Which fraction is greater and why? 1/51 or 1/52​

Answer:

The nth term is \(a_n = 4 - 5(n-1)\)

The 60th term of the sequence is -291.

Step-by-step explanation:

Arithmetic sequence:

In an arithmetic sequence, the difference between consecutive terms is always the same, and it is called common difference.

The nth term is given by:

\(a_n = a_1 + (n-1)d\)

In which \(a_1\) is the first term and d is the common difference.

4,-1,-6

The common difference is:

\(d = -1 - 4 = -5\)

First term \(a_1 = 4\)

So

\(a_n = a_1 + (n-1)d\)

\(a_n = 4 - 5(n-1)\)

60th term:

\(a_{60}\). Si

\(a_{60} = 4 - 5(60-1) = -291\)

The 60th term of the sequence is -291.

Answer:

I dont know im in middle school can you please giva me one i have to get my grades up

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

3

5

(1)

4

(25)

=

3

5

4

(25)

=

3

20

(25)

=

15

4

Answer:

6x/4×10x/3× x/6

5x^3/6

You are testing if the mean is greater than a value, hence you should use a right-tailed test, with a critical value of \(\frac{\alpha}{2}\).

There are three classifications regarding the test of an hypothesis, which are presented as follows, along with the critical values used in each case:

More can be learned about the test of an hypothesis at https://brainly.com/question/15980493

#SPJ1

Answer:

An acute angle

Step-by-step explanation:

An acute angle is smaller than an obtuse ad right angle.

hope this helps and hope it was right 'cause I really don't know what you meant. :)

We have a guide graph:

but this function undergoes a series of transformations after altering the function to be expressed as follows

For this, we must remember the function transformation rules.

1.

Where "c" units are moved horizontally to the right.

That is to say that in our function g(x) the function describes a translation of one unit to the right.

2.

Where "c" units are moved vertically upwards.

That is to say that in our function g(x) the function describes a translation of two units to upwards

3.

Where if c>1 it vertically stretches the graph of y=g(x) by a factor of "c".

That is to say that our function has a vertical stretch by a factor of 3.

In conclusion, the option that meets a vertical stretch with a factor of 3 and a translation of 1 unit to the right and 2 units upward is option C.

Therefore , the solution of the given problem of area comes out to be

r = 8.

The term "area" describes the amount of space occupied by a 2D form or surface. We use cm2 or m2 as our units for measuring area. A shape's area is determined by dividing its length by its breadth.

Here,

A 90 degree sector occupies 1/4 of a circle, which has 360 degrees. Consequently, the area of the whole circle can be written as

Sector Size/Sector Area = Circle Area/360

16 ft2/90 = n/360

(360) (16 ft2)/90 = n

(4)(16 ft2) = n

The total size of the circle is n = 64 ft2.

Since Area of a Circle equals r2,

∏r2 = 64

r2 = 64/∏

r = √(64/∏)

We multiply by / to get by rationalizing the denominator.

r = √(64∏)/√(∏2) Then using the denominator's square root, we can obtain the solution of

r = √(64∏)/∏

r = 8

Therefore , the solution of the given problem of area comes out to be

r = 8.

To know more about area, visit

https://brainly.com/question/27683633

#SPJ1

Answer:

probably not, but if you were to post the questions without it saying on it that its an exam (because those get deleted all the time) people could help you through it. :)

Step-by-step explanation:

Answer:

x = 2.4

Step-by-step explanation:

4x + 5 / x + 7
combine like terms

X + 4x = 5x

5 + 7= 12

12/ 5x

Divide

12 /5= 2.4

X= 2.4

Answer:

The percent change is 9%

Step-by-step explanation:

When you add 40 + 6 you get 46. 46 + 3 you get 49.

49/100 is the usual of a percentage. She already has 40 shells. So there is a 9% different change in her collection. If they ask for a positive or a negative change, it is a positive change since you are adding by 9% to the collection.

Thanks. PLS give me brainiest.

Answer:

17.8

Step-by-step explanation:

Answer:

We want to expand the expression:

\((x - \frac{1}{x^2} )^4\)

We can just do it by brute force, this is:

First, rewrite our expression as the product of two square factors:

\((x - \frac{1}{x^2} )^4 = (x - \frac{1}{x^2} )^2*(x - \frac{1}{x^2} )^2\)

Now we can expand each one these two factors:

\((x - \frac{1}{x^2} )^2 = (x - \frac{1}{x^2} )*(x - \frac{1}{x^2} ) = x^2 + \frac{1}{x^4} -2*x*\frac{1}{x^2}\)

That can be simplified to

\(x^2 - \frac{2}{x} + \frac{1}{x^4}\)

Now we can replace that in our original expression to get:

\((x^2 - \frac{2}{x} + \frac{1}{x^4})*(x^2 - \frac{2}{x} + \frac{1}{x^4})\)

Now we can expand that last product, to get:

\((x^2)^2 + 2*(x^2)*(-\frac{2}{x} ) + 2*(x^2)*(\frac{1}{x^4}) + 2*(\frac{-2}{x})*(\frac{1}{x^4}) + (\frac{-2}{x} )^2 + (\frac{1}{x^4})^2\)

We can simplify that to:

\(x^4 - 4x + 2x^2 - \frac{4}{x^5} + \frac{4}{x^2} + \frac{1}{x^8}\)

That is the expanded expression.

A, the relation is not a function

in order for something to be a function, x (the input) can't repeat itself more than once

Answer:

55.11% probability that the mean life a random sample of 9 such blenders falls between 4.5 and 5.1 years.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this question:

\(\mu = 5, \sigma = 1, n = 9, s = \frac{1}{\sqrt{9}} = 0.3333\)

Find the probability that the mean life a random sample of 9 such blenders falls between 4.5 and 5.1 years.

This is the pvalue of Z when X = 5.1 subtracted by the pvalue of Z when X = 4.5. So

X = 5.1

\(Z = \frac{X - \mu}{\sigma}\)

By the Central Limit Theorem

\(Z = \frac{X - \mu}{s}\)

\(Z = \frac{5.1 - 5}{0.3333}\)

\(Z = 0.3\)

\(Z = 0.3\) has a pvalue of 0.6179

X = 4.5

\(Z = \frac{X - \mu}{s}\)

\(Z = \frac{4.5 - 5}{0.3333}\)

\(Z = -1.5\)

\(Z = -1.5\) has a pvalue of 0.0668

0.6179 - 0.0668 = 0.5511

55.11% probability that the mean life a random sample of 9 such blenders falls between 4.5 and 5.1 years.

The inequality corresponding to the equation -4x + y = -3 is either y > 4x - 3 or y < 4x - 3, depending on the relationship between 4x - 3 and 0.

To write the inequality represented by the equation -4x + y = -3, we first need to manipulate the equation to express y in terms of x.

Starting with -4x + y = -3, we isolate y by adding 4x to both sides:

y = 4x - 3

Now we have y expressed in terms of x. To form the inequality, we consider the relationship between x and y. The inequality depends on whether the expression 4x - 3 is greater than or less than 0.

If 4x - 3 is greater than 0, then y is greater than 0, and we can write the inequality as:

y > 4x - 3

If 4x - 3 is less than 0, then y is less than 0, and we can write the inequality as:

y < 4x - 3

The inequality represents a region in the coordinate plane where the y-values are either greater than or less than the expression 4x - 3, depending on the direction of the inequality sign.

For example, if we choose a point (x, y) in the region above the line y = 4x - 3, where y is greater than 4x - 3, the inequality y > 4x - 3 will hold true. On the other hand, if we choose a point below the line, where y is less than 4x - 3, the inequality y < 4x - 3 will be satisfied.

For more such questions on inequality

https://brainly.com/question/30238989

#SPJ8

The probability that four batteries connected in series will have a combined voltage of 60.8 or more volts is approximately 0.0228 or 2.28%.

To find the probability that four batteries connected in series will have a combined voltage of 60.8 or more volts, we need to use the concept of the Central Limit Theorem.

In this case, we know that the mean voltage of a single battery is 15 volts and the standard deviation is 0.2 volts. When batteries are connected in series, their voltages add up.

The combined voltage of four batteries connected in series is the sum of their individual voltages. The mean of the combined voltage will be 4 times the mean of a single battery, which is 4 * 15 = 60 volts.

The standard deviation of the combined voltage will be the square root of the sum of the variances of the individual batteries. Since the batteries are connected in series, the variance of the combined voltage will be 4 times the variance of a single battery, which is 4 * (0.2)^2 = 0.16.

Now, we need to calculate the probability that the combined voltage of four batteries is 60.8 or more volts. We can use a standard normal distribution to calculate this probability.

First, we need to standardize the value of 60.8 using the formula:

Z = (X - μ) / σ

Where X is the value we want to standardize, μ is the mean, and σ is the standard deviation.

In this case, the standardized value is:

Z = (60.8 - 60) / sqrt(0.16)

Z = 0.8 / 0.4

Z = 2

Next, we can use a standard normal distribution table or calculator to find the probability associated with a Z-score of 2. The probability of obtaining a Z-score of 2 or more is approximately 0.0228.

Therefore, the probability that four batteries connected in series will have a combined voltage of 60.8 or more volts is approximately 0.0228 or 2.28%.

Learn more about probability here:

https://brainly.com/question/23417919

#SPJ8

Answer:

The answer is

Step-by-step explanation:

First of all convert the mixed number to an improper fraction

We have

So we have

Since they have the same denominator we can subtract them directly

We have

Reduce the fraction with 2

We have the final answer as

Hope this helps you

Answer:

D

Step-by-step explanation:

Y2-Y1/x2-x-1

Answer:

D

Step-by-step explanation:

Formula for slope is (y2-y1)/(x2-x1).

(1-(-3))/(1-(-2)) = 4/3

Answer: 5/2

Step-by-step explanation:

slope equation: (y2-y1)/(x2-x1)

13-3/5-1 = 10/4 or 5/2

Answer:

2.5

Step-by-step explanation:

Gradient (slope) =

\(m = \frac{y2 - y1}{x2 - x1} = \frac{13 - 3}{5 - 1} = \frac{10}{4} = 2 \frac{1}{2} \)

Answer:

Step-by-step explanation:

(5+np)/10=5/8

5+np=50/8

np=50/8-5

np=(50-40)/8

np=10/8

np=1.25

Answer:

Attached is an example of a circle with a radius of 5 and a diameter of 10.

If this answer helped you, please leave a thanks or a Brainliest!!!

Have a GREAT day!!!

The spreadsheet formula that would correctly calculate the average (mean) of the given values is: (25 + 50 + 75) / 3 = 50.

An average is a single number taken as representative of a list of numbers, generally the sum of the numbers divided by how many numbers are in the list (the arithmetic mean).

The formula to calculate the average of given numbers is equal to the sum of all the values divided by the total number of values. Average = Sum of Values / Number of Values.

So, in this case:

Values: 25, 50, 75

Number of Values: 3

Thus, the average:

Sum of Values / Number of Values = (25 + 50 + 75) / 3 = 50

Hence, the spreadsheet formula that would correctly calculate the average (mean) of the given values is: (25 + 50 + 75) / 3 = 50.

Learn more about average at: https://brainly.com/question/15397049

#SPJ4

Answer:

the answer is 60 because 2 times 30 is 60

Step-by-step explanation:

The solution is:

The inverse of the given equation is ±sqrt(x+1).

Here, we have,

given equation is :

y = x^2 -1

now, we have to find the inverse of the given equation

so, we have,

Exchange x and y, we get,

x = y^2 -1

Solve for y, we get,

Add 1 for each side

we get,

x+1 = y^2-1+1

x+1 = y^2

Take the square root of each side

we get,

±sqrt(x+1) = sqrt(y^2)

±sqrt(x+1) = y

The inverse is ±sqrt(x+1)

Hence, The solution is:

The inverse of the given equation is ±sqrt(x+1).

To learn more on function click:

brainly.com/question/21145944

#SPJ1

complete question:

If f(x) = x^2 -1, what is the equation for f–1(x)?

Answer: u need to send a pic of the angle

Step-by-step explanation:

The 70 meters by 50 meters rectangular field having a path with an area of 104 m² around it indicates that the width of the path, found using the quadratic formula is about 0.43 meters.

The quadratic formula is a formula that is used to find the values of x that are the solutions to the the the quadratic equation of the form, a·x² + b·x + c = 0.

The length of the rectangular field = 70 meters

The width of the rectangular field = 50 meters

The width of the path around the field = Uniform width

Area of the path around the field = 104 m²

Let x represent the width of the path, we get;

(70 + 2·x) × (50 + 2·x) - 70 × 50 = 104

4·x² + 240·x = 104

4·x² + 240·x - 104 = 0

The quadratic formula which can be used to find the value of x in the equation a·x² + b·x + c = 0, is presented as follows;

\(x = \dfrac{-b\pm \sqrt{b^2-4\cdot a \cdot c} }{2\cdot a}\)

Comparing the equation 4·x² + 240·x - 104 = 0 to the quadratic equation for the quadratic formula; a·x² + b·x + c = 0, we get;

a = 4, b = 240, c = -104

Therefore;

\(x = \dfrac{-240\pm \sqrt{240^2-4\times 4 \times (-104)} }{2\times 4}\)

x ≈ 0.430 or x ≈ -60.4

Learn more about the quadratic formula here:

https://brainly.com/question/17156227

#SPJ1

Answer:

15%

Step-by-step explanation:

56-32/32×100

24/32×100=75

100-75=15%

Answer:

15%

Step-by-step explanation:

Answer:

None

Step-by-step explanation:

Given

\(m = (4,-2)\)

Required

Point 2 units from m

There are 4 possible points 2 units from m and they are:

\(m' = (4+2,-2) = (6,-2)\)

\(m" = (4,-2+2) = (4,0)\)

\(m'''= (4-2,-2) = (2,-2)\)

\(m'''' = (4,-2-2) = (4,-4)\)

From the graph, we have:

\(A = (4,2)\)

\(B = (-4,2)\)

\(C = (2,-3)\)

None of the points is 2 units from m

Point m is located at (4,-2), then point C is located approximately 2 units from point m.

A point in a graph is its location denoted using x and y axis.

Given the following information:

Coordinates of point m=(4,-2)

Coordinates of point A=(4,2)

Coordinates of point B=(-4,2)

Coordinates of point C=(2,-3)

Formula used to find distance between two points say (x1,y1) and (x2,y2) is

\(D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

D1 distance between m and A is

\(D_1=\sqrt{(4-4)^2+(2+2)^2}\\D_1=4\)

D2 distance between m and B is

\(D_2=\sqrt{(-4-4)^2+(2+2)^2}\\D_2=4\sqrt5\)

D3 distance between m and C is

\(D_3=\sqrt{(2-4)^2+(-3+2)^2}\\D_3=\sqrt5\\D_3=2.2\\\)

D3 is approximately equivalent to 2 not exactly 2.

Thus, point C is approximately at 2 units from m.

Learn more about coordinates, here:

https://brainly.com/question/29092536

#SPJ6

The bench costs $375, and the garden table costs $295. Together, they amount to $670, with the table being $80 cheaper than the bench.

Let the cost of the bench be x. Then the cost of the garden table is x-80. The sum of the costs of both items is $670. So we have the equation: x + (x-80) = $670.

Simplifying this, we get 2x - 80 = $670  + 80 2x = $750  x = $375. So the cost of the bench is $375. The garden table costs $375 - $80 = $295. A garden table and a bench cost $670 combined.

The garden table costs $80 less than the bench. To find the cost of the bench, we can use algebraic equations. Let the cost of the bench be x. Then, the cost of the garden table is x - 80.

The sum of both costs is $670. Using this information, we can form an equation: x + (x - 80) = $670. Simplifying, we get 2x - 80 = $670 + 80. Solving for x, we get x = $375.

Therefore, the cost of the bench is $375, and the cost of the garden table is $295.

For more questions on algebraic equations

https://brainly.com/question/4344214

#SPJ8