Complete the following steps to plot an image of your own choosing (a) Create a list containing a set of ordered pairs needed to create your image. Name the list mylist. Be sure to list the points in the order in which they will be connected together. The created list should begin and end with (0,0) in order to connect the last point back to the first point. (b) Use the command HGMatrix to convert your matrix into a matrix and assign this matrix the name mylistmat and then use the Plotimage command to plot the corresponding image.

Answer:

Step-by-step explanation:

by making the length an inequality x height will be 1.5x

Volume=1/3BA xh

X×X×1.5X 1/3=2304

0.5x3=2304

X³=2304÷0.5

X³=4608

X=³√4608

X=16.64cm

H=16.64x1.5=24.96cm

The height of the square pyramid is equal to 24.96 cm.

A square pyramid in geometry is a pyramid with a square base. A right square pyramid is one in which the peak is perpendicular to and above the square's centre.

Given that the height of a square pyramid is one-half the length of each side. The volume of the pyramid is 2,304 cubic inches.

The height of the square pyramid will be calculated as,

Volume=1/3BA xh

X×X×1.5X 1/3=2304

0.5x3=2304

X³=2304÷0.5

X³=4608

X=³√4608

X=16.64cm

H=16.64x1.5=24.96 cm

Therefore, the height of the square pyramid is equal to 24.96 cm.

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Answer:

3.08 x 10^-3

Step-by-step explanation:

when putting into  scientific notation, you must make it to where there is one number to the left of the decimal. If you move the decimal left, it equals a negative power, if you move it right, it equals a positive power.

A sequence of transformation that would move ΔABC onto ΔDEF is: D. a dilation by a scale factor of 1/2, centered at the origin, followed by a 90° clockwise rotation about the origin.

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

In this scenario an exercise, we would dilate the coordinates of the pre-image by applying a scale factor of 1/2 that is centered at the origin as follows:

Ordered pair B (-4, 2) → Ordered pair B' (-4 × 1/2, 2 × 1/2) = Ordered pair B' (-2, 1).

In Mathematics and Geometry, a rotation can be defined as a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction;

(x, y)                               →            (y, -x)

Ordered pair B' (-2, 1)   →          E (1, 2)

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Answer:

-59

Step-by-step explanation:

use pemdas

1+10-70

11-70

-59

Answer:

10 months

Step-by-step explanation:

Step one

Given

Chuck has $500

Chuckle wants to save $100 monthly

Let the number of months be x

And the total be y

So

Y=500+100x--------1

Holy has $500

Chuckle wants to save $500 monthly

Let the number of months be x

And the total be y

So

Y=1000+50x--------2

Equate 1 and 2

500+100x=1000+50x

1000-500=100x-50x

500=50x

x=500/50

x=10

Answer:

The slope of the line is  \(-\frac{1}{7}\)

Step-by-step explanation:

The rule of the slope of a line which passes through points

(x1, y1) and (x2, y2) is

∵ The line passes through points (19, 8) and (-2, 11)

∴ x1 = 19 and x2 = -2

∴ y1 = 8 and y2 = 11

→ Use the rule above to find the slope of the line

∵ \(m=\frac{11-8}{-2-19}=\frac{3}{-21}\)

→ Simplify the fraction by divide up and down by 3

∴ \(m=-\frac{1}{7}\)

∴ The slope of the line is  \(-\frac{1}{7}\)

The diameter of the ball is approximately 16.67 meters.

To find the diameter of the ball, we can use the relationship between the distance traveled and the number of revolutions.

The circumference of a circle is given by the formula C = πd, where C is the circumference and d is the diameter.

