How do you know (2, 1) is a solution to 4x+y=9?
Select all that apply.
1.[] The coordinate lies on the line
2.[] When substituting x=2 and y=1 into the equation, you get a true statement .
3.[] (2,1) is a positive and so is all the numbers in the equation
4.[] 9-4=5 and 2(2)+1=5
Answers
Answer:
2. When substituting x=2 and y=1 into the equation, you get a true statement.
Hope this helps you.
Related Questions
Jerry eats 3 pickles in 2 minutes. How many pickles will he eat in 10 minutes?
Terrance makes 8 free-throws out of 40. What percent of the free-throws did Terrance make?
Lamont picks 12 boogers in 5 minutes. If he picks his nose for 20 minutes, how many boogers will he get?
Reevis answers 18 math questions correct and scored a 75%. How many total questions are on the quiz?
DO
Aj fights 16 clowns in the streets in 12 minutes. How many will he have fought after 18 minutes?
Answers
2) Terrance made 20% of his free-throws.
3) Lamont will get 48 boogers in 20 minutes.
4) There are 24 total questions on the quiz.
5) Aj will have fought 24 clowns after 18 minutes.
Answer:
Jerry will eat 15 pickles in 10 minTerrance made 20% of his free throwsLamont will get 48 boogers in 20 minutesthere are 24 questions on the quizAn will have fought 24 clowns after 18 minutes Hope this helps youMark my answer as brainalist pleaseIn a bag of gum balls, 30% of the gum balls are blue. There are 12 blue gum balls in the bag. How many total gum balls are in the bag?
Answers
Answer:
64
Step-by-step explanation:
Answer:
40
Step-by-step explanation:
Since 30% of the bag is blue, you can setup the equation, \(\frac{3}{10}x=12\) where x is the total number of gumballs in the bag because that is what you are looking for. Simplify and you get \(x=40\). Checking this you get \(12=12\) which is true.
To study the effect of mindfulness meditation on mental health, an experimental investigation was done by comparing serum cortisol (as an indicator of stress level) between 2 groups of medical students who volunteered to participate in the study. Group 1 took a 4- day meditation program, while Group 2 did not. Volunteers from both groups then had a blood test and their serum cortisol was measured in nmol/L. Results were as follows: Group 1: 267 245 263 316 246 282 379 300 291 306 425 190 346 150 344 Group 2 470 222 443 506 455 518 360 408 375 246 189 368 Do the results support the hypothesis that meditation helps reduce stress level, with 95% confidence? You must properly identify and follow all the necessary steps for this investigation (Hint: for comparing variances, you can use 98% confidence.)
Answers
The results of the study suggest that the 4-day meditation program had a significant effect in reducing the stress levels of the medical students compared to the group that did not participate in the meditation program.
To determine if the results support the hypothesis that meditation helps reduce stress levels, we need to perform the necessary statistical analysis. Here are the steps involved:
Step 1: Define the hypothesis:
The null hypothesis (H₀) is that there is no significant difference in stress levels between the two groups.
The alternative hypothesis (Hₐ) is that there is a significant difference in stress levels between the two groups, with meditation reducing stress.
Step 2: Identify the appropriate statistical test:
Since we are comparing the means of two independent groups and want to test if there is a significant difference, we can use an independent samples t-test.
Step 3: Set the significance level:
The significance level (α) is the probability of rejecting the null hypothesis when it is true. In this case, we will use a significance level of 0.05, corresponding to a 95% confidence level.
Step 4: Calculate the sample statistics:
Calculate the means, standard deviations, and sample sizes for both groups.
Group 1:
Mean (x1) = (267 + 245 + 263 + 316 + 246 + 282 + 379 + 300 + 291 + 306 + 425 + 190 + 346 + 150 + 344) / 15 = 290.2
Standard deviation (s1) = 70.764
Sample size (n1) = 15
Group 2:
Mean (x2) = (470 + 222 + 443 + 506 + 455 + 518 + 360 + 408 + 375 + 246 + 189 + 368) / 12 = 377.5
Standard deviation (s2) = 109.057
Sample size (n2) = 12
Step 5: Conduct the statistical test:
We can now perform an independent samples t-test using the sample statistics.
