If 3 times a number is decreased by 2 the principal square root of this difference is 4 less than the number. Find the​ number(s).

Answer: 50

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

300(2) bcuz 300 guests and each person gets 2

600(12) bcuz 300(2) is 600 and a dozen is 12

=50

Answer:

Solved using 2 different methods, used the definition of derivative aswell.

The total amount of money Sam deposited is $1,031.72.

Given that, Sam deposited 28 twenties, 18 tens, 32 fives, 20 ones, 18 quarters and checks for $22, $18.18 and $67.04.

We need to find out what was the amount Sam deposited.

Add the rate to the purchase price to determine the discount. Subtract the discount from the original price to arrive at the sale price.

The discounted price at which products or services are being sold is known as a sale price.

Now, total money = 28×20+18×10+32×5+20×1+18×0.25+22+18.18+67.04

=560+180+160+20+4.5+22+18.18+67.04

=1,031.72

Therefore, the total amount of money Sam deposited is $1,031.72.

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Answer:

500

Step-by-step explanation:

500*2=1000

1000/2=500

Answer:

For the first question:

For the second question:

Step-by-step explanation:

Hope it helps! =D

Answer:

a. 12= 0.50x

b. x=24 because if 0.5 times x is 12 then 12 *2 is x

c. 80$

Step-by-step explanation:

Its above.

Step-by-step explanation:

Replace x with y and y with x.

Then, try to isolate the y.

x=12y+7

x-7=12y

(x-7)/12=y

f^-1(x)=(x-7)/12

The inequality that describes p, the area of a pizza that is larger than a small pizza 730(seven hundred thirty) < p

What is inequality?

From the information given, we have that;

Area of the small pizza = 730(seven hundred thirty) square centimeters

p  = area of the larger pizza

In writing inequality, we have to use the signs

<  less than

> greater than

Since p has a greater area, we have

730(seven hundred thirty) < p

Thus, the inequality that describes p, the area of a pizza that is larger than a small pizza 730(seven hundred thirty) < p

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The given functions can be solved using composition functions.

Function composition is a mathematical procedure where two functions, f and g, are taken and a function, h = g f, is produced such that h(x) = g(f(x)). The function g is applied in this operation on the outcome of applying the function f to x.

function (x)-2x+5.

(a) f(3) = 2(3) + 5

= 11

(b) f'(x)

y = 2x + 5

y - 5 = 2x

x = y - 5 / 2

f'(x) = x - 5 / 2

g is the function g(x)-²-25.

(c)  g(x)-²-25

g(-3) = (-3)² - 25

g(-3) = -16

(d) g(f(x)) = g(2x + 5)² - 25

= 4x² + 25 + 20x - 25

⇒ 4x² + 20x

r'(x) = 2x + 5

(ii) g(x) - 0

⇒ g(x)

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The coordinates of our position after moving up and down will be (0, -7)

We are given a coordinate plane and we are standing at the origin of the plane.

That is, our position is (0, 0).

Now, we move 2 units in the positive direction.

So, now our position will be:

(0, 2)

Then, we move downward a distance of 9 units.

So, our position will now become:

(0, 2 - 9)

(0, -7)

Therefore, the coordinates of our position after moving up and down will be (0, -7)

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Answer:

7.5 batches

Step-by-step explanation:

if he uses 0.6kg of sugar per 2 batches, it's 0.3kg per batch.

2.25kg would let us make

2.25kg / 0.3kg = 2.25 / 0.3 = 7.5 batches

Greetings from Brasil...

We have 2 fixed fees:

→ $10 when you sit on the bench

→ $5 tip

So, fixed fees = $10 + $5 = $15

The rate that varies would be the distance traveled. The fee will be $0.75 per mile moved. In this case we can write that:

C = 0.75M + fees

let

C = cost

M = mile(s)

for 24 miles, M = 24, then

C = 0.75M + 15

C = 0.75 · 24 + 15

C = 18 + 15

C = $33

With $30 it will not be possible to make this trip, as the total cost would be $33

One solution or alternative would be to reduce the tip amount. Instead of $5, pay only $2 of tip.

