what is 3/7*5/8=in simplest form

A linear recurrence relation is homogeneous if f(n) = 0. The order of the recurrence relation is determined by k. We say a recurrence relation is of order k if an = f(an−1,...,an−k).

Given: a)  an = 3an-1 + 4an-2 +5an-3

We note that the given recurrence relation is linear, because the right-hand side is a linear combination of previous terms. We note that the given recurrence relation is homogeneous, because the recurrence relation does not contain any constant terms. The degree of the recurrence relation is the largest value k for which are occurs in the recurrence relation.

k=3

Given: b) an = 2nan-1 + an-2

We note that the given recurrence relation is not linear, because the right-hand side is not a linear combination of previous terms (due to the

fact that 2n is not a constant). We note that the given recurrence relation is homogeneous, because the recurrence relation does not contain any constant terms.

Given: c) an = an-1 + an-4

Because the right-hand side is a linear combination of the prior terms, we observe that the provided recurrence relation is linear. Given that there are no constant terms in the recurrence relation, it is important to observe that it is homogenous. The biggest value k for which are k appears in the recurrence relation is the recurrence relation's degree.

Degree of linear homogeneous recurrence are k=3 .

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Answer:

A. \(\frac{24}{25}\)

Answer:

the awnser is d

Step-by-step explanation:

Answer:

I have completed the answers and attached them to the explanation.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The question asks for a subtraction expression:

length is always a positive number so bigger number first here.

OB = 4-(-1)              >only moves in x direction so subtract x's

AB = 4-(-2)             >only moves in y direction so subtract y's

Answer:

Step-by-step explanation:

18 * 10 - 8 * 4    (remember pemdas)

180 - 32 =

148 cm²

The measures of the angles are <1 = 85, <2 = 105, <3 = 85 and <4 = 105

The diagram that completes the question is added as an attachment

From the diagram, we have

<1 + <2 = 180 degrees --- supplementary angles

Given that

<2 - <1 = 30 degrees

Add the above equations

So, we have

2<2 = 210

Divide both sides by 2

<2 = 105

Substitute <2 = 105 in <2 - <1 = 30

So, we have

105 - <1 = 30

Evaluate

<1 = 85

Also, we have

<3 = <1

<4 = <2

This means that

<3 = 85

<4 = 105

Hence, the measures of the angles are <1 = 85, <2 = 105, <3 = 85 and <4 = 105

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Answer:

This is called the binomial square. It is stated as: the square of the difference of two binomials (two unlike terms) is the square of the first term plus the second term minus twice the product of the first and the second term.

Answer:

Multiplication, Division, Fractions, Decimals, Multipling Fractions, Divide Large Numbers

Step-by-step explanation:

Answer:

$6284.4≤μ≤$6313.6

Step-by-step explanation:

Using the formula for calculating confidence interval as shown:

CI = xbar ± Z×S/√n

xbar is the average premium

Z is the z-score at 95% confidence

S is the standard deviation

n is the sample size

Given parameters

xbar = $6600

Z score at 95% CI = 1.96

S = $800

n = 25

Substituting this parameters in the formula we have;

CI = 6600±1.96×800/√25

CI = 6600±(1.96×800/5)

CI = 6600±(1.96×160)

CI = 6600±313.6

CI = (6600-313.6, 6600+313.6)

CI = (6284.4, 6913.6)

Hence the 95% confidence interval for the mean premium amount paid by all workers who have employer provided health insurance is $6284.4≤μ≤$6313.6

Answer:

47.5

Step-by-step explanation:

38/80x100%=47.5

Answer:

47.5%

Step-by-step explanation:

Before we get started in the fraction to percentage conversion, let's go over some very quick fraction basics. Remember that a numerator is the number above the fraction line, and the denominator is the number below the fraction line. We'll use this later in the tutorial.

When we are using percentages, what we are really saying is that the percentage is a fraction of 100. "Percent" means per hundred, and so 50% is the same as saying 50/100 or 5/10 in fraction form.

So, since our denominator in 38/80 is 80, we could adjust the fraction to make the denominator 100. To do that, we divide 100 by the denominator:

100 ÷ 80 = 1.25

ow we can see that our fraction is 47.5/100, which means that 38/80 as a percentage is 47.5%.

We can also work this out in a simpler way by first converting the fraction 38/80 to a decimal. To do that, we simply divide the numerator by the denominator:

38/80 = 0.475

Once we have the answer to that division, we can multiply the answer by 100 to make it a percentage:

0.475 x 100 = 47.5%

And there you have it! Two different ways to convert 38/80 to a percentage. Both are pretty straightforward and easy to do, but I personally prefer the convert to decimal method as it takes less steps.

I've seen a lot of students get confused whenever a question comes up about converting a fraction to a percentage, but if you follow the steps laid out here it should be simple. That said, you may still need a calculator for more complicated fractions (and you can always use our calculator in the form below).

If you want to practice, grab yourself a pen, a pad, and a calculator and try to convert a few fractions to a percentage yourself.

Hopefully this tutorial has helped you to understand how to convert a fraction to a percentage. You can now go forth and convert fractions to percentages as much as your little heart desires!

Answer:

4140 pieces

Step-by-step explanation:

This is true because we would have to multiply the number of jigsaw puzzles and how many pieces each on of them had to see how many pieces they put together in all.

To set up the equation we would do 345 times 12,

if you calculate it, the answer would be 4140.

Hopes this helps, and good luck!! :)

Answer:

50 fish

Step-by-step explanation:

80% 40 fish :8

10% 5 fish x10

100% 50 fish

Answer:

x=61

Step-by-step explanation:

Multiply both sides by 5

1.8 *5 =9

add both sides by 3.2

3.2+9=12.2

Divide both sides by .2

x=61

X= 4 this solution is valid

X= 20 this solution is valid

Answer:

The mean is  \(\= x  = 79.7 \)

The standard deviation  \(\sigma =7.81\)

Step-by-step explanation:

From the question we are told that

  The data given is  

Temperature                Lower Limit           Upper Limit               Days

50-59                               50                             59                          2

60-69                                 60                            69                        313

70-79                                  70                           79                          1419

80-89                                   80                          89                         1503

90-99                                   90                          99                          319

100-109                                100                         109                         9        

Generally the average of each limit is evaluated as

Temperature    Lower Limit   Upper Limit         Average\((x_i)\)                    Days\((f_i)\)

50-59                 50                   59              ( 50 + 59 )/2 =54.5                 2

60-69                 60                   69              (60+69)/2 = 64.5                    313

70-79                 70                    79               (70+79)/2 =74.5                    1419

80-89                 80                   89                (80+89)/2 =84.5                  1503

90-99                 90                   99                 (90+99)/2 = 94.5                319

100-109             100                  109                 (100+109)/2 = 104.5            9  

Generally the mean is  evaluated as

     \(\mu  =  \frac{\sum x_i f_i}{\sum f_i}\)

=>  \(\mu  =  \frac{ (54.5 * 2) + (64.5 * 313) +\cdots +(104.5 *  9)}{2 + 313 +\cdots + 9}\)

=> \(\= x  = 79.7 \)

Generally the standard deviation  is  evaluated as

    \(\sigma = \sqrt{ \frac{\sum[ f_i * ( x_i^2 - \= x^2)] }{\sum f_i}}\)

=>   \(\sigma =\sqrt{ \frac{[2 * [(54.5)^2) - 79.7^2 ]]+[313 *[ (64.5)^2)-79.7^2] +\cdots +[9 *[ (104.5)^2)- 79.7^2]  }{2 + 313 +\cdots + 9}}\)

=>  \(\sigma =7.81\)

The mean and Standard deviation for the given data would be as follows:

μ \(= 79.7\)

б \(= 7.81\)

Given that,

Temperature       Lower Limit           Upper Limit             Days(\(f_{i}\))

50-59                       50                           59                          2

60-69                       60                           69                         313

70-79                         70                           79                          1419

80-89                        80                          89                          1503

90-99                        90                          99                           319

100-109                    100                         109                            9  

Average(\(x_{i}\))    

\(( 50 + 59 )/2 =54.5\)

\((60+69)/2 = 64.5\)

\((70+79)/2 =74.5\)

\((80+89)/2 =84.5\)

\((90+99)/2 = 94.5\)

\((100+109)/2 = 104.5\)

As we know,

Mean (μ) \(=\) ∑\((x_{i} f_{i}) /\)∑\(f_{i}\)

\(= [(54.5\) × \(2) + (64.5\) ×\(313)+....(104.5\)× \(9)]\)\(/(2 + 313 + 1419 + ....9)\)

∵ μ \(= 79.7\)

As we know,

Standard Deviation:-

\(\sigma={\sqrt {\frac {\sum(x_{i}-{\mu})^{2}}{f_{i} }}}\)

by putting the values, we get

∵ б \(= 7.81\)

Thus, μ \(= 79.7\) and б \(= 7.81\) are the correct answers.

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Answer:

The letter "x" is often used in algebra to mean an unknown value. It is often called a "variable".

Example:

In x + 5 = 12, x is a variable, but we can work out its value if we try!

The result = 2/ (x-4) is obtained by simplifying the provided equation (2/x)/(1-4/x)

Given,

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

Use the fractional rule :  \($\frac{\frac{a}{b}}{c}=\frac{a}{b \cdot c}$\)

\($=\frac{2}{x\left(1-\frac{4}{x}\right)}\)

Simplify  \($x\left(1-\frac{4}{x}\right): \quad x-4$\)

Then we get,

\($=\frac{2}{x-4}\)

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The amount of money that each person would get for the three days of work is $92.

The first step is to add all the money earned on the three days together. Addition is the process of determining the sum of two or more values.

Total amount earned in the 3 days = amount earned on the first day + amount earned on the second day + amount earned on the third day

= $93 + $75 +$108  =$276

The next step is to divide the total amount of money earned in the three days by the total number of people that would share the money. Division is the process of determining the quotient of a number.

