosing non-overlapping clusters (i.e. streets of a city) and collecting data from all members of the selected cluster none of the above
Stratified random sampling involves dividing the population into non-overlapping groups, called strata, based on specific characteristics or attributes. From each stratum, a random sample is taken, usually based on a predetermined percentage of the total groups.
Stratified random sampling involves dividing the population into overlapping groups, or strata, based on a certain characteristic, such as age or income. From each stratum, a random sample is taken of a pre-determined percentage of individuals. This ensures that the sample is representative of the entire population, as each stratum is proportionately represented in the sample. This method is often used when the population is diverse and there are subgroups that may have different characteristics or opinions. By using stratified random sampling, researchers can ensure that each subgroup is represented in the sample, allowing for more accurate results. This method can be more complex and time-consuming than other sampling methods, but it provides a more accurate representation of the population being studied.
The collected data from each selected group is then combined to form the overall sample, which is representative of the entire population. This method helps ensure that different segments of the population are adequately represented, providing more accurate and reliable results in statistical analysis.
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In a recent national football league season tom brady philip rivers and aaron rodgers throw a total of 94 touchdown passes if we first had two more touchdowns and roger and six fewer than brady how many did brady have
Answer:
88 is the answer to the question
What is required is a comparison between radio and television in reading Al-Fatihah from its beginning:
Which one precedes the other? Why?
How much is the time difference between them?
What is the time difference between them using math and network concepts?
Al-Fatihah is an Islamic prayer recited during the five daily prayers. Comparing radio and television in reading Al-Fatihah from its beginning requires an analysis of how each medium conveys the prayer to its audience. Radio precedes television in reading Al-Fatihah from its beginning.
This is because radio broadcasting began in the early 1900s while television broadcasting began in the late 1940s.
This delay can range from a few seconds to a few minutes depending on several factors such as the geographical location of the audience, the strength of the signal, and the quality of the receiver. Therefore, the time difference between radio and television in reading Al-Fatihah can vary depending on the factors mentioned above.
Mathematically, the time difference between radio and television can be calculated using the formula: d = s / tWhere d is the distance between the transmitter and the receiver, s is the speed of the signal, and t is the time it takes for the signal to reach the receiver.
In this case, d is the distance between the broadcasting station and the audience, s is the speed of the signal which is constant (i.e., the speed of light), and t is the time it takes for the signal to reach the audience. Since the speed of light is approximately 299,792,458 m/s, the time it takes for the signal to reach the audience can be calculated using the following formula:t = d / s
Therefore, the time difference between radio and television in reading Al-Fatihah can be calculated by subtracting the time it takes for the radio signal to reach its audience from the time it takes for the television signal to reach its audience. This difference can range from a few milliseconds to a few minutes depending on the factors mentioned above.
In network concepts, the time difference between radio and television in reading Al-Fatihah can be affected by the bandwidth of the network. The bandwidth is the amount of data that can be transmitted over a network in a given time. If the bandwidth is low, it can cause a delay in the transmission of the signal which can affect the time difference between radio and television.
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450000000000 in standard form
Answer:
4.5 * 107
Step-by-step explanation:
What multiplication equattion can be used to explain the solution to 15 / 1/3
Step-by-step explanation:
15 / (1/3) is equal to 15 x 3/1 = 15 x 3 = 45
ESS ZONE Block 3> Topic 1 > Representing Ratios
Li buys ads for a clothing brand. Li's ratio
of ads on social media to ads on search
sites is always 8: 3.
Complete the table.
Month
April
May
June
Ads on
Social Media
128
256
96
Ads on
Search Sites
48
96
DONE
The table becomes:MonthAprilMayJuneAds onSocial Media12825696Ads onSearch Sites484836
The ratio between the number of ads on social media to the number of ads on search sites that Li buys ads for a clothing brand is always 8: 3. Given that, we can complete the table.MonthAprilMayJuneAds onSocial Media12825696Ads onSearch Sites4896.
To get the number of ads on social media and the number of ads on search sites, we use the ratios given and set up proportions as follows.
Let the number of ads on social media be 8x and the number of ads on search sites be 3x. Then, the proportions can be set up as8/3 = 128/48x = 128×3/8x = 48Similarly,8/3 = 256/96x = 256×3/8x = 96.
