find the distance between each pair of points (0,3) (5,-3)

Answer:

well what are the figures

Step-by-step explanation:

Answer:

a = a

b = b

c = c

Step-by-step explanation:

Formula: \(a^2+b^2=c^2\)

C is always the largest number

a times a + b times b = c times c

Answer:

A

x= 3/x

Step-by-step explanation:

5kx + 6 = 7kx

collect like term

5kx - 7kx = -6

-2kx = -6

minus cancel out

=> 2kx = 6

divide bothside by 2k

=> x = 6/2k

=> x = 3/k

Answer:

Step-by-step explanation:

its A just trust :)

The statement "if f'(x) = g'(x) for 0 < x < 6, then f(x) = g(x) for 0 < x < 6" is false. This statement is False. If f'(x) = g'(x) for 0 < x < 6, it means that the derivatives of both functions are equal on the interval (0, 6).

However, this does not necessarily mean that the functions themselves are equal on that interval.

In other words, there could be a constant difference between f(x) and g(x), which would not affect their derivatives.

To illustrate this, consider the functions f(x) = x^2 and g(x) = x^2 + 1. The derivative of both functions is 2x, which is equal for all values of x.

However, f(x) and g(x) are not equal on the interval (0, 6), as g(x) is always greater than f(x) by 1.

Therefore, the statement "if f'(x) = g'(x) for 0 < x < 6, then f(x) = g(x) for 0 < x < 6" is false.

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Answer:

Step-by-step explanation:

\(6x^2-28x = - 16\\\\6x^2-28x + 16=0\\\\3x^2-7x+8=0\\\\9x^2-21x+24=0\\\\(3x)^2-2\cdot3x\cdot\frac72+(\frac72)^2-(\frac72)^2+24=0\\\\(3x-\frac72)^2-\frac{49}4+24=0\\\\(3x-\frac72)^2-12\frac{1}4+24=0\\\\(3x-\frac72)^2+12\frac{3}4=0\\\\(3x-\frac72)^2=-12\frac{3}4\)

Answer:

321

Step-by-step explanation:

Answer:

y=20+(Total distance−1)12 [(Total distance-1), As 1

st

kilometer is charged at Rs.20]

y=20+(x−1)12

y=12x+8

when x=16, y=200

solution

Step-by-step explanation:

i hope it's help...

Answer:

Answer is 30,090

Step-by-step explanation:

5 » ones

\({ \boxed{8 \: » \: tens}}\)

0 » hundreds

0 » thousands

3 » ten thousands

The value of ∠GFH=59°, in the given question.

What do you mean by angle?

Two straight lines or rays intersect at a same terminus to make an angle. The vertex of an angle is the point at which all points meet.

According to the data in the given question,

We have :

∠EFH=127°

∠EFG=(8x-4)°

∠GFH=(5x+14)°

Now, we have to solve the value of ∠GFH,

∠EFG+∠GFH=∠EFH

Putting the values given and solve for x,

(8x-4)°+(5x+14)°=127°

8x°-4°+5x°+14°=127°

13x°+10°=127°

13x°=127°-10°

13x°=117°

x=9

Then, putting the value of x in ∠GFH,

∠GFH=(5x+14)°

=(5(9)+14)°

=(45+14)°

=59°

Therefore, the value of ∠GFH=59°.

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In part (b) of the previous question, we found that the power series representation of the function $f(x)=\frac{x^2}{1+x^2}$ is:

 \(\lim_{n \to \infty} (-1)^{n} x^{2n}\)

To find the interval of convergence of this power series, we can use the ratio test. Let $a_n=(-1)^n x^{2n}$ be the general term of the series. Then, the ratio of consecutive terms is:

\(\left[\begin{array}{ccc}an+1/an\end{array}\right] = \left[\begin{array}{ccc}(-1)^{n+1} x^{2(n+1)} )/ (-1)^{n}x^{2n} \end{array}\right] = \left[\begin{array}{ccc}x^{2}\end{array}\right]\)

The series converges if the limit of the ratio as $n$ approaches infinity is less than 1, and diverges if the limit is greater than 1. Therefore, we have:

\(\lim_{n \to \infty} \left[\begin{array}{ccc}(a_{n}+1)/a_{n} \end{array}\right] = \left[\begin{array}{ccc}x^{2} \end{array}\right]\)

The series converges if $|x|^2<1$, and diverges if $|x|^2>1$. If $|x|^2=1$, the test is inconclusive and we need to use other convergence tests.

