Tori and Matias work as jewelers. Tori has an hourly wage of $24 and gets overtime for every hour she works over 40 hours. The overtime pay rate is 150% of the normal rate. Matias makes 5% commission on all jewelry he sells. Who earns more money in a week if Tori works 60 hours and Matias sells $21,000 worth of jewelry? Explain.

Answer:

9 unread pages

Step-by-step explanation:

Take the total number of pages and subtract the pages that have been read

55-46 = 9

There are 9 pages that are unread

The given statement: " all polynomials are rational functions but not all rational functions are polynomials." is true; its counterexample will be: Not all polynomials are rational functions but all rational functions are polynomials.

Polynomial refers to an algebraic equation that has more than two terms, particularly the accumulation of numerous phrases that each include a different power of the same variable (s).

Now,

Further,

Hence, The given statement: " all polynomials are rational functions but not all rational functions are polynomials." is true; its counterexample will be: Not all polynomials are rational functions but all rational functions are polynomials.

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Given:

Then:

Dée Trader's rate of return on her investment in Internet Dreams, considering the share price decrease and the interest expense, is 8.5%.

Dée Trader purchased 300 shares of Internet Dreams at $40 per share, resulting in an initial investment of $12,000 (300 shares * $40). However, since she borrowed $4,000, her out-of-pocket investment is $8,000 ($12,000 - $4,000).

At the end of the year, the share price falls to $30 per share. The market value of her investment is now 300 shares * $30, which equals $9,000.

Now, let's calculate the interest expense on the borrowed amount. The interest rate is 8%, so the interest expense for the year is 8% of $4,000, which equals $320.

To determine the net profit or loss, we subtract the initial investment and the interest expense from the market value of the investment. In this case, the net profit is ($9,000 - $8,000) - $320, which equals $680.

Finally, we can calculate the rate of return by dividing the net profit by the initial investment and expressing it as a percentage. The rate of return is ($680 / $8,000) * 100, which equals 8.5%.

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Answer: SAA

Step-by-step explanation: I just had this one.

The truck travelled 0.42 miles per minute

The given parameters are:

Distance = 75 miles

Time = 3 hours

Convert time to minutes

Time = 3 * 60 minutes

Time = 180 minutes

The speed is calculated as:

Speed = Distance/Time

This gives

Speed = 75 miles/180 minutes

Evaluate

Speed = 0.42 miles per minutes

Hence, the truck travelled 0.42 miles per minute

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"Why did you choose the outfit you wore today?" is an example of a open-ended question question.

An illustration of an open-ended question is "why did you choose the outfit you wore today?" An open-ended question is one that invites a range of responses and motivates the reply to give more specific information.

In this situation, a question is open-ended and is meant to inspire a unique response based on the person's preferences, views, or situation. In research, interviews, counseling, and other situations where gathering in-depth and varied information is desired, open-ended questions are frequently employed.

They can help researchers and practitioners better understand people's experiences and perspectives by offering insightful information about their thoughts, feelings, and behaviors.

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Answer: 31 m/s

Step-by-step explanation:

70 miles per hour = 112654 meters per 3600 seconds = 31.3 = 31 m/s

Answer:

y= 2/3x + 2

Step-by-step explanation:

Answer:

36.5 Km

Step-by-step explanation:

6.75 *4 +9.5

27 +9.5 = 36.5

The number of kilometers that he has to run will be 16.25 kilometers.

Algebra is the study of algebraic expressions, while logic is the manipulation of those concepts.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to answer the problem correctly and precisely.

Adam runs 6.75 kilometers every day for 4 days. On the fifth day, he runs 9.5 kilometers.

The number of kilometers that he has to run will be given by the summation. Then we have

⇒ 6.75 + 9.5

⇒ 16.25 kilometers

The number of kilometers that he has to run will be 16.25 kilometers.

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If the test statistic falls below -1.711, we can reject the null hypothesis in favor of the alternative hypothesis, H1: σ < 0.14 and the critical value is -1.711.

To find the critical value for this hypothesis test, we first need to determine the level of significance, denoted by alpha (α). Let's assume that the level of significance is 0.05.

Next, we need to determine the degrees of freedom (df) for the t-distribution. Since we have a sample size of 25, the degrees of freedom is 24 (df = n - 1).

Using a t-table or calculator, we can find the critical value for a one-tailed test with a level of significance of 0.05 and 24 degrees of freedom. The critical value is -1.711.

Therefore, if the test statistic falls below -1.711, we can reject the null hypothesis in favor of the alternative hypothesis, H1: σ < 0.14.

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The given cost function is C(x)1 C(x) = 1,000 + ax + x?/ 4 and if the marginal cost at x is 400 units is -$100, then the value of a is - 150.

Given information is as follows:

Cost function C(x)1 C(x) = 1,000 + ax + x?/ 4

For x = 400, the marginal cost is $100.

Hence, we can write the following equation

marginal cost at x = 400

= C’(400) = a + 1/8 * 400

= a + 50

So, a + 50 = - 100

a = - 150

Conclusion: The given cost function is C(x)1 C(x) = 1,000 + ax + x?/ 4 and if the marginal cost at x is 400 units is -$100, then the value of a is - 150.

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To determine the number of observations below the median, we first need to find the median of the given sample. The median is the middle value when the data is arranged in ascending or descending order.

Therefore, the correct answer is:

A. 2.0

Arranging the monthly benefits in ascending order:

$672, $761, $840, $856, $965, $1,099

Since the sample size is even (6 observations), the median is the average of the two middle values, which are $840 and $856.

Median = ($840 + $856) / 2 = $848

Next, we count the number of observations that are below the median ($848).

Observations below the median:

$672

$761

There are two observations below the median.

Therefore, the correct answer is:

A. 2.0

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Answer:

Find two points on the line and write them out: (x1,y1) (x2,y2)

Use this formula: y2-y1/x2-x1

The answer you get is the slope which is "m" in y=mx+b

Now in y=mx+b plug in one point's y into y and x into x. 

Find b

Answer:

Use points from the graph to create a table of data points. Then find a rule for the data in the table and write an equation that represents that rule. Lastly, check that the equation holds true for other data points in the table or graph.

Step-by-step explanation:

Answer:

"Choices A & D": (6 x 10) + (6 x 5). &  (15 x 3) + (15 x 3) are the correct number sentences.

Step-by-step explanation:

 1. Parentheses, ie. (6 + 10) - (11 x 5).

 2. Exponents, ie. \(a^{c}\).

 3. Division, ie. 11÷5.

 4. Addition, ie. 12+1.

 5. Subtraction, ie. 10-5.

Number Sentences:

a. (6 x 10) + (6 x 5).

  ii. 6 x 10 = 60.

  iii. 6 x 5 = 30.

  iv. Then we add the products.

  v. 60 + 30 = 90.

  vi. So this choice IS CORRECT.

b. 6 x 10 + 5.

  ii. 6 x 10 = 60.

  iii. Then we add the product to 5.

  iv. 60 + 5 = 65.

  v. 65 DOES NOT equal 90 so this is one of the incorrect number sentences.

c. (3 x 10) + (6 x 5).

  ii. 3 x 10 = 30.

  iii. 6 x 5 = 30.

  iv. Then we add the products.

  v. 30 + 30 = 60.

  vi. 60 DOES NOT equal 90 so this is one of the incorrect number sentences.

d. (15 x 3) + (15 x 3).

  ii. 15 x 3 = 45.

  iii. 15 x 3 = 45.

  iv. Then we add the products.

  v. 45 + 45 = 90.

  vi. So this choice IS CORRECT.

e. 6 + 15.

 i. 6 + 15 = 21.

ii.21 DOES NOT equal 90 so this is one of the incorrect number sentences.

Please let me know if this helped (photo also attached)!!!

At least one of the two shorter sides of a right-angled triangle with integer side lengths must be a multiple of 3.

A Pythagorean triple is defined as a set of three positive integers, a, b, and c, such that a² + b² = c². Each integer is a

length of the sides of a right-angled triangle (one with an angle measuring 90 degrees), with c being the length of the

hypotenuse. Let us assume that a and b are the lengths of the two shorter sides of a right-angled triangle with a² + b² =

c². Let's express a and b in terms of multiples of 3. If the right-angled triangle's two shorter sides are expressed as a =

3k and b = 3m + 1, where k and m are integers, then we have a² = 9k² and b² = 9m² + 6m + 1. When a² and b² are

added, we get a² + b² = 9k² + 9m² + 6m + 1 = 3(3k² + 3m² + 2m) + 1. This is not a multiple of 3. If we use a = 3k and b =

3m + 2, where k and m are integers, we can repeat the process. We'll get a² = 9k² and b² = 9m² + 12m + 4. If we add a²

and b², we get a² + b² = 9k² + 9m² + 12m + 4 = 3(3k² + 3m² + 4m + 1) + 1. Once again, this is not a multiple of 3. As a

result, one of the right-angled triangle's two shorter sides must have a length that is a multiple of 3.

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The larger cup can hold 144.51 in³ more water than the smaller cup.

The volume of a cone of radius r and height h is given by one third of the multiplication of pi = 3.14 by the radius squared by the height, hence:

V = 3.14r²h/3

V = 1.0472r²h.

For the smaller cup, the dimensions are r = 2 in and h = 3 in, hence the volume is given as follows:

V = 1.0472 x 2² x 3

V = 12.57 in³.

For the larger cup, the dimensions are r = 5 in and h = 6 in, hence the volume is given as follows:

V = 1.0472 x 5² x 6

V = 157.08 in³.