We can rewrite the cost expression involving a variable for the tip:

C = 0.75M + T + 10

let T = tip

For the exercise example.... The distance (M) its 24 miles and the value of C has to be what I have in my pocket: 30.... then M=24 and C=30

C = 0.75M + T + 10

30 = 0.75 · 24 + T + 10

30 = 18 + T + 10

30 - 18 - 10 = T

T = 2

Is it possible to do this ride if you pay only $2 tip

2210

Scientific notation is a way to present extremely large or extremely small numbers in a more understandable way. We are aware that full numbers can go on forever, but we are unable to write such enormous figures on paper. Additionally, a simpler method of representation was required for the numbers that appear at the millions place after the decimal. This makes it challenging to represent a small number of integers in their enlarged form. We therefore employ scientific notations.

Expanding the term,

2.21 x 1000 = 2210

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From the example that if a = 3 and b = 3 so the value of n = 6. It means that a ≤ n/2 and b ≤ n/2.

The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.

Given that all integers a, b, and n, if n = a + b, then a ≤ n/2 or b ≤ n/2. Let the value of a = 3 and b = 3 now the value of n will be:-

n = a + b

n = 3 + 3 = 6

a = 3, n = 6 then a ≤ n/2.

b = 3, n = 6 then  b ≤ n/2.

Therefore, the example that if a = 3 and b = 3 so the value of n = 6. It means that a ≤ n/2 and b ≤ n/2.

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Step-by-step explanation:

Answer:

The distance between the two given points is equal to √85.

Step-by-step explanation:

Let's recall what the distance formula is:

\displaystyle \huge\math\boxed{d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2} }\math

d= (x 1 −x2 ) 2 +(y 1 −y 2) 2

We are defined our two points as:

(x₁, y₁) → (1, -7)

(x₂, y₂) → (7, 0)

We can rewrite this into our different "variables":

x₁ = 1

y₁ = -7

x₂ = 7

y₂ = 0

Now given our distance formula and our variables, we can find the distance between the two points:

\begin{gathered}\displaystyle\huge\begin{aligned}d & = \sqrt{(1 - 7)^2 + (7 - 0)^2} \\& = \sqrt{(-6)^2 + (7)^2} \\& = \sqrt{36 + 49} \\& = \math\boxed{\sqrt{85}} \\\end{aligned}\end{gathered}

d= (1−7) 2+(7−0) 2= (−6) 2+(7) 2 = 36+49=\math 85

∴ since the radical is already in its simplest form, our distance between the two points is equal to √85.

Hope this helps!

Answer:

34 I plus the word like in number it self

1a) The total direct manufacturing cost incurred to make 14,000 units is $187,600.

1b) The total indirect manufacturing cost incurred to make 14,000 units is $74,200.

2a) The total manufacturing cost directly traceable to the Manufacturing Department is $187,600.

2b) The total manufacturing cost, which is an indirect cost, that cannot be easily traced to the Manufacturing Department is $74,200.

3a) When the company sells 14,000 units, the total direct selling expense, which can be readily traced to individual sales representatives, is $18,200.

3b) When the company sells 14,000 units, the total indirect selling expense, which cannot be readily traced to individual sales representatives, is $14,000.

4a) The total manufacturing cost directly traceable to the Manufacturing Department per unit is $13.40.

4b) The total manufacturing cost, which is an indirect cost, that cannot be easily traced to the Manufacturing Department per unit is $5.30.

3a. Sales commissions per unit is $1.30.

3a. The number of units sold is 14,000 units.

3a. Total sales commission is $18,200.

3a. Fixed portion of sales representatives’ compensation is $14,000.

3a. Total direct selling expense is $18,200.

3b. The total indirect selling expense is $14,000.

Relevant production range = 12,000 to 16,000 units

Production and sales units = 14,000 units

                                                  Average Cost

                                                       per Unit

Direct materials                                $ 7.30

Direct labor                                      $ 4.30

Variable manufacturing overhead  $ 1.80

Direct cost per unit                         $13.40

Fixed manufacturing overhead     $ 5.30

Total manufacturing cost per unit $18.70

Fixed selling expense                   $ 3.80    $53,200 ($3.80 x 14,000)

Fixed administrative expense      $ 2.80     $39,200 ($2.80 x 14,000)

Total fixed costs per unit               $6.60     $92,400 ($6.60 x 14,000)

Variable selling and admin:

Sales commissions                        $ 1.30

Variable administrative expense $ 0.80

Total variable selling and admin per unit = $2.10

1a) The total direct manufacturing cost incurred to make 14,000 units is $187,600 ($13.40 x 14,000).

1b) The total indirect manufacturing cost incurred to make 14,000 units is $74,200 ($5.30 x 14,000).

2a) The total manufacturing cost directly traceable to the Manufacturing Department is $187,600 ($13.40 x 14,000).

2b) The total manufacturing cost, which is an indirect cost, that cannot be easily traced to the Manufacturing Department is $74,200 ($5.30 x 14,000).

3) Fixed selling expenses =  $53,200 ($3.80 x 14,000)

Advertising expenses = $39,200

Sales Compensation = $14,000 ($53,200 - $39,200)

Sales Commission = $18,200 ($1.30 x 14,000)

Total Salespersons' compensation = $32,200

a) When the company sells 14,000 units, the total direct selling expense, which can be readily traced to individual sales representatives, is $18,200.

b) When the company sells 14,000 units, the total indirect selling expense, which cannot be readily traced to individual sales representatives, is $14,000.

4a) The total manufacturing cost directly traceable to the Manufacturing Department per unit is $13.40.

4b) The total manufacturing cost, which is an indirect cost, that cannot be easily traced to the Manufacturing Department per unit is $5.30.

3a. Sales commissions per unit is $1.30.

3a. The number of units sold is 14,000 units.

3a. Total sales commission is $18,200 (14,000 x $1.30)

3a. Fixed portion of sales representatives’ compensation is $14,000.

3a. Total direct selling expense is $18,200.

3b. The total indirect selling expense is $14,000.

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(d) the Present United States is not a good example of a command economy.

A command economy is a crucial component of a political system in the economy in which the degree of output that is permitted and the prices that may be paid for goods and services are set by a central governing body. Most industries are owned by the public.

The principal alternative to a command economy is a free market b where supply and demand determine prices and output.

A communist political system includes a command economy, whereas capitalist countries have a free market.

Cuba, North Korea, and the former Soviet Union all have command economies. Up until 1978, when it started to shift to a mixed economy that combines communist and capitalist features, China maintained a command economy. A socialist market economy has been used to characterize its existing setup.

The central government of a country must possess and manage the means of production in a command economy, commonly referred to as a planned economy.

There is no private ownership of land or capital, or it is very restricted. Prices are determined by central planners, who also manage production levels and restrict or forbid competition in the private sector. There is no private sector in a command economy because all companies are owned by or under the supervision of the central government.

Government officials establish national economic priorities in a command economy, such as when and how to promote economic growth, how to share resources, and how to disperse the produce. This frequently takes the shape of a long-term plan.

Hence, the United States today is not a very good example of a command economy.

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Answer:

each takes 3 together 3x3=9

Answer:

Below in bold.

Step-by-step explanation:

A = value of y when x = -1:

A = -2(-1)^2 + 4(-1) + 9

   = -2*1 - 4 + 9

   = -2 - 4 + 9

   = 3.

B = value of y when x = 2:

B = -2(2)^2 + 4(2) + 9

   = -2*4 + 8 + 9

   = - 8 + 8 + 9

    = 9.

Answer:

2.5 & 3.5

Step-by-step explanation:

152 = 12+96t- 16t²

140+96t- 16t²=0

152 = 12+96t- 16t²

4t²-24t+35=0

(2t-7)(2t-5)=0

t = 2.5 & 3.5

The value of the functions are:

f(2) = 9

f(2) = -11

Use the concept of fucntion defined as:

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output.

The given function is,

f(x) = 4x+1

Put x = 2 in the given fucntion,

f(2) = 4(2) + 1

f(2) = 9

Put x = -3 in the given fucntion,

f(2) = 4(-3) + 1

f(2) = -11

Hence, The functions,

f(2) = 9

f(2) = -11

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in the figure, the first number line goes with x [tex]\leq[/tex]5

the second number line goes with x [tex]\geq[/tex] 5

the third number line goes with x > 5

the fourth number line goes with x < 5

Two less than 3/2 of a number x is  no more than 5/2 is shown as:

3/2 x- 2 [tex]\leq[/tex] 5 1/2

3/2 x [tex]\leq[/tex] 11/2 + 2

3/2 x [tex]\leq[/tex] 15/2

3x [tex]\leq[/tex] 15

x [tex]\leq[/tex] 5

The sum of two times a number (x) and -2 is at least 8 is shown as :

2x+(-2) [tex]\geq[/tex] 8

2x - 2 [tex]\geq[/tex] 8

2x [tex]\geq[/tex] 8+2

2x [tex]\geq[/tex] 10

x [tex]\geq[/tex] 5

Seven subtracted from 4 times a number (x) is more than 13 is shown as

4x -7 > 13

4x > 13+7

4x > 20

x > 20 ÷ 4

x > 5

Four added to 3 times a number (x) is less than 19 is shown as

3x + 4 < 19

3x < 19-4

3x < 15

x < 15 ÷ 3

x< 5

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The expression involving fractions that have a quotient less than 1 is: 2. 3 ⅛ ÷ 2 ⅖

To solve each of the expressions involving fractions, convert mixed fractions into improper fractions before finding the quotient of each.

1. 4 ⅔ ÷ 5 ¼

Convert to improper fractions

14/3 ÷ 21/4

14/3 × 4/21

= 56/63 (less than 1)

2. 3 ⅛ ÷ 2 ⅖

Convert to improper fractions

25/8 ÷ 12/5

25/8 × 5/12

125/96 (greater than 1)

3. 1 6/7 ÷ 2 1/3

13/7 ÷ 7/3

13/7 × 3/7

= 39/49 (less than 1)

4. 5 3/4 ÷ 7 ⅜

23/4 ÷ 59/8

23/4 × 8/59

= 184/236 (less than 1)

Therefore, the expression involving fractions that have a quotient less than 1 is: 2. 3 ⅛ ÷ 2 ⅖

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Answer:

10

Step-by-step explanation:

[tex]x=0 \implies x\in \{-15, -12, 0, 10\} \\ \\ \therefore f(0)=11-|0-1|=10[/tex]

Greetings from Brasil...

In a trigonometric function of Cosine, we have:

where

A = move the graph up or down

B = change the amplitude

M = change period

N = move the graph left or right without distorting it

According to the statement, we don't have A and N, so

F(X) = ± B.COS(MX)

According to the graph presented, we have:

B = amplitude = 2.5 = 5/2

period = π

detail that

Period = 2π/M

π = 2π/M ⇒ M = 2

As B = 5/2 and M = 2, then

(I used the cosine function, because in X = 0  Y will have a non-zero value, as we can see in the graph)

The maximum and minimum value of η at q = 10 and q = 85 respectively.

The demand equation is p = 190/ (q + 10) where 10 < 0 < 85.

η is the elasticity of demand.

Then, the elasticity of demand is given as:

η = ( dq/ dp) × ( p / q )

Now, we have p = 190/ (q + 10)

Therefore,

p ( q + 10 ) = 190

pq + 10p = 190

q = ( 190 - 10p ) / p

Now,

dq / dp = ( d/dp ) ( ( 190 - 10p ) / p )

dq / dp =  ( -190/ p² )

Substituting these values in the elasticity demand,

η = ( dq/ dp) × ( p / q )

η = ( -190/ p² ) × ( p / q )

η = ( -190/ pq )

η = ( -190/ [190 / (q + 10 ) ]q )

η = [ - ( q + 10 ) / q ]

| η | = | - ( q + 10 ) / q |

η =  ( q + 10 ) / q = 1 + 10/q

The critical point is when | η' | = 0.

η' = ( d / dq ) ( 1 + 10/q )

η' = - 10/ q²

- 10/ q² = 0

Hence, - 10/ q² is not defined.

Therefore, the function is not defined at q = 0.

Therefore, q = 0 is not a solution.

We have 10 ≤ q ≤ 85

The value of functions at the endpoint,

At q = 10,

η = ( 1 + 10/q )

η = ( 1 + 10/10 )

η = 1 + 1 = 2

At q = 85,

η = ( 1 + 10/q )

η = ( 1 + 10/85 )

η = 1.11764

Therefore, the absolute value of the elasticity of demand is maximum at q = 10.

The absolute value of the elasticity of demand is minimum at q = 85.

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Step-by-step explanation:

23.3 million = 58%

1% = 58%/58 = 23.3 mil. / 58

100% = 1%×100 = 100×23.3 mil./58 =

= 2,330,000,000/58 = 40,172,413.79... ≈

≈ $40 millions