if c and d vary inversely, and d=5/3 and c=5. write a function that models inverse variation and find d when c=10

Answer:

0.002

Step-by-step explanation:

2 thousandths is in the thousandths place, which is 3 digits to the right of the decimal point. Hope this helped!

Answer:

40 miles per hour

Step-by-step explanation:

After 1 hour the car traveled 40 miles, after 4 hours the car traveled 160 miles. 4 x 40 = 160. Therefore 40mph.

Short answer (I write nPr = P(n, r) and nCr = C(n, r) ):

P (6, 4) = 6! / (6 - 4)! = 6! / 2! = 720 / 2 = 360

C (6, 4) = P (6, 4) / 4! = 6! / (4! (6 - 4)!) = 360 / 24 = 15

Long answer:

P(n, r) counts the number of permutations of n objects taken r at a time, given by

P(n, r) = n ! / (n - r )!

A permutation is a unique arrangement of objects such that the order in which they are arranged is taken into account. For example, if the objects in question are the numbers in the set {1, 2, 3}, then

• there are 3! = 6 total possible permutations if we take all 3 numbers at once:

123, 132, 213, 231, 312, 321

• there are 3!/(3-2)! = 3!/1! = 6 total permutations if we only take 2 numbers at once:

12, 13, 21, 23, 31, 32

• there are 3!/(3-1)! = 3!/2! = 3 total permutations if we take only 1 number at a time:

1, 2, 3

• and there is 3!/(3-0)! = 3!/3! = 1 way of permuting the 3 numbers without taking any of them:

(the permutation itself is just empty space)

By contrast, C(n, r) counts the combinations of n items taken r at a time, given by

C(n, r) = P(n, r) / r !

A combination is like a permutation, but the order of the objects doesn't matter. Continuing with the previous example of arrangements of the numbers from {1, 2, 3}, we have

• 3! / (3! (3-3)!) = 1 combination taking all 3 numbers at once:

123

(the other 5 permutations listed earlier are made up of the same numbers, so we consider them duplicates)

• 3! / (2! (3-2)!) = 3 combinations taking only 2 numbers at once:

12, 13, 23

• 3! / (1! (3-1)!) = 3 combinations taking only 1 number:

1, 2, 3

• 3! / (0! (3-0)!) = 1 combination taking none of them:

(again, empty space)

The main point is that the order of objects is considered across permutations, while it's ignored across combinations.

Answer:

c. y + 1 = -⅕(x - 2)

Step-by-step explanation:

To write the equation in point-slope form, we need to know the slope (m) and coordinates of a point the line passes through.

The equation would be in the form of y - b = m(x - a).

(a, b) = (2, -1)

Since the line is perpendicular to y = 5x + 3, the slope will be the negative reciprocal of 5 which is -⅕

m = -⅕.

Substitute a = 2, b = -1, and m = -⅕ into y - b = m(x - a).

Thus:

y - (-1) = -⅕(x - 2)

y + 1 = -⅕(x - 2)

Answer:

[tex]\dfrac{17}{13}[/tex]

Step-by-step explanation:

Given that,

r(x) = 3x - 1 and s(x) =  2x + 1

We need to find an expression equivalent to [tex]\dfrac{r}{s}(6)[/tex].

We know that,

[tex]\dfrac{r}{s}(6)=\dfrac{r(6)}{s(6)}[/tex]

Put x = 6 in the above expression

[tex]=\dfrac{3(6)-1}{2(6)+1}\\\\=\dfrac{18-1}{12+1}\\\\=\dfrac{17}{13}[/tex]

So, the equivalent expression is equal to [tex]\dfrac{17}{13}[/tex].

Step-by-step explanation:

We need to find the area of the shaded region. We see that the region next to that has a central angle of 120°. Also we know that angle in a straight line is 180° . So the measure of central angle of that shaded region will be 180° - 120° = 60° . Now we can use the formula of area of sector to find out the area of the shaded region.

[tex]\tt\to Area = \dfrac{\Theta}{360^o}\times \pi r^2 \\\\\tt\to Area = \dfrac{60^o}{360^o}\times \pi (8cm)^2 \\\\\tt\to Area =\dfrac{\pi \times 64}{6}cm^2\\\\\to\boxed{\orange{\tt Area_{(Shaded)}= 10.66\pi cm^2}}[/tex]

Step-by-step explanation:

[tex]interquartile \: range = \frac{1}{2} (Q _{3} - Q _{1} ) \\ = \frac{1}{2} (38 - 34) \\ = \frac{1}{2} (4) \\ = 2[/tex]

Answer:

The other dude made 0 sence

Step-by-step explanation:

Its 12

Answer:

23.14 m²

Step-by-step explanation:

square = 3 x 3 = 9 m²

the 4 semi-circles are equal to 2 complete circles, so:

radius = 3/2 = 1.5

semi-circles = (2)(3.14)(1.5²) = 14.14 m²

9 + 14.14 = 23.14 m²

Answer: 8000?

Step-by-step explanation:

If your asking the area of his land, 800 yards

Total of 180 I guess? What are you trying to askkk?

Answer:

Step-by-step explanation:

Given function is,

f(x) = -4(x - 3)² + 1

A). Negative sign of the coefficient (-4) tells that the parabola opens downwards.

    And 4 represents that the parent function is stretched vertically by 4 units.

B). By comparing this equation with the vertex form of the quadratic function,

    f(x) = a(x - h)² + k  

    Here, (h, k) is the vertex of parabola.

    Vertex of the given parabola → (3, 1)

C). Axis of symmetry → x = 3

D). Domain of the given quadratic function → (-∞, ∞)

     Range of the given function → (-∞, 1)

Ok, I hope im right. (Others correct me if im not. But when I worked out this problem I got y is approximatly 4,882 attendees after 6 years.

Gathering info from the graph I created a table

(0,20) , (1,30) , (2,45), ...

I found the difference between the points listed. For example, 30÷20 is 1.5. So, each point is multiplied times 1.5 to continue the sequence.

Use the equation: y=a(1+r)^t

Remember what each variable stands for. That way you can plug in the correct information

Continuing..

y=a(1+r)^t

y=20(1+1.5)^t ; combine like terms

y=20(2.5)^t

b) Plug in the # of years. 6 in our case, everywhere you see a t

y=20(2.5)^6

y is approximately equal to 4882.8125

Round because we can only have whole numbers. we're talking about people.

I hope I got this right. But, if not, I tried

Answer:

whts the question??

Step-by-step explanation:

Answer:

$22.05

Step-by-step explanation:

If a product has a sales commission, then one must divide the commission percent by (100) to convert the percent to a decimal. Then multiply the result by the price of the product to find the amount of money that will be given as a commission.

Applying this knowledge to the given problem, one must divide (9%) by (100) to convert to decimal form,

9% / 100 = 0.09

Now multiply the result by the price of the product (245) to find the amount given away in commission,

0.09 * 245 = 22.05

Answer:

24 sq units

Step-by-step explanation:

shape is a triangle with a height of 6 and a base of 8

A = bh/2

A = (6·8)/2

A = 24

[tex]f(x) + g(x) = - 2 {x}^{4} + 6 {x}^{3} + 8{x}^{2} - 9x + 7[/tex]

Answer:

Use the formula.

((x1+x2)/2 , (y1+y2)/2)

(2+4)/2 , (3 + 5)/2

3 , 4

Answer:

(3, 4)

Step-by-step explanation:

(2,3) and (4,5)

midpt formula:

[tex](\frac{x1+x2}{2} ,\frac{y1+y2}{2} )\\\\(\frac{2+4}{2} ,\frac{3+5}{2} )\\\\(\frac{6}{2} ,\frac{8}{2} )\\\\(3,4)[/tex]

r

sin

θ

=

−

3

Explanation:

Imagine we have a point  

P

with Rectangular (also called Cartesian) coordinates  

(

x

,

y

)

and Polar coordinates  

(

r

,

θ

)

.

The following diagram will help us visualise the situation better:

https://keisan.casio.com/exec/system/1223526375

https://keisan.casio.com/exec/system/1223526375

We can see that a right triangle is formed with sides  

x

,  

y

and  

r

, as well as an angle  

θ

.

We have to find the relation between the Cartesian and Polar coordinates, respectively.

By Pythagora's theorem, we get the result

r

2

=

x

2

+

y

2

The only properties we can say about  

θ

are its trigonometric functions:

sin

θ

=

y

/

r

⇒

y

=

r

sin

θ

cos

θ

=

x

/

r

⇒

x

=

r

cos

θ

So we have the following relations:

⎧

⎪

⎨

⎪

⎩

r

2

=

x

2

+

y

2

y

=

r

sin

θ

x

=

r

cos

θ

Now, we can see that saying  

y

=

−

3

in the Rectangular system is equivalent to say

r

sin

θ

=

−

3

Answer link

Jim G.

May 19, 2018

r

=

−

3

sin

θ

Explanation:

to convert from  

cartesian to polar

∙

x

x

=

r

cos

θ

and  

y

=

r

sin

θ

⇒

r

sin

θ

=

−

3

⇒

r

=

−

3

sin

θ

(1)  Equivalent fractions (2) common denominator

Solution:

1. Equivalent fractions name the same amount.

Equivalent fractions are the same value with different numerator and denominator.

Example:

These values are same.

2. A common denominator is a common multiple of two or more denominators.

Example:

Here 6 is a common multiple of 2 and 3.

Hence the answer is (1)  Equivalent fractions (2) common denominator.

⻏尺闩讠㇄讠丂七 讠丂 闩尸尸尺⼕讠闩セᗪ

Answer:

C. 586.2 cm²

Step-by-step explanation:

Area of the figure = area of triangle + area of rectangle + area of semicircle

= (½*b*h) + (L*W) + ½(πr²)

Where,

b = 18 cm

h = 7 cm

L = 22 cm

W = 18 cm

π = 3.14

r = ½(18) = 9 cm

Substitute

Area = (½*18*7) + (22*18) + ½(3.14*9²)

Area = 63 + 396 + 127.17

Area = 586.17 ≈ 586.2 cm²

Answer:

22.78

Step-by-step explanation:

22 x 0.05 = 1.1

22 - 1.1 = 20.9

20.9 x 0.09 = 1.881

20.9 + 1.881 = 22.781

Answer:

y=0x+6

Step-by-step explanation:

slope intercept form is: y=mx+b

Answer:

1. 16

2. 36.62 in

Step-by-step explanation:

For the first one:

If you don't want to read the explanation go to the next section in bold

We are told that the triangles are similar.

We are told that the side lengths of the smaller triangle measure 7,4 and 9

And we are told that the longest side of the similar triangle measures 36

Given this information we need to find the other side lengths.

Because the triangles are similar each side length will share similar ratios. Note that the ratios must be between the two longest side, the two medium length sides and the two shorter sides

Because we are given the longest side length of the similar triangle and the longest side length of the smaller triangle we can set up a proportion to find the other side lengths.

The proportion can be found by dividing the longest side length of the larger triangle (36) by the longest side length of the smaller triangle (9)

proportion = [tex]\frac{36}{9} or4[/tex]

So the ratio to the side lengths of the triangle is 4 to 1

Now that we have created a proportion we can find the other side lengths.

Once again this information is not needed. If you don't want to read it go to the next section in bold.

For the medium length side:  [tex]\frac{4}{1} =\frac{x}{7}[/tex] ( remember x = missing side length)

multiply each side by 7

4 * 7 = 28

x/7 * 7 = x

x = 28

For the shorter side: [tex]\frac{4}{1} =\frac{x}{4}[/tex] ( once again x = missing side length )

multiply each side by 4

4 * 4 = 16

x/4 * 4 = x

x = 16

So we can conclude that the side length of the shortest side is 16

For the second one

This problem is like the other one.

The only difference is we are already given the ratio

( note that the ratio is width to height )

16 : 9

Given the proportion and the height (20.6) of the other flat screen tv we need to find the width

To do so we set up an equation using the ratio:

let x = width

[tex]\frac{16}{9} =\frac{x}{20.6}[/tex]

using cross multiplication

16 * 20.6 = 329.6

9 * x = 9x now we have 9x = 329.6

step 2 divide each side by 9

9x / 9 = x

329.6/9 = 36.62

we're left with x = 36.62

Meaning that the width of the other flat screen tv is 36.62 in

Answer:

[tex]64(in)^{3} [/tex]

Step-by-step explanation:

The volume of a box is equal to the length l times the width w times the height h.

[tex](lenght) \times (width) \times (height)[/tex]

Substitute the values of the length l=8, the width w=2, and the height h=4 into the formula.

[tex]8 \times 2 \times 4[/tex]

Multiply 8 by 2.

[tex]16 \times 4[/tex]

Multiply 16 by 4.

[tex]64 {in}^{3} [/tex]

Hence, the volume of the rectangle prism is 64(in)³.

Answer:

Step-by-step explanation:

Given dimensions:

Volume of the prism is:

Answer:

go make me a sandwhich you witch

Step-by-step explanation: