Find all points on the x-axis that are 14 units from the point (6,-7) All points on the x-axis that are 14 units from the point (6, -7) are Simplify your answer. Type an ordered pair. Use a comma to separate answers as needed.)

Answer:

86

Step-by-step explanation:

33+61=94

180-94=86

The value of antiderivative F will be;

⇒ F = 4x - 3 arc tan x - 7 + 3π/4

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The function is,

⇒ f (x) = 4 - 3 (1 + x²)⁻¹

Now,

Since, The function is,

⇒ f (x) = 4 - 3 (1 + x²)⁻¹

Hence, The antiderivative F of f (x) is,

⇒ F = ∫ (4 - 3 (1 + x²)⁻¹ ) dx

⇒ F = ∫ 4 dx - 3 ∫ (1 + x²)⁻¹ dx

⇒ F = 4x - 3 arc tan x + c

Where, c is constant of integration.

Here, The antiderivative of f (x) is satisfy F(1) = - 3,

So, Substitute x = 1, F = - 3

⇒ F = 4x - 3 arc tan x + c

⇒ - 3 = 4×1 - 3 arctan (1) + c

⇒ - 3 = 4 - 3π/4 + c

⇒ - 3 - 4 + 3π/4 = c

⇒ c = - 7 + 3π/4

Thus, The antiderivative F of f (x) is,

⇒ F = 4x - 3 arc tan x - 7 + 3π/4

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Answer:

8

Step-by-step explanation:

Applying the PEDMAS rule, the expression 80÷4−2(2+1)² would be simplified as: 80÷4−2(2+1)² = 2.

The PEDMAS rule guides the order of operation when solving a math problem with several operations.

P - parenthesis, E - exponent, D - division, M - multiplication, A - addition, S - subtraction.

To simplify 80÷4−2(2+1)², apply PEDMAS rule:

Solve parenthesis

80÷4−2(3)²

Solve exponent

80÷4−2(9)

Divide

20 −2(9)

Multiply

20 − 18

Subtract

= 2

Therefore, 80÷4−2(2+1)² = 2

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Answer: 2

Step-by-step explanation:

this is the answer knewton alta said

The Cardinal number of the set of all solutions to x²=100 is 2.

A number system is defined as a system of writing to express numbers.

Cardinal numbers are natural numbers or positive integers. The smallest cardinal number is 1.

We have to find the Cardinal number of the set of all solutions to  x²=100

To find the solution of the equation we have to take square root on both the sides' x=10, -10

The set of solutions will be {-10, 10}

It has two terms. Hence cardinal number is 2.

Hence, the Cardinal number of the set of all solutions to x²=100 is 2.

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Answer:

it would be 144 miles

Step-by-step explanation:

We start by a ratio of map to mile =      2:18

if we see that the map distance is 16,   16:?

We divide 16 by 2 to get 8, so we enlarge the 2, 8 times, and we get 16

the 18, also has to be enlarged, so 18x8 = 144

Answer:

1.4

Step-by-step explanation:

Sample size: 3

Lowest value: 2.89

Highest value: 4.29

Range: 1.4

formula for calculating the range:

Range = maximum(x_i) - minimum(x_i)

where x_i represents the set of values.

Answer:

50 if you're asking for dividing

Step-by-step explanation:

if you're dividing then it's 50 hopefully this is the answer your asking

Answer:

2.5

Step-by-step explanation:

x=8 x=4

y=5 y=2.5

is ratio problem

If y varies directly with x and y = 5 when x= 8 . then the value of y when x = 4 is 2.5

Let there are two variables p and q

Then, p and q are said to be directly proportional to each other if

p = kq

where k is some constant number called constant of proportionality.

If y varies directly with x and y = 5 when x= 8 . then we need to find y when x = 4

Therefore, y = kx

k = y/x

k = 5/8

Then y = kx

y = (5/8)4

y = 5/2

y = 2.5

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Answer:

Step-by-step explanation:

10% of $100 per month is $10 per month.

1. By saving $10 per month on insurance cost, Dan's savings after 4.5 months will be equal to the $45 cost of his course. (If billing is monthly, he won't experience any net gain from the course until the 5th insurance payment--after 5 months.)

__

2. In 7 years, the savings on insurance costs will total ...

  (7 years)×(12 months/year)×($10 /month) = $840

His cost for the course is $45, so his net saving is ...

  $840 -45 = $795 . . . net saving by age 25

Answer:

6=8x

Step-by-step explanation:

Answer:

6+8x

Step-by-step explanation

We are going to make sure we can do this as best as possible. We need to make sure that the words that you are reading are making sense.

Sum can be taken out because its just 6. We do not know what adds to 6, it could be 1 +5,  2+4, 3+3, -3 and 9, WE DO NOT KNOW. So don't put extra information into the expression, when it is not given.

The and would be an addition to something, because when we are speaking and say the word AND, we want to add to that sentence. So, and is the plus sign.

6+

Then product is multiplication. So 8 times x.

Put it all together and you get the expression:

6+8x

I really hoped that helped you!

