Revolution lost are no ​

Answer:

100 is the answer

Step-by-step explanation:

Answer:

K = 3

Step-by-step explanation:

-11.K = -33

K = -33/-11

K = 3

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Hope it helps

Answer:

-11.k=-33

or,k= -33/-11

so,k=3 is the answer

Answer:

9,240

Step-by-step explanation:

For the first number, there are 22 numbers available to choose from. For the second number, there are 21 numbers available, since the first number cannot be the same as the second number. And for the last number, there are 20 remaining numbers to choose from. So, there are 22*21*20=9240 possible sequences.

The required order of solution for the given system equation,
1 No solution
2 Many solutions
3 One solution
4 No solution

Given a system of equations,
(1)

y = 5x + 7
3y -15x = 18

Since the slope of the equations are equal so this equation has no solution

(2)

x - 2y = 6
3x - 6y = 18
Since the slope of the equations is equal and also has an equal intercept so this equation has many solutions.

(3)

y=3x+6
y = -1/3x - 4
The slope of the equation of this line is the negative reciprocal of the other implying these lines are perpendicular to each other and have one solution.

(4)
y = 2/3x -1
y = 2/3x -2
Since the slope of the equations is equal so this equation has no solution.

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ANSWER

EXPLANATION

To find the amount of money that you will have in 9 years, apply the formula for annually compounded amount:

where P = principal

r = interest rate

t = number of years

Hence, the amount after 9 years is:

That is the answer.

Answer:

11+15√5

Step-by-step explanation:

mat.hway

13 and 13√2 is the value of x and y in the given diagram

The given diagram is a right triangle, we need to determine the value of x and y.

Using the trigonometry identity

tan45 = opposite/adjacent
tan45 = x/13

x = 13tan45
x = 13(1)
x = 13

For the value of y

sin45 = x/y

sin45 = 13/y
y = 13/sin45

y = 13√2
Hence the exact value of x and y from the figure is 13 and 13√2 respectively.

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The expression that is equivalent to (4 - 2x)(4 + 2x) is equal to 16 - 4x^2 approximately.

To simplify the expression (4 - 2x)(4 + 2x), we can use the FOIL method, which stands for First, Outer, Inner, Last. This method involves multiplying each term in the first factor by each term in the second factor and then combining like terms.

Using the FOIL method, we get:

(4 - 2x)(4 + 2x) = 4 × 4 + 4 × 2x - 2x × 4 - 2x × 2x

Simplifying the expression, we get:

16 + 8x - 8x - 4x^2

The two middle terms cancel each other out, leaving us with:

16 - 4x^2

We can also check our answer by factoring the simplified expression back to the original expression. If we factor 16 - 4x^2, we get:

16 - 4x^2 = 4(4 - x^2)

We can then use the difference of squares formula, which states that a^2 - b^2 = (a + b)(a - b), to factor further:

4(4 - x^2) = 4(2 + x)(2 - x)

This gives us back the original expression, (4 - 2x)(4 + 2x), confirming that 16 - 4x^2 is equivalent to (4 - 2x)(4 + 2x).

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As the condition "1. Decreasing absolute values and 2. Limit of the terms" of the Alternating Series Test are met, so the series converges.

The given series is an alternating series, which can be written as:
Σ((-1)^n / (3n+1)), with n ranging from 1 to infinity.

To test for convergence using the Alternating Series Test, we need to verify two conditions:

1. The absolute value of the terms must be decreasing: |a_(n+1)| ≤ |a_n|
2. The limit of the terms must approach zero: lim(n→∞) a_n = 0

Let's examine these conditions:

1. Decreasing absolute values:
a_n = (-1)^n / (3n+1)
a_(n+1) = (-1)^(n+1) / (3(n+1)+1) = (-1)^(n+1) / (3n+4)
Since n is always positive, it's clear that the denominators (3n+1) and (3n+4) increase as n increases. Therefore, the absolute values of the terms decrease.

2. Limit of the terms:
lim(n→∞) |(-1)^n / (3n+1)| = lim(n→∞) (1 / (3n+1))
As n goes to infinity, the denominator (3n+1) grows without bounds, making the fraction approach zero. Thus, lim(n→∞) (1 / (3n+1)) = 0.

Both conditions of the Alternating Series Test are met, so the series converges.

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Length of DF is 24cm.

If one figure may be produced from the other by a single transformation, or by a series of transformations, such as translations, reflections, rotations, and/or dilations, then and only then are two figures said to be similar. When there is a similarity transformation, the transformed image has the same shape as the original. There will always be similar varieties of triangles, quadrilaterals, and polygons. For instance, squares and equilateral triangles are both similar shapes. We know the lengths of comparable sides are proportional if two polygons resemble one another.

Given,

Two triangles are similar,

DF = AC (3)

DF = 8(3)

DF = 24

Length of DF is 24cm.

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Answer: 2

Step-by-step explanation: I saw the answer somewhere else. Just wanted to tell you. I got it right on the test I think I was doing.

Answer:

2

Step-by-step explanation:

Answer: B

in three ways we have;

Explanation:

We want to write the ratio of the situation in three ways, comparing the first quantity to the second quantity.

Given that;

A zoo has 17 monkeys and 12 chimpanzees

so, we want to compare the number of Monkeys to the number of Chimpanzees.

There are 17 Monkeys to 12 Chimpanzees.

Writing in other ways, we have;

and lastly in fraction;

Therefore, in three ways we have;

A chi-square test of independence is indeed a one-tailed test. The reason for this is that we are testing whether the observed frequencies of two categorical variables are significantly different from the expected frequencies.

We square the deviations between the observed and expected frequencies, and since deviations can only be positive, the test statistic always lies at or above zero. Hypothesis tests are one-tailed when dealing with sample data because we have a specific direction for our research question. In the case of a chi-square test of independence, we are interested in whether one variable is dependent on the other variable, so we have a directional hypothesis. Furthermore, the chi-square distribution is positively skewed, meaning that the majority of the distribution is on the right-hand side. This is important to consider when interpreting the results of a chi-square test.

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Answer: kindly check explanation

Step-by-step explanation:

Given the following :

Amount saved by Jacob = $50

Amount spent at the movies = $15

Amount left after paying for bike repair = $0

Cost of bike repair :

$50 - $15 = $35

What integer represents Jacob’s savings?

Initial amount before any spending

Jacob's saving = +$50

2.What integer represents the change in Jacob’s savings after he spends money at the movies?

Saved amount - amount spent at the movies

$50 - $15 = $35

No number line is given

Answer:

B linear

Step-by-step explanation:

If the rate of change stayed the same then it has to be a straight line so no C or D, and it cant be A be cause there is a rate of change.

Answer:

The answer is 9/x-1

Step-by-step explanation:

Because both terms have the same denominator, then we can subtract the numerators upon the same denominator:

⇒ x+1/x-1 - x-8/x-1 = ((x + 1) - (x - 8))/(x - 1)

                             = (x + 1 - x + 8)/(x - 1)     [expand the brackets and simplify]

                             = 9/(x - 1)

The radius of convergence, r is 1 and interval of convergence, i, of the series. [infinity] (x − 14)n n2 1 n = 0 is [13, 15), including 13 but excluding 15.

To find the radius of convergence, we can use the ratio test:

lim |(x - 14)(n+1)^2 / n^2| = lim |(x - 14)(n+1)^2| / n^2

= lim (x - 14)(n+1)^2 / n^2

Since the limit of the ratio as n approaches infinity exists, we can apply L'Hopital's rule:

lim (x - 14)(n+1)^2 / n^2 = lim (x - 14)2(n+1) / 2n

= lim (x - 14)(n+1) / n

= |x - 14|

So the series converges if |x - 14| < 1, and diverges if |x - 14| > 1. Therefore, the radius of convergence is 1.

To find the interval of convergence, we need to check the endpoints x = 13 and x = 15.

When x = 13, the series becomes:

∑ [13 - 14]^n n^2 = ∑ (-1)^n n^2

This is an alternating series that satisfies the conditions of the alternating series test, so it converges.

When x = 15, the series becomes:

∑ [15 - 14]^n n^2 = ∑ n^2

This series diverges by the p-test.

Therefore, the interval of convergence is [13, 15), including 13 but excluding 15.

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Answer:

it's totally depends on u whether you like to find the value of x or value of y

The triangle is obtuse, since the square of the longest side is greater than the sum of the squares of the other two sides.

The sum of the areas of the squares formed on the legs of the triangle equals the area of the square formed on the hypotenuse:

a²+b²=c²

a, b and c are side lengths

a=12,b=37 and c=40

12²+37²=40²

144+1369=1600

1513 is not equal to 1600

Since 1513 < 1600, we know that:

This means that the triangle is obtuse, since the square of the longest side is greater than the sum of the squares of the other two sides.

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Answer:

A. Daily

Step-by-step explanation:

`A = P(1 + r/n)^(nt), where

Step 1:  Substitute the given values into the formula:

Step 2:  Check whether the money is compounded daily, monthly, quarterly, or annually:

Checking if the money is compounded daily:

10994.58 = 5142(1 + 0.038/365)^(365 * 20)

10994.58 = 5142(1.00010411)^(7300)

10994.58 < 10994.61436

10994.58 < 10994.61

Proving the money is not compounded monthly:

Thus, we can prove the money is not compounded monthly by plugging in 12 for n and examining how much farther the answer is from 10994.58 than 10994.61 (aka our answer when we did 365 for n to check for daily compounded money):

10994.58 --- 5142(1 + 0.038/12)^(12 * 20)

10994.58 --- 5142(1.003166667)^240)

10994.58 ? 10981.82145

10994.58 > 10981.82

10981.82 is further away from 10994.58 than 10994.61 so the money definitely is not compounded monthly.

