What happens to the value of the expression n+15n+15n, plus, 15 as nnn decreases?
Choose 1 answer:
Choose 1 answer:

(Choice A)
A
It increases.

(Choice B)
B
It decreases.

(Choice C)
C
It stays the same.

Answer:

T=6 NUMBER OF TEN DOLLAR BILLS.

F=13 NUMBER OF FIVE DOLLAR BILLS.

Step-by-step explanation:

F+T=19 F=19-T

5F+10T=125 NOW SUBSTITUTE (19-T) FOR F IN THIS EQUATION & SOLVE FOR T

5(19-T)+10T=125

95-5T+10T=125

5T=125-95

5T=30

T=30/5

PROOF

5*13+10*6=125

65+60=125

125=125

Answer:

12÷3=4

4inches is 2/3 of a foot.

The integral: S1 0 (-x³ - 2x² - x + 3)dx is -1/12

An integral is a mathematical operation that calculates the area under a curve or the value of a function at a specific point. It is denoted by the symbol ∫ and is used in calculus to find the total amount of change over an interval.

To evaluate the integral:

\($ \int_0^1 (-x^3 - 2x^2 - x + 3)dx $\)

We can integrate each term of the polynomial separately using the power rule of integration, which states that:

\($ \int x^n dx = \frac{x^{n+1}}{n+1} + C $\)

where C is the constant of integration.

So, we have:

\($ \int_0^1 (-x^3 - 2x^2 - x + 3)dx = \left[-\frac{x^4}{4} - \frac{2x^3}{3} - \frac{x^2}{2} + 3x\right]_0^1 $\)

Now we can substitute the upper limit of integration (1) into the expression, and then subtract the result of substituting the lower limit of integration (0):

\($ \left[-\frac{1^4}{4} - \frac{2(1^3)}{3} - \frac{1^2}{2} + 3(1)\right] - \left[-\frac{0^4}{4} - \frac{2(0^3)}{3} - \frac{0^2}{2} + 3(0)\right] $\)

Simplifying:

\($ = \left[-\frac{1}{4} - \frac{2}{3} - \frac{1}{2} + 3\right] - \left[0\right] $\)

\($ = -\frac{1}{12} $\)

Therefore,

\($ \int_0^1 (-x^3 - 2x^2 - x + 3)dx = -\frac{1}{12} $\)

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The limit of the ratio test is greater than 1, the series is divergent by the ratio test. Therefore, we can conclude that the series [infinity] 15n(n+1)^5/(2n+1) is divergent.

To apply the ratio test, we need to compute the limit of the ratio of consecutive terms: lim (n→∞) |(15n(n+1)^5)/(2n+1)|
We can simplify this expression by dividing the numerator and denominator by n^5: lim (n→∞) |(15(n+1)/(n))((n+1)/n)^5/(2/n+1)|. As n goes to infinity, the first factor approaches 15 and the third factor approaches 0. Therefore, we have:lim (n→∞) |15((n+1)/n)^5/(2/n+1)|

To evaluate this limit, we can use L'Hôpital's rule: lim (n→∞) |(5(n+1)/n^2)((n+1)/n)^4/(−2/n^2)|
Simplifying the numerator and denominator, we get: lim (n→∞) |(5(n+1)/(−2))(n+1)/n^6|
The factor of (n+1)/n^6 goes to 0 as n goes to infinity, so we are left with: lim (n→∞) |(5(n+1)/(−2))| = ∞

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The table values using function rule y = -10x - 2 is (8,-2,-12,-52)

Given function

y = -10x - 2

From the table

x = -1 , 0 , 1 , 5

substitute x values in function

if x = -1

y = -10x - 2

= -10(-1) - 2

= 10 - 2

y = 8  

if x = 0

y = -10(0) -2

y = -2

if x = 1

y = -10(1) - 2

y  = -12

if x = 5

y = -10(5) -2

y = -52

y values (8,-2,-12,-52)

Table:

x      y

-1     8

0    -2

1     -12

5    -52

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Answer:

\(x=10\)

Step-by-step explanation:

\(10x+5=105 \\ \\ 10x=100 \\ \\ x=10\)

Answer:

x=10

Step-by-step explanation:

10x+5=105

     -5     -5

10x=100

divide by 10

x=10

Answer:

the answer would be 12

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

.6 × 20 = 12. Hope this helps!

