3. (02.02 MC)
The beginning mean bi-weekly wage in a certain industry is $2,498.00. If the mean bi-weekly wage grows by 3.25%, what is the new mean annual wage? (4 points)
$62,903.63
$64,948.00
$67,058.81
$69,079.13

Algebra 1 covers a variety of topics in algebraic mathematics, including linear and quadratic equations, graphing, polynomials, exponents, factoring, rational expressions, inequalities, functions, and data analysis.

Algebra 1 is typically a high school level course that covers a variety of topics in algebraic mathematics. The specific topics covered can vary somewhat depending on the school or district, but some common topics in Algebra 1 include:

1. Linear equations: Solving for unknowns in linear equations and systems of linear equations.

2. Quadratic equations: Solving for unknowns in quadratic equations and understanding their properties.

3. Graphing: Graphing linear and quadratic functions, and understanding their properties such as slope and intercepts.

4. Polynomials: Understanding and manipulating polynomials of different degrees.

5. Exponents: Understanding and working with exponential functions and expressions.

6. Factoring: Factoring polynomials and other algebraic expressions.

7. Rational expressions: Simplifying and manipulating rational expressions, and solving equations involving them.

8. Inequalities: Solving and graphing inequalities, including absolute value inequalities.

9. Functions: Understanding the concept of a function, and working with linear and quadratic functions.

10. Data analysis: Using algebraic methods to analyze and interpret data, including creating and interpreting graphs and tables.

These are some of the main topics that are typically covered in Algebra 1, though the exact curriculum can vary depending on the specific school or district.

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The solution to the inequality is y < -12 ( y less than negative 12).

Given inequality is;

y + 15 less-than 3

y+15<3

For solving the inequality, we will subtract 15 from both sides in order to find y.

Subtracting 15 from both sides of inequality

The solution to the inequality is y < -12 ( y less than negative 12).

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Answer:

-4w^6

Step-by-step explanation:

12/-3 = -4

w^9/w^3 = w^6

y^3/y^3 = 1

Answer: -4w^6

Answer:

option 1 = - 4w⁶

Step-by-step explanation:

attached the solution, hope that helps...

Answer:

Step-by-step explanation:

To evaluate the given expression, we need to substitute the given values for x, y, and z. The expression becomes:

yz + x²

Substituting the given values, we get:

(6.1 * 0.2) + (3.2^2)

This simplifies to:

1.22 + 10.24

Therefore, the value of the expression is approximately 11.46.

11.46

gimme brainlyest gang

Answer:

Surface area = (Perimeter of the base × Length of the prism) + (2 × Base Area) = (S1 + S2+ S3)L + bh; where 'b' is the bottom edge of the base triangle, 'h' is the height of the base triangle, L is the length of the prism

Answer:

y=(1/2)x+3

Step-by-step explanation:

We can see that the slope is 1/2 because for every 1 unit y goes up, you move 2 units in the x direction. Then we can see that the y intercept is 3.

If we plug in these values to our equation for a line (y=mx+b), where m is the slope and b is the y-intercept, we get:

y=(1/2)x+3 or y=.5x+3

Answer:

Is it the full question I mean what does it want next anyway?

But here's your answer :

3x^4 + 14x^3 + 23x^2 + 16x + 4

The price after the discount is,

⇒ $58.5

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Given that;

A jersey originally cots $50.

And, It was marked up 30% after a championship win and then discounted 10% a few months later.

Now, The markup price is,

⇒ $50 + 30% of $50

⇒ $50 + 30/100 × $50

⇒ $50 + $15

⇒ $65

And, After 10% discount the price is,

⇒ $65 - 10% of $65

⇒ 65 - 10/100 × 65

⇒ $65 - $6.5

⇒ $58.5

Thus, The price after the discount is,

⇒ $58.5

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Compute the Gaussian density for the following cases. (a) x=0, m=0, s-1. Give the name of question5a (b) x-2, m=0, s-1. The value of the account on January 1, 2021, would be $2,331.57.

To calculate the value of the account on January 1, 2021, we need to consider the compounding interest for each year.

