Explain how you found the diagonal length of the package.

All tables that represent proportional relationship between x and y are:

B. table B.

E. table E.

In Mathematics and Geometry, a proportional relationship is a type of relationship that produces equivalent ratios and it can be modeled or represented by the following mathematical equation:

y = kx

Where:

Next, we would determine the constant of proportionality (k) by using various data points as follows:

Constant of proportionality, k = y/x

Constant of proportionality, k = (20 - 15)/(10 - 5) = (5 - 4)/(1 - 0)

Constant of proportionality, k = 1.

Therefore, the required linear equation is given by;

y = kx

y = x

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

12 arrangements with 5 lilies and 3 daisies

Step-by-step explanation:

Answer A. x

Step-by-step explanation:

Answer:

5.5

Step-by-step explanation:

3 + 2x + 2 = 15

4 + 2x = 15

2x = 11

x = 5.5

The value of side z will be equal to 99.32 cm.

The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle are termed trigonometry.

Given that:-

In ΔXYZ, x = 27 cm, y = 79 cm and ∠Z=142°

So by applying the formula given below:-

z²   =   x²  +  y²  -  2xyCos(142)

z²   =   79²  +   27²   -  2 ( 79 x 27  x  Cos142  )

z    =    99.32  cm

Hence the value of side z will be equal to 99.32 cm.

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Given :

A particle moves in the xy plane starting from time = 0 second and position (1m, 2m) with a velocity of v=2i-4tj  .

To Find :

A. The vector position of the particle at any time t .

B. The acceleration of the particle at any time t .

Solution :

A )

Position of vector v is given by :

\(d=\int\limits {v} \, dt\\\\d=\int\limits {(2i-4tj)} \, dt \\\\d=(2t)i+\dfrac{4t^2}{2}j\\\\d=(2t)i+(2t^2)j\)

B )

Acceleration a is given by :

\(a=\dfrac{dv}{dt}\\\\a=\dfrac{2i-4tj}{dt}\\\\a=\dfrac{2i}{dt}-\dfrac{4tj}{dt}\\\\a=0-4j\\\\a=-4j\)

Hence , this is the required solution .

Answer:

a. 0.4772 = 47.72 %

b. 0.7605 = 76.05 %

Step-by-step explanation:

What we must do is calculate the z value for each value and thus find what percentage each represents and the subtraction would be the percentage between those two values.

We have that z is equal to:

z = (x - m) / (sd)

x is the value to evaluate, m the mean, sd the standard deviation

a. ind the least proportion of data falls between 70 and 80 If the histogram is bell shaped:

So for 70 copies we have:

z = (70 - 70) / (5)

z = 0

and this value represents 0.5

So for 80 copies we have:

z = (80 - 70) / (5)

z = 2

and this value represents 0.9772

p (70 > x > 80) = 0.9772 - 0.5

p (70 > x > 80) = 0.4772 = 47.72 %

b.  Find the proportion of data between 65 and 77

So for 65 copies we have:

z = (65 - 70) / (5)

z = -1

and this value represents 0.1587

So for 77 copies we have:

z = (77 - 70) / (5)

z = 1.4

and this value represents 0.9192

p (65 > x > 77) = 0.9192 - 0.1587

p (65 > x > 77)  = 0.7605 = 76.05 %

Answer:

B. y = -|x - 2| + 5

Step-by-step explanation:

Here the parent function is |x|. It is flipped and translated upward by 5 units and shifted to the right by 2 units.

y = - |x - 2| + 5

hope this helps!! p.s. i really need brainliest :)

Answer:

His son present age is 20 years

His present age is 40 years

Step-by-step explanation:

Assume that this son's age now is x years

∵ His son's age now = x years

∵ Ankit age is twice as old as his son

→ Twice means × 2

∴ Ankit age = 2 × x = 2x years

→ In for years means after 4 years (add)

∵ His age in four years = 2x + 4

→ 9 years ago means before 9 years (subtract)

