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Answer:

2 + y = 11      y = 9

Step-by-step explanation:

Steps

2 + y = 11

subtract 2 from both sides

2 + y - 2 = 11 - 2

y = 9

Answer:

it's a trapezoid

Step-by-step explanation:

((major base + minor base) x height) / 2

((7+5)x8) / 2 = 52

Answer:

Step-by-step explanation:

I think the original proce would be  $265

1. Subtract the percentage discount from 100

100 - 20= 80

2. Multiply the final price($245) by 100

245 × 100= 24,500

3. Divide the answer in step 2 by the answer in Step 1

24,500 ÷ 80= $306.25

answer is $306.25

How to check to ensure your answer is correct:

1. Multiply the "answer" by the discount price divided by 100. This will give the discount percentage in dollars.

$306.25 × 0.2( which is 20÷100)= $61.25(discount in dollars)

2. Subtract the discount in dollars from the "answer"

$306.25 - $61.25= $245(final price is the same as in the problem so it is correct)

OR

1. Multiply the original price by the number you get from step 1 in your problem divided by 100

$306.25 × 0.8(80 from the very first step divided by 100)= $245(the final price is the same given in the question)

Answer:

260,000

Step-by-step explanation:

The value decreases by 40,000 per year (500000-42000/2 years) the value will decrease by 240000 in six (4 years plus 2 years already passed) years. 6 x 40,000 =240000

So, the value should be 260,000 (500000-240000)

Or

year 1 500000-40000=460000

year 2 460000-40000=420000

year 3 420000-40000=380000

year 4 380000-40000=340000

year 5 340000-40000=300000

year 6 300000-40000=260000

The machine's resale value Garland Mills purchased in 4 years from now will be; $353,049

We are told that the machines present resale value is $420000. Now formula for future value is;

Future value = present value * exp(cx)

Thus;

$420,000 = $500,000 * exp(2c)

420000/500000 = exp(4c)

2c = In(420000/500000)

c = -0.087

Future value = present value * exp(cx)

Future value = $500,000 * exp(-0.087 * 4)

Future value = $353,049

Therefore, the machine's resale value in 4 years from now will be  $353,049

Read more about future value amount at; https://brainly.com/question/13961729

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]

Solution :

Let

[tex]$k_1$[/tex] = number of levels for the factors 'flavors' = 4

      (4 levels vanilla, chocolate, red velvet and marbled)

The degree of freedom for the factor 'flavors' = [tex]$k_1$[/tex] - 1

                                                                            = 4 - 1

                                                                            = 3

Now defining the F test statistics for testing the significance of the factors, 'flavors' :

F test statics = [tex]$=\frac{Ms\text{ (factor falvor)}}{Ms \text{ (errors)}}$[/tex]          ,   Ms = mean square

where F = [tex]$F_{k_1-1}$[/tex], error df.

Thus the numerator degrees of the freedom for the F test statistics to determine if the factor flavor was significant is = [tex]$k_1$[/tex] - 1

                                                                            = 4 - 1

                                                                            = 3                                                                              

Answer:

4 a − 3 x + 4

Step-by-step explanation:

I just simplified everything together to get this answer.

Hope that this helped! :)

Have a great rest of your day/night!

Please thank me on my profile if this answer has helped you!

Answer:

x = 5 ± √17

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

(x - 5)² = 17

Step 2: Solve for x

Answer:

40 square meters

Step-by-step explanation:

Perimeter means to add up all sides.

area means one side times one side

10 times 10 makes 100 so i am guessing each side is 10

10 + 10 + 10 + 10 = 40

Answer:

Step-by-step explanation:

the area of the squared is 5 * 5 = 25

the area of the triangle is 1/2*base*height = 1/2*2*5= 5

the area of the circle is  [tex]\pi[/tex][tex]r^{2}[/tex] = [tex]\pi[/tex][tex]2.5^{2}[/tex] = 19.625

now add the pieces up for the total

25+5+19.625 = 49.625 [tex]in^{2}[/tex]

:)

First, find the area of the semi-circle.

A= pi*radius squared

Find your radius. The diameter is 5, half of that is 2.5

Input into the formula

A= pi*2.5^2

  =3.14*6.25

  =19.625 in^2

You can round that to about 19.6 inches.

Find the area of the square

A=s^2

 = 5^2

 = 25 in^2

Find the area of the triangle.

A= b*h/2

 = 2*5/2

 = 10/2

 = 5 in^2

Add it all up.

19.6+ 25 + 5= 49.6

∴ 49.6 in²

Best of luck!

Answer:

b

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

When multiplying exponents, you would add the degrees.

A, B, and D's degrees add up to [tex]5^{-2}[/tex] , which is equal to 1/25.

C adds up to [tex]5^{2}[/tex], which is 25, therefore making it C

Answer:

y=0x+6

Step-by-step explanation:

slope intercept form is: y=mx+b

Answer:

x = 1 and vertex = (1, - 7 )

Step-by-step explanation:

Given a quadratic function in standard form

y = ax² + bx + c ( a ≠ 0 )

The the equation of the axis of symmetry which is also the x- coordinate of the vertex is

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

y = 4x² - 8x - 3 ← is in standard form

with a = 4, b = - 8 , then

x = - [tex]\frac{-8}{8}[/tex] = 1

That is equation of axis of symmetry is x = 1

Substitute x = 1 into the function for y- coordinate of vertex

y = 4(1)² - 8(1) - 3 = 4 - 8 - 3 = - 7

vertex = (1, - 7 )

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

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

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:

go make me a sandwhich you witch

Step-by-step explanation:

Answer:

x = 65

Step-by-step explanation:

x + 115 = 180

x = 65

Answer:

65 degrees

Step-by-step explanation:

180-115=65 degrees

The line that 115 degrees is on is equal to 180.

Answer:

whts the question??

Step-by-step explanation:

Answer:

the answer is b

Step-by-step explanation:

top right corner

Answer:

the answer is b

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

Answer:

30 units!

Step-by-step explanation:

Edge 2020, I got a 100% on the test

Answer:

30 units

Step-by-step explanation:

muah good luck guys!

Answer:

5 balls

Step-by-step explanation:

Sorry if it's wrong.

Answer: 9

Step-by-step explanation: because 3/4 of an hour is 45 minutes and 45/5 is 9 and it’s in 5 min segments that’s why you divide 45 by 5

sorry for the first one i read the question wrong

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:

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