The supplementary angle means the sum of angles will be 180°. Hence the supplementary angle (or supplement) to a 55º angle is 125°.
What is a linear pair?When adding two or more angles, the result is 180°, and such pairs of angles are called linear pairs. The word 'linear' means 'straight', and 180° is also referred to as a straight angle. That is why a linear pair is always 180°.
Given angle is 55°.
To find the supplementary angle or supplement of 55º we must subtract 55º from 180°.
That is Supplement = 180 - 55 = 125°.
This is because supplementary angle means sum of two angles results in 180°.
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the temperature is 6 degrees below zero
Answer:
That's must be really cold!
Answer:
dang where do you live. its like 60 here
Step-by-step explanation:
If f ( x ) = 3 x² + 4, solve for x when f(x)=31
Step-by-step explanation:
3x²+4=31
3x²=31-4
3x²=27
x²=27÷3
x²=9
x=±3
Answer:
I hope you got it. I tried my best to give answer
How many real roots does the following equation have?
x4 -81 = 0
Answer:
Find roots of x4−81=0 by solving for x. x=3,−3
Step-by-step explanation:
The given equation \(x^4\) - 81 = 0 has a total of two real roots x = 3 and
x = -3.
We have,
The given equation \(x^4\) - 81 = 0 can be factored as a difference of squares:
\((x^2)^2 - 9^2 = 0\\(x^2 - 9)(x^2 + 9) = 0\)
Further simplifying:
(x - 3)(x + 3)(x² + 9) = 0
From this factorization, the equation has two linear factors (x - 3) and
(x + 3) and one quadratic factor (x² + 9).
The linear factors, (x - 3) and (x + 3), will each provide one real root since they are linear equations.
x = 3 and x = -3.
The quadratic factor (x² + 9) has no real roots.
This is because the discriminant (b² - 4ac) of the quadratic equation is negative (a = 1, b = 0, c = 9), indicating that there are no real solutions.
Therefore,
The given equation \(x^4\) - 81 = 0 has a total of two real roots,
x = 3 and x = -3.
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< A and < B are complementary angles.
< A = 3 x - 2 and < B = 2 x + 12
Find the measure of < A :
Answer: The measure of Angle A is 46 degrees.
Step-by-step explanation:
Complementary angles are angles that when both added together are equal to 90 degrees. So the measure of angle A plus the measure of angle B is equal to 90 or 3x - 2 + 2x + 12 = 90. Add like terms so you get 5x + 10 = 90. Subtract 10 on both sides you get 5x = 80. Divide by 5 on both sides and you get x = 16. To find the measure of angle A, plug in your x value. So M<A = 3(16) - 2. Ange A is equal to 46. I double checked my answer too and plugged my x value into M<B and got 44. So indeed 44 + 46 = 90.
Plz help me with this
9514 1404 393
Answer:
D
Step-by-step explanation:
y is the cost of the ring.
x is the weight of the gemstone.
When x=0, there is no gemstone. The y-value for x=0 is the y-intercept. It is ...
the cost of the ring with no gemstone
Answer:
the answer is D.
Step-by-step explanation:
:))))))
Find the surface area?
Answer:
8 + 4 = 12
12 x 3 = 36
36 divided by 2 = 18
18 x 2 = 36
9 x 3.7 = 33.3
33.3 x 2 = 66.6
9 x 8 = 72
4 x 9 = 36
Now lets add all given areas:
36 + 66.6 + 72 + 36 = 210.6 cm2 is your answer.
A projectile is fired straight up from ground level with an initial velocity of 112ft/s. It’s height, h, above the ground after t seconds is given by h=-16t2+112t. What is the interval of time during which the projectile’s height exceeds 192 feet?
Answer:
t = 3 s and t = 4 s
Step-by-step explanation:
Given that,
A projectile is fired straight up from ground level with an initial velocity of 112ft/s. Its height as a function of time t is given by :
\(h=-16t^2+112t\)
We need to find the interval of time during which the projectile’s height exceeds 192 feet. It means put h = 192 feet
So,
\(-16t^2+112t=192\\\\-16t^2+112t-192=0\)
The above is a quadratic equation, it can be solved using middle term splitting as follow :
\(16 (t^2 - 7t + 12) = 0\\\\16 (t - 4)(t - 3) = 0\\\\t=4\ s\ \text{and}\ t=3\ s\)
Hence, at t = 3 s and t = 4 s, the projectile’s height exceeds 192 feet above the ground.
