How much greater is - 31 than -62.09?

Answer:

Fraction = \(\frac{19}{50}\)

Decimal = 0.38

Percent = 38%

Step-by-step explanation:

Number of shaded rectangles = 38

Total number of rectangles = 100

Fraction represented by the shaded area = \(\frac{\text{Number of blocks shaded}}{\text{Total number of blocks}}\)

                                                                     = \(\frac{38}{100}\)

                                                                     = \(\frac{19\times 2}{50\times 2}\)

                                                                     = \(\frac{19}{50}\)

Decimal form of the shaded area = \(\frac{38}{100}\) =  0.38

Percent of the shaded area = \(\frac{38}{100}\) = 38%

Answer:

Fraction =

Decimal = 0.38

Percent = 38%

Step-by-step explanation:

Number of shaded rectangles = 38

Total number of rectangles = 100

Fraction represented by the shaded area =

                                                                    =

                                                                    =

                                                                    =

The decimal form of the shaded area =  =  0.38

Percent of the shaded area =  = 38%

Answer:

\(\mathbf{4 \lim \limits _{n \to \infty} \sum \limits ^n_{i=1} \Big ( \dfrac{n(n+4i)}{2n^3 +(n+4i)^3} \Big )}\)

Step-by-step explanation:

Given integral:

\(\int ^5_1 \dfrac{x}{2+x^3} \ dx\)

\(\mathbf{Using \ Riemann \ sums; \ we \ have: }\)

\(\int ^b_a \ f(x) \ dx = \lim_{n \to \infty} \sum \limits ^n_{i =1} \ f( a + i \Delta x) \Delta x\)

\(here; \ \Delta x = \dfrac{b-a}{n}\)

∴

\(\int ^5_1 \dfrac{x}{2+x^3} \ dx = f(x) = \dfrac{x}{2+x^3}\)

\(\implies \Delta x = \dfrac{5-1}{n} =\dfrac{4}{n}\)

\(f(a + i \Delta x ) = f ( 1 + \dfrac{4i}{n})\)

\(f( 1 + \dfrac{4i}{n}) = \dfrac{n^2 ( n+4i)}{2n^3 + (n + 4i)^3}\)

\(\lim_{n \to \infty} \sum \limits ^n_{i=1} \ f(a + i \Delta x) \Delta x = \lim_{n \to \infty} \sum \limits ^n_{i=1} \Big ( \dfrac{n^2(n+4i)}{2n^3 +(n+4i)^3} \Big )\dfrac{4}{n}\)

\(\mathbf{= 4 \lim \limits _{n \to \infty} \sum \limits ^n_{i=1} \Big ( \dfrac{n(n+4i)}{2n^3 +(n+4i)^3} \Big )}\)

Answer:

if u just scan that with photo math it will give u answer and explanation :) hope that helped i am sorry i don't know the anwswer

Step-by-step explanation:

The  volume of rectangular prism is 90 unit³.

We can consider the 1 block = 1 unit.

Length of prism = 5 unit

width of prism = 6 unit

Height of prism = 3 unit

So, Volume of rectangular prism

= l w h

= 5 x 6 x 3

= 90 unit³

Thus, the volume of rectangular prism is 90 unit³.

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Answer:

me too (help)

Step-by-step explanation:

If $4527 is invested at 7.95% for 4 years, find the future value if the interest is compounded semi-annually. Round to the

nearest cent.

Remember that

The compound interest formula is equal to

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest  in decimal

t is Number of Time Periods

n is the number of times interest is compounded per year

in this problem we have

P=$4,527

r=7.95%=0.0795

t=4 years

n=2

substitute the given values

therefore

the three friends spent L.120.00, L.240.00, and L.360.00, respectively.

How to solve the problem?

Let's denote the amount that Alicia spends as "x". According to the problem statement, we know that Juan spends twice as much as Alicia, which means he spends 2x. Similarly, we know that Ana spends three times as much as Alicia, which means she spends 3x.

We also know that the three friends together have spent L.720.00. So, we can set up an equation to represent this:

x + 2x + 3x = 720

Simplifying this equation, we get:

6x = 720

Dividing both sides by 6, we get:

x = 120

So, Alicia spent L.120.00, Juan spent twice as much as Alicia, which is L.240.00, and Ana spent three times as much as Alicia, which is L.360.00.

Therefore, the three friends spent L.120.00, L.240.00, and L.360.00, respectively.

