Find the solution(s) to 2x² + 5x-3 = 0. Check all that apply.

A. x = -3
B. x = 1/2
C. x = -1/2
D. X = 2
E. x = 3

Answer:

Step-by-step explanation:

x/2.2=310/5.6

x=2.2(310)/5.6

x=121.785

x=121.8

The maintenance cost expected to be incurred during July is $9,400. This corresponds to option C in the given choices.

To determine the maintenance cost expected to be incurred during July, we need to substitute the planned machine time of 9,000 hours into the cost formula Y = $5,800 + $0.40X.

Plugging in X = 9,000 into the formula, we get:

Y = $5,800 + $0.40(9,000)

Y = $5,800 + $3,600

Y = $9,400

Therefore, the maintenance cost expected to be incurred during July is $9,400. This corresponds to option C in the given choices.

The cost formula Y = $5,800 + $0.40X represents the fixed cost component of $5,800 plus the variable cost component of $0.40 per machine-hour. By multiplying the planned machine time (X) by the variable cost rate, we can determine the additional cost incurred based on the number of machine-hours. Adding the fixed cost component gives us the total maintenance cost expected for a given level of machine-time. In this case, with 9,000 hours of planned machine time, the expected maintenance cost is $9,400.

To more on Cost:
https://brainly.com/question/28180563
#SPJ8

Step-by-step explanation:

Probability is unnecessary to predict a fixed event.

Answer:

lengths are 25 ft and 12 ft

Step-by-step explanation:

let x and y be the areas of the 2 square peanut beds, with x being greater than y , then

x + y = 769 → (1)

x - y = 481 → (2)

add (1) and (2) term by term to eliminate y

(x + x) + (y - y) = 769 + 481

2x + 0 = 1250

2x = 1250 ( divide both sides by 2 )

x = 625

substitute x = 625 into (1) and solve for y

625 + y = 769 ( subtract 625 from both sides )

y = 144

the areas of the 2 beds are 625 ft² and 144 ft²

the area (A) of a square is calculated as

A = s² ( s is the length of side )

then

s² = 625 ( take square root of both sides )

s = \(\sqrt{625}\) = 25

and

s² = 144 ( take square root of both sides )

s = \(\sqrt{144}\) = 12

length of each bed is 25 ft and 12 ft

The size of ∠R in the non-right-angled triangle PQR is ∠R = 54.38° and rounded to the nearest degree, is ∠R ≈ 54°

Equations with trigonometric functions that hold true for all of the variables in the equation are known as trigonometric identities.

The Law of Cosines states that for a triangle with sides a, b, and c, and opposite angles A, B, and C, we have:

⇒ c² = a² + b² - 2ab cos(C)

In this case, we are given the lengths of sides p, q, and r, and we want to find the size of angle R. So we can use the Law of Cosines with side r and angles P and Q, as follows:

⇒ r² = p² + q² - 2pq cos(R)

Substituting the given values, we get:

⇒ (47.6)² = (52.9)² + (10.4)² - 2(52.9)(10.4) cos(R)

Simplifying and solving for cos(R), we get:

⇒ cos(R) = (52.9² + 10.4² - 47.6²) / (2(52.9)(10.4))

⇒ cos(R) ≈ 0.58238

To find the size of angle R, we can use the inverse cosine function (also called the arccosine function), which is denoted as cos⁻¹

Using a calculator, we get:

⇒ R = 54.38 degrees

Therefore, the size of angle R in the non-right-angled triangle PQR, rounded to the nearest degree, is R ≈ 54 degrees.

To know more about trigonometric functions, visit:
brainly.com/question/25618616
#SPJ1

the answer to ur question is 18

Temperature of refrigerators - Cannot determine. Horsepower of race car engines - Ratio. Marital status of school board members - Nominal. Ratings of television programs - Ordinal. Ages of children enrolled in a daycare - Interval

The level of measurement for the temperature of refrigerators cannot be determined based on the given information. The temperature could potentially be measured on a nominal scale if the refrigerators were categorized into different temperature ranges. However, without further context, it is not possible to determine the specific level of measurement.

The horsepower of race car engines can be measured on a ratio scale. Ratio scales have a meaningful zero point and allow for meaningful comparisons of values, such as determining that one engine has twice the horsepower of another.

The marital status of school board members can be measured on a nominal scale. Nominal scales are used for categorical data without any inherent order or ranking. Marital status categories, such as "married," "single," "divorced," etc., can be assigned to school board members.

The ratings of television programs, such as "poor," "fair," "good," and "excellent," can be measured on an ordinal scale. Ordinal scales represent data with ordered categories or ranks, but the differences between categories may not be equal or measurable.

The ages of children enrolled in a daycare can be measured on an interval scale. Interval scales have equal intervals between values, allowing for meaningful differences and comparisons. Age, measured in years or months, can be represented on an interval scale.

Learn more about nominal scale visit:

brainly.com/question/28465126

#SPJ11

Answer:

A.) $0.89

Step-by-step explanation:

2(4x+3y=7.43)

-3(5x+2y=7.03)

8x+6y=14.86

-15x-6y=-21.09

add the two equations

-7x=-6.23

divide by -7

x=.89

Answer:$0.89

Step-by-step explanation:

Solution by substitution method

4n+3p=7.43

5n+2p=7.03

Suppose,

4n+3p=7.43→(1)

5n+2p=7.03→(2)

Taking equation (1), we have

4n+3p=7.43

⇒4n= -3p+7.43

⇒n = -3p+7.43/4

→(3)Putting n= -3p+7.43/4 in equation (2), we get

= 5n+2p=7.03

= 5(-3p+7.43/4)+2p=7.03

⇒-15p+37.15+8p=28.12

⇒-7p + 37.15=28.12

⇒-7p=28.12 - 37.15

⇒-7p=-9.03

⇒p=9.03/7

⇒p= 1.29→(4)

Now, Putting p=1.29 in equation (3), we get

n=-3p+7.43

n= -3(1.29)+7.43 / 4

⇒n= -3.87+7.43 / 4

⇒n= 3.56 / 4

⇒n=0.89

∴n= $0.89 and p=1.29

Answer:

C

Step-by-step explanation:

Im going to be quick on this since your in a hurry, is AB is 3 and QR = 1  and their similar then BC would be 3 times the amount of RS which is 1.5 so the Answer is 4.5

Answer:

C

Step-by-step explanation:

　　＿＿＿　 AA

*～/■　■　⊂ P

　 |　■　■.（＿）

　 U U￣￣U U

The correct order is -3/10, -0.2, 2.02, 4.22, 4 1/8 .

Firstly we will convert the fractions into decimal units i.e

-3/10 = -0.3

41/8 = 5.125

We know that the higher the number in negative number line lower will the value of it so the -0.3 < -0.2

Now we can easily arrange these numbers according to the number line i.e;

Negatives will be first to come on number line and the correct order will be as follow :

-0.3 , -0.2,  2.02, 4.22, 4 1/8

To know more about correct order https://brainly.com/question/7327329

#SPJ1

16 + 7.86 = 23.86cm

The perimeter of an object is the distance around the object or figure.

we are given all the sides so we have to find the perimeter of the semi circle which is 7.86cm

To learn more about perimeter read it here https://brainly.com/question/12898450

#SPJ1

\(y(t) = y_c(t) + y_p(t)\),  where\(y_c(t)\)is the general solution to the corresponding homogeneous equation and \(y_p(t\)) is the particular solution obtained.

To find the general solution to the nonhomogeneous equation using variation of parameters, we can follow these steps:

1. Find the solutions to the corresponding homogeneous equation:

\(y'' + 9y = 0.\)

The characteristic equation is\(r^2 + 9 = 0,\) which gives us two complex roots: r1 = 3i and r2 = -3i.

Therefore, the solutions to the homogeneous equation are

\(y1(t) = cos(3t) and y2(t) = sin(3t)\).

2. Find the Wronskian determinant: W = \(|y1  y2|\) = \(|cos(3t)  sin(3t)|\) = 1.

3. Find the particular solution. Assume a particular solution of the form

\(y_p(t) = u1(t)cos(3t) + u2(t)sin(3t),\)

where u1(t) and u2(t) are functions to be determined.

