0.3596 is considered a rational number. What makes this number rational

The solution to all parts is shown below.

Simply dividing the total number of values in a data set by the sum of all of the values yields it. The calculation can be performed on unprocessed data or data that has been combined into a frequency table.

1. The value of 5 in 2875 is 5.

2. The product is 360

3. Additive inverse is -1

4. Mode = 4

9. Range = 96 - 12 = 84

10. 1/60

12. -3.45 x -1000 = 3450

13. Number of edges of the cylinder is 2.

14. Faces = 6

16. 3365 x 164 – 2365 x 164

= 164( 3365 - 2365)

= 1640

17. (a) 168.96 /8 = 21.12

(b) 505 ÷ 100 = 50.5

18. 15625 = [tex]5^6[/tex]

19. Mean = 45/5= 9

21. 778,500,000,000 m = 7.7785 x [tex]10^{11[/tex] m

22. length of the garden = 25.3 / 4.4 = 5.75 m

Learn more about Mean of Data here:

https://brainly.com/question/30891252

#SPJ5

The bounds of C is 635 - 644

The bounds of D is 415 - 424

The lower bounds of C + D can be found by adding 635 + 415, which is 1050

The upper bounds of C + D can be found by adding 644 + 424, which is 1068

So, the lower bounds of C + D is 1050 and the upper bounds is 1068

If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up. 

The upper bound is 1068 and the lower bound is 1050

The lower bound is the smallest value that would round up to the estimated value. The upper bound is the smallest value that would round up to the next estimated value.

Given here, c rounded to the nearest 10 is 640 and d rounded to the nearest 10 is 420. Then we have the minimum and maximum value as

Min C = 635 and Max C = 644 & Min D=415 and Max D = 424

Therefore the upper bound for c+d = 644+424

                                                           = 1068

    And the lower bound for c+d = 635+415

                                                      =1050

Hence The upper bound is 1068 and the lower bound is 1050

Learn more about lower and upper bound here:

https://brainly.com/question/22965427

#SPJ2

The value of the given expression that is log₄ 18 = 2.084

A logarithm operation can be rewritten as a fraction of logarithms with a new base using the change of base formula.

Example: logₐ b = (logₓ b) / logₓ a)

Therefore, log₄ 18 = (log₁₀ 18) / (log₁₀ 4).....eq(i)

We know, log₁₀ 4 = 0.602

We can write log₁₀ 18 as log₁₀(2x9).

Using the product rule of logarithms, log₁₀ 18 = log₁₀2 + log₁₀9log₁₀ 18 = 0.301 + 0.954log₁₀ 18 = 1.255

Substituting the value of log₁₀ 18 = 1.255 in eq(i) we get,

log₄ 18 = 1.255/0.602log₄ 18 = 2.084

The final answer to the question is log₄18 = 2.084 using the change of base formula.

Learn more about the change of base formula here https://brainly.com/question/23753980

#SPJ4

Answer:

team b by 1.1

Step-by-step explanation:

everything else was wrong when i did it

The two ways to generate fractions equivalent to a given fraction include:

A Multiply the numerator by a nonzero number or divide the denominator by a nonzero number.

B..Multiply or divide the numerator and denominator by the same nonzero number.

It should be noted that equivalent fractions simply means the fractions that are the same when reduced to their lowest terms.

It should be noted that multiplying the numerator by a nonzero number or divide the denominator by a nonzero number as.also.doung the same for the numerator and denominator by the same nonzero number will given an equivalent fraction.