Answer:

(a) I'm pretty sure it's $71.75

(b) the total would be $771.75 if i calculated it right...

The correct answer is option C: x = -4, x = 4. Both values of x satisfy the equation 7x^2 - 112 = 0.

To solve the given equation, we need to isolate the variable x. Firstly, we add 112 to both sides of the equation to eliminate the constant term. This gives us the equation 7x^2 = 112.

Next, we divide both sides by 7 to get x^2 = 16. Taking the square root of both sides, we get two possible values of x: x = ±4. It is important to check the solutions obtained by substituting them back into the original equation to ensure they are valid.

In this case, both -4 and 4 make the equation true, so both values are acceptable.

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Answer:   x = 41

Step-by-step explanation:

4x - 68 = 2x + 14         [since alternate interior angles are equal]

4x - 2x = 14 + 68

       2x = 82

         x = 41

Answer:

x=41

Step-by-step explanation:

this problem can be solved using the alternate interior angles converse theorem, which states that if two coplanar lines are cut by a transversal so that a pair of alternate inerior angles are congruent, then the two lines are parallel.

4x-68=2x+14

2x-68=14 <- subtract 2x from both sides

2x=82 <- add 68 to both sides

x=41 <- divide both sides by 2

check:

4(41)-68=96

2(41)+14=96

Step-by-step explanation:

the distributive property is 6(1+5), the greatest common factor is 6

Answer:

6(1+5)

Step-by-step explanation:

khan told me

For this problem, we have datapoints (0,2), (1,4.5), (3,7), (5,7), (6,5.2). We expect these points to lie roughly on a deviation parabola, and we want to find the quadratic equation y(t) Bo + Bit + Bat

which best approximates this data (according to a least squared error minimization). Let's figure out how to do it.(a)Find a formula for the vector y(3) in terms of Bo, B1, and B2.Hint: Plug in 0, 1, etcetera y(5) y(6) into the formula for y(t).y(0) = Boy(1) = Bo + B1y(3) = Bo + 3B1 + 9B2y(5) = Bo + 5B1 + 25B2y(6) = Bo + 6B1 + 36B2(b)

Let x = [B0, B1, B2]TA = [1, 0, 0; 1, 1, 1; 1, 3, 9; 1, 5, 25; 1, 6, 36]x = [y(0), y(1), y(3), y(5), y(6)]T(c)For the rest of this problem, please feel welcome to use computer software, e.g. to find the inverse of a 3 x 3 matrix. Find the normal equation for the minimization of || Ax – b||, where 2 4.5 b= 7 7 5.2

The normal equation is A^TAx = A^TbA^TA = [5, 15, 55; 15, 55, 205; 55, 205, 781]A^Tb = [25.7, 129.5, 476.7]x = [Bo, B1, B2]T(d)

Solve the normal equation, and write down the best-fitting quadratic function.

A^TAx = A^Tb => x = (A^TA)^-1(A^Tb)x = [1.9241, -0.1153, -0.0175]Tbest-fitting quadratic function:y(t) = 1.9241 - 0.1153t - 0.0175t2

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If they indicate a different door, they are lying. Based on their response, you can determine which door leads to the treasure.

To determine which person always tells the truth and which person always lies, you can ask any one of them a question whose answer you already know. For example, you could ask "What is my name?" and then verify the answer with someone else. Once you have identified the person who always tells the truth and the person who always lies, you can ask the person who sometimes tells the truth or lies a question that will allow you to determine whether they are telling the truth or lying. A good question to ask the person who sometimes tells the truth or lies is "If I asked one of the other two people which door leads to the treasure, what would they say?" If the person responds by indicating the door that leads to the treasure, they are telling the truth.

