=
5-4 MathXL Elimination
5.4.PS-12
Two trains, Train A and Train B, weigh a total of 290 tons. Train A is heavier than Train B. The difference of their
weights is 248 tons. What is the weight of each train?

Answer:

45 feet

Step-by-step explanation:

The volume formula is length x width x height. So the length is 5 feet and the width is 3 feet. Times both of them and get 15. Next, times the height which is 3. This will give 45 feet as your answer.

Answer:

Volume = 5 * 3 * 3

             = 45

Hope this helps :)

Also it would be the 2nd option in your case.

Step-by-step explanation:

Finding the volume of an object, so for example you have here is a rectangular prism, you would multiply Length times height times Width.

Which is also this equation:

   Volume = L * W * H

L = Length

W = Width

H = Height

Answer:

multiply both sides by 2

Step-by-step explanation:

you mtiply because you are doing the opposite of division. the f and the 2 are being divided.

Answer:

The domain is all real numbers

The range is  \(y \leq 3\)

Step-by-step explanation:

The domain is the values that the input can take.

X can be from - infinity to infinity

The domain is all real numbers

The range is the values that the output can take

Y can be from - infinity to 3

The range is  \(y \leq 3\)

Answer:

thats the diagram of landlines stocks in a nutshell

Step-by-step explanation:

hahaha

Answer:

Open the jar carefully.

Read the directions.

Don't cry.

Use common sense.

Make the best of things.

Catch up!

She doesn't study German on Monday.

Does she live in Paris?

He doesn't teach math.

Cats hate water.

Every child likes an ice cream.

Step-by-step explanation:

Answer:

Three non-collinear points determine a plane.

Step-by-step explanation:

This statement means that if you have three points not on one line, then only one specific plane can go through those points. The plane is determined by the three points because the points show you exactly where the plane is

To find miles per day, divide the total miles needed to drive by the number of days he can drive:

1450 miles / 3 days = 483 1/3 miles per day minimum.

↝A car is traveling at a speed of 60 miles per hour. Represent this situation with an

equation. Define d as the distance the car has traveled and t as the number of hours

it has traveled.

↝d = 60t

↝we know that,

\(⇢{speed=\frac{distance}{time}} \\ \)

\(⇢{distance=speed \times time} \\ \)

\(⇢d = 60 \times t\)

\(⇢d = 60t\)

If hours be x

According to the formula

The expression is

Answer:

$40.40

Step-by-step explanation:

1. Round each decimal to the nearest tenth. Keep in mind that the sum is the answer to an addition problem.

$4.28 = $4.30

$21.35 = $21.40

$14.65 = $14.70

2. Now, all we have to do is add up the three decimals to find the answer.

$21.40 + $14.70 + $4.30 = $40.40

Conclusion: Your answer is $40.40

A functiοn fοr the percentage is P = 25cοs(π/14t) + 25.

In the case οf a functiοn frοm οne set tο the οther, each element οf X receives exactly οne element οf Y. The functiοn's dοmain and cοdοmain are respectively referred tο as the sets X and Y as a whοle. Functiοns were first used tο describe the idealized relatiοnship between twο varying quantities.

Here, we have

Given:

Tο find the percentage οf the full mοοn, we can write an equatiοn in the fοrm P = Acοs(Bt) + C

After 14 days, the percentage οf the mοοn is zerο

A = (max-min)/2 = 50/2 = 25

The periοd = 28 days

P = Acοs(BT = t) + c

B = 2π/periοd = 2π/28 = π/14

c = min + A = 0 + 25 = 25

We get,

P = 25cοs(π/14t) + 25,

Here, p is the percentage οf the mοοn visible cοmpared tο the previοus full mοοn.

Hence, a functiοn fοr the percentage is P = 25cοs(π/14t) + 25.

To learn more about the function from the given link

https://brainly.com/question/10439235

#SPJ1

Let:

(x1,y1) = (-2,11)

m = 4

Using the point-slope equation:

Answer:

Circumference of the circle 2π(radius)=6π ft

Therefore, radius=3 ft

Area=π(radius)²=π×3²=9π ft²

9π ft² is the right answer.

The area of circle is 9π square feet.

Area is the amount of area occupied by an object's flat (2-D) surface or shape.

