in each case are the 2 events dependent or independent toss a dime and then toss a quarter pick a card from a deck of cards keep the card and pick another one

The value of F(4) in the given function is: f(4) = 7

The domain of a function is defined as the set of all possible input values that makes the function possible while the range is defined as the set of all possible output values for which the function is possible.

We are given the function as:

f(x) = 3x - 5

Thus f(4) will be gotten as:

f(4) = 3(4) - 5

f(4) = 7

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The only situation in which two angles are both congruent and complementary is when their measures are both 45°:

Two angles are complementary if their sum is 90°, and they are congruent if their measures are the same, say n. Therefore, to find two congruent angles which are complementary, we solve the following equation:

n+n=2n

2n = 90

2n/2 = 90/2

n=45

Two angles that are both congruent and complementary can be found in right angles.

Two angles that are both congruent and complementary can be found in the case of right angles. When two angles are right angles, they are both congruent (having the same measure) and complementary (adding up to 90 degrees).

Answer:

The answer Is 1

Step-by-step explanation:

Got it right trust me

The question is missing critical information as it lacks the proportion or number related to the shaded part of the model. Without this detail or a visual representation, it's not possible to determine the accuracy of Gary or John's statements.

The question provided seems to be missing critical information, specifically the proportion or number that Gary and John are referring to when they mention how much of a model is shaded. In a typical mathematics problem regarding fractions or percentages, students would be asked to determine if statements about the shaded portion of a model are correct. Without the visual model or additional context indicating the proportion of the model that is shaded, it's impossible to conclude which student, Gary or John, is correct.

In order to answer correctly, we would need either a clear description of the model and its shaded parts or, preferably, a visual representation. Then, we would analyze the shaded portion to assess which statement about the fraction or percentage shaded is accurate. If we had this information, we could illustrate the process of comparing the given fraction or percentage with the actual shaded section of the model.

Unfortunately, without the necessary details, we can neither confirm if Gary, John, or both are correct, nor can we properly address the question.

The percentage of red marbles in a bag is 65%.

Given that, a bag of marbles contains 7 blue marbles and 13 red marbles.

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Here, total number of marbles in a bag

= 7+13 =20

Now, percentage of red marbles

= 13/20 × 100

= 65%

Therefore, the percentage of red marbles in a bag is 65%.

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The upper limit for the zeros of the given equation is x=32.

An equation is an expression that shows the relationship between two or more numbers and variables.

We have been given an equation as [tex]2x^4 - 7x^3 + 4x^2 + 7x - 6 = 0[/tex]

Step 1: First we have to Factor the left side of the equation.

(x+1)(x−1)(x−2)(2x−3)=0

Then Set factors equal to 0.

x+1=0

x−1=0

or x−2=0

2x−3=0x=−1

x=1 or x=2 or x=32

Therefore, x =−1 or x=1 or x=2 or x=32

The upper limit for the zeros of the given equation is x=32.

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The required ratio of 2 frogs to 5 turtles is given as 2 / 5 or 2:5.

As mentioned in the question ratio of the 2 frogs and 5 turtles is to be determined.

The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.

Here,
The ratio of the two terms is given as a / b or a: b
Let a =  number of frogs ad b = number of turtles,
Now, put the values of a and b in a/b or a:b
So,
The ratio is given as,
= 2/5 or 2:5

Thus, the required ratio of 2 frogs to 5 turtles is given as 2 / 5 or 2:5.

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The height of the triangle will be 14 cm.

A triangle is a polygon that has three sides and three vertices. It is one of the basic figures in geometry.

The area of the triangle is the product of half the base and the height of the triangle.

The area of the triangle = 1/2 x b x h

so we will plug numbers into the equation and solve ;

Area = 6(x) 1/2

42 = 6(x) 1/2

42 = 3(x)

Now, divide each side by 3

14 = x  

Therefore, the height of the triangle will be 14 cm.

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Indirect compensation is significant for retaining employees as it creates job security, motivates productivity, and reduces costs of recruitment and training. It also plays a role in managing modern workforce, which requires a more flexible and multi-faceted approach to retain.

Indirect compensation is important for recruiting and retaining employees in several ways. One of them is that it often works under an implicit contract, where the employer tries to maintain wages even when the economy or the business is not doing well, providing a form of protection for the employees. This implicit contract can make workers feel secure and motivated, hence improving productivity and reducing the likelihood of them leaving the firm.