Proving the money is not compounded quarterly:

Thus, we can prove the money is not compounded quarterly by plugging in 4 for n and examining how much farther the answer is from 10994.58 than 10994.61 (aka our answer when we did 365 for n to check for daily compounded money):

10994.58 --- 5142(1 + 0.038/4)^(4 * 20)

10994.58 --- 5142(1.0095)^(80)

10994.58 > 10955.64458

10994.58 > 10955.64

10955.64 is further away from 10994.58 than 10994.61 so the money definitely is not compounded monthly.

Proving the money is not compounded annually:

Thus, we can prove the money is not compounded quarterly by plugging in 4 for n and examining how much farther the answer is from 10994.58 than 10994.61 (aka our answer when we did 365 for n to check for daily compounded money):

10994.58 --- 5142(1 + 0.038/1)^(1 * 20)

10994.58 --- 5142(1.038)^(20)

10994.58 > 10841.24459

10994.58 > 10841.24

10841.24 is further away from 10994.58 than 10994.61 so the money is definitely not compounded annually.

The amount of loss contributing to a reliability objective of 99.993% is 38.0003333 dB.

In telecommunications and networking systems, reliability is a crucial factor that measures the probability of a system or component functioning without failure over a specified period. It is often expressed as a percentage or in terms of the number of "nines" (e.g., 99.99% represents "four nines" reliability). Loss, on the other hand, refers to the degradation or attenuation of a signal or information as it travels through a system. In this case, we are calculating the amount of loss that contributes to achieving a reliability objective of 99.993%.

The unit used to quantify loss in telecommunications is decibels (dB). Decibels represent the logarithmic ratio of the input signal power to the output signal power, providing a convenient way to express signal attenuation or amplification. To determine the amount of loss contributing to a reliability objective, we can use statistical models and calculations based on the desired reliability level. In this scenario, the loss contributing to a reliability objective of 99.993% is calculated to be 38.0003333 dB.

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Answer:

80 parrots were purchased.

Step-by-step explanation:

Let the total number of parrots be k.

If 20% (or 20/100 = 1/5) flew away and 5% (5/100 = 1/20) died, the remaining parrots will be k – (¹/₅k + ¹/₂₀k) = k – ¼k = ¾k.

Of the remaining, 45% (or 45/100 = 9/20) were sold, which means the total number of sold parrots will be ¾k × ⁹/₂₀ = ²⁷/₈₀k.

The remaining parrots = ¾k – ²⁷/₈₀k = ³³/₈₀k = 33

k = 33 × ⁸⁰/₃₃ = 80 parrots were purchased.

The line of reflection that produces the point x²(2, 4) is the y-axis.

To determine the line of reflection that produces the point x^2(2,4), we need to find the perpendicular bisector of the segment connecting x^2 and its image. Since the reflection in the y-axis changes the sign of the x-coordinate, the image of x^2(2,4) under this reflection is (-2,4).

Therefore, the midpoint of the segment connecting (2,4) and (-2,4) is M(0,4). Since the reflection in the x-axis changes the sign of the $y$-coordinate, the image of x^2(2,4) under this reflection is (2,-4).

The line of reflection that produces x^2(2,4) is the perpendicular bisector of the segment connecting x^2(2,4) and its image, which is the line y = 4.

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Answer:

could you take a screen shot and link the graph pls?

Step-by-step explanation:

Answer:

I didn’t know if I was solving for x or for y but I believe that the answer is x=75-y

Step-by-step explanation:

Solve by simplifying both sides of the equation, then isolating the variable.

Answer: Danielle drive for 2 hours

Jamal drives for 2 × 3 = 6 hours

Step-by-step explanation:

Let the number of hours that Danielle used in driving to be represented by x.

Since Jamal drives 3 times the hours that Danielle does. This will be:

= 3 × x = 3x

Since Jamal and Danielle drive for a total of 8 hours. This can be formed into a equation as:

x + 3x = 8

4x = 8

x = 8/4

x = 2

Danielle drive for 2 hours

Jamal drives for 2 × 3 = 6 hours

Answer:

25x^2 -9

Step-by-step explanation:

(5x+3)(5x-3)

FOIL

first  5x*5x = 25x^2

outer 5x*-3 = -15x

inner 3*5x = 15x

last = 3*-3 = -9

Add them together  25x^2 -15x+15x -9

Combine terms  25x^2 -9

Answer:

\( \sf25 {x}^{2} - 9\)

Step-by-step explanation:

We can use Foil method to find the answer for this expression.

(5x + 3) (5x - 3)

That is:

F --> First ---> (5x)(5x)

O --> Outside ---> (5x) (-3)

I --> Inside ---> (3)(5x)

L --> Last ---> (3) (-3)

And now we have to add those terms together while combining like terms.

\( \sf(5x)(5x) + (5x)( - 3) + (3)(5x) + (3)( - 3) \\ \sf25 {x}^{2} - 15x + 15x - 9 \\ \sf25 {x}^{2} - 9\)

Answer:

the answer for this problem is 1.75+2.00+1.00+1.00

hope this helps :D