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Trevor and Kim will be situated 21 kilometers apart from each other at 1:30 PM. They will be separated by a distance of 21 km when the clock strikes 1:30 in the afternoon.

To determine at what time Trevor and Kim will be 21 km apart, we can set up a distance-time equation based on their relative speeds and distances.

Let's assume that t represents the time elapsed in hours since noon. At time t, Trevor would have traveled a distance of 8t km, while Kim would have traveled a distance of 6t km in the opposite direction.

Since they are running in opposite directions, the total distance between them is the sum of the distances they have traveled:

Total distance = 8t + 6t

We want to find the time when this total distance equals 21 km:

8t + 6t = 21

Combining like terms, we have:

14t = 21

To solve for t, we divide both sides of the equation by 14:

t = 21 / 14

Simplifying, we find:

t = 3 / 2

So, they will be 21 km apart after 3/2 hours, which is equivalent to 1 hour and 30 minutes.

Therefore, Trevor and Kim will be 21 km apart at 1:30 PM.

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The values of a and b that make the line y = a⋅bx tangent to the line y=x+4 at x = 0 are a = 4 and b = 4

First, let's evaluate the exponential function y = a⋅bx at x = 0:

y = a⋅b(0)

y = a⋅1

y = a

So, the value of y for the exponential function at x = 0 is equal to a.

Now, let's evaluate the line y = x + 4 at x = 0:

y = 0 + 4

y = 4

To have the two lines tangent at x = 0, we need the y-values to be equal. Therefore, we have:

a = 4

Now, let's consider the derivative of y = a⋅bx:

dy/dx = abx-1

To find the value of b, we need to equate the derivative to the slope of the line y = x + 4, which is 1:

abx-1 = 1

Substituting x = 0:

ab0-1 = 1

ab-1 = 1

a/b = 1

Since we know that a = 4, we can substitute this value:

4/b = 1

Solving for b:

b = 4

∴ a = 4 and b = 4.

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Answer:

r=d/t

Step-by-step explanation:

Step 1: Flip the equation.

rt=d

Step 2: Divide both sides by t.

rt/t=d/t

r=d/t

The mean and median of the data are equivalent and the value is 6.

The mean (average) of a data set can be calculated by adding up all the numbers in the collection and dividing by the total number of values in the set.

Let us find the mean of the data set :

mean =  (4 + 5 + 6 + 7 + 8) ÷ 5 = 30÷ 5 = 6

Median = 6 middle value.

Therefore the mean and median are equivalent.

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The correct pair of constraints that needs to be added to specify that production of product 2 in period 4 and in period 5 differs by no more than 80 units is: P24 - P25 <= 80; P25-P24 <= 80. Therefore, the correct option is 5.

Here, the given information is Pij = the production of product i in period j. We need to find the pair of constraints that will specify that production of product 2 in period 4 and in period 5 differs by no more than 80 units. Thus, let the production of product 2 in period 4 and in period 5 be represented as P24 and P25 respectively.

Therefore, we can write the following inequalities:

P24 - P25 <= 80

This is because the production of product 2 in period 5 can be at most 80 units less than that of period 4. This inequality represents the difference being less than or equal to 80 units.

P25-P24 <= 80

This is because the production of product 2 in period 5 can be at most 80 units more than that of period 4. This inequality represents the difference being less than or equal to 80 units.

Therefore, we need to add the pair of constraints P24 - P25 <= 80 and P25-P24 <= 80 to specify that production of product 2 in period 4 and in period 5 differs by no more than 80 units. Hence, option 5 is the correct answer.

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We say cubic polynomial if the degree of polynomial is odd number, and the graph is said cubic polynomial graph.

The equation which has only positive integer exponent are called   polynomial function. Such as 6x³+4x²+2x+1=0 where the power 3,2, 1 are the degree of polynomial.

The polynomial function whose first degree is odd number is called cubic polynomial.

hence, the graph is cubic polynomial.

