2 - b/3 = -5/2
Solve for b

Answer:

There are 6 employees in the factory

The amount of money distributed to the employees = 5000 soles

To solve the problem without using equations, We would try different numbers for the employees starting from 2 employees.

Question:

A textile entrepreneur from Gamarra wants to distribute a productivity bonus among his employees for his good

performance in the week. Making calculations, he realizes that if he gave each one 800 soles, he would have

200 leftovers , and if he gave them 900 soles, he would lack 400. How many employees are there in your factory? How much money do you have to distribute? How would you solve the problem without using equations?

Step-by-step explanation:

For the first two questions, we would determine the number of employees that are in the factory and the amount of money that was distributed by solving using equations. Each statement would be written in the form of an equation.

Let the amount of money distributed to the employees = p

The number of employees in the factory = q

First statement showing the relationship of the variables:

800q + 200 = p ...equation 1

2nd statement showing the relationship of the variables:

900q - 400 = p ...equation 2

Equating both equations: p = p

800q + 200 = 900q - 400

900q-800q = 200+400

100q = 600

q = 600/100 = 6

Substitute for q = 6 in any if the equation.

Using equation 1

800(6) + 200 = p

p = 5000

Therefore, the amount of money distributed to the employees = 5000soles

The number of employees in the factory = 6

To solve the problem without using equations, We would try different numbers for the employees starting from 2 employees (as they are more than 1) to arrive at a particular amount distributed:

(800×2) + 200 = 1800

(900×2) - 400 = 1400

By increasing the numbers using consecutive even numbers (2,4,6...) and multiplying, we would arrive at a value that is equal to both.

Answer:

x=

47

2

Step-by-step explanation:

Polynomial are expressions. The factored form of the polynomial 12x³–9x²–4x+3 is (3x²-1)(4x-3).

Polynomial is an expression that consists of indeterminates(variable) and coefficient, it involves mathematical operations such as addition, subtraction, multiplication, etc, and non-negative integer exponentials.

In order to find the factored form of the given polynomial, we will bring the common factors out from the terms of the polynomials.

Therefore, the solution of the polynomial is,

\(12x^3 - 9x^2 - 4x+ 3 \\\\= 3x^2(4x-3)-1(4x-3)\\\\= (3x^2-1)(4x-3)\)

Hence, the factored form of the polynomial 12x³–9x²–4x+3 is (3x²-1)(4x-3).

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Answer:

3
1
4
3

Step-by-step explanation:

The integral of \(\( \frac{{5x^4 + 7x^2 + x + 2}}{{x(x^2 + 1)^2}} \)\) with respect to x  is \(\( \frac{{5}}{{2(x^2 + 1)}} + \frac{{3}}{{2(x^2 + 1)^2}} + \ln(|x|) + C \)\), where C represents the constant of integration.

To evaluate the integral, we can use the method of partial fractions. We begin by factoring the denominator as \(\( x(x^2 + 1)^2 = x(x^2 + 1)(x^2 + 1) \)\). Since the degree of the numerator is smaller than the degree of the denominator, we can rewrite the integrand as a sum of partial fractions:

\(\[ \frac{{5x^4 + 7x^2 + x + 2}}{{x(x^2 + 1)^2}} = \frac{{A}}{{x}} + \frac{{Bx + C}}{{x^2 + 1}} + \frac{{Dx + E}}{{(x^2 + 1)^2}} \]\)

To determine the values of \(\( A \), \( B \), \( C \), \( D \), and \( E \)\), we can multiply both sides of the equation by the denominator and then equate the coefficients of corresponding powers of x. Solving the resulting system of equations, we find that \(\( A = 0 \), \( B = 0 \), \( C = 5/2 \), \( D = 0 \),\) and \(\( E = 3/2 \)\).

Integrating each of the partial fractions, we obtain \(\( \frac{{5}}{{2(x^2 + 1)}} + \frac{{3}}{{2(x^2 + 1)^2}} + \ln(|x|) + C \)\) as the final result, where C is the constant of integration.

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Answer: Just times 3

For example

If a box cost 6$

Just do 6 times 3

which equals 18

Step-by-step explanation:

Answer

depends on how much each one cost you put $x so whatever that number is supposed to be times 3 then you get your answer

Step-by-step explanation:

comment what the number is and I'll let you now if you want

Answer:

Step-by-step explanation:

6. Complementary angles add up to 90 degrees

m<S is 52

90-52= 38

m<R is 38

38=3x+2

-2

3x=36

x=12

7.

Lines are always equal to 180

(5x+1)+(12x-8)=180

17x-7=180

+7

17x=187

x=11

8.

These angles are equal to each other '

79= 4x+15

-15

64=4x

x=16

Hope this Helps!

Answer:=−7

Step-by-step explanation:

−5=−12

Add 5 to both sides of the equation

−5+5=−12+5

=−12+5

=−7

After 7 years  the laptop computer will be worth $200 or less.