∵ His son 9 years ago = x - 9

∵ In 4 years he will be four times as old as what his son was 9 years ago

→ That means 2x + 4 = 4 × (x - 9)

∴ 2x + 4 = 4(x - 9)

→ Let us solve the equation to find x

∴ 2x + 4 = 4(x) - 4(9)

∴ 2x + 4 = 4x - 36

→ Subtract 4 from both sides

∵ 2x + 4 - 4 = 4x - 36 - 4

∴ 2x = 4x - 40

→ Subtract 4x from both sides

∵ 2x - 4x = 4x - 4x - 40

∴ -2x = -40

→ Divide both sides by -2

∵ \(\frac{-2x}{-2}\) = \(\frac{-40}{-2}\)

∴ x = 20

∵ x represents the present age of his son

∴ His son present age is 20 years

∵ 2x represents his present age

∵ 2(20) = 40

∴ His present age is 40 years

The measure of the frame in feet of the length and width are 3.667 feet and 2.125 feet respectively.

The unitary method is a method in which you find the value of a unit and then the value of a required number of units.

Given here: The measure of the frame is 8.5 inches and 11 inches

a) if the frame is 4 papers long then we  have the length of the frame as

11×4=44 inches (since he lays the paper along the edge of frame)

We know 1 inch= 0.0833 foot

Thus      44 inches= 3.66667 foot

b) Again if he lays the paper along the short edge than the width of the frame is 3×8.5=25.5 inches

∴25.5 inches= 2.125 feet

Hence, The measure of the frame in feet of the length and width are 3.667 feet and 2.125 feet respectively.

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Answer:

f(x)  :  exponential growth

g(x);  exponential growth

h(x):  exponential growth

j(x):   exponential decay

Step-by-step explanation:

In an exponential function such as
\(m(x) = a \cdot b^x\)

the factor that determines whether it is a growth or decay function depends entirely on the value of b since x cannot be negative

If b > 1, it is a growth function

If b < 1 then it is a decay function

If b = 1 neither growth or decay function values are constant

In this context
f(x) has b = 2 > 1 . Hence it is a growth function
g(x) has b = 3 > 1 hence growth function
h(x) has be = 3/2 > 1; hence growth function
j(x) has be = 0.5 < 1 hence decay function

Answer:

O f(x)  :  exponential growth

O g(x);  exponential growth

O h(x):  exponential growth

O j(x):   exponential decay

Step-by-step explanation: I used to do this before :)

The cardinality of B and (A ⋂ C) will be n(B) = 3 and n(A ⋂ C) = 1.

In mathematics, cardinality refers to the size or number of elements in a set. It is a concept used to compare the sizes of sets, regardless of their specific elements. For instance, the cardinality of the set {1, 2, 3} is 3, while the cardinality of the set {2, 4, 6, 8, 10} is 5. Cardinality is typically denoted using vertical bars, such that |S| represents the cardinality of set S.

Now,

The symbol "n(S)" represents the cardinality

Given sets:

A = {1, 2, 3, 4, 5}

B = {1, 3, 5}

C = {4, 6}

To find the cardinality of the sets:

n(B) = 3

Set B has three elements: 1, 3, and 5.

n(A ⋂ C) = 1

The intersection of sets A and C is the set of elements that are in both A and C. Since A and C only have one element in common (the number 4), the cardinality of the intersection set A ⋂ C is 1. Therefore, n(A ⋂ C) = 1.

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Answer:

7881.75

Step-by-step explanation:

10,170x0.775

Answer:

7881.75

Step-by-step explanation:

The maximum area of the rectangle is A = 9 units²

The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle

Area of Rectangle = Length x Width

Given data ,

Let the function for area be f ( x )

where f ( x ) = - ( x - 3 )² + 9

Let the width of the rectangle be W.

