Plz help me, im stuck on this question, It says
Find the perimeter of the following rectangle,
Write your answer as a mixed number in simplist form,
Be sure to include the correct unit in your answer.

The data in a table indicate the exponential function f(x) = 3(2)x.The formula for an exponential function is: y = abx, where y and x are variables .

A mathematical function using the following formula is an exponential function: f (x) = an x. where x is a variable and an is a fixed amount known as the function's base. The transcendental number e, or roughly 2.71828, is the most often encountered exponential-function base. If your function has the formula y = a b x, where and are constants, a 0 and b > 0 and b 1, then it must be exponential. Your functions in quadratic equations were always to the second power. The exponent of exponential functions is a variable.

given

From the table, at point (0, 3):

3 = ab°  , a = 3

At point (2, 12):

12 = ab²

12 = 3b²

b² = 4

b = 2

f(x) = 3(2)ˣ

The data in a table indicate the exponential function f(x) = 3(2)x.

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The cost of laptop and cost of desktop are; $1,800 and $2,100 respectively.

A mathematical operation is a function that converts a set of zero or more input values (also called "b" or "arguments") into a defined output value.

From the question , we are given that the laptop costs $350 more than the desktop, therefore,

let x represent the cost of the laptop thus, x-350 will be the cost of the desktop .

The total finance charge of $388 is equal to 8% of the cost of the laptop and 7.5% of the cost of the desktop, we solve as;

388 = 0.08(x) + 0.075(x - 350)

252 = 0.08x + 0.075x - 26.25

278.75 = 0.155x

x = 278.75/0.155

x = 1798

Recall that the cost of desktop = x -350

therefore:

1,798- 350 = 1448

The cost of laptop = $1798

The cost of desktop = $1448

Thus, the cost of laptop and cost of desktop are; $1,800 and $2,100 respectively.

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Answer:

3

Step-by-step explanation:

3-9=-6 but absolute is 6

Answer:

k is 2, l=2√5, m=8√5

Step-by-step explanation:

Triangle MNO is half size of the triangle LON

The total surface area of the triangular prism is  225  in²

Remember that the area of a rectangle of length L and width W is:

A = L*W

And the area of a triangle of base B and height H is:

A = B*H/2

The areas of the 2 triangular faces is:

A = (4.5 in)*6in/2 = 13.5 in²

And the areas of the 3 rectangular faces are:

Then the total surface area is:

2*(13.5 in²) + 66 in² + 49.5 in² + 82.5 in² = 225  in²

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The measure of angle KLM is 46°. Therefore, option B is the correct answer.

Given that, LK bisects ∠JLM. If m∠JLK = (13x - 6)° and m∠KLM = (11x + 2)°.

Since, LK bisects ∠JLM

m∠JLK=m∠KLM

(13x - 6)°=(11x + 2)°

13x-11x=2+6

2x=8

x=4

Substitute x=4 in m∠KLM = (11x + 2)°, we get

m∠KLM = 46°

Therefore, option B is the correct answer.

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Answer:

25

Step-by-step explanation:

4x+4=6x-14

2x=18

x=9

2×9+7=25

Null Hypothesis is the random number generator produces numbers that are uniformly distributed from 0 to 1, with a population mean equal to 0.5 and Alternative Hypothesis is the random number generator does not produce numbers that are uniformly distributed from 0 to 1, with a population mean different from 0.5 and the test statistic is  0.696.

The null and alternative hypotheses for this significance test can be stated as follows:

Null Hypothesis (H0): The random number generator produces numbers that are uniformly distributed from 0 to 1, with a population mean (μ) equal to 0.5.

Alternative Hypothesis (Ha): The random number generator does not produce numbers that are uniformly distributed from 0 to 1, with a population mean (μ) different from 0.5.

To perform the significance test at the level α = 0.05, we can use a one-sample t-test. The test statistic can be calculated using the formula:

t = (X - μ) / (s / √n)

Where X is the sample mean, μ is the hypothesized population mean, s is the sample standard deviation, and n is the sample size.

In this case, X = 0.522, μ = 0.5, s = 0.316, and n = 100.

Calculating the test statistic:

t = (0.522 - 0.5) / (0.316 / √100)

= 0.022 / (0.316 / 10)

= 0.022 / 0.0316

≈ 0.696

With 99 degrees of freedom (n - 1 = 100 - 1 = 99), we can determine the critical t-value for a two-tailed test at α = 0.05. Checking a t-table or using statistical software, the critical t-value is approximately ±1.984.

Since the calculated test statistic (0.696) falls within the acceptance region (-1.984 to +1.984), we fail to reject the null hypothesis. This means that there is not enough evidence to conclude that the random number generator does not produce numbers uniformly distributed from 0 to 1 with a population mean different from 0.5.

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The object should be placed 64 cm away from the converging lens to produce a real image which is the same size as the object.

To produce a real image which is the same size as the object, the object should be placed at a distance of twice the focal length away from a converging lens. The formula that relates the distance of an object to the focal length of a converging lens is known as the lens equation. It is given as:1/f = 1/do + 1/di

Where f is the focal length, do is the distance of the object from the lens, and di is the distance of the image from the lens.

In this case, the focal length is 32 cm.

Let do be the distance of the object from the lens, and let di be the distance of the image from the lens. Since we want the image to be the same size as the object, the magnification (m) is 1.

Hence, using the magnification equation:

m = -di/do = 1di = -do

From the magnification equation, we can see that the image distance is the negative of the object distance. Substituting this into the lens equation, we get:1/32 = 1/do + 1/-do

Simplifying, we get:1/32 = 0do = 64 cm

Therefore, the object should be placed 64 cm away from the converging lens.

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Describe the relationshipt

The value of b is 6 times the value of a.

The equatio would be

The navy sector would be represented by a sector with a degree measure of approximately 97.2 degrees.

To find the degree measure for the sector for the navy in a circle graph, you need to calculate the percentage of the total number of personnel represented by the navy. To do this, you would add up the number of personnel in all branches of service, which is 500. Then, you would divide the number of navy personnel, which is 135, by 500 and multiply the result by 360 degrees (the total number of degrees in a circle).

So, the degree measure for the sector for the navy in a circle graph would be:

(135/500) x 360 = 97.2 degrees.

Therefore, the navy sector would be represented by a sector with a degree measure of approximately 97.2 degrees.

The degree measure for the sector for the navy in a circle graph can be found by calculating the percentage of the total number of personnel represented by the navy. To do this, you need to add up the number of personnel in all branches of service, which is 500. Then, you would divide the number of navy personnel, which is 135, by 500 and multiply the result by 360 degrees (the total number of degrees in a circle). The degree measure for the sector for the navy in a circle graph would be approximately 97.2 degrees.

The navy sector in the circle graph would be represented by a sector with a degree measure of approximately 97.2 degrees, which can be calculated by dividing the number of navy personnel by the total number of personnel and multiplying the result by 360 degrees.

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The rate of VAT on the vacuum cleaner is 15%

The given parameters are:

Selling price = Rs 12000

Discount = 12%

Amount Paid = 12144

The amount paid is calculated as:

Amount Paid = Selling Price * (1 - Discount) * (1 + VAT)

So, we have

12144 = 12000 * (1 - 12%) * (1 + VAT)

Evaluate the difference

12144 = 12000 * 0.88 * (1 + VAT)

Evaluate the product

12144 = 10560 * (1 + VAT)

Divide both sides by 10560

1.15 = (1 + VAT)

Subtract 1 from both sides

VAT = 0.15

Express as percentage

VAT = 15%

Hence, the rate of VAT on the vacuum cleaner is 15%

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The correct option is a) (-7, 3) which is the midpoint of the segment.

To find the midpoint of a segment, we need to use the midpoint formula:

Midpoint = ( \((x1 + x2)/2 , (y1 + y2)/2\) )

The midpoint of a segment is the point that lies exactly halfway between the two endpoints of the segment.

It is calculated using the midpoint formula, which involves finding the average of the x-coordinates and y-coordinates of the endpoints.

Using the coordinates given in the diagram, we can substitute them into the formula:

Midpoint = ( (-9 + 5)/2 , (3 + 3)/2 )

Midpoint = ( (-4)/2 , 6/2 )

Midpoint = ( -2 , 3 )

However, it means that if we were to draw a line segment connecting (-9, 3) and (5, 3), the midpoint would be exactly in the middle of that line.

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The only transformation that would carry rectangle ABCD onto itself is a single rotation of 180 degrees in a parallelogram.

Rectangle ABCD's characteristics and how each transformation affects its orientation and location must be examined in order to identify the collection of reflections and rotations that would carry the rectangle onto itself of a parallelogram.

First, using the provided coordinates, let's determine the sides of the rectangle: AB is parallel to DC, and AD is parallel to BC. Also, we can observe that the lengths of AB and AD are equal to DC and BC, respectively, indicating that the opposite sides are congruent.

The rectangle is first suggested to be rotated 180 degrees. This transformation simply maps each point to its corresponding point on the rectangle; the rectangle's orientation is left unchanged. Hence, rectangle ABCD would be carried onto itself by this transformation alone.

The rectangle is first reflected over the x-axis, rotated 180 degrees, and then reflected once more over the x-axis is the second transformation suggested. This series of transformations flips the rectangle's orientation while mapping each point to its equivalent point on the other side of the rectangle. Hence, the rectangle ABCD would not be carried onto itself by this transformation sequence.

The third suggested transformation involves reflecting the rectangle first over the y-axis, then over the line y = x, and then back over the y-axis. The rectangle's orientation is maintained but its position is altered by this series of modifications. Hence, the rectangle ABCD would not be carried onto itself by this transformation sequence.

The rectangle is to be rotated 180 degrees, reflected over the line y = x, and then reflected over the x-axis as the fourth transformation suggested. Each point is moved and mapped to a point on the other side of the rectangle via this series of transformations. The rectangle's orientation is also altered, though. Hence, the rectangle ABCD would not be carried onto itself by this transformation sequence.

Hence, a single 180° rotation is the only transformation that could turn rectangle ABCD upon itself.

In conclusion, we studied the features of the rectangle and the consequences of each transformation on its orientation and location to find the set of reflections and rotations that would transport rectangle ABCD onto itself. In contrast to the other suggested transformations, we discovered that only a single rotation of 180 degrees would keep the rectangle's orientation and location intact.

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Answer:

Step-by-step When he is 10 feet from the base of the light, the rate at which the tip of his shadow moves is 10ft/s (b) When he is 10 feet from the base of the light, the rate at which the length of his shadow changes is 4ft/s

The number of integers in the set {1, 2, ..., 546} that are not divisible by 2, 3, and 7 is 312.

To find the count of numbers not divisible by 2, 3, and 7, we can use the principle of inclusion-exclusion.

Now, we subtract the counts of numbers divisible by any two of the three factors:

Lastly, we add the count of numbers divisible by all three factors:

Numbers divisible by 2, 3, and 7: There are 546/(2*3*7) = 13 integers divisible by 2, 3, and 7 within the range.

Now, we can calculate the count of numbers not divisible by 2, 3, and 7 by subtracting the counts obtained from the range:

Count = 546 - (273 + 182 + 78 - 91 - 39 - 26 + 13) = 312.

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Coating the seed typically improves seed quality and germination rates, so the same seeding rate can be maintained even with coated seed.

To convert mass-based seeding rates to population-based establishment rates, we need to consider the area conversion factors provided:

a. Given a seeding rate of 60 lbs/acre for cereal rye, we can convert it to seeds per square foot by using the conversion factor of 1 acre = 43,560 square feet.

b. Given a seeding rate of 15 kg/ha for crimson clover, we can convert it to seeds per square meter using the conversion factor of 1 hectare = 10,000 square meters.

