In solving a system of equations, we look for a point where the two lines intersect. The point of intersection will be a point that is a solution to both equations in the system. We can solve a system of equations by several methods, but one of the most common methods is using substitution or elimination.
To solve a system of equations using substitution, we have to solve one of the equations for one of the variables, and then substitute the result into the other equation. This process eliminates one variable and makes the system easier to solve. Therefore, the best choice that describes a possible first step in solving the system of equations is to solve for y in the second equation. Here is the step-by-step solution:2x - 7y = -14-2x + y = -10Solve for y in the second equation.-2x + y = -10y = 2x - 10Now substitute 2x - 10 for y in the first equation.2x - 7(2x - 10) = -14Simplify:2x - 14x + 70 = -14-12x + 70 = -14-12x = -14 - 70-12x = -84x = -84/-12x = 7Substitute x = 7 into either equation. Let's use the second equation.-2(7) + y = -10-14 + y = -10y = -10 + 14y = 4Therefore, the solution to the system of equations is (x, y) = (7, 4).
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describe what a plot of vs. n would look like, with no predators. at what values does the curve intercept the and/or n axes?
The curve depicts the relationship between population growth rate and size, and it demonstrates how the rate of population increase decreases as the population gets closer to its carrying capacity.
A sigmoidal (S-shaped) curve would appear on a plot of dN/Ndt vs. N in the absence of predators. The curve would begin steeply, grow gradually until it reached its maximum, then level out once more as it got closer to the asymptote.
The curve's intersection with the dN/Ndt axis would be at zero. This is due to the fact that in the absence of predators, the rate of change in population size over time (dN/dt) is zero because no factor influences the population's growth or decline.
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Which of these expressions is equivalent to 30b2?
A 3b + 10b
B 3b. 10b
c9b +21b
D 9b21b
Answer:
B) 3b. 10b
Step-by-step explanation:
B) 3b. 10b = (3x10)(bxb) = 30b²
explain how the is related to the standard error of the estimated difference in average birth weight for smoking and nonsmoking mothers.
Nearly half of the newborns among nonsmokers (56 out of 115, 48.7%) have birth weights between 3,000 and 4,000 grammes. 40 of 74, or 54%, of the infants born to smokers have birth weights between 2,000 and 3,000 grammes, with fewer infants in the larger weight groups.
What is birth weight?
The body weight of a newborn is referred to as birth weight. Infants of European descent typically weigh between 2.5 and 4.5 kilogrammes at birth, with an average of 3.5 kilograms. South Asian and Chinese babies weigh about 3.26 kilogrammes on average.
Babies born to nonsmokers typically weighed between 1,000 and 5,000 grammes. Babies born to smokers often ranged in weight from 500 to 4500 grammes.
However, we also notice some significant variations between the two groups' normal ranges of birth weights. With fewer infants in the lower weight ranges, nearly half of the newborns among nonsmokers (56 out of 115, 48.7%) have birth weights between 3,000 and 4,000 grammes. 40 of 74, or 54%, of the infants born to smokers have birth weights between 2,000 and 3,000 grammes, with fewer infants in the larger weight groups.
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95 is what percent of 20 ?
Answer:
475%
Step-by-step explanation:
95/20 × 100
hope it helps
If the answer is 19
u need to reciprocate it
20/95 × 100
u will get ur answer how the Question language is wrong as per the answer
Answer:
Step-by-step explanation:
let be the x%
according to the question ur equation is
95=x/100*20
95*100=20x
9500/20=x
475=x
HELP ASAP 40 POINTS What is an equation for the linear function whose graph contains the point (9, 7) and a slope of 3?
Enter your answers in the boxes.
