Each day,Faye earns $137 for driving a bus. How much will she earn if she works for 26 days?

We have graphed the function f(x) = x + 3 and it's parent function f(x) = x in the image attached below and the parent graph has been transformed 3 units up onto the y axis.

A function is a set of outputs for some set of inputs we can graph function s in x-y co-ordinate.

According to the given question we have to graph a function and it's parent function.

We know a parent function is a function which is free from any transformation so parent function of f(x) = x + 3 is f(x) = x.

f(x) = x implies y = x.

Some points are (-5,-5), (0,0), (2,2).

Graph of these function is attached in the image below.

f(x) = x + 3 here when x = 0 y = 3 implies the whole graph has been transformed 3 units up onto the y axis.

Image of this transformed graph has also been attached.

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Answer:

Therefore, after 12 years the car will value $6,765.35.

Step-by-step explanation:

The cost C (in dollars) for ordering and storing x units is C= 2x+ 500,000/x. So, by using calculus technique we get that an order size of 500 units will produce a minimum cost.

To find the order size that will produce a minimum cost, we need to take the derivative of the cost function with respect to x and set it equal to zero. Then we can solve for x.

C(x) = 2x + 500,000/x

C'(x) = 2 - 500,000/x^2

Setting C'(x) equal to zero, we have:

2 - 500,000/x^2 = 0

Solving for x, we get:

x^2 = 500,000/2

x = \(\sqrt{(250,000)\)

x ≈ 500

Therefore, an order size of 500 units will produce a minimum cost.

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Answer: A is cheaper

Step-by-step explanation: In the plan A, he pays $270( 45×6) as fee

Then $50/month for racket which is $300

total270+300=570

In plan b he pays 75 per month which is $450 and $37.5 on racket per month which is $225 making a total of $675

Difference in 6months is 675-570= $105 saved

Answer: 105

Step-by-step explanation:

did test

The intercepts are the points where the graph crosses the x or y-axis

The functions are given as:

\(f(x) = x^2\)

\(g(x) = x^2 - 3\)

Function f(x)

\(f(x) = x^2\)

The x-intercept is calculated as follows:

Set f(x) to 0

\(x^2 = 0\)

Solve for x

\(x = 0\)

The y-intercept is calculated as follows:

Set x to 0

\(f(0) = 0^2\)

\(f(0) = 0\)

Hence, the intercepts are 0

Function g(x)

\(g(x) = x^2 - 3\)

The x-intercept is calculated as follows:

Set g(x) to 0

\(x^2 - 3 = 0\)

Solve for x

\(x^2 = 3\)

\(x = \±\sqrt 3\)

The y-intercept is calculated as follows:

Set x to 0

\(g(x) = x^2 - 3\)

\(g(0) = 0^2 - 3\)

\(g(0) = - 3\)

The x-intercepts are \(\±\sqrt 3\), while the y-intercept is -3

By comparing the intercepts of f(x) and g(x),

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The correct option that indicates how Christa sliced the rectangular pyramid is the second option.

Christa sliced the pyramid perpendicular to its base through two edges.

A rectangular pyramid is a pyramid with a rectangular base and four triangular faces.

The height of the cross section indicates that the location where Christa sliced the shape is lower than the apex of the pyramid.

The trapezoid shape of the cross section of the pyramid indicates that the top and base of the cross section are parallel, indicating that Christa sliced the pyramid parallel to a side of the base of the pyramid, such that it intersects two of the edges of the pyramid

The correct option is therefore the second option;

Christa sliced the pyramid perpendicular to its base through two edges

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Answer:

you have to take away you word they said how many

Answer:

The book is 270 pages long.

Answer:

The answer is 6.5

Step-by-step explanation:

"In which quadrant(s) is csc(x) positive?"

Answer:

C. Quadrants I and II

csc(x) is positive in quadrants I and II.

What is quadrant?

"For an acute angle x, \(csc(x)=\frac{1}{sin(x)}\)"

For given question,

We know that the ASTC rule.

The abbreviation for 'all sin cos tan' rule in trigonometry.

According to this rule,

- All trigonometric functions are always positive in the first quadrant.

- sine and cosine functions are always in the second quadrant.

- tan and cot functions are always in the third quadrant.

- sec and cosec functions are always in the fourth quadrant.

Therefore, csc(x) is positive in quadrants I and II.

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Answer: 72.97 Minutes

Step-by-step explanation: We have two cars, A and B, traveling along a straight road. Car A is moving at a constant speed of 77.0 km/h, while car B is moving at a constant speed of 114 km/h. At the starting point (t=0), car B is 45.0 km behind car A.

To figure out how long it takes for car B to catch up and overtake car A, we need to consider their relative speeds. The relative speed is the difference between the speed of car B and the speed of car A.

Relative speed = Speed of car B - Speed of car A

Relative speed = 114 km/h - 77.0 km/h

Relative speed = 37.0 km/h

So, car B is moving 37.0 km/h faster than car A. Now, we need to determine the time it takes for car B to cover the initial distance between them, which is 45.0 km.

To calculate time, we use the formula: Time = Distance / Speed. In this case, the distance is 45.0 km, and the speed is the relative speed of 37.0 km/h.

Time = 45.0 km / 37.0 km/h ≈ 1.2162 hours

Now, let's convert the time to minutes by multiplying it by 60 (since there are 60 minutes in an hour).

Time = 1.2162 hours * 60 minutes/hour ≈ 72.97 minutes

Therefore, it takes approximately 1.2162 hours or 72.97 minutes for car B to catch up and overtake car A.

Hope this helps!

1) Given that an oatmeal cookie has these proportions, let's set a pair of ratios to get that:

Answer: The answer is 65.5%

Step-by-step explanation: I hope it helps you!

Answer:

04c+06d=$8.50

Step-by-step explanation:

Answer:

y = -5/3x + 4

Step-by-step explanation:

slope = -5/3

-1 = -5/3(3) + b

-1 = -5 + b

4 = b

y = -5/3x + 4

Answer:

\(y=-\frac{5}{3}x+4\)

Step-by-step explanation:

To write down a line that is perpendicular to one line, make sure that their slopes give a product of -1:

\(\frac{3}{5}*m_2 =-1\\m_2=-\frac{5}{3}\)

Write down an equation in the point-slope form and replace everything in and simplify:

\(y_2-y_1=m(x_2-x_1)\\y-(-1)=-\frac{5}{3} (x-3)\\y+1=-\frac{5}{3}x+5\\y=-\frac{5}{3}x+4\\\)

95% of the bottles of this pain reliever can be expected to have between approximately 92 and 108 tablets.

To determine the lower and upper bounds of the number of tablets in the bottle, we need to calculate the values using the given information.

Since the mean number of tablets in a bottle is 100 and the standard deviation is 4, we can use the properties of the normal distribution to calculate the lower and upper bounds.

The lower bound can be calculated using the formula:

Lower bound = Mean - (Z * Standard Deviation)

The upper bound can be calculated using the formula:

Upper bound = Mean + (Z * Standard Deviation)

To find the appropriate value of Z for a 95% confidence interval, we need to refer to the standard normal distribution table or use a calculator.

For a 95% confidence interval, the Z-value is approximately 1.96.

Plugging in the values:

Lower bound = 100 - (1.96 * 4)

Upper bound = 100 + (1.96 * 4)

Lower bound = 100 - 7.84

Upper bound = 100 + 7.84

Lower bound ≈ 92.16

Upper bound ≈ 107.84

Therefore, 95% of the bottles of this pain reliever can be expected to have between approximately 92 and 108 tablets.

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No, the statement "In spherical geometry, the sum of the angles in a triangle equals 180 degrees." is not true.

The term triangle in geometry refers the polygon with three vertices, sides and angle.

Here we have given the statement "in Euclidean geometry the sum of the angles in a triangle equals 180 degrees"

And we need to find whether this is this also true in spherical geometry.

Basically, the sum of the angles of a spherical triangle is not equal to 180°. Because, we know that the sphere is a curved surface, where locally the laws of the flat Euclidean geometry are good approximations.

Therefore, here in a small triangle on the face of the earth, then the sum of the angles is only slightly more than 180 degrees.

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Answer:

x=25/64

Step-by-step explanation:

by simple substitution

So there are 6,840 possibilities to choose a committee of three students, one as president, one as vice president, and one as secretary.

As per the question given,  

We need to select 3 students from a class of 20, where order matters.

The number of ways to select the first student for the committee is 20, since we can choose any of the 20 students.

After selecting the first student, there are 19 students remaining to choose from for the second position (the vice-president). Once the vice-president is selected, there are 18 students remaining to choose from for the third position (the secretary).

Therefore, the total number of ways to select the committee is:

20 * 19 * 18 = 6,840

So there are 6,840 ways to select a committee of 3 students, where one student is the president, one is the vice-president, and one is the secretary.

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The correct answer is k+3 ke-2.

To determine which formula is not equivalent to the other two, we can compare each formula step-by-step. Let's analyze each formula:

1. (-1k-3 k +3 k+ 4 ks4
2. k+3 ke-2
3. k-3 ks4

Starting with formula 1, we can see that it consists of three terms: -1k-3, k+3, and k+4ks4. Each term is separated by a space.

Moving on to formula 2, we have k+3ke-2. This formula also consists of three terms: k+3, k, and e-2. In this case, we have a variable (k) combined with two different exponents (3 and -2).

Finally, formula 3 is k-3ks4. It consists of two terms: k-3 and ks4. Again, each term is separated by a space.

Comparing the three formulas, we can see that formula 1 has three terms, while formulas 2 and 3 have two terms each. Additionally, formula 1 includes the term k+4ks4, which is not present in formulas 2 and 3.

Therefore, the formula that is not equivalent to the other two is k+3 ke-2.

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0>1,If a function f is constructed recursively, at least one of its values, f(x), must be defined in terms of f(y), where x>y.

Explanation:

0>1.

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Step-by-step explanation:

here's the answer to your question

Answer:

Hemisphere Circumference: 31.95

The volume of a hemisphere is \frac{\pi }{324}

cubic mile. Find the circumference of the base of the hemisphere.

The volume of a hemisphere is given by the formula:

V = (2/3)πr³

where r is the radius of the hemisphere.

Since we are given the volume of the hemisphere as π/324 cubic miles, we can solve for the radius:

π/324 = (2/3)πr³

r³ = (1/2)(324/π)

r³ = 162/π

r = (162/π)^(1/3)

Now, the circumference of the base of the hemisphere is given by:

C = 2πr

Substituting the value of r, we get:

C = 2π(162/π)^(1/3)

C ≈ 31.95 miles (rounded to two decimal places)

Therefore, the circumference of the base of the hemisphere is approximately 31.95 miles

Answer:

  c = 2√3 ≈ 3.464

Step-by-step explanation:

A 30°-60°-90° triangle is a "special" triangle that has sides in the ratios ...

  1 : √3 : 2 . . . . . shortest to longest.

Comparing those to the side measures you have, we see ...

  1 : √3 : 2 = b : 3 : c

Multiplying the basic ratios by √3 gives a value that matches the long side:

  √3 : 3 : 2√3 = b : 3 : c

Then the value of c is 2√3 ≈ 3.464.

_____

Additional comment

Side length b is √3 ≈ 1.732.

To determine if a function has a vertical asymptote, you need to consider its behavior as the input approaches certain values.

A vertical asymptote occurs when the function approaches positive or negative infinity as the input approaches a specific value. Here's how you can determine if a function has a vertical asymptote:

Check for restrictions in the domain: Look for values of the input variable where the function is undefined or has a division by zero. These can indicate potential vertical asymptotes.

Evaluate the limit as the input approaches the suspected values: Calculate the limit of the function as the input approaches the suspected values from both sides (approaching from the left and right). If the limit approaches positive or negative infinity, a vertical asymptote exists at that value.

For example, if a rational function has a denominator that becomes zero at a certain value, such as x = 2, evaluate the limits of the function as x approaches 2 from the left and right. If the limits are positive or negative infinity, then there is a vertical asymptote at x = 2.

In summary, to determine if a function has a vertical asymptote, check for restrictions in the domain and evaluate the limits as the input approaches suspected values. If the limits approach positive or negative infinity, there is a vertical asymptote at that value.

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The linear equation doesn't have a solution.

The linear equation given is illustrated as: 4x-(2x-1) = x+5+x-6

This will be solved thus:

4x - 2x + 1 = x+5+x-6

4x - 2x + 1 = 2x - 1.

2x + 1 = 2x - 1

Collect like terms

2x - 2x = -1 - 1

0 = -2

This illustrates that the equation doesn't have a solution.

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Answer:

1 and 5

Step-by-step explanation:

1. 6x + 1 = 3(2x - 4)

6x + 1 = 6x - 12

6x + 13 = 6x

-6x         -6x

    13 = 0x

no solution

2. 2-5x = 7x - 12

    2 = 12x - 12

    14 = 12x

    1 1/6 = x

3. 4(3 - x) = 2(6 - 2x)

  12 - 4x = 12 -4x

    -4x = -4x

   x = ∞

4. 5(x + 2) = 2(x - 4)

   5x + 10 = 2x - 8

   3x + 10 = -8

   3x= -18

   x = -6

5. -4(x + 3) = 4( -x - 1)

   -4x -12 = -4x -4

    -4x - 8 = -4x

     -8 = 0x

  no solution

Answer:

–4(x + 3) = 4(–x – 1) and 6x + 1 = 3(2x – 4)

Step-by-step explanation:

I copied the other dude

Answer:

I believes it’s all of them due to it being a circle making any degree of rotation the same

Step-by-step explanation:

45

360/8=45

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