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sp2606
2 months ago
7

Which graph shows the equation V = 4 + 2t, where V is the total volume of water in a bucket and t is the elapsed time in minutes

? Mark this and return

Mathematics
2 answers:
zzz [12.3K]2 months ago
6 0

Answer: Please refer to the graph provided.


Explanation:


The equation V = 4 + 2t describes a linear function, meaning its graph is a straight line.


The slope remains uniform throughout; it is represented by the coefficient of the independent variable, which is t here. The constant term (4) indicates the function’s initial value when t equals zero.


To illustrate the graph, follow these steps:


  1. Draw two perpendicular lines representing the x-axis (horizontal) and y-axis (vertical).
  2. Label the horizontal axis with the name and units of the independent variable, which is the time measured in minutes.
  3. Label the vertical axis with the name of the dependent variable, the volume of water. Since units aren’t specified, you cannot add units to your graph.
  4. Choose an appropriate scale, marking intervals (here, mark each unit as 1).
  5. Plot the initial value by calculating the volume at t = 0: V = 4 + 2(0) = 4.
  6. Select another point for reference, for example at t = 4: V = 4 + 2(4) = 12.
  7. Verify that the slope equals rise over run = 2, and that the y-intercept is at V = 4.
  8. Lastly, don't forget to title the graph: volume of water in a bucket.

This information will allow you to understand the attached graph, which sketches these features.

   

Leona [12.6K]2 months ago
3 0
This is the correct graph! I'm not sure if you had options to pick from, but this image demonstrates what the graph looks like.

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Scores on an exam follow an approximately normal distribution with a mean of 76.4 and a standard deviation of 6.1 points. what i
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The highest 5% of scores corresponds to the 95th percentile, meaning the cutoff score k is defined as

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2 months ago
Which is an x-intercept of the continuous function in the table?
tester [12383]

Answer:

B. (3, 0)

Step-by-step explanation:

The x-intercept signifies the location on the graph where it intersects the x-axis.

At the x-intercept, y=0 or f(x)=0.

Therefore, you need to examine the table for the instance where f(x)=0.

The value f(x)=0 is found at x=3 in the table.

We express this as an ordered pair.

Hence, the x-intercept is (3,0).

The right option is B.

7 0
2 months ago
Read 2 more answers
Uma empresa transporta armários para escritórios para uma localidade distante 425km. Seu custo é de R$2,10 por km rodado. Quando
tester [12383]

Answer:

1.  $14.88

2.  $12.40

Step-by-step explanation:

Translated into English:

A company is responsible for transporting office cabinets over a distance of 425km. The charge is R $ 2.10 for each kilometer journeyed. If the cabinets are assembled, the vehicle can carry 60 units. When taken apart, the capacity expands by 6 times. We need to determine: 1- The cost for each assembled cabinet? 2- The savings achieved per cabinet when they are disassembled.

Solution:

For 425 km at R $2.10 per km:

425 * 2.10 = $892.50 total expenditure

For the 60 assembled cabinets, the cost for each is calculated as:

Cost per assembled cabinet = 892.5/60 = $14.875, rounding to $14.88

When disassembled, the capacity becomes:

60 * 6 = 360

The cost per cabinet is then:

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The savings indicate how much is saved compared to assembled cabinets:

14.88 - 2.48 = $12.40

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2 months ago
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  • Distribute d within the parentheses:

-3d + dx = kx + 9

  • Subtract kx from both sides:

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  • Add 3d to both sides:

dx - kx = 9 + 3d

  • Factor x from dx - kx:

x(d - k) = 9 + 3d

  • Divide both sides by (d - k):

x = \frac{9+3d}{d-k}

  • To further simplify, factor 3 out of the numerator.

x = \frac{3(d + 3)}{d-k}

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Explain how knowing 1 + 7 helps you find the sum of 7 + 1
Leona [12618]
You can utilize them in reverse order, but this method doesn't apply for subtraction.

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