To convert population-based seeding rates to mass-based seeding rates, we can use the given area conversion factors:

a. Given a seeding rate of 30 plants/square foot for oats, we can convert it to pounds of seed per acre.

b. Given a seeding rate of 20 plants/square meter for hairy vetch, we can convert it to kilograms of seed per hectare.

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answer: c. $364.80

explanation: find the interest, then add the interest to the principal

to find interest:

interest = principal x rate x time

>> interest = 320 x 0.035 x 4

after multiplying, you get 44.80, which is the simple interest

to find account balance:

account balance = principal + interest

>> 320 + 44.80 = 364.80

Answer:

50

Step-by-step explanation:

Triangle=180 degrees

96+34=130

180-130= 50

50 degrees is the third angle

Answer:

theres nothing here....

\(\huge\textsf{Hey there!}\)

\(\mathsf{\dfrac{9\times10^5}{10\times10^3}}\)

\(\mathsf{10^5}\)

\(\mathsf{= 10\times10\times10\times10\times10}\)

\(\mathsf{= 100\times100\times10}\)

\(\mathsf = 10,000\times10}\)

\(\mathsf{=\bf 100,000}\)

\(\mathsf{10^3}\)

\(\mathsf{= 10\times10\times10}\)

\(\mathsf{= 100\times10}\)

\(\mathsf{= \bf 1,000}\)

\(\mathsf{\dfrac{9\times100,000}{10\times 1,000}}\)

\(\mathsf{9\times100,000 = \bf 900,000}\)

\(\mathsf{10 \times 1,000 = \bf 10,000}\)

\(\mathsf{\dfrac{900,000}{10,000}}\)

\(\mathsf{= \bf 90}\)

\(\boxed{\boxed{\large\textsf{Answer: \huge \bf 90}}}\huge\checkmark\)

\(\large\textsf{Good luck on your assignment and enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

Answer:

b

Step-by-step explanation:

u just have to think about it

The fraction of the occupied apartments is 9/10.

In mathematics, a fraction is a symbol for a rational number.

Let a and b be two numbers, then their fraction can be represented as a/b.

Given that,

Total apartments in the building = 200.

Also,

The number of apartments leased by realtor = 180

The fraction of the apartments which is occupied by realtor

= number of apartments leased /Total apartments

= 180 / 200

= 18 / 20

= 9 / 10

The required fraction is 9/10, implies that from each 10 apartments, 9 apartments are occupied.

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A prime date is a date where both the month and day form a prime number, for example 2/2 or 3/3.

There were 10 prime dates in 2007:

January 2nd (1/2)

February 2nd (2/2)

March 3rd (3/3)

April 5th (4/5)

May 7th (5/7)

June 11th (6/11)

July 13th (7/13)

August 17th (8/17)

September 19th (9/19)

November 23rd (11/23)

December 29th (12/29)

A prime date is a date where both the month and day form a prime number, for example 2/2 or 3/3. To find the number of prime dates in 2007, we must first identify which months and days form prime numbers. January 2nd (1/2), February 2nd (2/2), March 3rd (3/3), April 5th (4/5), May 7th (5/7), June 11th (6/11), July 13th (7/13), August 17th (8/17), September 19th (9/19), November 23rd (11/23), and December 29th (12/29) are all prime dates in 2007. Therefore, there were 10 prime dates in 2007.

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Answer:

Not only that, some of them have even had hair, eyes, and hands! The average mouth produces over 25,000 quarts of saliva, which helps protect your mouth from germs, over a lifetime – enough to fill two swimming pools!

Step-by-step explanation:

Answer:

two hundred pools worth of saliva

Step-by-step explanation:

I need the size of each pool, so this is the answer you are asking for based off of what u said

Answer:

  $2.10

Step-by-step explanation:

The discount is described as 4/5 of 1.75% of the purchase price.

__

For a purchase price of $150, the discount is ...

  discount = (4/5)(1.75%)($150) = $2.10

The discount for using cash is $2.10.