Proportional vs Nonproportional Functions
Which situation represents proportional function?
O A store sells shirts for $5 each, or 2 shirts for $10, or 5 shirts for $20
O The cost for pizza is $12 per pizza plus $0.50 for each topping.
O A parking garage charges $5 for the first hour, then $3 each additional hour.
O A homeowner pays $30 for mowing plus $5 for a tip every week.

Discounted price for room would be 70% of the original list price, which is 0.7 * RM450 = RM315. The final amount that Ms. Jessi needs to pay in cash is RM283.50 - RM14.18 = RM269.32, which rounds up to RM269.33.

Ms. Jessi will spend RM256.75 in cash for a room at a list price of RM450 if she qualifies for the trade discount. The hotel reduces the prices of all room types by 30% during the low season. This means the discounted price for the room would be 70% of the original list price, which is 0.7 * RM450 = RM315.

Additionally, Ms. Jessi qualifies for a 10% trade discount, which further reduces the price. The trade discount is calculated as 10% of RM315, which is 0.1 * RM315 = RM31.50. Therefore, the price after applying the trade discount is RM315 - RM31.50 = RM283.50.

Finally, Ms. Jessi is eligible for a 5% cash discount, which is calculated as 5% of RM283.50, resulting in a cash discount of 0.05 * RM283.50 = RM14.18. The final amount that Ms. Jessi needs to pay in cash is RM283.50 - RM14.18 = RM269.32, which rounds up to RM269.33. Therefore, the correct answer is d. RM269.33.

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98 % confidence interval for the proportion of all adults in the United States who exercise on a regular basis is 0.440 < P < 0.619.

What does a statistical random sampling entail?

P = x/n

= 89/168

= 0.53

α= 0.02

∴Zc = Zi - α/2

= 2.326

Now, C.I = P ± Zc * √[P(1-P)/n]

= 0.5 ± 2.326 * √[(0.53(1-0.53)) / 168

= (0.440, 0.619)

∴98% C.I. = 0.440 < P < 0.619

Hence, 98 % confidence interval for the proportion of all adults in the United States who exercise on a regular basis is 0.440 < P < 0.619.

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He got the shirt for 30% off

Answer:

Yes

Step-by-step explanation:

Answer:

collinear segments

Step-by-step explanation:

Answer: 12:2, 6:1, 24:4

Step-by-step explanation:

Step-by-step explanation:

These two angles are same side corresponding interior angles so they are equal to each other

\(5x + 20 = 120\)

\(5x = 100\)

\(x = 20\)

The required number of ways to select the students for the committee are  a) 3475231936 b ) 2759743008.

A combination is a numerical strategy that decides the quantity of potential game plans in an assortment of things where the request for the determination doesn't make any difference. In mixes, you can choose the things in any request. Mixes can be mistaken for stages.

We have 19 freshmen and 34 sophomores.

a) Number of ways to make committee of 3 freshmen and 5 sophomores,

= ¹⁹C₃ × ³⁴C₅

= 3475231936 ways

b) Number of ways can a committee with exactly 1 freshman,

= ¹⁹C₁ × ³⁴C₇

= 2759743008 ways

Thus, required number of ways are a) 3475231936 b ) 2759743008.

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Answer:

calm down 5x = 40 x = 8

40+40+3y-8=180

3y=108

y = 36

can you help me in something please?

This type of sum is Liquidated damages.

Liquidated damages are presented in certain legal contracts as an estimate of otherwise intangible or hard-to-define losses to one of the parties.

As per the given situation we have

parties to a sales contract have stipulated that a specific sum be paid by any party

Liquidated damages occur in such a situation.

The amount of damages that the parties estimate and agree upon at the time of the contract for a breach of the agreement by either party is referred to as liquidated damages.

Regardless of the actual cost of any potential damages due to the breach of the contract, this amount becomes due immediately.

According to Section 74 of the Indian Contract Act, 1972, if parties agree a sum to be paid as damages or a penalty to be imposed for a breach, the harmed party is only entitled to that sum or penalty and no other higher or lesser sum.

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Step-by-step explanation:

write what you know

the flat fee doesnt chamge no matter how much he uses his data

the charge for every gigabyte does change

Ex: if he uses 3 gigabytes of data in one month, that's

5 + 5 + 5 = $5 x 3 = $15

So taking this into consideration youd write the following

$41.50 + $5x = $52.50 (since this is what we want to equal)

then solve for x

Answer:

y = 2.5x + 0

Step-by-step explanation:

y = mx + c

11 = 5m + c

m = y2-y1/x2-x1

m = 10/4

11 = 5(2.5) +c

11= 11 + c

c= 0

The solution to the differential equation y" - 8y' + 16y = 24x + 2 is y = (c1 + c2 x) e^(4x) - 3x + 1 plus any constants determined by initial or boundary conditions.