The perimeter of a rectangle is given by:

Perimeter = 2(length + width) = 12 units

12 = 2(x + width)

Simplifying this equation, we get:

6 = x + width

width = 6 - x

Now, the area of the rectangle is given by:

Area = Length x Width

Substituting the value of width in terms of x, we get:

Area = x(6 - x)

Area of rectangle A = 6x - x²

This is a quadratic function of x, which has a maximum value at the vertex of the parabola. The vertex of the parabola can be found by completing the square or by using the formula:

x = -b/(2a)

In this case, a = -1 and b = 6, so we have:

x = -6/(2(-1)) = 3

Therefore, the maximum area of the rectangle occurs when x = 3, and the value of the maximum area is:

Area of rectangle A = 3(6 - 3) = 9 square units

Hence , area of rectangle is A = 9 units²

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Answer: 357.00%

Step-by-step explanation: MARKUP = SELLING PRICE – COST

Answer:

Step-by-step explanation:

Hello!

Tourists that visit Thailand are exposed to being bitten by a stray dog.

People that get bitten by a stray dog are at risk of getting rabies.

1) So you can determine two possible events that may happen:

A: The tourist got bitten by a stray dog.

B: The tourist got rabies.

2)

a.

"13 out of 1000 tourists get bit by a dog"

P(A)= 0.013

b.

"The percentage of tourists who have been bitten by a dog that get rabies is 15%" i.e. Given that the tourist was bitten by a dog, he got rabies. This is a conditional probability, is the probability of "B" given that "A" has already happened:

P(B|A)= 0.15

c.

"Ninety-nine percent of tourists who do not get bit by a dog will not get rabies."

The event "The tourist did not get bitten by a dog" is complementary to "A", so I'll symbolize it as: \(A^c\)

The event "The tourist did not get rabies" is complementary to the event "B", so I'll symbolize it as \(B^c\)

\(P(B^c|A^c)= 0.99\)

3) See attachment for table

P(A)= 0.013 ⇒ P(\(A^c\))= 1 - 0.013= 0.987

P(A∩B)= P(B|A)*P(A)= 0.15*0.013= 0.00195 = 0.002

P(A∩\(B^c\))= P(A) - P(A∩B)= 0.013-0.00195= 0.01105 = 0.011

\(P(B^c|A^c)= 0.99\)

P(\(B^c\)∩\(A^c\))= P(\(A^c\)) * \(P(B^c|A^c)\)= 0.987*0.99= 0.977

P(\(B^c\))= P(A∩\(B^c\)) + P(\(B^c\)∩\(A^c\))= 0.011 + 0.977= 0.988

P(B∩\(A^c\))= P(\(A^c\)) - P(\(B^c\)∩\(A^c\))= 0.987 - 0.977= 0.01

5) P(B)= P(A∩B) + P(B∩\(A^c\))= 0.002 + 0.01= 0.012

4) Attch

6)

P(A|\(B^c\))= P(A∩\(B^c\)) = 0.011   = 0.0111

                   P(\(B^c\))       0.988

I hope this helps!

Answer:

$15500

Step-by-step explanation:

10^3 x 12 = 12,000

10^2 x 35 = 3,500

12,000 + 3,500 = 15,500

The perimeter of a polygon is expressed as; the sum of all sides. In this case it is: 48cm.

It is to be noted that the image in this case is not supplied hence a supplementary image is used. See the attached. Based on this information,

To find the perimeter of the polygon, we need to find the lengths of the AB, BC, CD and DA

Since,  and to find the length, from circle theorem, "Two tangents from an external point to a circle are always equal in length".

From this statement we shall conclude,

Thus, the perimeter of the polygon is

AB + BC + CD + DA

= 11 +  13 + 13 + 11

= 48cm

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9514 1404 393

Answer:

  68%

Step-by-step explanation:

According to the empirical rule, 68% of the distribution lies within 1 standard deviation of the mean.

Here, the mean is 20 and the standard deviation is 5. The bounds on 1 standard deviation from the mean are 20±5 = [15, 25]. This is precisely the interval of interest.

  68% of students wait between 15 and 25 minutes

Given the expression:

After applying the distributive property, the expression will be:

and after applying the commutative property the expression will be:

So, the answer will be as shown in the following picture:

The given shape of the distribution is not symmetric.