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Answer:

6m²-5my-12m

Step-by-step explanation:

dont get it oooo

Answer:

On khan Academy,

it is m-y/2

Answer:

Step-by-step explanation:

we want to find the Hypotenuse of the triangle being made by the string , the ground and the height off the ground.  Also we will have to subtract the small triangle of the boy's hand from the ground

the big triangle Hyp is found by using

SOH   or  Sin = Opp / Hyp

we know the sin and the Opposite soooo

Sin(40) = 30 / Hyp

Hyp = 30 / Sin(40)    [ I'll use my calculator for this ]

Hyp = 46.67 m   ( this is the Hypotenuse of the big triangle )

the small one is

Sin(40) = 1.5 / Hyp

Hyp = 1.5 / Sin(40)  [calculator again ]

Hyp = 0.9641 m

Now subtract the small one from the big one

46.67 - 0.9641 = 45.7 m

rounding to the nearest meter the answer is 46 m

Answer:

Step-by-step explanation:

The total area enclosed for a circle must be 40 inches.

To calculate how much wire should be used for the circle, use the formula for the circumference of a circle, C = 2πr, where r is the radius of the circle.

Plugging in the area (A = πr2), you get C = 2*(A/π)1/2. Thus, the total length of wire needed for the circle is 2*(40/π)1/2, which is approximately 12.8 inches.

To calculate the length of wire needed for the circle, the formula for the circumference of a circle is used. This is because the circumference of the circle is the total length of wire needed to make the shape.

The formula for the circumference of a circle is C = 2πr, where r is the radius of the circle. Since we know the area of the circle, A = πr2, we can plug this into the equation for the circumference to get C = 2*(A/π)1/2.

Plugging in the total area (40 inches) gives us the total length of wire needed, which is approximately 12.8 inches.

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Fall: 275 radials

Winter: 325 radials

Spring: 162 radials

Summer: 638 radials

The demand for each season is estimated based on the historical sales data provided and the projected increase in sales for the upcoming year.

To calculate the estimated demand for each season, we take the average of the past two years' sales for each season and then adjust it proportionally to the projected total sales for the next year.

Here's the breakdown of the calculation for each season:

Fall: Taking the average of the past two years' fall sales (220 and 260) gives us \(\frac{220+260}{2}\)= 240. We then adjust this value proportionally to the projected sales for next year: (\(\frac{240}{580}\)) * 1,400 ≈ 575. Rounding this to the nearest whole number, we get an estimated demand of 575 radials for the fall season.

Winter: Following the same process, we find the average of the past two years' winter sales (350 and 310) as \(\frac{350+310}{2}\) = 330. Adjusting this value proportionally to the projected sales for next year: (\(\frac{330}{660}\)) * 1,400 ≈ 700. Rounded to the nearest whole number, the estimated demand for the winter season is 700 radials.

Spring: Calculating the average of the past two years' spring sales (150 and 175) gives us \(\frac{150+175}{2}\) = 162. Adjusting this value proportionally to the projected sales for next year: (\(\frac{162}{325}\)) * 1,400 ≈ 698. Rounded to the nearest whole number, the estimated demand for the spring season is 698 radials.

Summer: Similarly, taking the average of the past two years' summer sales (320 and 615) gives us \(\frac{320+615}{2}\) = 467. Adjusting this value proportionally to the projected sales for next year: (\(\frac{467}{935}\)) * 1,400 ≈ 700. Rounded to the nearest whole number, the estimated demand for the summer season is 700 radials.

Therefore, based on the projected sales of 1,400 radials next year, the estimated demand for each season is approximate: Fall - 575 radials, Winter - 700 radials, Spring - 698 radials, and Summer - 700 radials.

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Answer:

AC ≈ 4.7 ft.

Step-by-step explanation:

GIVEN :-

TO FIND :-

FACTS TO KNOW BEFORE SOLVING :-

\(\cos \theta = \frac{Side \: adjacent \: to \: \theta}{Hypotenuse}\)

SOLUTION :-

Side adjacent to ∠A = AC = x

Hypotenuse = AB = 5 ft

⇒ \(\cos 20 = \frac{x}{5}\)

⇒ \(0.9396.... = \frac{x}{5}\)

⇒ \(x = (0.9396...) \times 5 = 4.6984....\) ≈ 4.7 ft

The simplified expressions represent the level of consumption, investment, and net exports at a particular level of income and interest rates.