Therefore, the interval of convergence of the series is $-1<x<1$. To check the convergence at the endpoints $x=-1$ and $x=1$, we can use the alternating series test. At $x=-1$, the series becomes:

\(\lim_{n \to \infty} (-1)^{n}(-1)^{2n} = \lim_{n \to \infty} 1\)

which diverges. At $x=1$, the series becomes:

\(\lim_{n \to \infty} (-1)^{n}1^{2n} = \lim_{n \to \infty} (-1)^{n}\)

which also diverges. Therefore, the interval of convergence of the series is $-1<x<1$, and the series diverges at the endpoints.

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Answer: 6

Step-by-step explanation:

\(y=4(1)+2=6\)

Using multiplication we know that after 141 min there will be 400,000 bacteria present.

One of the four fundamental arithmetic operations, along with addition, subtraction, and division, is multiplication.

A product is the output of a multiplication operation.

When you take a single number and multiply it by several, you are multiplying.

A 5 multiplied by 4 results in 20 (5 + 5 + 5 + 5).

We multiplied the number five by four times.

Multiplication is commonly referred to as "times" because of this.

So, in the given situation:

At the initial stage, the number of bacteria is: 50,000

Then, after 47 min: 50,000 * 2 = 100,000

Then, after 47 min which is after 94 min: 100,000 * 2 = 200,000

Then, after 47 min which is after 141 min: 200,000 * 2 = 400,000

Therefore, using multiplication we know that after 141 min there will be 400,000 bacteria present.

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We know that the time is inversely proportional to the work.

Let t₁ is the time taken by Jeff and t₂ is the time taken by Jeff's dad.

We know that the formula:

Given:

Therefore,

Hence, it took Jeff's dad 12hours to wash the car himself.

Given that f(2) = 4, f(3) = 1, f′(2) = 1, and f′(3) = 2. We are supposed to find the integral from x = 2 to x = 3 of (x²)(f''(x)) dx.The integral of (x²)(f''(x)) from 2 to 3 can be evaluated using integration by parts.

the correct option is (d).

Let’s first use the product rule to simplify the integrand by differentiating x² and integrating

f''(x):∫(x²)(f''(x)) dx = x²(f'(x)) - ∫2x(f'(x)) dx = x²(f'(x)) - 2∫x(f'(x)) dx Applying integration by parts again gives us:

∫(x²)(f''(x)) dx = x²(f'(x)) - 2x(f(x)) + 2∫f(x) dx

The integral of f(x) from 2 to 3 can be obtained by using the fundamental theorem of calculus, which states that the integral of a function f(x) from a to b is given by F(b) - F(a), where F(x) is the antiderivative of f(x).

Thus, we have:f(3) - f(2) = 1 - 4 = -3 Using the given values of f′(2) = 1 and f′(3) = 2, we can write:

f(3) - f(2) = ∫2 to 3 f'(x) dx= ∫2 to 3 [(f'(x) - f'(2)) + f'(2)]

dx= ∫2 to 3 (f'(x) - 1) dx + ∫2 to 3 dx= ∫2 to 3 (f'(x) - 1) dx + [x]2 to 3= ∫2 to 3 (f'(x) - 1) dx + 1Thus, we get:∫2 to 3 (x²)(f''(x))

dx = x²(f'(x)) - 2x(f(x)) + 2∫f(x) dx|23 - x²(f'(x)) + 2x(f(x)) - 2∫f(x)

dx|32= [x²(f'(x)) - 2x(f(x)) + 2∫f(x) dx]23 - [x²(f'(x)) - 2x(f(x)) + 2∫f(x) dx]2= (9f'(3) - 6f(3) + 6) - (4f'(2) - 4f(2) + 8)= 9(2) - 6(1) + 6 - 4(1) + 4(4) - 8= 14 Thus, the value of the given integral is 14. Hence,

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A binomial is a factor of a polynomial has been determined by using the

polynomial division method.

To determine if a binomial is a factor of a polynomial, you can use the polynomial division method. The basic idea is to divide the polynomial by the binomial and check if the remainder is zero. If the remainder is zero, then the binomial is a factor of the polynomial. Here's the step-by-step process:

Write the polynomial and the binomial in standard form, with the terms arranged in descending order of their exponents.