Step 5a: Test for equal variances:
Before conducting the t-test, we need to check if the variances of the two groups are equal. We can use a F-test to compare the variances.
Null hypothesis (H₀): The variances of the two groups are equal.
Alternative hypothesis (Hₐ): The variances of the two groups are not equal.
Using a significance level of 0.02 (98% confidence), we can calculate the F-statistic and compare it to the critical F-value from the F-distribution table.
F = s1² / s2² = 70.764² / 109.057² = 0.428 (approximately)
The critical F-value for a 98% confidence level with (n1-1) = 14 and (n2-1) = 11 degrees of freedom is 3.72.
Since our calculated F-value is smaller than the critical F-value, we fail to reject the null hypothesis. Thus, we can assume equal variances.
Step 5b: Conduct the t-test:
Since the variances are assumed to be equal, we can perform the independent samples t-test using the sample means and pooled standard deviation.
Pooled standard deviation (sp) = √(((n1 - 1) × s1² + (n2 - 1) × s2²) / (n1 + n2 - 2)) = √(((15 - 1) × 70.764² + (12 - 1) × 109.057²) / (15 + 12 - 2)) = 90.362
t = (x1 - x2) / (sp × √(1/n1 + 1/n2)) = (290.2 - 377.5) / (90.362 × √(1/15 + 1/12)) = -2.227
Degrees of freedom (df) = n1 + n2 - 2 = 15 + 12 - 2 = 25
Using the t-distribution table or a statistical software, we can find the critical t-value for a two-tailed test at a significance level of 0.05 with 25 degrees of freedom. The critical t-value is approximately ±2.060.
Since our calculated t-value (-2.227) is smaller than the critical t-value (-2.060), we reject the null hypothesis and accept the alternative hypothesis. Therefore, there is evidence to support the claim that mindfulness meditation helps reduce stress levels, with a 95% confidence level.
In conclusion, the results of the study suggest that the 4-day meditation program had a significant effect in reducing the stress levels of the medical students compared to the group that did not participate in the meditation program.
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In 4 hours, a comet that is far from the sun usually travels 8,000 miles. How far will the comet travel in 10 hours?(1 point)
(blank) miles
Answer quickly please.
Worth 20 points
Answers
The distance covered by comet in 10 hours is 20,000 miles when comet was travelling at 8,000 miles in 4 hours.
In the above question, it is given that
A comet is travelling as follows
The distance covered by comet in 4 hours = 8000 miles
We need to find the distance covered by comet in 10 hours
To find that, first we'll calculate the distance covered by comet in 1 hour
The distance covered by comet in 1 hour = \(\frac{8000}{4}\) miles
Therefore, the distance covered by comet in 10 hours = \(\frac{8000 . 10 }{4}\) miles
= 20,000 miles
Hence, the distance covered by comet in 10 hours is 20,000 miles when comet was travelling at 8,000 miles in 4 hours.
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rotate point x (0,0)) 270 degrees clockwise about the origin then T<3,5>
Answers
here this probally will help
Answer:
5, 3
Step-by-step explanation:
Write a system of equations to represent each problem situation.4. Nancy and Warren are making large pots of chicken noodle soup. Nancy opens 4 largecans and 6 small cans of soup and pours them into her pot. Her pot contains 115 ounces ofsoup. Warren opens 3 large cans and 5 small cans of soup. His pot contains 91 ounces ofsoup. How many ounces of soup does each large can and each small can contain?
Answers
Let 'x' represents large cans
Let 'y' represents small cans.
Let us write the equation for Nancy's pots of soup,
\(4x+6y=115\)Let us write the equation for Warren's pot of soup,
\(3x+5y=91\)Let's combine the two equations together,
\(\begin{gathered} 4x+6y=115\ldots\ldots\text{.}.1 \\ 3x+5y=91\ldots\ldots\ldots2 \end{gathered}\)Using the elimination method of the simultaneous equation to resolve them and solve for x and y.
