Mathematics College

please help worth 25 points

Answers

Answer 1

9514 1404 393

Answer:

2 colas and 4 hot dogs

Step-by-step explanation:

We presume the units of total satisfaction are additive for the two food items.

The maximum number of colas Joe can buy with his $8 is $8/($2/cola) = 4 colas. Since a cola costs twice what a hot dog costs, Joe can give up 1 cola and buy 2 hot dogs. Possible purchases of (colas, hotdogs) for $8 can be ...

(0, 8), (1, 6), (2, 4), (3, 2), (4, 0)

Of course, either the number of colas or the number of hot dogs (or both) could be less than these values.

The corresponding satisfaction units are added in the attached table. These combinations are highlighted in green. The maximum number of satisfaction units is found to be for 2 colas and 4 hot dogs. (49 satisfaction units)

_____

Satisfaction values below and to the right of the highlighted diagonal cannot be purchased with $8.

Related Questions

linearise cos^5(x). Help asap please
use exponential

Answers

Answer:

Step-by-step explanation:

To linearize the function cos^5(x), we can use the following identity:

cos^5(x) = (cos^2(x))^2 * cos(x) = (1 - sin^2(x))^2 * cos(x)

Now, we can use the identity e^(ix) = cos(x) + i sin(x) to rewrite the expression as follows:

(1 - sin^2(x))^2 * cos(x) = ((1 - e^(ix) * e^(-ix))/2)^2 * (e^(ix) + e^(-ix))/2

= (1/16) * (e^(4ix) - 4e^(2ix) + 6 - 4e^(-2ix) + e^(-4ix))

This expression is now linear in terms of e^(ix) and e^(-ix). Therefore, we have linearized the function cos^5(x) as:

(1/16) * (e^(4ix) - 4e^(2ix) + 6 - 4e^(-2ix) + e^(-4ix))

The area can be found by multiplying the side lengths that are 6 units & 4 units

Answers

Answer:squares area is. 24

Step-by-step explanation:

6×4 = 24

Help plz:)))I’ll mark u Brainliest !

Answers

Answer:

The rectangle

Step-by-step explanation:

A square has 4 equal sides so it would be 20/4 it would look like 5x5x5x5

A rectangle is going to have 6x6x4x4

(2) The population density of a region in Alaska is 3,000 people/200 mi? Which of the
following is equivalent to the population density of this Alaskan region? (2.1)
(a) 3 people/2 mi?
(b) 15 people/mi?
(c) 30 people/20 mi?
(d) 150 people/100 mi?
(e) 150 people/ mi?

Answers

Answer:

15 people/mi

Step-by-step explanation:

The population density of a region in Alaska is 3,000 people/200 mi.

We need to find the equivalent to the population density of this Alaskan region.

$x=\dfrac{3000\ \text{people}}{200\ \text{mi}}\\\\x=\dfrac{30\ \text{people}}{2\ \text{mi}}\\\\x=\dfrac{15\ \text{people}}{\text{mi}}$

So, the correct option is (c) "15 people/mi"

Answer:

mhm

Step-by-step explanation:

Is the event independent or overlapping:
A spinner has an equal chance of landing on each of its eight numbered regions. After spinning, what is the probability you land on region three and region six?
Mutually exclusive or independent:
A bag contains six yellow jerseys numbered 1-6. The bag also contains four purple jerseys numbered 1-4. You randomly pick a jersey. What is the probability it is purple or has a number greater than 5.
Mutually exclusive or overlapping:
A box of chocolates contains six milk chocolates and four dark chocolates. Two of the milk chocolates and three of the dark chocolates have peanuts inside. You randomly select and eat a chocolate. What is the probability that is is a milk chocolate or has no peanuts inside?
Mutually exclusive or independent:
You flip a coin and then roll a fair six sided die. What is the probability the coin lands on heads up and the die shows an even number?

Answers

Let's analyze each scenario:

1. A spinner has an equal chance of landing on each of its eight numbered regions. After spinning, what is the probability you land on region three and region six?

In this case, the spinner's outcome of landing on region three is independent of landing on region six. Each spin is unrelated to the previous spin, and the outcome of one region does not affect the outcome of the other region. Therefore, the events are independent. The probability of landing on both region three and region six is the product of their individual probabilities: 1/8 * 1/8 = 1/64.

2. A bag contains six yellow jerseys numbered 1-6. The bag also contains four purple jerseys numbered 1-4. You randomly pick a jersey. What is the probability it is purple or has a number greater than 5?

In this scenario, the events are overlapping. A jersey can be both purple and have a number greater than 5 at the same time. Therefore, the probability of it being purple or having a number greater than 5 is the sum of their individual probabilities, minus the probability of the overlapping event (purple jerseys with a number greater than 5). There are 4 purple jerseys out of 10 total jerseys, and there is 1 jersey with a number greater than 5 out of 10. However, there is one jersey that satisfies both conditions (purple and number greater than 5), so we need to subtract it from the sum. So the probability is (4/10 + 1/10) - (1/10) = 4/10 = 2/5.

3. A box of chocolates contains six milk chocolates and four dark chocolates. Two of the milk chocolates and three of the dark chocolates have peanuts inside. You randomly select and eat a chocolate. What is the probability that it is a milk chocolate or has no peanuts inside?

In this scenario, the events are mutually exclusive. A chocolate cannot be both a milk chocolate and have no peanuts inside at the same time. Therefore, the probability of it being a milk chocolate or having no peanuts inside is the sum of their individual probabilities. There are 6 milk chocolates out of 10 total chocolates, and there are 7 chocolates without peanuts out of 10. So the probability is 6/10 + 7/10 = 13/10, which is greater than 1. However, probabilities cannot exceed 1, so we need to take the maximum value of 1. Therefore, the probability is 1.

4. You flip a coin and then roll a fair six-sided die. What is the probability the coin lands heads up and the die shows an even number?

In this case, the events are independent. The outcome of the coin flip does not affect the outcome of the die roll. The probability of the coin landing heads up is 1/2, and the probability of the die showing an even number is 1/2. To find the probability of both events occurring, we multiply their individual probabilities: 1/2 * 1/2 = 1/4.

I hope this clarifies the nature of each event. Let me know if you have any further questions!

The first question:

"A spinner has an equal chance of landing on each of its eight numbered regions. After spinning, what is the probability you land on region three and region six?"

Since the spinner has an equal chance of landing on each of its eight regions, the probability of landing on region three is 1/8, and the probability of landing on region six is also 1/8.

To find the probability of both events occurring (landing on region three and region six), you multiply the probabilities together:

P(landing on region three and region six) = P(landing on region three) * P(landing on region six) = (1/8) * (1/8) = 1/64.

Therefore, the probability of landing on both region three and region six is 1/64.

The events are mutually exclusive because it is not possible for the spinner to land on both region three and region six simultaneously.

--------------------------------------------------------------------------------------------------------------------------

The second question:

"A bag contains six yellow jerseys numbered 1-6. The bag also contains four purple jerseys numbered 1-4. You randomly pick a jersey. What is the probability it is purple or has a number greater than 5?"

To find the probability of either event occurring (purple or number greater than 5), we need to calculate the probabilities separately and then add them.

The probability of picking a purple jersey is 4/10 since there are four purple jerseys out of a total of ten jerseys.

The probability of picking a jersey with a number greater than 5 is 2/10 since there are two jerseys numbered 6 and above out of a total of ten jerseys.

To find the probability of either event occurring, we add the probabilities together:

P(purple or number greater than 5) = P(purple) + P(number greater than 5) = (4/10) + (2/10) = 6/10 = 3/5.

Therefore, the probability of picking a purple jersey or a jersey with a number greater than 5 is 3/5.

The events are overlapping since it is possible for the jersey to be both purple and have a number greater than 5.

--------------------------------------------------------------------------------------------------------------------------

The third question:

"A box of chocolates contains six milk chocolates and four dark chocolates. Two of the milk chocolates and three of the dark chocolates have peanuts inside. You randomly select and eat a chocolate. What is the probability that it is a milk chocolate or has no peanuts inside?"

To find the probability of either event occurring (milk chocolate or no peanuts inside), we need to calculate the probabilities separately and then add them.

The probability of selecting a milk chocolate is 6/10 since there are six milk chocolates out of a total of ten chocolates.

The probability of selecting a chocolate with no peanuts inside is 7/10 since there are seven chocolates without peanuts out of a total of ten chocolates.

To find the probability of either event occurring, we add the probabilities together:

P(milk chocolate or no peanuts inside) = P(milk chocolate) + P(no peanuts inside) = (6/10) + (7/10) = 13/10.

Therefore, the probability of selecting a milk chocolate or a chocolate with no peanuts inside is 13/10.

The events are mutually exclusive since a chocolate cannot be both a milk chocolate and have no peanuts inside simultaneously.

--------------------------------------------------------------------------------------------------------------------------

The fourth question:

"You flip a coin and then roll a fair six-sided die. What is the probability the coin lands heads up and the die shows an even number?"

The probability of the coin landing heads up is 1/2 since there are two possible outcomes (heads or tails) and they are equally likely.

The probability of rolling an even number on the die is 3

/6 or 1/2 since there are three even numbers (2, 4, and 6) out of a total of six possible outcomes.

To find the probability of both events occurring (coin lands heads up and die shows an even number), we multiply the probabilities together:

P(coin lands heads up and die shows an even number) = P(coin lands heads up) * P(die shows an even number) = (1/2) * (1/2) = 1/4.

Therefore, the probability of the coin landing heads up and the die showing an even number is 1/4.

The events are independent since the outcome of flipping the coin does not affect the outcome of rolling the die.

$\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}$

♥️ $\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}$

Graph the system of inequalities. Then use your graph to identify the point that
represents a solution to the system.
x + y2 3
x-3y< 2
(6, 1)
(8,-1)
(6,2)
O (6,-2)

Answers

The coordinates in the solution to the systems of inequalities graphically is (6, 2)

Solving the systems of inequalities graphically

From the question, we have the following parameters that can be used in our computation:

x + y > 3

x - 3y < 2

Next, we plot the graph of the system of the inequalities

See attachment for the graph

From the graph, we have solution to the system to be the shaded region

The coordinates in the solution to the systems of inequalities graphically is (6, 2)

Answers

Answer:

opis is false and q is false

Step-by-step explanation:

Answer:

its d

Step-by-step explanation:

3. In a Complete Sentence, How much does it cost to send a letter thatweighs 2.5 ounces? *

Answers

SOLUTION

The weight of the letter in consideration here is 2.5 ounces, and looking at the function P(w) given, it falls in the range of

\(2The corresponding cost for mailing letters that fall between that range is $2.29

So if we are to put our answer in a complete sentence, it will go thus:

5.6.8 let f be a uniformly continuous function on a set e. show that if {xn} is a cauchy sequence in e then {f(xn)} is a cauchy sequence in f(e). show that this need not be true if f is continuous but not uniformly continuous.
Proof. (1): To prove {f(xn)} is a Cauchy sequence just need to prove ∀ > 0, ∃N, s.t.,∀n, m > N,
have |f(xn) − f(xm)| < . Since f is uniformly continuous on set E, thus ∀ > 0, ∃δ > 0, s.t.,
∀x, y ∈ E, if |x − y| < δ,then |f(x) − f(y)| < .as {xn} is a Cauchy sequence, then ∃N, s.t.,
∀n, m > N, |xn − xm| < δ, thus |f(xn) − f(xm)| < which proves {f(xn)} is a Cauchy sequence.
(2): for example f(x) = 1
x
, x ∈ (0, 2) which is continuous but not uniformly continuous. {
1
n
} is
a Cauchy sequence, however, {f(xn)} does not converge which proves that it is not a Cauchy
sequence.

Answers

Showing that this need not be true if f is continuous but not uniformly continuous.

Given :

let f be a uniformly continuous function on a set e. show that if {xn} is a cauchy sequence in e then {f(xn)} is a cauchy sequence in f(e).

( 1 )

If f is uniformly continuous on E, then given ε > 0 there is δ > 0 such that if x, y are in E and |x−y| < δ,

then |f(x) − f(y)| < ε. Let (xn) be a Cauchy sequence in E. Then given δ > 0 there is N such that if p, q > N,

then |xp − xq| < δ, and thus |f(xp) − f(xq)| < ε, implying that (f(xn)) is a Cauchy sequence.

( 2 )

Let E = {1, 1/2, 1/3, · · } and f(1/n) = 1 is n is odd, f(1/n) = −1 if

n is even. Then f is continuous but not uniformly continuous. The sequence (xn) = (1/n) in E is Cauchy but the

sequence (f(xn)) = (1, −1, 1, −1, · · ·) is not Cauchy.

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7+3 (2x - 5) = 3x +7
Which could be a step in solving the equation?
A. 10 (2x - 5) = 3x +7
B. 10 (2x + 2) = 3x + 7
O c. 7+ 6x - 15 = 3x + 7
OD. 7+ 5x – 2 = 3x + 7

Answers

7 + 3(2x -5) = 3x + 7
distribution:

7 + 6x -15 = 3x + 7****

C as if you distribute it equals to C

According to BEDMAS rule first brackets so answer is C

(URGENT)!!!!!!!

Write one sentence that addresses the issue of globalization from the text and one sentence on how the absence of plantation owners perpetuated cruel treatment of slaves by overseers

Answers

Answer:

Step-by-step explanation:

One sentence on globalization from the text: The process of globalization has brought significant changes to the world economy, including the emergence of new trade patterns and the increasing interconnectedness of markets.

One sentence on how the absence of plantation owners perpetuated cruel treatment of slaves by overseers: In the absence of plantation owners, overseers were left with unchecked power over the enslaved population, often resulting in brutal treatment and violence

Need help with this question ASAP

Answers

Answer: 2(x+5)

Step-by-step explanation:

Please help me the question

Answers

The polynomials completely factorized have the following expressions;

50). x³ - 3x² - 26x - 12 = (x - 6)(x + 1)(x + 2)

51). x³ - 12x² + 12x + 80 = (x - 10)(x + 2)(x - 4)

52). x³ - 18x² + 95x + 126 = (x - 9)(x - 2)(x - 7)

53). x³ - x² + 21x + 45 = (x + 5)(x - 3)(x - 3)

How to factorise the polynomials completely

For the polynomial x³ - 3x² - 26x - 12 divisible by x - 6;

(x³ - 3x² - 26x - 12)/(x - 6) = x² + 3x + 2

x² + 3x + 2 = (x + 1)(x + 2)

so;

x³ - 3x² - 26x - 12 = (x - 6)(x + 1)(x + 2)

For the polynomial x³ - 12x² + 12x + 80 divisible by x - 10;

(x³ - 12x² + 12x + 80)/(x - 10) = x² - 2x - 8

x² - 2x - 8 = (x + 2)(x - 4)

so;

x³ - 12x² + 12x + 80 = (x - 10)(x + 2)(x - 4)

For the polynomial x³ - 18x² + 95x + 126 divisible by x - 9;

(x³ - 12x² + 12x + 80)/(x - 9) = x² - 9x + 14

x² - 9x + 14 = (x - 2)(x - 7)

so;

x³ - 18x² + 95x + 126 = (x - 9)(x - 2)(x - 7)