Learn more about fractions on:

brainly.com/question/28726082

#SPJ1

Answer:

if your asking how to get 29 then here is how

Step-by-step explanation:

Evaluate

3x+16=5x−42

Move the variable to the left side

3x+16−5x=−42

Subtract the terms

−2x+16=−42

Move the constant to the right side

−2x=−42−16

Subtract the terms

−2x=−58

Divide both sides

2x divided by -2

-58 divided by 2

Solution

x=29

Answer:

x = - 4

Step-by-step explanation:

given a quadratic function in standard form

y = ax² + bx + c ( a ≠ 0 ) then the axis of symmetry is

x = - [tex]\frac{b}{2a}[/tex]

h(x) = 5x² + 40x + 64 ← is in standard form

with a = 5 , b = 40 , then axis of symmetry is

x = - [tex]\frac{40}{10}[/tex] = - 4

ln e³ = 3, by definition and properties of logarithm.

Now,

As seen by the definition of logarithms, [tex]log_b(a)=x[/tex]

In case of natural logarithm, b = e, i.e., [tex]log_e(a)[/tex] = ln (a) = x

In the question, ln (e)³, a = e

By property of logarithms, [tex]log_b(a^m) = m(log_b(a))[/tex] ,

=> 3 (ln (e)) = 3 [tex]log_e(e)[/tex]

Since, [tex]log_e(e)[/tex] = 1, ln (e)³ = 3 (1) = 3.

Hence, ln e³ = 3, by definition and properties of logarithm.

To learn more about logarithms, refer to the link: brainly.com/question/25710806

#SPJ4

The value of the expression (3.5^7/3.5^6)^2 is 12.25

The expression is given as

3.5 raised to the seventh power divided by 3.5 raised to the sixth power, all raised to the second power.

Rewrite properly as

(3.5^7/3.5^6)^2

Apply the law of indices

So, we have

(3.5^7/3.5^6)^2 = (3.5^7-6)^2

This gives

(3.5^7/3.5^6)^2 = (3.5)^2

Evaluate the exponent

(3.5^7/3.5^6)^2 = 12.25

Hence, the value of the expression (3.5^7/3.5^6)^2 is 12.25

Read more about expressions at:

https://brainly.com/question/723406

#SPJ1

If  Mr. Mady opens a savings account with principal P dollars that pays 2.11% interest compounded quarterly. His ending balance after one year algebraically is: A = P(1 + 0.0211/4)^4.

Given:

Rate= 2.11%

Now let express Mr Mady ending balance after one year algebraically by using this formula

A=P(1+r/n)^n

Where:

A = Future value

P=Principal

r= Rate

N=Number of period

Let plug in the formula

A = P(1 + 0.0411/4)^4

Therefore If  Mr. Mady opens a savings account with principal P dollars that pays 2.11% interest compounded quarterly. His ending balance after one year algebraically is: A = P(1 + 0.0211/4)^4.

Learn more about compound interest here:https://brainly.com/question/11404488

#SPJ1

Answer:

Step-by-step explanation:

mdcmmmm

The coordinates of the sequence of transformations is R' (3, -4), S' (3, -1) and T' (1, -4)

The complete question is added as an attachment

The coordinates of the triangle are given as

R = (-4, 1)

S = (-4, 4)

T = (-2, 1)

The sequence of transformations is given as

The rules of the above sequence of transformations are

When the above transformations are combined, we have

(x, y) = (-x - 1, y - 5)

So, we have

R' = (4 - 1, 1 - 5) = (3, -4)

S' = (4 - 1, 4 - 5) = (3, -1)

T = (2 - 1, 1 - 5) = (1, -4)

Hence, the image of the sequence of transformations is R' (3, -4), S' (3, -1) and T' (1, -4)

Read more about transformation at

https://brainly.com/question/27224272

#SPJ1

The actual area of the space for Joseph's new grill in square inches is 1280cm².

It should be noted that Joseph uses a scale of 2 cm for every 5 inches.

It should be noted that the drawing is 80inches by 100 inches.. Therefore, the original shape will be:

= 80 × 2/5 = 32

= 100 × 2/5 = 40

Therefore, the area will be:

= Length × Width

= 32 × 40

= 1280cm².