y−_ = _(x−9)
Answer:
y - 7 = 3 ( x - 9 )
Develop a full regression model based on all the predictor variables indicated. Choose the right model equation below
A. Assessed Value = 246.42+43.94*(Size) + 15.69*(Fireplace Coded)+8.25*(Bedrooms) B. Asking Price = 246.42+43.94*(Size) + 15.69*(Fireplace Coded)+8.25*(Bedrooms)
C. Assessed Value = 246.42+43.94*(Size) + 15.69*(Fireplace Coded)+0.9677*(Bathrooms) D. Assessed Value = 244.4325 + 43.5532*(Size)+ 8.1910*(Bedrooms)+ 0.9677*(Bathrooms)
Q2. A review of the t-test on the significance of individual independent variable suggests that, based on the p-values
A. Only one of the independent variable possibly needs to be retained B. Two of the independent variables possibly needs to be retained C. None of the independent variables could be retained D. Three of the independent variables could be retained
Q3:
Choose the right option below. Based on the full regression model involving all of the independent variables
A. VIF for Size = 2.336, VIF for Fireplace = 1.121, VIF for bedrooms = 1.979
B. VIF for Size = 5.3352, VIF for Fireplace = 10.1873, VIF for bedrooms = 2.7885
C. VIF for Fireplace = 1.1873, VIF for bedrooms = 1.9885
D. None of the above
Q4: Based on VIF values, there is concern for collinearity in this dataset
A. True B. False
Q5:
Based on the normal probability plot, the normality assumption seems to be met
A. True
B. False
Q:7: Based on conducting residual analysis the model seems
Group of answer choices
Adequate
Inadequate
Violates Independence Assumption
Not enough information to assess the LINE assumptions
Q.2: A review of the t-test on the significance of individual independent variable suggests that, based on the p-values. None of the independent variables could be retained. This is because if the p-value is high, it means the significance is low.
Q3: Choose the right option below. Based on the full regression model involving all of the independent variables. VIF for Size = 5.3352, VIF for Fireplace = 10.1873, VIF for bedrooms = 2.7885.
Q.4: Based on VIF values, there is concern for collinearity in this dataset. True
Q5: Based on the normal probability plot, the normality assumption seems to be met. True
Q7: Based on conducting residual analysis the model seems. Adequate.
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(question 2) will mark brainliest and 30 points
Answer:
4
Step-by-step explanation:
4x + 15 = x - 3
4x - x = 3 - 15
3x = 12
x = 12 : 3
x = 4
O GRAPHS AND FUNCTIONSGraphing a function of the form f(x) = ax + b: Integer slopeGraph the function g(x)=-3x-1.ywww.6-4-Хv5
this is:
x g(x)
-3 8
-2 5
-1 2
0 -1
1 -4
2 -7
3 -10
then this value we locate them in the graph, each ordered pair
\(\begin{gathered} \text{if x = -1} \\ g(-1)=-3(-1)-1 \\ g(-1)=3-1 \\ g(-1)=2 \end{gathered}\)then we have the coordinate (-1, 2) and place it on the Cartesian plane
\(\begin{gathered} \text{if x=0} \\ g(0)=-3(0)-1 \\ g(0)=-1 \end{gathered}\)we have the coordinate (0, -1)
\(\begin{gathered} \text{if x = 1} \\ g(1)=-3(1)-1 \\ g(1)=-3-1 \\ g(1)=-4 \end{gathered}\)we have the coordinate (1, -4)
A production hole has fully penetrated a below bubble point oil zone and it has 15% H2S. It is a deep water unconsolidated oil reservoir of two Darcy permeability. It would be produced via a subsea single completion. Produce a fish-bone map and elaborate the processes to be involved in the construction/completion of the well and and its system to produce the hydrocarbon. It also should include the use of its H2S to produce elemental sulphur. Also explain the challenges facing the O&G company in releasing to production for such a well.
The construction and completion of a deep water unconsolidated oil reservoir with 15% H₂S content require careful planning and execution. This subsea single-completion well would involve processes such as drilling, casing, perforation, installation of downhole equipment, and surface facilities.
The H₂S can be utilized to produce elemental sulfur. However, challenges may arise due to the presence of H₂S, deep water conditions, and the unconsolidated nature of the reservoir. The construction and completion of a well in a deep water unconsolidated oil reservoir with 15% H₂S content would involve several processes. Firstly, the drilling operation would be carried out using specialized equipment suitable for deep water conditions. The casing would then be run and cemented to provide structural integrity and isolate the reservoir zone. Perforation would be performed to create channels for hydrocarbon flow. Downhole equipment, such as tubing, packers, and safety valves, would be installed to facilitate production. Surface facilities, including subsea production trees, flowlines, and risers, would be deployed to connect the well to the production infrastructure.
The H₂S content in the reservoir offers the opportunity to produce elemental sulfur. The H₂S gas can be separated from the produced hydrocarbon and processed through a Claus unit to convert it into elemental sulfur. This can provide an additional revenue stream for the O&G company.
However, there are several challenges to consider. The presence of H₂S requires strict safety measures and equipment designed for sour service to ensure the protection of personnel and equipment integrity. Deep water conditions pose logistical and technical difficulties, requiring specialized equipment and expertise. The unconsolidated nature of the reservoir can lead to sand production, which must be managed through sand control techniques to prevent equipment damage and maintain good productivity.
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To construct and complete a well in a deepwater unconsolidated oil reservoir with 15% H₂S content, several processes need to be involved. These include drilling the production hole, installing a subsea single completion system, and implementing a process to produce hydrocarbons while utilizing the H₂S to produce elemental sulfur. However, there are challenges that the O&G company may face in releasing the well to production.
The construction and completion of the well in a deepwater unconsolidated oil reservoir with 15% H₂S content would involve several processes. Firstly, the drilling of the production hole would be carried out, ensuring that it fully penetrates the below bubble point oil zone. The drilling process needs to consider the presence of H₂S and take appropriate safety measures. To produce hydrocarbons and utilize the H₂S, a suitable production process would be implemented. This could involve separating the H₂S from the produced fluids and treating it to produce elemental sulfur. The separated hydrocarbons would then be processed further for and refining.
However, there are challenges that the O&G company may face in releasing the well to production. Some of these challenges include:
Safety: Handling H₂S requires strict safety protocols and equipment to protect workers and the environment. Adequate safety measures need to be in place to prevent accidents and ensure compliance with regulations.Corrosion: H₂S is highly corrosive, which can pose challenges for the integrity of the well and associated equipment. Appropriate materials and corrosion-resistant coatings need to be selected to mitigate the risk of corrosion.Environmental Impact: The release of H₂S into the atmosphere can have environmental consequences. Proper containment, treatment, and disposal methods need to be implemented to minimize the impact on the environment.Operational Efficiency: Unconsolidated reservoirs present challenges in terms of sand production and well stability. Techniques such as sand control measures and artificial lift systems may be required to optimize production and maintain operational efficiency.To learn more about unconsolidated refer:
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Write the equation in slope-intercept from the two points given: (4,2) and (0,-5)
Explain. (step by step)
\((\stackrel{x_1}{4}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{0}~,~\stackrel{y_2}{-5}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-5}-\stackrel{y1}{2}}}{\underset{run} {\underset{x_2}{0}-\underset{x_1}{4}}}\implies \cfrac{-7}{-4}\implies \cfrac{7}{4}\)
\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{2}=\stackrel{m}{\cfrac{7}{4}}(x-\stackrel{x_1}{4}) \\\\\\ y-2=\cfrac{7}{4}x-7\implies y=\cfrac{7}{4}x-5\)
If 60 cases range in score from 4 to 84 and you want 10 intervals in a frequency distribution, approximately what will be the width of each interval
Create a frequency distribution with 10 intervals for 60 cases that range in score from 4 to 84, each interval will have an approximate width of 8 units.
To determine the width of each interval in a frequency distribution, we need to calculate the range of the data and divide it by the desired number of intervals.
Given that the scores range from 4 to 84, the range of the data is 84 - 4 = 80 units.
To distribute these 80 units into 10 intervals, we divide the range by the number of intervals:
Interval width = Range / Number of Intervals
Interval width = 80 / 10 = 8 units
Therefore, each interval in the frequency distribution will have an approximate width of 8 units.
In practice, it's important to note that the width of intervals can be adjusted slightly depending on the specific requirements or characteristics of the data. It's also worth considering whether the interval width provides an appropriate level of detail and captures the variation in the data effectively.
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−7 − 3a = 17, then \frac{3}{4}a = ____?
Answer:
-9/2
Step-by-step explanation:
-7-3a=17
-1-17=3a
-18=3a
a=-18/3
a=-6
The value of fac{3}{4} a = (3/4)(-6)
= -18/4
= -9/2
Andrea loaned $5 to each of 20 people. She recorded each loan by writing -$5 in her bank book. What is the total amount of money Andrea has written in her bank book after the loans?
Answer: -$100
Step-by-step explanation:
We know that Andrea loaned $5 to each of the 20 people.
So 5 times 20 = -$100
i need help on this geometry problem please
Answer:
60\(\sqrt{2}\)
Step-by-step explanation:
sin x = opposite side / hypotenuse
sin 45 = 60 / y
y = 60 / sin 45 =60 / (1 / sqrt(2))
= 60 \(\sqrt{2}\)
Evaluate: Question(2): Z+8-6(z-2a)+5z
Answer:
Z+12a−z+8+12−+8
Step-by-step explanation:
Z+8−6(z−2a)+5z
+8−6(−2)+5
Z+8−6(−2a+z)+5z
+8−6(−2+)+5
Z+8−6(−2a+z)+5z
+8−6(−2+)+5
Z+8+12a−z+8+12−
Answer:
Z + 8 + 12a − z
12a + 8
Step-by-step explanation:
7g - 6 = -20 what is the answer
7g - 6 = -20
Add 6 to both sides
7g = -14
Divide both sides by 7
g = -2
answer: g = -2
Answer:
-2
Step-by-step explanation:
7 negative 2's equals negative 14, minus 6 equals negative 20.
Find the perimeter of parallelogram AFCB.
A. 14
B. 12
C. 28
D. 24
Answer:
C.28
Step-by-step explanation:
It gives you 2 sides.
One of them is 8.
The other one is 12 but the 12 is divided by 2 which is 6.
Since it is a parallelogram there is the same measurements on the opposite sides.
So finally you get 6+6+8+8= 28
The perimeter of parallelogram AFCB is C. 28
How do you calculate a perimeter?
With the purpose to discover the perimeter or distance around the rectangle, we want to add up all four side lengths. this can be performed efficiently by using truly including the duration and the width, after which multiplying this sum by means of when you consider that there are of every facet length.
What is perimeter for instance?The Perimeter is the gap around the item. for instance, your own home has a fenced backyard. the perimeter is the length of the fence. If the yard is 50 toes × 50 feet your fence is 2 hundred feet long.
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8. Syairra needs to take an Uber to get to
the airport. The Uber charges $5.00 for
the first mile, and then $3.00 for each mile
after that. If the total charge is $62.00,
then how far was Syairra's taxi ride to the
airport?
Answer: 20 miles
Step-by-step explanation:
Since the Uber charges $5.00 for the first mile you have to subtract that from the total which is 62.
62.00 - 5.00 = 57.00
Then you keep subtracting 3.00 from 57.00 or you can divide 57 by 3 because 57 is how much money is left and the Uber charges 3 dollars for each mile after the first.
57.00 divided by 3.00 is 19
Then add 1 to 19 which equals 20 miles. You add 1 to 19 because 19 is the amount of miles she goes but that doesn’t include the 1st mile.
Sorry if this is confusing
Amanda made a scale drawing of a square garden, which has a side length of 25 feet. She used the scale 2 inches = 5 feet. What will be the area of the scale drawing? O 10 in² O 25 in² O 100 in2 O 484 in²
The area of the square garden is 100 in². Option C is the correct option.
What is the area of an object?
The total space occupied by a flat (2-D) surface or the shape of an object is defined as its area. Draw a square on a piece of paper with a pencil. It is a two-dimensional figure. The area of the shape on the paper is referred to as its Area. Consider your square to be made up of smaller unit squares.
Given that the scale of the drawing is 2 inches = 5 feet.
The length of the garden is 25 feet.
Now find the side of the garden in inches by using the scale factor.
5 feet = 2 inches
1 feet = 2/5 inches
25 feet = (2/5) × 25 inches
25 feet = 10 inches
In the map, the length of the side of the garden is 10 inches.
The area of a square is side × side.
The area of the garden is 10×10 in² = 100 in²
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the gallup poll has decided to increase the size of its random sample of canadian voters from about 1500 people to about 4000 people right before an election. the effect of this increase is to
The effect of increasing the random sample size of Canadian voters in the Gallup poll from 1,500 to 4,000 people is to reduce the margin of error and increase the accuracy of the poll results.
By increasing the sample size, the Gallup poll is able to gather more data points from a diverse group of voters, which improves the representativeness of the sample.
This helps to minimize biases and better capture the opinions of the population as a whole. In turn, the increased sample size leads to a lower margin of error, meaning that the poll results are more likely to accurately represent the true opinions of Canadian voters.
This is particularly important right before an election, as accurate poll results can inform strategies for political parties and provide insights for voters. Ultimately, increasing the sample size of the random sample in the Gallup poll enhances its reliability and validity, making it a more valuable tool in understanding voter sentiment.
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What is the domain of the function?
O x>-2
O x > 0
O x < 2
all real numbers
Answer: x > -2, which is choice A
Notice that there's a vertical asymptote at x = -2. Think of it like an electric fence. You can get closer to it, but you can't touch it.
The domain is the set of all allowed inputs of a function.
What is the volume of the solid? Let π=3.14
Answer:
V = 7234.56 km^3
Step-by-step explanation:
The volume of a sphere is given by
V = 4/3 pi r^3
V = 4/3 (3.14) (12)^3
V = 7234.56 km^3
Answer:
7234, 56 km³
Step-by-step explanation:
π×R³×4/3=3.14×1728×4/3=7234, 56 km³
A food truck did a daily survey of customers to find their food preferences. The data is partially entered in the frequency table. Complete the table to analyze the data and answer the questions: Likes hamburgers Does not like hamburgers Total Likes burritos 49 92 Does not like burritos 75 38 Total 81 205
30.6% of survey respondents do not like both hamburgers and burritos, with the strongest association being that customers who like hamburgers are more likely to not like burritos.
Part A: The number of survey respondents that do not like hamburgers is 205 - 81 = 124.
Of these 124 respondents, 38 do not like burritos as well, so the percentage of respondents that do not like both hamburgers and burritos is 38 / 124 * 100% = 30.6%.
Part B: The marginal relative frequency of all customers who like hamburgers is 81 / (81 + 205) = 28.2%.
Part C: The conditional relative frequency of customers that like burritos given they like hamburgers is 49 / 81 = 60.5%.
The conditional relative frequency of customers that do not like burritos given they like hamburgers is 32 / 81 = 39.5%.
The conditional relative frequency of customers that like hamburgers given they like burritos is 49 / 141 = 34.8%.
The conditional relative frequency of customers that do not like hamburgers given they like burritos are 92 / 141 = 65.2%.
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I NEED HELP WITH MY HOMEWORK
Chester made 9 sales and Vickie made 16 sales this week
Base salary of Vickie = $70
Vickie's commission per sale = $24
Base salary of Chester = $142
Chester's commission per sale = $9
Both people earned the same amount this week. Let x represent the number of sales made by Vickie, then sales made by Chester is x+7
Formulating the equation we get:
Base salary of Vickie + Vickie's commission per sale*Number of sales = Base salary of Chester + Chester's commission per sale*Number of sales
= 70 + 24x = 142 + 9(x+7)
70+24x = 142+9x+63
70+24x = 205+9x
15x = 135
x = 9
Chester sales = 9
Vickies sales = 9+7 = 16
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Find the value of z.
Solve for N
A 24
B 54
C 42
D 94.5
Answer:
54 0r 42 I think
Step-by-step explanation:
Answer:
B, 54
Step-by-step explanation:
if we put this as ratios, the equation will look like this.
m/45=46/30-->we can solve it easily after this
30m=1620
m=54
GEOEMTRY- PLEASE HELP , solve for x
Answer:
\(17x-23=1/2\times81\)
\(17x-23=40.5\)
\(17x=40.5+23\)
\(17x=63.5\)
\(x=63.5/17\)
\(x=3.73\)
OAmalOHopeO
What is the area of δabc? round to the nearest tenth of a square unit. 3.9 square units 8.4 square units 11.8 square units 17.7 square units
The triangle ABC has a surface area of 17.7 square units. Rounding to the nearest tenth of a square unit,
Heron's Formula can be used to calculate the triangle ABC's area. The equation reads as follows:
A = √[s(s-a)(s-b)(s-c)]
Where s is one-half of the triangle's circumference and a, b, and c are its three sides.
By summing the triangle's sides, we can determine the perimeter:
P = a + b + c
The formula below is used to get the other half of the perimeter.
s = P/2
For the triangle ABC, we have the sides a=3, b=5, and c=4.
Therefore, half of the perimeter is s = 8.
Now, Heron's formula can be used to determine the triangle ABC's surface area:
A = √[s(s-a)(s-b)(s-c)]
= √[8(8-3)(8-5)(8-4)]
= √[8(5)(3)(4)]
= 17.7 square units
Therefore, the triangle ABC has a surface area of 17.7 square units, Rounding to the nearest tenth of a square unit.
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what is the maximum of the sinusoidal function? enter your answer in the box.
Answer:
Step-by-step explanation:
B
Write the compound inequality: " A number n is less than or equal to -7 or greater than 12
Let the number be n, then -1<3n+5<38 or -1≤3n+5≤38 depending on what is meant by “between”. We’ll assume the former.
-1<3n+5<38, subtract 5 throughout: -6<3n<33, divide through by 3: -2<n<11, shows the number to be in the range (-2,11) or possibly [-2,11].