Hi, I always have a hard time with these, the whole question is in the picture.

The best answer is It is not possible to save any money this month without having a negative actual net income.

This is because saving money means spending less than you earn.

If the actual net income is already zero or positive, there is no room to save without spending more than the income, which would result in a negative actual net income.

Therefore, option B, C, and D are incorrect as they all suggest that it is possible to save money without having a negative actual net income, which is not possible.

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Answer: The horizontal axis is = 7 s per division

The solution to the system of equations is x = 1 and y = -3.

To solve the system of equations using the substitution or elimination method, let's start with the substitution method.

Given equations:

y = 4x - 7

4x + 2y = -2

We'll solve equation 1) for y and substitute it into equation 2):

Substituting y from equation 1) into equation 2):

4x + 2(4x - 7) = -2

4x + 8x - 14 = -2

12x - 14 = -2

Now, we'll solve this equation for x:

12x = -2 + 14

12x = 12

x = 12/12

x = 1

Now that we have the value of x, we can substitute it back into equation 1) to find y:

y = 4(1) - 7

y = 4 - 7

y = -3

Therefore, the solution to the system of equations is x = 1 and y = -3.

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Answer:

{7, 9}

(Numbers from 1 to 10 equal to or greater than 7 are 7 and 9)

Step-by-step explanation:

We have to find the set of whole number greater than and equal to 7 from 1 to 10,

Now, From 1 to 10, the odd numbers are, 1,3,5,7,9,

And of these, 7 and 9 are equal to or greater than 7

So, we get the set,

{7, 9}

Answer: 3x+18=5x-2

Step-by-step explanation:

3x+ 18x=5x-2

(3x+18x)=5x-2

21x=5x-2

5x 5x

16x=-2

16. 16

X= -1/8

The probability that an MP3 player manufactured in Fort Meyers is defective is 0.37%.

To calculate the probability that an MP3 player is defective, we need to consider the manufacturing plants and their respective defect rates.

Given:

Plant at Memphis manufactures 50% of the MP3 players, and 1% of those manufactured at that plant are defective.

Plant at Fort Meyers manufactures 20% of the MP3 players, and 3% of those manufactured at that plant are defective.

No information is provided about the defect rate of the third plant.

To find the overall probability of an MP3 player being defective, we need to consider the probability of selecting a defective player from each plant and then weigh it by the probability of selecting a player from each plant.

Let's calculate the overall probability:

Probability of selecting a defective player from Memphis plant = 50% * 1% = 0.50% or 0.005 (since 50% is equivalent to 0.50 in decimal form)

Probability of selecting a defective player from Fort Meyers plant = 20% * 3% = 0.60% or 0.006 (since 20% is equivalent to 0.20 in decimal form)

To calculate the overall probability, we need to weigh these probabilities by the probability of selecting an MP3 player from each plant:

Probability of selecting from Memphis plant = 50% = 0.50 (decimal form)

Probability of selecting from Fort Meyers plant = 20% = 0.20 (decimal form)

Overall probability of selecting a defective MP3 player is given by:

Overall probability = (Probability from Memphis plant * Probability of selecting a defective player from Memphis) + (Probability from Fort Meyers plant * Probability of selecting a defective player from Fort Meyers)

Overall probability = (0.50 * 0.005) + (0.20 * 0.006) = 0.0025 + 0.0012 = 0.0037 or 0.37%

Therefore, the probability that an MP3 player, manufactured in Fort Meyers, is defective is 0.37%.

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Answer:

x= 16 ft

length = 4 ft

width = 11 ft

Step-by-step explanation:

The area is length* width

so the length is ( x - 12 )

and the width is ( x - 5 )

the area is 44ft

so now set up an equation and solve for x

( x - 12 ) ( x - 5 ) = 44

distribute

x^(2) - 17x + 60 = 44

inverse operations

x^(2) - 17x + 60 = 44

                - 60     - 60

x^(2) - 17x = -16

factor

x^(2) - 17x = -16

x ( x - 17 ) = -16

now it is pretty clear that the answer is:

x = 16

just substitute it into the equation and check

( x - 12 ) ( x - 5 ) = 44

( 16 - 12 ) ( 16 - 5 ) = 44

( 4 ) ( 11 ) = 44

44 = 44

this also shows that

the length is 4

because:

( x - 12 )

= ( 16 - 12 )

= 4

and the width is 11

because:

( x - 5 )

= ( 16 - 5 )

= 11

Answer:

3

Step-by-step explanation:

1. 54÷6 =9

2. (12-4)=8

3. 9-8 = 1

4. 1+2 = 3

5. I hope this helps it's pretty simple oh and 3 is your anansw.Also you can you your calculator

Answer:

a=72\(\frac{2}{3}\)