For the polynomial x³ - x² + 21x + 45 divisible by x + 5;

(x³ - x² + 21x + 45)/(x + 5) = x² - 6x + 9

x² - 6x + 9 = (x - 3)(x - 3)

so;

x³ - x² + 21x + 45 = (x + 5)(x - 3)(x - 3)

Therefore, by complete factorization the expressions (x - 6)(x + 1)(x + 2), (x - 10)(x + 2)(x - 4), (x - 9)(x - 2)(x - 7), and (x + 5)(x - 3)(x - 3) are the factors of their respective polynomial.

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Write as the opposite of a square root. -3√5

Answers

The value of -3√5 as the opposite of the square root is -75.

What in mathematics is a square root?

The factor we can multiply by itself to obtain a given number is the number's square root.

Square root is represented by the symbol sqrt, which stands for square root of, end square root. Squaring an integer is the reverse of finding its square root.

-3√5

The opposite of the square root is the square, so,

-3√5 = -3 × 5²

-3√5 = - 3 × 25

-3√5 = - 75

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What percent of 90
is 19?

Answers

The answer is 21.11.

Answer: 17.1

Step-by-step explanation:

90% of 19 is 17.1

mean, median, mode or standard deviation best represents the data

Answers

Answer:

mean

Step-by-step explanation:

Two identical moving balls of mass 6 kg have clastic collisioa where the first ball was moving at $ m/s before collition. Find the initial velocity of the second ball if the kinetic energy of the system after collision is 75 j.
A-200 m/s
B-4m/s
C-6m/s
D-3 m/s

Answers

Answer: The correct answer is D-3 m/s.

Step-by-step explanation: To find the velocity of the second ball, we need to use the principle of conservation of kinetic energy.

The total kinetic energy before the collision is equal to the total kinetic energy after the collision.

Initial kinetic energy = $\frac{1}{2} * 6 * v^2$

Final kinetic energy = $\frac{1}{2} * 6 * 6 + \frac{1}{2} * 6 * v^2 = 75$

Solving for v, we get v = 3 m/s.

Is the relationship for Camille’s puppies weight in terms of linear or nonlinear

Answers

Answer:

linear

Step-by-step explanation:

Where is the picture for this problem???

Is the relationship for Camilles puppies weight in terms of linear or nonlinear

Answer:

Camille's is linear

Step-by-step explanation:

The weight for Camille's puppy increases in a constant rate(the puppy gains .5 pound per week, every week).

Amit's puppy is non-linear. Observe the table

X 1 2 3 4 5 6 7 8 9 10

Y 4 6 8 12 16 20 22 24 28 32

weeks start out with constant + 2 changes, then at week 3-4 the puppy gains a +4 (no longer linear - your line is no longer straight)

Olivia's puppy is linear

a dinner bill for $15.35 with an 8% sales tax

Answers

Answer:

To calculate the total cost of the dinner bill including sales tax, we can use the following steps:

Step 1: Calculate the sales tax amount

The sales tax is 8% of the original bill amount, so we can calculate it as follows:

Sales tax = 8% of $15.35

Sales tax = 0.08 x $15.35

Sales tax = $1.23

Step 2: Calculate the total cost

To calculate the total cost of the dinner bill including sales tax, we need to add the sales tax amount to the original bill amount:

Total cost = $15.35 + $1.23

Total cost = $16.58

Therefore, the total cost of the dinner bill including an 8% sales tax is $16.58

Answer:

$16.58

Step-by-step explanation:

To find 8% of $15.35, you must convert the percentage to a decimal value:

8/100 = 0.08

Next we need to figure out what 0.08 is out of $15.35:

15.35 * 0.08 = 1.228

We want to keep this value and leave the rounding for the end to have more accurate results.

Next you must add this value to the initial 15.35:

15.35 + 1.228 = 16.578

=$16.58

Hope this helps, have a great day. P.s. please provide the full question next time :D

5.3 MATHEMATICS HOLIDAY PACKAGE-TERM 2(2023) Instructions: Attempt ALL items 1. Your family has seven siblings; peter, John, Sarah, Joy, Ali, Mary and Ivan. There is an interval of 2 years between the ages of the children from Ivan to peter. Ivan is three years old. Task: Using an arrow diagram, explain the information about your family.

Answers

May pasok I am going back to the house now and then I can come back and get it for a little while I’m in bed now I have a lot to go with the baby shower so I’ll let mama know if I can help her with it or if she wants it or if

Find the equation (in slope-intercept form) of the line with the given slope that passes through the point with the given coordinates.

slope: −3, ordered pair: (−4,−2)

Answers

Answer:

y = - 3x - 14

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = - 3 , then

y = - 3x + c ← is the partial equation

to find c substitute (- 4, - 2 ) into the partial equation

- 2 = 12 + c ⇒ c = - 2 - 12 = - 14

y = - 3x - 14 ← equation of line

simplify 6(b+8)-9(3b-4)

Answers

Answer:

$\sf -21b+84$

Step-by-step explanation:

$\sf 6(b+8)-9(3b-4)$

We'll use the distributive property to multiply 6 by b + 8, and -9 by 3b - 4.

$\sf 6b+48-27b+36$

Combine like terms.

$\sf -21b+48+36$

Add numbers.

$\sf -21b+84$

_________________

Owen receives $10 and puts it into his saving account. He adds $0.50 to the account each day for a number of day, d, after that. He writes the expression 10+ 0.5(d-1) to find the amount of money in his account after d days. Which statement about his expression is true?

Answers

The true expression about the account is D.) It is the sum of the initial amount and the additional amount after d days.

What does the expression 10+0.5(d−1) represent in Owen's savings account?

The answer is D because it represents the sum of the initial amount and the additional amount after d days. The initial amount is $10 and Owen adds $0.50 to the account each day for a number of days, represented by d.

By subtracting 1 from d, the expression ensures that on the first day (when d=1), only the initial $10 is counted. On each subsequent day, the additional amount of $0.50 is added to the total. Therefore, the expression 10+0.5(d−1) gives the amount of money in Owen's account after d days.

Answers

Answer:

20π [in].

Step-by-step explanation:

1. formula is:

C=π*2r;

2. the circumference according to the formula is:

C=π*10*2=20π.

Hi Im giving brainlest whoever answer this correctly

Answers

Step-by-step explanation:

2×18

2×9

3×3 therefore prime factorization is 2²×3²

2×21

3×7 therefore prime factorization is 2×3×7

3×16

2×8

2×4

2×2 therefore prime factorization is 2⁴×3

3×9

3×9 therefore prime factorization is 3³

Suppose that $500 is deposited into an account that pays 5.5% interest compounded
quarterly. How long will it take for the account to contain at least $1400? Round to the
nearest whole number.

Answers

Answer:

18.85 years

Step-by-step explanation:

Using the $A=P(1+\frac{r}{n} )^{nt}$ we can manipulate it to give us time.

However, let's identify our variables:

A is our final amount which is given to us, $1400.

P is our principle which is $500.

r is our rate which is 5.5% which can be traducted into 0.055.

n is the # of time our money get compounded per year, in this case quarterly means 4 times a year therefore n = 4.

t is time and is what we are trying to solve for.

Now let's manipulate our equation to find t:

$A=P(1+\frac{r}{n} )^{nt}$

$\frac{A}{P} =(1+\frac{r}{n} )^{nt}$

$\frac{1400}{500} =(1+\frac{0.055}{4} )^{4t}$

$2.8=1.01375^{4t}$

$log_{1.01375}(2.8)=log_{1.01375}1.01375^{4t}$

$log_{1.01375}(2.8)=4t$

$\frac{log_{1.01375}(2.8)}{4} =t$

$18.84876253=t$

It would take about 18.85 years in order for you to accumulate at least $1400.

