scientists have calculated that the earth is 4 540 000 00 years old. How many billion years is this

Answer: number 7. 7

Step-by-step explanation:

Simplifying

7X + 1 + -5X = 15

Reorder the terms:

1 + 7X + -5X = 15

Combine like terms: 7X + -5X = 2X

1 + 2X = 15

Solving

1 + 2X = 15

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add '-1' to each side of the equation.

1 + -1 + 2X = 15 + -1

Combine like terms: 1 + -1 = 0

0 + 2X = 15 + -1

2X = 15 + -1

Combine like terms: 15 + -1 = 14

2X = 14

Divide each side by '2'.

X = 7

Simplifying

X = 7

Answer:

makes no sense

Step-by-step explanation:

Answer: What is this free?

Answer:

yes

Step-by-step explanation:

yes+yes(no-no)

=yes

Answer:

65,536 kg

Step-by-step explanation:

To reach her home in half an hour, she needs to double her speed twice, which is equivalent to a 200% increase in speed. Therefore, the correct answer is 200%.

Speed is a measure of how quickly an object or person moves from one point to another. It is usually expressed in terms of distance traveled over time, for example, miles per hour or kilometers per hour.

To calculate this, we need to find the time taken for her to reach her home if her speed is doubled.

If her initial speed is 40 km/hr, then by doubling her speed, she will be travelling at a speed of 80 km/hr.

By travelling at this speed, she can reach her home in half an hour i.e. 30 minutes.

Therefore, the time taken to reach her destination by doubling her speed is 30 minutes.

The time taken to reach her destination while travelling at her initial speed is 2 hours.

To calculate the percentage increase in speed, we have to find the ratio of the time taken to reach her destination when the speed is doubled to the time taken to reach her destination when the speed is not doubled.

Therefore, the percentage increase in speed

= (30/120) x 100

= 25%.

Since she needs to double her speed to reach her home in half an hour, the percentage increase in speed required is 100%.

To reach her home in half an hour, she needs to double her speed twice, which is equivalent to a 200% increase in speed.

Therefore, the correct answer is 200%.

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Answer:

BODMAS RULE

(c-3)²=100

c²-6c+9=100

c²-6c=100-9

c²-6c=91

c²-6c-91=0

then factories

Answer:

40

explanation:

The range is the difference between the smallest and highest numbers in a list or set. To find the range, first put all the numbers in order. Then subtract the lowest number from the highest. The answer gives you the range of the list.

The final result of the integral is:

∫ (log(1 + x²) / (x + 1)²) dx = log(x + 1) - 2 (log(x + 1) / x) - 2Li(x) + C,

where Li(x) is the logarithmic integral function and C is the constant of integration.

We have,

To solve the integral ∫ (log(1 + x²) / (x + 1)²) dx, we can use the method of substitution.

Let's substitute u = x + 1, which implies du = dx. Making this substitution, the integral becomes:

∫ (log(1 + (u-1)²) / u²) du.

Expanding the numerator, we have:

∫ (log(1 + u² - 2u + 1) / u²) du

= ∫ (log(u² - 2u + 2) / u²) du.

Now, let's split the logarithm using the properties of logarithms:

∫ (log(u² - 2u + 2) - log(u²)) / u² du

= ∫ (log(u² - 2u + 2) / u²) du - ∫ (log(u²) / u²) du.

We can simplify the second integral:

∫ (log(u²) / u²) du = ∫ (2 log(u) / u²) du.

Using the power rule for integration, we can integrate both terms:

∫ (log(u² - 2u + 2) / u²) du = log(u² - 2u + 2) / u - 2 ∫ (log(u) / u³) du.

Now, let's focus on the second integral:

∫ (log(u) / u³) du.

This integral does not have a simple closed-form solution in terms of elementary functions.

It can be expressed in terms of a special function called the logarithmic integral, denoted as Li(x).

Therefore,

The final result of the integral is:

∫ (log(1 + x²) / (x + 1)²) dx = log(x + 1) - 2 (log(x + 1) / x) - 2Li(x) + C,

where Li(x) is the logarithmic integral function and C is the constant of integration.

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The solution for all three is mathematically given as

Generally, the equation for students taking only PE and not Bio and Eng is  mathematically given as

P(PBE)= 28 – (5+6+4)

= 28 - 15

= 13

Students taking only Bio and not PE and Eng

P(BP)= 31 – (5+4+2)

= 31 - 11

= 20  

Students who are merely studying English and are not also taking Bio and PE

P(EP)= 42 – (6+4+2)

= 42 - 12

= 30  

Now, students who have taken three different classes

P(3)= 100 - ( 13 + 5 + 4 + 20 + 2 + 30 + 6 )

= 100 - 80

= 20

In conclusion, Students who have taken BIO and PE but not ENG will get a = 5 for their efforts.

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The cordinates of the turning point of the graph of y=f(x) occurs at (1.1) and (5/3, 23/27)

2

(x−2)+1

Now, differentiating w.r.t. x, we get

f

′

(x)=2(x−1)(x−2)+(x−1)

2

=(x−1)[2(x−2)+x−1]

=(x−1)[3x−5]

Hence,

f

′

(x)=0 implies x=1 and x=

3

5

​

Corresponding values of y are y=1 and y=

27

23

​

 respectively.

∴ Co-ordinates of turning point of the graph of f(x) occurs at (1,1) and (

3

5

​

,

27

23

​

)

Now,

f(x)=(x−1)

2

(x−2)+1

=(x

2

−2x+1)(x−2)+1

=x

3

−2x

2

−2x

2

+4x+x−2+1

=x

3

−4x

2

+5x−1

The value of p for which the equation f(x)=p has 3 distinct solutions lies in interval (

27

23

​

,1)

Area enclosed by f(x),x=0,y=1 and x=1 is

A=∫

0

1

​

(1−f(x))dx

⇒∫

0

1

​

(4x

2

−x

3

−5x+2) dx

⇒A=

12

7\

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The proof of the parallelogram has been given below

We have WXYZ as a parallelogram.

XW = ZY

XW // ZY

such that

M ∠VXW = M VZY (This is alternate interior angles,)

M∠VWX = M ∠VYZ

therefore ΔVXW ≅ Δvzy

wv = yv

Then XZ bisects WY

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The missing number in Sequence 2 is 780.

To find the missing number in Sequence 2, let's analyze the pattern:

In Sequence 1, the numbers increase by 1 each time: 126, 127, 128, 129, ...

In Sequence 2, the numbers seem to follow a pattern where each number is obtained by multiplying the corresponding number in Sequence 1 by a certain factor:

2 x 126 = 252

3 x 127 = 381

4 x 128 = 512

5 x 129 = 645

...

Looking at this pattern, we can see that the missing number in Sequence 2 should be:

6 x 130 = 780

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The solution to the system of equations is (x, y) = (-261/47, 44/47) as an ordered pair.

To solve the given system of equations:

Equation 1: 8x + 9y = -36

Equation 2: x + 7y = 1

We can use the method of substitution or elimination to find the values of x and y. Let's use the method of substitution:

From Equation 2, we can solve for x:

x = 1 - 7y

Substituting this value of x into Equation 1:

8(1 - 7y) + 9y = -36

8 - 56y + 9y = -36

-47y = -44

y = 44/47

Substituting the value of y back into Equation 2 to find x:

x + 7(44/47) = 1

x + 308/47 = 1

x = 1 - 308/47

x = (47 - 308)/47

x = -261/47

Therefore, as an ordered pair, the solution to the system of equations is (x, y) = (-261/47, 44/47).

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The quadratic equation written in vertex form is:

y = (x + 1)^2 - 9

A quadratic equation with a leading coefficient a and a vertex (h, k) can be written as:

y = a*(x - h)^2 + k

On the graph we can see that the vertex is at (-1, -9), then we have:

y = a*(x + 1)^2 - 9

Now we also can see that the y-intercept is y = -8, then evaluating in zero we should get:

-8 = a*(0 + 1)^2 - 9

-8 = a - 9

-8 + 9 = a = 1

The quadratic equation is:

y = (x + 1)^2 - 9

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Answer:

For every 4 votes Natalie received, Phil received 3 votes.

Step-by-step explanation:

Answer:

5 1/3

Step-by-step explanation:

Apply +133.3% to the sides

Answer:

a = 3

Step-by-step explanation:

Collect like-terms:

\( - 16 = a - 19\)

\(a = - 16 + 19\)

\(a = 3\)

Answer: 3

Step-by-step explanation: you take 19 from 3 giving you -16

Answer:

Yes, since log(2) and log(5) both exist as valid values for the logarithm.

didnt check if ur equation is correct though

The theorem of similarity implies that the line segment divided the triangle into the proportional segment.

It should be noted that the theorem of similarity states that the line segment splits two sides of a triangle into proportional segments.

This occurs when the side is parallel to the third side of the triangle.

These three theorems, known as Angle-Angle (AA), Side-Angle-Side (SAS), and Side-Side-Side are foolproof methods for determining similarity in triangles.

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Answer:

VA(t) =vB(t)-50

Step-by-step explanation:

Answer:A

Step-by-step explanation:

Vᴀ() = Vʙ () - 50

The fewest number of students who could have chosen the topic selected by most students is 17.

Since there are six essays and each student is required to write an essay on one of the six topics, the probability of choosing one of the six topic is

P(one topic) = one topic/total number of topics

= 1/6.

Since we have 100 students, the fewest number of students that could choose the topic selected by most students is

n = Probability of selecting one topic × total number of students

= P(one topic) × 100

= 1/6 × 100

= 16.67

≅ 17 students.

So, the fewest number of students who could have chosen the topic selected by most students is 17.

