What is the difference between -5 squared and -5 parenthesis squared?

Final answer:

Maria can convert 500 centimeters to meters by dividing by 100. So, she would end up with 5 meters since each meter contains 100 centimeters.

Explanation:

Maria wants to convert 500 centimeters to meters to determine how many meters she has. Conversion between centimeters and meters is a common mathematical process. Since there are 100 centimeters in a meter, Maria needs to divide the number of centimeters by 100 to get the measurement in meters. So, she would calculate 500 cm ÷ 100, which equals 5 meters.

To visualize this, imagine you have a ruler that measures in centimeters. If you laid out rulers end to end until you reached 500 centimeters, you would have the equivalent length of 5 meters because every 100 centimeters make up 1 meter.

Example:

If we had 200 cm, we would divide by 100 and find that 200 cm equals 2 m. Comparing this to a meter stick, which measures 1 meter, we can see that 200 cm is greater than 1 m and would require using the meter stick twice to measure the entire length.

The expression  4(3x-2)-2(4x+5) in it's simplest binomial form is 4x - 18.

We can classify algebraic expressions in terms of how many terms they have. If an algebraic expression has only one term we call it a monomial, having two terms makes it a binomial and having more than two terms makes it a polynomial

We know a binomial consists of two terms separated by any of the arithmetic operations.

Given,  4(3x-2)-2(4x+5).

First, we will distribute the terms.

= 12x - 8 - 8x - 10.

= 4x - 18.

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Final answer:

Calculating possibilities ranges from completing a quiz to creating secret codes, with correct answers including 108 ways to complete a quiz and 234,000 combinations for a secret code. The arrangement of the word EXPERIMENT yields 1,209,600 unique arrangements, and other questions involve calculating probabilities and combinations in different scenarios.

Explanation:

Calculating Various Probabilities and Combinations

Let's break down each part of the question to provide clear and step-by-step solutions.

1. Completing a Quiz

For the quiz with 2 true-or-false questions and 3 multiple-choice questions (each with 3 options), the number of ways to complete the quiz can be calculated as 22 * 33, which equals 4 * 27 = 108. So, the correct answer is 108 ways.

2. Creating a Secret Code

For a secret code consisting of 2 digits (10 options each, but cannot repeat, so 10*9), 2 letters (26 options each, but cannot repeat, so 26*25), followed by 1 symbol from 4 options, the total number of combinations is 10*9*26*25*4 = 234,000. Thus, the correct choice is 234,000 combinations.

3. Arrangements of the Word EXPERIMENT

To find the number of distinct arrangements of the letters in EXPERIMENT, considering the repeated letters, the formula is the total factorial divided by the product of factorials of each repeated letter: 10!/ (2! * 3!), which calculates to 1,209,600. Therefore, option a is correct.

4. Sending Students to a Summer Dance Program

To determine how many ways a dance instructor can send 4 of her 11 students to a summer dance program, we use combinations: 11C4 = 330. So, the answer is 330 ways, option a.

5. Probability of Starting a Car

With 5 keys, the probability that a randomly chosen key starts the car is 1/5, which translates to 20%, option c.

6. Probability of Choosing a Losing Card

If the winning probability is 2.9%, the losing probability is 100% - 2.9% = 97.1%, thus the correct answer is option d.

Answer:

Step-by-step explanation:

Alright, lets get started.

Given that:

[tex]\frac{(x^2-4)}{(x+2)}=(x-2)[/tex]

(x-2) could be written as [tex]\frac{x-2}{1}[/tex]

[tex]\frac{(x^2-4)}{(x+2)}=\frac{(x-2)}{1}[/tex]

Doing cross multiply

[tex](x+2)(x-2)=(x^2-4)*1[/tex]

[tex](x+2)(x-2)=(x^2-4)[/tex]

It means the blank part is (x-2)   :    Answer

Hope it will help :)

To find the x-intercepts of the function f(x) = x^2 - 16x + 64, we set f(x) to zero and solve for x. The quadratic factors to (x - 8)^2 = 0, revealing that the graph has a single x-intercept at x = 8.

