Find the volume of this sphere

Please help..

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Explanation:

x = sticker price, which is some number larger than 9 (otherwise the store loses money)

x-9 = profit made per speaker

To get the gross margin percentage, we divide the profit over the sales (aka revenue). So we'll divide (x-9) over x

The expression (x-9)/x represents the gross margin in decimal form. Set this equal to 0.80 and solve for x

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(x-9)/x = 0.80

x-9 = 0.80x

x-0.80x = 9

0.20x = 9

x = 9/0.20

x = 45

The sticker price is $45

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If the sticker price is $45 per speaker, then the store owner gets 45-9 = 36 dollars in profit per speaker sold. The gross margin would be (profit)/(sales) = 36/45 = 0.80 = 80%

In other words, 80% of the revenue is profit (the remaining 20% is costs or expenses).

Given:

The recursive formulae.

To find:

The correct explicit formulae for the given recursive formulae.

Solution:

If the recursive formula of a GP is [tex]f(n)=rf(n-1), f(1)=a, n\geq 2[/tex], then the explicit formula of that GP is:

[tex]f(n)=ar^{n-1}[/tex]

Where, a is the first term and r is the common ratio.

The first recursive formula is:

[tex]f(1)=5[/tex]

[tex]f(n)=3f(n-1)[/tex] for [tex]n\geq 2[/tex].

It is the recursive formula of a GP with a=5 and r=3. So, the required explicit formula is:

[tex]f(n)=5(3)^{n-1}[/tex]

Therefore, the required explicit formula for the first recursive formula is [tex]f(n)=5(3)^{n-1}[/tex].

If the recursive formula of an AP is [tex]f(n)=f(n-1)+d, f(1)=a, n\geq 2[/tex], then the explicit formula of that AP is:

[tex]f(n)=a+(n-1)d[/tex]

Where, a is the first term and d is the common difference.

The second recursive formula is:

[tex]f(1)=5[/tex]

[tex]f(n)=f(n-1)+5[/tex] for [tex]n\geq 2[/tex].

It is the recursive formula of an AP with a=5 and d=5. So, the required explicit formula is:

[tex]f(n)=5+(n-1)5[/tex]

[tex]f(n)=5+5(n-1)[/tex]

Therefore, the required explicit formula for the second recursive formula is [tex]f(n)=5+5(n-1)[/tex].

The third recursive formula is:

[tex]f(1)=5[/tex]

[tex]f(n)=f(n-1)+3[/tex] for [tex]n\geq 2[/tex].

It is the recursive formula of an AP with a=5 and d=3. So, the required explicit formula is:

[tex]f(n)=5+(n-1)3[/tex]

[tex]f(n)=5+3(n-1)[/tex]

Therefore, the required explicit formula for the third recursive formula is [tex]f(n)=5+3(n-1)[/tex].

Answer:

29.45

Step-by-step explanation:

Cost of the fish

2 * 4.75 = 9.50

Cost of the tank

19.95

Add them together

9.50+19.95

29.45

Answer:

29.45$

Step-by-step explanation:

total=2×4.75$+19.96$

=29.45$

Answer:

A is the y-coordinate of the red point.

Answer:

[tex]\displaystyle d = \sqrt{29}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Algebra II

Step-by-step explanation:

*Note:

The distance formula is derived from the Pythagorean Theorem.

Step 1: Define

Identify

Point (5, 10)

Point (10, 12)

Step 2: Find distance d

Answer:

2 2/5

Step-by-step explanation:

3/4 divided  by 5/16 = 12/5

12 goes into 5 2 times making

2 2/5

Answer:

2 2/5

Step-by-step explanation:

3/4 ÷ 5/16 =

3/4 · 16/5 =

2 2/5

3/4 divided by 5/16 is equal to 2 2/5.

Answer:

Hello,

Answer B (-5/3,-4/3)

Step-by-step explanation:

I am going to use the substitution 's method.