The consumption function represents the relationship between the aggregate level of consumption and the total level of income in the economy.

The investment function shows the level of investment planned by businesses at different interest rates. The net export function calculates the difference between exports and imports as a function of income, while the level of imports is positively related to the level of income, and exports are negatively related to the level of income.

Given:C = 3.25 + 0.75(Y - 3)

We can simplify the consumption function as follows:

C = 1 + 0.75YY - 3 = disposable income = Yd

C = 1 + 0.75(Yd)

C = 1 + 0.75Y

For the investment function: I = 1.3 - 0.3r

Where I is investment and r is the interest rate.

For the net export function: NX = -1 + 0.1Y

Thus, the simplified expressions for the consumption function, investment function, and net export function are:

C = 1 + 0.75YI = 1.3 - 0.3rNX = -1 + 0.1Y

The simplified expressions represent the level of consumption, investment, and net exports at a particular level of income and interest rates.

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Answer:

2187+4

= 2191

Step-by-step explanation:

plz brainliest :)

The row numbers along the left side of the worksheet are 1, 2, 4, 5, 6. We can observe that there is a missing number in the sequence, specifically the number 3. Therefore, based on the pattern, we can deduce that row 3 is missing from the worksheet.

Based on the given information, the row numbers along the left side of the worksheet are 1, 2, 4, 5, 6, with a missing number in the sequence, which is the number 3.

The presence of the numbers 1, 2, 4, 5, and 6 indicates that rows corresponding to those numbers exist in the worksheet. However, there is no row with the number 3 mentioned in the sequence. Thus, we can conclude that row 3 is missing from the worksheet.

It is important to note that the missing row could be intentional or accidental, but based on the given information, we can deduce that there is a discontinuity in the row numbering, specifically the absence of row 3.

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Answer:

First rememeber that if we have a function like:

g(x) = x^n

then:

dg(x)/dx = g'(x) = n*x^(n - 1)

And also if we have:

g(x) = f(x) + h(x)

then:

dg(x)/dx = g'(x) = f'(x) + h'(x)

1) We have the function f(x) = (x + 1)^2

We can rewrite this as:

f(x) = x^2 + 2*x + 1

Using both things written above, we know that:

f'(x) = 2*x + 1*2 = 2*x + 2

And we want to find f'(-2), so we only need to evaluate the above function in x = -2, this is:

f'(-2) = 2*-2 + 2 = -4 + 2 = -2

f'(-2) = -2

b) I suppose that this refers to the inverse function of f(x)

An inverse function is such that:

g( f(x)) = x

f( g(x)) = x

For f(x) = (x + 1)^2

The inverse will be something that first cancels that square, and then subtracts 1.

Then:

g(x) = √x - 1

if we evaluate this in f(x) we get:

g( f(x)) = √(f(x)) - 1 = √(x + 1)^2 - 1 = (x + 1) - 1 = x

Then the inverse function of f(x) is:

g(x) = √x - 1

This can also be written as:

g(x) = x^(1/2) - 1

Then the derivative of this will be:

g'(x) = (1/2)*x^(1/2 - 1) = (1/2)*x^(-1/2) = (1/2)*(1/√x)

The measure of the angle m∠CBD between points CD is equal to 495°°

From the question, we observe that the larger angle between AD consists of the two angles between m∠ABC and m∠CBD, so we shall sum the two small angles and equate the result to the larger angle m∠ABD to solve for the value of x as follows:

7x - 9 + 6x + 27 = 96

x + 18 = 96

x = 96 - 18 {collect like terms}

x = 78

put the value of x in m∠CBD;

m∠CBD = 6(78) + 27

m∠CBD = 495

In conclusion, the measure of the angle m∠CBD between points CD is equal to 495°

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