select the correct answer. which measurement is equivalent to 350 milliliters? a. 3.5 × 102 liters b. 3.5 × 101 liters c. 3.5 × 10–2 liters d. 3.5 × 10–1 liters

The forecasted sales in August 2021, using exponential smoothing with a smoothing constant of 0.31, is approximately 52.3251 units.

Exponential smoothing is a forecasting method that assigns weights to historical data points, giving more importance to recent observations. The forecasted value for a specific period is calculated by combining the actual value for that period with the forecasted value for the previous period. The formula for exponential smoothing is:

Ft = α * At-1 + (1 - α) * Ft-1

Where Ft is the forecasted value for period t, At-1 is the actual value for the previous period, Ft-1 is the forecasted value for the previous period, and α is the smoothing constant.

Given that the forecast in April 2021 was 39 units and the monthly sales data from April to September 2021 are 48, 55, 46, 54, 53, and 52 units, we can calculate the forecasted sales for each subsequent month using the exponential smoothing formula.

Using the given values and the formula, we can calculate the forecasted sales for August 2021 as follows:

Ft = 0.31 * 52 + (1 - 0.31) * 52.3251 = 52.3251

Therefore, the forecasted sales in August 2021, rounded to at least 4 decimals, is approximately 52.3251 units.

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Answer:

0.456 :)

Step-by-step explanation:

Answer:

I think it's 126cm not sure

Answer:

it will be A equals 4 and B equals 7 because there is four squares the total is 28 so if you do the right math it will be 28

Answer: C. four million, eight hundred and twelve thousand

Step-by-step explanation:

4,812,000.

When a figure consists of 7 numbers, it is regarded as millions. For example, 8,000,000 is right million on words.

4,812,000 will therefore be called four million, eight hundred and twelve thousand.

The area of each polygon in this problem is given as follows:

a) 252 square units.

b) 65 square units.

For item a, we have a rectangle of dimensions 12 and 21, hence the area is the multiplication of the dimensions, as follows:

A = 12 x 21 = 252 square units.

For item b, we have a triangle with base 13 and height 10, hence the area is half the multiplication of the base by the height, as follows:

A = 0.5 x 13 x 10 = 65 square units.

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Answer:

$100

Step-by-step explanation:

The bottom row is how many mph the driver is over, the left row is how much it costs per mph over. Since 62mph in a 55mph zone is 7mph over, you go the 7 on the bottom, and go up until you get to the point, then see what the number on the left is. In this case, it would be 100. So therefore the fine is $100.

If Kayla as 110 nickels and 90 pennies in her change purse, then she has a total of $6.40. If she has xx nickels and yy pennies, then she has $(5xx + yy)/100 in dollars.

We shall convert the pennies and nickels into same unit before adding to get the expression for the number of coins in dollars Kayla will have in total.

A nickel = 5 cents so;

110 nickels = 110 × 5 cents

110 nickels = 550 cents

A penny = 1 cent, so

90 pennies = 90 cents

110 nickels + 90 pennies = 640 cents

110 nickels + 90 pennies = $ 640/100

110 nickels + 90 pennies = $6.40

A nickel = 5 cents so;

xx nickels = xx × 5 cents

A penny = 1 cent, so

yy pennies = yy cents

xx nickels + yy pennies = (5xx + yy) cents

xx nickels + yy pennies = $(5xx + yy)/100

Therefore, $6.40 is the total value in dollars for Kayla if she has 110 nickels and 90 pennies. And the expression $(5xx + yy)/100 represent the total value if she has xx nickels and yy pennies.

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a. ln(7x) can be expanded as ln(7) + ln(x). b. ln(x + 3) remains as it is, since it cannot be simplified further. c. ln(x^8) can be expanded as 8ln(x). d. 15,000ln(xy^4) can be expanded as ln(x) + 4ln(y) + ln(15,000).

a. To expand the logarithmic expression ln(7x), we can use the property of the natural logarithm that states ln(ab) = ln(a) + ln(b).

Therefore, ln(7x) can be expanded as ln(7) + ln(x).

b. Similarly, the logarithmic expression ln(x + 3) can be expanded using the property ln(ab) = ln(a) + ln(b).

Hence, ln(x + 3) remains as it is since we cannot simplify it further.

c. Expanding the logarithmic expression ln(x^8) can be done using the property ln(a^b) = b * ln(a).

Thus, ln(x^8) becomes 8 * ln(x).

d. Expanding the logarithmic expression 15,000ln(xy^4) can be done by applying the property ln(ab) = ln(a) + ln(b).

Therefore, 15,000ln(xy^4) can be expanded as 15,000[ln(x) + ln(y^4)].

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the likelihood of Erin getting at least one bullseye in 5 throws is 0.5563 or 55.63%.

To calculate the likelihood of Erin getting at least one bullseye, we need to first calculate the probability of her not getting a bullseye in a single throw. Since she scores a bullseye 15% of the time, the probability of her not getting a bullseye in a single throw is 85% (100% - 15%).

Using the probability of not getting a bullseye in a single throw, we can use the following formula to calculate the probability of not getting a bullseye in all 5 throws:

0.85 x 0.85 x 0.85 x 0.85 x 0.85 = 0.4437

Therefore, the probability of Erin not getting a bullseye in all 5 throws is 0.4437 or 44.37%.

To calculate the probability of Erin getting at least one bullseye in 5 throws, we can subtract the probability of her not getting a bullseye in all 5 throws from 1:

1 - 0.4437 = 0.5563

Therefore, the likelihood of Erin getting at least one bullseye in 5 throws is 0.5563 or 55.63%.

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The probability that Erin will get at least one bullseye in her 5 throws at the adventure arcade is approximately 55.63%.

To find the probability that she will get at least one bullseye in 5 throws, we can use the complementary probability.

This means we will first find the probability of her not getting a bullseye in all 5 throws, and then subtract that from 1.

Find the probability of not getting a bullseye (1 - bullseye probability)

1 - 0.15 = 0.85

Calculate the probability of not getting a bullseye in all 5 throws

0.85^5 ≈ 0.4437

Find the complementary probability (probability of at least one bullseye)

1 - 0.4437 ≈ 0.5563

So, the probability that Erin will get at least one bullseye in her 5 throws at the adventure arcade is approximately 55.63%.

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Answer:

Step-by-step explanation:

Let D be the distance between Chelsea's home and her school.

t is the time to travel by bus.  The total time for both the bus and walking is 1 hour, so the time to walk is (1-t)hr.

We know that Distance = Speed x Time, or D = S*T

Going by bus:

D = (.75)t

Walking:

D = (2.5)(1-t)

D is the same, so we can write:

(0.75)t = (2.5)(1-t)

0.75t = 2.5-2.5t

3.25t = 2.5

t = 0.769 hours

It takes Chelsea 0.769 hours, or 46.15 minutes to travel to school by bus.  This doesn't seem correct, since it means it only takes her 13.85 minutes to walk home.  So double check my numbers, but it is possible that the bus makes many stops, plus a bad traffic light, after Chelsea is picked up.  When she walks straight home it takes her less time than the bus.

Answer:

it is number 4 why because

Answer:

y=3/2x+2

Step-by-step explanation:

y=slope*x+y intercept, slope=Rise/run, slope=3/2 y intercept= x=0 y=2

The missing value of y is -15. B.

The missing value of y in the given scenario where y varies indirectly with x, we can use the inverse variation formula:

y = k/x

where k is the constant of variation.

Given the points (12, 5) and (-4, y), we can use the first point (12, 5) to find the value of k:

5 = k/12

To solve for k, we multiply both sides of the equation by 12:

5 × 12 = k

k = 60

Now that we have the value of k, we can substitute it into the formula to find the missing value of y using the second point (-4, y):

y = 60/(-4)

y = -15

We may apply the inverse variation formula to get the value of y that is absent in the circumstance where y changes indirectly with x: y = k/x, where k is the variational constant.

We may utilise the first point (12, 5) to get the value of k given the points (-4, y) and (12, 5).

5 = k/12

We multiply both sides of the equation by 12 to find the value of k: 5 x 12 = k k = 60.

Now that we know the value of k, we can use the second point (-4, y) in the calculation to get the value of y that is missing:

y = 60/(-4)

y = -15

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Yes, it is valid to use the Central Limit Theorem (CLT) to describe the sampling distribution of the sample mean, even for a random sample of five households. Although a sample size of five is relatively small, the CLT still applies as long as the sample is random and independent.

  The Central Limit Theorem is a fundamental concept in statistics that states that, under certain conditions, the sampling distribution of the sample mean approaches a normal distribution as the sample size increases, regardless of the shape of the population distribution.

While a sample size of five may be considered small, the CLT still holds for this case. The key consideration is that the sample is selected randomly and each observation is independent of the others. As long as these conditions are met, the CLT can be applied, even for small sample sizes.

In practice, larger sample sizes are generally preferred to ensure better approximation to the normal distribution. However, the CLT provides a theoretical foundation for the validity of using the normal distribution as an approximation for the sampling distribution of the sample mean, even with relatively small sample sizes like five households.

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Answer:

devide 1080 by 5 and 2880 by 5 the it will 216 and 576

Answer: 1080 is an. Octagon, 8 sides

180 is a triangle.

2880 is an 18gon 18 sides

Step-by-step explanation:

Divide the sum of the interior angles by 180 and add 2 to the dividend.

1080/180=>6+2=8

180/180 => 1 +2 =3

2880/180=> 16+2= 18

Answer:

Line LM

Step-by-step explanation:

Answer:

A line is a straight path on a plane that extends forever in both directions with no endpoints.

The answer will be lineLM

Answer:

4

Step-by-step explanation:

$2.50 → 10 ounces

$1.00 → (10/2.50 x 1.00) ounces = 4 ounces

Step-by-step explanation:

Break it up into two trapezoids as shown

area = trap1 + trap2

      = 2 *   (7+3) / 2   + 3 *  ( 7 + 3) / 2 = 10 + 15 = 25 units^2

x=48, y=110

Explanation:

55-7=48

55+55=110

Answer:

BC + CD = BD

Step-by-step explanation:

that is the right answer

Answer:

D or BC+CD+BD

Step-by-step explanation:

According to the given figure, the area of the shaded region in the shape is 49.5mm2.

The total area of every one of the shapes which cover an object's surface is known as its surface area. The length and width of this type of rectangle are multiplied to determine its area.

To solve the following question we first need to separate the single shape into two according to the shapes given

Therefore we have two shapes with us, i.e., rectangle and triangle.

First of all, we need to calculate the area of both the shares separately:

Firstly, area of the rectangle, formula is:

Area = length x width

By entering the length and width values,

Area of rectangle= 7 x6

Area of rectangle= 42 mm2

Now, we need to calculate the area of the second shape, that is, triangle,

Triangle area is equal to height x base / 2.

Now, by putting values in the formula:

Area of triangle=3 x 5 / 2

Area of triangle= 15/2

Area of triangle= 7.5 mm2

Therefore, the area of the shaded region:

Area = (rectangular area + triangular area)

Area = 42 + 7.5

Area = 49.5 mm2

Therefore, the area of the shaded region of the shape given is 49.5 mm2.

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Answer:

\(\dfrac{ 450 \sin ( 140 ) }{ \sin ( 28 ) }\)

= 616.127679049

"B"

Step-by-step explanation:

Answer:

4x + 8 = 7.2 + 5x

1. 4x - 4x + 8 = 7.2 + 5x - 4x

2. 8 = 7.2 + x

3. 8 - 7.2 = 7.2 - 7.2 + x

4. 0.8 = x

Step-by-step explanation:

Final Answer: \(x = 0.8\)

Steps/Reasons/Explanation:

Question: Equation with variables on both sides: decimals & fractions \(4x + 8 = 7.2 + 5x\).

Step 1: Subtract \(4x\) from both sides.

\(8 = 7.2 + 5x - 4x\)

Step 2: Simplify \(7.2 + 5x - 4x\) to \(7.2 + x\).

\(8 = 7.2 + x\)

Step 3: Subtract \(7.2\) from both sides.

\(8 - 7.2 = x\)

Step 4: Simplify \(8 - 7.2\) to \(0.8\).

\(0.8 = x\)

Step 5: Switch sides.

\(x = 0.8\)

~I hope I helped you :)~

Answer:

28/430 is 0.65116 and the question said we should convert to the nearest 1 and the answer is 0.6

Answer:748cm^2

Step-by-step explanation:

Answer:

x=4

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

0.75x+3=6(x−3)

0.75x+3=(6)(x)+(6)(−3)(Distribute)

0.75x+3=6x+−18

0.75x+3=6x−18

Step 2: Subtract 6x from both sides.

0.75x+3−6x=6x−18−6x

−5.25x+3=−18

Step 3: Subtract 3 from both sides.

−5.25x+3−3=−18−3

−5.25x=−21

Step 4: Divide both sides by -5.25.

−5.25x/-5.25    =    -21/-5.25

Answer: x=4

The value of x from the given equation is 4.

The given equation is 0.75x + 3 = 6 (x - 3).

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given equation can be solve for x as follows:

0.75x + 3 = 6x - 18

⇒ 6x-0.75x = 3+18

⇒ 5.25x=21

⇒ x=21/5.25

⇒ x=4

Therefore, the value of x from the given equation is 4.

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The stability of the nonzero equilibria found in Problem 2 can be determined by analyzing the phase portrait of the autonomous equation (4).

If the phase portrait shows that any slight deviation from the equilibrium point results in the population returning to the equilibrium point, then the equilibrium is stable.

On the other hand, if any slight deviation from the equilibrium point causes the population to diverge further from the equilibrium point, then the equilibrium is unstable.

To analyze the phase portrait, we need to first find the Jacobian matrix of the autonomous equation (4) evaluated at the nonzero equilibria. Then, we can determine the eigenvalues of the Jacobian matrix and use them to classify the stability of the equilibria.

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answer:

y= -5x -2

hope it helps

Answer:

b. a dilation by a scale factor of 2

Step-by-step explanation:

Which transformation, when performed on the triangle ABC, will result in the transformed figure

A'B'C' being similar but NOT congruent to the original triangle?

a. a reflection over the x-axis

b. a dilation by a scale factor of 2

C.a translation two units to the right

d. a rotation 90° clockwise about the origin

Solution:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, translation, reflection and dilation.

Rigid transformation are transformation that preserves the size and shape of a figure. Examples of rigid transformation are reflection, translation and rotation.

Dilation preserves the shape but not the size of a figure.

If translation, rotation or reflection is done on triangle ABC, the transformed figure would be congruent to the original triangle. But, if dilation is done, the transformed figure would be similar but NOT congruent to the original triangle.