[tex]\left\{\begin{array}{ccc}x+y&=&-3\\y&=&2x+2\\\end {array} \right.\\\\\\\left\{\begin{array}{ccc}y&=&2x+2\\x+2x+2&=&-3\\\end {array} \right.\\\\\\\left\{\begin{array}{ccc}y&=&2x+2\\3x&=&-5\\\end {array} \right.\\\\\\\left\{\begin{array}{ccc}x&=&-\dfrac{5}{3} \\\\y&=&2*(-\dfrac{5}{3})+2\\\end {array} \right.\\\\\\\boxed{\left\{\begin{array}{ccc}x&=&-\dfrac{5}{3} \\\\y&=&-\dfrac{4}{3}\\\end {array} \right.\\}[/tex]

Answer:

Side-Side-Side (SSS)

Step-by-step explanation:

Side-Side-Side is a rule used to prove whether a given set of triangles are congruent. The SSS rule states that: If three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent.

Answer:

-6

Step-by-step explanation:

-6 is the answer .

Hope it helps you

Answer:

-6

Step-by-step explanation:

Answer:

D sh.225000

Step-by-step explanation:

Calculation to determine UNESS fixed expense?

Using this formula

Fixed expense=(Total sales - Operating income)*Contribution margin ratio

Let plug in the formula

Fixed expense=($1,000,000-$100,000)*0.25

Fixed expense=$900,000*0.25

Fixed expense=$225,000

Therefore UNESS fixed expense is $225,000

Step-by-step explanation:

200g=$2.50

1g=?

2.50*1=?*200

2.50/200=?

$0.0125

Answer:

(x, y) = (5,8)

Step-by-step explanation:

Comparing the ordered pairs we get, x+y=13 and 2=2x-y. Solving it we will get, x=5 and y=8

Answer:

total candy = 54 bags

y=17

x=37

Step-by-step explanation:

5x + 4y = 253

x-y = 20

x = 20+y

5(20+y) + 4y = 253

100 + 9y = 253

9y = 153

y=17

x=37

Answer:

A. {y | -∞ < y < 4}

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

According to the graph, we can see that we have a horizontal asymptote at y = 4. Our y-values stretch from negative infinity to the horizontal asymptote.

∴ our answer would be A.

Answer:

m∠3=12(8)+24=120

m∠5=10(8)+40=120

m∠3=m∠5,∠3=∠5

OAmalOHopeO

Answer:

Ii's letter A

Step-by-step explanation:

If functions f(x) = 3x - 2 and g(x) = 2x + 1 then (f+g)(x) value is 5x-1, Option A is correct.

A relation is a function if it has only One y-value for each x-value.

The given functions are f(x) = 3x - 2 and g(x) = 2x + 1

We have to find the function (f+g)(x)

By property of the function (f+g)(x) = f(x) + g(x)

Now plug in the values of function f(x) and g(x)

(f+g)(x)= 3x-2+2x+1

Combine the like terms

(f+g)(x)= 5x-2+1

= 5x-1

Hence, if functions f(x) = 3x - 2 and g(x) = 2x + 1 then (f+g)(x) value is 5x-1, Option A is correct.

To learn more on Functions click:

https://brainly.com/question/30721594

#SPJ7

Answer:

Equation:  [tex]70=(x+3)x[/tex]

x = -10 or x = 7

x = 7 (width can't be negative)

x + 3 = 10

Step-by-step explanation:

Represent the width of the rectangle by  x.  "The length of a rectangle EXCEEDS the width by 3" means the length is 3 LONGER than the width, so the length is represented by the expression  x + 3.

Area = (length)(width)

70 = (x + 3)x

Multiply out the right side.

[tex]70=x^2+3x\\x^2+3x-70=0[/tex]

Factor the left side.

[tex](x+10)(x-7)=0[/tex]

Each binomial could equal 0, so

[tex]x+10=0 \text{ or }x-7=0\\x=-10\text{ or }x=7[/tex]

The negative solution does not make sense as the width of a rectangle.

x = 7, making the length, x + 3 = 10

Answer:

Pls mark this as brainiest

Step-by-step explanation:

Area of the rectangle = length x breadth

consider 'x' to be width

therefore length = x+3

area = (x+3)*x

Area = 70 square

x = 7

x+3 = 7+3

      = 10

verification

7 x 10

= 70

Answer:

Graph number 3 is correct :)

Answer:

It's the 3rd pic

Step-by-step explanation:

It's written in y=mx+b form

the m is slope so 2/3 is the slope. You go up 2 and right 3

b is the y-intercept

hope this helps

Answer:

825 in^3

Step-by-step explanation:

The volume of a cylinder is

V = pi r^2 h  where r is the radius and h is the height

We are given the diameter of 10

The radius is 1/2 of the diameter of 1/2 (10) = 5

V = (3) * (5)^2 * 11

V = 3( 25)*11

   = 825 in^3

Answer: 825 in³

Step-by-step explanation:

Volume = πr²h, where:

Therefore, the volume of this cylinder can be calculated as:

3 · 5² · 11 = 3 · 25 · 11 = 75 · 11 = 825 in³

Answer:

0.77 ounces

My apologies if my answer is wrong :)

Answer:

0.77

Step-by-step explanation:

Answer:

below

Step-by-step explanation:

that is the procedure above

Answer:

113 cm³

Step-by-step explanation:

The volume of the cat's food that the container would contain = volume of cylinder = πr²h

Where,

π = 3.14

r = ½(6) = 3 cm

h = 4 cm

Volume = 3.14 × 3² × 4

Volume = 3.14 × 9 × 4 = 113.097336

≈ 113 cm³

Answer:

step number 1 is incorrect.

Step-by-step explanation:

Here is the solution of this equation [2x-31-1=2].

2x-31-1=2

or 2x-31=2+1

or 2x=2+1+31

or 2x= 34

or x=34/2

or x= 17

the answer of this equation is X=17.

Answer:

Step 1

Step-by-step explanation:

Answer:

a pod t.v. Ka ssh Mic yummy

The given relation {(2,1), (4,2) (6,3) (8,4)} is one to many relation.

The other solution for this problem is given below.

The pattern is the sum of the two numbers plus the previous sum, i.e.

12 = 2+5 +(5)

21 = 3+6+ (12)

40 = 8+11 +21

These type of questions are part of reasoning and comes in random competitive exams which have multiple choice questions and therefore you have more than you want.

First , you need to multiply both numbers and then add the first number.

Therefore, 1+4= 1x4+1=5

2+5=2×5+2=12

3+6=3×6+3=21

A many-to-one relationship is where one entity (typically a column or set of columns) contains values that refer to another entity (a column or set of columns) that has unique values.

Hence,8+11=8×11+8=96

The other solution for this problem is given below.

The Solution for this is

1+4=5

1(4+1)=1(5)=5

2+5=12

2(5+1)=2(6)=12

3+6=21

3(6+1)=3(7)=21

Therefore we get,

8+11=8(11+1)=8(12)=96.

Therefore the given relation is any one to many relation.

To learn more about the relation visit:

https://brainly.com/question/1579288

Answer:

7

Step-by-step explanation:

Set up an equation to model the situation. Let (x) represent the unknown number.

(5x) + 3 = 38

Use inverse operations to solve for the unknown,

(5x) + 3 = 38

5x = 35

x = 7

Answer:

Slope: 0.28

y-intercept: (0,65)

Answer:

slope: .28 y-int: 65

because y=mx+b m is slope and b is the y intercept

Answer:

25% loss

Step-by-step explanation:

Take the original amount and subtract the new amount

28 -21 = 7

Divide by the original amount

7/28 = .25

Change to percent form

25%

25% loss