4x²+4x-24 step by step

The error is that the student rounded off the outcome after combining the numbers.

When a number is rounded off, its value is maintained but is brought closer to the next number, simplifying the number.

For entire numbers as well as decimals at different places of hundreds, tens, tenths, etc., it is done.

So, we have:

162 + 287 + 395 = 840

The error:

After adding the numbers, the student rounded the result.

If the learner had added the numbers first and then rounded the result, they would have received the correct answer of 850 instead of 840.

When estimating totals, students should be taught to round numbers first before adding them.

Therefore, the error is that the student rounded the outcome after combining the numbers.

Know more about rounding off here:

https://brainly.com/question/28128444

#SPJ4

Correct question:
A third-grade student is asked to find the best-estimated answer for the problem below by rounding to the nearest ten.

162 + 287 + 395

The student gets an answer of 840. Which of the following best describes the student's error?

To minimize the cost of operating three different types of machines while meeting product demand, it's essential to choose the appropriate machine based on the cost and capacity.

There are certain numbers of machines available for each type. The information on machines Alpha-1000, Alpha-2000, and Alpha-3000 is given below:Alpha-1000 Alpha-2000 Alpha-3000Initial cost per day $200 $275 $325

Additional cost per product $1.50 $1.80 $1.90Products per day (Max) 40 60 85Number of machines 8 5 3Given that each machine type has a different cost and capacity, the goal is to find the minimum cost of production while maintaining the required product demand. A mathematical model can be developed to minimize the cost of operation of the machines, subject to the demand for products.

The mathematical model can be defined as follows:

Let xi represent the number of machines of type Alpha-i required (i = 1, 2, 3).

The objective function to be minimized is the total cost of production, which can be defined as follows:

Total Cost = (200 × x1) + (275 × x2) + (325 × x3) + (1.50 × x1 × 40) + (1.80 × x2 × 60) + (1.90 × x3 × 85)

Subject to: 40x1 + 60x2 + 85x3 >

= Product demandx1 <= 8, x2 <= 5,

x3 <= 3x1,

x2,

x3 >= 0

From the above model, we can see that the objective is to minimize the total cost of production while ensuring that the demand for products is met.

The model's constraints ensure that the maximum number of machines of each type is not exceeded and that there is enough capacity to meet the required product demand.

In conclusion, the above model can be solved using a linear programming algorithm to determine the optimal number of machines of each type that will minimize the cost of production.

To know more about cost visit :

https://brainly.com/question/32591134

#SPJ11

Calculate Fh and Fv using the respective formulas, determine the location of horizontal and vertical hydrostatic forces by finding h_CP and h_CG, and finally, calculate the moment about Point B using M_B formula.

To answer your questions, we will use the following formulas and principles related to hydrostatic forces and moments:

1. The magnitude of the horizontal hydrostatic force (Fh) acting on the dam can be calculated using the formula: Fh = (1/2) * ρ * g * h² * b, where ρ is the density of water (1000 kg/m³), g is the acceleration due to gravity (9.81 m/s²), h is the height of water, and b is the width of the dam.

2. To determine the location of the horizontal hydrostatic force relative to Point B, we need to find the center of pressure. The center of pressure (CP) is located at a distance (h_CP) from the base of the dam (Point B) and can be calculated using the formula: h_CP = (2/3) * h, where h is the height of the water.

3. The magnitude of the vertical hydrostatic force (Fv) acting on the dam can be calculated using the formula: Fv = ρ * g * h * A, where A is the area of the submerged surface of the dam.

4. To determine the location of the vertical hydrostatic force relative to Point B, we need to find the centroid of the submerged surface. The centroid (CG) is located at a distance (h_CG) from the base of the dam (Point B) and can be calculated using the formula: h_CG = (1/2) * h, where h is the height of the water.

5. To determine the moment the water creates about the Toe, Point B (M_B), we can use the formula: M_B = Fh * h_CP, where Fh is the horizontal hydrostatic force, and h_CP is the distance from Point B to the center of pressure.

