If rectangle A has sides that are three times the length of those in rectangle B, how do the areas of the two rectangles compare?
A. The area of A is three times the area of B.
OB. The area of A is six times the area of B.
OC. The area of A is eight times the area of B.
OD. The area of A is nine times the area of B.
E. The area of A is twelve times the area of B.

Answer:

The equations are linearly independent so there is no parametric vector form

Step-by-step explanation:

I attached the solution.

Answer:

33.33%

Step-by-step explanation:

Formula for calculating Percentage change =

New Price - Old Price     x 100

         Old Price                        1

Where new price is $8

Old Price is $6

Step 2: Input the variables in the above formula

          $8 - $6    x    100

            $6                 1

        =   $2      x  100

             $6

= $0.333 x 100 =    33.33%

Percentage change  = 33.33%

Answer:

Sorry, I cant understand rewrite it again.

The solution for the first inequality is a ≥ 2 or a ∈ [2, ∞), and for the second inequality the solutions are b < -5 or b ∈ (-∞, -5)

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

We have two inequalities:

a.) -12a +7 ≤31

b.) -9 > 3b +6

a)  -12a +7 ≤ 31

-12a ≤ 31 - 7

-12a ≤ 24

-a ≤ 2

a ≥ 2  (sign changed because multiplied by a negative number)

a ∈ [2, ∞)

b.) -9 > 3b +6

-15 > 3b

-5 > b

or

b < -5

b ∈ (-∞, -5)

Thus, the solution for the first inequality is a ≥ 2 or a ∈ [2, ∞), and for the second inequality the solutions are b < -5 or b ∈ (-∞, -5)

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The rational function graphed in this problem is given as follows:

D. F(x) = x/[(x + 4)(x - 1)]

The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator, hence they are given as follows:

x= -4 and x = 1.

Hence the denominator of the function is given as follows:

(x + 4)(x - 1).

The intercept is given as follows:

x = 0.

Hence the numerator is:

x.

Thus the function is given as follows:

D. F(x) = x/[(x + 4)(x - 1)]

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Answer:

Mirandah added 5x and 9y, which she shouldn't do because one is y and the other is x, meaning they don't match.

There is no simplifying the equation. It should stay 5x + 9y - 4

If wrong, I apologize, but this should be correct.

The hours 1,100 hours on Saturn is equivalent to 100 days on Earth and Mars

From the question, we have the following table of values that can be used in our computation:

Planet      Length of one day (hours)

Earth                24

Mars                25

Saturn               11

Also, we have

Number of hours on Saturn = 1100

So, we can represent the table of values as a ratio

Earth : Mars : Saturn = 24 : 25 : 11

Substitute Number of hours on Saturn = 1100 in the ratio

Earth : Mars : 1100 = 24 : 25 : 11

Multiply the ratio by 100

So, we have

Earth : Mars : 1100 = 2400 : 2500 : 1100

This means that

Earth = 2400 hours

Mars = 2500 hours

Divide by 24 and 25

Earth = 100 days

Mars = 100 days

Hence, the number of days on Earth is 100 days

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The number of days that are equal to 1,100 hours on Saturn is given as follows:

100 days.

A proportion is a fraction of a total amount, which is used along with the basic arithmetic operations such as multiplication and division to find the desired measures in the context of a problem.

The length of one day in Saturn, from the table, is given as follows:

11 hours.

Hence the following rule of three models the situation, considering that we want the number of days for 1,100 hours, hence:

1 day - 11 hours

x days - 1100 hours.

Then the number of days equivalent to 1100 hours on Saturn is obtained applying cross multiplication, as follows:

11x = 1100

x = 1100/11

x = 100 days.

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Answer:

30 cm

Step-by-step explanation:

18x1.66666667=30

Hope this helps :)

In fraction form, the answer is 1/4, which represents the simplified probability of the given event occurring.

To find the probability of picking a prime number and then picking another prime number, we first need to determine the total number of possible outcomes and the number of favorable outcomes.

Given the four numbers: 5, 6, 7, and 8, we can see that there are two prime numbers (5 and 7) and two non-prime numbers (6 and 8).

The total number of possible outcomes is 4 since there are four cards to choose from.

Now, let's consider the favorable outcomes, which are picking a prime number and then picking another prime number.

The probability of picking a prime number on the first draw is 2/4, as there are two prime numbers out of the four total cards.

Since we replace the card before the second draw, the probability of picking a prime number on the second draw is also 2/4.

To find the probability of both events occurring, we multiply the individual probabilities:

(2/4) * (2/4) = 4/16 = 1/4

Therefore, the probability of picking a prime number and then picking another prime number is 1/4.

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Answer: The radius of the circle is 5 3/8 inches.

Step-by-step explanation:

The radius of the circle is half of the diameter. We can start by converting the mixed number diameter to an improper fraction:

10 3/4 = (10 × 4 + 3)/4 = 43/4

So, the diameter of the circle is 43/4 inches. The radius is half of this, which we can find by dividing by 2:

r = (43/4) ÷ 2 = 43/8

To simplify the fraction, we can divide the numerator and denominator by their greatest common factor (GCF), which is 1:

r = 43/8 = 5 3/8

Therefore, the radius of the circle is 5 3/8 inches.

Answer:5 3/4

Step-by-step explanation:

10 3/4 * 1/2

1/2 * 43/4 = 43/8

8/43=5 3/4

There should be 21,741 Starbucks shops in the US in 2020.

Percent is a way of expressing a number as a fraction of 100. It is represented by the symbol "%". For example, 50% is the same as 0.5 or 50/100. Percentages are often used to represent proportions, rates of change, or to compare quantities.

Here,

To solve this problem, we can use the formula for compound interest:

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

Where:

A = the final amount

P = the initial amount (in this case, the number of Starbucks shops in 2005)

r = the annual interest rate (in this case, 6%)

n = the number of times interest is compounded per year (in this case, 1)

t = the number of years

Plugging in the values we get:

\(A = 7,302(1 + 0.06/1)^{1*15}\)

Simplifying this we get:

A = 7,302(1.06)¹⁵

= $21,740.53

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Answer:

The maximum value is 27.

The maximum value occurs at the point (⁹/₄, 0).

Step-by-step explanation:

Linear programming is a mathematical technique that aims to find the minimum and/or maximum value of a linear objective function while satisfying a set of linear constraints.

Given linear objective function:

\(z=12x+y\)

Given linear constraints:

\(\begin{cases}6x+3y\leq18\\8x+y\leq18\\x \geq 0\\y \geq 0\end{cases}\)

Begin by graphing the inequalities.

Rearrange the first two inequalities to isolate y:

\(\begin{aligned}6x+3y&\leq18\\3y&\leq-6x+18\\y&\leq-2x+6\end{aligned}\)      

\(\begin{aligned}8x+y&\leq18\\y&\leq-8x+18\\\phantom{www}\\\end{aligned}\)

As the sign of both rewritten inequalities is "less than or equal to", draw solid lines for y = -2x + 6 and y = -8x + 18, and shade below the lines.

For x ≥ 0, draw a solid line along the y-axis and shade to the right of the line. For y ≥ 0, draw a solid line along the x-axis and shade above the line.

The feasible region is the area where the shaded regions overlap.

The corner points of a feasible region are the points of intersection of the constraints. These points define the boundaries of the feasible region and represent the potential optimal solutions of the problem.

From observation of the graph (attached), the coordinates of the corner points are:

To find the minimum and maximum values of the given objective function (subject to the given constraints), evaluate the objective function z = 12x + y at each of the corner points.

\(\begin{aligned}(0,0) \implies z&=12(0)+0\\z&=0+0\\z&=0\end{aligned}\)

\(\begin{aligned}(0,6) \implies z&=12(0)+6\\z&=0+6\\z&=6\end{aligned}\)

\(\begin{aligned}(2,2) \implies z&=12(2)+2\\z&=24+2\\z&=26\end{aligned}\)

\(\begin{aligned}\left(\frac{9}{4},0\right) \implies z&=12\left(\frac{9}{4}\right)+0\\z&=27+0\\z&=27\end{aligned}\)

Therefore:

So, the maximum value is 27, and it occurs at the point (⁹/₄, 0).