Given that the ball rolls a distance of 3.5 meters and makes 15.0 revolutions, we can calculate the circumference of the path it travels:

C = 3.5 m * 15.0 = 52.5 m

Since each revolution covers the circumference of the ball, we have C = πd. Plugging in the known value for C, we can solve for the diameter (d):

52.5 m = πd

Dividing both sides of the equation by π, we get:

d = 52.5 m / π

Using a calculator, we can evaluate this expression:

d ≈ 16.67 meters

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The orthogonal trajectories of a family of curves are a new set of curves that intersect the original curves at right angles. To find the orthogonal trajectories of the family of ellipses given by the equation 2x^2 y^2, follow these steps:

Differentiate the equation of the family of ellipses with respect to x or y (whichever is more convenient). In this case, let's differentiate with respect to y: d/dy (2x^2 y^2) = 4x^2y Find the slope of the tangent line to the family of ellipses at any given point by setting the derivative equal to -1 divided by the slope of the tangent line: 4x^2y = -1/m where m represents the slope of the tangent line.

Solve the resulting equation for y in terms of x to obtain the equation of the orthogonal trajectories: y = -1/(4x^2m) By following these steps, you can find the equation of the orthogonal trajectories of the family of ellipses. Differentiate the equation of the family of ellipses with respect to x or y (whichever is more convenient).

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The probability that each group includes an undergraduate student is approximately 0.565 or 56.5%. This can be determined by calculating the favorable outcomes and dividing it by possible outcomes.

First, let's consider the number of ways to select one undergraduate student from the three available. This can be done in 3 ways.

Next, for each selected undergraduate student, we need to select three more students from the remaining 11 students (9 graduate students and 2 remaining undergraduate students). This can be done in (11 choose 3) ways.

To calculate the total number of possible outcomes, we need to select three groups of 4 from the 12 students, which can be done in (12 choose 4) * (8 choose 4) * (4 choose 4) ways.

Therefore, the probability can be calculated as (3 * (11 choose 3)) / ((12 choose 4) * (8 choose 4) * (4 choose 4)).

Performing the calculations, the probability that each group includes an undergraduate student is approximately 0.565 or 56.5%.

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The estimated crop yield from the simulation is 443 (option b).

To estimate the crop yield from the given random numbers, we need to assign a specific meaning to each random number. Let's assume that each random number represents the crop yield for a particular year.

Given random numbers: 37, 23, 92, 01, 69, 50, 72, 12, 46, 81

To find the estimated crop yield, we sum up all the random numbers:

37 + 23 + 92 + 01 + 69 + 50 + 72 + 12 + 46 + 81 = 443

Therefore, the estimated crop yield from the simulation is 443. The correct option is b.

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Answer: 18,086.4 cubic units

Step-by-step explanation:

the radius squared: 3×3.14×4²=150.72.

If you want to make 120 candles, multiply that number by 120: 150.72×120=18086.4.

The probability that the amount of time Gary takes to assist the next customer is:

To solve this problem, assume that the time it takes Gary to assist a customer follows an exponential distribution with a rate parameter λ = 1/3 customers per minute (since he assists three customers per hour on average).

a) To determine the probability that the time is between 6 and 12 minutes, calculate the cumulative distribution function (CDF) of the exponential distribution at t = 12 and subtract the CDF at t = 6.

P(6 < X < 12) = F(12) - F(6) = (1 - exp(-λ × 12)) - (1 - exp(-λ × 6))

Substituting λ = 1/3:

P(6 < X < 12) = (1 - exp(-(1/3) × 12)) - (1 - exp(-(1/3) × 6))

= 0.4168.

b) To determine the probability that the time is between 26 and 35 minutes, use the same approach:

P(26 < X < 35) = F(35) - F(26) = (1 - exp(-λ × 35)) - (1 - exp(-λ × 26))

Substituting λ = 1/3:

P(26 < X < 35) = (1 - exp(-(1/3) × 35)) - (1 - exp(-(1/3) × 26))

= 0.0404.

c) To determine the probability that the time is either less than 14 minutes or greater than 24 minutes, calculate the complementary probabilities:

P(X < 14) = 1 - exp(-λ × 14)

P(X > 24) = 1 - F(24) = 1 - (1 - exp(-λ × 24))

Substituting λ = 1/3:

P(X < 14) = 1 - exp(-(1/3) × 14)

P(X > 24) = 1 - (1 - exp(-(1/3) × 24))

= 0.6032

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Answer:

5x⁴

Step-by-step explanation:

10x⁸÷2x⁴=

5x⁴

To find the transitive closure of the relation R = {(1,2), (1,4), (2,3), (3,1), (4,2)} on the set (1, 2, 3, 4)
The transitive closure of R is:
{(1,2), (1,4), (2,3), (3,1), (4,2), (1,3), (2,1), (3,2), (3,4), (4,3)}

1. Begin with the original relation R.
2. For each pair of ordered pairs in R, if the second element of the first pair matches the first element of the second pair, add a new ordered pair with the first element of the first pair and the second element of the second pair.
3. Continue until no more new ordered pairs can be added.

Applying these steps, we get:

- From (1,2) and (2,3), we add (1,3).
- From (1,4) and (4,2), we add (1,2) (which is already in R).
- From (2,3) and (3,1),we add (2,1).
- From (3,1) and (1,2), we add (3,2).
- From (3,1) and (1,4), we add (3,4).
- From (4,2) and (2,3), we add (4,3).

The transitive closure of R is:
{(1,2), (1,4), (2,3), (3,1), (4,2), (1,3), (2,1), (3,2), (3,4), (4,3)}

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An equation to represent the value of the car after 1 year is P(t) = 80,000(1 - 0.25)¹.

An equation to represent the value of the car after t years is P(t) = 80,000(1 - 0.25)^t.

Generally speaking, a physical asset that loses its value at specific period of time represent an exponential decay. Therefore, a mathematical model for any physical asset (car) that decreases by r percent per unit of time is an exponential equation of this form:

P(t) = I(1 - r)^t

Where:

Note: 1/4 is equal to 0.25.

For a car that loses 1/4 of its value annually, after 1 year its value is given by;

P(t) = 80,000(1 - 1/4)^1

P(t) = 80,000(1 - 0.25)¹

For a car that loses 1/4 of its value annually, after t year its value is given by;

P(t) = 80,000(1 - 0.25)^t

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Answer:

i know arts

Step-by-step explanation:

Answer:

using the formula the answer is 3/4

Answer:

Based on the information given the percent of bottle of orange juice is water is 75%.

Using this formula

Percentage=Ounces of water/Ounce bottle of orange juice

Where:

Ounces of water=48 ounces

Ounce bottle of orange juice=64 ounce

Let plug in the formula

Percentage=48/64

Percentage=0.75×100

Percentage=75%

Inconclusion the percent of bottle of orange juice is water is 75%.

Answer:

75%

Step-by-step explanation:

I just did it on iready

A Type I error would result in rejecting a true null hypothesis. This means the company would believe the humidity level is more than 3%, when in fact it is not more than 3%.

Here, we have,

A Type I error would result in rejecting a true null hypothesis. This means the company would believe the humidity level is more than 3%, when in fact it is not more than 3%.

H₀: The humidity level absorbed is 3%, and

Hₐ: The humidity level absorbed is more than 3%.

A Type I error would result in rejecting a true null hypothesis.

This means the company would believe the humidity level is more than 3%, when in fact it is not more than 3% and correctly functioning components will be destroyed at great expense to the company.

In statistics, a Type I error is a false positive conclusion, while a Type II error is a false negative conclusion.

Hence, A Type I error would result in rejecting a true null hypothesis. This means the company would believe the humidity level is more than 3%, when in fact it is not more than 3%.

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Answer:

$43.4

Step-by-step explanation:

Let's say x is the cost per kilgram

30x = 93

x = 3.1

14x = 43.4

Answer:

12 cars per day

Step-by-step explanation:

The total surface area is 640.56 in².

