gas tank is
full. After he buys 5 gallons of gas, it is
12 /
10
full. How many gallons can tank hold?

Answer:

2 pound

Step-by-step explanation:

Im legit doing this question right now

Therefore, using simple exponential smoothing with a = 0.75, the forecast for water pump sales for February through May are:- February: 26.5 units,  March: 37.63 units, April: 72.66 units.

To use simple exponential smoothing with a = 0.75, we first need to calculate the forecast for January:
F1 = 25 (given)
Next, we calculate the forecast for February using the formula:
F2 = a * Y1 + (1 - a) * F1
F2 = 0.75 * 28 + 0.25 * 25
F2 = 26.5 (rounded to one decimal place)
We repeat this process for each month, using the previous month's forecast and the actual sales data for the current month. The results are as follows:
Month      Actual Sales    Forecast
-------------------------------------
January           28          25
February          72          26.5
March             98          37.63
April            126          72.66
- May: 101.17 units
Hi, I'd be happy to help you with your question. To use simple exponential smoothing with a smoothing constant α = 0.75 to forecast the water pump sales for February through May, given that the forecast for January was 25 units, follow these steps:
Step 1: Start with the given forecast for January, which is 25 units.
Step 2: Calculate the forecast for February using the formula:
Forecast_February = α * (Actual_January) + (1 - α) * Forecast_January
Step 3: Calculate the forecast for March using the formula:
Forecast_March = α * (Actual_February) + (1 - α) * Forecast_February
Step 4: Calculate the forecast for April using the formula:
Forecast_April = α * (Actual_March) + (1 - α) * Forecast_March
Step 5: Calculate the forecast for May using the formula:
Forecast_May = α * (Actual_April) + (1 - α) * Forecast_April
Please note that you have provided sales data for air-conditioning sales, but the question is about water pump sales. If you meant to ask about air-conditioning sales, you can use the given sales data to calculate the forecasts for February through May. If you need help with water pump sales, please provide the correct sales data for January through April, and I will gladly help you with the calculations.

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The likelihood of randomly selecting a terrier from the shelter is (g) unlikely

From the question, we have the following parameters that can be used in our computation:

P(terriers) = 15%

When a probability is at 15% or less than 50%, it means that

The probability is unlikely or less likely

Hence, the true statement is (b) unlikely

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The commission function is an illustration of the absolute functions

The commission for the sales of 7 cars is 16

The function is given as:

\(\mathbf{E(x)=\mid 5- \frac{6x}{2}\mid}\)

When an employee sells 7 cars, we have:

x = 7

So, the equation becomes

\(\mathbf{E(x)=\mid 5- \frac{6\times 7}{2}\mid}\)

Simplify

\(\mathbf{E(x)=\mid 5- 3\times 7\mid}\)

\(\mathbf{E(x)=\mid 5- 21\mid}\)

Simplify

\(\mathbf{E(x)=\mid- 16\mid}\)

Remove absolute brackets

\(\mathbf{E(x) = 16}\)

Hence, the commission for the sales of 7 cars is 16

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The final value theorem cannot be used for the given system output Y(s) = 1 / (s³ + 4s²) because the system is unstable. The correct option is A.

The final value theorem is used to find the steady-state value of a system's output y(t) as t approaches infinity, given the Laplace transform of the output Y(s). The final value theorem states that the steady-state value of y(t) is equal to the limit of s * Y(s) as s approaches 0.

For the final value theorem to be applicable, the system must be stable, meaning that all the poles of the system's transfer function must have negative real parts. In an unstable system, at least one of the poles has a positive real part.

In this case, the system has the transfer function Y(s) = 1 / (s³ + 4s²), which has poles at s = 0 and s = -2. The pole at s = 0 has a zero real part, indicating that the system is unstable.

Therefore, the correct answer is A. The final value theorem cannot be used because the system is unstable.

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Complete question:

The output of a system is Y(s)= 1/ s³+4s². The final value theorem cannot be used:
A. because the system is unstable
B. because there are poles
C. because there are two
D. because there are zeros system is at the imaginary axis poles at the origin at the imaginary axis unstable

3 * 10 = 30

30 * 40,000,000 = 1,200,000,000

ONE BILLION TWO HUNDRED MILLION

Multiply 3 times 10 first, then 30 times 40,000,000 and you get 1,200,000,000

Hope this helps ^-^

Answer:

Confidence Level z*-value

90% 1.645 (by convention)

95% 1.96

98% 2.33

99% 2.58

Step-by-step explanation:

the difference in sample means is 0.1, and the upper end of the confidence interval is 0.1 + 0.1085 = 0.2085 while the lower end is 0.1 – 0.1085 = –0.0085.

The ERD for the described situation would include entities such as county jails, mental health facilities, shelters, hospitals, and a coordinating database. Relationships between these entities would allow for coordination and prediction of the type of assistance individuals may need to reduce their involvement in the justice system.

The ERD for the Miami-Dade County court system's database would include the following entities:

County Jails: Represents the jails within the county system where individuals may be incarcerated.

Mental Health Facilities: Represents the facilities that provide mental health services and support.

Shelters: Represents the shelters that offer temporary housing and assistance to those in need.

Hospitals: Represents the healthcare institutions where individuals receive medical treatment.

Coordinating Database: Represents the central database that coordinates activities and stores information from all the other entities.

The relationships between these entities would be established through appropriate connections:

County Jails to Coordinating Database: This relationship would allow for the exchange of information about individuals in the jail system, including their personal history and involvement in the justice system.

Mental Health Facilities to Coordinating Database: This relationship would facilitate the sharing of information regarding individuals' mental health needs and treatment plans.

Shelters to Coordinating Database: This relationship would enable the coordination of housing services and assistance programs for individuals in the justice system.

Hospitals to Coordinating Database: This relationship would allow for the integration of medical records and healthcare services for individuals involved in the justice system.

These relationships and the information stored in the coordinating database would serve as the foundation for algorithms to predict the type of help individuals might require to reduce their involvement in the justice system.

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Answer:

Hi there!

She used rounding to estimate the sum!

The restaurant made a profit of 260% of the original amount it spent. To determine if the restaurant made a profit or a loss, compare the total revenue to the total cost.

The restaurant buys 3 cases of drinks for £30, which means the cost of one case is £10 (30 ÷ 3 = 10). There are 12 bottles in each case, so the restaurant has a total of 36 bottles (3 × 12 = 36). They sell each bottle for £3.00, so the total revenue they make is:

£3.00 × 36 = £108.00

To determine if the restaurant made a profit or a loss, we need to compare the total revenue to the total cost. The total cost is:

£30.00

Therefore, the profit or loss is:

£108.00 - £30.00 = £78.00

Since the revenue is greater than the cost, the restaurant made a profit of £78.00.

To find the percentage of the profit relative to the original amount they spent, we use the formula:

(Profit / Cost) × 100%

Substituting the values we get:

(£78.00 / £30.00) × 100% ≈ 260%

Therefore, the restaurant made a profit of 260% of the original amount it spent.

This is a very high-profit margin, which may not be sustainable in the long term. The restaurant should consider adjusting its prices or cost structure to maintain a reasonable profit margin.

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Answer:28

Step-by-step explanation:

Since you are given the length and the width, you can find the area. The area of a 2d rectangular object is always length × width, meaning the area of this floor is 7 × 4, or 28 square feet.

This means the amount of wood floor Jo will need to buy is 28 square feet of flooring, which will cost $280.

Answer:

37.5=d

Step-by-step explanation:

d+30 = 1.8d

add coefficient 1 to D so it's less confusing

1d +30 = 1.8d

isolate d

-1d

30= .8d

multiply by inverse to make d 1 whole

× 5/4 or 1.25

37.5 = d

Answer: Well the 9 answer is 900,000 and 3 answer is 300,000. The 9 answer is 600,000 greater than the 3 answer

Step-by-step explanation:

The equation shows the relationship between y, the total number of pencils remaining in the case, and x, the number of boxes of pencils is y = 10x - 8.

An algebraic equation is a mathematical expression that contains one or more variables and is set equal to a constant or the result of a mathematical operation. The variables in the equation are typically represented by letters, such as x or y, and the equation can be solved for a specific value of the variable(s) by using mathematical operations and/or by isolating the variable(s) on one side of the equation. Algebraic equations can be used to model and solve a wide variety of real-world problems, such as calculating distances, rates, and amounts.

Let x be the number of boxes of pencils

and y be the total number of pencils remaining in the case

If there are 10 pencils in each box and 8 pencils are sharpened and used by students, then we can write the equation as:

y = 10x - 8

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Answer:

4.7 miles per day.

If number two is meaning to add 4.7(.5)= 2.3(3) plus the original 14 miles over a three day travel from number one. Then the total distance for the six day trip would be 14+ 2.3(3)= 20.9

If it is meaning a total of 6 days traveling at half the speed

4.7÷2= 2.3 2.3 × 6= 13.8 miles

Similar triangles may or may not be congruent.

Question 1 to 6:

Triangles XYZ and NPQ are similar triangles.

This means that:

Angles Z and Q, lines YZ and PQ, angles P and Y, angles X and N, lines NQ and XZ, lines PN and YX are corresponding sides and angles

Question 7 to 12:

Triangles LMN and CBA are similar triangles.

This means that:

\(\mathbf{7z+6 = 5y}\)

\(\mathbf{2y-12 = z + 12}\)

Collect like terms

\(\mathbf{2y= z + 12+12}\)

\(\mathbf{2y= z + 24}\)

Make z the subject

\(\mathbf{z = 2y -24}\)

Substitute \(\mathbf{z = 2y -24}\) in \(\mathbf{7z+6 = 5y}\)

\(\mathbf{7(2y -24) + 6 = 5y}\)

\(\mathbf{14y -168 + 6 = 5y}\)

\(\mathbf{14y -162 = 5y}\)

Collect like terms

\(\mathbf{14y -5y = 162}\)

\(\mathbf{9y = 162}\)

Divide both sides by 9

\(\mathbf{y = 18}\)

Recall that: \(\mathbf{z = 2y -24}\)

\(\mathbf{z = 2 \times 18 - 24}\)

\(\mathbf{z = 12}\)

\(\mathbf{L = 60}\)

\(\mathbf{LN = 2y - 12}\)

\(\mathbf{LN = 2 \times 18 - 12}\)

\(\mathbf{LN = 24}\)

\(\mathbf{C = L}\)

\(\mathbf{C = 60}\)

\(\mathbf{AC = LN}\)

\(\mathbf{AC = 24}\)

Question 13:

The congruent parts are: KL and RQ,  KJ and RS, QS and LJ

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Length: 18 in.

Width: 6 in.

We can use “x” as the width in this scenario. If the width is x, then the length is 3x, since length is three times the width. The perimeter would be length + length + width + width. Since the perimeter is 48, we could say that:

x + x + 3x + 3x = 48

Which simplifies to 8x=48

If you divide by 8 on both sides, you get

X=6. Then you Can plug 6 back into your x width and 3x length.

(See attached image) hope this helped!

Hello!

Let's set up some variables:

Let's consider the relationship between the length and the width:

              \(\hookrightarrow L=3W\)

The perimeter of the rectangle is equal to 48 and 2W + 2L

  \(\hookrightarrow 2L + 2W = 48\)

Let's replace the 'L' in terms of 'W' and solve:

    \(2(3W) + 2W = 48\\6W + 2W=48\\8W = 48\\W = 6\)

Since L = 3W

  \(\hookrightarrow L = 3W = 3*6 = 18\)

Answer:

Hope that helps!

Answer:

Step-by-step explanation:

I hope this helps!!!!

Therefore, f(w ∩ x) = {0} ≠ f(w) ∩ f(x), which shows that the statement f(w ∩ x) = f(w) ∩ f(x) is false in general.

Let's consider the function f: R -> R defined by f(x) = x^2 and the subsets w = {-1, 0} and x = {0, 1} of the domain R.

f(w) = {1, 0} and f(x) = {0, 1}, so f(w) ∩ f(x) = {0}.

On the other hand, w ∩ x = {0}, and f(w ∩ x) = f({0}) = {0}.

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The arithmetic mean of the other four numbers is -50

From the question, we are to determine the arithmetic mean of the four numbers

From the given information,

The arithmetic mean of 10 numbers is -10

Let the sum of the 10 numbers be x

Thus,

x/10 = -10

x = 10 × -10

x = -100

Sum of the 10 numbers is -100

Also,

From the given information,

The sum of 6 of the numbers is 100.

Let the sum of the 6 numbers be y and the sum of the remaining 4 numbers be z

Thus,

y + z = x

100 + z = -100

z = -100 - 100

z = -200

Sum of the remaining four numbers is -200

Therefore,

Arithmetic mean of the other four = Sum of the four numbers / 4

Arithmetic mean of the other four = -200/4

Arithmetic mean of the other four = -50

Hence, the arithmetic mean is -50

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The percent of increase in Katie's memorization of multiplication facts this week is 40%. Option C

To calculate the percent of increase for Katie's memorization of multiplication facts this week, we need to find the difference between the number of facts she memorized last week and this week, and then express that difference as a percentage of the original value.

Number of multiplication facts memorized last week: 40

Number of multiplication facts memorized this week: 56

To find the difference in the number of facts, we subtract the number memorized last week from the number memorized this week:

56 - 40 = 16

The difference is 16.

To calculate the percent of increase, we divide the difference by the original value and multiply by 100:

(16 / 40) * 100 = 40

The percent of increase in Katie's memorization of multiplication facts this week is 40%.

Therefore, the correct answer is C) 40%.

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Answer:

The answer should be 420.

~

Step-by-step explanation:

The weighted mean of the mixture of recyclables would be (4 x $1 + 2 x $2) / 6 = $1.33.

To calculate the weighted mean of the mixture of recyclables, first identify the number of each material and their respective values. In this case, there are 4 items worth $1 each and 2 items worth $2 each. To calculate the weighted mean, multiply each item's value by the number of items and then divide by the total number of items

In this case,

4 x $1 + 2 x $2 = $6

and 6 items total, so the weighted mean is

$6 / 6 = $1.33.

This means that if compost is now worth twice as much, the weighted mean would be

(4 x $1 + 2 x $2) / 6 = $1.33.

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\(\dfrac{|AE|}{|AD|}=\dfrac{|AB|}{|AC|}\)

Therefore:
\(\dfrac{10}{10+8}=\dfrac{x}{10}\\\\\dfrac{10}{18}=\dfrac{x}{10}\\\\18x=100\\x=\dfrac{100}{18}=5.555\ldots=5.\overline{5}\)

So, none of the choices are correct (5.5 is an approximation).

Answer:

x = 10

Step-by-step explanation:

6^2 + 8^2  = x^2

36 + 64 = x^2

100 = x^2

\(\sqrt{100} = \sqrt{x^2}\)

x = 10

Answer:

x = 10

Step-by-step explanation:

8² + 6² = x²

64 + 36 = x²

100 = x²

x² = 100

√x² = √100

x = 10

The solution set of the equation will be x = - 1, or x = - 11.

A quadratic equation is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

To solve the equation x² + 12 x = -11, you can calculate this using the following steps:

x² + 12  x = -11

x² + 12 x + 11 = 0

(x + 1)  (x + 11) = 0

1. x = - 1

2. x = - 11

Therefore, solution set of the equation will be x = - 1, or x = - 11.

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Answer:

length is 40 and breadth is 20

Step-by-step explanation:

120 =2( l + b )

120 = 2( 2x +x )

120= 2 x 3x

120 =6x

120/6 = x

20 = x

length=2x = 2 x 20 = 40

breadth= x = 20.

hope it helps u

If the family size sunscreen bottle holds 12 fl oz (fluid ounces) of sunscreen, while the regular bottle has 75% less, we will then convert the percentage into fluid ounces with the following calculation:

75/100×12=9

From the calculation above, we know the difference in the liquid content between both bottles; the regular size bottle of sunscreen has 9 fl oz (fluid ounces) less liquid content. So the liquid content of a regular sunscreen bottle is 3 fl oz (fluid ounces)

You asked an incomplete question, so I assume your complete question was:

"The family size bottle of sunscreen holds 12 fluid ounces of sunscreen. The regular bottle holds 75% less. How many fewer fluid ounces does the regular bottle hold?"

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