Select the correct graph.
Which graph is the graph of function
f(x) =4^x

 The limit, as n approaches infinity, of the summation of cos(xi)∆x / xi from i = 1 to n over the interval [2π, 5π], can be expressed as the definite integral of cos(x)/x from 2π to 5π.

To express the given limit as a definite integral, we need to recognize that the limit is equivalent to the Riemann sum of the function cos(x)/x over the interval [2π, 5π]. The Riemann sum approximates the area under the curve of the function by dividing the interval into smaller subintervals and summing the values of the function at each subinterval.
In this case, as n approaches infinity, the interval [2π, 5π] is divided into n subintervals, each with width ∆x = (5π - 2π)/n = 3π/n. The xi values represent the endpoints of these subintervals. The function cos(xi)∆x / xi is evaluated at each xi, and the sum is taken over all the subintervals from i = 1 to n.
As n tends to infinity, the Riemann sum converges to the definite integral of cos(x)/x over the interval [2π, 5π]. Therefore, the given limit can be expressed as the definite integral from 2π to 5π of cos(x)/x.

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the complete question is:
Express the limit as a definite integral on the given interval. lim n→[infinity] summation i is from 1 to n cos(xi)∆x /xi [2π, 5π] = integral 2π to 5π ???

Answer:

The absolute value of -34 is greater than 33

Step-by-step explanation:

We convert -34 to its absolute form i.e

\( | - 34 = 34| \)

Now comparison,

34 > 33

Hence, this statement is correct.

Graph of each objective function using linear programming.

Here,

Putting the equation equal to 420 and plotting the graph by finding the value of A and By putting A=0 and finding B then putting B=0 and finging A.

For example putting A=0 in 7A+10B=420 will yield  (0,42) and Putting B=0 will yield (60, 0). plotting theses points on graph and joining them to generated the line.

Repeating thin step for each objective function and plotting the graph.

7A + 10B = 420 is labelled as a.

6A+4B = 420 is labelled as b.

-4A + 7B = 420 is labelled as c .

The graph of each function is attached below.

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Answer:

17.75

Step-by-step explanation:

To the nearest year, $5,000 invested at 5% per year, compounded daily, will be worth $10,000 in approximately 14 years.

To determine the time it takes for the investment to double, we can use the compound interest formula: A = P(1 + r/n)^(n*t), where A is the future value, P is the principal amount, r is the annual interest rate, n is the number of times interest is compounded per year, and t is the number of years.

In this case, the principal amount (P) is $5,000, the annual interest rate (r) is 5% (or 0.05), and the investment is compounded daily, so the number of times interest is compounded per year (n) is 365. We want to find the number of years (t) it takes for the investment to reach $10,000.

Setting up the equation: 10,000 = 5,000(1 + 0.05/365)^(365*t), we can solve for t using logarithms or trial and error. The result is approximately 14 years. Therefore, it will take approximately 14 years for the $5,000 investment to grow to $10,000 at a 5% annual interest rate, compounded daily.

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The height of the building on the scale model created by the architect is 40 centimeters long.

Scale factor is the factor which is used to enlarge or smaller the original figure.

Scale factor is the ratio of representation measurement of the figure to the original figures.

The architect creates a scale model of a building with a scale of,

\(\rm 5 \;cm =4 \; m\)

As, one meter is equal to 100 centimeters. Thus, the scale factor used by the architect for the building is,

\(r=\dfrac{5}{400}\\r=\dfrac{1}{80}\)

Now the actual building is 32 m tall. Let suppose the height of the building on the model is x meters. Thus, the scale factor for this can be given as,

\(r=\dfrac{x}{3200}\)

Now, both the scale factor are of the same model. Therefore,

\(\dfrac{x}{3200}=\dfrac{1}{80}\\x=40\rm cm\)

Hence, the height of the building on the scale model created by the architect is 40 centimeters long.

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Answer:

What do you want me to do? It is already solved

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

try 2+2 that should work

If you have a good credit rating and can afford monthly payments of $441, you can borrow a certain amount from E-Loan for a 60-month auto loan at an interest rate of 4.8% compounded monthly. The total interest paid and the loan amount can be calculated using the given information.

To determine the loan amount, we can use the formula for the present value of an annuity:

Loan Amount = Monthly Payment * [(1 - (1 + Monthly Interest Rate)^(-Number of Payments))] / Monthly Interest Rate

Here, the monthly interest rate is 4.8% divided by 12, and the number of payments is 60.

Loan Amount = $441 * [(1 - (1 + 0.048/12)^(-60))] / (0.048/12)

Calculating this expression gives the loan amount, which is the amount you can borrow from E-Loan.