[tex]4i[/tex]

[tex]i=\sqrt{-1}[/tex]

[tex]\sqrt{-16}=\sqrt{-1}*4[/tex]

[tex]\sqrt{-16}=i*4[/tex]

[tex]4i[/tex]

Hope this helps.

頑張って!

Answer:

Coplanar points

Step-by-step explanation:

Coplanar points are three or more points that lie in the same plane.

Given :

Length of parade , [tex]L = 3\ miles=3\times 5280\ miles = 15840\ miles[/tex] .

Breadth of parade , [tex]B=2\times 15=30\ ft[/tex] .

5 people can fit into a [tex]25\ ft^2[/tex] area.

1 mile = 5280 ft .

To Find :

The size of the crowd.

Solution :

Area of parade ,

[tex]A=15840\times 30\ ft^2\\\\A=475200\ ft^2[/tex]

Also , 5 people can fit in [tex]25\ ft^2[/tex] area .

So , number of people fit in A is :

[tex]n = \dfrac{475200\times 5}{25}\\\\n=95040[/tex]

Therefore , 95040 can fit in the parade .

Hence , this the required solution .

Hey there! I'm happy to help!

Let's call our number n.

The word sum means to add.

Therefore....

n+5

Have a wonderful day! :D

Answer:

7x+11 =  6y

(7x+11)/6 = y

7x/6= y-11

There are multiple answers for this

Step-by-step explanation:

Answer:

w = pt

Step-by-step explanation:

[tex]p=\frac{w}{t}\\\\p*t=\frac{w}{t}*t\\\\pt=w\\\\\boxed{w=pt;t\neq 0}[/tex]

Hope this helps.

Answer:

one hundred forty-five thousand nine hundred seventy-three

hope this helps!

Answer:

C. The focus is at [tex](-2,-2 \frac{1}{2})[/tex] and the directrix is at [tex]y = -3\frac{1}2.[/tex]

Step-by-step explanation:

First of all, let us learn about the formula to find Focus and Directrix from the standard equation of a parabola.

Standard form of a parabola is given as:

[tex](x - h)^2 = 4p (y - k)[/tex]

where the focus is [tex](h, k + p)[/tex] and

the directrix is [tex]y = k - p[/tex]

Now, we are given the equation of parabola as:

[tex]y= \dfrac{1}2 (x+2)^2 - 3[/tex]

Let us try to convert it to standard form:

[tex]\Rightarrow y+3= \dfrac{1}2 (x+2)^2 \\\Rightarrow 2(y+3)= (x+2)^2 \\\Rightarrow (x+2)^2 = 2(y+3)\\\Rightarrow (x+2)^2 = 4\times \frac{1}{2}(y+3)[/tex]

Comparing the above with standard equation of parabola [tex](x - h)^2 = 4p (y - k)[/tex]:

[tex]h = -2, p = \frac{1}{2}, k = -3[/tex]

So, Focus is at [tex](h, k + p)[/tex]

[tex]k + p = -3+\frac{1}{2} = -2\frac{1}{2}[/tex]

Focus is at [tex](-2, -1\frac{1}2)[/tex].

Equation of directrix:

[tex]y = k - p=-3-\frac{1}{2}\\\Rightarrow y = -3\frac{1}{2}[/tex]

Also, please refer to the attached image for the diagram of given parabola, focus and directrix.

So, the answer is:

C. The focus is at [tex](-2,-2 \frac{1}{2})[/tex] and the directrix is at [tex]y = -3\frac{1}2.[/tex]

Answer:

84.64.

Step-by-step explanation:

(-9.2)^2

= (9.2)^2

= 84.64.

Answers:

Theoretical probability of 5 or 6 is 1/3

Experimental probability of 5 or 6 is 9/25

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

Explanation:

For the theoretical probability, we ignore the table of values. We assume the cube will land on any of the 6 sides with equal probability.

So landing on any given side has probability 1/6. Landing on 5 or 6 has probability 2*(1/6) = 2/6 = 1/3.

---------

For the experimental probability, we use the table. We see that '5' shows up twice, and '6' shows up seven times. In total, those values show up 2+7 = 9 times out of 25 total.

So that's how I got 9/25.

Answer: 4b^6

Remember if theres a bracket you multiply the power instead of adding

For example if it was 2b^3 x 2b^2 then the answer would be 4b^5 instead according to indices law, read up on it if you havent yet itll help a bunch! :)

Answer:

2700

Step-by-step explanation:

One hour is 300 sheets. We need to find 9 hours,

so 300*9= 2700

Answer:

Total amount earned = $500.25

Step-by-step explanation:

Given:

Wage per hour = $11.50

Time worked = 40 hours

Extra time worked = 7 hour

Wage paid per extra hour = $11.50 / 2 = $5.75

Find:

Total amount earned

Computation:

Total amount earned = [Wage per hour][Time worked] + [Extra time worked][Wage paid per extra hour]

Total amount earned = [11.50][40] + [7][5.75]

Total amount earned = [460] + [40.25]

Total amount earned = $500.25

Answer:

259.85 K

Formula:

-13.3°C + 273.15 = 259.85K

Step by step solution:

To convert, just add 273.15 to the Celcius value to get the Kelvin value.

Hope this helps!