For more about hydrostatic.

https://brainly.com/question/28206120

#SPJ11

(a) [e(-4t) * cos(3t - 3π)] * δ(t) simplifies to 0, except at t = 0. (b) (t * sin(kt)) * δ(t) simplifies to 0. (c) The integral of (t³ + 4) * δ(1 - t) from -∞ to ∞ simplifies to 5 * δ(0). (d) The integral of e(x-1) * cos[4π(x-5)] * δ(x-3) from -∞ to ∞ simplifies to e² * cos(8π) * δ(0).

we can simplify using following way

(a) Simplifying the expression [e(-4t) * cos(3t - 3π)] * δ(t):

The Dirac delta function, δ(t), is zero everywhere except at t = 0, where its value is infinite. So, when multiplied by δ(t), the expression becomes zero everywhere except at t = 0.

(b) Simplifying the expression (t * sin(kt)) * δ(t):

To simplify this expression, we can apply L'Hopital's rule to the term (t * sin(kt)).

L'Hopital's rule states that if the limit of the quotient of two functions is of the form 0/0 or ∞/∞, and both functions are differentiable, then the limit of the quotient is equal to the limit of the derivative of the numerator divided by the derivative of the denominator.

Using L'Hopital's rule on the expression (t * sin(kt)), we differentiate the numerator and the denominator with respect to t:

lim(t->0) (t * sin(kt)) * δ(t)

= lim(t->0) (sin(kt) + ktcos(kt)) * δ(t)

= lim(t->0) sin(kt) * δ(t) + lim(t->0) ktcos(kt) * δ(t)

Since δ(t) is zero everywhere except at t = 0, the limit is equal to:

= sin(k * 0) * δ(0) + 0

= 0

Therefore, the expression (t * sin(kt)) * δ(t) simplifies to 0.

(c) Simplifying the integral ∫[−∞,∞] (t³+ 4) * δ(1−t) dt: The Dirac delta function, δ(1 - t), is zero everywhere except when 1 - t = 0, which occurs at t = 1. Therefore, the integral evaluates to:

∫[−∞,∞] (t³+ 4) * δ(1−t) dt

= (1³ + 4) * δ(1−1)

= (1 + 4) * δ(0)

= 5 * δ(0)

(d) Simplifying the integral ∫[−∞,∞] e(x−1) * cos[4π(x−5)] * δ(x−3) dx:

The Dirac delta function, δ(x - 3), is zero everywhere except when x - 3 = 0, which occurs at x = 3. Therefore, the integral evaluates to:

∫[−∞,∞] e(x−1) * cos[4π(x−5)] * δ(x−3) dx

= e(3-1) * cos[4π(3-5)] * δ(3-3)

= e² * cos(-8π) * δ(0)

= e² * cos(8π) * δ(0)

learn more about integral here:

https://brainly.com/question/31433890

#SPJ11

Answer:

Simplified Expansion=(2(-x+1))/(x+1)

Expansion=2/1+x (1-x)

Step-by-step explanation:

Answer:

-94%, -.925, -9/10, -8/9

Step-by-step explanation:

-.94, -.8, -.925, -.9

-.94, −0.925, −0.9, -0.8

Answer:

2.24units

Step-by-step explanation:

Let the coordinate be A(3, -5) and A'(2, -3)

Using the formula for calculating the distance between two points

D = √(x2-x1)²+(y2-y1)²

AA' = √(2-3)²+(-3-(-5))²

AA' = √(-1)²+(-3+5))²

AA' = √1+2²

AA' =√5

AA' = 2.24 units

Note that the coordinate points are assumed

Answer:

It’s C

Step-by-step explanation:

Just did the quiz

Answer:

20100

Step-by-step explanation:

To find the sum of:

\(1 + 2 + 3+ 4+ ...... +200\)

As per the trick of Gauss, let us divide the above terms in two halves.

\(1+2+3+4+\ldots+100\) and

\(101+102+103+104+\ldots+200\)

Let us re rewrite the above terms by reversing the second sequence of terms.

\(1+2+3+4+\ldots+100\)  (it has 100 terms) and

\(200+199+198+197+\ldots+101\) (It also has 100 terms)

Adding the corresponding terms (it will also contain 100 terms):

1 + 200 = 201

2 + 199 = 201

3 + 198 = 201

:

:

100 + 101 = 201

The number of terms in each sequence are 100.

So, we have to add 201 for 100 times to get the required sum.

Required sum = 201 + 201 + 201 + 201 + . . . + 201  (100 times)

Required sum = 100 \(\times\) 201 = 20100

Se calcula que la aceleración es - 8,35 m/s.

Ahora sabemos lo siguiente de la pregunta;

Velocidad inicial (u) = 60 km/h o 16,7 m/s

Tiempo empleado (t) = 2 s

Dado que;

v = tu + en

v = 0 m/s porque el carro se detenía

tu = -en

a = -(u/t)

 a= -1(6,7 m/s/2 s)

a =- 8,35 m/s

La aceleración es negativa porque la velocidad disminuye con el tiempo.

Obtenga más información sobre la aceleración: https://brainly.com/question/12550364

#SPJ1

Answer:

Adrien Agreste!

Step-by-step explanation:

But she does have hidden feelings for Cat Noir. She even said that maybe she'd see him differently if Adrien didn't exist.

The metric system contains seven fundamental units of measure. The seven base units of measure in the metric system are length, mass, time, electric current, temperature, luminous intensity, and amount of substance.

These base units are used to measure different types of physical quantities in the metric system.What is the metric system?The metric system is a measuring system that is used throughout the world, and it is based on the decimal system. I

t is easy to use because it is based on powers of ten. This means that each unit is ten times larger than the previous unit and ten times smaller than the next unit.The International System of Units (SI), also known as the metric system, is a globally accepted system of measurement that is used to measure different physical quantities.

It consists of a set of fundamental units of measure, derived units, and prefixes that are used to express the units of measure.The metric system is a standard system of measurement that is used worldwide, and it has become the standard system of measurement for science, engineering, and commerce.

To learn more about measure, visit

brainly.com/question/30475022

#SPJ11

the percent increase in enrollment, and round to the nearest percent is 40%

Given that number of students enrolled in 2010= 2000

Given that number of students enrolled in 2018 = 2800

2800is more than 2000 so that means number of students enrollment is increasing.

increase = 2800-2000= 800

Percent increase is given by formula:

% increase = 800/2000*100= 40

which is approx 40%.

Hence final answer is that enrollment increases by 40%

learn more about of percent here

https://brainly.com/question/11850891

#SPJ4

Answer:

Hello! Your answer here is $6.48 for an 18oz jar of peanut butter. To determine which is the better buy, we can divide 6.48 by 18 and 5.28 by 12, which will give us the cost per ounce or unit rate. The $6.48 jar of peanut butter costs $0.36 per ounce, while the $5.28 jar of peanut butter costs $0.44 per ounce. The $6.48 jar of peanut butter is a better buy because it costs less per ounce.

Answer: $6.48 for 18 ounce jar of peanut butter is better to buy because its 0.36 dollars per ounce and the other one is 0.44 dollars per ounce.

Brainliest pleasee!!! :C

If the utilization of an M/M/1 model is 0.6, the c of time there is at least one person in the system is 100%.

In an M/M/1 model, the utilization represents the ratio of the arrival rate (λ) to the service rate (μ). If the utilization is less than 1, it means that the arrival rate is lower than the service rate, and the system is not fully utilized. However, even with a utilization of 0.6, there will still be instances where there is at least one person in the system. This is because the arrival rate is not zero, indicating that customers are still arriving, albeit at a lower rate compared to the service rate. Therefore, the percentage of time with at least one person in the system would be 100%. If you are told that the utilization rate for an M/M/1 model is 0.8 and the average number of people in the system is 4, it is impossible to determine the average number of people in the queue without further information. The average number of people in the queue depends on factors such as the arrival rate and service rate, which are not provided in this scenario. The utilization rate alone and the average number of people in the system do not provide sufficient information to calculate the average number of people in the queue accurately. Therefore, it is impossible to determine the average number of people in the queue based solely on the given information.

Learn more about average here: brainly.com/question/31087305

#SPJ11

Answer:

5w^2 over 12 is your answer. hope it helped!

Step-by-step explanation:

Answer:

5w^2 over 12

Step-by-step explanation:

Using a slope value of 3, the general equation in point-slope form is: y - b = 3(x - a).

Recall:

From the question given, the slope gotten from part B is missing in this question. However, let's assume the slope (m) = 3.

Using one of the points, say (a, b), to write a general equation in point slope form, substitute \((x_1, y_1)\) = (a, b) and m = 3 into \(y - y_1 = m(x - x_1)\).

Thus:

\(\mathbf{y - b = 3(x - a)}\)

Therefore, using a slope value of 3, the general equation in point-slope form is: y - b = 3(x - a).

Learn more about point-slope form on:

https://brainly.com/question/14105985

Answer:

\( - 2m - 5m = 9m - 12 \\ ⟶ - 2m - 5m - 9m = - 12 \\ ⟶ - 16m = - 12 \\ ⟶ - m = \frac{ - 12}{16} \\ ⟶ - m = \frac{ - 6}{8} \\ ⟶ m = - ( - \frac{6}{8} ) \\ ⟶m = \frac{6}{8} \)

\(m=0.75\)

Answer:

\( \boxed{ \bold{ \huge{ \boxed{ \sf{m = 0.75}}}}}\)

Step-by-step explanation:

\( \sf{ - 2m - 5m = 9m - 12}\)

Collect like terms

⇒\( \sf{ - 7m = 9m - 12}\)

Move 9m to left hand side and change it's sign

⇒\( \sf{ - 7m - 9m = - 12}\)

Collect like terms

⇒\( \sf{ - 16m = - 12}\)

Divide both sides of the equation by -16

⇒\( \sf{ \frac{ - 16m}{ - 16} = \frac{ - 12}{ - 16} }\)

Calculate

⇒\( \sf{ m = 0.75}\)

Hope I helped!

Best regards!!

Answer:

80 ounces

Step-by-step explanation:

One pound equals 16 ounces

16 times five is 80 ounces

Answer:

15.04

Step-by-step explanation:

7.77−1.66x+16.7x

Combine −1.66x and 16.7x to get 15.04x.

d/dx (7.77+15.04x)

The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of ax^n is nax^n-1.

15.04x^1-1

Subtract 1 from 1.

15.04x ^0

For any term t except 0, t ^0 =1.

15.04×1

For any term t, t×1=t and 1t=t.

and that leaves us with 15.04 as your answer

hopes this helps

For 13 months the membership is done using the equivalent of two given monthly fees for community and workout gym.

Algebraic equations with equivalent solutions or roots are called equivalent equations. An analogous equation is one that is created by adding or removing the identical quantity or expression from both sides of a given equation. An equation is equivalent if both sides are multiplied or divided by the same non-zero value. By dividing both numbers by the same number, one can convert a division problem into an analogous problem while keeping the ratio between the two numbers constant. The equivalent is defined as something that is almost identical to or equal to another object. Two numbers that are equivalent are (2+2) and 4. These two things are equivalent since 2+2=4. equal to make equivalent.

Let x be the months

then community month= workout month

60+70x=190+60x

⇒70x-60x=190-60

⇒10x=130

⇒x=13 be the months be the working.

