$haA graph has time (years) on the x-axis and height (inches) on the y-axis. A line goes through points (2, 3) and (4, 6). The graph shows a linear relationship between the height and years of a plant’s growth. Find the rate of change. Select all that apply. The rate of change of a linear function is always the same. The rate of change of a linear function increases as the input increases. The rate of change from 2 years to 4 years on the graph is 1.5 inches per year. The rate of change from 0 years to 6 years on the graph is 1.5 inches per year.

The inequality c * x + y ≤ 57 can be used to find the number of cases (c) that Juaquin can purchase within his $57 budget.

Let's denote the cost of each cell phone case as $x and the cost of the charger as $y. Since Juaquin has a total of $57 to spend, the inequality can be written as follows:

c * x + y ≤ 57

In this inequality, c represents the number of cases Juaquin can purchase, and the left-hand side of the inequality represents the total cost of the cases and the charger combined.

The inequality states that the total cost of the cases (c * x) plus the cost of the charger (y) must be less than or equal to $57, as Juaquin has a budget of $57. If the total cost exceeds $57, Juaquin would not be able to afford the items.

To determine the maximum number of cases Juaquin can purchase, we need to solve the inequality for c. However, since we don't have specific values for x and y, we cannot find the exact number of cases Juaquin can purchase. The inequality provides a general representation of the relationship between the number of cases, their cost, and Juaquin's budget.

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Answer:

bellow the

Step-by-step explanation:

The hiker's resultant displacement can be calculated using vector addition. By considering the magnitudes and directions of the individual displacements, the resultant displacement can be determined.

The magnitude of the resultant displacement is approximately 3.8 km, rounded to the nearest tenth. The direction of the resultant displacement is approximately 7° south of west, rounded to the nearest whole degree.

To find the resultant displacement, we can break down the hiker's displacements into their respective components. The first displacement of 3.5 km at an angle of 55° south of west can be represented as -3.5 km westward and -3.5 km × sin(55°) = -2.9 km southward. The second displacement of 2.7 km at an angle of 16° east of south can be represented as +2.7 km southward and +2.7 km × sin(16°) = +0.7 km eastward.

To find the resultant displacement, we add the components in each direction separately. The westward components add up to -3.5 km, and the southward components add up to -2.9 km + 2.7 km = -0.2 km. Using the Pythagorean theorem, the magnitude of the resultant displacement is √((-3.5 km)² + (-0.2 km)²) ≈ 3.8 km (rounded to the nearest tenth).

To determine the direction of the resultant displacement, we can use trigonometry. The angle θ can be calculated as arctan((-0.2 km)/(-3.5 km)) ≈ 7°. Since the angle is measured south of west, the direction of the resultant displacement is approximately 7° south of west (rounded to the nearest whole degree).

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(a) If your entire portfolio is now composed of stock a and you can add some of only one stock to your portfolio, you would choose stock D of corr(a, d) = .45.

(b) No, the answer to (a) would not change.

(c) No, you would not change your answers to parts a and b if the T-Bill rate is 8%.

A- Since all stocks have the same expected rate of return and standard deviation, we choose the stock that will result in the lowest risk. This leads to the intuitive result that the desired addition would be the stock with the lowest correlation with Stock A, which is Stock D.
B- The answer to (a) would not change, at least as long as investors are not risk lovers.

C- Treasury Bills (T-bills) 1.3 Treasury bills or T-bills, which are money market instruments, are short-term debt instruments issued by the Government of India. Treasury bills are zero coupon securities and pay no interest.

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A- Since all stocks have the same expected rate of return and standard deviation, we choose the stock that will result in the lowest risk. This leads to the intuitive result that the desired addition would be the stock with the lowest correlation with Stock A, which is Stock D.

B- The answer to (a) would not change, at least as long as investors are not risk lovers.

C- Treasury Bills (T-bills) 1.3 Treasury bills or T-bills, which are money market instruments, are short-term debt instruments issued by the Government of India. Treasury bills are zero coupon securities and pay no interest.

The orthocenter of the ΔABC is ( -1,5 ).

