Convergence or Divergence? Prove using a test.

The value of y in the triangle is 2√10 units.

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .

The value of y can be found using the similar triangle ratios as follows:

Hence,

8 / y = y / 5

cross multiply

y² = 8 × 5

y²= 40

square root both sides of the equation

y = √40

Therefore,

y = 2√10 units

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Data:

Initial: $25

Muffin cost: 4.6% of 25$

To calculate the 4.6% of 25 you multiply 25 by 4.6 and then divide it by 100:

Muffin cost is $1.15

The remaining money is: $23.85

spent 6% of the remaining money on a bottle of water: Multiply the remaining money by 6 and then divide it by 100 to get the cost of the bottle of water:

Answer: They don`t have anything in different  they both have 4 and they both have 6

Step-by-step explanation: I don`t know  I just saw it and knew that there was nothing different.

The expressiοn (x+1)(x+2) has the greatest vaIue οf 30 when x=4.

An aIgebraic expressiοn is a mathematicaI phrase that cοntains variabIes, cοnstants, and mathematicaI οperatiοns. It may aIsο incIude expοnents and/οr rοοts. AIgebraic expressiοns are used tο represent quantities and reIatiοnships between quantities in mathematicaI situatiοns, οften in the cοntext οf prοbIem-sοIving.

Tο evaIuate the expressiοn (x+1)(x+2) when x=4, we simpIy substitute 4 intο the expressiοn, which gives us (4+1)(4+2).

SοIving this expressiοn, we first perfοrm the additiοns inside the parentheses tο get (5)(6).

Then, we muItipIy the twο numbers tο get 30.

when x=4, the expressiοn (x+1)(x+2) evaIuates tο 30, which is its greatest vaIue. This is because the quadratic expressiοn x² + 3x + 2 increases as x increases, and it reaches its maximum vaIue when x=4.

Therefοre, the expressiοn (x+1)(x+2) has the greatest vaIue οf 30 when x=4.

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Answer:

$40.95

Step-by-step explanation:

Simply multiply 12.6 by 3.25.

Hope that helps!

Answer:

90 degree EFC. and. BMC

across fc/ma

across ec/ab

Answer:13x+150<400

Step-by-step explanation:

13(19)+150<400

247+150<400

397<400

Answer:

I think is c but I'm not sure

Answer:

The slope of a line represents the rate of change, which in this case is the rate at which the skydiver is falling. The rate of falling is 4,800 feet in 4 seconds, which simplifies to 1,200 feet per second, therefore, the graph that has a slope of 1,200 best represents this rate.

The correct Option is A. Equation that can be used to find the number of dogs in the shelter is StartFraction 60 divided by 2 Over 100 divided by 2 EndFraction = StartFraction 30 Over 50 EndFraction.

In order to do that, we first need to determine the number of dogs in the shelter.

We can do that by multiplying the total number of animals by 60% (0.60):60% of 50 = (60/100) × 50 = 30

Therefore, there are 30 dogs in the shelter.

Now, we can look at the answer choices to see which equation can be used to find the number of dogs in the shelter.

A. (60/2 ÷ 100/2) = 30/50This equation simplifies to (30 ÷ 50) = 0.6, which is the decimal equivalent of 60%. T

his equation is correct.

B. (100 × 2 ÷ 50 × 2) = 200/100

This equation simplifies to 1, which is not the correct answer.

C. (50 ÷ 1 ÷ 60 ÷ 1) = 50/60

This equation simplifies to 5/6, which is not the correct answer.

D. (60 × 2 ÷ 50 × 2) = 120/100

This equation simplifies to 6/5, which is not the correct answer.

Therefore, the equation that can be used to find the number of dogs in the shelter is A. (60/2 ÷ 100/2) = 30/50.

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+1 is the coefficient of determination .

What does coefficient of determination mean?

A statistical model's ability to predict a result is indicated by the coefficient of determination (R2), a value between 0 and 1.

                          The proportion of variance in the dependent variable that the statistical model predicts can be understood as the R2 value.

From the given information

Coefficient of determination is +1

Because slope is negative that means correlation coefficient is also negative.

And all points lie on the straight line hence correlation is - 1

But coefficient of determination is r^2

= +1

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The requreid,
(a) Approximate values of the given numbers are π ≈ 3.1, √6 ≈ 2.4, 2√6 ≈ 4.8, and √7 ≈ 2.6.
(b) √6  < √7 <  π  < 2√6

(a)

π ≈ 3.1 (since π is between 3 and 4, and is closer to 3.1 than to 3.2)

√6 ≈ 2.4 (since 6 is between 4 and 9, and the square root of 6 is closer to 2.4 than to 2.5)

2√6 ≈ 4.8 (since 2√6 is approximately twice the value of √6, which is 2.4)

√7 ≈ 2.6 (since 7 is between 4 and 9, and the square root of 7 is closer to 2.6 than to 2.7)

(b)

Order from least to greatest:

√6  < √7 <  π  < 2√6

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By finding all the four slopes, we can see that the word is ECHA.

We know that the general linear equation can be written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

We know that if the line passes through (x₁, y₁) and (x₂, y₂) then the slope is:

s = (y₂ - y₁)/(x₂ - x₁)

With that formula we can get the slopes.

1) Using the points (0, 3) and (2, 4).

m = (4 - 3)/(2 - 0) = 1/2, so the letter is E.

2)Using (-1, -12) and (1, -8)

m = (-8 + 12)/(1 + 1) = 4/2 = 2, so the letter is C.

3) We have (2, -6) and (-4, -3) so:

m = (-3 + 6)/(-4 - 2) = 3/-6 = -1/2, so the letter is H

4)we can use the points (0, 3) and (1, 1), so:

m = (1 - 3)/(1 - 0) = -2, so the letter is A

Then the word is ECHA

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Area of sector would be,

⇒ Area of sector = 102.6 feet squared

We have to given that,

Radius of circle = 14 ft

Angle θ = 60°

Now, We know that,

Area of sector = [θ/360]πr²

Where, r is radius of circle.

Hence, We can substitute all the values, we get;

Area of sector = [θ/360]πr²

Area of sector = [60/360](22/7)(14)²

Area of sector = [1/6][22/7][196]

Area of sector = 102.6 feet squared

Thus, Area of sector would be,

⇒ Area of sector = 102.6 feet squared

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Answer:

first one is -1

second one is 0

third one is  6

last one is 2

Step-by-step explanation:

The number of cars in the parking lot at 5 pm is 106.1.

The formula for the number of cars in the parking lot n hours after 3 pm is:

\(A_{n} = 92(1.09)^n\)

where:

\(A_{n}\) is the number of cars in the parking lot n hours after 3 pm

92 is the initial number of cars in the parking lot

1.09 is the growth rate of the number of cars in the parking lot

n is the number of hours after 3 pm

For example, if it is 5 pm, then n = 2. Plugging this value into the formula, we get:

\(A_{5} = 92(1.09)^2\)

\(A_{5} = 106.1\)

Therefore, the number of cars in the parking lot at 5 pm is 106.1.

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The stars in order from the closest one to the farthest one are:

0.883, 0.886, 0.89, 1.25

so, the answer is A.

What is a sequence?

A sequence is an enumerated collection of objects in which repetitions are allowed. Like a set, it contains members (also called elements, or terms).

To put the given distances in order from the closest one to the farthest one, we need to arrange them in ascending order.

That means we need to start with the smallest value and move toward the largest value.

Looking at the given distances, we see that the smallest value is 0.883, followed by 0.886, then 0.89, and finally 1.25, which is the largest value.

Putting the given distances in ascending order, we get:

0.883, 0.886, 0.89, 1.25

Therefore, the stars in order from the closest one to the farthest one are:

0.883, 0.886, 0.89, 1.25

so, the answer is A.

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We need to round up to the next higher integer, the sample size required to estimate the mean with an error of +4 and 95 Percent confidence is 170.

To find the sample size to estimate the mean with an error of +4 and 95 percent confidence, we need to use the formula:

n = [(z*sigma)/E]^2

Where:
n = sample size
z = z-score for 95% confidence level (which is 1.96)
sigma = standard deviation (unknown in this case)
E = maximum allowable error (which is +4 in this case)

We are given that o=12, which is the population standard deviation. Since we do not have any information about the sample standard deviation, we can use the population standard deviation as an estimate. Therefore, we can substitute o=12 in the above formula to get:

n = [(1.96*12)/4]^2
n = 169.64

Since we need to round up to the next higher integer, the sample size required to estimate the mean with an error of +4 and 95 percent confidence is 170.

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Answer:

(-3,1)

Step-by-step explanation:

2/2 x (-5,1)

Then the circle is (-3,1)

Answer:

Step-by-step explanation:

45

Answer:

Step-by-step explanation:

5

Answer:

0.66 melones por niño o 2/3

Step-by-step explanation:

10/15=2/3=0.66

Answer:

Step-by-step explanation:

The question is incomplete. The missing part is:

(A) We can use the geometric distribution with n = 100, k = 10, and p = 0.24 to calculate this probability. (B) We can use the binomial distribution with n = 10, k = 100, and p = 0.24 to calculate this probability. (C) We cannot calculate this probability using the binomial distribution since whether or not one flight is delayed is not independent of another. (D) We can use the binomial distribution with n = 100, k = 10, and p = 0.24 to calculate this probability

Solution:

In binomial probability, the assumption is that there is only one outcome for each trial. This is because the probability of success or failure is constant. Each trial is also independent of the other trial. This means that the probability of event A happening does not depend on the outcome of event B.

In the given scenario, the probability of a flight being delayed depends on the probability of the previous flight being delayed. It means that the outcomes are not independent. In geometric probability, a trial is repeated until success is achieved. The outcomes are also independent. Therefore, the correct option is

(C) We cannot calculate this probability using the binomial distribution since whether or not one flight is delayed is not independent of another.

The statement that is correct would be:

C). We cannot calculate this probability using the binomial distribution since whether or not one flight is delayed is not independent of another.

In the case of binomial probability, it is assumed that the outcome occurring for every trial would remain 1 only because there is consistency in terms of success or defeat.

This implies that the outcome of one will not impact the other's result.

Since the third statement shows that there is no possibility of estimating the probability by employing the method of binomial distribution as one flight's taking off or delay will not impact the other and they remain independent.

Thus, option C is the correct answer.

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The options are missing in the question. They are provided as follows:

(A) We can use the geometric distribution with n = 100, k = 10, and p = 0.24 to calculate this probability.

(B) We can use the binomial distribution with n = 10, k = 100, and p = 0.24 to calculate this probability.

(C) We cannot calculate this probability using the binomial distribution since whether or not one flight is delayed is not independent of another. (D) We can use the binomial distribution with n = 100, k = 10, and p = 0.24 to calculate this probability

Answer:

1.5=slope

Step-by-step explanation:

To do this, we need to solve the slope.

We will use rise/run

0-3=-3

0-2=-2

-3/-2=1.5

Answer: 40 mph

Step-by-step explanation: let s = speed in traffic

(s+17) = out of traffic

:

Write a time equation; time = dist/speed

traffic time + normal speed time = 4 hrs

46%2Fs + 80%2F%28%28s%2B17%29%29 = 4

multiply by s(s+17) to cancel the denominators

46(s+17) + 80s = 4s(s+17)

46s + 782 + 80s = 4s^2 + 68s

126s + 782 = 4s^2 + 68s

Arrange as a quadratic equation on the right

2s^2 - 29s - 391 = 0

Use the quadratic formula a=2; b=-29; c=-391

I got a positive solution of

s = 23 mph in traffic

:

:

:

Check this by finding the actual times. Normal speed: 23 + 17 = 40 mph

46/23 = 2 hrs in traffic

80/40 = 2 hrs at normal speed

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

total time 4 hrs

0 = 4s^2 + 68s - 126s - 782

4s^2 - 58s - 782 = 0

simplify, divide by 2

so  the answer is 40mph

Answer: 2/1

Step-by-step explanation: The opposite reciprocal of -1/2 is 2/1, which can also be written as -2. To find this, first, determine the reciprocal by flipping the fraction -1/2 over to make it 2/1. Then to make it opposite, you would need to change the sign.

Answer:

15/16

Decimal form: 0.9375

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Answer:

y = 1

Step-by-step explanation:

-3y + 14 + y = 12

-3y + y + 14 = 12

-2y + 14 = 12

-2y + 14 - 14 = 12 - 14

-2y = -2

-2y/-2 = -2/-2

y = 1

Answer:

y=1

Step-by-step explanation:

Hey There!

So to solve this type of problem we use inverse operations

-3y+14+y=12

step 1 subtract 14 from each side

14-14

12-14=-2

now we have

-3y+y=-2

step 2 combine like terms

-3y+y=-2y

now we have -2y=-2

step 3 divide each side by -2

-2/-2=1

so we can conclude that y=1

To solve these logarithmic expressions in terms of x, y, and z, we can use logarithmic rules and properties.

A. To find the value of log base b of 50 in terms of x, y, and z, we can use the change of base formula. Using base 10 for the logarithm, we have:

log base b of 50 = log base 10 of 50 / log base 10 of b

Since log base b of 2 is x, we can rewrite log base 10 of b as log base 10 of 2 to the power of x:

log base b of 50 = log base 10 of 50 / log base 10 of 2^x

Applying the logarithmic rules, we can express 50 as a product of powers:

log base b of 50 = log base 10 of (2^x * 5^2) / log base 10 of 2^x

Using the properties of logarithms, we can split this expression:

log base b of 50 = (log base 10 of 2^x + log base 10 of 5^2) / log base 10 of 2^x

Since log base b of 3 is y and log base b of 5 is z, we can substitute these values into the equation:

log base b of 50 = (log base 10 of 2^x + 2 * log base 10 of 5) / log base 10 of 2^x

Finally, using the values x, y, and z:

log base b of 50 = (x + 2z) / x

Therefore, the value of log base b of 50 in terms of x, y, and z is (x + 2z) / x.

B. To find the value of log base b of 3000 in terms of x, y, and z, we follow a similar approach:

log base b of 3000 = log base 10 of 3000 / log base 10 of b

Using the change of base formula with base 10:

log base b of 3000 = log base 10 of 3000 / log base 10 of 2^x

Since log base b of 3 is y, we can rewrite log base 10 of b as log base 10 of 3 to the power of y:

log base b of 3000 = log base 10 of 3000 / log base 10 of 2^x * 3^y

Expressing 3000 as a product of powers:

log base b of 3000 = log base 10 of (2^x * 3^y * 5^3) / log base 10 of 2^x * 3^y

Splitting the logarithmic expression:

log base b of 3000 = (log base 10 of 2^x + log base 10 of 3^y + log base 10 of 5^3) / log base 10 of 2^x * 3^y

Substituting the given values:

log base b of 3000 = (x + y + 3z) / (x + y)

Therefore, the value of log base b of 3000 in terms of x, y, and z is (x + y + 3z) / (x + y).

Answer:

2/13 chances

Step-by-step explanation:

4+4= 8/52->4/26->2/13

Answer:

7.20Km/h

Step-by-step explanation:

You're welcome I hope it's right

The solution is:  Ashton's average speed is 7.2 km/h.

Speed is measured as distance moved over time. The formula for speed is speed = distance ÷ time. To work out what the units are for speed, you need to know the units for distance and time. In this example, distance is in metres (m) and time is in seconds (s), so the units will be in meters per second (m/s).

Speed = Distance/ Time.

Here, we have,

given that,

Ashton walked 60 meters in 30 seconds.

so, we have,

30sec. for 60m

so, 60 sec. for =60 * 2 m

                        = 120m

we know that,

60sec = 1 min.

and, 60m = 1 hour

we get,  1mint. for 120m

so, 60 mint for 120* 60m

                       =7200m

                       = 7.2 km

we get, Ashton's average speed = 7.2 km/h

Hence, The solution is:  Ashton's average speed is 7.2 km/h.

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