Learn more about area on:

brainly.com/question/25292087

#SPJ1

Jospwh has a drawing of 80 inches by 10 inches. After making several scale drawings,Joseph decides on the best placement for a new grill on his desks.He uses a scale of 2 cm for every 5 in. what is the actual area of the space for Joseph's new grill in square inches?

Answer:

The xxx-intercept is the point where a line crosses the xxx-axis, and the yyy-intercept is the point where a line crosses the yyy-axis.

Step-by-step explanation:

Values of x are 0, 6 + ✓48i/2 and 6 - ✓48i/2.

3 + [tex]{(4 - x)}^{3/2}[/tex]= 11

Subtracting 3 on both sides of the equation, we get

3 + [tex]{(4 - x)}^{3/2}[/tex]- 3 = 11  - 3

[tex]{(4 - x)}^{3/2}[/tex]  = 8

Squaring both the sides of the equation, we get

[tex] {(4 - x)^{3/2 \times 2} }[/tex] = 8²

(4 - x)³ = 64

Using the identity (a - b)³ = a³ + b³ + 3a²b - 3ab², we get

4³ + x³ + 3×4²x - 3×4×x² = 64

64 + x³ + 48x - 12x² = 64

x³ - 12x² + 48 = 0

Taking x common from the above equation, we get

x(x² - 12x + 48) = 0

x = 0 and x² - 12x + 48

Sovling the quadratic equation x² - 12x + 48, we get

x = -b+✓(b² - 4ac)/2a and  -b-✓(b² - 4ac)/2a

x =  -(-12)+✓((-12)² - 4(1)(48))/2(1) and -(-12)-✓((-12)² - 4(1)(48))/2(1)

x = 12+✓(144-192)/2 and 12-✓(144-192)/2

x = 12+✓-48/2 and  12-✓-48/2

x = 12+✓48i/2 and 12-✓48i/2

x = 6+✓48i/2 and 6-✓48i/2

Thus, the values of x are 0, 6+✓48i/2 and 6-✓48i/2

Know more about roots of equation -

brainly.com/question/13579767

#SPJ4

The person pay $9.13 for 5.5 pounds of bananas .

It is given that $1.66 per pound of bananas .

1 pound of banana cost = $1.66

5.5 pounds of banana cost will be [tex]=5.5\times1.66[/tex]

                                                         [tex]=\$9.13[/tex]

Learn more about unitary method here :

https://brainly.com/question/24587372

#SPJ9

Answer:

f(x) = 3x + 5

Step-by-step explanation:

Because if the y-intercept is increased by two units in the slope formula where b is the y-intercept, then the answer is 3x + 5.

According to the scale model, the bus has a real length of 252 inches (21 feet).

Scales are ratio between two lengths, scales are an useful resource to represent systems in affordable dimensions (i.e. The Empire State Building in a piece of paper). In this case, scales are defined by the following formula:

r = l' / l

Where:

If we know that r = 1 / 21 and l' = 12 in, then the real length of the bus is:

l = l' / r

l = 12 in / (1 / 21)

l = 252 in

To learn more on scales: https://brainly.com/question/22312172

#SPJ1

On the number line, if 'A' lies at 7 then 'B' could lie at -2, 16.

What is a number line?

A number line can be stretched in either direction indefinitely and is commonly displayed horizontally.

The numerals on the number line grow as one goes from left to right and drop as one moves from right to left.

Given, AB = 9 and 'A' lies at 7

So, basically 'B' can be at -2 on the number line which makes the distance between 'A' and 'B' 9 units. The same is possible for B at 16 on the number line.

To know more about number line, click on the link

https://brainly.com/question/24644930

#SPJ1

Answer:

y=x-3

Step-by-step explanation:

4x-5=7+4y

Subtract 7 from both sides.

4x-12=4y

Divide 4 from both sides.

x-3=y

y equals x minus 3.

y=x-3

Hope this helps!

Please mark as brainliest if correct!

Answer:

2 550

Step-by-step explanation:

Total no. of people who already have a decision, as a % =  45%+38% = 83%

No. of people who haven't decided yet, as a % = 100% - 83% = 17%

No. of people who haven't decided = 15 000 x 17/100 = 2 550

Nope, the domain is not centered at any point, let along that this is a linear function.

The domain and the range of a function is the set of input and output values of the function.

The domain is the set of all whole numbers.

The range is the set of all whole numbers.

Let the number of tickets be x, and the revenue be y.

So, the revenue function will be:

y = 125

The number of tickets cannot be less than 0.

So, the domain of the revenue function is

domain=0,∞

The above means that, the domain is the set of all whole numbers

Similarly, the revenue cannot be less than 0.

So, the range of the revenue function is

range = 0,∞

The above means that, the range is also the set of all whole numbers (in multiples of 125).

to know more about range and domain;

visit;brainly.com/question/28135761

#SPJ9

The number under a radical sign is called the Radicand .

Radicals : A no . of the form [tex]\sqrt[n]{x}[/tex] is called a radical , where x is the radicand and n is the index of the radical . Ex . of radicals [tex]\sqrt[3]{5}[/tex] , [tex]\sqrt{7}[/tex] , [tex]\sqrt[5]{3}[/tex] and so on .

It can be expressed in the form of rational exponent ( [tex]x^{1/n}[/tex] ) . This can be done by keeping the radicand as it is and raising the index to the power of exponent hence , it will be converted to rational exponent .

For ex . [tex]\sqrt{2}[/tex] = [tex]2^{1/2}[/tex] ,  [tex]\sqrt[3]{5}[/tex] = [tex]5^{1/3}[/tex] , [tex]\sqrt[5]{7}[/tex] = [tex]7^{5}[/tex] , and so on .

Hence , the number under a radical sign is called the Radicand .

To learn more on radicals :

https://brainly.com/question/21792967

#SPJ4

Since 8>3

[tex]f(8) = 7[/tex]

If  the hexagon is rotated counterclockwise about its center so that the vertex at O is moved to K. The amount of  degrees that the hexagon rotate is: 120°.

Let P represent the center point

First step is to calculate or to determine the central angle

Central angle=360°/6

Central angle=60°

Second step is to calculate the degree that hexagon rotate if it  rotate counterclockwise about its center

Hence,

∠KPO=2×60°

∠KPO=120°

Therefore If  the hexagon is rotated counterclockwise about its center so that the vertex at O is moved to K. The amount of  degrees that the hexagon rotate is: 120°.

Learn more about Hexagon rotation here:https://brainly.com/question/9071287

#SPJ1

The required value up to the nearest hundredth of change of base of the log function is given by1.39.

What is a logarithmic function?

A function which is the inverse of the exponential function is called a logarithmic function. It is depicted by writing a log before any number, variable or function. Log functions are strictly increasing functions in nature.

Calculation of the value of  log₇15  

We know that log₇15 can be written as log15 / log7, using the properties of the logarithmic function, log

Now, log₇15 = 1.1761 / 0.845

= 1.392

Hence, the required value up to the nearest hundredth is given by 1.39.

To learn more about the logarithmic functions, visit here:

https://brainly.com/question/215997

#SPJ4

The value of x if the value of the perimeter of the figure is equal to the value of the area is 1.5

Area of rectangle = perimeter of rectangle

Length × width = 2(length + width)

6 × 2x = 2(6 + 2x)

12x = 12 + 4x

12x - 4x = 12

8x = 12

x = 12 / 8

x = 1.5

So,

Width of the rectangle = 2x in

= 2(1.5)

= 3 in

Therefore, the length and width of the given rectangle is 6 in and 3 in respectively

Read more about rectangle:

https://brainly.com/question/13048427

#SPJ1

Answer:

in order from greatest to least, 9.7 times 10^5, 9/7, 7/9, 10^-5

Step-by-step explanation:

if you put them in a graphing calculator you'll get the answers. try desmos