In a right triangle, the orthocenter is the polygonal vertex of the right angle. When the triangle's vertices and orthocenter are joined, any point becomes the orthocenter of the other three points, according to Carnot (Wells 1991). These four locations thus form an orthocentric system.

Given the  co-ordinates A( -3,3 ), B( -1,7 ) and C( 3,3 ).

To find the orthocenter using below steps:

1. First, we find the equations of AB and BC.

The general form of a line is y = mx + b

where m is the slope and b is the y-intercept.

Using the formula of slope given \($m =\frac{y_2 - y_1}{x_2 - x_1}\)  , we will find the slope of AB and BC.

Now, slope of AB is m = (7-3/-1 + 3)  

i.e. m = (4/2) = 2

Putting this 'm' in the general form and using the point B(-1, 1), we get the y-intercept as,

y = mx + b

1 = 2 × (-1) + b

i.e. b = 3.

So, the equation of AB is y = 2x + 3.

Also, slope of BC is m=(3-7/3+1)  i.e. m=-4/4 i.e. m--1

Putting this 'm' in the general form and using the point B( -1,1 ), we get the y-intercept as,

y = mx + b i.e. 1 = (-1) × (-1) + b i.e. b = 0.

So, the equation of BC is y = -x.

2. We will find the slope of line perpendicular to AB and BC.

When two lines are perpendicular, then the product of their slopes is -1.

So, slope of line perpendicular to AB is \(m*2=-1\)  i.e. m = -1/2

So, slope of line perpendicular to BC is  i.e.\(m*-1=-1\) i.e. m = 1.

3. We will now find the equations of line perpendicular to AB and BC.

Using the slope of line perpendicular to AB m=-1/2 i.e.  and the point opposite to AB

i.e. C(3, 3), we get,

y = mx + b

i.e. \(3=-1/2*3+b\)  

i.e. b = 9/2

So, the equation of line perpendicular to AB is

\(y=-x/2+9/2\)

Again, using the slope of line perpendicular to BC i.e. m = 1 and the point opposite to BC

i.e. A( -3,3 ), we get,

y = mx + b

i.e. 3 = 1 × -3 + b

i.e. b = 6.

So, the equation of line perpendicular to BC is y = x+6

4. Finally, we will solve the obtained equations to find the value of (x, y).

As, we have y = x + 6 and  y = -x/2 + 9/2

This gives, y = -x/2 + 9/2 → x + 6

y = -x/2 + 9/2

simplifying the above equation, we get

2x + 12 = -x + 9

3x = -3

x = -1.

So, y = x + 6

simplifying the above equation, we get

y = -1 + 6

y = 5.

The value of x = -1 and y = 5.

Hence, the orthocenter of the ΔABC is ( -1,5 ).

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Answer:

16, 13, 5

Step-by-step explanation:

h(-3)=13-(-3)

h(-3)=13+3

h(-3)=16

h(0)=13-(0)

h(0)=13

h(8)=13-(8)

h(8)=5

Hope this helps.

Answer:

5 units

Step-by-step explanation:

create a point in (1,1) and a right angled triangle will be formed, you can then use distance formula and the distance from the first point to (1,1) will be 3 units and from second point to (1,1) will be 4 units and verify using pythagoras theorem

Answer:

11.5 foot (rounded to one decimal)

Step-by-step explanation:

x = 20×sin(35)

x ≈ 11.47153.. ≈ 11.5

Answered by GAUTHMATH

Answer:

3x - 14

to simplify just take off the parathas

You can't simplify because there are no parenthesis or another X I think that's the rule.

Answer:

D

Step-by-step explanation:

Answer:

zax is 31

Step-by-step explanation:

if his sister was 3 years older and born when the mom was 28 add 3 to 28 and you get 31 the age he was born thus this is the age he is today

Ratio is a simple mathematical term used for comparing two or more quantities that are measured in the same quantities. It shows how much of one thing there is compared to another thing.