4. Calculate the derivatives of \(y_p(t):\)

\(y_p'(t) = u1'(t)cos(3t) - 3u1(t)sin(3t) + u2'(t)sin(3t) + 3u2(t)cos(3t),y_p''(t) = u1''(t)cos(3t) - 6u1'(t)sin(3t) - 9u1(t)cos(3t) + u2''(t)sin(3t) + 6u2'(t)cos(3t) - 9u2(t)sin(3t).\)
5. Substitute the derivatives into the nonhomogeneous equation: y_p'' + \(9y_p = 9sec^2(3t).\)

6. Equate the coefficients of \(cos(3t)\) and\(sin(3t)\) on both sides of the equation.

7. Solve the resulting system of equations for u1'(t) and u2'(t).

8. Integrate u1'(t) and u2'(t) to find u1(t) and u2(t).

9. The general solution to the nonhomogeneous equation is given by

\(y(t) = y_c(t) + y_p(t)\),

where \(y_c(t)\)is the general solution to the corresponding homogeneous equation and \(y_p(t)\) is the particular solution obtained.

To learn more about homogeneous equation click the below link

https://brainly.com/question/14926412

#SPJ11

the expression 9y^5 - 10y^3 is a polynomial. Specifically, it is a polynomial of the fifth degree (or order) since the highest exponent of the variable y is 5.

A polynomial is an algebraic expression consisting of variables, coefficients, and exponents, combined using addition, subtraction, and multiplication, but not division or negative exponents.

In the given expression, we have two terms: 9y^5 and -10y^3. Each term is a monomial (a single term) and can be written in the form of coefficient times variable raised to a non-negative integer exponent.

The coefficient of the first term is 9, and the variable is y raised to the power of 5. Similarly, the coefficient of the second term is -10, and the variable is y raised to the power of 3.

Both terms satisfy the criteria of a polynomial, and the expression can be simplified as:

9y^5 - 10y^3

Therefore, the expression 9y^5 - 10y^3 is a polynomial. Specifically, it is a polynomial of the fifth degree (or order) since the highest exponent of the variable y is 5.

To know more about polynomial, visit

https://brainly.com/question/1496352

#SPJ11

Answer:d would make the most sense :)

Step-by-step explanation:

A geometric sequence is a type of sequence where each term is found by multiplying the previous term by a constant factor. This means that each term is a multiple of the one before it. In contrast, an arithmetic sequence is a type of sequence where each term is found by adding a constant value to the previous term.

This means that each term is a sum of the one before it and a fixed value.

To answer your question, whether a geometric sequence will always grow faster than an arithmetic one depends on the values of the constant factor and fixed value in each sequence. In general, if the constant factor in a geometric sequence is greater than 1, the terms will grow at an increasingly faster rate than in an arithmetic sequence.

However, if the constant factor is between 0 and 1, the terms will grow at a decreasing rate, meaning that the sequence will actually grow more slowly than an arithmetic one.

It's important to note that the rate of growth is not the only factor to consider when comparing geometric and arithmetic sequences. The actual values of the terms in each sequence can also differ significantly, depending on the starting term and the values of the common ratio and common difference.

In some cases, an arithmetic sequence may actually have higher values than a geometric one, even if it grows more slowly.

In summary, whether a geometric sequence will always grow faster than an arithmetic one depends on the specific values of each sequence. However, in general, if the constant factor in a geometric sequence is greater than 1, it will grow faster than an arithmetic sequence.

To know more about geometric sequence, visit:

https://brainly.com/question/11266123#

#SPJ11

Answer:

x = 3

Step-by-step explanation:

2(x+4) + 2 = 5x + 1

2x + 8 + 2 = 5x + 1

2x + 10 = 5x + 1

-3x + 10 = 1

-3x = -9

x = 3

To solve for x, we need to simplify the equation and isolate the variable. Let's proceed with the given equation:

2(x + 4) + 2 = 5x + 1

First, distribute the 2 to the terms inside the parentheses:

2x + 8 + 2 = 5x + 1

Combine like terms on the left side:

2x + 10 = 5x + 1

Next, let's move all terms containing x to one side of the equation and the constant terms to the other side. We can do this by subtracting 2x from both sides:

2x - 2x + 10 = 5x - 2x + 1

Simplifying further:

10 = 3x + 1

To isolate the x term, subtract 1 from both sides:

10 - 1 = 3x + 1 - 1

9 = 3x

Finally, divide both sides of the equation by 3 to solve for x:

9/3 = 3x/3

3 = ×

Therefore, the solution to the equation is x = 3.

