how do you solve the equation 3(9/4 + 1/4y)-5y=11

The statement lim infn sₙ > lim infn tₙ and lim sup sₙ ≤ lim sup tₙ is proved such that sₙ ≤ tₙ for all n≥n₀.

The biggest element in P, if one exists, that is less than or equal to each element of S is known as the infimum of a subset S of a partially ordered set P. As a result, the phrase largest lower bound is also frequently employed. A set's infimum is its highest upper bound, while its supremum is its lowest upper bound. The supremum is the smallest upper bound of a set, whereas the maximum is the largest member of a set. The largest number in one column that is less than or equal to the target value in the other column is found using the greatest lower bound (glb) operator. The smallest number that is larger than or equal to the target number is discovered using the least upper bound (lub) operator.

Let us suppose that sₙ ≤ tₙ if n≥N, but that

lim infn sₙ > lim infn tₙ.

Let [tex]E_{s}[/tex] denote the set of all subsequential limits of {sₙ}, and let [tex]E_{t}[/tex] denote the set of all subsequential limits of {tₙ}. Then

inf [tex]E_{s}[/tex] >inf [tex]E_{t}[/tex].

This implies that there exists some x∈[tex]E_{t}[/tex] such that inf [tex]E_{s}[/tex] >x>inf [tex]E_{t}[/tex]., since otherwise inf [tex]E_{t}[/tex]. would not be the greatest lower bound of [tex]E_{t}[/tex]. Hence some subsequence of {tₙ}, say {tₙ}, converges to x< inf [tex]E_{s}[/tex].

lim sup sₙ ≤ lim sup tₙ.

Let [tex]E_{s}[/tex] denote the set of all subsequential limits of {sₙ}, and let [tex]E_{t}[/tex] denote the set of all subsequential limits of {tₙ}. Then

sup [tex]E_{s}[/tex] ≤ sup [tex]E_{t}[/tex].

This implies that there exists some x∈[tex]E_{t}[/tex] such that sup [tex]E_{s}[/tex] ≤ x ≤ sup [tex]E_{t}[/tex]., since otherwise sup [tex]E_{t}[/tex]. would be the greatest lower bound of [tex]E_{t}[/tex]. Hence some subsequence of {tₙ}, say {tₙ}, converges to x< sup [tex]E_{s}[/tex].

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Answer:

write an expression to repersent the number of seconds since that hare began the race in terms of the number of seconds x since the tortise started the race

Step-by-step explanation:

Answer:

Step-by-step explanation:

Option (b), “a continuum of possible values” is the correct option.

The concepts of continuous probability distribution and normal distribution are used here to solve this problem.

The continuous probability distribution can be defined as the probability distribution of a continuous random variable. Normal distribution is used for finding the probability of a continuous variable when the data is more or less symmetric. The probability of being less than or more than some value can be calculated by calculating the area of the curve to the left of that value.

The probability of a continuous random variable will assume a particular value is zero. Consider a continuous random variable, which follows normal distribution with a mean,  and a standard deviation, which can be represented as to calculate the probability for a random variable, convert the variable into a standard normal variable by the transformation:

Option (a), “an array of individual values” is incorrect because the continuous probability distribution does not contain an array of individual values. Option (c), “a list of possible values” is incorrect because it is not just a list of possible values. Option (d), “counts” is incorrect because the counts is not a characterized by the continuous probability.

False

Probability can be defined as the likelihood or chance of an event occuring. Probability is a branch of Mathematics that deals with the calculation on the chances of happening of a particular event.

For instance, the probability that a student will pass an exam is 1/2.

The students has a total of two possible outcomes, pass or fail.So, the probability of one outcome = 1/total outcome which is 1/2

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50 is  the total number of fruits Mrs Chandra bought in ratio .

What does a math ratio mean?

a total of $150 for all the fruits.

ratio of apple and pears  = 3: 2

ratio of pears and mangoes  = 1 : 5

5 units = 50

11 units = 110

15 units = $150

3 units = $30

number of apple = $30  ÷ $0.60 = 50

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If the snacks are to be identical without any food left over only one snack bags can  be made by Angela

The number of granola bars = 28

The number of pieces of dried fruit = 45

If the snack bags should be identical without any food left over, then we need to find out  the greatest number of snack bags, we should find out the Greatest common factor(GCF) or highest common factor(HCF) between 28  granola bars and 45 packages of string cheese

Since , factors of 28 = 1, 2, 4,7,14,28

Factors of 45 = 1, 3,5,9,15,45

Common factors of 28 and 45 = 1

Greatest Common factors of 28 and 45 = 1

Hence, the greatest common factor of 28 and 45 is 1 as only 1 is the common factor in the factors of 28 and the factors of 45.

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The nominal interest rate to plug in will be 0.085.

What is interest rate?

Given to us, the nominal rate is 8.5%,

The value to plug into your equation,

The equation can be simple interest or compound interest in both cases the value of the nominal rate to the plugin will be the same.

Thus, the nominal rate is 8.5% can be written as

Nominal rate = 8.5%

                     = 85/100 = 0.085

Hence, the nominal rate to plug in will be 0.085.

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The expression (2⁷ · 3⁻⁵ · 9)⁴ is equivalent to the power expression 2²⁸ / 3¹² = 505.109.

In this problem we find an expression involving several numbers in power form and we must simplify into a single real number by using algebra properties:

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Answer:

Step-by-step explanation:  16. | 2x - 8| = 6

                                                    | 2x -8| = 6

                                                           +8    +8

                                                        ____________

                                                          2x = 14 divide by 2

                                                          x = 7 ,  16 will macth section a

          Second equation :     19. | 8 - x | = 2

                                                      -8         -8

                                                _____________

                                                       x=-6 , section c

Answer: y=3x+1

Step-by-step explanation:

Slope formula: m=(y2-y1)/(x2-x1)

m=(-5-(-2))/(-2-(-1))

m=(-5+2)/(-2+1)

m=(-3)/(-1)

m=3/1

m=3

y=mx+b

-2=3(-1)+b

-2=-3+b

b=1

y=3x+1

Answer:

(

Step-by-step explanation:

(135+115+x)/3=125.

250+x=375

x=125.

thus third score must be 125

Final answer:

The statement that the median net worth of families headed by a person thirty-five to forty years old was 30 percent is a true statement.

In statistics, the median is the value that, when placed in order, falls in the middle of the supplied collection of data. Either ascending or descending order can be used to organize the data or observations. The median of 2,3,4, for instance, is 3. The median is a type of average used to determine the middle value in mathematics. The median is the value that falls in the middle when a group of values are arranged from smallest to greatest. The value that appears the most frequently in the set is the mode. In cases where the distribution is skewed or contains outliers, the median is the most illuminating indicator of central tendency.

Explanation:

The net-worth of families have a drastic change when compared to previous years as the economy has developed and while comparing the net-worth of income between years, the median method is useful in all ways and so the median net worth of families headed by a person thirty-five to forty years old was 30 percent less in 2010 than it was for their counterparts in 1983 is proved to be true.

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To provide a baseline against which they can evaluate the effects of a specific treatment, experimenters make use of a(n) Control condition (Option D).

Now,

Hence, to provide a baseline against which they can evaluate the effects of a specific treatment, experimenters make use of a(n) Control condition (Option D).

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The number of gasolines is 1,800,000 miles driven.

­Gas is known as an aliphatic hydrocarbon. All in all, gas comprised of particles made out of nothing, yet hydrogen and carbon organized in chains. Fuel particles have from seven to 11 carbons in each chain. Gas or petroleum is a straightforward, oil determined combustible fluid that is utilized principally as a fuel in most flash touched off gas powered motors. Fuel is as of now thought to be frozen in the event that it transforms into a thick slop or wax. To absolutely keep away from frozen gas inside the vehicle, center around forestalling the fuel line from freezing during winter. Fuel fumes are heavier than air, so they choose the ground and travel like a fluid. Along these lines, they frequently track down their direction into channels, storm cellars, and sewer lines.

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the minimum possible number of rows of zeros in any row echelon form is 2

If a matrix in linear algebra has the structure that comes from a Gaussian elimination, it is said to be in echelon form. The bottom row has solely zeros, as do all other rows. A nonzero row's pivot, also known as the leading coefficient, is always located strictly to the right of the leading coefficient of the row above it.

The row echelon form of 5 × 3 matrix is given by -

                                        [tex]\left[\begin{array}{ccc}1&a&b\\0&1&d\\0&0&1\\0&0&0\\0&0&0\end{array}\right][/tex]

As we can see, the number of rows containing zeros are 2.

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Answer:

5 days

Step-by-step explanation:

as the photo saying

Rewriting 15 1/6 as a decimal, rounded to the nearest thousandths, is: 1,516.667.

To rewrite the percentage, 15 1/6% as a decimal do the following as shown below:

Convert 15 1/6 from mixed number to an improper fraction:

91/6

Multiply 91/6 by 100:

91/6 × 100

= 9,100/6

Divide

9,100/6 = 1,516.667

Thus, rewriting 15 1/6 as a decimal, rounded to the nearest thousandths, is: 1,516.667.

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The expressions that have numeric value of less than 2 when x = 5 are:

A. x to the power of zero divided by 4.

C. (50 divided by x to the power of 2) to the power of zero

E. x to the power of zero divided by x to the power of 2

To find the numeric value of a function, we replace each instance of the variable by the desired value.

For item a, the expression is:

x^0/4 = 1/4 < 2.

For item b, the expression is:

x/(7^0) = x.

When x = 5, the expression has a numeric value of 5 > 2.

For item c, the expression is:

(50/x^2)^0 = 1 < 2.

For item d, the expression is:

2(10/x)^0 = 2 x 1 = 2 = 2.

For item e, the expression is:

x^0/x^2 = 1/x^2.

When x = 5, the expression has a numeric value of 1/25 < 2.

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Answer:    58,60,62

Step-by-step explanation:

1. find the numbers; since our middle term is 2n, our other two terms are 2n-2 and 2n+2.

2.Write the equation for the problem.

Therefore, the three consecutive integers are 58,60,62

The expression uses the greatest common factor and the distributive property to rewrite the sum 75+45 is 15(5+3)

The greatest common factor is the greatest factor that divides both numbers.

The distributive Property States that when a factor is multiplied by the sum/addition of two terms, it is essential to multiply each of the two numbers by the factor, and finally perform the addition operation

Given,

75=3×5×5

45=3×3×5

The greatest common factor = 3×5=15

Then,

(75+45)=15(5+3)

Hence, the expression uses the greatest common factor and the distributive property to rewrite the sum 75+45 is 15(5+3)

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Answer: x = 20

Step-by-step explanation:

step 1: Multiply all terms by the same value to eliminate fraction denominators
3/x+4 = 2/x-4
(x-4)(x+4)*3/x+4 = (x-4)(x+4)*2/x-4
step 2: Cancel multiplied terms that are in the denominator
(x-4)(x+4) * 3/x+4 = (x-4)(x+4) *2/x-4
(x-4) *3 =(x+4) *2
step 3: Re-order terms so constants are on the left
(x-4) *3 = (x+4) *2
3(x-4) = 2(x+4)
Step 4: Distribute
step 5: Add 12 on both sides
3x - 12 = 2x + 8
    +12          +12
step 6: Subtract 2x both sides
3x = 2x + 20
-2x  -2x
step 7: Divide both side
1x/1 = 20/1
x = 20

Answer:

85

Step-by-step explanation:

To find the mean, you have to add all the scores up and divide it by how many scores there are. In this case, there are seven scores, so we first add them up.

70+75+80+85+90+95+100=595

Now, we divide 595 by 7.

595/7=85

Hope this helps!

Have a wonderful day! :D

Answer: It is 5.3 based by rounding by it's tenth

Step-by-step explanation:

1. Add it all, in this case (3*2) + (7*2) + (8*2) + 1 which equals to 6 + 14 + 16 + 1

2. This then becomes 20 +17, which is 37, which we then divide by 7 becomes 5.285, or 5.3

Answer: -1

Step-by-step explanation:

Multiply -3 to (1+6r)

-3 - 18r = 14 - r

Then, group like terms and change the signs

-18r + r = 14 + 3

Add

-17r = 17

Divide 17 by 17 to solve for r

r = 17/-17

r = -1

We need to know about distance between two points to solve the problem. The distance between each pair of points are: 13. 8, 14. 6.40,  15. 5,  16. 5.83 , 17. 7 , 18. 7

The distance between two points is the length of the line that will join these two points. The distance can be calculated by taking the square of the difference of the x-coordinates and y-coordinates of the two points, adding them up and taking their square root. In order to understand the formula we have to draw a right angled triangle using these two points, where the line joining the points is the hypotenuse, the difference in the x-coordinates is the base and the difference between the y-coordinates is the height. We use Pythagoras' theorem to find the hypotenuse which gives us the formula of distance between two points

d=[tex]\sqrt{(x-a)^{2} +(y-b)^{2} }[/tex] where (x,y) and (a,b) are the two points

13. (-3,-1) (5,-1)

d=[tex]\sqrt{(-3-5)^{2}+(-1+1)^{2} } =\sqrt{64} =8[/tex]

14. (-4,-3), (1, 1)

d=[tex]\sqrt{(-4-1)^{2}+(-3-1)^{2} } =\sqrt{25+16} =\sqrt{41} =6.40[/tex]

15.(0, 0), (3, 4)

d=[tex]\sqrt{(0-3)^{2}+(0-4)^{2} } =\sqrt{9+16} =\sqrt{25} =5[/tex]

16. (-1,2) ,(2,-3)

d=[tex]\sqrt{(-1-2)^{2}+(2+3)^{2} } =\sqrt{9+25} =\sqrt{34} =5.83[/tex]

17.(-2,0) , (5,0)

d=[tex]\sqrt{(-2-5)^{2}+(0-0)^{2} } =\sqrt{49} =7[/tex]

18.(0,-8), (0,-1)

d=[tex]\sqrt{(0-0)^{2}+(-8+1)^{2} } =\sqrt{49} =7[/tex]

Therefore we found the distance between each pair of points using the formula to find distance between two points, 13) 8, (14) 6.40, (15) 5, (16) 5.83, (17) 7, (18) 7

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Answer:

- 1 and 74

Step-by-step explanation:

a

substitute d = - 1 into the expression

4d + 3

= 4(- 1) + 3

= - 4 + 3

= - 1

b

substitute x = 7 and y = 5 into the expression

x² + y²

= 7² + 5²

= 49 + 25

= 74

The length of a side of cube is 4.56 Inches whose surface area is 125 square inches .

It is given that surface area of a cube is 125 square inches

Putting area = 125 in equation (1) , we get

[tex]125=6a^2\\a^2=20.33\\a=4.56 \ in[/tex]

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Answer:

Step-by-step explanation:

you will do 5+49 if u gain something u are adding the answer would be 98

Answer:

Step-by-step explanation:

C

Hey there!

b(9 - c) / a^2

= 6(9 - 8) / 4^2

= 6(1) / 4^2

= 6/4 * 4

= 6/16

= 6 ÷ 2 / 16 ÷ 2

= 3/8

Therefore, your answer should be:

3/8

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)