Step-by-step explanation:

56/6*(12-4)+2=n

56/6*8+2-2=n-2

56/6*8/8=(n-2)/8

x=9\(\frac{1}{3}\)

x=(n-2)/8

y=74\(\frac{2}{3}\)

y=n-2=a

a=72\(\frac{2}{3}\)

To solve the equation 7(x + 3) = 7(x + 5), we can start by simplifying both sides of the equation:

7x + 21 = 7x + 35

Subtracting 7x from both sides, we get:

21 = 35

This is a contradiction, as 21 is not equal to 35. Therefore, the equation has no solution.

However, the problem states that the equation has an infinite number of solutions. This can only happen if the missing number is a factor that appears on both sides of the equation, and therefore cancels out when we simplify the equation.

Looking at the equation, we can see that both sides have a factor of 7, which cancels out when we simplify the equation. Therefore, the missing number must be the factor that was torn off, which is 7 multiplied by the difference between the two numbers inside the parentheses:

7(5 - 3) = 14

Therefore, the missing number is 14, which corresponds to answer option B.

Answer:

Conservation of energy, principle of physics according to which the energy of interacting bodies or particles in a closed system remains constant. ... For example, when a pendulum swings upward, kinetic energy is converted to potential energy.

Step-by-step explanation:

The value of the constant term k in the exponential model of the bacteria population is k ≈ 0.0972

An exponential function is one in which the input variable is part of the exponent of the expression for the function.

The function for the population of the bacteria indicates;

\(P(t) = \frac{22,000 }{1 + 1.2\cdot e^{(-k\cdot t)}}\)

The population of the bacteria after t = 1 hour is P(1) = 10,532

Therefore;

\(P(1) = \frac{22,000 }{1 + 1.2\cdot e^{(-k\times 1)}} = 10,532\)

\(1 + 1.2\cdot e^{(-k\times 1)} = \frac{22,000}{10,532}\)

\(1.2\cdot e^{(-k\times 1)} = \frac{22,000}{10,532} - 1\)

\(e^{(-k\times 1)} = \frac{\frac{22,000}{10,532} - 1}{1.2}\)

Taking the natural logarithm of both sides, we get;

\(\ln (e^{(-k\times 1)}) = \ln (\frac{\frac{22,000}{10,532} - 1}{1.2})\)

\(\ln (e^{(-k)}) = \ln (\frac{\frac{22,000}{10,532} - 1}{1.2})\)

\(\ln (e^{(-k)}) = -k = \ln (\frac{\frac{22,000}{10,532} - 1}{1.2})\) ≈ -0.0972 (rounded to 4 decimal places)

-k ≈ -0.0972

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The value of x or the expression 56 = -4x + 2 is -27/2.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

56 = -4x + 2

Solve for x.

56 = -4x + 2

Subtract 2 on both sides.

56 - 2 = -4x

54 = -4x

Divide -4 into both sides.

-54/4 = x

x = -54/4

x = -27/2

x = -13(1/2)

Thus,

The value of x is -27/2.

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There is 1/6 gallon of milk left in Leo's jug.

The step by step fraction subtraction are as follows:

The first step would be to deduct the 3/4 gallon of milk with 1/3 he uses to make the soup.

3/4 - 1/3 = (3x3)/(4x3) - (1x4)/(3x4) = 9/12 - 4/12 = 5/12

Then out of 5/12 gallon of milk left in the jug, he pours 1/4 of the remaining milk into a glass.

5/12 - 1/4 = 5/12 - (1x3)/(4x3) = 5/12 - 3/12 = 2/12 = (2÷2)/(12÷2) = 1/6

So Leo has 1/6 gallon of milk left in the jug.

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Answer: Greg is correct.

Step-by-step explanation: Greg says to subtract four, making the four in the right out of the question, and subtracting 4 from 16, leaving: “3y = 12”.

Answer:

x = 33.

x = 2.

Step-by-step explanation:

200(x-0.3)=600

200x - 60 = 600

200x - 60 + 60 = 600 + 60

200x = 660

x = 660/200

x = 3.3.

-10(x-1.7)=-3

-10x + 17 = -3

-10x + 17 - 17 = -3 - 17

-10x = -17 - 3 = -20

     x = 2.

Answer:

y = -5

Step-by-step explanation:

y = 5/2x -5

Substitute x = 0

y = 5/2 x 0 -5

Solve the equation.

y = -5

Given

Escalator = 200 ft 9 in

angle = 15 degree

Procedure

1 ft = 12 inches

200 ft = 2400 inches

So, 200 ft 9 in = 2409 inches

Let us consider that vertical rise of escalator is x .

Applying Sine of angle.

Thus, the vertical rise of escalator is 623.5 inch.

The equivalent value of {x} is equivalent to 2.046.

The cosine function (or cos function) in a triangle is the ratio of the adjacent side to that of the hypotenuse.

Given is the expression as -

cos(47) = x/3

We have the expression as -

cos(47) = x/3

{x} = 3 cos(47)

{x} = 3 x 0.682

{x} = 2.046

Therefore, the equivalent value of {x} is equivalent to 2.046.

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Answer: 400

Step-by-step explanation:

Answer:

B. x - 10

Step-by-step explanation:

x² - 13x + 30 = (x - 3)(x - 10)

x² + (a + b)x + ab = (x + a)(x + b)

The relationship between logarithms and exponential functions is fundamental and provides a powerful tool for finding solutions in various mathematical and scientific contexts.

Logarithms are the inverse functions of exponential functions. They allow us to solve equations and manipulate exponential expressions in a more manageable way. By taking the logarithm of both sides of an exponential equation, we can convert it into a linear equation, which is often easier to solve.

One of the key properties of logarithms is the ability to condense multiplication and division operations into addition and subtraction operations. For example, the logarithm of a product is equal to the sum of the logarithms, and the logarithm of a quotient is equal to the difference of the logarithms.

Logarithms also help us solve equations involving exponential growth or decay. By taking the logarithm of both sides of an exponential growth or decay equation, we can isolate the exponent and solve for the unknown variable.

This is particularly useful in fields such as finance, population modeling, and radioactive decay, where exponential functions are commonly used.

Furthermore, logarithms provide a way to express very large or very small numbers in a more manageable form. The logarithmic scale allows us to compress a wide range of values into a smaller range, making it easier to analyze and compare data.

In summary, the relationship between logarithms and exponential functions enables us to simplify and solve equations involving exponential expressions, model exponential growth or decay, and manipulate large or small numbers more effectively.

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Answer:

Option A

Step-by-step explanation:

Answer:

To find the number of boats that should be produced to incur minimum cost, we need to find the value of x that minimizes the cost function C(x).

We can do this by taking the derivative of the cost function with respect to x, setting it equal to zero, and solving for x.

C(x) = 22000 - 40x + 0.02x^2

C'(x) = -40 + 0.04x

Setting C'(x) = 0, we get:

-40 + 0.04x = 0

0.04x = 40

x = 1000

Therefore, the number of boats that should be produced to incur minimum cost is 1000.

Step-by-step explanation:

Answer:

B

D

D

Step-by-step explanation:

please verify and rate 5 stars and say thank you

Answer:

8.35

Step-by-step explanation:

To get absolute value, just make it the opposite

Answer: |-8.35| = 8.35

Step-by-step explanation: |-8.35| = 8.35

Step-by-step explanation:

the inside expression of an absolute value expression can be positive or negative, but the result is only the positive one.

therefore, for our example here the negative case would be

2.5x - 6.8 = -12.9

which gives us

2.5x = -6.1

x = -6.1/2.5 = -2.44

and the positive case would be

2.5x - 6.8 = 12.9

and that gives us

2.5x = 19.7

x = 19.7/2.5 = 7.88

The length of line segment AB is 5 units.To find the length of line segment AB, we can use the distance formula, which is based on the Pythagorean theorem.

The distance formula calculates the distance between two points (x1, y1) and (x2, y2) in a coordinate plane.

Let's calculate the length of AB using the given coordinates for points A and B:

Coordinates of point A: A = (4, -5)

Coordinates of point B: B = (7, -9)

The distance formula is given by:

\(d = [(x2 - x1)^2 + (y2 - y1)^2]\)

Substituting the coordinates of A and B into the formula:

\(d = [(7 - 4)^2 + (-9 - (-5))^2]\\d =[(3)^2 + (-4)^2]\)

d = √[9 + 16]

d = √25

d = 5

Therefore, the length of line segment AB is 5 units.

The distance formula calculates the straight-line distance between two points in a two-dimensional space. In this case, it determines the distance between points A and B in the coordinate plane. By applying the formula and substituting the given coordinates, we find that the length of AB is 5 units.

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Answer:

8

Step-by-step explanation:

45 points for a free movie - 25 points = 20 remaining points needed

20 / 2.5 = 8

She would need 8 visits to earn a free movie ticket.

Answer:

8

Step-by-step explanation:

25+2.5x=45

subtract 25 from each side

2.5x=20

divide both sides by 2.5

x=8