What is the value of k for the inverse variation
function?
k=
DONE

Answer:

24.065 miles

Step-by-step explanation:

Antonio visited three cities on the coordinate grid at A(4, 5), B(-1, 3) and C(-3, -4), he visited the cities and ended up where he started. That means he moved from point A to B to C and back to A.

The distance (d) between two points (x₁, y₁) and (x₂, y₂) can be given as:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Therefore distance between AB = [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}=\sqrt{(-1-4)^2+(3-5)^2}=\sqrt{25+4}=5.385[/tex]

distance between BC = [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}=\sqrt{(-3-(-1))^2+(-4-3)^2}=\sqrt{4+49}=7.28[/tex]

distance between CA = [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}=\sqrt{(4-(-3))^2+(5-(-4))^2}=\sqrt{49+81}=11.4[/tex]

The total distance = AB + BC + AC = 5.385 + 7.28 + 11.4 = 24.065 miles

Answer:

x= -12/5 y+2

y=3/2y+-35/2x=

Step-by-step explanation:

Answer:

110

Step-by-step explanation:

I do not know what kind of answer you may want but here is a few you might be asking for

(1).   Every 12 games Alice wins 8 games and looses 4. ( 8/12 )

(2). Alice wins 2/3 games against a computer. ( 8/12 )

(3). Alice wins 66% of games she plays against a computer.

There you go.

Alice's win ratio for playing checkers against a computer is 8 wins out of 12 games, which simplifies to 2/3.

Alice has played 12 checker games against a computer and has won 8 of them. To understand her win ratio, we simply divide the number of games won by the total number of games played. This gives us a ratio or fraction of 8/12, which can also be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 4, resulting in 2/3. Therefore, Alice has a winning ratio of 2 wins for every 3 games played. Understanding win ratios is an essential part of probability and statistics, a key area within mathematics dealing with the analysis of numerical data.

Answer:

I think its 35

Step-by-step explanation:

Answer:

70

Step-by-step explanation:

The least common factor of 5 and 7 is 35. We multiply it by two because it is not even.

Let the length of the radius = r feet.

Diameter = 2r = 2 x 6.8 = 13.6 feet

Circumference = 2[tex]\pi[/tex]r = 2 x 3.14 x 6.8 = 42.704 feet = approx. 42.7 feet

The diameter is 13.60 feet.

The circumstance is approximately 42.70 feet.

Look at the attached picture

Hope it will help you

Answer:

no

Step-by-step explanation:

you can round it to 2.3 but depending on what place you are asked to round to it is still just 2

Answer:

Option (1). 6 inches

Step-by-step explanation:

Given question is incomplete; here is the complete question.

Tony needs 16-inch pieces of gold chain to make each of 3 necklaces. He has a piece of chain that is 4 1/2 feet long. How much chain will he have left after making the necklaces ?

Tony has a piece of chain = 4.5 feet long

                                           ≈ 4.5 × 12 inches

                                           ≈ 54 inches

Number of necklaces Tony wants to make = 3

Length of every piece of gold chain required for one necklace = 16 inches

Total length of gold chain required for 3 necklaces = 3 × 16 inches

                                                                                     = 48 inches

Length of remaining chain = 54 - 48 = 6 inches

Therefore, Option (1) will be the answer.

Answer:

The remaining three angles would be 70°, 110°, and 110°.

Step-by-step explanation:

A parallelogram has a measurement of 360° with two pairs of congruent opposite angles/sides.

The surface area of the solid rectangular prism is 408 square meters.

To find the surface area of a solid rectangular prism, you can use the formula:

Surface Area = 2lw + 2lh + 2wh

Where:

l = length

w = width

h = height

In your case, the dimensions of the prism are:

Length (l) = 9 meters

Width (w) = 10 meters

Height (h) = 6 meters

Now, plug these values into the formula:

Surface Area = 2(9m)(10m) + 2(9m)(6m) + 2(10m)(6m)

Surface Area = 180m^2 + 108m^2 + 120m^2

Now, add these areas together:

Surface Area = 180m^2 + 108m^2 + 120m^2 = 408m^2

So, the surface area of the solid rectangular prism is 408 square meters.

for such more question on surface area

https://brainly.com/question/16519513

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Answer:

B

Step-by-step explanation:

The equation of a circle in standard form is [tex](x-h)^2+(y-k)^2=r^2[/tex], where (h, k) is the center and r is the radius. The general form is simply the expanded form of the standard. Let's first write the standard form.