Given:

A laptop computer is purchased for $1400 .

Each year, its value is 75%  of its value the year before.

After how many years will the laptop computer be worth $200  or less = ?

1400(0.75)t≤ 200

0.75t  ≤ 1/7

ln(0.75t) ≤ ln(1/7)

tln(0.75) ≤ ln(1/7)

t ≥ ln(1/7)/ln(0.75)

t ≥ 6.76

The natural log of a number between 0 and 1 is negative, and dividing by a negative switches the sign.

So, after 7 years, the laptop computer will be worth $200 or less.

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A) The measure of central tendency that best describes the data for time spent on the internet (min/day) is the median.

The median is the middle value in a set of data when the data is arranged in numerical order. In this case, the data arranged in numerical order is 38, 43, 48, 52, 65, 75, 120. The median value is 52, which is the middle value in the data set.

B) The measure of central tendency that best describes the data for the weight of books (oz) is the mode. The mode is the value that occurs most frequently in a data set. In this case, the data is 12, 10, 9, 15, 16, 10. The mode is 10, as it occurs twice in the data set and is the most frequent value.

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The given equation, 16x² - y² + 16z² = 4, represents a quadric surface known as an elliptic paraboloid.

To determine the classification, we can examine the coefficients of the squared terms. In this case, the coefficients of x², y², and z² are positive, indicating that the surface is bowl-shaped. Additionally, the signs of the coefficients are the same for x² and z², indicating that the bowl opens upward along the x and z directions.

The negative coefficient of y², on the other hand, means that the surface opens downward along the y direction. This creates a cross-section in the shape of an elliptical parabola.

Considering these characteristics, the given equation represents an elliptic paraboloid.

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Answer:

C

Step-by-step explanation:

Hope this is right. Let me know if not! Have a nice day :)

Answer:

C

Step-by-step explanation:

i got it right

If each car in the parking has only one color , then the option which cannot be the probability that the selected car will be green is 0.6 , the correct option is (c) .

In the question ,

it is given that ,

total numbers of car in the parking lot = 200 cars

number of white cars = 50

number of red cars = 30

number of silver cars = 20

let the number of green cars be "x" ,

So , the number of green cars possible = 200 - 100 = 100

that means x ≤ 100 .

So , P(green) = x/200

Option(a)

p = 0.2 ,

So , x/200 = 0.2

x = 40

Option(b)

p = 0.1 ,

So , x/200 = 0.1

x = 20

Option(c)

p = 0.6 ,

So , x/200 = 0.6

x = 120

Option(d)

p = 0.5 ,

So , x/200 = 0.5

x = 100 ,

We can see that only option(c) gives the number of green cars as 120 , which is not possible .

Therefore , If each car in the parking has only one color , then the option which cannot be the probability that the selected car will be green is 0.6 , the correct option is (c) .

The given question is incomplete , the complete question

In a parking lot with 200 cars, 50 cars are white, 30 cars are red, and 20 cars are silver. one car will be selected at random from the parking lot. if each car in the parking has only one color, which of the following cannot be the probability that the selected car will be green ?

(a) 0.2

(b) 0.1

(c) 0.6

(d) 0.5

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Answer:

8 units because the diameter is the side to side length of the circle so when you count it you get 8 units.

Answer:

3/4 or 1/4 stays

Step-by-step explanation:

Step-by-step explanation:

measure of the complement of??????

Answer:

the rest of the question???

Step-by-step explanation:

Answer:

The person on the Ferris wheel will be 63 ft above the ground at;

Explanation:

Given that the height of the function can be modeled using the function;

For the person to be 63 ft above the ground;

solving further;

Therefore, the person on the Ferris wheel will be 63 ft above the ground at;

The point estimate for the population mean of mpg of a hybrid car is 28.

To determine the point estimate for the population mean of mpg (miles per gallon) of a hybrid car, we can take the midpoint of the confidence interval.

Given that the 95% confidence interval is (21, 35), the point estimate would be the average of the lower and upper bounds of the interval.

Therefore, the point estimate for the population mean of mpg of a hybrid car is 28.

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The point estimate for the mean mpg of hybrid cars is 30 mpg.

A confidence interval has two bounds, a lower bound and an upper bound.

A confidence interval is symmetric, which means that the point estimate used is the mid point between these two bounds, that is, the mean of the two bounds.

In this problem, we have that:

Lower bound: 21

Upper bound: 35

Point Estimate: (21+35)/2

= 56/2 = 28

Therefore, the point estimate for the mean mpg of hybrid cars is 28 mpg.

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Answer:11

Step-by-step explanation:

(i) The highest exponent on the variable x is 2. Therefore, the degree of the polynomial is 2. (ii) There are no x-intercepts for this polynomial. (iii) Since there are no x-intercepts, there is no intercept to be determined for this polynomial.

For the polynomial function \(y = x^2 + 169\):

(i) Degree of the polynomial:

The highest exponent on the variable x is 2. Therefore, the degree of the polynomial is 2.

(ii) All intercepts:

To find the intercepts, we set y = 0 and solve for x.

When y = 0:

\(x^2 + 169 = 0\)

This equation has no real solutions because the term x^2 is always non-negative, and adding 169 to it will result in a positive value. Therefore, there are no x-intercepts for this polynomial.

(iii) The intercept:

Since there are no x-intercepts, there is no intercept to be determined for this polynomial.

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D. The set W would be a subspace of set of real numbers R cubed.

For a set to be considered a vector space, it must satisfy the following conditions:

1. It contains the zero vector (the additive identity).

2. It is closed under vector addition.

3. It is closed under scalar multiplication.

Since the set W is a subset of R cubed, it inherits the properties of R cubed, including the zero vector. Therefore, option C is not true.

Options A and B are not necessarily true for all subsets of R cubed. They may hold for some specific subsets, but they are not general properties that apply to all subsets.

Option D is the correct answer because it states that the set W would be a subspace of R cubed. A subspace is a subset of a vector space that is itself a vector space, satisfying all the properties of a vector space. Since W is a subset of R cubed, it would be a subspace if it satisfies the three conditions mentioned above.

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The group who has the largest percentage of people who prefer to travel by automobile is given as follows:

Adult.

A bar graph, also known as a bar chart, is a type of graph used to represent and compare data. It consists of rectangular bars of equal width and varying heights, where the height of each bar represents the value of the data being graphed.

Automobiles are represented by the green bars, hence we must observe the input for which the green bar has the largest value, which is for adults, hence adults compose the largest percentage of people who prefer to travel by automobile.

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Answer:

He flew for 3 hours

Step-by-step explanation:

in this question we can use the formula :

\( \boxed{t = \frac{s}{v}} \)

t is time

s is distance

v is Speed

_________________

We know that :

v = 12 miles/hour

s = 36 miles

So :

\( t = \frac{s}{v} = \frac{36}{12} \)

\( \boxed{t = 3 \: hours}\)

______________________

Okay, here we have this:

We obtain the following expression to find the percentage increase:

Percentage increase=((New Price - Originial Price)/Original Price)*100

Let's replace:

Percentage increase=((9.71-9.58)/9.71)*100

Percentage increase≈%1.339

Rounded to the nearest tenth we obtain that the percentage increase is %1.0

Answer:

Perimeter = 62.84 ft

Explanation:

The perimeter of the figure is the length of the blue line:

So, we know the length of some parts of the blue line but the part that surrounds the semicircle is missing. So, we can calculate the length of that part using the following equation:

Where π is approximately 3.14 and r is the radius of the circle, in this case, 6 ft. So, the perimeter of the semicircle is:

Therefore, the perimeter of the figure is:

Perimeter = 16 ft + 12 ft + 16 ft + 18.84 ft

Perimeter = 62.84 ft

Check the picture below.

\(\textit{area of a segment of a circle}\\\\ A=\cfrac{r^2}{2}\left( ~~ \cfrac{\pi \theta }{180}-\sin(\theta ) ~~ \right) \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=8\\ \theta =60 \end{cases} \\\\\\ A=\cfrac{8^2}{2}\left( ~~ \cfrac{\pi (60) }{180}-\sin(60^o ) ~~ \right)\implies A=32\left( ~~ \cfrac{\pi }{3}-\sin(60^o ) ~~ \right) \\\\\\ A=32\left( ~~ \cfrac{\pi }{3}-\cfrac{\sqrt{3}}{2} ~~ \right)\implies A=\cfrac{32\pi }{3}-16\sqrt{3}\implies A\approx 5.8~in^2\)

Respuesta:

5250

Explicación paso a paso:

Dado que :

Importe del préstamo, principal, p = 35000

Tasa de interés, r = 3% = 0.03

Tiempo, t = 5 años

Usando la fórmula de interés simple:

Interés = principal * tasa * tiempo

Interés = 35000 * 0.03 * 5

Intereses = 5250 pesos

Answer:

2×2×3×3×3

Step-by-step explanation:

●108=

•2×54

•2×27

•3×9

• 3×3

Writing the prime numbers;

108=2×2×3×3×3

Answer:

i need help on that question  too

Step-by-step explanation:

Answer:

B) 3b. 10b

Step-by-step explanation:

B) 3b. 10b = (3x10)(bxb) = 30b²

Answer:

3 because your domain should not repeat

Assume that there exists a smallest positive real number, call it x. Then, consider the number x/2. Since x is the smallest positive real number, x/2 is not positive, which is a

contradiction.

To prove that there does not exist a smallest positive real number, we will use a proof by contradiction. Suppose that there exists a smallest positive real number, call it x. Then, consider the number x/2. Since x is positive, x/2 is also positive. However, x/2 is smaller than x, which contradicts the assumption that x is the smallest positive real number. Therefore, our assumption that there exists a smallest positive

real number

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