Similarly,8/3 = 96/36x = 96×3/8x = 36
Therefore, the table becomes:MonthAprilMayJuneAds onSocial Media12825696Ads onSearch Sites484836.
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Please help will give Brain
State whether set of ordered pairs represent a function
{(-13,4) , (7,-15), (-13,9) (6,-12) (-18,0)
Answer:
No, the given set of pairs does not represent a function
Step-by-step explanation:
For a set of values to be a function, each input must have one and only one output value
Now, for the given set, we can note that:
The input -13 has two output values; 4 and 9
Therefore, this set is not a function
Hope this helps :)
i'm the worst at math someone help
Hey there! I'm happy to help!
First of all, don't worry so much about struggling with something difficult! It's part of the human experience. Our minds are wired to be challenged but then when we push through and have faith in ourselves that's how we grow and improve!
What we are dealing with here are lines. We are being given the coordinates for one endpoint of a line and a midpoint and we want to find the other endpoint.
Let's just go one-dimensional first to make this easier to understand. Imagine that you have a number line. You draw a line going from 1 to 7. So, 1 and 7 are the two endpoints. Your midpoint is going to be halfway between those two. To find the middle of anything, you just add the two numbers and divide them by two.
1+7=8
8/2=4
So, 4 is our midpoint in this situation.
So, what if we just had our endpoint 1 and our midpoint 4? Well, we see that we go forward three spaces to get to 4. Now we are halfway! Then, we just do another three to make it to our finish line, which is 7. Or, we just take that distance and multiply it by two! This is related to our divide by two rule but just backward!
So, let's look at these problems.
------------------------------------------------------------------------------------------
A.
We have the coordinates of our line here. Our endpoint is (1,-9) and our midpoint is (4,-1). Remember what we did with our number line? We are basically going to do it with our x and y values.
So, to go from our endpoint 1 to 4 we go three spaces. If we go another 3 spaces, it will be 7. So, our x-value is 7.
With our y-values, we go from -9 to -1, so we climb 8 spaces. If we add another 8 spaces we will end up at 7, so our y-value is 7 again!
So, our other endpoint is (7,7)!
------------------------------------------------------------------------------------------
B.
To go from -2 to 9 is adding 11, so we add another 11 to 9 to give us an x-value of 20.
Going from 19 to 2 is subtracting 17, so we need to subtract another 17, which gives us a y-value of -15.
So, our endpoint is going to be (20, -15).
------------------------------------------------------------------------------------------
Have a wonderful day and keep on learning! :D
100 POINTS I will report all bad answers. I have over 2.5k points so I can easily repost if I have too. ONLY LEGIT ANSWERS. --
Given the linear functions f(x) = x − 3 and g(x) = −2x + 4, determine (f ⋅ g)(x).
(f ⋅ g)(x) = −2x − 12
(f ⋅ g)(x) = −2x^2 − 12
(f ⋅ g)(x) = −2x^2 − 2x − 12
(f ⋅ g)(x) = −2x^2 + 10x − 12
The product of the two linear functions f(x) = x − 3 and g(x) = −2x + 4 is -2x² + 10x - 12
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Given the linear functions f(x) = x − 3 and g(x) = −2x + 4, hence:
(f.g)(x) is the product of the two functions:
(f . g)(x) = (x - 3)(-2x + 4)
(f . g)(x) = -2x² + 6x + 4x - 12 = -2x² + 10x - 12
The product of the two linear functions f(x) = x − 3 and g(x) = −2x + 4 is -2x² + 10x - 12
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√
To the nearest minute, how many minutes
will it take to fill the balloon? Use 3.14
for T.
A. 129 minutes
B. 103 minutes
C. 181 minutes
D. 233 minutes
Where the radius of the ballon is given, the time taken to fill the balloon is: is 55.23 minutes or 55 minutes approximately.
What is the explanation for the above response?
The volume of a sphere is given by the formula:
V = (4/3)π³
V = Volume
r = Radius
Since the ballon is leaking at the rate of 26 cubic feet per minute, it means that the change of volue of the ballon is alow 26 cubic feet per minute.
If we replace the value for r (which is 7) in the above formula, we have:
V = (4/3) x 3.14 x 7³
V = 1436ft³
Thus, the time taken for the ballon to get empty is:
1436.03/26
= 55.23 mi
To the nearest minutes, that would be
55 minutes.
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Full Question:
Although part of your question is missing, you might be referring to this full question:
Air is leaking from a spherical-shaped advertising balloon at the rate of 26 cubic feet per minute. If the radius of the ball is 7 feet, to the nearest minute,how long would it take for the balloon to empty fully ? Round your answer to the nearest minute. Use the approximate of value of π, that is 3.14.
(2x+5)*
5x Angle addition postulate
The value of x determined by Angle addition postulate is (x = 25).
What is defined as the Angle addition postulate?The angle addition postulate in geometrical states that if two or more angles are placed side by side with a common vertex as well as a common arm between every pair of angles, the sum of those angles equals the total sum of the resulting angle. For example, if ∠AOB and ∠BOC are adjacent angles on the a common vertex O with OB as the common arm, then we have ∠AOB + ∠BOC = ∠AOC based on the angle addition postulate.As per the given questions;
The two angles are given as;
∠ABD = 5x + 10
and ∠DBC = 2x - 5
By the angle addition postulate;
The sum of both the angles will be 180.
Put the values;
∠ABD + ∠DBC = 180
5x + 10 + 2x - 5 = 180
Simplifying;
7x + 5 = 180
7x = 180 - 5
7x = 175
x = 25.
Thus, the values of x is determined as the (x = 25).
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The correct question is-
Find the value of x Angle addition postulate, when the value of two angles are-
(5x + 10) and (2x - 5)
which is true for a binomial distribution?multiple choicethe probability of success remains the same from trial to trial.
b) 'The probability of success remains the same from trial to trial' is true for a binomial distribution.
A binomial distribution is a discrete probability distribution that describes the number of successes in a fixed number of independent trials, where the probability of success remains constant from trial to trial.
The Poisson distribution, on the other hand, is a discrete probability distribution that describes the number of events occurring in a fixed interval of time or space, where the events are rare and random, and the mean number of events per interval is constant.
The number of possible outcomes in a binomial distribution depends on the number of trials and the number of possible outcomes in each trial, and there is no specific requirement for a minimum number of outcomes.
The value of T is not relevant or defined in the context of a binomial distribution.
Correct Question :
Which is true for a binomial distribution?
a) It approximates the Poisson distribution
b) The probability of success remains the same from trial to trial
c) There are ten or more possible outcomes
d) The value of T Is equal to 1.50,
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if e = 0.3 and all base classifiers are independent, the error rate of the ensemble classifier will be smaller than e.T/F
True, the error rate of the ensemble classifier will be smaller than e when e = 0.3 and all base classifiers are independent.
The error rate of an ensemble classifier can be expressed as follows:
error rate = E(Y ≠ h(X)),
where Y is the true class label, h(X) is the predicted class label, and E() denotes the expected value.
Assuming that all base classifiers are independent, the probability of error for each classifier is e = 0.3. Then, the probability that a majority of the classifiers will make an error is given by the binomial distribution:
P(X > n/2) = ∑(n/2 to n) (n choose k) e^k (1-e)^(n-k)
where n is the number of classifiers in the ensemble, and X is the number of classifiers that make an error.
Since we have assumed that all base classifiers are independent, we can simplify the above expression using the central limit theorem, which states that the binomial distribution approaches a normal distribution as n gets larger. Therefore, we have:
P(X > n/2) ≈ 1 - Φ((n/2 - ne)/sqrt(ne(1-e))),
where Φ() is the standard normal cumulative distribution function.
Substituting e = 0.3 and simplifying, we get:
P(X > n/2) ≈ 1 - Φ((n/2 - 0.3n)/sqrt(0.21n))
As n gets larger, the right-hand side of the above expression approaches 0. Therefore, the error rate of the ensemble classifier approaches 0 as the number of base classifiers increases. In other words, the error rate of the ensemble classifier will be smaller than e = 0.3 when all base classifiers are independent.