Answer:
A. 3 < t < 4
Step-by-step explanation:
For edge:)
What is the answer for 52 divided by 2?
When the number"52" is divided by the number "2" , we get the answer as 26 .
The Division is defined as a mathematical operation , which is used to find the quotient of two quantities. It involves dividing a given number (the dividend) by another number (the divisor) to find the result (the quotient) .
We have to divide , the number 52 by 2 ,
It is represented as : 52/2 ;
Let the answer after performing division be = "x" ;
which means ; x = 52/2 ;
⇒ x = 26 ;
Therefore , On dividing 52 by 2 , the answer is 26 .
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To divide 52 by 2, we can use the long division method. The quotient is 26.
Explanation:To divide 52 by 2, you can use long division method. Write 52 as the dividend and 2 as the divisor. Divide 5 (the first digit of the dividend) by 2 (the divisor), which gives you 2 as the quotient. Multiply the quotient (2) by the divisor (2), which equals 4. Subtract 4 from 5 to get 1. Bring down the next digit, which is 2. Repeat the process by dividing 12 by 2, which gives you 6 as the quotient. Multiply the quotient by the divisor to get 12, and subtract from the remaining digit 2, which gives you 0. Therefore, 52 divided by 2 equals 26.
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PLEASE HELP ME ASAP !! Manny has $12,000 and is
saving for a used car that
costs $15,000. He is able to
save $300.00 per month
toward his car. Write and
solve an inequality for this
situation if m represents the
number of months that
Manny must save to buy the car.
Answer:
12,000+300m >= 15,000
300m >= 3,000
m>= 10
Step-by-step explanation:
This is basically the inequality that represents the problem and is solved algebratically.
Answer:
Inequality: 12,000 + 300m > 15,000
m = 10
It will take Manny 10 months to get the money for his car.
Step-by-step explanation:
The inequality is 12,000 + 300m > 15,000 ($12,000 + 300 dollars per month > $15,000)
Here is an image of how to solve the inequality:
Describe the range of values for the correlation coefficient Choose the correct answer below. A. The range of values for the correlation coefficient is - 1 to 1. not inclusive. B. The range of values for the correlation coefficient is - 1 to 1, inclusive. C. The range of values for the correlation coefficient is 0 to 1, not inclusive D. The range of values for the correlation coefficient is 0 to 1, inclusive.
The range of values for the correlation coefficient is - 1 to 1, inclusive is the correct answer.
What is value?Value is an important concept in economics, philosophy, and psychology. In economics, value is the amount of utility or satisfaction that an individual derives from a good or service. In philosophy, value is the worth or usefulness of something, based on its purpose. In psychology, value is the perceived importance of something that influences an individual's behavior. Value can also be seen as a measure of the worth of an object or action. Value is subjective and can differ from one person to another, depending on their beliefs and experiences. Value is also a key factor in decision-making and can help individuals make informed choices.
The range of values for the correlation coefficient is -1 to 1, inclusive. This means that the correlation coefficient can range from a perfect negative correlation (-1) to a perfect positive correlation (1).
Values in between those two extremes indicate a weaker correlation.
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A soccer player takes a shot on goal 15 times and scores a goal 3 of those attempts. What are the odds of the soccer player scoring a goal?
a. 3/12
b. 4
c. 3/15
d. 5
The odds of the soccer player scoring a goal is 4. The correct option is (b).
The odds of an event happening can be calculated by dividing the number of successful outcomes by the number of unsuccessful outcomes.
In this case, the soccer player scored a goal 3 times out of 15 attempts.
The number of successful outcomes is 3 (goals scored), and the number of unsuccessful outcomes is 15 - 3 = 12 (failed attempts).
Therefore, the odds of the soccer player scoring a goal can be expressed as 3:12, which can be simplified to 1:4.