Given that, a box plot shows donations in dollars to charity.

We need to describe the shape of the distribution.

Donations to Charity ($) =

20 40 60 80 100 120 140 160 180 200 220

so, as we can see,

The shape of the distribution is not symmetric since the lengths of each box and whisker are not the same. There is an outlier at 220.

Hence, the given shape of the distribution is not symmetric.

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Answer:

The 10th term is 50

Step-by-step explanation:

5(10) = 50

Answer:

The solution could begin at a point on the number line and extend in one direction. 3. In cases where there is no overlap between the two inequalities, there is no solution to the compound inequality.

Step-by-step explanation:

Answer:

\(|\frac{x}{y} |\)

Step-by-step explanation:

We are given the following expression: \(\sqrt\frac{x^3y^5}{xy^7}\), where x > 0 and y > 0.

We want to simplify it.

To do that, we can first simplify what is under the radical, then take the square root of what is left.

Recall that when simplifying exponents, we don't want any negative or non-integer radicals left.

To simplify what is under the radical, we can remember the rule where \(\frac{a^n}{a^m} = a^{n-m}\).

So, that means that \(\frac{x^3}{x} = x^2\) and \(\frac{y^5}{y^7} = y^{-2}\) .

Under the radical, we now have:

\(\sqrt{x^2y^{-2}}\)

Now, we take the square root of both exponents to get:

\(|xy^{-1}|\)

The reason why we need the absolute value signs is because we know that x > 0 and y > 0, but when we take the square root of of \(x^2\) and \(y^{-2}\) , the values of x and y can be either positive or negative, so by taking the absolute value, we ensure that the value is positive.

However, we aren't done yet; remember that we don't want any radicals to be negative, and the integer of y is negative.

Recall that if \(a^{-n}\), that is equal to \(\frac{1}{a^n}\).

So, by using that,

\(|x * \frac{1}{y} |\)

This can be simplified to:

\(|\frac{x}{y} |\)

Answer:

Step-by-step explanation:

It is hard to guess the coordinates of any points, because the graph doesn't go through any intersections of the grid.

Fortunately, I can tell that the axis of symmetry is x=2.

Put the equation into vertex form by completing the square.

axis of symmetry = b/2

b/2 = 2

b = 4

Answer: .025

Step-by-step explanation: we first have to find the distance between each term we divide 12/5 by 6 you have to change it into multiplication so you invert is to 12/5 times 1/6 you then get 12/30 you reduce that to become 2/5 if you want to test this to make sure it is right then you can. you then use a formula but I can't remember it so then you can just multiply it several times to find the answer. you get the answer by round from the thousandths

If ABCD is dilated by a scale factor of 3, the coordinate of B' would be (-6, 6).

In Geometry, dilation simply refers to a type of transformation which typically changes the size of a geometric object, but not its shape.

This ultimately implies that, the size of the geometric shape would be increased (stretched or enlarged) or decreased (compressed or reduced) based on the scale factor applied.

Next, we would apply a dilation to the coordinates of the pre-image by using a scale factor of 3 centered at the origin as follows:

Ordered pair B (-2, 2) → Ordered pair B' (-2 × 3, 2 × 3) = Ordered pair B' (-6, 6).

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The graph that represents the system of inequalities is the graph attached below.

The graph that would represent the system of inequalities must be two lines that intersect each other and have the exact slope and y-intercept of each of the lines on the graph.

Determine the slope and y-intercept of each of the inequalities, and also determine their boundary lines based on which inequality sign they have.

The line that represents the inequality, y ≥ ½x + 1, will be a solid line that has a slope of ½, and a y-intercept of 1.

The second line that represents the inequality, y ≥ -x - 2, will be a dashed line that has a slope of 1, and a y-intercept of -2.

Therefore, the graph that represents the features stated above for both lines is shown in the diagram below.

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Answer:

1)x=2. 2)x=5/2

Step-by-step explanation:

Steps in pic below