what is the quotient of 84/0.729

Answer:

1.5

Step-by-step explanation:

we calculate the circumference of this circle.

circumference of a circle=2πr

data:

r=8 mm

circumference=2(8 mm)π=16π mm

2)we calculate the measure, in radians of the angle.

We know that:

circumference of a circle=2π radians

therefore:

16π mm=2π radians.

16 π mm--------------------------2π radians

12 mm-----------------------------  x

x=(12 mm  *  2π radians) / 16π mm=1.5 radians.

The sum of the geometric progression with the features stated in the text is given as follows:

S = 2.62 x 10^(43).

A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.

The nth term of a geometric sequence is given by:

[tex]a_n = a_1q^{n-1}[/tex]

In which [tex]a_1[/tex] is the first term.

The sum of a finite geometric sequence with n terms is given as follows:

[tex]S_n = \frac{a_1(1 - r^n)}{1 - r}[/tex]

In this problem, the first term and the common ratio are given as follows:

[tex]a_1 = 2, n = 3[/tex]

Hence the equation is:

[tex]a_n = 2(3)^{n - 1}[/tex]

The nth term is of 1458000, hence the number of terms of the sequence is obtained as follows:

[tex]a_n = 2(3)^{n - 1}[/tex]

[tex]1458000 = 2(3)^{n - 1}[/tex]

[tex]3^{n - 1} = 729000[/tex]

[tex]3^{n - 1} = 3^{90}[/tex]

Then:

n - 1 = 90

n = 91.

Thus the sum of the sequence is given as follows:

[tex]S_n = \frac{a_1(1 - r^n)}{1 - r}[/tex]

[tex]S_{91} = \frac{2(1 - 3^{91})}{1 - 3}[/tex]

S = 2.62 x 10^(43).

The problem is solvable with an nth term of 1,450,800, not 145,800, as 145,800/2 is not a root of 3.

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Answer:

thats correct

Step-by-step explanation:

Answer:

Step-by-step explanation:

12.5km

i made that up sorry

Answer:

7 cents:$0.45

Step-by-step explanation:

(whatever you do to one side you do the same to the other)

35 divided by 5= 7

2.25 divided by 5= 0.45

The minimum score needed to receive a grade of 'a' is 87.92

Given that,

At a nearby university, a professor noticed that her students' exam results were regularly distributed, with a mean of 73 and a standard deviation of 11. 8.75 percent of the professor's students achieved grades of A, she told us.

Mean = μ = 73

Standard deviation = σ =  11

Using the standard normal table,

⇒ P(Z > z) = 8.75%

⇒ 1 - P(Z < z) = 8.75%

= 1 - P(Z < z) = 0.0875

= P(Z < -1.36) =1- 0.0875

= P(Z < 1.3563) =0.9125

∴ Z = 1.3563                              ( Using standard normal z-table )

Using z-score formula ;

x= z * σ + μ

x=1.3563 * 11 + 73

x=87.92

So, the minimum score needed to receive a grade of 'a' is 87.92

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The inverse function for the function f(x) = (1 -2x) / 3x is 1/3x+2.

Inverse function:

Inverse function means a function that serves to “undo” another function.

For example,

if f(x) produces y, then putting y into the inverse of f produces the output x.

Given,

Here we have the function f(x) = (1 -2x) / 3x.

Now, we need to find the inverse function f⁻¹.

To find the inverse function, swap x and y, and solve the resulting equation for x.

If the initial function is not one-to-one, then there will be more than one inverse.

So, swap the variables by interchange the value of x by y and the value of y as x.

Then we get,

x = (1 - 2y)/3y

Now, solve the equation

x = (1 - 2y)/2y

for y, then we get,

y = 1/(3x + 2)

Therefore, the inverse function is 1/3x+2.

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Answer:

Use the formula to find distance

The expression is x - a = 8.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

Difference between two numbers is 8.

The lesser number is a.

let the another number be 'x'.

So, Difference between two numbers

x - a = 8

Hence, the expression is x - a = 8.

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The equation → x - 4/5 - x + 1/6 = 1/3 will have infinitely many solutions.

A equation in mathematics is a mathematical statement depicting that the values of two mathematical expressions are equal. Some examples representing equations are -

y = 5x + 4

2x + 3y = 5x + 8π

cos(ny) = sin(πx)

Given is the following equation -

x - 4/5 - x + 1/6 = 1/3

We have -

x - 4/5 - x + 1/6 = 1/3

x - x - 4/5 + 1/6 = 1/3

- 4/5 + 1/6 = 1/3

Now, [x] will cancel out for ever possible value of [x], therefore, it will have infinitely many solutions

Therefore, the equation → x - 4/5 - x + 1/6 = 1/3 will have infinitely many solutions

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Answer:

a = 4.52 km

Step-by-step explanation:

Formula we use,

→ (AC)² = (BC)² + (AB)²

Now the value of a will be,

→ (7.2)² = a² + (5.6)²

→ 51.84 = a² + 31.36

→ a² = 51.84 - 31.36

→ a = √20.48

→ [ a = 4.52 km ]

Hence, value of a is 4.52 km.

The probability of Sid takes at random counters from the bag is 24/55

The total number of counters = 11

Total number of green counters = 8

Total number of blue counters = 3

Probability = Number of favorable outcomes / Total number of outcomes

Total number of outcome = 55

Number of outcome that Sid will get both green = 28

Number of outcome that Sid will get both blue = 3

Number of favorable outcome = 55 - 28 - 3

= 24

Probability = Number of favorable outcomes / Total number of outcomes

= 24/55

Hence, the probability of Sid takes at random counters from the bag is 24/55

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Answer: 11 months

Step-by-step explanation:

You do this by 73 times 11 equals 803

Then 49 times 11 equals 539 then add on the registration fee and it equals to 779 which is less than 803

Answer: x = 25/6

Step-by-step explanation: yes

Answer: x=25/6

Step-by-step explanation:

combine multiplied terms into 1 fraction

5/2*+1/2x=9+7/2

5x/2+1/2x=9+7/2

combine

5x/2+1/2x=9+7/2

5x/2+1x/2=9+7/2

multiply by 1

5x/2+1x/2=9+7/2

5x/2+x/2=9+7/2

The x-intercept of the function represented on the graph is 3

The graph represents the given parameters

To determine the x-intercept of the graph, we set y = 0

This means that the x-intercept of the graph is the point, where the line of the graph crosses the x-axis

For the graph, we have

When y = 0, the function has a value of 3

This means that

x-intercept is 3

Hence, the x-intercept of the graph is 7

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Answer:

105 degrees

Step-by-step explanation:

Find angle F:

the sum of angles of triangle =180

62+43+y=180

105+y=180

y=75

straight line = 180 degrees

75+x=180

x=105 degrees

Answer:

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They bought  15 acres at $ 4000 per acre and  8 acres at  $6300 per acre

Let,

They bought x acres at $ 4000

and ( 23-x ) acres at $ 6300

From information,

By using algebra,

4000x + 6300(23-x) = 110,400

4000x - 6300x+ 144900 = 110,400

-2300x = 110,400-144900

- 2300x  = - 34500

x =34500 /2300

x = 15

x = 15

They bought 15 acres at $ 4000 per acre

(23 - 15 ) = 8 acres at  $6300 per acre

Hence, they purchased 8 acres for $6300 per acre and 15 acres for $4,000 each.

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The distance traveled with 3 gallons is 96 miles.

It is the quantity of an amount of something at a rate of one of another quantity.

In 2 hours, a man can walk for 6 miles

In 1 hour, a man will walk for 3 miles.

We have,

The distance traveled with 11 gallons = 352 miles

This means,

1 gallon = 352/11 miles

1 gallon =  32 miles

Now,

1 gallon =  32 miles

Multiply 3 on both sides.

3 gallons = 3 x 32 miles

3 gallons = 96 miles

Thus,

The distance traveled with 3 gallons is 96 miles.

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Answer:

x<3

Step-by-step explanation:

4x<5+7

4x < 12

4/4 x < 12/4

x < 3

Answer:

Hi! I'm pretty sure the question is: Two cities are 45 miles apart. Two trains, with speeds of 70 mph and 60 mph, leave the two towns at the same time so that one is catching up to the other. How long after the trains leave will they be 10 miles apart for the first time? How long after the trains leave will they be 10 miles apart for the second time?

