¿Numeros entre 0,1 y 0,5?

Answer:

5%

Step-by-step explanation:

so basically we know in 3 years she spent 390 dollars

so 390 divided by 3 is 130

so all we need to do is find this:

130 is what percent of 2600

so the final answer is 5%

Therefore, the compound interest of the annuity due of BD 400 paid each 4 months for 6.2 years at a nominal rate of 3% per annum is BD 40,652.17.

Compound interest of an annuity due can be calculated using the formula:A = R * [(1 + i)ⁿ - 1] / i * (1 + i)

whereA = future value of the annuity dueR = regular paymenti = interest raten = number of payments First, we need to calculate the effective rate of interest per period since the nominal rate is given per annum. The effective rate of interest per period is calculated as

:(1 + i/n)^n - 1 = 3/1003/100 = (1 + i/4)^4 - 1

(1 + i/4)^4 = 1.0075i/4 = (1.0075)^(1/4) - 1i = 0.0303So,

the effective rate of interest per 4 months is 3.03%.Next, we can substitute the given values in the formula:

A = BD 400 * [(1 + 0.0303)^(6.2 * 3) - 1] / 0.0303 * (1 + 0.0303)A = BD 400 * [4.227 - 1] / 0.0303 * 1.0303A = BD 400 * 101.63A = BD 40,652.17

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The inverse Laplace transform of G(s) is:

g(t) = (2/3) \(e^{-t}\) - (1/3) \(e^{-2t}\) - (1/3) \(e^{-3t}\)

The inverse Laplace transform of the function G(s) using the partial fraction expansion coefficients obtained from MATLAB, we need to express G(s) in terms of partial fractions.

G(s) = (2s³ + 5s² + 3s + 6) / (s³ + 6s² + 11s + 6)

The denominator of G(s) can be factored as:

s³ + 6s² + 11s + 6 = (s + 1)(s + 2)(s + 3)

Let's write G(s) in terms of partial fractions as follows:

G(s) = A / (s + 1) + B / (s + 2) + C / (s + 3)

To find the values of A, B, and C, we can multiply both sides of the equation by the denominator and equate the coefficients of like powers of s.

(2s³ + 5s² + 3s + 6) = A(s + 2)(s + 3) + B(s + 1)(s + 3) + C(s + 1)(s + 2)

Expanding the right side and collecting like terms, we have:

2s³ + 5s² + 3s + 6 = (A + B + C)s² + (5A + 4B + 3C)s + (6A + 3B + 2C)

Comparing the coefficients of like powers of s, we get the following equations:

A + B + C = 0

5A + 4B + 3C = 5

6A + 3B + 2C = 3

Solving these equations, we find:

A = 2/3

B = -1/3

C = -1/3

Therefore, the partial fraction expansion of G(s) becomes:

G(s) = (2/3) / (s + 1) - (1/3) / (s + 2) - (1/3) / (s + 3)

Now, we can use the linearity property and known Laplace transforms to find the inverse Laplace transform of each term.

Taking the inverse Laplace transform, we have:

g(t) = (2/3) \(e^{-t}\) - (1/3) \(e^{-2t}\) - (1/3) \(e^{-3t}\)

Therefore, the inverse Laplace transform of G(s) is:

g(t) = (2/3) \(e^{-t}\) - (1/3) \(e^{-2t}\) - (1/3) \(e^{-3t}\)

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To determine the number of seconds that the hare would finish the race, we solve g(t) = 0, to calculate the value of t.

Linear equation

Linear equation is in the form:

y = mx + b

where y, x are variables, m is the slope of the equation (rate of change) and b is the y intercept (initial value of b).

Given that g (t) represents the hare's distance from the finish line (in meters) t seconds after the start of the race.

Hence the answer is, To determine the number of seconds that the hare would finish the race, we solve g(t) = 0, to calculate the value of t.

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Answer:

There are $\boxed{3}$ paths from $A$ to $B.$

(a) The region R is a triangular region in the first quadrant bounded by the curve y = arctan(x), the line x = 0, and the line x = 1. The region is shown below.

```

          |\

          | \

          |  \

---------+---\

          |    \

          |     \

```

To determine the area of region R, we need to find the area under the curve y = arctan(x) from x = 0 to x = 1. We can calculate this area by integrating the function arctan(x) with respect to x over the interval [0, 1]. However, it's important to note that the integral of arctan(x) does not have a simple closed-form expression. Therefore, we need to use numerical methods, such as approximation techniques or software tools, to calculate the area.