First, we calculate the value of the initial deposit after three years (12 quarters) using the formula for compound interest:

Principal = $1,000

Rate of interest per period = 8% / 4 = 2% per quarter

Number of periods = 12 quarters

Value after three years = Principal * (1 + Rate of interest per period)^(Number of periods)

                           = $1,000 * (1 + 0.02)^12

                           ≈ $1,166.41

Next, we calculate the value of the additional $1,000 deposit made on January 1, 2019, after two years (8 quarters):

Principal = $1,000

Rate of interest per period = 2% per quarter

Number of periods = 8 quarters

Value after two years = Principal * (1 + Rate of interest per period)^(Number of periods)

                         = $1,000 * (1 + 0.02)^8

                         ≈ $1,165.16

Finally, we add the two values to find the total value of the account on January 1, 2021:

Total value = Value after three years + Value after two years

                ≈ $1,166.41 + $1,165.16

                ≈ $2,331.57

Therefore, the value of the account on January 1, 2021, is approximately $2,331.57.

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Answer:

It is an irrational number

Step-by-step explanation:

Answer:

See Explanation

Step-by-step explanation:

Let us assume that \( 5\sqrt 7\) is a rational.

Therefore, it can be expressed in the form of \( \frac{p}{q}\), where p and q are integers.

\( \implies 5\sqrt 7=\frac{p}{q}\)

\( \implies \sqrt 7=\frac{p}{5q}\)

\( \because \) p and q are integers.

\( \therefore \frac{p}{5q}\) is a rational number.

\( \implies \sqrt 7\) is rational (\( \because \) quotient of a rational number is rational)

But, it contradicts the fact that \(\sqrt 7\)is irrational.

So, \(5\sqrt 7\) is also irrational, because the product of rational and irrational is irrational.

This contradiction is arising out because of our wrong assumption that \( 5\sqrt 7\) is rational.

Hence, \( 5\sqrt 7\) is irrational.

Answer:

D

Step-by-step explanation:

the two triangles are similar so the proportion of similarity is equal to 3/12=1/4=>x/x+12=1/4=>4x=x+12=>x=4

Answer:

The answer is he will need 6/10 strips.

Convert 3/5 so that it has a denominator of 10. You know that 5 x 2 is 10, so you must multiply the numerator by 2 as well, giving you 6/10.

It's honestly very simple to work out and understand! Ps. Please pay attention in class it will help you so much in future references.

Hope that helps. x

Answer:

The answer is he will need 6/10 strips.

Convert 3/5 so that it has a denominator of 10. You know that 5 x 2 is 10, so you must multiply the numerator by 2 as well, giving you 6/10.

It's honestly very simple to work out and understand! Ps. Please pay attention in class it will help you so much in future references.

Step-by-step explanation:

The answer is he will need 6/10 strips.

Convert 3/5 so that it has a denominator of 10. You know that 5 x 2 is 10, so you must multiply the numerator by 2 as well, giving you 6/10.

It's honestly very simple to work out and understand! Ps. Please pay attention in class it will help you so much in future references.

Answer:

Step-by-step explanation:

I am sort. I have no idea

Answer:

The three straight paths intersect at different angles. In other words, the amountrequired to turn one path onto the other is different about each vertex. Thelargest angle is opposite the longest side, and the smallest angle is opposite theshortest side. If all three points of intersection look the same, the result is atriangle with three equal angles and three equal sides.

Step-by-step explanation:

Martha's claim that the 25% of the learners are girls, is correct.

In this question,

There are 900 boys and 300 girls at Eqinisweni secondary school.

Martha claims that 25% of the learners are girls.

We need to verify her claim by means of calculations.

Based on the given conditions, we formulate:

300 / (900 + 300)

We simplify above expression.

= 300 / 1200

= 1/4               ..................(Cross out the common factor)

Now multiply a number 25 to both the numerator and the denominator:

= (1 × 25)/(4 × 25)

= 25/200

Now we rewrite a fraction with denominator equals 100 to a percentage: 25%

This means, Martha's claim that the 25% of the learners are girls, is correct.

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Answer:

A

Step-by-step explanation:

\(\sqrt{\frac{1}{18} } =0.2357022604\\\frac{1}{6} \sqrt{2} =0.2357022604\\\frac{1}{3} \sqrt{x} =0.4714045208\\\sqrt{\frac{1}{2} } =0.7071067812\)

The only one that is equal to square root 1/18 is 1/6 square root 2 therefore A is the answer

Answer:

√{1/18}=A.) 1/6 square root 2 and

B.) 1/3 square root 1/2

Step-by-step explanation:

√{1/18}=0.2357

A.1/6 √2=0.2357

B.1/3×(√1/2)=0.2357

C .√1/2=0.707

Answer:

1. d

2. c

3. b

4. f

5. a

6. e

Step-by-step explanation:

Good Luck

Domain of f(x): All real numbers except x = -5.

Domain of g(x): All real numbers except x = 9 and x = -4.

To find the domain of a function, we need to determine the values of x for which the function is defined.

Let's start with function f(x) = (x - 5) / (x^2 + 10x + 25).

The denominator of the fraction is a quadratic expression, and for a fraction to be defined, the denominator cannot be zero. Therefore, we need to find the values of x that make the denominator equal to zero.

(x^2 + 10x + 25) = 0

Factoring the quadratic expression, we have:

(x + 5)(x + 5) = 0

From this equation, we can see that the only value of x that makes the denominator zero is -5.

Therefore, the domain of f(x) is all real numbers except x = -5.

Now let's consider function g(x) = (x - 9) / (x^2 - 5x - 36).

Similarly, we need to find the values of x that make the denominator equal to zero.

(x^2 - 5x - 36) = 0

We can factor this quadratic expression:

(x - 9)(x + 4) = 0

From this equation, we find that the values of x that make the denominator zero are x = 9 and x = -4.

Therefore, the domain of g(x) is all real numbers except x = 9 and x = -4.

In summary:

Domain of f(x): All real numbers except x = -5.

Domain of g(x): All real numbers except x = 9 and x = -4.

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Answer:

C. y=x

Step-by-step explanation:

If you use a graphing calculator and plot the points (-3,5) & (5,-3) and then graph y=x you can see it is the line of reflection.

Also when reflecting over the line y=x, we switch our x and y.

Answer:

Step-by-step explanation:

Combine like terms. The associative and commutative properties of addition apply, as does the distributive property.

__

1. (2x+5)+(3x-2) = (2x +3x) +(5 -2) = 5x +3

__

2. (3x-2)-(2x+5) = 3x -2 -2x -5 = (3x -2x) +(-2 -5) = x -7

__

3. (2x+5)-(3x-2) = 2x +5 -3x +2 = (2x -3x) +(5 +2) = -x +7

_____

Additional comment

Note that swapping the order of operands in a subtraction problem (problems 2 and 3) will cause the sign of the result to reverse.

Answer:

1. = 5x+3

Step-by-step explanation:

Answer:

prime factors are factors of a number that are prime numbers, (meaning they can only be divided by 1 and itself), while odd numbers are numbers that are odd..

all odd numbers have prime factors but not all prime factors are odd numbers

Answer:

4/3 or 1 1/3

Step-by-step explanation:

2/3 x 2/1 gets you 4/3

That's an improper fraction, so you can simplify it to 1 1/3 if necessary.

Answers:

==========================================

To find the best deal, we'll need to find the unit price. This is the price for one can, or the price per can.

To find the price per can, we divide the total cost over the number of cans.

We see that Store Z offers the best deal since the unit price (59 cents per can) is the cheapest of the three stores.

----------

Extra info (optional section)

If you're curious why we divide in the order we did, you can think of it like this:

Store X charges $2.48 for 4 cans. That means we can set up the ratio shown below

4 cans : 2.48 dollars

The unit price applies to 1 can. To turn that "4 cans" into "1 can", we divide both sides by 4

4 cans : 2.48 dollars

4/4 cans : 2.48/4 dollars .... divide both sides by 4

1 can : 0.62 dollars

1 can : 62 cents

The same sort of steps will be done for Store Y as well. So that is why we divide the total cost over the number of cans to get the unit price.

Answer:

$80 in commission

Step-by-step explanation:

Find her commission by multiplying 400 by 0.2:

400(0.2)

= 80

So, last month, she earned $80 in commission

By likelihood, she can utilize the pens in 1024 distinct ways during the week.

Probability is the study of possible outcomes of events, together with the probabilities and distributions of those occurrences.

Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out. Statistics is the study of events subject to probability.

To calculate probability, divide the total number of outcomes by the total number of possible possibilities. There are differences between probability and odds.

Odds are computed by dividing the likelihood that an event will occur by the likelihood that it won't.

From the stated circumstance,

Total ways = \(4^{5}\)= 1024

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Answer:

4x+6=-6

Step-by-step explanation: