three more than a certain number is 6 less than 4 times that same number. what is the number?

The maximum number of integers is 27 that can be added together before the summation of the A.P. Series exceeds 401.

According to the statement

We have a given that the maximum sum of the positive integers is 400.

And we have to find the value of n which is a maximum number of integers by which the value of sum become 400.

So, to find the value of the n we use the

A.P. Series'Summation formula

According to this,

S = n (n+1)/2

Here the value of s is 401

Then

S = n (n+1)/2

401 = n (n+1)/2

401*2 = n (n+1)

802 =n (n+1)

n (n+1) = 802

n^2 + n -802 =0

By the use of the Discriminant formula the

value of n becomes n = -28 and n = 27.

The negative value of n is neglected.

Therefore the value of n is 27.

So, The maximum number of integers is 27 that can be added together before the summation of the A.P. Series exceeds 401.

Learn more about maximum number of integers here https://brainly.com/question/24295771

#SPJ4

Answer:

24,078

Step-by-step explanation:

A) 20,000

      4,000

      0

    70  

      8

B)

No

Example

round to the tens

255 ...... 260

241 ... 240

round to the hundreds

255 ....... 300

241 ....... 200

The numerical value of side RS of the rectangle with a perimeter of 144 units is 30 units.

A rectangle is simply a 2-dimensional shape with parallel opposite sides equal to each other and four angles are right angles.

The perimeter of a rectangle is expressed as;

P = 2( l + w )

Given the data in the question;

First we determine the value of the variable z, plug the given values into the perimeter formula and solve for z.

P = 2( l + w )

144 = 2( (4z + 2 ) + (3z) )

144 = 2( 4z + 2+ 3z )

144 = 2( 7z + 2 )

144 = 14z + 4

14z = 144 - 4

14z = 140

z = 140/14

z = 10

Now, find the numerical value of side RS.

Width RS = 3z

RS = 3( 10 )

RS = 30

Therefore, the length of side RS of the rectangle is 30 units.

Learn more about of area of rectangle here: https://brainly.com/question/27612962

#SPJ1

Answer:

6-(4*x) This is your answer, because less than is also another word for subtraction.                              

Answer:

7.4

Step-by-step explanation:

NOT 8.1 !!

The length of arc RQ is 7.35 inch.

The distance between two places along a segment of a curve is known as the arc length.

Arc Length Formula (if θ is in degrees) s = 2 π r (θ/360°)

Given:

Angle = 65

radius = 6.48 inch

So, length of Arc

= 2πr( \(\theta\)/ 360)

= 2 x 3.14 x 6.48 (65/360)

= 40.6944 x 0.1805

= 7.3453392

Hence, the length of arc is 7.35 inch.

Learn more about Arc Length here:

https://brainly.com/question/16403495

#SPJ2

The degree of polynomial 3x^4-0x^3+0x^5 is 4

Degree of a polynomial is the highest power that its terms pertain (for multi-variables, the power of term is addition of power of variables in that term).

Thus, in

x^3+3x+5

, the degree of the polynomial is 3 as the highest power in its terms is 3.

(power and exponent are same thing)

Given;

Polynomial= 3x^4-0x^3+0x^5

The highest degree from first observation seems to be 4 but the term with exponent 4 is being multiplied with zero so the degree is then 4;

Therefore, the correct degree will be 34

Read more about Degree of Polynomials at; brainly.com/question/12700460

#SPJ1

The regression formula estimated when performing a test for the stationarity of a time series variable y is y(t) = α + β*t + ε(t).

a. The null hypothesis of this test is that the time series variable y is non-stationary, meaning it has a unit root.

b. To determine whether two variables are cointegrated, the following steps are typically involved:

1) Identify the two variables: Select two time series variables, denoted as X(t) and Y(t), that are suspected to be related in a long-run equilibrium.

2) Test for unit roots: Conduct unit root tests on both X(t) and Y(t) to determine if they are stationary.

3) Estimate the cointegration regression: If both variables are non-stationary, estimate the cointegration regression model, typically using methods like the Engle-Granger two-step procedure or the Johansen test. This regression model takes the form Y(t) = α + β*X(t) + ε(t).

4) Test for the presence of a cointegrating relationship: Perform hypothesis tests on the estimated coefficients to check if the β coefficient is significantly different from zero, indicating the presence of a cointegrating relationship.

5) Interpret the results: If the null hypothesis of no cointegration is rejected, it suggests that X(t) and Y(t) are cointegrated, meaning they have a long-run relationship.

Cointegration analysis is used to determine whether two variables move together over time, despite being non-stationary individually. It helps in understanding the long-run equilibrium relationship between variables and can be valuable in modeling and forecasting.

Learn more about null hypothesis here:

https://brainly.com/question/30821298

#SPJ11

To price the derivative using the two-period binomial model, we need to calculate the expected payoff of the derivative using the risk-neutral probabilities.

The possible outcomes for the two-period binomial model are H and T,  there are four possible states of the world: HH, HT, TH, and TT.

To calculate the expected payoff we need to calculate the probability of each state occurring. The probability of HH occurring is pp=0.60.6=0.36, the probability of HT and TH occurring is pq+qp=0.60.4+0.40.6=0.48, and the probability of TT occurring is qq=0.40.4=0.16.

Next, we can calculate the expected payoff in HH and TT states, the derivative pays off 1, and in the HT and TH states, the derivative pays off 0. The expected payoff of the derivative in the HH and TT states is 10.36=0.36, and the expected payoff in the HT and TH states is 00.48=0.

We need to discount the expected payoffs back to time 0 using the risk-neutral probabilities.

The probability of that state occurring multiplied by the discount factor, which is 1/(1+r), where r is the risk-free interest rate.

Since this is a risk-neutral model, the risk-free interest rate is equal to 1. Therefore, the risk-neutral probability of each state occurring is

HH: 0.36/(1+1) = 0.18

HT/TH: 0.48/(1+1) = 0.24

TT: 0.16/(1+1) = 0.08

Finally, we can calculate the price of the derivative

Price = 0.181 + 0.240 + 0.240 + 0.081 = 0.26

Therefore, the price of the derivative is 0.26.

For similar question on two-period binomial model

https://brainly.com/question/9362207

#SPJ11

Answer:

It's 87.

Step-by-step explanation:

See the picture upside down.

Answer:

Chord

Step-by-step explanation:

Notice that the highlighted part is the line segment that joins the points J and E on the circle, which is known as a chord.

Diameter = GK

Radius= JL

Chord= HI

JL=3

A circle is a fundamental 2D form whose radius is quantified. The interior and exterior parts of the aircraft are separated by the circles. It is similar to the type of line segment. Consider the line segment being bent till the ends meet. Make sure the loop is perfectly circular by arranging it.

A two-dimensional figure with an area and perimeter is a circle. The distance around a circle, or its circumference, is also known as its perimeter. The area of a circle is the area that it surrounds on a 2D plane.

radius = diameter /2

Diameter = GK

Radius= JL

Chord= HI

Since radius is half of diameter,

So, JL =GK/2 =6/2

                        = 3

To learn more about properties of circle, refer to  https://brainly.com/question/24375372

#SPJ9

On solving the provided question, we can say that integral  =  \(\int\limits^a_b \,\)t√9 + 16t² dt  =   \(\int\limits^a_b \,\)√9 + 16t² d (9 + 16t²)

In mathematics, integrals translate integers into functions that express concepts like displacement, area, and volume that result from the combination of little facts. Integral discovery is a process that is referred to as integration. Integrals are mathematical constructs that, in calculus, have the same meaning as areas or generalized versions of areas. The main goal of calculus is to work with derivatives and integrals. Primitives and inverse derivatives are other terms for integral. Integration is essentially utilized to determine the area of 2D space and determine the volume of 3D objects. As a result, calculating an integral of a function with respect to x entails calculating the area between the curve and the x-axis.

integral

Curves, x = t³ or,

 = 3t²

y = t⁴ or,

  = 4t³  

Now, the line integral along C will be:

→  =  \(\int\limits^a_b \,\)√(3t²)² + (4t³)² dt

            =  \(\int\limits^a_b \,\)√9t⁴ + 16t⁶ dt

            =  \(\int\limits^a_b \,\)√9 + 16t² dt

           =  \(\int\limits^a_b \,\)√9 + 16t² dt

            =  \(\int\limits^a_b \,\)t√9 + 16t² dt

            =   \(\int\limits^a_b \,\)√9 + 16t² d (9 + 16t²)

To know more about integral visit:

https://brainly.com/question/18125359

#SPJ4

Answer:

4 years

Step-by-step explanation:

Answer:

7 years without either of them, 13 years without your father.

Step-by-step explanation:

I'm so sorry for your loss

The total amount to be paid at the end of the 10-year period is $24,465. The correct answer is option d. To calculate the total amount to be paid, we need to consider the compounded interest on the borrowed amount.

The nominal interest rate of 12% compounded quarterly means that interest is added to the principal four times a year. Using the formula for compound interest, we can calculate the future value of the loan. The formula is given as:

Future Value = Principal * (1 + (Nominal Interest Rate / Number of Compounding Periods))^Number of Compounding Periods * Number of Years

In this case, the principal is $7,500, the nominal interest rate is 12% (or 0.12), the number of compounding periods per year is 4 (quarterly), and the number of years is 10.

Plugging in these values into the formula, we get:

Future Value = $7,500 * (1 + (0.12 / 4))^(4 * 10) = $24,465

Therefore, the total amount to be paid at the end of the 10-year period is $24,465. The correct answer is option d.

Learn more about principal here: brainly.com/question/27870032

#SPJ11

On solving the provided question, we can say that integral so the value = (2/108) [429981697] = 7962624,02

In mathematics, integrals translate integers into functions that express concepts like displacement, area, and volume that result from the combination of little facts. Integral discovery is a process that is referred to as integration. Integrals are mathematical constructs that, in calculus, have the same meaning as areas or generalized versions of areas

∫C) y³ × ds = 7962624,02 surface units

 F (r(t)) =   y³ . = t³ .          r ( t³ , t )  then .    dr/dt = (3×t² , 1 )

|| dr/dt|| = √ ( 3×t²)² + (1)²

|| dr/dt|| = √9×t⁴ + 1

∫C) y³ × ds   = ∫∫R) F(r(t) × dr . =  ∫₀⁴ t³ ×√9×t⁴ + 1    ×dt

9×t⁴ + 1  = v .  then .    36×t³ ×dt = dv

And when  t = 4 .  then . v = 9×(4)⁴ + 1 . = 2305

integral

∫₁²³⁰⁵ [ 1/36)× √v × dv . =   (1/36) ×∫₁²³⁰⁵ (v)¹/² dv  

= (1/36)×(2/3) × v³/² |₁²³⁰⁵ = (2/108)× √v³|₁²³⁰⁵ =

= (2/108) [ √( 9×t⁴ + 1 )³|₀⁴ =  (2/108) [ √( 9⁴×4¹⁶ + 1  - √(9)⁴×0 + 1)

=  (2/108) [√( (9⁴×4¹⁶ + 1 ) . + 1 ]

= (2/108) [429981697]

= 7962624,02

To know more about integral visit:

https://brainly.com/question/18125359

#SPJ4

Answer:

Dependant

Step-by-step explanation:

Its dependant because when you take out one chocolate another may fall and take its place.

The equations provided, 3.64 + 7 = hundredths, 3.64 : 7 = hundredths, and 3.64 = 7 = ?, involve calculations with decimal numbers and the concept of hundredths. We will explain the meaning of hundredths and clarify the solutions for each equation.

In decimal notation, each digit after the decimal point represents a fraction of a whole number. The first digit after the decimal point represents tenths, the second digit represents hundredths, and so on. For example, in the number 3.64, the 6 represents tenths, and the 4 represents hundredths.

1. In the equation 3.64 + 7 = hundredths, we need to add 7 to the decimal number 3.64 and express the result in hundredths. Adding 7 to 3.64 gives us 10.64. The number 10.64 is already in hundredths since the 6 represents tenths and the 4 represents hundredths.