Perform the long division of the polynomial by the binomial, similar to how you would divide numbers. Start by dividing the highest degree term of the polynomial by the highest degree term of the binomial.

Multiply the binomial by the quotient obtained from the division and subtract the result from the polynomial.

Repeat the division process with the new polynomial obtained from the subtraction step.

Continue dividing until you reach a point where the degree of the polynomial is lower than the degree of the binomial.

If the remainder is zero, then the binomial is a factor of the polynomial. If the remainder is non-zero, then the binomial is not a factor.

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Answer:

6.5%

Step-by-step explanation:

All i did was subtract 65 from the 75 which gave me 10 and I divided that by the original cost which was 65. That gave me 6.5%. Another possible answer is 0.1538461538461538. I just tried my best.

In an assignment problem, each resource can perform only one task. The assignment problem is a linear programming problem that seeks to minimize the cost of assigning tasks to available resources.

An assignment problem is a combinatorial optimization problem in which a group of jobs must be assigned to a group of workers while minimizing the total cost of completing the jobs. This type of problem is solved using linear programming. In addition, there is a one-to-one matching between the set of jobs and the set of workers. The goal of an assignment problem is to find the optimal or best possible pairing of jobs to workers.To obtain the best possible solution, an optimal assignment algorithm can be utilized. There are four basic methods to solve the assignment problem: the Hungarian method, the matrix reduction method, the branch-and-bound method, and the Auction algorithm.

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the series is divergent.

To determine whether the series ∑(5n ln(n)), n = 2, is convergent or divergent, we can use the Integral Test.

The Integral Test states that if f(x) is a positive, continuous, and decreasing function on the interval [a, ∞), and if the series ∑f(n) is represented by the integral ∫[a, ∞] f(x) dx, then the series and integral either both converge or both diverge.

In this case, let's consider the function f(x) = 5x ln(x).

1. Positivity: The function f(x) = 5x ln(x) is positive for x > 0 since ln(x) is positive for x > 1.

2. Continuity: The function f(x) = 5x ln(x) is continuous on the interval [2, ∞) since ln(x) is continuous on (1, ∞).

3. Decreasing: To check if f(x) = 5x ln(x) is decreasing on the interval [2, ∞), we can take the derivative:

f'(x) = 5 ln(x) + 5

To determine the sign of f'(x), we can set it equal to zero and solve for x:

5 ln(x) + 5 = 0

ln(x) = -1

x = e^(-1) ≈ 0.3679

Since f'(x) = 5 ln(x) + 5 is positive for x < e^(-1) and negative for x > e^(-1), we can conclude that f(x) = 5x ln(x) is decreasing on the interval [2, ∞).

Now, let's apply the Integral Test:

∫[2, ∞] 5x ln(x) dx = [5/2 x^2 ln(x) - (5/4) x^2] evaluated from 2 to ∞

By taking the limit as the upper bound approaches infinity:

lim(x→∞) [(5/2 x^2 ln(x) - (5/4) x^2)] - [(5/2)(2^2 ln(2) - (5/4)(2^2)]

lim(x→∞) [(5/2 x^2 ln(x) - (5/4) x^2)] - 10 ln(2)

If the above limit is finite, then the series converges. If the limit is infinite or does not exist, then the series diverges.

By evaluating the limit, we find:

lim(x→∞) [(\(5/2 x^2 ln(x) - (5/4) x^2)\)] - 10 ln(2) = ∞

Since the limit is infinite, we can conclude that the series ∑(5n ln(n)) diverges.

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Answer: 27.64601535159

Step-by-step explanation:

circumferenceC=πd

C=π×8.8

C=8.8π

C=27.64601535159

Answer:

$7.20

Step-by-step explanation:

8% as a decimal would be 0.08.

To find the sales tax, you would multiply 0.08(90)

0.08(90)=7.2

In dollars, that would be $7.20

Answer

A little over 16.

Step-by-step explanation:

If you convert 5 liters to milli-liters, you get 5,000. You then divide 5,000 by 300 and get 16.67.

Hope this helps!

Answer:

The original price is $18

Step-by-step explanation:

25% of 24 is 6 dollars because there are four 25 percents in 100%, and 1/4 of 24 is 6 dollars, so therefore the answer is $18.