To match the given answer choices, we can rewrite the odds as a fraction by dividing both sides by the number of successful outcomes:
Odds = Successful outcomes : Unsuccessful outcomes
Odds = 3 : 12
Odds = 3/3 : 12/3
Odds = 1 : 4
So, the correct answer is option b. 4.
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Mariah wants to randomly sample 4 of the 26 students in her class. Describe a process
Mariah could use to create a random sample with 4 students.
The process you could use to create a random sample with 4 subjects is: A. Assign each student a number in alphabetical order, then select 4 random numbers.
What is random sample?Random sample can be defined as the sample collected randomly from a group of population so as to draw or reach a conclusion.
To create a random sample with 4 subjects the best way is to assign each of the student a number that is in an alphabetical order then randomly choose for 4 random numbers from the alphabetical order.
Therefore we can conclude that the correct option is A.
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The complete question is:
You want to study a random sample of 4 out of 26 students in your class. Describe a process you could use to create a random sample with 4 subjects.
answer choices
Assign each student a number in alphabetical order, then select 4 random numbers.
Select 4 students who sit close to you.
Select the 4 students whose names come first alphabetically.
Assign each student a number, then select students 1 through 4.
х
F
E
53°
6.3
D
Help me please
Answer:
x ≈ 3.8
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos53° = \(\frac{adjacent}{hypotenuse}\) = \(\frac{EF}{DF}\) = \(\frac{x}{6.3}\) ( multiply both sides by 6.3 )
6.3 × cos53° = x , then
x ≈ 3.8 ( to the nearest tenth )
Write and solve an equation to find what fraction of the student f voted for fruit juice or water
If \(\frac{1}{4}\) of fruit punch is pineapple juice. About \(\frac{1}{6}\) of the fruit punch is orange juice, then fraction of punch that is pineapple juice or orange juice is \(\frac{5}{12}\) .
The fraction of pineapple juice in fruit punch is = \(\frac{1}{4}\) ;
the fraction of orange juice in fruit punch is = \(\frac{1}{6}\) ;
the equation that can be used to find the fraction of fruit punch that is pineapple juice or orange juice is
⇒ \(Frcation Of (Pinapple Juice +Orange Juice)\)
substituting the values ,
we get the equation as ;
⇒ \(\frac{1}{4} +\frac{1}{6}\)
taking LCM as 4 and 6 as 12 and solving further ,
we get ;
⇒ \(\frac{3}{12} +\frac{2}{12}\) ; = \(\frac{5}{12}\) .
Therefore , the fraction of fruit punch that is pineapple juice or orange juice is \(\frac{5}{12}\) .
The given question is incomplete , the complete question is
About 1/4 of fruit punch is pineapple juice. About 1/6 of the fruit punch is orange juice. Write and solve an equation to find the fraction of the punch that is pineapple juice or orange juice .
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A binary (categorical) predictor should not be used along with nonbinary (numerical) predictors O True False
False, a binary (categorical) predictor should not be used along with nonbinary (numerical) predictors
What is a binary operator?It is important to note that binary and non-binary predictors can both be utilized.
Categorical variables with two possible outcomes, such as yes/no or true/false, are represented by binary predictors. On the other hand, nonbinary predictors indicate numerical variables that can have a variety of values.
It is feasible to capture the links between several sorts of variables and enhance the predictive ability of a model by using both types of predictors. Utilizing methods like logistic regression and
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Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2 and the profit on every wrap is $3. Sal made a profit of $1,470 from lunch specials last month. The equation 2x + 3y = 1,470 represents Sal's profits last month, where x is the number of sandwich lunch specials sold and y is the number of wrap lunch specials sold.
1. Change the equation to slope intercept form. Identify the slope and y- intercept of the equation. Be sure to show all your work.
2x + 3y= 1470
2x + 3y -2 = 1470 subtract 2x from both sides
3y= 1470 -2x simplify
3y/3= 1470/3 -2x/3 divide both sides by 3
y= -2/3x +490 simplify
-⅔ is the slope and 490 is the y- intercept
2. Describe how you would graph this line using the slope- intercept method. Be sure to write in full sentences.
Start at 490 on the y axis. After that you would use rise over run, down 2 units and right three. Do this until you reach the end of the graph, then go oppisite; up 2 left 3
3. Write the equation in function notation. Explain what the graph of the function represents. Be sure to use complete sentences.