How to determine this

One brand of lawn fertilizer consists of Nitrogen, Phosphorus and Potassium

Nitrogen, Phosphorus, and Potassium in ratio 3 :1 : 2 respectively

And the total fertilizer is 18 kg

Where Nitrogen = 3

Phosphorus = 1

Potassium = 2

When the total ratio = 3 + 1 + 2 = 6

To calculate the amount of Nitrogen

=3/6 * 18

= 3 *3

= 9 kg

To calculate the number of Phosphorus

= 1/6 * 18

= 1 * 3

= 3 kg

To calculate the amount of Potassium

= 2/6 *18

= 2 * 3

= 6 kg

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The number line is plotted on the graph below

A line plot is a graph that shows data as points or check marks above a number line, indicating the frequency of each value.

If we need to compare two different groups , a line chart does have one advantage for visualizing frequency distributions

It displays information as a series of data points called 'markers' connected by straight line segments

Given data ,

Let the number line be represented by graph A

Now , the points on the graph are

A = { 4 , -3 , 1 }

The opposites of the number points A is given by

A' = { -4 , 3 , -1 }

The values of the sets A and A' are plotted on the line plot graph

Hence , the line plot is solved

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Answer:

clockwise

Step-by-step explanation:

The triangle is rotated in a clockwise direction, as per the given conditions.

The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°

Here,
It seems to be questioned is incomplete, we assume that the direction of rotation that maps triangle BCD to triangle B’C’D’ on a coordinate plane from quadrant 2 to quadrant 1 is about the origin. As rotation from quadrat 2 to one about origin represents the clockwise direction.

Thus, the triangle is rotated in a clockwise direction, as per the given conditions.

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Answer:

540 minutes or 9 hours :)

Step-by-step explanation:

What I did is I multiplied 6 hours by 60 minutes. Or for the hours skip that step.

6x60=360       or     6/300=0.02

360/300=1.2    or     0.02x450=9

1.2 x450= 540  or         9 hours

540 minutes

540 minutes or 9 hours :D

Goodluck <3

Hope this helps!

We find that the approximation converges to 9.74679419, accurate to eight decimal places. So, the square root of 95, approximated using Newton's method, is 9.74679419.

Newton's method is a way to approximate the roots of a function. In this case, we want to approximate the square root of 95 correct to eight decimal places. To use Newton's method, we start with an initial guess and then apply the following formula repeatedly:
x1 = x0 - f(x0) / f'(x0)
where x0 is our initial guess, f(x) is the function we are trying to find the root of (in this case, f(x) = x^2 - 95), and f'(x) is the derivative of f(x) (which is 2x).
Let's start with an initial guess of 10:
x1 = 10 - (10^2 - 95) / (2 * 10) = 5.75
We can continue this process, plugging in our new guess into the formula each time, until we reach a value that is accurate to eight decimal places. After a few iterations, we get:
x8 = 9.74679434
This is our final answer, correct to eight decimal places.
Using Newton's method, we can approximate the square root of a number, such as 95, to eight decimal places. Newton's method is an iterative process that starts with an initial guess and refines the guess using the formula:
x1 = x0 - f(x0)/f'(x0)
For square root approximation, f(x) = x^2 - a, where a is the number we want to find the square root of (95 in this case), and f'(x) = 2x.
Let's start with an initial guess x0 = 9 (since 9^2 = 81 is close to 95). We can then perform the following iterations:
1. x1 = 9 - (9^2 - 95)/(2*9) ≈ 9.72222222
2. x2 = 9.72222222 - (9.72222222^2 - 95)/(2*9.72222222) ≈ 9.74679424
3. x3 = 9.74679424 - (9.74679424^2 - 95)/(2*9.74679424) ≈ 9.74679419
Continuing this process, we find that the approximation converges to 9.74679419, accurate to eight decimal places. So, the square root of 95, approximated using Newton's method, is 9.74679419.

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The statement says that you've triggered the Penalty APR so that it has now increased to 28.99%. What action triggered this? You failed to pay the minimum payment by the due date.

You failed to make the minimum payment by the due date. This is an action that can result in a message that "you've triggered the Penalty APR so that it has now climbed to 28.99%."

A charge APR is a charge that can be applied if you don't pay your bills on time. It may be set up so that future transactions may be subject to a penalty APR that is higher than the card's standard rate.

If the minimum payment was not made by the due date, Penalty APR would be applied.

