HELP PLEASE QUICKLY BRAINLYEST MARKED TO FIRST RIGHT ANSWER!!! What are the first four terms of the sequence defined by the following equation? f(n)=7x(1/10)^(n-1) A. 7, 7.1, 7.01, 7.001 . .. B. 7, 0.7, 0.07, 0.007 . .. C. 7, 0.7, 0.49, 0.343 . .. D. 0.7, 0.07, 0.007, 0.0007 . ..

The values of x are -3/2 and 2

Given the expression;

1/x+1 + 2/x+2 = 5/x+4

1(x + 2) + 2(x + 1) /(x +1)(x + 2) = 5/x+4

expand the bracket

x+ 2+2x + 2/x^2 + 2x + x + 2 = 5/x + 4

3x + 4/x^2 + 3x + 2 = 5/ x + 4

cross multiply

5( x^2 + 3x + 2 ) = x + 4 ( 3x + 4)

expand the bracket

5x^2 + 15x + 10 = 3x^2 + 4x + 12x + 16

collect like terms

5x^2 - 3x^2 + 15x - 16x + 10 - 16 = 0

Add like terms

2x^2 - x - 6 = 0

2x^2 - 4x + 3x - 6 = 0

(2x^2 - 4x) + (3x - 6) = 0

2x( x - 2) + 3 ( x - 2) = 0

(2x + 3) ( x - 2) = 0

2x + 3 = 0

x = -3/2

OR

x - 2 = 0

x = 2

Thus, the values of x are -3/2 and 2

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Answer:

make me brain list

thank u

Step-by-step explanation:

Based on the given mean delivery time of 10:28am and the standard deviation of 0:55 mins, the estimated times within which 95% of the deliveries are made is (a) between 8:38 am and 12:18 pm.

To calculate this interval, we need to use the z-score formula, where we find the z-score corresponding to the 95th percentile, which is 1.96. Then, we multiply this z-score by the standard deviation and add/subtract it from the mean to get the upper and lower bounds of the interval.

The upper bound is calculated as 10:28 + (1.96 x 0:55) = 12:18 pm, and the lower bound is calculated as 10:28 - (1.96 x 0:55) = 8:38 am.

Therefore, we can conclude that the interval between 8:38 am and 12:18 pm represents the estimated times within which 95% of the deliveries are made based on the given mean delivery time and standard deviation.

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We were given that:

The iguana is 42cm at birth

It increases by 12% every week; r = 12% = 0.12

The number of weeks is represented by ''x'' & the length of the Iguana is represented by ''y''

This function is represented by the expression below:

Answer:

-29, -34, -39

Step-by-step explanation:

the numbers are going down by five each time.

-24-5=-29

-29-5=-34

-34-5=-39

Hope this helps!

Answer:

-29

Step-by-step explanation:

because -14 and -19 is minus 5

Answer:

Answer is option (B)......

Answer:

2^(n-1)

Step-by-step explanation:

To find the nth term of the sequence 1, 2, 4, 8, 16, 32, 64,..., we can observe that each term is obtained by multiplying the previous term by 2. Therefore, the pattern can be described by the formula:

nth term = 2^(n-1)

In this formula, n represents the position of the term in the sequence.

For example: I

If we want to find the 5th term, we substitute n = 5 into the formula:

5th term = 2^(5-1) = 2^4 = 16

So, the 5th term of the sequence is 16.

Answer:

Step-by-step explanation:

x + 46 = 90

x = 44

m<4 = 44

It will take 3 years for the value of the computer of initial value $1000 to reach $512.

Given, Timothy purchased a computer for $1,000.

The value of the computer depreciates by 20% every year.

we have to find the number of years value of computer will take to reach $512.

Let, the function representing this situation be,

V(t) = AB^t

where, A is the initial value of the computer and B is the depreciating rate.

So, V(t) = (1000)(1 - 20/100)^t

V(t) = (1000)(0.8)^t

Now, the value will be, 512

512 = 1000(0.8)^t

0.512 = (0.8)^t

t = 3

So, it will take 3 years for the value of the computer of initial value $1000 to reach $512.

Hence, it will take 3 years for the value of the computer of initial value $1000 to reach $512.

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When your left fender is lined up with the lane boundary, then the feet from the left edge of your lane will be 3 ft.

When the curb seems to intersect the middle of the hood from the driver's seat, your automobile is normally three to six inches from the curb and in the ideal lane position. Use the centre of the hood as a reference point when attempting to park the automobile on the right side of the street.

When putting a specific automobile 3 feet from the curb or line,  it is wise to use the centre of the hood as a reference point for the right-side restriction. For distances of three feet from the curb or line, utilise the right quarter of the hood as a point of reference.

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α - β , α + β are the zeroes of x² - 4x + 3.

The coordinates of (a,b)

(Let a = α & b = β).

On comparing with standard form of a quadratic equation i.e., ax² + bx + c = 0 ;

Let ;

a = 1

b = - 4

c = 3.