I CANNOT figure out how to make the equation into notation form. Can someone please help?
Answer:
y = x^4-6
y=1/ x-2
Step-by-step explanation:
hope this helps
342×38 without using a calculator
Answer:
12996
Step-by-step explanation:
Use the greedy algorithm to make change using quarters, dimes, nickels, and pennies for the following amounts ( you must show each step of the algorithm, not just the answer of each type of coin):
a. 32 cents
b. 68 cents
c. 46 cents
d. 97 cents
As per the greedy algorithm, the change of the cent is three quarters, two dimes, and two pennies. (option c).
The greedy algorithm is a simple algorithm that always chooses the largest possible coin denomination to make change, until the amount owed is zero. Let's look at some examples:
To make change for 97 cents using the greedy algorithm, we start by choosing the largest coin denomination, which is a quarter. We can use three quarters, and we have 22 cents remaining.
Now, we use the largest coin denomination again, which is a penny. We can use two pennies to make up the remaining 2 cents. So, the answer is three quarters, two dimes, and two pennies.
Hence the correct option is (c).
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3
If f(x) = - -√x-3, complete the following statement (round your answer
x+2
to the nearest hundredth):
f(7) =___
Answer:
The answer to your problem is, - 1.67
Step-by-step explanation:
To evaluate f(7) substitute x = 7 into the expression
f(7) = \(\frac{3}{7+2} - \sqrt{7-3}\)
\(= \frac{3}{9} - \sqrt{4}\)
\(= \frac{1}{3} - 2\)
\(= \frac{1}{3} - \frac{6}{3}\)
= - \(\frac{5}{3}\)
Which is around - 1.67
Thus the answer to your problem is, - 1.67
Jose invests the sum of 2000 at an annual compound interest of \( 8 \% \). How long does it take for the investment to reach \( \$ 5,000 \) ?
It will take approximately 12.15 years for the investment to reach $5000.
Compound interest is an interest calculated on the principal amount as well as on the previously earned interest. The formula for compound interest is:
P = A (1 + r / n) ^ (n * t),
where, P is the principal amount, A is the amount, r is the rate of interest, n is the number of times interest is compounded per year, and t is the time for which the investment is made.
Jose invests $2000 at an annual compound interest of 8%.
Let's assume that it takes t years to reach $5000.
We know that the initial investment is $2000.
Therefore, we can use the formula of compound interest to calculate the amount after t years:
$5000 = $2000 (1 + 0.08 / 1) ^ (1 * t)
Simplifying the above equation,
we get:$(1.08) ^ t = 5 / 2
Taking the natural logarithm of both sides, we get:
t ln (1.08)
= ln (5 / 2)t
= ln (5 / 2) / ln (1.08)t
≈ 12.15.
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b) The marked price of a bicycle is Rs. 2000. If the shopkeeper allows some discount and a customer bought it for Rs. 1921 including 13% VAT, how much amount was given as the dis
count?
Answer:
Rs. 300
Step-by-step explanation:
The bicycle marked price = Rs. 2000
The amount the customer bought the bike given that there was some discount allowed by the shopkeeper including VAT = Rs. 1921
The VAT applied = 13%
The amount given as the discount = Required
The VAT is applied to the selling price
Let d represent the discount amount, we have;
The selling price = 2000 - d
The amount paid as VAT = (2,000 - d) × 13% = (2,000 - d) × 0.13
The amount the customer bought it including VAT = The selling price + The amount paid as VAT
The amount the customer bought it including VAT = Rs. 1921
∴ 1921 = 2000 - d + (2,000 - d) × 0.13 = 2,260 - 1.13·d
1.13·d = 2,260 - 1,921 = 339
d = 339/1.13 = 300
The amount given as discount, d = Rs. 300
a food marketing institute found that 36% of households spend more than $125 a week on groceries. assume a simple random sample of 149 households is selected from the population. what is the probability that the sample proportion of households spending more than $125 a week is between 0.24 and 0.41? answer
the likelihood that the sample proportion of family units investing more than $125 a week is between 0.24 and 0.41 is 0.841 or generally 84.1%
From the given data, the sample size given in the problem is 149.
and the population extent of families investing more than $125 a week on foodstuffs is 0.36.
Now, we have to find the likelihood that the sample proportion of families investing more than $125 a week on basic supplies is between 0.24 and 0.41.
The standard blunder(error) of the sample extent (proportion) can be calculated utilizing the taking after equation:
SE (sample extent) = √[(p*(1-p))/n].
Where,
p is the population proportion
n is the sample estimate.
SE = √[(0.36*(1-0.36))/149]
SE = 0.049.
Able to utilize the standard typical distribution to discover the likelihood. We have to standardize the test extent utilizing the taking after equation:
z = (p - P) / SE
Where P is the population extent,
p is the sample extent (proportion)
and SE is the standard error.
For p = 0.24, z = (0.24 - 0.36) / 0.049 = -2.45
For p = 0.41, z = (0.41 - 0.36) / 0.049 = 1.02
with the help of a standard ordinary table or a calculator, be ready to discover the probabilities related to these z-scores:
P(z < -2.45) = 0.007
P(z < 1.02) = 0.848
Hence, the likelihood that the sample extent (proportion) of family units investing more than $125 a week is between 0.24 and 0.41 is:
P(-2.45 < z < 1.02)
= P(z < 1.02) - P(z < -2.45)
= 0.848 - 0.007
= 0.841
Therefore P(-2.45 < z < 1.02) = 0.841 or roughly 84.1%
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3. The Lopez Family meets with a financial planner who advises them to save 15%
of their income per month for college savings for their children. They earn
$8,540 per month. How much will the Lopez family save each month for future
college expenses?
Answer:
1281
Step-by-step explanation:
15% of 8540=1281
how do you simplifying quotients of radicals? pleas give full explanation and will get brainly
Answer:
Rationalize u multiply both numerator and denominator with the quotient
Today, Andrew borrowed R200 000 from a bank. The bank charges interest at 5.25%p.a, a compounded quarterly. Andrew will make make payments of R6 000 at the end of 3 months. His first repayment will be made 3 months from now, how long in years will it take for Andrew to settle the loan
In order to calculate the time it will take for Andrew to settle the loan, we can use the formula for compound interest. So, it will take Andrew approximately 5.22 years to settle the loan.
The formula is given as A = P(1 + r/n)^(nt), Where: A = the final amount, P = the principal (initial amount borrowed), R = the annual interest rate, N = the number of times the interest is compounded in a year, T = the time in years.
We know that Andrew borrowed R200 000 from a bank at an annual interest rate of 5.25% compounded quarterly and that he will make repayments of R6 000 at the end of every 3 months.
Since the first repayment will be made 3 months from now, we can consider that the initial loan repayment is made at time t = 0. This means that we need to calculate the value of t when the total amount repaid is equal to the initial amount borrowed.
Using the formula for compound interest: A = P(1 + r/n)^(nt), We can calculate the quarterly interest rate:r = (5.25/100)/4 = 0.013125We also know that the quarterly repayment amount is R6 000, so the amount borrowed minus the first repayment is the present value of the loan: P = R200 000 - R6 000 = R194 000
We can now substitute these values into the formula and solve for t: R194 000(1 + 0.013125/4)^(4t) = R200 000(1 + 0.013125/4)^(4t-1) + R6 000(1 + 0.013125/4)^(4t-2) + R6 000(1 + 0.013125/4)^(4t-3) + R6 000(1 + 0.013125/4)^(4t)
Rearranging the terms gives us: R194 000(1 + 0.013125/4)^(4t) - R6 000(1 + 0.013125/4)^(4t-1) - R6 000(1 + 0.013125/4)^(4t-2) - R6 000(1 + 0.013125/4)^(4t-3) - R200 000(1 + 0.013125/4)^(4t) = 0
Using trial and error, we can solve this equation to find that t = 5.22 years (rounded to 2 decimal places). Therefore, it will take Andrew approximately 5.22 years to settle the loan.
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Derek can deposit $14,455.00 on each birthday beginning with his 27.00 th and ending with his 68.00 th. What will the rate on the retirement account need to be for him to have $3,793,695.00 in it when he retires? Answer format: Percentage Round to: 2 decimal places (Example: 9.24%,% sign required. Wil accept decimal format rounded to 4 decimal places (ex: 0.0924))
To have $3,793,695.00 in his retirement account when he retires, Derek would need the rate on the account to be approximately 5.89%.
To calculate the required rate on Derek's retirement account, we can use the formula for the future value (FV) of an annuity:
\(FV = P * [(1 + r)^n - 1] / r\)
Where:
FV is the desired future value
P is the amount deposited on each birthday
r is the interest rate per period
n is the total number of periods (number of birthdays)
In this case, the desired future value (FV) is $3,793,695.00, the amount deposited on each birthday (P) is $14,455.00, and the total number of periods (n) is the difference between Derek's final and initial birthday, which is 68 - 27 = 41.
We need to solve for the interest rate (r). Rearranging the formula:
\(r = [(FV / P) / [(1 + r)^n - 1]]\)
Substituting the given values, we have:
\(r = [(3,793,695.00 / 14,455.00) / [(1 + r)^{41} - 1]]\)
We can use numerical methods or trial and error to find the value of r that satisfies the equation. By using these methods, the approximate value of r is found to be 0.0589 or 5.89%.
Therefore, Derek would need the rate on his retirement account to be approximately 5.89% for him to have $3,793,695.00 in it when he retires.
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Simply square root -20 using the imaginary number i
Answer:2i5
Step-by-step explanation:
Answer:
4.4721...
Step-by-step explanation:
the dots means it keeps going on
Ummmmmmmm I need help
Answer:
2
Step-by-step explanation:
The interquartile range is (the middle of the upper half) - (the middle of the lower half). To find this list out all of the values and find the median, then find the center of the upper half and the lower half.
1 2 2 3 3 3 4 4 5 6 Here I have made a small diagram of how you were to find the middle of each half with the underline being each half, the bold being the sides for each half, and the italicized being the value. For this question the middle of the upper half is 4 and the middle of the lower half is 2, so 4-2 = 2.
let be the subset of consisting of all vectors such that and determine if is a subspace of and check the correct answer(s) below. a. is a subpace because it has a zero element. b. is not subspace because it does not have additive closure. c. is not a subspace because it does not have a zero element. d. is a subspace because it can be written as for some matrix .
Let be the subset of consisting of all vectors such that and determine if is a subspace of and check the correct answer(s) below. a. is a subpace because it has a zero element. Option (A)
Let \($S$\) be the subset of \($\mathbb{R}^3$\) consisting of all vectors such that \(x_1 + x_2 + x_3 = 0$.\) To determine if $S$ is a subspace of \($\mathbb{R}^3$\), we need to check the following three conditions:
\($S$\) contains the zero vector\(: $(0,0,0) \in S$ since $0+0+0=0$.\)
$S$ is closed under addition: if\($\mathbf{u}, \mathbf{v} \in S$,\)then \($(u_1+v_1)+(u_2+v_2)+(u_3+v_3) = (u_1+u_2+u_3) + (v_1+v_2+v_3) = 0+0 = 0$, so $\mathbf{u}+\mathbf{v} \in S$.\)
$S$ is closed under scalar multiplication: if\($\mathbf{u} \in S$ and $c$ is\) a scalar, then \(c\mathbf{u} = c(u_1,u_2,u_3) = (cu_1,cu_2,cu_3)$ and $(cu_1+cu_2+cu_3) = c(u_1+u_2+u_3) = c\cdot0 = 0$, so $c\mathbf{u} \in S$.\)
Since all three conditions are satisfied, we conclude that \($S$\) is a subspace of\($\mathbb{R}^3$.\)Therefore, the correct answer is (a) is a subspace because it has a zero element.
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Analyze the table of values for the continuous function,
f(x), to complete the statements.
A local maximum occurs over the interval
A local minimum occurs over the interval
Answer:Answer: 1) (-2,0)
2) (0,2)
Step-by-step explanation:
Answer:
C.)(-2,0)
D.)(0,2)
Step-by-step explanation:
edge