To know more about equivalent equations, click here:

https://brainly.com/question/17357101

#SPJ4

a) T(t) = 25 + 75 * e^(-kt), graph starts at 100°C and decreases exponentially. b) It will take approximately 13.36 minutes to cool to 40°C.

The temperature of the object can be expressed as a function of time using Newton's Law of Cooling.

According to the law, the rate of change of temperature is proportional to the difference between the object's temperature and the surrounding temperature. Mathematically, we have:

dT/dt = -k(T - Ts)

Where dT/dt represents the rate of change of temperature, T represents the temperature of the object, Ts represents the surrounding temperature, and k is a constant of proportionality.

Given that the initial temperature of the object is 100°C and the surrounding temperature is 25°C, we can rewrite the equation as:

dT/dt = -k(T - 25)

To solve this differential equation, we need an initial condition. Let's assume that at t = 0, the temperature of the object is 100°C. Therefore, T(0) = 100.

By solving the differential equation with the initial condition, we can obtain the function T(t) that represents the temperature of the object as a function of time.

(b) To calculate the time it takes for the object to cool to 40°C, we need to solve the equation T(t) = 40. By substituting T = 40 into the equation obtained in part (a) and solving for t, we can determine the time it takes for the object to reach 40°C.

To know more about Newton's Law click here: brainly.com/question/27573481

#SPJ11

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

Read the values from the graph in the usual way: find the x-coordinate, then locate the point on the graph and find its y-coordinate.

You find the y-coordinate by following the horizontal line to the y-axis, where the numbers are.

Answer:

Step-by-step explanation:

The loop will run an infinite number of times

Answer:

5 is the answer.

Step-by-step explanation:

4 - 3 + 10 ÷ 5 x 2

=> 4 - 3 + 2 x 2

=> 4 - 3 + 4

=> 4 + 1

=> 5

Therefore, 5 is the answer.

Hoped this helped.

Answer:

(5,-3)

Step-by-step explanation:

difference in x is 5 and in y it is .5 so add those to (0,-3.5) and you get (5,-3)

Answer:

Step-by-step explanation:

10/5

Just divide it

= -2

Nolan stops reading at time 2:05 am.

To calculate this,  first, calculate the amount of time elapsed since he began reading. Since he started reading at a quarter to 11, then subtract 11:45 pm (a quarter to 12) from the time he began reading, which was 11:45 pm. This gave me an elapsed time of 0 hours and 15 minutes.  then added this elapsed time to the total time Nolan read, which was 3 hours and 5 minutes. This gave us a total elapsed time of 3 hours and 20 minutes. Finally, then added this total elapsed time to the start time of 11:45 pm. This gave me the result of 2:05 am as the time Nolan stopped reading.

To know more about time refer to  the link  brainly.com/question/28050940

#SPJ4

To determine the explicit rule for the nth term of the given geometric sequence 5, 20, 80, 320, 1,280, ..., use the formula:`an = a1 * r^(n - 1)`, where an represents the nth term of the sequence.`a1`represents the first term of the sequence.`r` represents the common ratio between terms of the sequence.

The given sequence is 5, 20, 80, 320, 1,280, ...Let's now apply the formula to find the explicit rule for the nth term of the given sequence.`an = a1 * r^(n - 1)`Where a1 = 5 (first term of the sequence)`r` can be found by dividing any term by the preceding term, as `r = (second term) / (first term)`In this case,`r = (20) / (5) = 4`

Substituting the values in the formula:`an = a1 * r^(n - 1)``an = 5 * 4^(n - 1)` Therefore, the explicit rule for the nth term of the given geometric sequence is `an = 5 * 4^(n - 1)`.You can use this formula to find the value of any term in the sequence, given its position (n) in the sequence.For example, to find the 150th term of the sequence, substitute n = 150 in the formula: `a150 = 5 * 4^(150 - 1)`. This simplifies to `a150 = 1.442 x 10^90`.

Learn more about geometric sequence

https://brainly.com/question/27852674

#SPJ11