(b) To find the volume of the solid obtained by rotating region R about the y-axis, we can use the method of cylindrical shells. The volume can be calculated by integrating the circumference of the shells multiplied by their height. The height of each shell will be the corresponding value of x on the curve y = arctan(x), and the circumference will be 2π times the distance from the y-axis to the curve.

The integral for the volume is given by V = ∫[0, 1] 2πx · arctan(x) dx. Similarly to the area calculation, this integral does not have a simple closed-form solution. Therefore, numerical methods or appropriate software tools need to be employed to evaluate the integral and find the volume.

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Jason earned\($528\) last week.To get his total earnings, we must add the\($200\) per week salary to the commission earned. Salary + Commission = Total Earnings200 + 328 = 528

To calculate Jason’s sales for last week, we can use the equation C = 0.08S, where C is the commission earned and S is the amount of sales. Since Jason earned \($328\), we can substitute 328 for C and solve for S.328 = 0.08S 328/0.08 = S,S = 4100.Jason earns \($200\)per week plus 8% commission on his sales.Jason’s sales last week were $4100. To get his total earnings, we must add the\($200\) per week salary to the commission earned. Salary + Commission = Total Earnings200 + 328 = 528.Therefore, Jason earned $528 last week.

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Answer:

its 4/24 :)))))))))))))))))

Answer:

1905.9 cubic feet

Step-by-step explanation:

Use the formula for a volume of a cone - 1/3 * pi * radius^2 * height

Find volume of a cone - 1/3 * pi * 14.3^2 * 8.9 = 1905.8587024733 cubic feet

Round to nearest tenth - 1905.9 cubic feet

:)

Answer:

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

The angle formed by a tangent and secant is half the difference of the intercepted arcs:

Find the measure of ∠MLJ by substituting 4 for x in the angle measure:

Andre travelled distance in one hour is 38 miles.

Define the relationship between Speed, Distance and Time

Given,

Distance travelled  of Andre is = 228 miles

Time taken to cover 228 miles = 6 hours

Then speed will be = Distance / time

speed = 228 / 6

          = 38 miles/hour

It means in 1 hour Andre covers a distance = 38 miles with a speed of 38 miles/hour

Hence, Andre travelled distance in one hour is 38 miles.

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Answer:

a) Point Q

b) Sides SQ,RQ

c)Angle RQT and Angle Q

Step-by-step explanation:

Answer:

seven of b minus 2

Step-by-step explanation:

(a) To find P(Alice wins), integrate the joint PDF over appropriate ranges. (b) P(Alice wins) can be calculated using independence and properties of exponential distributions without integration.

Define integration ?

Integration is a fundamental mathematical operation that involves finding the area under a curve or the accumulation of quantities.

(a) To find the probability that Alice wins the game, we need to determine the probability that Alice reaches the origin before Bob. Let's denote this probability as P(Alice wins).

Given that VA = 1, VB = 2, XA ~ Exp(1), and YB ~ Exp(2) are independent random variables, we can approach this problem using the concept of arrival times.

The time taken by Alice to reach the origin is given by tA = XA/VA, and the time taken by Bob is tB = YB/VB.

Since XA ~ Exp(1) and YB ~ Exp(2), the probability density functions (PDFs) are given by:

fXA(x) = e^(-x) for x >= 0

fYB(y) = 2e^(-2y) for y >= 0

To calculate P(Alice wins), we need to find the probability that tA < tB. So, we can express it as:

P(Alice wins) = P(tA < tB)

Using the PDFs and the properties of exponential random variables, we can calculate this probability by integrating over appropriate ranges:

P(Alice wins) = ∫∫[x>0,y>2x] fXA(x) * fYB(y) dx dy

By performing the integration, we can determine the value of P(Alice wins).

(b) The bonus question suggests a simpler approach by utilizing independence and intuition.

If VA, XA are independent of VB, YB, and all four random variables are independent, we can express the event "Alice wins" as the conjunction of two independent events:

Event 1: XA < YB

Event 2: tA < tB (i.e., XA/VA < YB/VB)

Since XA and YB are exponentially distributed with different parameters, their comparison is independent of the comparison of their arrival times. Thus, P(Alice wins) can be written as:

P(Alice wins) = P(XA < YB) * P(tA < tB)

The probability P(XA < YB) can be calculated directly using the properties of exponential distributions.

Similarly, P(tA < tB) can be determined by considering the ratio of the rate parameters (1/1 and 2/1) and their relationship with the exponential distributions.

By evaluating these probabilities separately and multiplying them, we can obtain the value of P(Alice wins) without resorting to integration.

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To calculate the cost of 1 ap pound, we can use the unit price formula, which is:

Unit Price = Total Cost ÷ Total Quantity

the $64 strip loin weighs 13 lbs as purchased.

We can find the cost per pound using the unit price formula as follows:

Total Quantity = 13 lbsTotal Cost = $64Unit Price = Total Cost ÷ Total QuantityUnit Price

= $64 ÷ 13 lbsUnit Price = $4.92 per pound

Therefore, the cost of 1 ap pound of the $64 strip loin is $4.92.

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The transformations that result in similar triangles are dilations, rotations, reflections, and translations.

A transformation that conserves the shape, but not necessarily the size, of a figure is called a similarity transformation. Rotation, reflection, and translation are rigid motions, which means they preserve both size and shape, on the other hand, dilation only ensures that the shape is preserved. As the rigid motions are congruence transformations, all congruent figures are also similar.

A similarity transformation is a dilation or a combination of rigid motions and dilations. Two geometric figures are similar if and only if there is a similarity transformation that maps one of the figures onto the other. Similar figures have the same shape but necessarily not the same size.

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Answer:

your answer is right ok my friend

By definition of coterminal angles, the negative angle that is equivalent to an angle of 285° is equal to - 75° degrees. (Correct choice: D)

In this problem we must determine a negative angle coterminal to a given angle, two angles are coterminal when both have the same direction. Given that a complete revolution is done each 360°, we can derive an expression for angles coterminal to a given one:

θ' = θ + i · 360°     (1)

Where i is the index of the coterminal angle.

If we know that θ = 285° and i = - 1, then the negative angle is:

θ' = 285° + (- 1) · 360°

θ' = - 75°

By definition of coterminal angles, the negative angle that is equivalent to an angle of 285° is equal to - 75° degrees. (Correct choice: D)

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Answer:

\( s = 14.1 \)

Step-by-step explanation:

Given:

<S = 31°

SQ = r = 9

SR = q = 21

s = ?

To find s, use the Law of Cosines:

s² = r² + q² - 2rs*cos(S)

\( s^2 = 9^2 + 21^2 - 2*9*21*cos(31) \)

\( s^2 = 81 + 441 - 378*0.8572 \)

\( s^2 = 522 - 324.02 \)

\( s^2 = 197.98 \)

\( s = 14.1 \) (nearest tenth)

The value of z is 1

If possible, we have to  simplify the exponential expressions on both sides of the equation.

We have the equation;

Simplify the exponential expression on the right-hand side

5^z^2-1 = 1

Using the laws of indices;

5^z^2-1 = 5^0

z^2-1 = 0

z^2 = 1

z = √1

z = 1

Then we should Check our solution by plugging it back into the original equation and verifying that both sides are equal.

5^1^2 -1 = 5^0 =1

Thus we can see that the solution to the equation is correct

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By applying the concept of central and extreme scores, it can be concluded that a score of x = 85 would be considered a central score in population 1, and an extreme score in populations 2 dan 3.

A central score is a score that is near the middle of the distribution, while an extreme score is a score that is far out in the tail of the distribution.

In order to determine whether a score of x = 85 is a central score or an extreme score for each of the following populations, we need to look at the distribution of scores in each population.

Overall, whether a score of x = 85 is considered a central score or an extreme score depends on the distribution of scores in the population. If the scores are evenly distributed and x = 85 is near the middle of the distribution, it would be considered a central score. However, if the scores are clustered around a different value and x = 85 is far out in the tail of the distribution, it would be considered an extreme score.

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Answer:

I think √8

Step-by-step explanation:

an integer to the power of 2

The number of solutions that are viable is; D: There are 2 solutions and only 1 is viable.

For the Rose Only Aisle;

Let the bouquets of roses be X.

Let the number of roses per bouquet be r.

Thus;

Number of bouquets of roses = Xr - 4

Number of rose Aisles = 6

Number of bouquets of dahlias = 2

Patio seating area;

Number of bouquets of roses = 4

Number of bouquet of dahlias (d) = 8

For the rose only aisle, the equation is;

6(Xr - 4r) + 2d = 100

For the patio seating area, equation for number of flowers is;

4r + 8d = 132

We can see the two simultaneous equations and we can solve for r and d but only one of them will be viable.

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The bank must have at least 17 nickels on hand.

Given data;

A bank has three more dimes than nickels and twice as many nickels as quarters. if the value of the coins exceeds $5.

Let x be the number of nickels;

⇒ 25(x/2) + 10(x+3) + 5x = 500 cents

⇒ 25x + 20(x+3) +10x = 1000

⇒ 25x + 20x + 60 + 10x = 1000

⇒ 55x = 940

⇒  x = 17

Hence, the minimum of nickels in the bank is 17.

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The greatest number of baskets that can be made with 24 movies, 48 packages of popcorn, and 18 boxes of candy is 6.

This is determined by finding the greatest common factor (GCF) of each item. The GCF of 24, 48, and 18 is 6. This means that 6 is the greatest number of baskets that can be made if each basket has an equal number of each of the three items.

To calculate the GCF, the prime factors of each number must be determined. The prime factors of 24 are 2 and 3 (2 x 2 x 2 x 3). The prime factors of 48 are 2 and 3 (2 x 2 x 2 x 2 x 3). The prime factors of 18 are 2 and 3 (2 x 3 x 3).

To determine the GCF, the highest power of each prime factor must be determined. In this case, the highest power of each prime factor is 3 (2 x 2 x 2 x 3). Therefore, the GCF of 24, 48, and 18 is 6. This means that the greatest number of baskets that can be made with the given items is 6.

In conclusion, the greatest number of baskets that can be made with 24 movies, 48 packages of popcorn, and 18 boxes of candy is 6. This is determined by finding the greatest common factor (GCF) of each item. The GCF of 24, 48, and 18 is 6, which means that 6 is the greatest number of baskets that can be made if each basket has an equal number of each of the three items.

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quotient = the answer to a division problem

To divide by a fraction, multiply by the reciprocal of the fraction

reciprocal of a fraction = the numerator and denominator are reversed

First, convert "three and two thirds" into an improper fraction:

\(3\dfrac{2}{3}\)

⇒ Multiply the whole number by the denominator and add the numerator:

\(\dfrac{11}{3}\)

Now, we want to divide this number by three fifths:

\(\dfrac{11}{3}\div\dfrac{3}{5}\)

⇒ Dividing by a fraction is the same as multiplying by its reciprocal:

\(= \dfrac{11}{3}\times\dfrac{5}{3}\\\\=\dfrac{55}{9}\)

\(\dfrac{55}{9}\)

theannswer wold be 100 .33 .87

The probability that the dispensers dispense less than 9.95gl is 0.0013.

Given that,The sample size (n) = 80 Mean (μ) = 9.8 Standard deviation (σ) = 0.1

We need to find the probability that the dispensers dispense less than 9.95gl, i.e., P(X < 9.95).

Let X be the amount of gasoline dispensed when a 10gl tank was filled.

A 10gl tank can be filled with X gl with a mean of μ = 9.8 and standard deviation of σ = 0.1.gl.

So, X ~ N(9.8, 0.1).

Using the standard normal distribution, we can write;

Z = (X - μ)/σZ = (9.95 - 9.8)/0.1Z

= 1.5P(X < 9.95) = P(Z < 1.5).

From the standard normal distribution table, the probability that Z is less than 1.5 is 0.9332.

Hence,P(X < 9.95) = P(Z < 1.5) = 0.9332.

Therefore, the probability that the dispensers dispense less than 9.95gl is 0.0013.

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Answer:

60

Step-by-step explanation:

7^2=7^2 +7^2 -2(7)(7).cos y

\(1/2 =cos y\\60 =y\\\)

Answer:

\(D.\ 4\frac{1}{2}\)

Step-by-step explanation:

Remember : 1 1/2 = (2+1)/2 = 3/2

Formula :

\(\large \text Volume\ V \ of \ a \ rectangular \ prism \ =base\ \times\ height\)

Then

\(V=\left( 2\times 1\frac{1}{2} \right) \times 1\frac{1}{2}\)

   \(=\left( 2\times \frac{3}{2} \right) \times \frac{3}{2}\)

   \(=3 \times \frac{3}{2}\)

   \(=\frac{9}{2}\)

   \(=\frac{8+1}{2} = \frac{8}{2} +\frac{1}{2} =4+\frac{1}{2} =4\frac{1}{2}\)