Moreover, retaining employees from more modern generations can be more challenging since their expectations differ from those of previous generations; they tend to lack inherent company loyalty, hence, frequent rewards, praises, and feedback are essential. On the other hand, the efficiency wage theory argues that better pay results in higher productivity since the employees are motivated to work harder to maintain their current job because they realize that they could suffer a wage cut if they were to lose it.

Lastly, to avoid the costly and time-consuming endeavor of hiring and training new employees, employers often find it advantageous to pay a little more to the existing ones, a strategy that not only minimizes costs but also retains skilled and motivated employees.

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The length of rectangular field  would be: 750ft

Its the sum of length of the sides used to made the given figure.

Given the rectangle perimeter (2,000 ft) and the ratio of rectangle length : width (3:1).

The equation of this question should be:

3 rectangle width = rectangle length

rectangle width = 1/3 rectangle length

The rectangle perimeter = 2,000ft

Using the formula of perimeter of rectangle = 2(length+width)

Now, Length of rectangular field is calculated as;

2,000ft  = 2 (length+width)

2,000ft /2 = 1/3 length + length

length = 750ft

Hence, The length of rectangular field  would be: 750ft

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Final answer:

To solve for the number of dimes and quarters Michael has, we use two equations: 0.10d + 0.25q = 4.40 for the total value, and d + q = 20 for the total quantity of coins.

Explanation:

To find the number of dimes, d, and the number of quarters, q, Michael has, we need two equations to form a system. The first equation will represent the total amount of money in terms of dimes and quarters, and the second one will represent the total number of coins.

The value of a dime is $0.10 and the value of a quarter is $0.25. The total amount of money, $4.40, can be represented as 0.10d + 0.25q = 4.40. This is the value equation.

Since there are 20 coins in total, the second equation will simply be the count of both types of coins together: d + q = 20. This is the quantity equation.

The system of equations to find the number of dimes and quarters is:

0.10d + 0.25q = 4.40 (value equation)

d + q = 20 (quantity equation)

By interpreting the student's grade of 85% and knowing that 3 questions were answered incorrectly, we can infer that the test consisted of 20 questions in total.

To calculate how many questions were on the test, we first need to establish the relationship between the number of questions answered incorrectly and the student's overall percentage score. If the student got an 85% on the test, this means they answered 85% of the questions correctly. With 3 questions answered incorrectly, we can assume that these incorrect answers account for the remaining 15%. To find the total number of questions on the test (let's denote it as x), we set up a simple equation:

0.15x = 3

Solving for x yields:

x = 3 / 0.15

x = 20

Therefore, the test consisted of 20 questions in total.

Answer:

no its not

Step-by-step explanation:

simplest form for 22/33 is 2/3

Sara travels a distance of 12 feet below sea level when she jumped into the sea.

Subtraction is a mathematical operation that deducts the right-hand operand from the left-hand operand.

for example 4 -2 = 2

We have been given that Sara was on a cliff 25 feet above sea level. she jumped into the sea and descended a total of 37 feet.

To determine the number of feet below sea level travel by Sara

The number of feet below sea level = total descended -  cliff of a number of feet above sea level.

Here total descent is 37 feet and the cliff is 25 feet above sea level.

Substitute the value in the above equation,

The number of feet below sea level = 37 - 25

The number of feet below sea level = 12 feet

Therefore, she travels a distance of 12 feet below sea level.

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The principal amount needed to have $3000 after 5 years with 6% simple interest is $10,000.

To find the principal amount needed to have $3000 after 5 years with 6% simple interest, we can use the formula for simple interest:

Simple Interest = Principal * Rate * Time

where Rate is the interest rate as a decimal, and Time is the time period in years.

We can rearrange this formula to solve for the Principal:

Principal = Simple Interest / (Rate * Time)

In this case, we want to find the Principal that will yield $3000 after 5 years with 6% simple interest. Therefore, we have:

Simple Interest = $3000

Rate = 0.06

Time = 5 years

Plugging these values into the formula, we get:

Principal = $3000 / (0.06 * 5) = $10,000

Therefore, the principal amount needed to have $3000 after 5 years with 6% simple interest is $10,000.