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Please Help me ASAP i need to turn it in, in like 10 min. Please answer the questions in the screenshot ill give u 20 points Thank you so much! Have a great day! <333 :)
Answer:
for #1 its the 1st and 4th box
for # 2 it's 13.5 and 20.25
Step-by-step explanation:
1st box - 10 ÷ 5 = 2 and 25 ÷ 5 = 5
4th box - 10 x 2 = 20 and 25 x 2 = 50
you have to make sure that you do the same thing for both sides of the equation
6 x 2.25 = 13.5
9 x 2.25 = 20.25
Dilation is an enlarging or shrinking of a math figure using a specific scale factor
multiply your numbers by that given scale factor to give you your answer of option 2
hope this is right I'm not completely positive about the send one.
a helium filled balloon has a volume of 50.0 l at 25 and 1.08 atm what volume will it have at .855 atm and 10.0 c
The volume of the helium-filled balloon at 0.855 atm and 10.0 °C will be approximately 42.81 L, calculated using the ideal gas law equation.
To compute this problem, we can use the ideal gas law, which states that PV = nRT, where P is the pressure, V is the volume, n is the number of moles, R is the gas constant, and T is the temperature in Kelvin.
First, we need to convert the initial temperature of 25 °C to Kelvin:
T1 = 25 + 273.15 = 298.15 K
Next, we can rearrange the ideal gas law equation to solve for V2:
V2 = (P1 * V1 * T2) / (P2 * T1)
We have:
P1 = 1.08 atm (initial pressure)
V1 = 50.0 L (initial volume)
P2 = 0.855 atm (final pressure)
T2 = 10.0 °C (final temperature)
Converting the final temperature to Kelvin:
T2 = 10 + 273.15 = 283.15 K
Substituting the values into the equation:
V2 = (1.08 * 50.0 * 283.15) / (0.855 * 298.15)
V2 ≈ 42.81 L
Therefore, the volume of the helium-filled balloon at 0.855 atm and 10.0 °C will be approximately 42.81 L.
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at a local fair, a smartphone company hosted a booth and brought several models of its phones for customers to play with and look at up close. customers were then encouraged to fill out comment cards letting the company know which of the models was their favorite. at the end of the fair, the company would randomly select a card and the owner of that card would win the smartphone of his or her choice. this is an example of
The given content is an example of sweepstakes.
What is a sweepstake?
A sweepstake is a type of contest in which a prize or prizes are given to the winner or winners. Sweepstakes began as a type of lottery tied to the sale of a product. Sweepstakes became strictly "No purchase necessary to enter or win" and "A purchase will not increase your chances of winning" under these laws, especially because many sweepstakes companies skirted the law by stating only "no purchase necessary to enter," removing the consideration (one of the three legally required elements of gambling) to prevent sweepstakes abuse.
Based on the above definition,
we can conclude that the given question is an example of a sweepstake.
Hence, this is an example of sweepstakes.
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Simplify the expression: 7 - 7(5 + x) - 9x
Your answer
Answer:
-16x-28
Step-by-step explanation:
Break it into little pieces; start with distributing the -7:
-7(5+x)
-35-7x
Now add the rest of the problem: 7-35-7x-9x
Combine like terms: 7-35 7x-9x
7-35=-28 7x-9x=-16x
Rearrange so the coefficient and variable are upfront, giving you:
-16x-28
Kianas soccer teams ratio of wins to losses is 5:3. Her team has played 24 games how many games have they won? 
Given:
Kianas soccer teams ratio of wins to losses is 5:3.
Her team has played 24 games.
To find:
The number of games they won.
Solution:
Let the number of games they won be 5x and the number of games they lost be 3x.
Total number of games is 24.
\(5x+3x=24\)
\(8x=24\)
\(x=\dfrac{24}{8}\)
\(x=3\)
Now, the number of games they won is:
Number of games they won = \(5x\)
= \(5(3)\)
= \(15\)
Therefore, they won 15 games.
if you randomly select a card from a well-shuffled standard deck of 52 cards, what is the probability that the card you select is a heart or 7?
The probability which represents the likelihood of randomly selecting a card that is a heart or a 7 from a well-shuffled standard deck is 4/13.
To calculate the probability of selecting a card that is either a heart or a 7 from a standard deck of 52 cards, we need to determine the number of favorable outcomes (cards that are hearts or 7s) and the total number of possible outcomes (all the cards in the deck).
Let's break it down:
Number of favorable outcomes:
- There are 13 hearts in a deck (one for each rank).
- There are four 7s in a deck (one for each suit, including the 7 of hearts).
- However, we need to subtract one card (the 7 of hearts) from the count since it has already been counted as a heart.
So, the number of favorable outcomes is 13 + 4 - 1 = 16.
Total number of possible outcomes:
- There are 52 cards in a deck.
Therefore, the probability of selecting a card that is either a heart or a 7 is:
Probability = Number of favorable outcomes / Total number of possible outcomes
= 16 / 52
= 4 / 13
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What is the inverse of the function f(x) = 2x– 12?
h(x) = 48x - 4
h(x) = 48x + 4
h(x) = 4x - 48
h(x) = 4x + 48
Answer:
Step-by-step explanation
For the time, call f(x) = y
Interchange x and y
y = 2x - 12
x = 2y - 12
Add 12 to both sides
x + 12 = 2y
Divide both sides by 2
x/2 + 12/2 = y
x/2 + 6 = y
x/2 + 6 = h(x)
Nothing I'm getting looks like what you've given us. Perhaps this is a different question?
I know it's not a lot of points but yeah :(
Answer:
2) A, 3) Shawn is looking for a good book, he reads 12 books and then decides to read 1/4 of the amount he already read. How many books has Shawn read in total? 4) A, C, E. 5) 4
Step-by-step explanation:
2) Elena already walked 12 miles, she then walks another 1/4 of those 12 miles. The answer is A.
3) Shawn is looking for a good book, he reads 12 books and then decides to read 1/4 of the amount he already read. How many books has Shawn read in total?
4) to find the answers figure out how much they multiply one number by and multiply the other number by that amount. For example, the ratio 2:5 can be the same as 4:10 because you are multiplying the original ratio by 2 to get the new ratio.
5) The diameter of a circle is the length of one side to another. to find the length of the outer edge you need to find the circumference. To find the circumference of a circle you must use \(\pi\)*Diameter. To find the answer we must use 180/\(\pi\)D. Since pi can not be defined we will use 3.14 as a rough estimation. 3.14*12=37.68. 180/37.68=4.777070064. Since it doesn't make much sense to do .8 of a invitation then we must round down. The answer is 4.
The _____ method assumes that cost of goods sold and ending inventory each consist of a mixture of all the goods available for sale.
The weighted average cost method assumes that cost of goods sold and ending inventory each consist of a mixture of all the goods available for sale.
Under the weighted average cost method, the cost of each item in inventory is determined by dividing the total cost of goods available for sale by the total number of units available for sale. This results in a weighted average cost per unit, which is used to value both ending inventory and cost of goods sold.
This method is often used when inventory items are interchangeable and it is difficult to determine which specific items were sold. It is also useful in smoothing out fluctuations in the cost of inventory items over time.
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The equation of a curve is 9x² - xy + 4y² = 42 and the equation of a line is y= 1.5x + c, where c is a constant. (i) Find the range of values of c for which the line intersects the curve at two distinct points, leaving your answer in surd form. (ii) The line and the curve intersect at points A and B. Given that c = 1.5, find the coordinates of A and B. (iii) A and B are the two end points of a diameter of a circle. Determine if the point (0.5, 4) lies within the circle, on the circle or outside the circle.
Answer: (i) To find the range of values of c for which the line intersects the curve at two distinct points, we need to solve the system of equations:
9x² - xy + 4y² = 42 (equation of the curve)
y = 1.5x + c (equation of the line)
Substituting y in terms of x and c, we get:
9x² - x(1.5x + c) + 4(1.5x + c)² = 42
Simplifying and rearranging, we get:
(4.5c - 18)x² + (6c - 12)x + (4c² - 42) = 0
For the line to intersect the curve at two distinct points, the discriminant of this quadratic equation must be positive:
(6c - 12)² - 4(4.5c - 18)(4c² - 42) > 0
Simplifying and solving for c, we get:
-4.5c³ + 27c² - 94.5c + 99 < 0
Using numerical methods (such as a graphing calculator or a computer), we can find that the solution to this inequality is:
1.352 < c < 7.065
Therefore, the range of values of c for which the line intersects the curve at two distinct points is:
1.352 < c < 7.065
(ii) Given that c = 1.5, we need to solve the system of equations:
9x² - xy + 4y² = 42 (equation of the curve)
y = 1.5x + 1.5 (equation of the line)
Substituting y in terms of x and c, we get:
9x² - x(1.5x + 1.5) + 4(1.5x + 1.5)² = 42
Simplifying and solving for x, we get:
x = 2 or x = -1/3
Substituting x in the equation of the line, we get:
y = 4.5 or y = 0.5
Therefore, the coordinates of the two intersection points A and B are:
A: (2, 4.5)
B: (-1/3, 0.5)
(iii) To determine if the point (0.5, 4) lies within the circle, on the circle or outside the circle, we need to find the center and radius of the circle. Since A and B are the endpoints of a diameter, the center of the circle is the midpoint of AB:
x = (2 - 1/3)/2 = 5/6
y = (4.5 + 0.5)/2 = 2.5
Therefore, the center of the circle is (5/6, 2.5). To find the radius of the circle, we can use the distance formula:
r = sqrt((2 - 5/6)² + (4.5 - 2.5)²) = sqrt(5/9 + 4) = sqrt(41/9)
The equation of the circle is then:
(x - 5/6)² + (y - 2.5)² = 41/9
Substituting the coordinates of the point (0.5, 4), we get:
(0.5 - 5/6)² + (4 - 2.5)² = 41/9
Simplifying, we get:
1
Step-by-step explanation:
a fishing boat accidentally spills 15 barrels of diesel oil into the ocean. each barrel contains 42 gallons. if the oil film on the ocean is 2.5 x 102 nm thick, how much area in square meters will the oil slick cover? assume 1 gal
The area in square meters will the oil slick cover is 9.5×10⁶ m².
15 barrels of diesel spilt into the ocean, where each barrel contains 42 gallons. Thereby the total volume of the oil spilt by 15 barrels is calculated as follows:
The total volume of the oil spilt by 15 barrels = 15× 42 gallons.
=630 gallons
1 gallon = 3.78541 liters
Volume in L = 630 gallons × 3.78541 liters/ 1 gallon
= 2384.8083 L
1 L = 10⁻³ m³
2384.8083 L = 2384.8083 × 10⁻³ m³
= 2.3848083 m³
The area covered by the oil spill has to be determined, where the thickness of the oil spill is given to be 2.5×10² nm.
1 nm = 10⁻⁹ m
Thereby, 2.5×10² nm = 2.5×10²×10⁻⁹ m
= 2.5×10⁻⁷ m
Area (m²) = volume (m³)/thickness (m)
= 2.3848083 m³/ 2.5×10⁻⁷ m
= 0.95392×10⁷ m²
= 9.5×10⁶ m²
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The formula below is used to convert a temperature in degrees Celsius, C to a temperature in degrees Fahrenheit, F
F = 1.8C + 32
The high temperature in a mountain city was 15 C. What was the high temperature in degrees Fahrenheit?
Write a linear equation in point-slope form for the line that goes through (-1,3) and (1, -9).
A. y- 3 = -6(x+1)
B. y+1=-6(x-3)
C. y-3= 6(x+1)
D. y + 1 = 2(x-3)
The correct answer is A. y - 3 = -6(x + 1) of the linear equation in point-slope form for the line that goes through (-1,3) and (1, -9).
To write the linear equation in point-slope form, we need to use the formula:
\(y - y_1 = m(x - x_1),\)
where \((x_1, y_1)\) represents one of the given points, and m represents the slope of the line.
Step 1: Find the slope (m):
\(m = \frac {(y_2 - y_1) }{(x_2 - x_1)}\\= \frac {(-9 - 3)} { (1 - (-1))}\=\frac {-12 } {2}= -6.\)
Step 2: Choose one of the given points (-1, 3), and substitute its coordinates into the point-slope form:
\(y - 3 = -6(x - (-1)).\)
Step 3: Simplify and rearrange the equation:
\(y - 3 = -6(x + 1)\\y - 3 = -6x - 6.\)
Therefore, the correct equation is A. y - 3 = -6(x + 1).
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What is an equation of the line that passes through the points (8, -5)(8,−5) and (8, -2)(8,−2)?
Answer:
This is undefined because the slope is 3/0, and you can't divide by 0