Y=40+90x what is the meaning

Answers

Answer 1
Answer: y = total cost
40 = The one time fee
90 = the service charge per month
x = number of months

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1/1There is a proportional relationship between the volume of a sample of helium in liters and the mass of that sample in grams. If the mass of a sample is 5 grams, its volume is 28 liters. (5, 28) is shown on the graph below What is the constant of proportionality in this relationship? In this situation, what is the meaning of the number you found in question 1?(explain in the short answer) Add at least three more points to the graph above, and label with their coordinates.(Show your work) Write an equation that shows the relationship between the mass of a sample of helium and its volume. Use m for mass and v for volume.(Please answer in v = form)

Find the 10th term of the sequence 1, 5, 9, 13, 17, . . . 33 37 41

Answers

the sequence is 4x-3
the 10th term would be
4×10-3
40-3
37

Scientists use a form of shorthand call ____ to express very large or very small numbers?

Answers

Scientific notation. For example: 276 is the standard form of a number while 2.76 * 10^2 would be the same number in scientific notation.

You focus your camera on a circular fountain. Your camera is at the vertex of the angel formed by tangents to the fountain. You estimate that the angle is 44°. What is the measure of the arc of the circular basin of the fountain that will be in the photograph?

Answers

The measure of the arc of the circular basin of the fountain that will be in the photograph is; 136°

To answer this question, we need to understand the angle of intersecting secant theorem which state that;

If two lines intersect outside a circle, then the measure of the angle formed by the two lines is half of the positive difference of the measures of the intercepted arcs.

Thus;

θ = ½(x2 - x1)

Where:

  • x2 is large angle
  • x1 is small angle
  • θ is measure of the Angle formed by the two lines

Now, we are given θ = 44°

Now the measure of the arc of the circular basin will be the smaller angle x1.

  • However, the sum of the large and small angle is 360° and so large angle is 360 - x1.

Thus;

44 = ½(360 - x - x)

2 × 44 = 360 - 2x

88 = 360 - 2x

360 - 88 = 2x

2x = 272

x = 272/2

x = 136°

Read more about angle of intersecting secanttheorem at; brainly.com/question/1626547

Answer:

The measure of the arc of the circular basin = 136°

Step-by-step explanation:

The measure of an angle formed when two line intercepts outside a circle is half the difference of the measure of the intercepted arcs.

Mathematically, the is represented as:

Measure of an angle = 1/2(big angle - Small angle)

This values are given in the question

Measure of an angle = Measure of angle formed by tangents to the fountain = 44°

big angle is represented by = 360°-x

small angle is represented by = x

Therefore, we have

44° = 1/2( 360° - x -x)

44° = 1/2(360° - 2x)

Cross multiply

44° × 2 = 360° - 2x

88° = 360° - 2x

88° - 360° = - 2x

-272° = -2x

x = -272/-2

x = 136°

The measure of the arc of the circular basin = 136°

A bus on a regular schedule takes 3 1/4 hours to reach its destination. The express bus takes 2 1/2 hours to make the same trip. How much travel time can be saved by taking the express? A. 5 3/4 hours
B. 2 hours
C. 3/4 hour
D. 1 1/4 hours

Answers

Time taken by a regular bus to reach its destination = 3 1/4 hours
                                                                                   = 13/4 hours
Time taken by the express bus to make the same trip = 2 1/2 hours
                                                                                       = 5/2 hours
Time that can be saved by taking the express bus = (13/4) - (5/2) hours
                                                                                 = (13 - 10)/4 hours
                                                                                 = 3/4 hours
So 3/4 hours can be saved by taking the express bus rather than the regular bus. The correct option among all the options given in the question is option "C". I hope the procedure is simple enough for you to understand.

Taking the express bus saves 3/4 hour of travel time compared to the regular bus.

To find the travel time saved by taking the express bus, we need to subtract the travel time of the express bus from the travel time of the regular bus.

Regular bus travel time: 3 1/4 hours

Express bus travel time: 2 1/2 hours

To perform the subtraction, we need to convert both times to the same denominator:

3 1/4 = 13/4 hours

2 1/2 = 5/2 hours

Now, subtract the two times:

13/4 - 5/2 = 13/4 - 10/4 = 3/4

Therefore, taking the express bus saves 3/4 hour of travel time.

The answer is C. 3/4 hour.

To know more about travel, refer here:

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if you horizontally shift the square root parent function, F(x) = √(x), left four units, what is the equation of the new function?

Answers

ANSWER

g(x) =  √(x + 4)

EXPLANATION

The parent square root function is

f(x) =  √(x)

The translation

g(x ) =  √(x + k)

Will shift the graph of f(x) k units to left.

The translation

g(x) =  √(x -k)

will shift the graph of f(x) to the right by k units.

Therefore if f(x) is shifted 4 units to the left its new equation is:

g(x) =  √(x + 4)

Final answer:

Shifting a function left involves adding a value to the x-component. Hence, shifting the square root parent function, F(x) = √x, to the left by 4 units results in a new function F(x) = √(x+4).

Explanation:

When a function is shifted horizontally, it impacts the input or the x-values. A shift to the left is represented by the addition of a value to the x-component of the function. Hence, to shift the square root parent function, F(x) = √x, to the left by 4 units, you would add 4 to 'x' in the function, which results in a new function F(x) = √(x+4). "This function represents the original square root parent function shifted 4 units to the left".

Learn more about Horizontal Shift of Function here:

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Type the least common multiple of 4 and 6.

Answers

The least common multiple of 4 and 6 is 12.