Answer:

it’s B

Step-by-step explanation:

:)

a. The equation representing the cost of buying and operating the Super Cool X1400 is: C = 800 + 60m. b. The equation representing the cost of buying and operating the Efficient Energy X2000 is: C = 1200 + 40m. c. Your family would have to use the Efficient Energy model for 10 months to compensate for the additional cost of the original purchase. d. Figuring your family will only use the air conditioner for four months each year, you would have to wait 5 years to start saving money overall.

a. The cost of buying the Super Cool X1400 is a one-time expense of $800. Additionally, the cost of operating it is $60 per month. Therefore, the equation representing the cost C as a function of months m is C = 800 + 60m.

b. The cost of buying the Efficient Energy X2000 is a one-time expense of $1200. The operating cost is $40 per month. Hence, the equation representing the cost C as a function of months m is C = 1200 + 40m.

c. To compensate for the additional cost of the original purchase (which is $400), we equate the two cost equations and solve for m:

800 + 60m = 1200 + 40m

20m = 400

m = 20

Therefore, your family would have to use the Efficient Energy model for 20 months (or 10 months more than the Super Cool X1400) to compensate for the additional cost.

d. Considering your family only uses the air conditioner for four months each year, we divide the total number of months (20) by four to find the number of years needed to start saving money overall:

20 months / 4 months/year = 5 years

Hence, you would have to wait 5 years to start saving money overall by choosing the Efficient Energy X2000.

a. The cost of buying and operating the Super Cool X1400 is represented by the equation C = 800 + 60m.

b. The cost of buying and operating the Efficient Energy X2000 is represented by the equation C = 1200 + 40m.

c. Your family would have to use the Efficient Energy model for 10 months to compensate for the additional cost of the original purchase.

d. Assuming your family uses the air conditioner for four months each year, you would have to wait 5 years to start saving money overall by choosing the Efficient Energy X2000.

To know more about saving , visit;

https://brainly.com/question/7965246

#SPJ11

complete question- Your family plans to buy a new air conditioner. They can buy the Super Cool X1400 for $800, or they can buy the Efficient Energy X2000 for $1200. Both models will cool your home equally well, but the Efficient Energy model is less expensive to operate. The Super Cool X1400 will cost $60 per month to operate, while the Efficient Energy X2000 costs only $40 per month to operate. a. Write an equation to represent the cost of buying and operating the Super Cool X1400 where C= cost and m= months. b. Write an equation to represent the cost of buying and operating the Efficient Energy X2000. c. How many months would your family have to use the Efficient Energy model to compensate for the additional cost of the original purchase? d. Figuring your family will only use the air conditioner for four months each year, how many years ill you have to wait to start saving money overall?

Strawberries, apples, cherries, spinach, nectarines, and grape samples were positive for residues of two or more pesticides in more than 90% of the cases. The most pesticides were found in kale, collard, mustard greens, spicy peppers, and bell peppers totaling 103 and 101 pesticides, respectively.

According to the Environmental Working Group's 2022 Shoppers Guide to Pesticides in Vegetables, strawberries and spinach continue to have the highest pesticide levels of any product categories.

According to the EWG, more than 70% of non-organic vegetables contained pesticide residue. Nearly all the produce had pesticide residue levels below limits set by U.S. regulators.

Know more about pesticides at:

https://brainly.com/question/12912926

#SPJ4

Answer:

\(12 {y}^{6} \)

Step-by-step explanation:

\(2 {y}^{5} \times 6y\)

From the properties of exponent.

\( {y}^{m} \times {y}^{n} = {y}^{m + n} \)

We multiply both terms.

\(2 {y}^{5} \times 6y = 12 {y}^{6} \)

Therefore, the answer is C.

Answer:

D

Step-by-step explanation:

1. Find which of these 4 (four) has a y-intercept of positive 4, in this case, B and D. Recall, that the y-intercept means when X is 0 (zero) what is the value of Y?

2. Find the slope of B and D
The formula to find slope is change in y/change in x (Y/X)

B:

X: 0 - 4 = -4
Y: 4 - 0 = 4

4/-4 = -1

D:

X: 0 - -4 = 4

Y: 4 - 0 = 4

4/4 = 1

Answer:

n=-8

Step-by-step explanation:

Solve by isolating the variable by using the properties of equalities.

First, divide both sides by -6,

\(n+1=-7\)

Then, subtract 1 from both sides,

\(n=-8\)

This is the quickest method of solving the equation. However, it is also possible to solve by distributing the -6 in the beginning and then solving.

Answer:

15, 21, 27

Step-by-step explanation:

Given the function :

f(x) = 6x + 13 ; which defines a sequence for x > 1

The first three terms of the sequence ;

x > 1 ;

Hence x = 2, 3, 4

The sequence :

f(2) = 6(2) + 3 = 12 + 3 = 15

f(3) = 6(3) + 3 = 18 + 3 = 21

f(4) = 6(4) + 3 = 24 + 3 = 27

The answers to all parts shown below.

Radical - The √ symbol that is used to denote square root or nth roots. Radical Expression - A radical expression is an expression containing a square root. Radicand - A number or expression inside the radical symbol.

Given:

We have to find the Square/Cube Factors

1. 5/6√3

Now, rationalizing

5/6√3 x √3/ √3

= 5√3 / 18

2. √3/ (7- 3√5)

Now, rationalizing

= √3/ (7- 3√5) x (7+ 3√5) / (7+ 3√5)

= √3(7+ 3√5) / 4

3. 8/ (4 + 5√2)

Now, rationalizing

= 8/ (4 + 5√2) x  (4 - 5√2)/  (4 - 5√2)

= -8 (4 - 5√2)/ 34

4. 7 ∛(48 \(m^{18} n^{13}\))

= 14 \(m^6\)\(n^4\)∛6n

5.\(2\sqrt{\left(-300x^{18}\right)}\)

=\(20\sqrt{3}\sqrt{-x^{18}}\)

6. (4+ 7√10)²

= 4² + (7√10)²+ 2 (4)( 7√10)

= 16 + 490 + 56√10

= 506 + 56√10

7. (6- 7√3) x (6+ 7√3)

= 6² - (7√3)²

= 36 - 147

= -111

8. 11√50\(x^{12}y^5\)

= 55\(x^6\)y²√2y

Learn more about Radical here:

https://brainly.com/question/1369233

#SPJ1

The solution is, 52 ft is the perimeter of the base of the pyramid.

Here, we have,

Given that:

We have an pyramid with square base.

Area of base of the square pyramid = 169

To find:

Perimeter of the base of pyramid = ?

Solution:

First of all, let us have a look at the formula of area of a square shape.

Area = side * side

Let the side be equal to  ft.

Putting the given values in the formula:

169 = a^2

so, a = 13 ft

Now, let us have a look at the formula for perimeter of square.

Perimeter of a square shape = 4  Side

Perimeter = 4 * 13 = 52ft

The solution is, 52 ft is the perimeter of the base of the pyramid.

Learn more about perimeter here:

brainly.com/question/397857

#SPJ1

complete question:

A pyramid has a square base with an area of 169 ft2. What is the perimeter of the base of the pyramid? A pyramid has a square base with an area of 169 ft2. What is the perimeter of the base of the pyramid?

Answer:

(-7, -1)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define Systems

5x - 9y = -26

-2x + 3y = 11

Step 2: Rewrite Systems

-2x + 3y = 11

Step 3: Redefine Systems

5x - 9y = -26

-6x + 9y = 33

Step 4: Solve for x

Elimination

Step 5: Solve for y

Answer:

x= -7

y= -1

Step-by-step explanation:

5x-9y= -26..............(1)

-2x+3y= 11...............(2)

5(-2x+3y= 11)

-10x +15y = 55................(3)

2(5x-9y= -26)

10x-18y= -52.....................(4)

Add equation 3&4

-10x+15y= 55

10-18y= -52

-3y= 3

y= -1

put y= -1 into equation ............(3)

-10x+15y= 55

-10x+15(-1)= 55

-10x-15 = 55

-10x= 55+15

-10x= 70

x= -7

Therefore;

x= - 7 and y= - 1

14 ft to 21 ft = 2 ft to 3 ft

Answer:

Step-by-step explanation:Nina makes 20x dollars at her first job each week

Answer:

Nina makes 20x dollars at her first job each week.

Step-by-step explanation:

on edge 2022