But if the card also has a penalty APR and you trigger it, you will likely lose that promotional offer. Federal consumer protections that limit penalty APRs don't apply to small-business credit cards. That means issuers can be more punitive, such as applying penalty APRs sooner than 60 days after not making payments.

Therefore,

The statement says that you've triggered the Penalty APR so that it has now increased to 28.99%. What action triggered this? You failed to pay the minimum payment by the due date.

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9514 1404 393

Answer:

  x = 3

Step-by-step explanation:

The equation can be rewritten to make use of the graphing calculator's ability to identify function zeros:

  x(x -2)(x +3) -18 = 0

The attached shows x = 3 is the only real solution.

_____

We're not sure what "system of equations" is intended. Perhaps it is ...

  y = 18

  y = x(x -2)(x +3)

To create the expression we graphed, we effectively subtracted the first equation from the second.

Answer:

The value of X is 75°

<EFB +105°=180° (Being straight line)

<EFB=180-105

<EFB= 75°

X = <EFB = 75°. (corresponding angle)

Step 1

Remove full rotations of 360 degrees until the angle is between 0 and 360 degrees

Step 2

Hence, we find sin 120 using reference angles in the first quadrant

Therefore,

Answer sin 480 =(√3)/2

If 250 Bell laptops are to be produced, then 250 hard drives will be required.

According to the product structure tree for Bell laptops on page 4 of the lecture materials on Master Scheduling and Bill of Materials, the total number of hard drives (01-hdrive) required to produce 250 Bell laptops is 250.Each Bell laptop requires one hard drive to be produced.

Therefore, if 250 Bell laptops are to be produced, then 250 hard drives will be required.

This can be seen in the product structure tree where the hard drive is a sub-assembly of the Bell laptop, and each Bell laptop requires exactly one hard drive. The product structure tree also shows that each hard drive requires a number of components to be produced, such as a hard drive case, a circuit board, and a motor.

These components are also shown as sub-assemblies of the hard drive.

Overall, the product structure tree is a useful tool for understanding the relationships between the components and sub-assemblies that are required to produce a finished product. It provides a detailed breakdown of the product structure, which is essential for effective production planning and scheduling.

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Answer:

x² - 9

Step-by-step explanation:

   (x + 3)(x - 3)

= x(x - 3) + 3(x - 3)     Distributive  property

= x² - 3x + 3x - 9

= x² +( -3x + 3x) - 9       Associative

= x² + 0x - 9                   Addition    

= x² - 9                        

9514 1404 393

Answer:

  x = 2

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relations between trig functions and angle.

  Tan = Opposite/Adjacent

  tan(θ) = y/x

  Sin = Opposite/Hypotenuse

  sin(θ) = y/4

The given relation is ...

  tan(θ) = 2·sin(θ)

  y/x = 2(y/4)

  2 = x . . . . . . . multiply by (2x/y)

_____

Additional comment

Then the angle can be found from the relation ...

  Cos = Adjacent/Hypotenuse

  cos(θ) = x/4 = 2/4 = 1/2

  θ = arccos(1/2) = 60°

and the value of y is ...

  y = 4·sin(60°) = 2√3

Find the common denominator (Lower number on a fraction)

Simplest way is 5x7. 5x7=35

Make it imporper: 13/5 and 3/7

Common denominator: 91/35 and 15/35

106/35.

Mixed form:  3 1/35

Brainliest and a heart would be the best, thank you.

Answer:

106/35 or 3 and 1/35 (depending on if the answer should be a mixed number or improper fraction)

Step-by-step explanation:

2 3/5 + 3/7

to add, you first convert to improper fractions by multiplying the denominator by the whole number and adding that product to the numerator

5*2=10 and 10+3=13 so the first fraction is now 13/5

the problem is now 13/5+3/7

when adding fractions the denominator needs to be the same. To find the least common multiple (or LCM) or a number you take the number's prime factorization and multiply together the largest number of each prime together. However, since these numbers are prime this is unnecessary and we can just multiply them. When multiplying to change the denominator or numerator you must always multiply the opposite side by the same number.  This is because a number over the same number equals one and thus you are altering the form without altering the intrinsic numerical value associated with it. For example, you would multiply 13/5 * 7/7 and get 91/35

Next we would multiply 3/7 * 5/5 because 5 is the number that would make the denominator of this fraction also equal 35 and get 15/35

We now have the equation 91/35 + 15/35

When adding the denominator stays the same and you add the numerators which would produce 106/35

We can convert this to a mixed number by seeing how many times 35 can go into 106 completely.