To solve the given differential equation y" - 8y' + 16y = 24x + 2 using the method of undetermined coefficients, we first find the complementary solution of the homogeneous equation y" - 8y' + 16y = 0:

The characteristic equation is r^2 - 8r + 16 = 0, which has a double root of r = 4. Therefore, the complementary solution is y_c = (c1 + c2 x) e^(4x).

Next, we need to find a particular solution for the non-homogeneous equation. Since the right-hand side has two terms, we can try a particular solution of the form y_p = Ax + B for the homogeneous term and y_p = C for the constant term.

Substituting this form into the differential equation, we get:

y_p" - 8y_p' + 16y_p = 24x + 2

Taking the derivatives and plugging them back into the equation, we get:

-8A + 16B + 16C = 2

0 + 0 + 16C = 24

Solving for A, B, and C, we get A = -3, B = -1/2, and C = 3/2.

Therefore, the particular solution is y_p = -3x - 1/2 + 3/2 = -3x + 1.

The general solution is then y = y_c + y_p = (c1 + c2 x) e^(4x) - 3x + 1.

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Answer: they are different because h=50 means that h and 50 are equal meaning that h is 50. H>50 means that h is not 50 but could be anything greater than 50

Step-by-step explanation:

Step-by-step explanation:

i think the difference between h=50 and h>50 is that if h=50 then h is 50 but if h>50 then h is larger than 50

Since the points on this graph represent a relationship between x- and y-values, the statement which is true about the relationship is that: 4. It cannot be proportional because a straight line through the points does not go through the origin.

A graph can be defined as a type of chart that's commonly used to graphically represent data on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis.

In Mathematics, the graph of any proportional relationship is characterized by a straight line with the points passing through the origin (0, 0) because as the values on the x-axis (x-coordinate) increases or decreases, the values on the y-axis (y-coordinate) increases or decreases simultaneously.

In this context, we can reasonably infer and logically deduce that the relationship between x-values and y-values in this graph is not proportional.

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Complete Question:

The points on this graph represent a relationship between x- and y-values. Which statement about the relationship is true?

1. It must be proportional because the points lie on the same line.

2. It must be proportional because each time x increases by 2, y stays the same.

3. It cannot be proportional because the y-values are not whole numbers.

4. It cannot be proportional because a straight line through the points does not go through the origin.

Answer:

x = 5

y = -4/3

Step-by-step explanation:

2x + 3y = 6

x - 3y = 9

Substitution Method:

x = 3y + 9

2(3y+9) + 3y = 6

6y + 18 + 3y = 6

9y = -12

y = -12/9 or -4/3

x - 3(-4/3) = 9

x + 4 = 9

x = 5

Answer: volume of the cube is (7 cm)^3= 343 cm^3

We square the residuals when using the least-squares line method to find the line of best fit because we believe that huge negative residuals (i.e., points well below the line) are just as harmful as large positive residuals (i.e., points that are high above the line).

We treat both positive and negative disparities equally by squaring the residual values.  We cannot discover a single straight line that concurrently minimizes all residuals. The average (squared) residual value is instead minimized.

We might also take the absolute values of the residuals rather than squaring them. Positive disparities are viewed as just as harmful as negative ones under both strategies.

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The value of a and b in the right triangle are 4√3 and 6 units.

A right angle triangle is a triangle that has one of its angles as 90 degrees. The sum of angles in a triangle is 180 degrees.

The sides a and b can be found using trigonometric ratios. Therefore,

sin 30 = opposite / hypotenuse

sin 30 = 2√3 / a

cross multiply

1 / 2  =  2√3 / a

a = 2√3 × 2

a = 4√3

Therefore, let's find b as follows:

cos 30 = adjacent / hypotenuse

cos  30 = b /  4√3

cross multiply

√3 / 2 = b /  4√3

4√3 × √3 = 2b

b = 12 / 2

b = 6

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Answer:

❘-40 - 140❘

Step-by-step explanation:

Given that,

Franky’s SAT score was 140 points above the average score.

Francesca’s SAT score was 40 points below the average score.

We need to find the expression that represents the difference in their scores. It can be calculated as follows :

d = ❘-40 - 140❘

= -180

Hence, the correct option is (A) "❘-40 - 140❘".

The specific solution depends on the given matrix A.

To find a basis for each of the subspaces r(AT), N(A), r(A), and N(AT), we first need to understand what each of these terms represents:

1. r(AT) - the row space of the transpose of matrix A
2. N(A) - the null space of matrix A
3. r(A) - the row space of matrix A
4. N(AT) - the null space of the transpose of matrix A

To find a basis for each of these subspaces, follow these general steps:

1. For r(A) and r(AT), row reduce the matrix A and its transpose AT to their row echelon forms. The non-zero rows in the reduced matrices will form a basis for the row spaces.

2. For N(A) and N(AT), set up the homogenous system of linear equations (Ax = 0 and ATx = 0), where x is the vector of variables. Then, solve the systems using Gaussian elimination, and find the general solutions. The general solutions will provide the basis vectors for the null spaces.

Note that specific solutions depend on the given matrix A. The process outlined above will help you find the basis for each of the subspaces r(AT), N(A), r(A), and N(AT) once you have the matrix A.

The correct question should be :

What is the matrix A for which you would like to find the basis for each of the subspaces r(AT), N(A), r(A), and N(AT)?

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Since the circle is divided into 9 equal parts, this will serve as our denominator. Each slice is 1/9 of the circle.

Since Vincent marked two parts of the circle, that measures 2/9 of the circle.

We know that one whole circle is one revolution and that is 360 degrees.

Hence, to measure the marked angle, we can use the expression:

Answer: slope -1/4 y intercept -8

Step-by-step explanation:

In the form y = mx+b, m is the slope and b is the y-intercept. So let’s get it into this form, by getting y by itself.

4y = -x - 32

divide by 4 on every term

y = -1/4x - 8

therefore the slope is -1/4 and y intercept is -8

The predicted value of y when x = 3, based on the least-squares regression line equation y = 50 - 15x, is y = 50 - 15(3) = 5.

The given least-squares regression line equation y = 50 - 15x represents a linear relationship between the variables x and y. In this equation, the coefficient of x (-15) represents the slope of the line, and the constant term (50) represents the y-intercept.

To find the predicted value of y when x = 3, we substitute x = 3 into the equation and solve for y. Plugging in x = 3, we have y = 50 - 15(3). Simplifying this expression, we get y = 50 - 45 = 5.

Therefore, when x = 3, the predicted value of y based on the least-squares regression line is 5. This means that according to the regression line, when x is 3, the expected or estimated value of y is 5.

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Answer:

\(i \times j = k \\ j \times k = i \: and \: k \times i = j \\ \\ j \times i= - k \\ k \times j = - i \\ i \times k = - j \\ \\ (i - k) \times (k - j) = \\ i \times k - (i \times j) - \\ (k \times k) + (k \times j) \\ note \\ \: i \times i = j \times j = k \times k = 0\)

Based on the image given above, the angles that are numbered can be classified as:

∠1 and ∠2: vertical angles

∠3 and ∠4: adjacent angles

Angles that share the same vertex and also the same side, are said to be angles that lie next to each other which are called adjacent angles.

For example, the angles in the image given that are numbered as 3 and 4, share the same vertex and a common side. Therefore, they are adjacent angles.

If two angles are formed to lie directly opposite to each other when two lines intersect at a point, the angles share a common point but do not share a common side. These set of angles are called vertical angles.

For example, in the image given, angles 1 and 2 are vertical angles.

Therefore, the angles would be classified as:

Angles 1 and 2: vertical angles

Angles 3 and 4: adjacent angles

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Answer:

3 and 4 are adjacent angles, and 1 and 2 are vertical angles.

Step-by-step explanation:

vertical angles are across from each other while adjacent is next to each other. the other person's explanation is better than mine though. :')

Answer:

Let c = number of children

a = number of adults

$15.50c + $20a = $3,782

c + a = 217

$15.50c + $20(217 - c) = $3,782

$15.50c + $4,340 - $20c = $3,782

$4,340 - $4.50c = $3,782

$4.50c = $558

c = 124, a = 93

{(c, a)} = {(124, 93)}

Answer:

45 degrees

Step-by-step explanation:

The first angle of the triangle is 45 degrees. This can be determined by the given information that the second angle is 30 degrees larger than the first and the third angle is 3 times the second. Since the second angle is 30 degrees larger than the first, the first angle must be 15 degrees, and the third angle must be 3x15=45 degrees.