Here, the center is (3, -4) and the radius is r = 6, so:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

[tex](x-3)^2+(y+4)^2=6^2[/tex]

Now expand:

x² - 6x + 9 + y² + 8y + 16 = 36

x² + y² - 6x + 8y - 11 = 0

The answer is B.

Answer:

x² + y² - 6x + 8y - 11 = 0

Step-by-step explanation:

Equation of a circle:

(x - h)² + (y - k)² = r²

(x - 3)² + (y + 4)² = 6²

x² - 6x + 9 + y² + 8y + 16 = 36

x² + y² - 6x + 8y - 11 = 0

Answer:

They will have to pay $5,692,500 in 90 days.

Deben pagar $5,692,500 pagar al final de un período de 90 días.

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

[tex]E = P*I*t[/tex]

In which E are the earnings, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time, in years..

After t years, the total amount of money is:

[tex]T = E + P[/tex].

In this question:

[tex]P = 5500000, I = 0.14[/tex]

3 months is 3/12 = 1/4 = 0.25 of an year. So [tex]t = 0.25[/tex]

Then the interest accrued is:

[tex]E = P*I*t = 5500000*0.14*0.25 = 192500[/tex]

What they will have to pay:

[tex]T = 192500 + 5500000 = 5692500[/tex]

They will have to pay $5,692,500 in 90 days.

Deben pagar $5,692,500 pagar al final de un período de 90 días.

Answer:

$138

Step-by-step explanation:

We can first turn the words into a mathematical equation by substituting words with the information we have:

Total earning - ( Price of three books)

$180 - (Price of one book x 3)

$180 - ($14 x 3)

Finally, after we have created the mathematical equation, we solve it!

$180 - ($14 x 3)

$180 - $42

$138

Answer:

20min

Step-by-step explanation:

Answer:

The amount of money to be deposited today is $11,725

Step-by-step explanation:

In this question , we are concerned with calculating the amount of money that should be deposited presently to have $14,000 in three years.

To get this, we have to use the compound interest formula

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

where A is the amount to be earned after the end of the compounding period which is $14,000 according to this question

P is the initial amount to be deposited which is what we are looking for

r is the rate of compounding which is 6% or simply 6/100 = 0.06

n is the number of times interest is compounded yearly which is semiannually according to the question and this means 2

t is the number of years which is 3 according to the question

Now, plugging all these values, we have;

14,000 = P( 1 + 0.06/2)^(3 * 2)

14,000 = P(1+0.03)^6

14,000 = P(1.03)^6

14,000 = 1.194P

P = 14,000/1.194

P = 11,724.77 which is approximately $11,725

Answer:

990 ways

Step-by-step explanation:

The total number of automobiles we have is 11.

Now, what this means is that for the first position , we shall be selecting 1 out of 11 automobiles, this can be done in 11 ways( 11C1 = 11!/(11-1)!1! = 11!/10!1! = 11 ways)

For the second position, since we have the first position already, the number of ways we can select the second position is selecting 1 out of available 10 and that can be done in 10 ways(10C1 ways = 10!9!1! = 10 ways)

For the third position, we have 9 automobiles and we want to select 1, this can be done in 9 ways(9C1 ways = 9!/8!1! = 9 ways)

Thus, the total number of ways the first three finishers come in = 11 * 10 * 9 = 990 ways

Answer:

The area of the sector is 3pi/2

Step-by-step explanation:

A sector is that part of a circle bounded by 2 radii and an arc

The circle has an area of 9 pi with a central angle of 60 degrees.

Now the area of the sector is pretty much straight forward to calculate. Since it is a circle, the total angle we have is 360.

Now the sector subtends an angle of 60 degrees at the centre. What this means is that the sector is exactly 1/6 of the circle. meaning that cutting the circle into 6 slices will give the sector.

Thus, the area of the sector is one-sixth the area of the circle.

The area of the sector is thus 1/6 * 9pi = 9pi/6 = 3pi/2 or 3/2 pi

Answer:

i think 40

Step-by-step explanation:

Answer:

C. 12.6

Step-by-step explanation:

That is the answer when correctly put into a calculator.

Answer:

57/200

Step-by-step explanation:

285/1000 The fraction is not reduced to lowest terms. We can reduce this fraction to lowest

terms by dividing both the numerator and denominator by 5.

Why divide by 5? 5 is the Greatest Common Divisor (GCD)

or Greatest Common Factor (GCF) of the numbers 285 and 1000.

So, this fraction reduced to lowest terms is

57/200

So your final answer is: 0.285 can be written as the fraction 57/200

−0.258 written as a fraction in its simplest form is [tex]-\frac{129}{500}[/tex]

To write a given decimal as a fraction in its simplest form,

We will first express the decimal as a fraction and then reduce it to its lowest form.

The given decimal is −0.258

−0.258 written in fraction is [tex]-\frac{258}{1000}[/tex]

Now, we will reduce [tex]-\frac{258}{1000}[/tex] to its lowest form

First, we will divide both the numerator and denominator by 2 (Since 2 is a common factor)

We get

[tex]-\frac{258}{1000} = -\frac{258 \div 2}{1000 \div 2} = -\frac{129}{500}[/tex]

Since the fraction cannot be reduced further, then −0.258 as a fraction in its simplest form is [tex]-\frac{129}{500}[/tex]

Hence, −0.258 written as a fraction in its simplest form is [tex]-\frac{129}{500}[/tex]

Learn more here: https://brainly.com/question/24861087

Answer:  

x = 4

Step-by-step explanation:

4x + 2x = 18 + 6          (6 goes to the other side and changes its sign)

6x = 24

x = 4                       (divide 24 by 6)

Answer:

x = 4

Step-by-step explanation:

4x - 6 + 2x = 18

4x + 2x = 18 + 6                 collect like terms

6x = 24                              divide both sides by the coefficient of x

x = 4

Answer:

X=-5

Step-by-step explanation:

1.) Add 2 to 13, then you have -3x=15

2.) Divide 15 by -3 to get the solution. x=-5

Step-by-step explanation:

hope this is right I got this answer on one my fav website tiger

Answer:

[tex] - 3[/tex]

Step-by-step explanation:

[tex]2 {x}^{2} + 2 + ( {x}^{2} - 4) - (3 {x}^{2} + 1) \\ 2 {x}^{2} + 2 + {x}^{2} - 4 - 3 {x}^{2} - 1 \\ 2 {x}^{2} + {x}^{2} - 3 {x}^{2} + 2 - 4 - 1 \\ = - 3[/tex]

Answer:

0.2 is bigger than 0.125.

Answer:

The answer is C.

Step-by-step explanation:

Answer:

113.1

Step-by-step explanation:

V=4/3π(r)^3

V=4/3π(3)^3

V=4/3(27)π

V=36π ---> 113.1

Answer:

A = -16

B = 32

Step-by-step explanation:

There are 6 lines between A and B

48 ÷ 6 = 8 per line

A is two lines left of zero

A = 0 - 8 - 8 = - 16

B has 4 lines right of zero

B = 0 + 8 + 8 + 8 + 8 = 32

Answer:

y = 4.25x

Step-by-step explanation:

Given that y varies directly as x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = 34 when x = 8, thus

34 = 8k ( divide both sides by 8 )

k = [tex]\frac{34}{8}[/tex] = 4.25

y = 4.25x ← equation of variation

Gwen can buy 5 bottles of cola with her £7 and will have £0.75 left over.

Gwen has in total £7 (£5 note + £2 coin). A litre of cola costs £1.25. To find out how many bottles of cola Gwen can buy, we need to divide the total amount Gwen has by the cost of one bottle of cola.

Therefore, Gwen will have £0.75 left over after buying as many bottles of cola as she can.

Answer:

D because climate change can kill people

Answer:

I agree with lazarbeam profile man

Step-by-step explanation:

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