Then the difference is of:

157.08 - 12.57 = 144.51 in³.

The cones are given by the image presented at the end of the answer.

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Answer:

15x

Step-by-step explanation:

5 (x+2x)

5 (3x)

15x

Answer:

15x

Step-by-step explanation:

4x + 8x + x + 2x

= 15x

Answer: \(y=-6x^2\) never touches the y-axis

\(y=-6x^2-4\) touches the y-axis at -4

Step-by-step explanation:

Because -4 means that the graph touches the y-axis at negative 4, not having it means that it never touches the y-axis

Answer:

.28

Step-by-step explanation:

trust

Answer:

0.28

Multiply 1.40 by 1/5 to get the answer because 20% is equivilant to 1/5

Answer:

y^5

Step-by-step explanation:

you subtract the exponents

Answer:

First equation: 1/2

Second equation: -1/3

Step-by-step explanation:

We get the following equations:

\(\frac{1}{3}x+\frac{1}{6}y=2\)          first equation

\(\frac{1}{2}x+\frac{3}{4}y=-3\)       2nd equation

Then, to obtain opposite terms for the x variable, we need to identify the coefficient of the x for the 1st equation and the 2nd equation as:

The coefficient for x in the 1st equation is \(\frac{1}{3}\) and the coefficient for x in the 2nd equation is \(\frac{1}{2}\)

Finally, we need to multiply 1st equation with the coefficient of the 2nd equation and multiply the 2nd equation with the negative of the coefficient of the 1st equation.

We multiply by the negative of the coefficient of the 1st equation because we need to find opposite terms for x.

So, the first equation is equal to:

\((\frac{1}{3}x+\frac{1}{6}y)*\frac{1}{2} =2*\frac{1}{2} \\\frac{1}{6}x+\frac{1}{12}y=1\)        

The second equation is:

\((\frac{1}{2}x+\frac{3}{4}y)*\frac{-1}{3} =-3*\frac{-1}{3} \\\frac{-1}{6}x+\frac{-1}{4}y=1\)

Now, the coefficients for x, 1/6 and -1/6, are opposite terms.

Answer:3, -2

Step-by-step explanation:

Answer:

To find the least common denominator (LCD) of

1

5

5

1

​

 and

4

15

15

4

​

, we can use the following steps:

Step 1: Find the prime factorization of each denominator.

5

=

5

15

=

3

⋅

5

5=5

15=3⋅5

Step 2: Identify the common and uncommon prime factors.

The common prime factor is 5, and the uncommon prime factor is 3.

Step 3: Multiply the common and uncommon prime factors to get the LCD.

�

�

�

=

3

⋅

5

=

15

LCD=3⋅5=15

Therefore, the LCD of

1

5

5

1

​

 and

4

15

15

4

​

 is 151.

To convert

1

5

5

1

​

 and

4

15

15

4

​

 to fractions with a common denominator of 15, we need to multiply the numerator and denominator of

1

5

5

1

​

 by 3, and the numerator and denominator of

4

15

15

4

​

 by 1:

1

5

⋅

3

3

=

3

15

4

15

⋅

1

1

=

4

15

5

1

​

⋅

3

3

​

=

15

3

​

15

4

​

⋅

1

1

​

=

15

4

​

Now that both fractions have the same denominator, we can add them:

3

15

+

4

15

=

7

15

15

3

​

+

15

4

​

=

15

7

​

Therefore, the sum of

1

5

5

1

​

 and

4

15

15

4

​

 with a common denominator of 15 is

7

15

15

7

​

 2.

Answer:

15

Step-by-step explanation:

What numbers do 5 and 15 both go into?

The smallest number is 15

5*3 =15

15*1 = 15

The least common denominator is 15

The sum of eleventh to twentieth terms (inclusive) of the Arithmetic Progression sequence (7, 12, 17, 22,...) will be 795.

As per the question statement, we are provided with an arithmetic sequence (7, 12, 17, 22,...),

And we are required to calculate the sum of eleventh to twentieth terms (inclusive), for the above mentioned series.

To solve this question, we first need to identify the pattern of given sequence (7, 12, 17, 22,...), which is, every successing term is 5 more than the it's predecessing term, starting with 7. This type of a series, having a constant or common difference between every consecutive term is known as an Arithmetic Progression (A.P.), and the sum of the values in an A.P. can be calculated by the formula,

[S = (n/2){2a + (n - 1)d}]

Where, "S" is the value of the sum of the first "n" terms of an A.P., whose first element is "a" and the common difference between every consecutive term is "d".

Here, to calculate of the sum of eleventh to twentieth terms (inclusive) of the A.P. (7, 12, 17, 22,...), we will subtract the sum of the first 10 terms of our concerned series from the sum of it's first 20 terms, to obtain our desired answer, i.e.,

[S₍₁₁₋₂₀₎ = (S₂₀ - S₁₀)]

Or, [(S₁₁ + S₁₂ + S₁₃ +..+ S₂₀) = (S₁ + S₂ + S₃ +...+ S₁₀ + S₁₁ + S₁₂ + S₁₃ +..+ S₂₀) - (S₁ + S₂ + S₃ +...+ S₁₀)]

Since the first term of our concerned A.P. is 7, i.e., (a = 7), and the common difference is 5, i.e., (d = 5), and using these values in the above mentioned formula to calculate the sum of the first "n" terms of an A.P., we get]

S₍₁₁₋₂₀₎ = [(20/2){(2 * 7) + (20 - 1)5}] - [(10/2){(2 * 7) + (10 - 1)5}]

Or, S₍₁₁₋₂₀₎ = [10{14 + (19 * 5)}] - [5{14 + (9 * 5)}]

Or, [S₍₁₁₋₂₀₎ = {10(14 + 95)} - {5(14 + 45)}]

Or,  [S₍₁₁₋₂₀₎ = {(10 * 109) - (5 * 59)]

Or, [S₍₁₁₋₂₀₎ = (1090 - 295)]

Or, (S₍₁₁₋₂₀₎ = 795)

Hence, the sum of eleventh to twentieth terms (inclusive) of the arithmetic sequence (7, 12, 17, 22,...) will be 795.

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An expression is defined as a set of numbers, variables, and mathematical operations.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The expression that is equivalent to 2.3p – 10.1 = 6.5p – 4 – 0.01p are given below,

If the given expression 2.3p – 10.1 = 6.5p – 4 – 0.01 is simplified, then the expression can be written as,

2.3p – 10.1 = 6.5p – 4 – 0.01

2.3p – 10.1 = 6.49p – 4

Thus, Option A is one of the option.

Using the multiplication property of Equality, if we multiply both the sides of the equation by 100, then we will get,

230p – 1010 = 650p – 400 – p

Thus, c is one of the option.

Hence, the correct options are A and C.

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Answer:

x = - 3 ± \(\sqrt{10}\)

Step-by-step explanation:

Given

4x² + 24x = 4 ( divide through by 4 )

x² + 6x = 1

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(3)x + 9 = 1 + 9

(x + 3)² = 10 ( take the square root of both sides )

x + 3 = ± \(\sqrt{10}\) ( subtract 3 from both sides )

x = - 3 ± \(\sqrt{10}\)

Answer:

X=1/8

Step-by-step explanation:

Calculate the product 4x×2 + 24x = 4

Collect like terms 8x + 24x = 4

Divide both sides of the equation by "32" 32x = 4

Solution x = 1/8

Answer: 35 i think is the answer

Step-by-step explanation:

Answer:

2 and 12;

4 and 10;

5 and 9

6 and 8

Step-by-step explanation:

Given

Roll of two number cubes

Required

Determine the sums which have equal chance

Represent the sample space of both number cubes with S1 and S2

\(S_1 = \{1,2,3,4,5,6\}\)

\(S_2 = \{1,2,3,4,5,6\}\)

Next, get the outcome of roll two number cubes

Outcome = \((1,1)(1,2)(1,3)(1,4)(1,5)(1,6)\ (2,1)(2,2)(2,3)(2,4)(2,5)(2,6)\ (3,1)(3,2)(3,3)(3,4)(3,5)(3,6)\)\((4,1)(4,2)(4,3)(4,4)(4,5)(4,6)\ (5,1)(5,2)(5,3)(5,4)(5,5)(5,6)\ (6,1)(6,2)(6,3)(6,4)(6,5)(6,6)\)

Next, get the sample space;\(S = \{2,3,4,5,6,7, 3,4,5,6,7,8, 4,5,6,7,8,9, 5,6,7,8,9,10, 6,7,8,9,10,11, 7,8,9,10,11,12\}\)

Reorder from lowest to highest\(S = \{2,3,3,4,4,4,5,5,5,5,6,6,6,6,6,7,7,7,7,7,7,8,8,8,8,8,9,9,9,9,10,10,10,11,11,12 \}\)

Next, form a frequency table

Sum -- Frequency

2 ----  -- 1

3 ----  -- 2

4 ----  -- 3

5 ----  -- 4

6 ----  -- 5

7 ----  -- 6

8 -----  -- 5

9 - ------ 4

10 ---  -- 3

11 --- ---- 2

12 ------ 1

From the above table, we can now determine the two sums that have equal probability;

The two sums that have equal probability have the same frequency;

Hence;

2 and  12 have the same chance of occurring

4 and  10 have the same chance of occurring

5 and  9 have the same chance of occurring

6 and  8 have the same chance of occurring

Answer:

5 and 8

Step-by-step explanation: