Which numbers are a distance of 3.2 units from −4 on a number line?

A number line with increments of .5 with a range of 0 to negative 7.5

Select each correct answer.

The total energy required per week for hot water is 64245 BTU

Given that Kimonoski takes a 10-minute shower every day and the shower uses about 1.1 gal per minute of water. Therefore, the water used per week for shower

= 10 minutes x 7 days x 1.1 gallons per minute

= 77 gallons per week

He uses 22 gallons of hot water per day for clothes and dishwashers, therefore the total hot water used in a week

= 22 gallons per day x 7 days

= 154 gallons per week

To calculate the total energy required per week for hot water, we will use the formula,

Q = mCΔT

Where,Q = total heat energy, m = mass, C = specific heat, and ΔT = change in temperature

For 154 gallons of water, the mass of water

= 154 gallons x 8.35 lbs/gallon

= 1284.9 lbs

ΔT = 110 F - 60 F = 50 F

Let's assume the specific heat of water is 1 BTU/lb.

F, therefore the total energy required per week for hot water

Q = mCΔT= 1284.9 lbs x 1 BTU/lb.F x 50 F= 64245 BTU per week

Therefore, the total energy required per week for hot water is 64245 BTU.

#SPJ11

Let us know more about total energy : https://brainly.com/question/14062237.

Answer:

p = £7.00

Step-by-step explanation:

Represent the original price by p.  Then 0.80p = £5.60, or p = £7.00.

If a price is discounted by 20%, the discounted price is (1 - 0.20), or 0.80, times the original price.

There are 6 values of the displacement of the string at x = 5.0 m at 1 s intervals from t = 0 s to t = 6 s.

All the numbers between two specific integers are referred to as an interval. All actual values between those two are included in this range. A set of real numbers known as an interval in mathematics contains all real numbers falling inside any two of the set's numbers. For instance, the interval containing 0, 1, and all integers in between is the set of values x satisfying 0 ≤x≤ 1.

Given

A snapshot graph at t = 0 s of two waves on a string approaching each other at 1 m/s.

The values of the displacement of the string at x = 5.0 m at 1 s intervals from t = 0 s to t = 6 s are,

At t = 0

s,=>Y₀= 0 cm

At t =1

s,=>Y₁= 0 cm

At t = 2

s,=>Y₂= 0 cm

At t =3

s,=>Y₃= 0 cm

At t =4

=>Y₄= 0 cm

At t = 5 s,

=>Y₅=0 cm

At t = 6

s,=>Y₆= 0 cm

To learn more about interval, visit:

https://brainly.com/question/13708942

#SPJ4

The Bayes' decision rule strategy is Buy.

Bayes' decision rule is used to choose between a set of mutually exclusive and collectively exhaustive outcomes based on the probabilities of those outcomes and their expenses. It chooses the decision alternative with the largest expected value. Bayes' decision rule specifies the following method for selecting between two mutually exclusive possibilities:

choose the one with the highest probability of being correct. Suppose we have two alternatives, A1 and A2, and we must select one. The outcomes O1, O2, and O3 may arise if we select A1, and outcomes O4, O5, and O6 may arise if we select A2, as shown in the given payoff table below:O1 O2 O3A1 r1 r2 r3A2 r4 r5 r6The procedure for using Bayes' rule is as follows:

Step 1: Calculate the likelihood ratios for each outcome. The likelihood ratio is the probability of the outcome given the chosen alternative divided by the probability of the outcome given the alternative not selected. For example, the likelihood ratio for O1 is as follows: r1/(r4 + r5 + r6).

Step 2: Estimate the prior probabilities of the alternatives (before any information is acquired). Assume that these are 50-50 probabilities unless more information is available. For example, if A1 and A2 are equally likely, their prior probabilities are both 0.50.

Step 3: Calculate the posterior probabilities of the alternatives given the observed outcome.

Bayes' theorem is used to calculate the posterior probabilities of the alternatives. The formula for Bayes' theorem is as follows: P(Ai|Oj) = (P(Oj|Ai)P(Ai))/ P(Oj)where P(Ai|Oj) is the posterior probability of Ai given Oj, P(Oj|Ai) is the likelihood of Oj given Ai, P(Ai) is the prior probability of Ai, and P(Oj) is the total probability of Oj, which is the sum of the likelihoods for the two alternatives.

Know more about decision rule here:

https://brainly.com/question/30074844

#SPJ11

Answer:part of the earths crust and part of the earths core

Step-by-step explanation:

Answer:

the answer is ( 2 ) Part of the Earth's mantle

Answer:

3x(2x - 3)

Step-by-step explanation:

Given

y = 6x² - 9x ← factor out 3x from each term

  = 3x(2x - 3)

mass (m) = 5.4g

Volume (V) = 2 cm^3

To find the density (p), we have to apply the next formula:

p= m/v

Replacing:

p´= 5.4/2 = 2.7 g/cm^3

Answer:

B) 24 + 6x

Step-by-step explanation:

3x + 14 + 3x + 10 =

[Associative property of addition, regrouping will not change the sum]

(3x + 3x) + (14 + 10) =

[Add like terms, so that each term is organized]

6x + 24 [This is the simplified version]

24 + 6x [This is the same thing due to the commutative property of addition, changing the order will not change the sum]

The solution to the differential equation is: \(y(x) = 10x^2 + 5x - e^x - (1/2)e^{2x\)

An equation is a mathematical statement that shows the equality between two expressions. It usually consists of two parts: the left-hand side (LHS) and the right-hand side (RHS), which are separated by an equal sign (=).

For example, the equation: 2x + 3 = 7

To solve the differential equation y′′ − 8y′ + 20y = 200x² − 39xe^x by undetermined coefficients, we assume that the solution has the form:

\(y(x) = Ax^2 + Bx + Ce^x + De^{2x}\)

where A, B, C, and D are constants to be determined.

We now take the first and second derivatives of y(x) to obtain:

\(y′(x) = 2Ax + B + Ce^x + 2De^{2x}\\y′′(x) = 2A + Ce^x + 4De^{2x}\)

Substituting these expressions into the original differential equation, we get:

\((2A + Ce^x + 4De^{2x}) -8(2Ax + B + Ce^x + 2De^{2x}) + 20(Ax^2 + Bx + Ce^x + De^{2x}) = 200x^2 -39xe^x\)

Simplifying and collecting terms, we obtain:

\((20A -39D)x^2 + (2A - 8B + 20C)x + (A - 8A + C-16D)e^x + (4D - 8C)e^{2x} = 200x^2 - 39xe^x\)

Comparing coefficients on both sides, we get the following system of equations:

20A − 39D = 200

2A − 8B + 20C = 0

A − 8A + C − 16D = −39

4D − 8C = 0

Solving this system, we get:

A = 10

B = 5

C = −1

D = −1/2

Therefore, the solution to the differential equation is:

\(y(x) = 10x^2 + 5x -e^x - (1/2)e^{2x\)

Learn more about Diffrential Equation here:

https://brainly.com/question/29899188

#SPJ1

Given:

A graph of bell peper patch is given as below

Find:

we have to find the Maximum possible area of bell peper patch represented by the function p corresponding to the length of the tomato patch x.

Explanation:

From the given graph of function p(x), it is observed that the function has maximum value at x = 6.

Therefore, when x = 6, we get

as the function p represents the area of the bell peper patch,

Therefore, Maximum possible area of the bell peper patch is p = 18 square feet, when the length of the zomato patch is x = 6 feet.

The solution to the given differential equation is L⁻¹{Y(s)} = (b³ t sin 2t) / (2 (sin bt - bt cos bt))

To solve the differential equation using the convolution theorem, we'll follow these steps:

Take the Laplace transform of both sides of the differential equation.

Use the convolution theorem to simplify the resulting expression.

Take the inverse Laplace transform to obtain the solution in the time domain.

Let's start with step 1:

Given differential equation: d²y/dt² - 4y = t cos 2t

Taking the Laplace transform of both sides, we get:

s²Y(s) - sy(0) - y'(0) - 4Y(s) = L{t cos 2t}

Where Y(s) represents the Laplace transform of y(t), y(0) is the initial condition for y(t) at t = 0, and y'(0) is the initial condition for dy/dt at t = 0.

The Laplace transform of t cos 2t can be found using the Laplace transform table:

L{t cos 2t} = -Im{d/ds[1 / (s² - (2i)²)]}

= -Im{d/ds[1 / (s² + 4)]}

= -Im{(-2s) / [(s² + 4)²]}

= 2Im{(s) / [(s² + 4)²]}

Now let's simplify the expression using the convolution theorem:

The Laplace transform of the convolution of two functions, f(t) and g(t), is given by the product of their individual Laplace transforms:

L{f * g} = F(s) G(s)

In our case, f(t) = y(t) and g(t) = 2Im{(s) / [(s² + 4)²]}.

Therefore, F(s) = Y(s) and G(s) = 2Im{(s) / [(s² + 4)²]}.

Multiplying F(s) and G(s), we get:

Y(s) G(s) = Y(s) 2Im{(s) / [(s² + 4)²]}

Now, we can rewrite the left-hand side of the equation using the convolution theorem:

Y(s) * 2Im{(s) / [(s² + 4)²]} = L{t cos 2t}

Taking the inverse Laplace transform of both sides, we have:

L⁻¹{Y(s) * 2Im{(s) / [(s² + 4)²]}} = L⁻¹{L{t cos 2t}}

Simplifying the right-hand side using the inverse Laplace transform table, we get:

L⁻¹{Y(s) * 2Im{(s) / [(s² + 4)²]}} = t sin 2t / 4

Now, we can apply the convolution theorem to the left-hand side of the equation:

L⁻¹{Y(s) * 2Im{(s) / [(s² + 4)²]}} = L⁻¹{Y(s)} * L⁻¹{2Im{(s) / [(s² + 4)²]}}

The inverse Laplace transform of 2Im{(s) / [(s² + 4)²]} can be found using the inverse Laplace transform table:

L⁻¹{2Im{(s) / [(s² + 4)²]}} = 1 / 2b³ (sin bt - bt cos bt)

Therefore, we have:

L⁻¹{Y(s)} * 1 / 2b³ (sin bt - bt cos bt) = t sin 2t / 4

From this, we can deduce the inverse Laplace transform of Y(s):

L⁻¹{Y(s)} = (t sin 2t / 4) / (1 / 2b³ (sin bt - bt cos bt))

Simplifying further:

L⁻¹{Y(s)} = (b³ t sin 2t) / (2 (sin bt - bt cos bt))

This is the solution to the given differential equation.

Know more about Convolution theorem here:

brainly.com/question/32608612

#SPJ11

Answer:

The answer would be C. An obtuse equilateral triangle :)

The first integer = x

The second integer = x + 1

The third integer = x + 2

The fourth integer = x + 3

The fifth integer = x + 4

Since they all add up to 5, let's set them equal to 5

x + x + 1 + x + 2 + x + 3 + x + 4 = 5

Combine like terms

5x + 10 = 5

Subtract 10 from both sides

5x = -5

Divide each side by 5

x = -1

The first integer = x = -1

The second integer = x + 1 = -1 + 1 = 0

The third integer = x + 2 = -1 + 2 = 1

The fourth integer = x + 3 = -1 + 3 = 2

The fifth integer = x + 4 = -1 + 4 = 3

We can check this by adding all the integers together and making sure we get 5

3 + 2 + 1 + 0 - 1 = 5

Answer:

0

Step-by-step explanation:

If the sum of the integers is 5, then the arithmetic mean of the integers is \($\frac{5}{5}=1$\) .  In five consecutive integers, the arithmetic mean is equal to the middle integer, which means the integers are -1, 0, 1, 2, 3 and the product is \($\boxed{0}$\).

Hope this helped! :)

Answer:

252°

Step-by-step explanation:

Given

Shape: Decagon

Required

Determine the value of n

A Decagon has 10 sides and a complete rotation takes 360°

First, we need to calculate the angle of each rotation as follows.

Each Rotation = ⅒ * 360°

Each Rotation = 360°

Next, we determine the possible values of n.

The statement is represented as "possible values of n" because n can assume infinite number of values.

However, n must be a multiple of 36

From the list of given options.

10, 150 and 225 are not multiples of 36

Only 252 happens to be a multiple of 36 from the list of given options.

Hence, option D answers the question [base on the given options]

A decagon is a ten-sided polygon.

The value of n could be 252 degree.

Since, A Decagon has 10 sides

The angle made in one complete rotation is 360 degree.

Now find angle made in each rotation is,

                          \(=\frac{360}{10}=36degree\)

Now, we have to find possible values of n.

Since, n must be a multiple of 36

Apply hit and trial from given option.

We observe that from given options, only 252 degree is multiple of 36.

Therefore, value of n could be 252 degree.

Hence, option 4  is correct.

Learn more:

https://brainly.com/question/9549251

The general solution to the differential equation dy/dx = x - 1/3y^2 for y>0 is y(x) = √(3(x^2/2 - x + C)), where C is a constant of integration.

To solve the differential equation, we can separate variables and integrate both sides with respect to y and x:

∫ 1/(y^2 - 3x) dy = ∫ 1 dx

Using partial fraction decomposition, we can rewrite the left-hand side as:

∫ (1/√3) (1/(y + √3x) - 1/(y - √3x)) dy

Integrating each term with respect to y, we get:

(1/√3) ln|y + √3x| - (1/√3) ln|y - √3x| = x + C

Simplifying, we get:

ln|y + √3x| - ln|y - √3x| = √3x + C

ln((y + √3x)/(y - √3x)) = √3x + C

Taking the exponential of both sides and simplifying, we get:

y(x) = √(3(x^2/2 - x + C)), where C is a constant of integration. Therefore, the answer is √(3(x^2/2 - x + C)) for y(x).

You can learn more about differential equation  at

https://brainly.com/question/1164377

#SPJ11

Answer:

16m

just find highest common factor of 32 and 48

Answer:

3628800 ways if the women are always required to stand together.

To solve this problem, we can consider the number of ways to arrange the women and men separately, and then multiply the results together.

First, let's consider the arrangement of the women. Since no two men can be seated next to each other, the women must be seated in between the men. We can think of the 5 men as creating 6 "gaps" where the women can be seated (one gap before the first man, one between each pair of men, and one after the last man).

Out of these 6 gaps, we need to choose 7 gaps for the 7 women to sit in. This can be done in "6 choose 7" ways, which is equal to the binomial coefficient C(6, 7) = 6!/[(7!(6-7)!)] = 6.

Next, let's consider the arrangement of the 5 men. Once the women are seated in the chosen gaps, the men can be placed in the remaining gaps. Since there are 5 men, this can be done in "5 factorial" (5!) ways.

Therefore, the total number of ways to seat the 5 men and 7 women is 6 * 5! = 6 * 120 = 720.

There are 720 ways to seat the 5 men and 7 women in a row such that no two men are next to each other.

To know more about arrangement visit

https://brainly.com/question/1427391

#SPJ11

\

Overall, building a theory is a complex process that requires careful planning, attention to detail, and a willingness to remain open to alternative explanations and interpretations.

An important first step when building a theory is to formulate a clear and testable research question or hypothesis. A research question or hypothesis is a statement that suggests a relationship between two or more variables, and it guides the development of the theory. The research question or hypothesis should be specific, measurable, and falsifiable, meaning that it can be tested and potentially proven false through empirical research. Once a clear research question or hypothesis has been formulated, the researcher can then begin to gather and analyze data to support or refute the theory.

Another important first step when building a theory is to conduct a comprehensive review of existing literature and research in the field. This review helps the researcher to identify gaps or inconsistencies in current knowledge and to develop a clear understanding of the state of the field. This step can also help the researcher to refine their research question or hypothesis, as well as to identify potential variables and relationships that may be relevant to the theory.

Another important step when building a theory is to select an appropriate research design and methodology that will allow for the systematic collection and analysis of data. The research design should be aligned with the research question or hypothesis, and should enable the researcher to collect high-quality data that can be analyzed using appropriate statistical or qualitative methods.

In addition, it is important to be mindful of potential biases that can impact the development of a theory, such as confirmation bias or researcher bias. It is important for the researcher to be objective and to consider all possible explanations for their data, rather than solely seeking out evidence that supports their hypothesis or preconceived ideas.

To learn more about building a theory :

https://brainly.com/question/9688799

#SPJ4

Probability that a coin pulled at random from the jar will not be a dime or penny is 20 or 13.

Given that,

6 quarters, 3 dimes, 4 nickels, and 10 pennies are included in the jar.

We have to find what is the probability that a coin pulled at random from the jar won't be a dime or a penny.

We know that,

6 quarters, 3 dimes, 4 nickels, and 10 pennies are included in the jar.

6+3+4+10 =23

Probability that a coin pulled at random from the jar will not be a dime is 23-3=20

Probability that a coin pulled at random from the jar will not be a penny is 23-10=13

Therefore, Probability that a coin pulled at random from the jar will not be a dime or penny is 20 or 13.