I have had a similar question before, and I will answer yours. :)

Step-by-step explanation:

T1 - the time the trains are moving to each other.

For time T1, the first train will go the distance of 70*t.

The second train, for time t, will go the distance 60*t.

Both for time t1  - 70t+60(t1) =  (70+60)*(t1).

45 - (70+60)*t is the distance between trains that left after t hours.

For the first time, they will be 10 miles apart when they are moving into each other

45 - (70+60)*t = 10

45-10 = (70+60)*t

35 = 130*t

t=35/130 h =7/26 h = 0.27 h

The train meets when distance = 0

45 - (70+60)*t = 0

45 = 130t

t  =45/130 h = 9/26 h = 0.35 h when trains met.

Trains began to move apart from each other after 9/26 h moving,

After t2 time trains will be (70+60)*(t2) = 130*(t2) mi apart from each other.

130*(t2) =  10

t2 = 1/13h = 0.08h after they met, they are apart from each other 10 mi.

So after the beginning of the movement, it will be time when they met + time when they were moved  10 mi apart from each other

9/26 h+1/13h = 11/26 h = 0.42 h

The solution to the algebraic equation 8x - 8 = 4x is x = 2

Algebra: This is the system for computation using letters or other symbols to represent numbers, with rules for manipulating these symbols.

8x - 8 = 4x

8x - 4x = 8

4x = 8

x = 8/4

x = 2

Check:

8x - 8 = 4x

substitute x = 2 into the equation

8(2) - 8 = 4(2)

16 - 8 = 8

8 = 8

Other examples of algebraic equation

3x + 5 = 11

substract 5 from both sides

3x = 11 - 5

3x = 6

divide both sides by 3

x = 6/3

x = 2

Therefore, the value of x from the equation is given by 2

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The list of the members of the national education association is the Population.

Given, that a list of the members of the national education association is obtained and the questionnaire is mailed to 2500 teachers chosen at random from the list.

1347 teachers from those 2500 teachers return the questionnaire.

So, as we know that

A population is the group that you want to draw conclusions about.

Here, we want to know the opinions of American school teachers about establishing a national test.

So, The list of the members of the national education association is the Population.

Also, 1347 responses which we got is the sample.

Hence, The list of the members of the national education association is the Population.

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Answer:

Step-by-step explanation: watch the video

It is true that statistical output provides a means for creating a picot question.

The letters PICOT stand for patient, intervention, comparison, outcome, and (occasionally) time, which are the components of a clinical research question. A case scenario is used to frame the question in the PICOT process in order to elicit an answer. A PICOT question's main objective is uncomplicated: It is a mechanism for determining the keywords to use when looking for the strongest evidence to address a pressing clinical question. In other words, the search plan is the PICOT question. The search strategy produces an objective and successful search.

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a. The set in set builder form A = {x : x ∈ N}

b. the set in descriptive form, A = {set of natural numbers}

A set is a collection of well defined items.

Set builder form is a way of enumerating a set by using a set of rules which define its elements.

Descriptive form is a way of enumerating the elements of a set in words.

Since we have the set A = {1, 2, 3, 4, 5, …}, which is the set of natural numbers ,N, we identify each element of the set as x and give it a rule that x is an element of N. That is x ∈ N.

So, in set builder form A = {x : x ∈ N}

Since we have the set A = {1, 2, 3, 4, 5, …}, which is the set of natural numbers ,N.

In descriptive form, we write that A = {set of natural numbers}

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Answer:

121.5

Step-by-step explanation:

1.5 x 9 x 9 (the equation for volume (minus the 1/2 inch that Isaac's grandmother said to leave out) = 121.5

Answer: 1.01% sale tax.

Step-by-step explanation:

First you must take your tax price before and the tax price after and divide them. This gets you 1.01.

To be sure this is your answer you can multiply the 1.01% by 53 and it gives you 53.53$ (If you don't understand I suggest looking at a video from khan academy they explain things much better than I do.)

Hope that helped in some way :)