35 goes into 106 3 times with a leftover of 1 so the mixed version would be 3 and 1/35

They must sample 385 subscribers to obtained this interval.

What do you mean by sample?

An outcome of a random experiment is a sample. A random variable is sampled when we choose one particular value from its range of potential values.

According to the given question,

We have:

95% confidence interval for z-score is  1.96

Using this formula to find the number of  subscribers  they must sample to obtain this interval

n≥ (zσ/2 ÷ 2ME)²

Where:

n= Sample

zσ = Z-score

ME = margin of error

Let put in the formula,

n≥ [1.96 / 2(0.05)]²

n≥ [1.96 / 0.1]²

= (19.6)²

= 384.16

=385 (Rounded)

Therefore, they must sample 385 subscribers to obtained this interval.

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Answer:

5

Step-by-step explanation:

8 = y + 3

5 + 3 = 8

Therefore y = 5

Answer:

y = 5

8=y+3

8-3=y+3-3

5=y

hope it's helpful ❤❤❤❤

THANK YOU.

any nonzero vector in R^3 can be an eigenvector of T with eigenvalue λ = -1. For example, the vector (1, 0, 0) is an eigenvector of T with eigenvalue λ = -1, since T sends it to its negative (-1, 0, 0). Similarly, (0, 1, 0) and (0, 0, 1) are also eigenvectors of T with eigenvalue λ = -1.

To find the matrix for the linear transformation T that reflects all vectors in R^3 through the xy plane, we first need to determine how T affects the standard basis vectors.

T sends the vector (1, 0, 0) to (-1, 0, 0), since reflecting across the xy-plane negates the z-coordinate. Similarly, T sends (0, 1, 0) to (0, -1, 0), and (0, 0, 1) to (0, 0, -1). Therefore, the matrix for T with respect to the standard basis is:

[T] = [ -1  0  0 ]

     [  0 -1  0 ]

     [  0  0 -1 ]

To find the eigenvalues and eigenvectors of T, we can solve the characteristic equation:

det([T] - λ[I]) = 0

where I is the 3x3 identity matrix. Substituting the matrix for T and expanding the determinant, we get:

det([T] - λ[I]) = det([ -1-λ   0     0   ])

                 det([  0    -1-λ   0   ])

                 det([  0     0   -1-λ ])

               = (-1-λ)(-1-λ)(-1-λ)

               = -(λ+1)^3

Therefore, the only eigenvalue of T is λ = -1, and we need to find its eigenvectors. To do this, we need to solve the system of equations:

([T] - (-1)[I])v = 0

Substituting the matrix for T and the eigenvalue λ = -1, we get:

[   0    0    0 ][x]   [0]

[   0    0    0 ][y] = [0]

[   0    0    0 ][z]   [0]

This system of equations has a rank of 0, which means that there are infinitely many solutions.

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Answer:

Step-by-step explanation:

interval in mathematics stands for a set of real numbers,

denoted by [a,b] where a and b are the starting and ending real numbers both inclusive respectively.

thus, interval [a,b] is the set of real numbers starting from a to b both are real numbers and are included.

The fraction that Brian can iron in a minute is 5/81.

A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. It should be noted that in a simple fraction, the numerator as well as the denominator are both integers. On the other hand, a fraction appears in the numerator or the denominator of a complex fraction.

Here, set up a proportion (shirt ironed/minutes = shirt ironed/minutes). I'll convert 3 3/5 to an improper fraction as well to set it up.

(2/9) / (18/5) = x / 1

Cross multiply

2/9 = (18/5)x

Multiply both sides by 5/81 to solve for x.

x = 10/162

In this case, it should be noted that we can reduce 10/162 to the lowest term. This will be 5/81

The clothes that Brian can iron will be 5/81.

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Complete question

Brian irons 2/9 of his shirt in 3 3/5 minutes. If Brian irons at a constant speed how much of his shirt does he iron in a minute