\(\begin{gathered} \text{From the equation, make the coefficient of x in the two equations the same } \\ by\text{ multiplying equation 1 by 3 and equation 2 by 4} \end{gathered}\)\(\begin{gathered} 4x+6y=115\ldots\ldots.1\times3 \\ 3x+5y=91\ldots\ldots\ldots2\times4 \\ \\ 12x+18y=345\ldots\ldots\text{.}.3 \\ 12x+20y=364\ldots\ldots\ldots4 \end{gathered}\)Now, let's subtract equation 3 from 4.
\(\begin{gathered} 20y-18y=364-345 \\ 2y=19 \\ y=\frac{19}{2}=9.5 \end{gathered}\)Let's solve for 'x' by substitu
3- if we know that a patient received the antidepressant (desipramine), what is the probability that they relapsed?
Answers
The probability that a patient will relapse after receiving desipramine depends on a variety of factors, such as dosage, duration of treatment, and pre-existing mental health conditions.
Generally speaking, it is estimated that around 50-70% of people who take desipramine as an antidepressant will experience relapse within six months of treatment cessation.
However, this rate can be decreased through longer treatment periods and/or higher doses of medication.
Additionally, patients may also benefit from lifestyle changes, such as increased physical activity, increased social engagement, and improved dietary habits.
Taking all of these factors into consideration, it is difficult to determine the exact probability of relapse in any given case.
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round the number to the indicated place
$13.59582 to cents
Answers
Using rounding concepts, the rounding of $13.59582 to cents is of $13.60.
How to round a number to the nearest cent?To round a number to the nearest cent, we have to look at the third decimal digit.
If it is less than 5, we keep the second digit as it is.If it is 5 or greater, we add one to the second digit.In this problem, the third digit is of 5, which means that one should be added to the second digit, since the sum results in 0 we add to the first digit, hence the rounding of $13.59582 to cents is of $13.60.
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Choose an angle measure A .
c. Use an identity to find cosA/2 .
Answers
cos A/2 is given by ± √(1+a/h)/2 where 'a' is the adjacent side to the angle A and 'h' is the hypothenuse of a right-angled triangle.
Given an angle A, we need to find cos A/2. We can use the formula for half angle, which is: cos A/2 = ± √(1+cos A)/2. Cosine of an angle is defined as the ratio of the adjacent side to the hypotenuse side of a right-angled triangle. It is denoted by the symbol 'cos'.
Thus, cos A = Adjacent side/Hypotenuse side. By the Pythagoras theorem, we have:
Hypotenuse^2 = (Adjacent side)^2 + (Opposite side)^2.
Hypotenuse =√[(Adjacent side)^2 + (Opposite side)^2)]
Therefore, cos A = Adjacent side/√[(Adjacent side)^2 + (Opposite side)^2]
Let's assume that the adjacent side is 'a' and the hypotenuse side is 'h'.
Then, cos A = a/h We need to find cos A/2. Using the identity, we get: cos A/2 = ± √(1+cos A)/2cos A/2 = ± √(1+a/h)/2. Hence, the required solution is: cos A/2 = ± √(1+a/h)/2.
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you find the monthly standard deviation of a stock is 3.10 percent. what is the annual standard deviation of the stock
Answers
The annual standard deviation of the stock is approximately 18.00 percent.
To see why, we can use the fact that the standard deviation scales with the square root of time. Since there are 12 months in a year, we can calculate the annual standard deviation as:
annual standard deviation = monthly standard deviation * sqrt(12)Substituting the given value for the monthly standard deviation, we get:
annual standard deviation = 3.10% * sqrt(12)Simplifying this expression using a calculator, we get:
annual standard deviation ≈ 18.00%Therefore, the annual standard deviation of the stock is approximately 18.00 percent.
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What are the additive inverse of 19 /- 6 and 2 3?
Answers
The additive inverse of 19 /- 6 is -19 /+ 6 and the additive inverse of 2 3 is -2 3.
Additive inverse is a mathematical term that refers to when two numbers are combined and their sum is equal to zero. To calculate the additive inverse of a fraction, you need to change the sign of the numerator and denominator. In the case of 19 /- 6, the -6 is already negative, so you just need to change the sign of the numerator from 19 to -19. Similarly, for 2 3, you need to change the sign of the numerator from 2 to -2. This would mean that the additive inverse of 19 /- 6 is -19 /+ 6 and the additive inverse of 2 3 is -2 3.
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Which expression is equal to 3x? (1 point)
x + 3
x + x + x
x + x2
2x + 1
Answers
Answer:
x + x + x
Step-by-step explanation:
x + 3 can't be combined as they are two different terms
x + x + x = 3x (works)
x + x² can't be combined as they have different exponents
2x + 1 can't be combined as they are two different terms
Solve: 4x^2 = 32 thanks
Answers
Answer:
D.Step-by-step explanation:
It is difficult to describe, but you just need to follow through the steps acorddingly.reflections practice
Answers
Answer:
what question do you want to answer?
Step-by-step explanation:
?
Dominick and Ryan both invest $6,500 into savings accounts that earn 6. 8% interest. If Dominicks account earns compound interest and Ryan's earns simple interest, how much more interest will Dominick have earned after 10 years?
Answers
Dominick has earned $6,465.55 - $4,420.00 = $2,045.55 more interest than Ryan after 10 years.
How to find the earned interest?To solve this problem, we can use the formulas for compound interest and simple interest.
Compound interest formula:
\(A = P(1 + r/n)^(^n^t^)\)
Where:
A = the amount after time t
P = the principal
r = the annual interest rate
n = the number of times the interest is compounded per year
t = time in years
Simple interest formula:
I = Prt
Where:
I = the interest earned
P = the principal
r = the annual interest rate
t = time in years
Using the compound interest formula for Dominick's account:
\(A = P(1 + r/n)^(^n^t^)\)
A = 6500(1 + 0.068/365)^(365*10)
A ≈ $12,965.55
Using the simple interest formula for Ryan's account:
I = Prt
I = 65000.06810
I = $4,420.00
Dominick's account has earned: $12,965.55 - $6,500 = $6,465.55 in interest.
Ryan's account has earned: $4,420.00 in interest.
Therefore, Dominick has earned $6,465.55 - $4,420.00 = $2,045.55 more interest than Ryan after 10 years.
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John scored an 84% on the last quiz. If there were 25 questions how many did he answer correctly?
Answers
Answer:
21
Step-by-step explanation:
84% of 25 is 21
The maximum score is 100%, 100÷25= 4, meaning each question was 4 points or 4% of the total grade 84÷4=21 .
Answer:
21 questions were correctly answered
Step-by-step explanation:
If one scores an 84% on a quiz, that means that as an expression out of 100, a person has gotten 84 correct. To find how much the 84% equates to, one must convert the percent to a decimal. This means that one must divide the 84 by 100. After doing so, multiply the result by the number of questions on the quiz. The value attained will be the number of questions answered correctly.
Convert percent to decimal:
84% / 100 = 0.84
Multiply by the number of questions to find the amount answered correctly:
25 * 0.84 = 21
I need help with a and b
Answers
Answer:
a. (c+h)(d) represents the cost of renting a car and a hotel room for d days.
(c+h)(d) = 96d+25
b. d = 5.99. d represents the number of days renting a car and a hotel room.
Step-by-step explanation:
a. (c+h)(d) = 22d+25+74d
= 96d+25
b. 600 = 96d+25
575=96d
d = 5.99
b. the approximate value is 6, and this represents six days stayed in a hotel, and six days for renting a car. however the number 6 is not completely accurate, as it returns a cost of 601$.
what is the difference between m∠A and ∠A?
thank you so much!!
Answers
Answer:
The measure of an angle is a numerical value. <A just refers to the angle itself.
Step-by-step explanation:
For each set of given information complete the missing information in the table
Answers
The missing information in the table is $290,000 for Firm 1 and $18,562,433 for Firm 2
The premium of a bond can be calculated by taking the coupon rate and subtracting the yield, and then multiplying the result by the face value of the bond.
For Firm 1, the premium is given by (7.00% - 8.00%) × $300,000 = -$10,000.
The proceeds of Firm 1 can then be calculated by
=> $300,000 – $10,000 = $290,000.
For Firm 2, the yield and coupon rate that is as interest are both given as 3.00%. This means that the bond will be sold at par value, so the face value and proceeds of the bond will be the same.
The face value of Firm 2 can be calculated by taking the proceeds given and dividing by the bond’s yield.
Thus, Firm 2’s face value is given by $556,853 / 3.00% = $18,562,433.
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Complete Question:
Complete the missing information in the table below. Assume that all bonds pay interest semiannually.
Do not use negative signs with answers.
Round percentages to one decimal place (ex. 0.0345 = 3.5%).
Round all other values to the nearest whole number.
Annual Years to Coupon Issue
Yield Maturity Rate Face value Proceeds
Firm 1 8.00% 15 7.00% $300,000 $_______
Firm 2 3.00% 10 0.00% $_______ $556,853
help me please ill choose brainliest if bestt
Answers
That is the only graph that has a data point significantly far away from the rest of the data, so that point is an outlier.
plz help like i need it-
Answers
Answer:
dont know if its a good answer but
Step-by-step explanation:
The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.
Interval Notation:
(
−
∞
,
∞
)
Set-Builder Notation:
{
x
|
x
∈
R
}
The range is the set of all valid
y
values. Use the graph to find the range.
Interval Notation:
(
−
∞
,
∞
)
Set-Builder Notation:
{
y
|
y
∈
R
}
Determine the domain and range.
Domain:
(
−
∞
,
∞
)
,
{
x
|
x
∈
R
}
Range:
(
−
∞
,
∞
)
,
{
y
|
y
∈
R
}
sorry if put wrongly
Answer:
Step-by-step explanation:
An art teacher recorded whether the students in three of her classes prefer water color or oil painting. She plans to
create a two-way table to analyze her results. Which describes the variables she can use in the first row and first
column to create her table?
painting preference and total number of students
painting preference and number of students in class 1
class number and painting preference
class number and number who prefer oil
Mark this and return
Save and Exit
Next
Submat
Answers
Hi there
Painting preference and total number of students.
For two way table we need to the data that will consider all the cases:
So, an art teacher should use the two variable painting preference and number of students as her first row and first column respectively.
Because these two things will consider both water color or oil painting under painting preference.
And all students of all three classes under number of students.
hope this help you
Answer:
A.painting preference and total number of students
Step-by-step explanation:
you are welcome !!
If S = 1/2, what number does 4s equal?
Answers
Step-by-step explanation:
If \(s=\frac{1}{2}\), then:
\(4s=4(\frac{1}{2})\\\\4s=\frac{4}{2}\\\\4s=2\)
The number 4S equals if S = 1/2 is 2, 4S = 2.
What is multiplication?One of the four fundamental mathematical operations, along with addition, subtraction, and division, is multiplication. Multiply in mathematics refers to the continual addition of sets of identical sizes.
Given:
S = 1 / 2
Calculate the value of 4S as shown below,
4 × S = 4 × 1 / 2
4S = 2
Thus, 4S = 2
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Find the slope of the line write your answer in simplest form
Answers
Answer:
-3/5
Step-by-step explanation:
(y2-y1)/(x2-x1)=Slope ((1)-(-2))/((-4)-(1)) or 3/-5
From the base price level of 100 in 1981, Saudi Arablan and U.S. price levels in 2010 stood at 240 and 100 , respectively. Assume the 1981$/rlyal exchange rate was $0.42 rlyal. Suggestion: Using the purchasing power parity, adjust the exchange rate to compensate for Inflation. That Is, determine the relative rate of Inflation between the United States and Saudi Arabia and multiply this times $/riyal of 0.42. What should the exchange rate be in 2010 ? (Do not round Intermedlate calculatlons. Round your answer to 2 decimal places.)
Answers
The exchange rate in 2010 should be $0.66/riyal. To determine the adjusted exchange rate in 2010 based on purchasing power parity, we need to calculate the relative rate of inflation between the United States and Saudi Arabia and multiply it by the 1981$/riyal exchange rate of $0.42.
The formula for calculating the relative rate of inflation is:
Relative Rate of Inflation = (Saudi Arabian Price Level / U.S. Price Level) - 1
Given that the Saudi Arabian price level in 2010 is 240 and the U.S. price level in 2010 is 100, we can calculate the relative rate of inflation as follows:
Relative Rate of Inflation = (240 / 100) - 1 = 1.4 - 1 = 0.4
Next, we multiply the relative rate of inflation by the 1981$/riyal exchange rate:
Adjusted Exchange Rate = 0.4 * $0.42 = $0.168
Finally, we add the adjusted exchange rate to the original exchange rate to obtain the exchange rate in 2010:
Exchange Rate in 2010 = $0.42 + $0.168 = $0.588
Rounding the exchange rate to 2 decimal places, we get $0.59/riyal.
Based on purchasing power parity and considering the relative rate of inflation between the United States and Saudi Arabia, the exchange rate in 2010 should be $0.66/riyal. This adjusted exchange rate accounts for the changes in price levels between the two countries over the period.
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use the holt's method with smoothing constants of 0.3 for alpha and 0.6 for gamma. find the equation of the forecast line and the mse for this method. if required, round your answers to two decimal places.
Answers
To use Holt's method with smoothing constants of 0.3 for alpha and 0.6 for gamma, we first need to calculate the initial values for the level and slope.
Let L0 be the initial level and B0 be the initial slope. We can estimate these using the following equations:
L0 = y1
B0 = y2 - y1
where y1 and y2 are the first two observed values in the time series.
Once we have the initial values, we can use the following recursive equations to calculate the level and slope at each time period t:
Lt = alpha * yt + (1 - alpha) * (Lt-1 + Bt-1)
Bt = gamma * (Lt - Lt-1) + (1 - gamma) * Bt-1
where yt is the observed value at time t.
Using these equations and the given smoothing constants, we can find the equation of the forecast line as:
Ft+1 = Lt + Bt
and the mean squared error (MSE) as:
MSE = (1 / n) * sum((yt - Ft)^2)
where n is the number of observed values.
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Scientists are growing bacteria in a culture. At the beginning of each day, the scientists use a microscope to count the number of bacteria present. On day 1, there are 18 bacteria present. Based on their counts, they determine that the number of bacteria increase at a rate of 20% per day. During which day will the daily count first exceed 100 bacteria?
Answers
Answer:
It's 11
Step-by-step explanation:
i took the test
Answer: 11
Step-by-step explanation: I took the test on edge 2020
please help asap!
thanks
Answers
Answer:
Option B
Step-by-step explanation:
By applying Pythagoras theorem in the given right triangle,
(Hypotenuse)² = (leg 1)² + (leg 2)²
Now substitute the measures of each side in the formula,
(13)² = x² + (12)²
169 = x² + 144
x² = 169 - 144
x² = 25
x = √25
x = 5
Therefore, Option B will be the correct option.
Josiah plants vegetable seeds in rows. Each row has the same number of seeds in it. He plants more than one row of seeds. What could be the total number of seeds he plants?
Answers
The total number of seeds that Josiah would plant would be = nR×S
How to determine the total number of seeds that Josiah will plant?To determine the total number of seeds that Josiah will plant will be to add the seeds in the total number of rooms he planted.
Let each row be represented as = nR
Where n represents the number of rows planted by him.
Let the seed be represented as = S
The total number of seeds he planted = nR×S
Therefore, the total number of seeds that was planted Josiah would be = nR×S.
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If the jumping price is $18. 50 per hour and the fee for socks is $3. 25 , what is the total cost, in dollars, for the 5 friends to jump for one hour?.
Answers
Answer:
let x = total cost
SOLUTION:x = 5(18.5 + 3.25)
x = 5(21.75)
x = $108.75
CHECKING:
108.75 = 5(18.5) + 5(3.25)
108.75 = 92.5 + 16.25
108.75 = 108.75
Therefore, the total cost will be $108.75.
Step-by-step explanation:
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