According to the information we can infer that the parallel line would be AD or CF. Additionally, the perpendicular lines would be CB or FE.

To identify the parallel lines we must look at the figure and find the lines that have the same direction as the line BE and that would never intersect with the segment BE, according to the above, we can infer that the parallel lines would be:

On the other hand, the lines perpendicular to CF would be CB or FE because they make 90° angles with segment CF. Additionally, the face that would be parallel to ABC is DEF.

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The equation which describes the relationship between the side length and shaded area of the quilt is y=0.5x²

Side length, x = 1,3,4,5,8

Shaded Area, y = 0.5, 4.5, 8, 12.5, 32

The relationship can be modeled as a quadratic function. Using a graphing calculator for the quadratic function written in the form y = ax² + bx + c

a = 0.5 ; b = 0 ; c = 0

Therefore, the quadratic function can be written as y = 0.5x²

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The difference in the addition of both fractions is that they have different lowest common multiples.

We want to add the fraction expression given as:

¹/₂ + ¹/₄

Taking the Lowest common multiple of 8, we have:

(4 + 2)/8 = 6/8

However, for the second fraction expression, we have:

¹/₂ + ¹/₃

Taking the lowest common multiple which is 6, we have:

(3 + 2)/6 = 5/6

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Answer:

B. 3x = 6

Step-by-step explanation:

The left side of a hanger is on the left side of the equation, and the right side of a hanger is on the right side of the equation.

There are 3 x's on the left side, so the left side is 3x

The right side shows 6 unit boxes, so the right side is (1 * 6), or 6.

As a result, the equation is 3x = 6, which is B.

The area of the segment is 9( π-2) units²

The area of a figure is the number of unit squares that cover the surface of a closed figure.

A segment is the area occupied by a chord and an arc. A segment can be a major segment or minor segment.

Area of segment = area of sector - area of triangle

area of sector = 90/360 × πr²

= 1/4 × π × 36

= 9π

area of triangle = 1/2bh

= 1/2 × 6²

= 18

area of segment = 9π -18

= 9( π -2) units²

therefore the area of the segment is 9(π-2) units²

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Answer:

\(P(X = x) = C_{8,x}.(0.4)^{x}.(0.6)^{8-x}\)

In which x is the number of which we want to find the probability.

Step-by-step explanation:

For each traffic fatality, there are only two possible outcomes. EIther it involved an intoxicated or alcohol-impaired driver or nonoccupant, or it didn't. Traffic fatalities are independent of other traffic fatalities, which means that the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

And p is the probability of X happening.

The probability is .40 that a traffic fatality involves an intoxication or alcohol-impaired driver or nonoccupant.

This means that \(p = 0.4\)

Eight traffic fatalities

This means that \(n = 8\)

Find the probability that the number which involve an intoxicated or alcohol-impaired driver or nonoccupant is

This is P(X = x), in which x is the number of which we want to find the probability. So

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = x) = C_{8,x}.(0.4)^{x}.(0.6)^{8-x}\)

Based on the binomial probability principle, the probability involving the number of non-occupant is \( P(x = k) = 8Ck \times 0.40^{k} \times 0.60^{8-k} \)

Let :

Using the binomial probability relation :

Substituting the values into the relation :

\( P(x = k) = nCk \times 0.40^{k} \times 0.60^{n-k} \)

Hence, the required probability expression is \( P(x = k) = 8Ck \times 0.40^{k} \times 0.60^{8-k} \)

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Answer:

24 meters cubed

HOPE THIS HELPS

- Todo ❤️

Step-by-step explanation:

V=Bh

V=6*4

V=24

Answer:

Volume = 24 m³

Units is either cubic meters, m³ or something like that

BTW, am I a pro hacker know?

Step-by-step explanation:

Volume = B x h

Base = B = 6 m²

Height = h = 4 m

Volume = 6 m² * 4 m

Volume = 24 m³

-Chetan K (aka pro hacker)

It would be wiser for the couple to stay in the old apartment and save $1400.

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

Explanation:

If they stay until the end of the lease, total money that will be paid out is $1000 x 6 = $6000,

If they leave, they'll have to forgo $1000.

If they move to their new apartment, they'll pay $900 x 6 = $5400

total expenditure if they move to the new place at the end of the six months period will be, the $1000 that will not be refunded back to them on the old apartment, plus this new $5600 for six month's rent in this new apartment, and that will be a total of $6400.

It would be wiser for the couple to stay in the old apartment and save $1400.

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Transformation is the process of changing one form or structure into another. Here are some key points about transformation:

• Physical transformations involve changing the physical properties of an object, like shape, size, state of matter, etc. Some examples are cutting, bending, melting, freezing, dissolving, combining substances, etc.

• Chemical transformations involve changing the chemical composition of a substance, forming new substances with different properties. Some examples are chemical reactions that produce new compounds, oxidation reactions, decomposition, synthesis reactions, etc.

• Biological transformations occur within living organisms through processes like development, growth, metabolism, adaptation, and evolution. These changes occur over time and at the cellular or molecular level.

• Mathematical transformations involve applying operations or functions to mathematical objects like numbers, vectors, matrices, etc. to produce new outputs. Common transformations include translation, rotation, reflection, scaling, and projection.

• Information transformations occur when data is manipulated, organized, or changed. Examples are data compression, encryption, encoding, classification, and filtering of information.

• Conceptual transformations refer to changes in a person's knowledge, understanding, perspectives, beliefs, attitudes, or behavior. Things like experiences, education, and realizations can cause conceptual transformations.

The key aspects of any transformation are that there is an initial state or form that undergoes some change process resulting in an altered final state or form. There are often changes to properties, composition, structure, or relationships involved.

Hope this explanation of transformation helps! Let me know if you have any other questions.

Transformation can refer to a marked change in form, nature, or appearance. It can also refer to a process by which one figure, expression, or function is converted into another one of similar value.

Using the normal distribution, we have that:

a) The 80th percentile of small package weights at Company #1 is of 3.3 pounds.

b) 0.0122 = 1.22% of small packages at this shipping company require additional fees.

c) Due to the higher z-score, the 8.1 pound package at Company A is heavier relative to items shipped at the same company.

d) |Z| > 2, thus, it is an outlier.

Normal Probability Distribution

In a normal distribution with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

Item a:

\(Z = \frac{X - \mu}{\sigma}\)

\(0.84 = \frac{X - 2.3}{1.2}\)

\(X - 2.3 = 0.84(1.2)\)

\(X = 3.3\)

The 80th percentile of small package weights at Company #1 is of 3.3 pounds.

Item b:

This proportion is 1 subtracted by the p-value of Z when X = 5, thus:

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{5 - 2.3}{1.2}\)

\(Z = 2.25\)

\(Z = 2.25\) has a p-value of 0.9878.

1 - 0.9878 = 0.0122.

0.0122 = 1.22% of small packages at this shipping company require additional fees.

Item c:

The z-score for an 8.1 pound package at Company A is:

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{8.1 - 2.3}{1.2}\)

\(Z = 4.83\)

For Company 2, we have \(\mu = 266, \sigma = 10.7\).

For a 265 pound package, the z-score is:

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{265 - 266}{10.7}\)

\(Z = -0.09\)

Due to the higher z-score, the 8.1 pound package at Company A is heavier relative to items shipped at the same company.

Item d:

295 pounds, so \(X = 295\), and the z-score is:

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{295 - 266}{10.7}\)

\(Z = 2.71\)

|Z| > 2, thus, it is an outlier.

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Answer:

seconds

Step-by-step explanation:

Answer:

48s= number of scarves

Step-by-step explanation:

48 represents the price of scarf

Thank me later :)

Answer:

C

Step-by-step explanation:

trust me c is the correct answer

The slope field for the differential equation would be D . Graph D .

A slope field provides a pictorial representation of differential equations that displays the magnitude and direction of the derivative or slope for solution curves at various points in the plane .

The length of line segments represents the magnitude, while the direction indicates the sign of the slope.

The equation given is y = 2 y + x which means that the slope is positive. This is why we can tell that Graph D has the correct slope field as it goes up for positive.

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9514 1404 393

Answer:

  A) The graph is the quadrant of the coordinate plane that lies between the two lines and to the left of the point (-2 14/15, 1 1/5)

  B) no; it does not satisfy either inequality

Step-by-step explanation:

A) The boundary line defined by the first inequality is a dashed line with a slope of 3 and a y-intercept of 10. Shading is above the line (and to its left).

The boundary line defined by the second inequality is a dashed line with a slope of -3/4 and a y-intercept of -1. Shading is below the line (and to its left).

The two lines cross at the 2nd-quadrant point (-2 14/15, 1 1/5). The solution area is the area between the crossing lines and to the left of that point. Neither that point nor any point on either line is part of the solution area.

The solution area is the doubly-shaded area in the attached graph.

__

B) The first-quadrant point (8, 10) is not in the solution area, since the solution area is comprised of parts of quadrants 2 and 3 only.

We can see that (8, 10) will not satisfy either inequality:

  10 > 3(8) +10 . . . . not true

  10 < -3/4(8) -1 . . . . not true

a) the demand equation in the form of p = f(Q) is p = -10/3Q + 14533.33

b) when the price per unit of calculators is Rs 1650, approximately 3865 calculators are demanded.

c) when 4500 calculators are demanded, the price per unit should be approximately Rs 3010.

To find the demand equation in the form of p = f(Q), we need to determine the relationship between the price per unit (p) and the quantity demanded (Q) based on the given information.

Let's use the two data points provided:

Point 1: Price (p1) = Rs 1200, Quantity (Q1) = 4000

Point 2: Price (p2) = Rs 1500, Quantity (Q2) = 3000

First, we calculate the slope of the demand equation using the formula:

Slope = (Q2 - Q1) / (p2 - p1)

Substituting the values, we get:

Slope = (3000 - 4000) / (1500 - 1200) = -1000 / 300 = -10/3

Next, we use one of the data points and the slope to find the y-intercept (b). Let's use Point 1:

p1 = Rs 1200, Q1 = 4000

Using the equation of a straight line (y = mx + b), we can rearrange it to solve for b:

b = y - mx

b = 1200 - (-10/3)(4000) = 1200 + 40000/3 = 1200 + 13333.33 = 14533.33

Therefore, the demand equation in the form of p = f(Q) is:

p = -10/3Q + 14533.33

To find the number of calculators demanded (Q) when the price per unit is Rs 1650, we can rearrange the equation and solve for Q:

1650 = -10/3Q + 14533.33

-10/3Q = 1650 - 14533.33

-10/3Q = -12883.33

Q = (-12883.33) / (-10/3)

Q = 12883.33 * 3/10

Q ≈ 3865

Therefore, when the price per unit of calculators is Rs 1650, approximately 3865 calculators are demanded.

Now, let's determine the price per unit (p) when 4500 calculators are demanded. We rearrange the equation and solve for p:

4500 = -10/3Q + 14533.33

-10/3Q = 4500 - 14533.33

-10/3Q = -10033.33

Q = (-10033.33) / (-10/3)

Q = 10033.33 * 3/10

Q ≈ 3010

Therefore, when 4500 calculators are demanded, the price per unit should be approximately Rs 3010.

By using the slope-intercept form of a linear equation and the given data points, we can determine the demand equation and solve for various scenarios, including finding quantities demanded at specific prices and determining the appropriate price for a given quantity demanded.

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Answer:

C) 10

Step-by-step explanation:

hope it helps youuuuuu

Answer:

i got c) 10

Step-by-step explanation:

(11^2-9^2)*(1/2)^2

(121-81)

40*(1/2)^2

40*0.25

10

vwala can i have brainliest?

Answer:

Step-by-step explanation:

Volume = Bh

Turn the shape so the trapezoid is on the bottom/base

h=18   for overall shape

B = area of base, trapezoid

B = 1/2 (b₁ + b₂) h  

b₁ = 11

b₂ = 25

h = 24   for trapezoid

B = 1/2 (11 + 25)(24)

B = 432

V = Bh

V = (432)(18)

V= 7776 in³