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Answer:58.60

Step-by-step explanation:

because this was just a wasted  of you time very not sorry thx for the pts .

Answer:

53\(x_{123}\) == 134 cf

Step-by-step explanation:

A - on the po boyds at a emase the foot, 1, of building. He. Observes an obje- et on the top, P of the building at an angle of ele- building of 66 Aviation of 66 Hemows directly backwards to new point C and observes the same object at an angle of elevation of 53° · 1P) |MT|= 50m point m Iame horizontal level I, a a​

The height of the building is approximately 78.63 meters.

The following is a step-by-step explanation of how to solve the problem. We'll need to use some trigonometric concepts and formulas to find the solution.

Therefore, the height of the building is approximately 78.63 meters.

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The probabilities are given as follows:

3. P(rides bus|owns a car) = 1/3.

4. P(red|organic) = 3/5.

The probability of an event in an experiment is obtained as the number of desired outcomes of the experiment divided by the number of total outcomes of the experiment.

For item 3, the outcomes are given as follows:

Hence the probability is:

P(rides bus|owns a car) = 8/24 = 1/3.

For item 4, the outcomes are given as follows:

The error was in identifying the total outcomes, and the probability is:

P(red|organic) = 18/30 = 3/5.

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The mean and the standard deviation, from the frequency table, are given as follows:

The frequency table gives the number of times that each observation appears.

The mean of a data-set is given by the sum of all observations divided by the number of observations, hence it is given as follows:

Mean = (1 x 13 + 2 x 12 + 3 x 5)/(13 + 12 + 5) = 1.73.

The standard deviation is given by the square root of the sum of the difference squared between each observation and the mean, divided by the number of observations, hence it is given as follows:

Standard deviation = sqrt((13 x (1 - 1.73)² + 12 x (2 - 1.73)² + 5 x (3 - 1.72)²)/30) = 0.73.

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Answer:

Equation of line is given as y = mx + c, where m is the gradient and c is the y-intercept.

First find the gradient. Formula for gradient is given as (y2-y1)÷(x2-x1) or (y1-y2)÷(x1-x2).

Gradient = (2-0)÷(0-4) = -1/2

Equation of line is y = -1/2x + c

Substitute either one of the points into the equation to find c.

0 = -1/2(4) + c

c = 2

Hence, the equation of the line is y = -1/2x + 2.

for the given normally distributed random variable,

(a) P(16 < X < 22) = 0.7333

(b) P(X < k1) = 0.2946; such that the value of k1 = 16.625

(c) P(X > k2) = 0.8186; such that the value of k2 = 15.725

(d) The two cut-off values that contain the middle 90% of the normal curve area are -1.64 and +1.64.

The formula for finding the z-score is

z = (X - μ)/σ

Here the mean (μ) and the standard deviation (σ) are applied.

It is given that, a normally distributed random variable X has a mean μ = 18 and the variance σ² = 6.25.

So, its standard deviation is σ = √6.25 = 2.5

(a) P(16 < X < 22)

The z-score for X = 16 is

z = (X - μ)/σ ⇒ z = (16 - 18)/2.5 = -0.8

The z-score for X = 22 is

z = (X - μ)/σ ⇒ z = (22 - 18)/2.5 = 1.6

So, the probability becomes

P(16 < X < 22) = P(-0.8 < z < 1.6)

                       = P(z < 1.6) - P(z < -0.8)

From the distribution table, we have P(z < 1.6) = 0.9452 and P(z < -0.8) = 0.2119.

So, we get

P(16 < X < 22) = 0.9452 - 0.2119 = 0.7333

(b) The value of k1 such that P(X < k1) = 0.2946:

we have P(X < k1) = 0.2946

⇒ P(X < k1) = P(z < (k1 - μ)/σ) = 0.2946

From the table, we know that,

P(z < -0.55) = 0.2946

So,

(k1 - μ)/σ = -0.55

⇒ (k1 - 18)/2.5 = -0.55

⇒ k1 - 18 = -0.55 × 2.5 = -1.375

∴ k1 = -1.375 + 18 = 16.625

(c) The value of k2 such that P(X > k2) = 0.8186:

we have P(X > k2) = 0.8186

⇒ P(z > (k2 - μ)/σ) = 0.8186

⇒ 1 - P(z < (k2 - μ)/σ) = 0.8186

⇒ P(z < (k2 - μ)/σ) = 1 - 0.8186 = 0.1814

From the table, we know that P(z < -0.91) = 0.1814

So,

(k2 - μ)/σ = -0.91

⇒ (k2 - 18)/2.5 = -0.91

⇒ k2 - 18 = -0.91 × 2.5 = -2.275

∴ k2 = -2.275 + 18 = 15.725

(d) The two cut-off values that contain the middle 90% of the normal curve area are -1.64 and +1.64 since the z-score for a 90% confidence interval is 1.64.

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