We have,

The TSA (Total Surface Area) of a cone is given by the formula:

TSA = πr² + πrℓ

Now,

We see that,

There are two cones so we find the TSA for both the cones and add them up to get the TSA.

So,

Cone 1:

r = 6 in

l² = r² + h²

l² = 36 + 64

l² = 100

l = 10

So,

TSA = πr² + πrℓ

= 3.14 x 36 + 3.14 x 6 x 10

= 113.04 + 188.4

= 301.44 in²

Cone 2:

r = 6 in

l = 12 in

TSA = πr² + πrℓ

= 3.14 x 6 x 6 + 3.14 x 6 x 12

= 113.04 + 226.08

= 339.12 in²

Now,

Total surface area.

= 301.44 + 339.12

= 640.56 in²

Thus,

The total surface area is 640.56 in².

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An engineer is building a model of SheiKra which is 200 feet high and wants the model to be about 32 inches high. To find the appropriate scale for the model, we can use the following formula:

Scale = (model height/actual height) x 12We know that the actual height of SheiKra is 200 feet, and the engineer wants the model to be 32 inches high. Therefore, the scale for the model is:

Scale = (32/200) x 12 = 1.92We can round this to the nearest whole number, which gives us a scale of 2.The loop height of the model can be found by multiplying the actual loop height by the scale.

The actual loop height of SheiKra is approximately 138 feet. Therefore, the loop height of the model is:Loop height = 138 x 2 = 276 inches or 23 feet.

This means that the engineer needs to make the loop of the model approximately 23 feet high to maintain the scale of the model.

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Answer:

12x^3 + 19x^2 + x - 5

Step-by-step explanation:

To solve this, I set up the problem like this:

(3x^2 + x - 1)(4x + 5)

Now, just distribute everything from the first set of ( ) to the second set of ( ). Here's what you should have when you do that:

12x^3 + 15x^2 + 4x^2 + 5x - 4x - 5

Now, you would just combine like terms, which would get you to the final answer.

Hope this helps!

12x³ + 19x² + x -5

Polynomials are expressions that have multiple terms.

Breaking Apart Polynomials

When multiplying by a polynomial, we can break apart one of the polynomials, and multiply by each term individually. This means to multiply 3x² + x - 1 by 4x + 5, we can break apart the binomial into its separate terms. Instead of trying to multiply everything at once, we can multiply the trinomial by 4x and then multiply the trinomial by 5. Finally, add together the 2 products for the final answer.

Multiplying Polynomials

First, let's multiply the trinomial by 4x.

To find the product, multiply each term of the trinomial by 4x, then add them back together.

So, the first product is 12x³ + 4x²- 4x. Next, let's multiply 5(3x² + x - 1) the same way.

This means that the second product is 15x² + 5x - 5. Finally, let's add the 2 products together.

Then, simplify the expression.

This gives us our final answer. The product of 3x² + x - 1 and 4x + 5 is 12x³ + 19x² + x - 5.

If a tailor bought 5 yards of cloth he used  \(2\frac{3}{8}\) yards of cloth to make 1 pair of pants and he made 2 pairs, the length of the cloth that left is 1/4 yards

The total length of the cloth that he bought = 5 yards

The length of cloth that he used to make 1 pair of pants = \(2\frac{3}{8}\) yards

Convert the mixed fraction to the simple fraction

\(2\frac{3}{8}\) yards = 19/8 yards

The length of cloth required to make 2 pants = 2 × The length of cloth that he used to make 1 pair of pants

Substitute the values in the equation

= 2 × (19/8)

= 19/4 yards

The remaining cloth = The total length of the cloth that he bought - The length of cloth required to make 2 pants

= 5 - (19/4)

= 1/4  yards

Hence, the length of the cloth left is 1/4 yards

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Answer:

i was gonna be able to help you put i'm in middle school, i have short term memory and no clue what this is, you in high school? looks tough

Step-by-step explanation: