What is the value of 5 to the power of 4 over 5 to the power of 6? 1 over 25 1 over 5 5 25

Answer:

irrational

Step-by-step explanation:

rational - a number that can turn into a fraction (you could do this with a perfect square)

Irrational - a number that cannot be expressed as a fraction

The square root of 29 is an irrational number because it can not be expressed as a fraction.

To determine whether the square root of 29 is rational or irrational, we need to check if it can be expressed as a fraction (ratio) of two integers.

Assuming that the square root of 29 is rational, we can represent it as √29 = a/b, where a and b are integers with no common factors other than 1, and b is not equal to 0.

Squaring both sides of the equation (√29)² = (a/b², we get 29 = (a²)/(b²).

This implies that 29 is equal to the ratio of two integers (a²)/(b²), which means that 29 can be expressed as a fraction. However, this is not true because 29 is a prime number and cannot be written as a fraction of two integers.

Therefore, the square root of 29 cannot be expressed as a fraction and is therefore irrational.

Hence, the square root of 29 is an irrational number.

To learn more about irrational numbers;

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Answer: 5x - 2yz

Step-by-step explanation:

Answer:

(-1,5) and [tex](3, \frac{1}{125})[/tex] are points on the graph

Step-by-step explanation:

Given

[tex]g(x) = \frac{1}{5}^x[/tex]

Required

Determine which point in on the graph

To get which of point A to D is on the graph, we have to plug in their values in the given expression using the format; (x,g(x))

A. (-1,5)

x = -1

Substitute -1 for x in [tex]g(x) = \frac{1}{5}^x[/tex]

[tex]g(x) = \frac{1}{5}^{-1}[/tex]

Convert to index form

[tex]g(x) = 1/(\frac{1}{5})[/tex]

Change / to *

[tex]g(x) = 1*(\frac{5}{1})[/tex]

[tex]g(x) = 5[/tex]

This satisfies (-1,5)

Hence, (-1,5) is on the graph

B. (1,0)

x = 1

Substitute 1 for x

[tex]g(x) = \frac{1}{5}^x[/tex]

[tex]g(x) = \frac{1}{5}^1[/tex]

[tex]g(x) = \frac{1}{5}[/tex]

(1,0) is not on the graph because g(x) is not equal to 0

C. [tex](3, \frac{1}{125})[/tex]

x = 3

Substitute 3 for x

[tex]g(x) = \frac{1}{5}^x[/tex]

[tex]g(x) = \frac{1}{5}^3[/tex]

Apply law of indices

[tex]g(x) = \frac{1}{5} * \frac{1}{5} * \frac{1}{5}[/tex]

[tex]g(x) = \frac{1}{125}[/tex]

This satisfies [tex](3, \frac{1}{125})[/tex]

Hence, [tex](3, \frac{1}{125})[/tex] is on the graph

D.  [tex](-2, \frac{1}{25})[/tex]

x = -2

Substitute -2 for x

[tex]g(x) = \frac{1}{5}^x[/tex]

[tex]g(x) = \frac{1}{5}^{-2}[/tex]

Convert to index form

[tex]g(x) = 1/(\frac{1}{5}^2)[/tex]

[tex]g(x) = 1/(\frac{1}{5}*\frac{1}{5})[/tex]

[tex]g(x) = 1/(\frac{1}{25})[/tex]

Change / to *

[tex]g(x) = 1*(\frac{25}{1})[/tex]

[tex]g(x) = 25[/tex]

This does not satisfy  [tex](-2, \frac{1}{25})[/tex]

Hence, [tex](-2, \frac{1}{25})[/tex] is not on the graph

Answer:

The awnser is 64

Step-by-step explanation:

It is 64 because you devide the perimiter (32) by 4, to get all sides, and then multiply 1 side by the other to get 64

THIS METHOD ONLY WORKS FOR A SQUARE

Answer:

242,000 is the present value of the house.

Step-by-step explanation:

Answer:

242,000 represents the value of the house

Step-by-step explanation:

Answer:

Step-by-step explanation:

A =3x² + 4x + 1

B = 5x² - 3x + 8

C = 4x² - 7x - 3

B + C –A is

5x² - 3x + 8 + 4x² - 7x - 3 - ( 3x² + 4x + 1)

Expand and simplify

We have

5x² - 3x + 8 + 4x² - 7x - 3 - 3x² - 4x -1

Group like terms

5x² + 4x² - 3x² - 3x - 7x - 4x + 8 - 3 - 1

We have the final answer as

Hope this helps you

Answer:

(-2, 21) and (8, 8)

Step-by-step explanation:

Use the two coordinate pairs (-2, 21) and (8, 8).  As we go horizontally from the first to the second, the run (change in x) is 10 and the rise (change in y) is -13.  Thus, the slope of the line through (-2, 21) and (8, 8) is m = rise / run = -13/10.

The equation of this line follows y - k = m(x - h):

y - 8 = (-13/10)(x - 8)

Answer:

(-32,0)

Step-by-step explanation:

Answer:

P=2x +2y

2x=2y-p

As given that 2x=2(10)+88

x=108/2

x=54cm

May be it's help you;)

Answer:

The length of each of the two equally long sides is 26 cm

The length of the longer side is 36 cm

Step-by-step explanation:

Let the length of each of the two equal sides be represented by x

The other side = 10 + x

Perimeter of triangle (P) = sum of all sides of the triangle

88 = x + x + 10 + x

88 = 3x + 10

3x = 88 - 10

3x = 78

x = 78/3 = 26

Length of each of the two equally long sides (x) = 26 cm

Length of the longer side = 10 + x = 10 + 26 = 36 cm

Answer:

A.) P^2 - 10p + 24 = 0

B.) 6 or 4 dollars

Step-by-step explanation:

Given that a company’s weekly revenue, in thousands, is modeled by the equation

R = -p2 + 14p,

where p is the price of the product it makes. The company is considering hiring an outside source to distribute its products, which will cost the company 4p + 24 thousand dollars per week.

If the company want to break even, the cost of hiring distributors will be equal to the revenue per week.

Therefore,

-P^2 + 14p = 4p + 24

Collect the like terms

-P^2 + 14p - 4p - 24 = 0

-P^2 + 10p - 24 = 0

Multiply all by minus sign

P^2 - 10p + 24 = 0

B.) To find P, factorize the equation above.

P^2 - 10p + 24 = 0

- 6 x - 4 = 24 and - 6 - 4 = 10

P^2 - 4p - 6p + 24 = 0

P( p - 4 ) - 6( p - 4 )

P - 6 = 0 or p - 4 = 0

P = 6 or 4

Substitute both back into the equation to test their authenticates

When p = 6

6^2 - 10(6) + 24 = 0

When p = 4

4^2 - 10(4) + 24 = 0

Answer:

(x + 3.5 ) / (x - 4 )  = 20 / 8

8x + 28 = 20x -80

12x = 108

x = 9

Step-by-step explanation:

Answer:

Policy 2

Step-by-step explanation:

I just took the test and got it right

For question 7, the output from left to right is:

20, 30, 40,  50, 60

For question 9, the output from left to right is:

6, 12, 18, 24

Explanation:

Using the rule (10=d-b) we can just add 10 to the input.

The same thing results with #9. We just need to add 4 to the input so that in the end u(output)-g(input)=4.

Hope this helps!! <3

Answer:

Step-by-step explanation:

7. Rule: 10=d-b

20-10=10

30-10=20

40-10=30

50-10=40

60-10=50

9. Rule: u-g=4

6-2=4

12-4=8

18-4=14

24-4=20

HOPE THIS HELPS!!!!!:)

Answer:

70 years

Step-by-step explanation:

35 years before Christ and then another 35 years after:  35 + 35 = 70 years

Answer:

Hope the picture helps

Answer:

25 in ^2

Step-by-step explanation:

First find the area of the circle

A = pi r^2

A = 3.14 ( 4.3)^2

A =58.0586

The take the fraction of the circle that is shaded

A circle is 360 degrees

155/360

155 /360 * the  total area = area shaded

31/72 * 58.0586 = 24.99745278 in ^2

Rounding yields 25 in ^2

Answer:

25[tex]in^2[/tex]

Step-by-step explanation:

To find the area we need to use the expression [tex]\frac{x}{360}[/tex] · [tex]\pi r^2[/tex]

When you substitute and solve you should get 25[tex]in^2[/tex]

Answer:

235

Step-by-step explanation:

We have ED is 95.

We can find EC by 180-40 = 140

So DEC = 95+140=235

Answer:

236

Step-by-step explanation:

Answer: The correct answer is 3.6 miles

Step-by-step explanation:

Answer:

(a) P(t) = 12100*(1.04^t)

(b) in 2008, estimate of population is 16560 (to the nearest integer)

Step-by-step explanation:

Population in 2000, P(0) = 12100

Growth rate = 4% each year

(a) function model for the t year after 2000 (exponential model)

P(t) = 12100*(1.04^t)

(b) for 2008,

P(2008-2000)

= P(8)

= 12100*(1.04^8)

= 12100 * 1.368569

= 16559.7

= 16560  (nearest integer)

Answer:

[tex]\boxed{\angle RQS = 56 \ degrees}[/tex]

[tex]\boxed{\angle SRT = 56 \ degrees}[/tex]

Step-by-step explanation:

A) ∠QRS = 90 degrees (The angle of the triangle opposite to the diameter is always 90)

Given that QR = 68 degrees

So,

∠RSQ = [tex]\frac{1}{2} (QR)[/tex]

∠RSQ = 68/2

∠RSQ = 34 degrees

Now, Finding ∠RQS

∠RQS = 180-90-34

∠RQS = 56 degrees

B) ∠SRT = ∠QRS - ∠QRT

=> ∠QRS = 90 (Mentioned above) , ∠QRT = 56 (Given)

So,

∠SRT = 90-56

∠SRT = 34 degrees

Answer:

1/8

Step-by-step explanation:

Well there is a .5 chance you get each side so in order for them all to land on the same side you do .5^3 which is .125 or 1/8

Answer:

The correct answer is A. 600 square centimetres

Step-by-step explanation:

Let's recall that the formula of the surface area of a cube is:

A = 6s², where s  is the side length of the cube.

Replacing with the value we know, we have:

A = 6 * 10²

A = 6 * 100

A = 600 square centimetres

The correct answer is A. 600 square centimetres

Answer:

The correct option is x = 12

Step-by-step explanation:

An asymptote of a function is a line to to which the function converges to as it tends to infinity such that the function gets infinitesimally close to its asymptote but the function will not reach or cross its asymptote. That is the separating distance between the function and the asymptote tends to zero as either the x or y coordinates, or both the x and y coordinates tend to infinity.

A vertical aymptote, is one parallel to the y-axis and it is given by the value of the x-coordinate where it occurs

In the graph of the question, the vertical asymptote occurs at x = 12 and it is the line x = 12.

From the given graph, it can be said that the vertical asymptote will be formed at x=12. Option C is correct.

The given curve represents a function which is defined for all value fo x except 12.

The following information can be extracted from the graph of the function;

Based on the above conclusions, it can be said that the vertical asymptote will be formed at x=12. Option C is correct.

For more details, refer to the link:

https://brainly.com/question/23535769

A cdefghijklmnop

Step-by-step explanation:

Answer:

option a) multiply by 1/2

Step-by-step explanation:

2, 1 , 1/2 , 1/4 ....

Common ratio = 2nd term ÷ 1st term

                        = (1/2)÷ 1

                        = 1/2

Each term is obtained by multiplying by (1/2) with the previous term

Answer:

171 points.

Step-by-step explanation:

If five test scores have a mean of 90, all the scores added together will be 5 * 90 = 450.

The middle score is 91, so the other four scores added together will be 450 - 91 = 359.

The mode is higher than the median, so we can assume that the highest two numbers are the same: 94. 94 * 2 = 188. 359 - 188 = 171.

That means that the sum of the two lowest test scores is 171 points.

Hope this helps!

Answer:

The sum of the two lowest test scores is 171.

Step-by-step explanation:

We see that there are 5 test scores, so the median ( middle score ) was not taken to be the average of the two middle scores. It is an element present in the set of five test scores. The mode of course has to be present in the set, but multiple times. If we can figure out how many times this mode is present in the set, it would help us.

As 91 is the middle value, there has to be two above 91. Therefore, as 94 appears the most frequent, is must appear twice.

Now another key thing we need here is the sum of all 5 numbers. Given a mean of 90, 90 [tex]*[/tex] 5 = the sum of all 5 numbers = 450. Therefore, the sum of the two lowest test scores should be = 450 - 94 - 94 - 91 = 171 - which is our solution.

Answer:

112

Step-by-step explanation:

Answer:

112

Step-by-step explanation:

7² = 7 * 7 = 49    

4² = 4 * 4 = 16

7² + 3(4² + 3 + 2) = 49 + 3(16 + 3 + 2)

                           = 49  + 3 * 21

                           = 49 + 63

                           = 112

Answer:

Bob makes 15 dollars an hour mowing lawns.

The graph would be a straight line with a slope of 15.

Step-by-step explanation:

The Constant of Proportionality is y=kx, where k is the constant.  A real world example would be:

Bob makes 15 dollars an hour mowing lawns.  (y=15x)

The graph would be a straight line with a slope of 15.

Answer:

Step-by-step explanation:

Displacement vector R = 2i + j +  3k

Unit vector along displacement vector

= R / I R I

= ( 2i + j +  3k )  / √ ( 2² + 1² + 3² )

= ( 2i + j +  3k )  / √ 14

Now force F acts in the direction of this unit vector . It is magnitude of 20 N

So this vector can be represented by the following expression

F = 20 [  ( 2i + j +  3k )  / √ 14 ]

[tex]F= \frac{20}{\sqrt{14} } \times ( 2i+j+3k)[/tex]

Answer:

The distance Ted will run in 285 minutes is 60 km

Step-by-step explanation:

The information in the question states as follows;

The distance Ted can run in 95 minutes = 20 km

Therefore, from the equation of speed, we have;

Speed = Distance covered ÷ Time taken

Ted speed, s = 20 km/(95 minutes) = 4/19 = 0.21 km/minute

Therefore, the distance, d Ted will cover in 285 minutes is given as follows;

d = Speed × Time = 0.21 km/minute × 285 minutes = 60 kilometres

The distance Ted will run in 285 minutes = 60 kilometres.

Answer:

285km=60

Step-by-step explanation:

================================================

Work Shown:

A = area of larger rectangle

A = length*width = 9*15 = 135 square feet

B = area of smaller rectangle

B = length*width = 7*4 = 28 square feet

C = area of shaded region

C = difference in areas of A and B

C = A - B = 135 - 28 = 107 square feet

Hey there! I'm happy to help!

PART A

When we say words, we don't really mean words. We just mean how many different ways we can arrange the letters. We could make a word like Hiskasw and that would work.

We have six different letters: w, h, i, s, k, and a. We have two s's and this will be very important when finding these permutations.

The first thing we do is take the number of letters and find its factorial. In this case, it is seven, so we have 7×6×5×4×3×2×1=5040.

But, this is not how many combinations there are, because we have two s's, and since they are the same many of our combinations are actually identical, but the s's are just switched. So, we take the number of s's (2) and we factorial it, which just still equals two, and then we divide our first factorial by that.

5040/2=2520

There are 2520 ways you can arrange the word WHISKAS.

PART B

Let's think of the seven letter slots in the word. It doesn't matter where you place one of the S's, but a slot next to the first S you place only has one choice of letter, which is another S to make it adjacent. This means that one  specific slot is required to have an S. If we start off filling in our required one with an S, we have six letters left to fill in our other slots, which will give us a result of 6!, which is 720 seven-letter words.

PART C

Now, we have to have A be the first term and H be the last. If we think of the seven letter slots, we have only one choice on the first one, which is A, and only one choice on the last one, which is H. This leaves us with 5! or 120 possibilities, but we also have to divide by two because we have two S's, so there are 60 seven-letter words you can make if the words must begin with A and end with H.

Have a wonderful day!