To calculate the total interest paid, we can subtract the loan amount from the total payments made over the 60-month period:

Total Interest = Total Payments - Loan Amount

Total Payments = Monthly Payment * Number of Payments

Total Interest = ($441 * 60) - Loan Amount

Calculating this expression gives the total interest paid for the loan.

Note: The precise numerical values of the loan amount and total interest paid can be obtained by performing the calculations with the given formula and rounding to two decimal places.

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it is given that,

the distance cover by may is 6 3/4 miles = 27/4 miles,

and fot noah , 4 1/2 miles = 9/2 miles,

so, the relation between the both rides is,

take ratio

thus, Noah's bike ride was2/3 times of Mays bike ride ​

and

thus, the answer is Mays bike ride was 3/2 times of noah's bike ride.

Answer:

Hey There!

Let's solve...

We know that the given line is

\(y = 4x + 8 \\ \)

Slope is

\(m_{g} = 4 \\ \)

The answer is perpendicular to m which is the negative reciprocal of m_g

\(m = - \frac{1}{ m_{g} } = - \frac{1}{4} \\ \)

\(y = 2 \\ x = 2(2) = - 1 \\ x = 4 - 1 = 3 \\ x = 3\)

The intersection point is

(3,2)

If we substitute the point into

\(y = mx + c \\ y = - \frac{1}{4}x + c \\ \)

Now let's solve y intercept...

\(2 = - \frac{1}{4}(3) + c \\ \\ c = 2 + \frac{3}{4} \\ \)

\( = \frac{8}{4} + \frac{3}{4} \\ \\ = \frac{8 + 3}{4} = \frac{11}{4} \)

Now the required lines are

\(y = - \frac{1}{4}x + \frac{11}{4} \\ \\ m = - \frac{1}{4} \\ \\ c = \frac{11}{4} \)

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

─━─━─━─━─━─━─━─━─━─━─━─

The correct answer is:

a) r gives the instantaneous growth rate; lambda gives the growth rate over a discrete time interval.

The difference between r and lambda lies in the way they represent growth rates.

"r" (intrinsic growth rate or per capita growth rate) is used to describe the instantaneous growth rate of a population. It is often used in continuous-time models, such as exponential growth models. The value of "r" indicates the rate at which a population grows or declines at any given moment.

"Lambda" (also known as finite rate of increase) represents the growth rate over a discrete time interval, such as a generation or a specific time period. Lambda is commonly used in discrete-time models, such as matrix population models. It quantifies the relative change in population size from one time period to the next.

Therefore, r and lambda capture growth rates, but they differ in terms of the time frame they consider and the type of population growth models they are associated with.

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Answer:

The slope is 0

Step-by-step explanation:

The equation is y = 9

As you cans ee thre isn't a slope.

Answer:

9-9/14-7=0/7= undefined

Step-by-step explanation:

you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points

False.

The span of {a1, a2} is the set of all linear combinations of a1 and a2. A linear combination of two vectors is of the form c1a1 + c2a2, where c1 and c2 are constants.

The span of {a1, a2} is the set of all linear combinations of a1 and a2. A linear combination of two vectors is of the form c1a1 + c2a2, where c1 and c2 are constants.

If a1 and a2 are linearly independent, then the span of {a1, a2} is the plane that contains a1 and a2. If a1 and a2 are linearly dependent, then the span of {a1, a2} is the line that contains a1 and a2.

So, in general, the span of {a1, a2} does not contain only the line through a1 and the origin, and the line through a2 and the origin. It can be a line, a plane, or all of R^3, depending on whether a1 and a2 are linearly dependent or independent.

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Answer:

I believe its the third one, its makes a symmetrical line so that's my guess

Step-by-step explanation:

The rest don't make a line

result = 39 - 39 x 3% = 39 x 0,97 = 37,83

Answer:

there is really no way to show but all you have to do is look at the angle across from angle 1 which is angle 4 because it is vertical to angle 1. hope that helps

Answer:

A

Step-by-step explanation:

The resulting change in volume when the radius of a sphere is doubled can be determined by examining the formula for the volume of a sphere.

The volume of a sphere is given by the formula:

V = (4/3) * π * r^3

When the radius (r) is doubled, we can substitute the new radius (2r) into the formula and calculate the new volume (V'):

V' = (4/3) * π * (2r)^3

V' = (4/3) * π * 8r^3

V' = (4/3) * π * 8 * r^3

V' = (32/3) * π * r^3

Comparing the new volume (V') with the original volume (V), we can see that the new volume is multiplied by a factor of (32/3) when the radius is doubled.

Therefore, the correct answer is:

A The original volume is multiplied by 32/3.

When the radius of a sphere is doubled, the resulting change in volume is given by option D: The original volume is multiplied by 8.

The volume of a sphere is proportional to the cube of its radius. When the radius is doubled, the new volume will be 2^3 = 8 times the original volume.

Answer:

84

Step-by-step explanation:

1110 = 150 + (15 * 64)

150 is 20 cameras, so we get 64 + 20 = 84 cameras

Answer:

93 cameras

Step-by-step explanation:

it's actually 92.6666666667 but i rounded

Answer:

C

Step-by-step explanation:

slope 0 means same y

so C (y is -5 for both)

if my answer helps please mark as brainliest.

Answer:

C

Step-by-step explanation:

A line with slope of zero means that the y value doesn't change like the x axis. so we'll need to find points that even though they have different x values, they have the same y value. That. being said C is the answer

Answer:  Choice B

\(\text{As } x \to \infty, \ f(x) \to \infty\)  and \(\text{As } x \to -\infty, \ f(x) \to \infty\)

==========================================================

Explanation:

Assuming that the only roots are x = -3 and x = 2, as shown by the table, then notice how f(x) > 0 at the very right hand side of the table. This indicates that f(x) will remain positive for this tail end. If f(x) were to become negative, then there would have to be another root somewhere beyond x = 2 (but that contradicts the assumption made at the top of the paragraph).

This allows us to say \(\text{As } x \to \infty, \ f(x) \to \infty\)

In other words, as x gets bigger, so does y. Both head to positive infinity together. We can informally describe this end behavior as "rises to the right".

----------------------

For the left side of the table, we also have positive f(x) values to the left of the root. So we see that f(x) > 0 as x heads off in the negative infinity direction.

We would then say \(\text{As } x \to -\infty, \ f(x) \to \infty\)

Regardless of what direction x goes (positive or negative infinity), the y = f(x) values are heading off to positive infinity. Informally, we could say "rises to the left".

Both endpoints rise together to positive infinity. Think of a parabolic curve that opens upward as one example.

All of this points to choice B as our final answer. Choice B can be rephrased as \(\text{As } x \to \infty \text{ or } x \to -\infty, \text{ then } \ f(x) \to \infty\)

The system of linear equations has no solutions for any value of k except when k = 2, where it has infinitely many solutions.

(a) To reduce the augmented matrix for the system of linear equations to row-echelon form, we can write the system of equations as:

2 - y = kx

-y = k

To eliminate y in the first equation, we can multiply the second equation by (-1) and add it to the first equation:

(2 - y) - (-y) = kx - k

2 = kx - k

This gives us a new system of equations:

2 = kx - k

Now, we can represent this system in augmented matrix form:

[1 -k | 2]

(b) To find the values of k, we can examine the augmented matrix.

If the system has no solutions, it means that the rows of the augmented matrix result in an inconsistent equation, where the last row has a leading nonzero entry. In this case, for the system to have no solutions, the augmented matrix should have a row of the form [0 0 | c], where c ≠ 0. In our case, the augmented matrix [1 -k | 2] doesn't have this form, so there are no values of k that lead to no solutions.

If the system has exactly one solution, the augmented matrix should be in row-echelon form, with each row having at most one leading nonzero entry. In this case, the augmented matrix should not have any rows of the form [0 0 | c], where c ≠ 0. In our case, the augmented matrix can be reduced to row-echelon form as follows:

[1 -k | 2]

From this form, we can see that there are no restrictions on the value of k. For any value of k, the system will have exactly one solution.

If the system has infinitely many solutions, the augmented matrix should have at least one row of the form [0 0 | 0]. In our case, the augmented matrix can be reduced to:

[1 -k | 2]

From this form, we can see that if k = 2, the last row becomes [0 0 | 0]. Therefore, for k = 2, the system will have infinitely many solutions.

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The area of the country can be calculated by dividing the population by the population density.

To find the area of the country, we can use the formula:

                      Area = Population / Population Density

Given that the country's population density is 347 people per square mile and the population is 2244, we can substitute these values into the formula:

                                       Area = 2244 / 347

Performing the division, we get:

Area ≈ 6.47 square miles

Rounding to the nearest whole number, the area of the county is approximately 6 square miles.

Note that the population density represents the number of people per square mile, and by dividing the total population by the population density, we can find the corresponding area in square miles.

Therefore, the area of the given country is 6.47 square miles.

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Answer:

6/12 or 1/2 or 50% or 0.5

Step-by-step explanation:

You have two 6-sided dice, and there are 3 odd numbers on each.

So, you put 6 on top, (the total number of odd outcomes) and 12 on the bottom. (12 total outcomes for both dice.) This simplifies to 1/2 or 50% or .5.