We know that,Sum of the zeroes = - b/a

⟹ α - β + α + β = - ( - 4)/1

⟹ 2α = 4

⟹ α = 4/2

⟹ α = 2

And,

Product of the zeroes = c/a

⟹ (α - β) * (α + β) = 3/1

(a + b) * (a - b) = a² - b².

⟹ α² - β² = 3

Putting the value of α we get,

⟹ (2)² - β² = 3

⟹ 4 - 3 = β²

⟹ 1 = β²

⟹ √1 = β

⟹ 1 = β

∴(a , b) = (α , β) = (2 , 1). (Option - C).

I hope it will help you.

Regards.

Answer:

Siso your answer refer in pic

It's important to know that the sum of two opposite numbers is zero because opposite numbers have the same absolute value but opposite sign, for example, 2 and -2 are opposite numbers.

The correct number line must have its final position on zero.

Notice that the number line A shows -5 as the initial number and then goes back 5 units to zero.

Hi, there.

 _____

"5 less than 4 times a number" 4x-5

"is the same as" =

"9 times the number" 9x

Putting the parts together,

\(\boldsymbol{4x-5=9x}\)

Solving the two step equation

\(\boldsymbol{4x-9x=5}\)

\(\boldsymbol{-5x=5}\)

Divide both sides by -5

\(\boldsymbol{x=-1}\)

So the A answer checks.

Hope the answer - and explanation - made sense,

happy studying!!

The solution to the system of equations are infinite many

From the question, we have the following parameters that can be used in our computation:

−6x − 4y + 4z = 4

−3x + y + 8z = 8

x − 3y − 8z = −8

Multiply (2) by 3 and (3) by 6

−6x − 4y + 4z = 4

−6x + 2y + 16z = 16

6x − 18y − 48z = −48

Eliminate x in the equations

So, we have

-22y - 44z = -42

-16y - 32z = -32

Solving for y and z, we have

(y, z) = infinite many solutions

Hence, the ordered triples are infinite many

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The man walked 4 miles east which means he walked 4 miles in the east direction, then he walks 4 miles southeast, so he covered 4 miles in the east-south direction.

The next he walks 7 miles south, and after that he walks 6 miles southwest, so he covered 6 miles in the south-west direction.

Finally, he walks 2 miles east, and this means he covered 2 miles in the east direction. Therefore, the total distance that the man walked = 4 + 4 + 7 + 6 + 2 = 23 miles.

If the man walked straight home, then he would have walked 4 + 4 + 7 + 6 + 2 miles = 23 miles.

So, the man would have walked the same distance (23 miles) if he walked straight home.

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Answer:

28

Step-by-step explanation:

21 is the price of 3/4

21 : 3 * 4 =

28₹

The students should use a t-test to analyze the significance of the data they collected is a true statement.

In this scenario, the population standard deviation is unknown and the sample size is small (n=25). Therefore, a t-test should be used instead of a z-test. The t-test is a statistical hypothesis test that is used to determine if there is a significant difference between the means of two groups when the sample size is small and/or the population standard deviation is unknown.

Using a t-test will allow the students to analyze the significance of their data in a more appropriate and accurate way, taking into account the small sample size and the fact that they do not know the population standard deviation.

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Two samples can have the same mean but different standard deviations if one sample has more variability than the other. For example, one sample may have data points that are tightly clustered around the mean, while the other sample may have data points that are more spread out.

This can result in the same mean value for both samples, but different levels of variability.

Here's an example bar graph to illustrate this concept:

     Sample 1                Sample 2

 ╭────────────────╮   ╭────────────────╮

 │      Mean      │   │      Mean      │

 ├────────────────┤   ├────────────────┤

 │                │   │    ╭─╮         │

 │                │   │    │ │         │

 │                │   │    │ │         │

 │                │   │    ╰─╯         │

 │     o o o      │   │  o o o o o o  │

 │                │   │                │

 │                │   │                │

 │                │   │                │

 ╰────────────────╯   ╰────────────────╯

     Std. Dev.            Std. Dev.

In this example, both Sample 1 and Sample 2 have a mean value of 5. However, Sample 1 has lower variability with a standard deviation of 1, while Sample 2 has higher variability with a standard deviation of 3. The error bars on the graph represent the standard deviation for each sample.

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The middle 50% of the distribution for X, the bounds of which form the distance represented by the IQR, lies between the first and third quartiles of the data set.

Specifically, the first quartile (Q1) marks the 25th percentile of the data set, while the third quartile (Q3) marks the 75th percentile.

The difference between Q3 and Q1 is known as the interquartile range (IQR).The IQR is a helpful measure of spread in a data set since it excludes outliers from the calculation. Outliers are any data points that fall outside of 1.5 times the IQR above the third quartile or below the first quartile of the data set. Therefore, the middle 50% of the distribution for X lies between Q1 and Q3, with the IQR representing the range of values between these two quartiles.

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Answer:

41.5675675676km/hour or 41.57km/hour

Step-by-step explanation:

158÷3.7=41.5675675676  or 41.57

Cross product of a and b : a x b = (3 - t, t - t^2, t^3 - 3t^2)

To find the cross product a x b for a = (t, 3, 1/t) and b = (t^2, t^2, 1), follow these steps:

Write out the components of vectors a and b:

a = (t, 3, 1/t)
b = (t^2, t^2, 1)

Use the cross product formula:

a x b = (a2b3 - a3b2, a3b1 - a1b3, a1b2 - a2b1)

Calculate the components of the cross product:

a x b = (3(1) - (1/t)(t^2), (1/t)(t^2) - t(1), t(t^2) - 3(t^2))

Simplify the expression:

a x b = (3 - t, t^2/t - t, t^3 - 3t^2)

Write the final cross product:

a x b = (3 - t, t - t^2, t^3 - 3t^2)

To verify that the cross product is orthogonal to both a and b, we need to check if the dot product of a x b with a and b is zero.

Calculate the dot product of a x b with a:

(3 - t)(t) + (t - t^2)(3) + (t^3 - 3t^2)(1/t)

Simplify the expression:

3t - t^2 + 3t - 3t^2 + t^2 - 3t = 0

Calculate the dot product of a x b with b:

(3 - t)(t^2) + (t - t^2)(t^2) + (t^3 - 3t^2)(1)

Simplify the expression:

3t^2 - t^3 + t^3 - t^4 + t^3 - 3t^2 = 0

Since both dot products are equal to zero, the cross product a x b = (3 - t, t - t^2, t^3 - 3t^2) is orthogonal to both vectors a and b.

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Answer:

Solution given:

ratio of boys to the girls=5:3

let ratio be 5x and 3x

we have

5x+3x=40

8x=40

x=40/8

x=5

5x=5*5=25

3x=3*5=15

\(\)

No of boys=25

No of girls=15

To find the values of a, b, and c that make the expression 3x/(x+2) + 4x/(x-2) equivalent to ax^2 + bx/x^2 + c, we need to simplify the given expression and compare it with the target expression.

First, let's simplify the given expression:

3x/(x+2) + 4x/(x-2)

To combine the fractions, we need a common denominator, which in this case is (x+2)(x-2):

[(3x)(x-2) + (4x)(x+2)] / [(x+2)(x-2)]

Expanding and combining like terms:

[(3x^2 - 6x) + (4x^2 + 8x)] / [(x+2)(x-2)]

(7x^2 + 2x) / [(x+2)(x-2)]

Now, let's compare this expression with the target expression ax^2 + bx/x^2 + c:

We can observe that a = 7, b = 2, and c = 0.

Therefore, the values for a, b, and c that make the expression 3x/(x+2) + 4x/(x-2) equivalent to ax^2 + bx/x^2 + c are:

a = 7

b = 2

c = 0

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Answer:

That's incredible.  I have that exact problem on my website.

Here is my explanation.

My website says probability = 0.131944444444445

https://www.1728.org/occupncy8.htm

Step-by-step explanation:

Based on the given task content, the missing value in the given equivalent ratios 5 : 8 = x : 40 is 25

Ratio refers to a number representing a comparison between two named things or quantities.

Let

The missing value = x

5 : 8 = x : 40

5/8 = x/40

5 × 40 = 8 × x

200 = 8x

x = 200/8

x = 25

Check:

5 : 8 = x : 40

5/8 = 25/40

5/8 = 5/8

Therefore, the missing value, x in the ratios 5 : 8 = x : 40 is 25

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The standard normal distribution has a mean of 0 and a standard deviation of 1. M ≈ 30.935. The median of the distribution is also 25.

(a) To find M, we first need to convert the given values of mean and standard deviation to the standard normal distribution. This can be done by using the formula Z = (X - μ) / σ, where Z is the Z-score, X is the value of interest, μ is the mean, and σ is the standard deviation. In this case, we have X ~ N(25, 9). Substituting the values into the formula, we get Z = (X - 25) / 3. Now we need to find the Z-score that corresponds to the desired probability of 0.95. Using a standard normal distribution table or a calculator, we find that the Z-score corresponding to a cumulative probability of 0.95 is approximately 1.645. Setting Z equal to 1.645, we can solve for X: (X - 25) / 3 = 1.645. Solving for X, we get X ≈ 30.935. Therefore, M ≈ 30.935.

(b) The median is the value that divides the distribution into two equal halves. In a normal distribution, the median is equal to the mean. In this case, the mean is given as 25. Therefore, the median of the distribution is also 25.

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The correct match will be closest to zero = x-y , greatest value = x + y and least value = -x

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

The vertical line is representing the data from 0 to 8 positive side and 0 to -8 negative side. We can see that the closest value to zero will be x-y

the least value will be -x and the greatest value is x + y.

Each interval is of unit 2 so the values x and y will be 4 and 2 respectively

closest to zero = x-y = 4-2 = 2

greatest value = x + y = 4+2 = 6

least value = -x = -4

Therefore the correct match will be closest to zero = x-y , greatest value = x + y and least value = -x

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