To learn more about probability visit: https://brainly.com/question/11234923

#SPJ4

Answer:

wellerman

Step-by-step explanation:

Answer:

A: y= 2x -2

B: y= 1/3x +2

C: set the two = to each other and solve

2x-2= 1/3x +2

1 2/3x -2= 2

1 2/3x = 4

x= 12/5

y= 1/3 (12/5) +2

y= 14/5

answer to C is (12/5 , 14/5)

Answer:

answering so they get brainest

Step-by-step explanation:

The value of the account on Virginia's 18th birthday, to the nearest cent, is $62,482.41

The initial deposit of $2500 grows with an annual interest rate of 3.6%, so after 18 years, it becomes:

2500 * (1 + 0.036)^18 = $4556.46

The subsequent deposits of $2500 form a geometric series with a common ratio of 1 + 0.036 = 1.036. The sum of this geometric series can be calculated using the formula:

S = a * (r^n - 1) / (r - 1)

where a is the first term, r is the common ratio, and n is the number of terms.

In this case, a = 2500, r = 1.036, and n = 17 (since the first deposit has already been accounted for in the initial deposit). Thus, the sum of the subsequent deposits is:

S = 2500 * (1.036^17 - 1) / (1.036 - 1) = $57,925.95

Adding the initial deposit to the sum of the subsequent deposits gives the total value of the account on Virginia's 18th birthday:

$4556.46 + $57,925.95 = $62,482.41

Therefore, the value of the account on Virginia's 18th birthday, to the nearest cent, is $62,482.41

To learn more about compound interest

https://brainly.com/question/24924853

#SPJ11

The number 71.38 can be written in word form as "seventy-one and thirty-eight hundredths." The correct answer is option D.

In decimal notation, the number 71.38 can be broken down into its whole number and decimal parts. The whole number part is 71, and the decimal part is 0.38.

In a decimal number, the digits to the right of the decimal point represent fractions of a whole. Each digit to the right of the decimal point has a place value that is a power of 10.

In word form, the decimal part 0.38 is read as "thirty-eight hundredths." Therefore, when combined with the whole number 71, the correct word form is "Seventy-one and thirty-eight hundredths."

Therefore option D is the correct answer.

Learn more about the whole number:

https://brainly.com/question/9879870

#SPJ11

The surface area of the rectangular prism with the given length, width, and height is 1,872 square inches.

What is a rectangular prism?

A rectangular prism is simply a three-dimensional solid shape with six faces that are rectangles.

The surface area of a rectangular prism is the sum of the areas of all the faces.

The surface area of a rectangular prism is expressed as:

S.A = 2( wl + hl + hw )

where,

w is the width,

l is the length,

and h is the height;

Thus; A = 2( (24× 18) + (12×18) + (12× 24)

            = 2 ( 432 + 216 + 288 )

            = 2 × 936

            = 1,872 sq inches

Therefore, the surface area of the rectangular prism with the given length, width, and height is 1,872 square inches.

To learn more about rectangular prism visit,

brainly.com/question/16154580

#SPJ4

Answer:

i am pretty sure its 11

Step-by-step explanation:

bc if you look at the nymber next to 0 its .6 and they say 5 and up round UP!!

Answer:

11

Step-by-step explanation:

Rounded to Nearest Whole Number =  

11

Rounded to Nearest Tenth =  

10

Rounded to Nearest Hundredth =  

0

Rounded to Nearest Thousandth =

0

The actual length of the dragonfly if the drawing is 8. 5 cm, can be found to be 6. 375 mm

The scale on the science textbook is such that every 4 cm of the drawing of an insect is the same as 3 mm of the actual insect.

If a drawing is 8. 5 cm therefore, the actual length of the dragonfly would be :

= ( Drawing length of dragonfly x Scale of insect ) / Drawing scale of insect

The actual length is therefore :

= ( 8. 5 x 3 ) / 4

= 6. 375 mm

Find out more on scale at https://brainly.com/question/2511535

#SPJ1

Answer:

\(\fbox {True}\)

Step-by-step explanation:

Trigonometric ratios apply to only right triangles, and not to oblique triangles. There various ratios of angles less than or equal to 90 degrees is taken.

Step-by-step explanation:

hope you can understand

Answer:

I think the answer is liner