(a) The number of terms in an arithmetic progression is 40 and the last is -54. Given that the sum of the 15 terms added to the sum of the first 30 terms is zero. Calculate (1) The first term and common difference, (ii) the sum of the progression.

Answers

(i) The first term (a) is 24 and the common difference (d) is -2.

(ii) The sum of the progression is 2520.

i) Finding the first term and common difference:

Given that the number of terms in the arithmetic progression is 40 and the last term is -54, we can use the formula for the nth term of an arithmetic progression to find the first term (a) and the common difference (d).

The nth term formula is: An = a + (n-1)d

Using the given information, we can substitute the values:

-54 = a + (40-1)d

-54 = a + 39d

We also know that the sum of the first 15 terms added to the sum of the first 30 terms is zero:

S15 + S30 = 0

The sum of the first n terms of an arithmetic progression can be calculated using the formula:

Sn = (n/2)(2a + (n-1)d)

Substituting the values for S15 and S30:

[(15/2)(2a + (15-1)d)] + [(30/2)(2a + (30-1)d)] = 0

Simplifying the equation:

15(2a + 14d) + 30(2a + 29d) = 0

30a + 210d + 60a + 870d = 0

90a + 1080d = 0

a + 12d = 0

a = -12d

Substituting this value into the equation -54 = a + 39d:

-54 = -12d + 39d

-54 = 27d

d = -2

Now we can find the value of a by substituting d = -2 into the equation a = -12d:

a = -12(-2)

a = 24

Therefore, the first term (a) is 24 and the common difference (d) is -2.

ii) Finding the sum of the progression:

The sum of the first n terms of an arithmetic progression can be calculated using the formula:

Sn = (n/2)(2a + (n-1)d)

Substituting the values:

S40 = (40/2)(2(24) + (40-1)(-2))

S40 = 20(48 - 39(-2))

S40 = 20(48 + 78)

S40 = 20(126)

S40 = 2520

Therefore, the sum of the arithmetic progression is 2520.

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Solve the system of equations using the elimination method.
2x + 6y = 44
3x - у = -4

Answers

Answer: x = 1, y = 7

Step-by-step explanation:

2(1) + 6(7) = 44

3(1) - 7 = -4

1. How do you know if you should multiply or divide when converting measurements?

Answers

Step-by-step explanation:

when using similar processes to converting from smaller to large units. When converting a large unit to a smaller one, you can multiply;when you convert a smaller unit to large one, you can divide.

URGENT!!! Elementary school students were given a geometry assignment. They were to measure the area of several rectangles and to measure the diagonal of the rectangle as shown in the table.

The equation of the least-squares regression line is
ŷ = 3.6 + 0.113x, where ŷ is the diagonal and x is the area of the rectangle. Which shows the residual plot?

Answers

The plot of the residuals to the area indicates that the graph that corresponds to the residuals is the second option.

Please find attached the graph of the residual plot for the data created with MS Excel

What is a residual plot?

A residual plot is a tool used for assessment of statistical models, to determine how fit the model is to the data. A residual plot is a plot of the residuals to the input or x-values of the data.

The trend line for the data in the question obtained using MS Excel indicates that we get; y = 0.1128·x + 3.6158

The residuals, which is the difference between the actual values and the calculated value obtained using MS Excel are;

Area (in²) ${}$ Residuals

x-value

5 ${}$ -1.0178

10 ${}$ -0.2718

24 ${}$ 0.605

46 ${}$ 0.7874

53 ${}$ 0.7018

78 ${}$ 0.0758

84 ${}$ -0.129

100 ${}$ -0.7538

The above values for the areas and the residuals indicates that the residual plot is n shaped, with the first two values being below the x-axis, which corresponds to the second option

Learn more on residual values of a set of data here: https://brainly.com/question/31687998

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