The table below shows Penelope's earnings on the job. Time (hours) Earnings (dollars) 20 $362 22 $398.20 32 $579.20 If e represents her total earnings in dollars and cents for any number of hours worked, h, write a proportional equation for e in terms of h that matches the context.

Let's evaluate the given pairs of expressions that are equivalent ;C 15a + a + 1 and 16a + 1

Let's begin with the left-hand side expression of pair C 15a + a + 1We will combine like terms: 1

5a + a = 16a;

Thus,

C 15a + a + 1 = 16a + 1

The expression in pair C is equivalent to 16a + 1.The pair of expressions in option C is equivalent.Next, let's evaluate the given expressions in pair

E;2(w + 1) + 3w and 5w + 1

We will simplify the expression in pair

E;2(w + 1) + 3w = 2w + 2 + 3w

Let's combine like terms;

2w + 3w = 5w2(w + 1) + 3w = 5w + 2

The expression in pair E is equivalent to 5w + 2

.The pair of expressions in option E is equivalent.

Hence, the pairs of expressions that are equivalent are (C) 15a + a + 1 and 16a + 1 and (E) 2(w + 1) + 3w and 5w + 2.

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Answer:

100 Degrees is the value of y.

Step-by-step explanation:

ALL triangles add up to 180 degrees, and in this figure, 40 degrees is on two of the 3 angles so, 40+40=80, 180-80=100.

100 Degrees = y

Answer:

6 in the first box

5 in the second box

Step-by-step explanation:

i think that they are all either multiplied by 6 or divided by six

Answer:

3

Step-by-step explanation:

The maximum temperature during summer in that year was 34°C.

It's not possible for the maximum temperature in Gulmarg, Kashmir to rise by 44°C during the summer.

A temperature rise of that magnitude would be extremely unusual and potentially dangerous.

However, assuming that the question meant to ask about the difference between the minimum temperature in January and the maximum temperature in summer, we can proceed with the calculation.

The minimum temperature in January was -10°C, and if we add 44°C to it, we get:

-10°C + 44°C = 34°C

Therefore, the maximum temperature during summer in that year was 34°C.

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Answer:

Yes you are right!!!!!

The price that maximizes revenue is $10 per ticket, which will bring in $1,500,000 in revenue. 60,000 people will attend at that price.

Price is the amount of money that is required to purchase or obtain a good or service. It is a numerical value that is assigned to a particular product or service and is used to indicate its value in the market. The price of a product or service is determined by a variety of factors, including the cost of production, supply and demand, competition, and market conditions.

In the given question,

To maximize revenue, we need to find the price per ticket that will bring in the greatest total revenue. Let's start by figuring out how many people will attend at various price points:

At $20 per ticket, 40,000 people attend.

At $15 per ticket, 50,000 people attend.

At $10 per ticket, 60,000 people attend.

At $5 per ticket, 70,000 people attend.

Now we can calculate the total revenue at each price point:

At $20 per ticket, revenue is 40,000 × $20 + 40,000 × $5 = $1,000,000.

At $15 per ticket, revenue is 50,000 × $15 + 50,000 × $5 = $1,250,000.

At $10 per ticket, revenue is 60,000 × $10 + 60,000 × $5 = $1,500,000.

At $5 per ticket, revenue is 70,000 × $5 + 70,000 × $5 = $700,000.

From these calculations, we can see that the price that maximizes revenue is $10 per ticket, which will bring in $1,500,000 in revenue. 60,000 people will attend at that price.

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Answer:

1

Step-by-step explanation:

Anything to the exponent of 0 is 1.

Answer:

Step-by-step explanation:

The standard deviation of the sampling distribution of sample means is given by the formula:

standard deviation = population standard deviation / sqrt(sample size)

Here, the population standard deviation is 0.8 years, and the sample size is 38. Substituting these values into the formula, we get:

standard deviation = 0.8 / sqrt(38)

standard deviation ≈ 0.13

Rounding to two decimal places, the standard deviation of the sampling distribution of sample means is approximately 0.13 years.

The expression that simplify to rational number are as follows:

A rational number is a number that is in the form of p/q, where p and q are integers, and q is not equal to 0.

In a simpler terms,  If a number can be expressed as a fraction where both the numerator and the denominator are integers, the number is a rational number.

Rational numbers can also be expressed in decimal form.

Rational numbers have terminating decimals.

Therefore, let's find the rational simplification in the options.

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Answer:

  x ≥ 5

Step-by-step explanation:

You want the domain of the equation y = √(x -5) -1.

The domain of the function is the set of x-values for which it is defined. The square root is not defined for negative values, so the domain is ...

  x -5 ≥ 0

  x ≥ 5 . . . . . . the domain of this function

__

Additional comment

The range is the set of y-values the function may produce. Here, that set of values is y ≥ -1.

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The value of n in the right triangle given is: 15.

Area of a triangle= 1/2 * width * height

We are given the following parameters for the right triangle:

Width = n + 3

Height = n + 3 - 8 = n - 5

Area of the triangle = 90 cm²

Substitute the values:

90 = 1/2 * (n - 5)(n + 3)

180 = n² - 2n - 15

n² - 2n - 15 - 180 = 0

n² - 2n - 195 = 0

Factorize:

(n - 15)(n + 13) = 0

n = 15 or n = -13

n = 15

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Answer:iiii

Step-by-step explanation:iiiii

Answer:

17.9

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

Ok, so I see that the x-intercept is (4,0), while the y-intercept is(-3,0)

Slope is rise/run

Between these two points, the line rose 3 and horizontally went 4 units to the right. Therefore, the slope is 3/4.

Feel free to tell me if I did anything wrong! :)

Also, if you're still confused, I could explain it another way.

1)Gross Yearly Income = Hourly Wage × Hours per Week × Weeks in a Year

Gross Yearly Income = $15/hour × 40 hours/week × 52 weeks/year

Gross Yearly Income = $31,200

2)Gross Monthly Income = Gross Yearly Income / Months in a Year

Gross Monthly Income = $31,200 / 12 months

Gross Monthly Income ≈ $2,600

The solutions are: x = ln(2) for 2eˣ = 4,  x = ln(25)/4 for e⁴ˣ = 25, x = ln(72) for eˣ = 72 and x = ln(124)/3 for e³ˣ = 124.

To solve these equations using natural logarithm, we can use the following rules:

Using these rules, we can solve the given equations as follows:

2eˣ = 4

Divide both sides by 2 to get

eˣ = 2.

Take the natural logarithm of both sides to get

ln(eˣ) = ln(2).

Using rule 1 above, we can simplify ln(eˣ) to x, and we get

x = ln(2).

e⁴ˣ = 25

4x = ln(25).

Divide both sides by 4 to get

x = ln(25)/4.

eˣ = 72

Take the natural logarithm of both sides to get

x = ln(72).

e³ˣ = 124

Take the natural logarithm of both sides to get

3x = ln(124).

Divide both sides by 3 to get

x = ln(124)/3.

For the second set of equations, we use the same rule as above

So, we have

ln(x - 3) = 2

x - 3 = e²

x = e² + 3.

x ≈ 10.389.

Therefore, the solution is x ≈ 10.389.

ln(2t) = 4

2t = e⁴

t = 0.5 * e⁴

t ≈ 27.299.

Therefore, the solution is t ≈ 27.299.

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The equation of the line that passes through the point (7, 6) with slope 0 is y = 6

Given,

The points which the line passes, (x₁, y₁) = (7, 6)

Slope of the line, m = 0

We have to find the equation of the line:

We know that,

y - y₁ = m(x - x₁)

So,

y - 6 = 0(x - 7)

y - 6 = 0

y = 6

That is,

The equation of the line that passes through the point (7, 6) with slope 0 is y = 6

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The correct answer is an option (d): Impossible.

Both the geometric mean and harmonic mean require positive values. However, in the given set of values, we have negative values (-11 and -14), which makes it impossible to calculate the geometric mean and harmonic mean. Therefore, the correct answer is that it is impossible to calculate the geometric mean and harmonic mean for the given values.

Answer:

24

Step-by-step explanation:

the rate of change is represented by the 24,  just like in the slope-intercept equation  y = mx + b, where "m" represents the slope, or rate of change.  

In mathematics, notation is used to simplify and make our understanding of equations and problem statements easier.

Mathematical notation makes use of various symbols in order to represent operations, unspecified numbers, relations, and any other mathematical objects or entities, and proceeds to assemble them into understandable expressions and formulas.

A notational convention is a set of representatives consisting of symbols that are used to express mathematical equations, in this case, the notational convention adopted is that all the free variables of a formula are among u1, u2, u3 . . . un. as shown in the image provided.

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Answer:

the first one on the list because it said refect

Answer:

B. 6

Step-by-step explanation:

v;nthrrrreomorejlfufu

Option D is the correct answer.

From the graph, we can conclude that,

1. The two lines are continuous lines and not broken lines. So, the inequality sign should be either ≤ or ≥.

2. The points on the lines of the shaded region are also included in the solution.

The only option that matches with the above conditions is option D. So, option D is the correct answer.

Let us verify it.

Now, let us consider a point that is inside the shaded region and also on any one line.

Let us take (0, 2).

Plug in 0 for x and 2 for y in each of the options and check which inequality holds true.

Considering the inequalities,

y ≥ 3x - 2

x + 2y ≤ 4

Solving we get,

2 ≥ 3(0) - 2

2 ≥ -2

x + 2y ≤ 4

0 + 2(2) ≤ 4

4 ≤ 4

Here, both inequalities are correct.

So, option D is the correct answer.

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The complete question is =

Which system of linear inequalities is graphed?

A. y < 3x-2

x + 2y ≥ 4

B. y < 3x - 2

x + 2y > 4

C. y > 3x - 2

x + 2y < 4

D. y ≥ 3x - 2

x + 2y ≤ 4

The other five function values are sin(Ф)= -4/5, tan(Ф)= 4/3, cot(Ф)= 3/4, sec(Ф)= -5/3 and csc(Ф)= -5/4.

Since x is in IIIrd quadrant sin and cos will be negative but tan will be positive

given cos x= -3/5

We know that

sin²x + cos²x=1

sin²x+(-3/5)²=1

sin²x+9/25=1

sin²x=1-9/25

sin²x=16/25

sinx= ±√16/25

sinx= ±4/5

since, x is in IIIrd quadrant.

As sinx is negative IIIrd quadrant,

∴sinx= -4/5

tanx=sinx/cosx

      =-4/5÷-3/5

      =4/3

cotx=1/tanx

      =1/4/3

      =3/4

cosecx=1/sinx

           =1/-4/5

           =-5/4

secx=1/cosx

       =1/-3/5

       =-5/3

Hence, The other five function values are sin(Ф)= -4/5, tan(Ф)= 4/3, cot(Ф)= 3/4, sec(Ф)= -5/3 and csc(Ф)= -5/4.

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Answer:

y = \(\frac{2}{3}\) x + 3

Step-by-step explanation:

y = mx + b is the slope intercept form of a line.  You need to know the m (slope) and the b (y intercept) to write the equation.

We are given the m (slope) to be \(\frac{2}{3}\).  We will use 3 from the point given for our x and the 5 from the point given for our y.  We will use these to solve for the b (y-intercept)

y = mx + b

5 = \(\frac{2}{3}\) (3) + b

5 = \(\frac{2}{3}\) · \(\frac{3}{1}\) + b

5 = \(\frac{6}{3}\) + b

5 = 2 + b  Subtract 2 from both sides

3 = b

We can now write the equation.  Our slope (m) is  \(\frac{2}{3}\) and our y-intercept (b) is 3.

y = \(\frac{2}{3}\) x + 3

Helping in the name of Jesus.

Answer:

whats the question

The item most likely to weigh 2 kilograms is a roast chicken.

The size, breed, and any other ingredients or stuffing used can all affect the weight of a roast chicken. Weights of roast chickens can range from petite ones weighing less than 1 kilogram to larger ones weighing more than 2 kilograms.

The other things that we have there would either weigh less than 2 Kg such as a tea bag or much more than 2 Kg such as a horse. The egg and the tea a very light and would be less than 2 Kg in weight while the bag and the horse would be above 2 Kg in weight.

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