The circumference of circle = 2πr

6 = 2πr

r = 3π

And the area of circle is πr².

The area of the circle = 9π

Therefore, the area of the circle is 9π square feet.

To learn more about the area;

https://brainly.com/question/27683633

#SPJ5

Therefore , coordinate problem solution is A) 3140 pulses per minute , B) 2915 beats per minute , C) heartbeat of 2915 beats per minute (D) or 2915.5 beats per minute .

When locating points or other mathematical objects precisely on a region, such as Euclidean space, a coordinate system is a technique that uses one or more numbers or coordinates. Locating a point or item on a the double plane requires the use of coordinates, which are pairs of integers. Two numbers called the x and y vectors are used to define a point's location on a 2D plane. a collection of numbers that indicate specific locations.

Here,

The slope method can be used to calculate the patient's heart rhythm after 42 minutes that use the secant line connecting the points with the specified values of t:

Heartbeat change / time change is the trend.

The heart rate can then be estimated using this slope value along with the number for heartbeats at t = 42 minutes.

A)Using coordinates 36, 2510, and 42, 2915 as examples:

Cardiac rate at 42 minutes = 2510 + (42 - 36) * 75 = 3140 Slope = (2915 - 2510) / (42 - 36) = 75

b) Using coordinates (38, 2647) and (42, 2915), respectively:

Cardiac rate at 42 minutes = 2647 + (42 - 38) * 67 = 2915 Slope = (2915 - 2647) / (42 - 38) = 67

c) Applying the values (40, 2784) and (42, 2915):

Heart rate at 42 minutes = 2784 + (42 - 40) * 65.5 = 2915.5 Slope = (2915 - 2784) / (42 - 40) = 65.5

Using coordinates (42, 2915), and (44, 3048), respectively:

Cardiac rate at 42 minutes = 2915 + (42 - 42) * 66.5 = 2915 Slope: (3048 - 2915) / (44 - 42) = 66.5

To know more about coordinates  visit:

https://brainly.com/question/27749090

#SPJ4

Answer: 61.4

Step-by-step explanation:

Answer:

x = 12

Step-by-step explanation:

by direct solution

otherwise this system many solution

Answer:

one

Step-by-step explanation:

4x+8=-4+5x

or, 5x-4x = 8+4

hence,

x=12

Answer:

\(x^2 - 6x + 10\) or in general: \(a(x^2 - 6x + 10)\) where "a" is any constant real number except zero.  

Step-by-step explanation:

If we're given a complex root of a polynomial to be: \((a+bi)\text{ or }(a-bi)\), then we know that its conjugate is also a root of the polynomial: \((a-bi)\text{ or }(a+bi)\).

So since we're given the root: \((3+i)\), then we know that its conjugate: \((3-i)\) is also a root. Thus we have two roots so far.

The Fundamental Theorem of Algebra simply states that any polynomial, with degree "n", will have "n" roots, which can consist of both real and imaginary solutions.

So let's say I have a polynomial: \(x^6+3x+2=0\), this has 6 roots, according to the Fundamental Theorem of Algebra, since the degree of the polynomial is 6 (remember the degree is simply the variable with the highest degree)

Since we already have two roots, and a quadratic function has a degree of two, we know that these are all the roots the quadratic has, since the Fundamental Theorem of Algebra states that a quadratic will only have 2 roots.

We can generally express any polynomial in factored form, that is: \(a(x-b)(x-c)(x-d)...=y\)

where "b", "c", and "d", and so on... are zeros of the function. This aligns with the behavior of zeros, since if we plug any of them into the function, then one of the factors will become zero, and since zero times anything is zero, well the entire thing is zero.

For example if I plug in "b", which is zero we get: \(a(b-b)(b-c)(b-d)...=y\implies a(0)(b-c)(b-d)=y\implies 0=y\)

this is since plugging in zero, makes the factor: \(x-b\) equal to zero, making the entire thing zero.

One last thing to mention is the "a" value in front which just generally determines the stretch/compression of the polynomial.

So with this information, we can write a polynomial:

\(a(x-(3+i))(x-(3-i))\)

From here let's distribute the negative sign:

\(a(x-3-i)(x-3+i)\)

Now this may look a bit tough to distribute, but you may notice a pattern here, we have a difference of squares. It may not be obvious, but if we make one substitution, let's say: \(u=x-3\), then we get the equation

\(a(u-i)(u+i)\)

The difference of squares is expressed as: \(a^2 - b^2 = (a-b)(a+b)\), so our expression will expand out into:

\(a(u^2 - i^2)\)

The substitution was just to make things a bit more clear, but let's just substitute x-3 back into the equation.

\(a((x-3)^2 - i^2)\)

From here, we know that i^2 is simply -1, since: \(\sqrt{-1} = i, \text{ so }i^2 = -1\)

We can also easily expand out the polynomial using FOIL

\(a((x^2 - 6x + 9) -(-1))\\a(x^2 - 6x + 9 + 1)\\a(x^2 - 6x + 10)\)

You may notice the "a value, and that's just a constant, which determines the stretch/compression of the polynomial, and can be any real number, except for zero since that will make the entire thing zero regardless of what x is. For the sake of simplicity, let's just write this to be 1.

The ordered pairs are (1,0), (2,6/5),(3,12/5)

The solution of a linear equation is defined as the points, in which the lines represent the intersection of two linear equations. In other words, the solution set of the system of linear equations is the set of all possible values to the variables that satisfies the given linear equation.

Given here: The equation as y = 6x/5 - 6/5

putting (1,0) in the equation we get 6×1/5-6/5=0

Similarly we can find the ordered pair as y = 6/5x - 6/5

Hence, The ordered pairs are (1,0), (2,6/5),(3,12/5)

Learn more about linear equation here:

brainly.com/question/545403

#SPJ1

a) The determination of the standard quota for the Dagonal district is 40.57%.

b) 1. The standard divisor is 267.19 (4,275/16).

2. The standard, lower, and upper quotas for the four districts are as follow:

                                North         South           East         West      

Standard quota     18.36%       26.32%     45.61%       9.71%

Lower quota             18%          26%            45%            9%

Upper quota             18%          26%            46%           10%

The quota method of apportionment is the use of the standard divisor to round off standard quotas, according to some agreed ground norms.

When the standard quota is rounded down to an integer, it gives the lower quota, and rounding up gives the upper quota.

The standard divisor is calculated as the total population divided by the total number of seats.

The standard divisor gives the average number of people represented by a Board or seat member.

Data and Calculations:

Residents of Hamilton, NY = 73,465

Board Trustee Members = 12

                              Basel         Heights       Dagonal      Total

Population            13,244         30, 415        29,806    73,465

Proportion            18.03%        41.40%         40.57%      100%

Allocation of Board

Seats                         2                  5                 5               12

Number of seats = 16 seats

                              North         South         East         West      Total

Population               785           1,125         1,950        415       4,275

Proportion            18.36%       26.32%     45.61%       9.71%    100%

Allocation of Board

Seats                        3                 4                7              2          16

Learn more about the quota system at https://brainly.com/question/12105335

Answer:

100k each without tax + interest

Step-by-step explanation:

Answer:

-4x^4-6x^3-8x^2-24x

Step-by-step explanation:

\(\left(2x^2+4x\right)\left(-2x^2+x-6\right)\\\)

distribuir parênteses

\(=2x^2\left(-2x^2\right)+2x^2x+2x^2\left(-6\right)+4x\left(-2x^2\right)+4xx+4x\left(-6\right)\)

Aplicar regras de menos mais ;\(+\left(-a\right)=-a\)

\(=-2\times\:2x^2x^2+2x^2x-2\times\:6x^2-4\times\:2x^2x+4xx-4\times\:6x\)

simplificar

\(-2\times\:2x^2x^2+2x^2x-2\times\:6x^2-4\times\:2x^2x+4xx-4\times\:6x:\\\quad -4x^4-6x^3-8x^2-24x\)

I only understand is the "calculo diferencial" and "resquesta" but I'm so sorry I only understand English

Answer:

8773.06526743

Step-by-step explanation:

Usé el traductor de Go ogle y lo resolví como creo que sería, y la respuesta que obtuve fue 8773.06526743, pero verifique dos veces para estar seguro. ¡espero que tengas un gran día!

now just round it

The cost of the molding is given as follows:

$119.30.

The circumference of a circle of radius r is given by the equation presented as follows:

C = 2πr.

The parameters for this problem are given as follows:

d = 9 -> r = 4.5.

(as the radius is half the diameter)

Hence the circumference is given as follows:

C = 2 x π x 4.5

C = 28.27 ft.

The cost is of $4.22 per ft, hence the total cost is given as follows:

4.22 x 28.27 = $119.30.

More can be learned about the circumference of a circle at brainly.com/question/12823137

#SPJ1

Here are the steps to simplify the expression \(\sf\:5x\sqrt{3x} - 2x\sqrt{3x} - x\sqrt{3x} \\\):

1. Combine like terms that have the same radical term \(\sf\:\sqrt{3x} \\\):

\(\sf\:(5x - 2x - x)\sqrt{3x} \\\)

2. Simplify the coefficients:

\(\sf\:2x\sqrt{3x} \\\)

Therefore, \(\sf\:5x\sqrt{3x} - 2x\sqrt{3x} - x\sqrt{3x}\) simplifies to \(\sf 2x\sqrt{3x} \\\).

The additional cost that is incurred in dollars when production is increased from 4 units to 20 units is $516.80.

If ​C(4​)=203​,  C(20​) is given as $719.80

To determine the additional cost incurred when production is increased from 4 units to 20 units, we need to first obtain the difference between the cost of producing 20 units and the cost of producing 4 units.

The result is obtained by integration as follows:

C(x) = ∫ C'(x) dx = ∫ (0.09x^2 - 4x + 60) dx = 0.03x^3 - 2x^2 + 60x + C

Note that the constant is 'c'.

The additional cost when there is  an increment from 4 to 20 units will be:

C(20) - C(4)

= (0.03*20^3 - 2*20^2 + 60*20 + C) - (0.03*4^3 - 2*4^2 + 60*4 + C)

= $516.80

To solve the second part of the question, We are given these values:

C(4) = 203.

Also, from the expression we derived in part (a) for C(x), we can solve for the constant of integration C by substituting C(4) = 203 this way:

C(4) = 0.03*4^3 - 2*4^2 + 60*4 + C = 203

C = 83

To obtain C(20) we substitute C = 83 and x = 20 into the expression we derived in part (a) thus

C(20) = 0.03*20^3 - 2*20^2 + 60*20 + 83

= $719.80.

Learn more about the marginal cost function here:

https://brainly.com/question/29090581

#SPJ1

Answer:

24.95 kg

Step-by-step explanation:

one pound =0.45356 kg

55 lbs=55*45356 =24.95 kg

Answer:

B.

Step-by-step explanation:

Judging by the picture, it appears that you are correct. The pattern seems to go as follows:

1. Blue (with one line)

2. Red (with two lines)

3. Blue (with three lines)

This means that your final step should be red with four lines, and we can eliminate D as there is no sign that the line should branch off that way (based on the pattern that we already have). Hope this helps and please let me know if you still need help!

Answer:  When you solve for w the equation is \(w= \frac{p-2l}{2}\)

Step-by-step explanation:

p = 2L + 2w  subtract 2L from both sides

p -2L = 2L -2L + 2w     2L-2L = 0 om the right; they cancel

p - 2L = 2w     now get w alone

(p - 2L)/2  = 2w/2   divide both sides by 2  2w/2 = w  2/2=1  it "cancels"

\(\frac{p +2L}{2} = w\)  rewrite Reverse sides to put w alone on the left side

\(w= \frac{p-2l}{2}\)

The overtime rate of pay is K10.25.

The overtime rate of pay can be calculated by multiplying the basic rate pay by the time-and-a-quarter factor. In this case, the basic rate pay is K8.20.

To determine the overtime rate of pay, we need to calculate one-quarter (1/4) of the basic rate pay, and then add that amount to the basic rate pay. One-quarter of K8.20 is calculated as (1/4) * K8.20 = K2.05.

By adding the calculated overtime amount to the basic rate pay, we get the overtime rate of pay: K8.20 + K2.05 = K10.25.

Therefore, the overtime rate of pay is K10.25.

For more such questions on pay,click on

https://brainly.com/question/25793394

#SPJ8