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Answer:

For every 4 legs there is 1 tail:

4 legs : 1 tail

4 : 1

For every 1 tail there is 4 legs:

1 tail : 4 legs

1 : 4

The unit cost C depends on the number of engines made. If x engines are made, then the unit cost is given by the function:

C(x)=0.2x²+ 248x +21,748 is $12917, which is the minimum unit cost.

Unit cost, also known as the break-even point, is the lowest price at which a company must sell a product to avoid losses. For example, a product with a breakeven unit cost of $10 per unit must sell above that price. Revenues above this price constitute the company's profit.

The calculates the unit cost of production as the break-even point. This cost constitutes the base price that the company uses to determine its market price.

In general, a unit must sell for more than its unit cost to generate a profit. For example, a company manufactures 1,000 units of a product that costs $4 each and sells them for $5 each. The profit is $5 minus $4, or $1 per unit of income. If a unit is priced at $3 per unit, there is a loss because $3 minus $4 (cost) is a loss of $1 per unit.

By the definition of average cost, we know it is the ratio of the total cost to the number of manufactured products. The total cost here is also termed as unit cost, which is equal to the sum of fixed cost and variable cost.

Hence, Average cost = Total cost/Number of units

                                    =  (Fixed cost + Variable cost)/Number of units.

According to the Question:

The minimum unit cost is $12197.

Take the derivative and set = 0  solve for x

C'(x) = 2x -360 = 0

x = 180 engines

C(180)  = (180)² -360(180) + 44,597

           = 44,597 - 32400

           = $12,197  minimum cost.

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Answer:

-3x^2 +7x -4

-------------------------------

(x-3)(x-2)(x+3)

Step-by-step explanation:

2              3x

--------   - ----------

X^2-9    x^2 -5x+6

Factor

2                 3x

--------   -      ----------

(x-3)(x+3)   (x-3)(x-2)

Get a common denominator

2  (x-2)               3x(x+3)

--------   -             ----------

(x-3)(x+3)(x-2)   (x-3)(x-2)(x+3)

2x-4  - (3x^2 -9x)

-------------------------------

(x-3)(x-2)(x+3)

Distribute

2x-4  - 3x^2 +9x

-------------------------------

(x-3)(x-2)(x+3)

Combine like terms

-3x^2 +7x -4

-------------------------------

(x-3)(x-2)(x+3)

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Answer:

D. Bank charges a large fee for bouncing a check is not an example of overdraft protection.

Step-by-step explanation:

Overdraft protection is a service offered by banks that allows you to link your checking account to another account, such as a savings account or a line of credit. If you overdraw your checking account, the bank will automatically transfer funds from the linked account to cover the shortfall, which helps you avoid overdraft fees and other penalties.

Option A is not an example of overdraft protection as it refers to earning interest on money in your savings account, which is a separate service.

Option B refers to additional fees collected by the bank when you bounce a check, which is a penalty for not having sufficient funds in your account to cover the check.

Option C refers to an ATM machine providing you with cash, which is a basic function of an ATM and is not related to overdraft protection.

Answer:

2/4-5

Step-by-step explanation:

Answer:

6x+8y

Step-by-step explanation:

You need to distribute the 2 into the values in the parentheses.

So it's 2(3x) + 2(4y)

Then just solve those.

The solution by substituting 15 for b in the Original equation. The answer is true.

The steps needed to solve the equation b + 6 = 21 are:

Subtract 6 from both sides of the equation: b + 6 - 6 = 21 - 6, which simplifies to b = 15.

Check the solution by substituting 15 for b in the original equation: 15 + 6 = 21, which is true.

Therefore, the correct steps to solve the equation are:

Subtract 6 from both sides of the equation. The answer is b = 15

the solution by substituting 15 for b in the original equation. The answer is true.

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Revenue function will be 17352.5

What do you mean by algebraic expression?

The concept of algebraic expressions is the use of letters or alphabets to represent numbers without providing their precise values. We learned how to express an unknown value using letters like x, y, and z in the fundamentals of algebra. Here, we refer to these letters as variables. Variables and constants can both be used in an algebraic expression. A coefficient is any value that is added before a variable and then multiplied by it.

It is given that,

Cost of each MP3 player plus = $16

Additional cost = $16380

Fixed cost for each MP3 player = $250

Let C(x),P(x), R(x) be the cost function, profit function and revenue function respectively.

Let x be number of units of mp3 produced and sold

R(x)= 250x   is required revenue function

We know that, C(x)= variable cost+ fixed cost

C(x)=16x+16380 is the required cost function  

We know that, profit= revenue-cost

P(x)=R(x)-C(x)

P(x)= 250x-[16x+16380]=250x-16x-16380 = 236x-16380

We know that break even point occur when revenue function and cost function has same value.

R(x)=C(x)

250x=16x+16380

250x-16x=16380

236x=16380

x = 16380/236 = 69.41

Revenue function, R(x) = 250x = 250(69.41) = 17352.5

Therefore, revenue will be $17352.5

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The number 31 2/3% in fraction form is,

⇒ 95/300

And, In reduced form is,

⇒ 19/60

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Given that;

The number is,

⇒ 31 2/3%

Now, We can change in fraction as;

⇒ 31 2/3%

⇒ 95/3%

⇒ 95/3×100

⇒ 19/3×20

⇒ 19/60

Hence, The number in fraction form is,

⇒ 95/300

And, In reduced form is,

⇒ 19/60

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Answer:

Either, (9+√69)/6 or (9-√69)/6

Step wise:

3x²-9x+1=0-------------------(i)

comparing equation onw with (ax²+bx+c=0), we get,

a=3, b=-9, c=1

now,

using Quadratic Formula,

(-b±√b²-4ac)/2a=x

{-(-9)±√(-9)²-4.3.1}/2.3=x

(9±√81-12)/6=x

(9±√69)/6=x

Taking +(ve) sign                   Taking -(ve) sign

(9+√69)/6=0                           (9-√69)/6=0

∴(9+√69)/6=0                         ∴(9-√69)/6=0

[∵They cannot be further solved]

The solutions to the given quadratic equation are x = 2.884 and

x = 0.116.

The equation of the form ax² + bx +c is known as a quadratic equation.

The given equation is 3x² - 9x + 1 =0.

Solve the equation as follows:

3x² - 9x + 1 =0

Use the quadratic formula to solve the equation:

\(x = \frac{-(-9)\pm\sqrt{(-9)^2-4(3)(1)}}{2(3)}\\\\x= \frac{9\pm\sqrt{81-12}}{6}\\\\x=\frac{9\pm\sqrt{69}}{6}\\\\x = \frac{9\pm8.306}{6}\\\\x=\frac{9+8.306}{6}\quad\text{ or }x=\frac{9-8.306}{6}\\\\x=2.884\quad\text{ or }x=0.116\)

Hence, the solutions to the given quadratic equation are x = 2.884 and

x = 0.116.

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The equilibrium point for James T-shirt business is (P, Q) = (7, 24).

To find the equilibrium point (P, Q) for James T-shirt business

we need to set the demand function equal to the supply function and solve for the values of P and Q.

Demand function: P = -Q + 31

Supply function: P = Q - 17

Setting them equal:

-Q + 31 = Q - 17

Adding Q to both sides and subtracting 31 from both sides:

2Q = 48

Dividing both sides by 2:

Q = 24

Now, we can substitute this value of Q into either the demand or supply function to find the corresponding value of P.

P = Q - 17

P = 24 - 17

P = 7

Therefore, the equilibrium point for James T-shirt business is (P, Q) = (7, 24).

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Answer:

when you ask multiple questions at once, it feels more like i'm doing your HW for you, not that i'm  helping you understand , i'll answer these but you really should have been able to do these if you really did all the others.  Did you just get tired out?  Why can't you do 4, 6, 8?  what is it that you don't understand?

Step-by-step explanation:

4)   old price = 120   to new price = 240

they ask what is the percent change

How much is the change ( in amount )

the "How much is obvious right?  Old price 120 , new price 240.. change is $120

the percent is   change / old price = 120 / 120  = 1  and to put it in percent , multiply by 100 , so 100 % change

6) old price = 250   amount of change -100

so what percent of 250 is 100  

100 / 250 = 0.4   to get it in percent multiply by 100  = 40%

  old price + change = new price

250 +  ( -100)  =  150   new price is $150

8) 5% mark up  , amount of change = $2.50

so 5% of what = 2.50 ?

X* 5% = 2.5

X* 0.05 = 2.5

X=2.5/0.05

X= $50  was the old price

old price + amount change = new price

50 + 2.50 = 52.50

$52.50 is the new price

Answer:

We conclude that an equation in the point-slope form will be:

y+5 = -2/5 (x+3)

Hence, option A is true.

Step-by-step explanation:

We know that the point-slope form of the line equation is

\(y-y_1=m\left(x-x_1\right)\)

where m is the slope of the line and (x₁, y₁) is the point

Given

substituting the values m = -2/5 and the point (-3, -5) in the point-slope form of the line equation

\(y-y_1=m\left(x-x_1\right)\)

y - (-5) = -2/5 (x-(-3))

y+5 = -2/5 (x+3)

Therefore, we conclude that an equation in the point-slope form will be:

y+5 = -2/5 (x+3)

Hence, option A is true.

well, the reduction in value is £12500 - £11625 = £875.

if we take 12500 to be the 100%, what is 875 off of it in percentage?

\(\begin{array}{ccll} amount&\%\\ \cline{1-2} 12500 & 100\\ 875& x \end{array} \implies \cfrac{12500}{875}~~=~~\cfrac{100}{x} \\\\\\ \cfrac{100}{7}=\cfrac{100}{x}\implies 100x=700\implies x=\cfrac{700}{100}\implies x=7\)

Answer: El porcentaje de reducción exacto es de: 7%, con esto el precio de descuento es de €875.

Answer: 225

basically 15 times 15 is 225 and thats how you do the problem

Answer:

236.625

Step-by-step explanation:

Trust me I had the same problem .

The average rate of change for the interval from x =  7 to x =  8 is 35.  

To calculate the average rate of change for the interval from x =  7 to x =  8, we need to find the difference in y- values and divide it by the difference inx-values within that interval.

Let's calculate it step by step using the given table  

For the interval from x =  7 to x =  8  x1 =  7, y1 = -37  x2 =  8, y2 = -2   Difference in y- values Δy =  y2- y1 = -2-(- 37) =  35  

Difference inx-values Δx =  x2- x1 =  8- 7 =  1  

Average rate of change =  Δy/ Δx =  35/ 1 =  35  

Thus, the average rate of change for the interval from x =  7 to x =  8 is 35.   Note: It's important to mention that the values calculated then are grounded solely on the given data. Please  insure you  corroborate the  delicacy of the  handed data and  environment before using the answer in any important or critical  operations.

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Answer:

volume of a cylindrical water tank = 70,650cm³

Step-by-step explanation:

volume of cylinder, V = πr²h

where π = 3.14

h = 100cm

r = ?

given is diameter = 30cm

r = d/2 = 30/2 = 15cm

substituting the values in the formula,

V = 3.14 * 15² * 100

= 3.14 * 225 * 100

= 70,650cm³                        

Answer:

How much space it would take up: 706.86 square centimeters of floor space and extend vertically to a height of 100 cm

Volume: 706,500 cm³

Step-by-step explanation:

How much space it would take up:

To determine the space occupied by a cylindrical water tank in a room, we need to consider its dimensions and the area it covers on the floor.

The diameter of the tank is given as 30 cm, which means the radius is half of that, 15 cm.

To calculate the space it occupies on the floor, we need to find the area of the circular base. The formula for the area of a circle is A = πr², where A is the area and r is the radius.

A = π(15 cm)²

A = π(225 cm²)

A ≈ 706.86 cm²

So, the circular base of the tank occupies approximately 706.86 square centimeters of floor space.

The height of the tank is given as 100 cm, which represents the vertical space it occupies in the room.

Therefore, the cylindrical water tank would take up 706.86 square centimeters of floor space and extend vertically to a height of 100 cm in the room.

Volume:

To calculate the volume of a cylindrical water tank, we can use the formula V = πr²h, where V is the volume, r is the radius, and h is the height.

First, we need to find the radius by dividing the diameter by 2:

Radius = 30 cm / 2 = 15 cm

Now we can calculate the volume:

V = π(15 cm)²(100 cm)

V = 3.14 * 225 cm² * 100 cm

V = 706,500 cm³

Therefore, the cylindrical water tank will occupy a volume of 706,500 cm³ or 706.5 liters.

The end behavior of the polynomials are as follows;

(a) y = x³ - 9·x² + 8·x - 14

End behavior; y → ∞ as x → ∞

\({}\)                        y → -∞ as x → -∞

(b) y = -8·x⁴ + 13·x + 800

End behavior; y → -∞ as x → -∞

\({}\)                        y → -∞ as x → ∞

The end behavior of a polynomial is the characteristics of the graph of the polynomial as the input (x-values), tends to plus and minus infinity.

The factors that effect the end behavior of a polynomial are;

The degree of the polynomial, (even or odd)

The sign of the leading coefficient of the polynomial (positive or negative)

The leading coefficient is the coefficient of the term with the highest degree.

(a) The polynomial, function, y = x³ - 9·x² + 8·x  - 14

The specified polynomial is a third degree polynomial, with a positive leading coefficient of 1, the end behavior is therefore;

y tends to positive infinity as x tends to positive infinity

y tends to negative infinity as x tends to negative infinity

End behavior;

y → ∞ as x → ∞

y → -∞ as x → -∞

(b) The polynomial function can be expressed as follows;

y = -8·x⁴ + 13·x + 800

The above polynomial of degree 4 is an even degree polynomial

The leading coefficient of the polynomial is -8, therefore, the leading coefficient is negative

The shape of the graph of the polynomial is therefore ∩ shaped, such that the end behavior is as follows;

y-values approaches negative infinity as x approaches negative infinity

y-values approaches negative infinity as x approaches positive infinity

End behavior;

y → -∞ as x → -∞

y → -∞ as x → ∞

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The probability of randomly forming the word "woord logic" is:Probability = 1 / (10! / (2!))

To calculate the probability of forming the word "woord logic" by randomly arranging the letters l, o, g, i, c, we need to consider the total number of possible arrangements and the number of arrangements that result in the desired word.

The word "woord logic" has 10 letters in total. Among these letters, there are 2 o's and the remaining letters appear only once.

The total number of possible arrangements is given by the factorial of the total number of letters:

Total arrangements = 10!

However, since the letter "o" appears twice, we need to divide by the factorial of the number of repeated letters:

Total arrangements = 10! / (2!)

To calculate the number of arrangements that result in "woord logic," we consider that the arrangement of "woord logic" is unique and distinct. Thus, there is only one arrangement that matches the desired word.Simplifying this expression would yield the exact probability.

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Answer: \(A) \ 3\vec{x} -2\vec{y}\)  

Step-by-step explanation:

The resultant can be calculated using triangular law of vector addition as :

\(\rm \vec{r}=\vec{AB} +\vec{AC}=2x+y+x-3y=\boxed{3x-2y }\)

Step-by-step explanation:

Given

Radius (r) = 3 inch

Circumference

= 2πr

= 2 * 3.14 * 3

= 18.84 inch

Now

Area

= π r²

= 3.14 * 3 ²

= 3.14 * 9

= 28.26 inch²

Hope it will help :)

Effectively what you're asking is to solve this equation

x^2 - 12x + 48 = 0

Compare that to this form

ax^2 + bx + c = 0

to find that

Let's compute the discriminant (aka the stuff under the square root in the quadratic formula).

d = b^2 - 4ac

d = (-12)^2 - 4(1)(48)

d = 144 - 192

d = -48

The discriminant is negative, which tells us that there aren't any real numbered solutions to x^2 - 12x + 48 = 0

Therefore, we have no way to factor x^2 - 12x + 48 over the real numbers. Going back at the problem at hand: there aren't any real numbers that (a) multiply to 48 and (b) add to -12.

The two mystery numbers would be complex numbers in the form a+bi, where i = sqrt(-1). If your teacher hasn't covered these types of numbers yet, then you simply would say "no solution".

(a). Because the two angles in the two separate triangles are the same, the third angle will likewise be the same. (b). AB/AD=AC/AE=BC/DE (c). The flag pole stands 15 feet tall (in ft).

Height, as well as how big something or somebody is (how tall they are), is a measure of vertical distance (how "high" a point is). For example, "That building is 50 meters tall," or "It airplane travels at a height of around 10,000 meters."

(a). In ΔABC and ΔADE

∠A = ∠A (common in both triangle)

∠ACB = ∠AED = 90°

∠B = ∠ADE (Because both triangles have the same two angles, the third angle is also the same).

As a result of Angle-Angle-Angle (AAA) The two triangles are similar.

(b). AB/AD = AC/AE = BC/DE

(c). Using AC/AE = BC/DE

6/6+2 = 5/DE

DE = 5 * 18/6

DE = 90/6

DE = 15 feet

Consequently, the flag pole measures 15 feet tall (in feet).

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The complete question is-

Flag Pole In order to estimate the height h of a flag pole, a 5 foot tall male student stands so that the tip of his shadow coincides with the tip of the flag pole’s shadow. This scenario results in two similar triangles as shown in the diagram.

a). Why are the two overlapping triangles similar?

b). Using the similar triangles, write a proportion that models the situation.

c). What is the height h (in feet) of the flag pole?