The amount of money gotten by each person = total earnings / total number of people

$276 / 3 = $92

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Answer:

43

Step-by-step explanation:

Green:  9 - 2(-3) = 9 + 6 = 15

Red:  -2(-3) + 4 = 6 + 4 = 10

Dark blue:  7x + 5 = 19

7x = 19 - 5 = 14

x = 14/7 = 2

Light blue:  6x + 3 = 21

6x = 21 - 3 = 18

x = 18/6 = 3

Red(Lt blue) - Dk blue + Green = 10(3) - 2 + 15 = 43

Answer: We have f(x)=3x⁵+6x²-5 and g(x)= 2x⁴+7x²-x+16

                        (f-g)(x)= 3x⁵-2x⁴-x²+x-21

Step-by-step explanation:

Here we have,

Given : f(x)=3x⁵+6x²-5 and g(x)= 2x⁴+7x²-x+16

We know,

(f-g)(x)= f(x)-g(x)

= (3x⁵+6x²-5 ) - ( 2x⁴+7x²-x+16)

On subtracting g(x) from f(x) we get,

(f-g)(x)= (3x⁵+6x²-5  - 2x⁴-7x²+x-16)

On simplify,

 (f-g)(x) =3x⁵-2x⁴-x²+x-21

Hence,

(f-g)(x) = f(x) - g(x) = 3x⁵-2x⁴-x²+x-21

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Answer:

width= 14

Step-by-step explanation:

Play around with numbers, i used 4, then 6, then 5 for the length. 5 is correct, do 5*2=10+4=14; 14*2+5*2= 28+10= 38

Therefore, the width of the rectangle is 14.

Answer:

w = 5

l = 14

Step-by-step explanation:

We have to use system of equations here.

Let w be the width and l be the length

l=2w+4

w=l(1/2)-4

The equation is going to look like this

l+w+l+2 = 38

2l+2w = 38

Now, I will substitute l with what I said was equal to l above

2(2w+4)+2w = 38

Distribute:

4w+8+2w = 38

Combine like terms

6w+8=38

Same to both sides, subtract 8 on both sides

6w=30

Divide each side by 6

w=5

We know the width is 5, and now using the width, we can find the length, so we do 5*2+4 which is 14. Then we can plug that in:

2w+2l

2(5)+2(14)

10+28=38

Please let me know if you have any questions

Answer: the answer is try hard and if you don’t succeed try try again

Step-by-step explanation:

The equivalent expressions are given below;

a) x²+3x+5

b) x²-3x+5

c) 3x³+15x

d)  x²+5/3x

Given the following function

f(x)=x²+5 and;

g(x)=3x

a) (f + g)(x) = f(x) + g(x)

(f + g)(x) = x²+5 + 3x

(f + g)(x) = x²+3x+5

b)  (f - g)(x) = f(x) - g(x)

(f - g)(x) = x²+5 - 3x

(f - g)(x) = x²-3x+5

c) (f * g)(x) = f(x) * g(x)

(f * g)(x) = 3x(x²+5)

(f * g)(x) = 3x³+15x

d) (f/g)(x) = f(x)/g(x)

(f/g)(x) = x²+5/3x

This expressions gives the equivalent answer.

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Answer: 2,3,8

Step-by-step explanation:

if,

x+y+z=13

2x+5y+6z=67

5x-y=7

Solve [x+y+z=13 2x+5y+6z=67] to find: -3x+z=2 and keep

|

x+y+z=13

5x-y=7

6x+z=20 and -3x+z=2

z=8

x=2

y=3

Answer:

KL = 15

Step-by-step explanation:

Given that,

Point L is on the line segment KM.

We have, KM=5x+10, LM=4x, and KL=3x

ATQ,

KM = KL + LM

Putting all the values, we get :

5x+10=3x+4x

5x+10 = 7x

Taking like terms together

5x-7x=-10

-2x=-10

x=5

Put x = 5 in KL = 3x

KL = 3(5) = 15

So, the value of length KL is 15.

The new function after the transformation becomes as y = eˣ⁻⁷ + 5. The correct option is (d).

The graph of a function can be transformed by either shifting it in the right, left, up or down.

When the transformation is rightwards, the function becomes as f(x - a).

For left shifting it is  f(x + a).

And, for up and down shift it is a + f(x) and a - f(x) respectively.

Given that,

The graph of y = eˣ is translated 7 units to the right and 5 units upward.

According to the rule of transformation for a graph, when a function is shifted righwards, it becomes as f(x - a) and when it is shifted upwards it becomes a + f(x).

Apply the above mentioned rule for the given function to obtain,

y = eˣ⁻⁷ + 5

Hence, the function resulting after being shifted 7 units rightwards and 5 units upwards is y = eˣ⁻⁷ + 5.

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The numbers are 1 and 8.

We have,

Let's assume the lesser number as "x" and the greater number as "8x".

According to the given information, when the lesser number is subtracted from the greater, the result is 2 more than 5 times the lesser number:

8x - x = 5x + 2

Simplifying the expression:

7x = 5x + 2

Subtracting 5x from both sides:

2x = 2

Dividing both sides by 2:

x = 1

So, the lesser number is 1 and the greater number is 8 times that, which is 8.

Therefore,

The numbers are 1 and 8.

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