2. In the equation 3.64 : 7 = hundredths, we need to divide 3.64 by 7 and express the result in hundredths. Dividing 3.64 by 7 gives us approximately 0.52. This means that 3.64 is approximately equal to 0.52 hundredths.

3. The equation 3.64 = 7 = ? does not make sense mathematically. It implies that 3.64 is equal to 7, which is not true. Therefore, there is no meaningful solution for this equation.

To summarize, the first two equations involve calculations with decimal numbers and express results in hundredths. The third equation, however, is not valid as it equates two values that are not equal.

To learn more about equation, click here:

brainly.com/question/29657983

Complete question:

Complete the equations below:

3.64 + 7 = _______ (express the result in hundredths)

3.64 : 7 = _______ (express the result in hundredths)

3.64 = 7 = _______

#SPJ11

Answer: at 11:54

Step-by-step explanation:

Let's define the 10:30 as our t = 0 min.

We know that Train A stops every 12 mins, and Train B stops every 14 mins, they will stop at the same time in the least common multiple of 12 and 14.

To find the least common multiple of two numbers, we must do:

LCM(a,b) = a*b/GCD(a,b)

Where GCD(a, b) is the greatest common divisor of a and b.

In this case the only common divisior of 12 and 14 is 2.

So we have:

LCM(12, 14) = 12*14/2 = 84.

Then the both trains will stop 84 minutes after 10:30

one hour has 60 mins, so we can write 84 minutes as:

1 hour and 24 minutes = 1:24

Then they will stop at the same time at 10:30 + 1:24 = 11:54

Answer:

The radius of the pizza is 5 inches. The circumference of the pizza is about 31.4 inches.

Step-by-step explanation:

Slope 2 and y intercept is 10

The question seems to be incomplete and complete and the complete question is shown in the image

The slope of a line is the ratio of the amount that y increases as x increases some amount. Slope tells you how steep a line is, or how much y increases as x increases.

When x = 0, the corresponding y-value is the y-intercept. In the particular context of word problems, the y-intercept (that is, the point when x = 0) also refers to the starting value.

Y-intercept is the point  at which the line intersects the y axis- meaning x = 0

From the table y = -20 when x= 0

y-intercept: -20

To find the slope

m = ΔY/ΔX

m = -20+10/0-5 = 2

Hence the slope is 2 and y intercept is 10

Learn more about Slope intercept form here

https://brainly.com/question/1884491

#SPJ4

Answer:

2=40 3=140 4=40

Step-by-step explanation:

the center line is equal to 180 degrees so if angle 1 is 140, 180-140=40 angle 2=40

angle 2 and 4 and the same by some process (its been awhile since geometry to remember exact terms)

angle 1 and 3 are the same (same reason)

Answer:

<2 is 40°, <3 is 140°, <4 is 40°

Step-by-step explanation:

Angle 1 and angle 3 are equal because of the vertical angles theorem. Angle 2 is supplementary to angle 3(<3 = 140°), so 180 - 140 = 40°. <2 and <4 are equal because of the vertical angles theorem.

Answer:

2xy is the term in this question

Let the circumference of the circle be c and the diameter be d.

Then

Since c =36m

Then

Answer:

Select the plain line in the Insert Shapes group. Place your cursor where you want a tick mark on your line, hold the "Shift" key, and drag to create a vertical mark. Holding the Shift key ensures a straight line.

Step-by-step explanation:

From the inequality graph, the solution to the inequalities is: (4, -2/3)

There are different tyes of inequalities such as:

Greater than

Less than

Greater than or equal to

Less than or equal to

Now, the inequalities are given as:

y < (1/3)x - 2

x < 4

Thus, the solution to the given inequalities will be gotten by plotting a graph of both and the point of intersection will be the soilution which in the attached graph we see it as (4, -2/3)

Read more about Inequality Graph at: https://brainly.com/question/11234618

#SPJ1

Answer:

5/6

Step-by-step explanation:

There are 5 steps to solving this problem:

Using these steps, we see that:

Answer: 137,00

Step-by-step explanation:

The domain of a function is the value x that varies.

here x is varying from -4 and it is going to infinity

so the answer is

the domain for the given graph is

So the answer is option (A).