To determine the x-intercepts of the graph of the function f(x) = x^2 - 16x + 64, we need to find the values of x for which f(x) equals zero. This involves solving the quadratic equation, x^2 - 16x + 64 = 0.

One approach is to factor this equation if possible. Another approach is to use the quadratic formula.

The given quadratic equation can be factored as (x - 8)^2 = 0.

Therefore, the only solution to this equation is x = 8, which means the graph of the function touches the x-axis at this point and has a vertex at (8, 0), making the x-intercept of the graph equal to 8.

The factored form indicates that the function has a double root at x = 8, which means the parabola touches and then bounces off the x-axis at this point.

Thus, rather than crossing the x-axis at two distinct points, the parabola has a single x-intercept at x = 8. This is often referred to as a repeated or double root because the solution appears twice when the quadratic is factored.

Answer:

[tex]-3x^{2} -6x-7[/tex]

Step-by-step explanation:

The given expression is :

[tex]\frac{-3x^{3}+5x+14}{x-2}[/tex]

Factoring [tex]-3x^{3}+5x+14[/tex]

Factor out common term -1

[tex]3x^{3}-5x-14[/tex]

Now dividing leading coefficients of numerator and divisor.

[tex]\frac{3x^{3}}{x}=3x^{2}[/tex]

Multiplying x-2 with [tex]3x^{2}[/tex] = [tex]3x^{3}-6x^{2}[/tex]

Subtracting [tex]3x^{3}-6x^{2}[/tex] from [tex]3x^{3}-5x-14[/tex]

we get [tex]6x^{2} -5x-4[/tex]

Therefore, [tex]\frac{-3x^{3}+5x+14}{x-2}[/tex] = [tex]3x^{2} +\frac{6x^{2}-5x-14}{x-2}[/tex]

Now repeating these same steps until (x-2) is factored out, we get the quotient as :

[tex]-3x^{2} -6x-7[/tex]

The line which contains point A is line l.

Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.

Now from the given diagram, lines l and m lie in plane P.

And the point lies on the line l are A, B and C.

The point lies on the line m are B and D.

Point E lies in plane P.

Thus, the line which contains point A is line l.

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When two straight lines or rays intersect at a shared endpoint, an angle is generated. The correct option is C, ∠XYZ ≅ ∠WYT.

When two straight lines or rays intersect at a shared endpoint, an angle is generated. An angle's vertex is the common point of contact. Angle is derived from the Latin word angulus, which means "corner."

Given that Angle XYZ is congruent to angle AOB, therefore, we can write,

∠XYZ ≅ ∠AOB

Also, it is mentioned that Angle AOB is congruent to angle WYT, Therefore, we can write,

∠AOB ≅ ∠WYT

Now, we can write the two congruency together as,

∠XYZ ≅ ∠AOB ≅ ∠WYT

∠XYZ ≅ ∠WYT

Hence, the correct option is C, ∠XYZ ≅ ∠WYT.

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Answer:2102.53

Step-by-step explanation:

1250e(0.065)8

Answer:    5/8 inch longer than 3/8 inch

Step-by-step explanation:  Each whole number, and also one inch, can be represented as a fraction. Thus one inch can be displayed as 4/4 or 5/5, or as our case can be 8/8. This means that every whole number, even one inch, can have as many parts as possible in a fraction, which depends on what type of fraction is displayed. Thus, one inch can have a maximum of 8/8 or 6/6, etc.

To determine how much one inch is longer than 3/8 inch, we will display one inch as 8/8 inches and reduce 3/8 inch from it.

The result is 8/8 - 3/8 = 5/8 inch. So one inch is 5/8 inch longer than 3/8 inch.

Elements in the same Group have the same number of valence electrons.

Elements in the same Period  have the same number of electron shells.

Metallic elements become Less reactive as you move left to right in a period.

Metallic elements become More  reactive as you move top to bottom in a group.