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Doss [256]
3 years ago
10

There are 26 third graders and 32 fourth graders going on a field trip. Each van can carry 10 people

Mathematics
1 answer:
nataly862011 [7]3 years ago
4 0

Answer:

Approximately 6 buses

Step-by-step explanation:

If you are wanting know how many vans they are going to need:

26 + 32                    -This helps you know how many total kids there are

= 58

58 / 10                      -This solves how many buses you'll need

= 5.8                   - Round up, and say you need 6 buses.


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 the answer to the question is F= -5.37

4 0
3 years ago
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Base: z(x)=cosx Period:180 Maximum:5 Minimum: -4 What are the transformation? Domain and Range? Graph?
garik1379 [7]

Answer:

The transformations needed to obtain the new function are horizontal scaling, vertical scaling and vertical translation. The resultant function is z'(x) = \frac{1}{2}  + \frac{9}{2} \cdot \cos \left(\frac{\pi\cdot x}{90^{\circ}} \right).

The domain of the function is all real numbers and its range is between -4 and 5.

The graph is enclosed below as attachment.

Step-by-step explanation:

Let be z (x) = \cos x the base formula, where x is measured in sexagesimal degrees. This expression must be transformed by using the following data:

T = 180^{\circ} (Period)

z_{min} = -4 (Minimum)

z_{max} = 5 (Maximum)

The cosine function is a periodic bounded function that lies between -1 and 1, that is, twice the unit amplitude, and periodicity of 2\pi radians. In addition, the following considerations must be taken into account for transformations:

1) x must be replaced by \frac{2\pi\cdot x}{180^{\circ}}. (Horizontal scaling)

2) The cosine function must be multiplied by a new amplitude (Vertical scaling), which is:

\Delta z = \frac{z_{max}-z_{min}}{2}

\Delta z = \frac{5+4}{2}

\Delta z = \frac{9}{2}

3) Midpoint value must be changed from zero to the midpoint between new minimum and maximum. (Vertical translation)

z_{m} = \frac{z_{min}+z_{max}}{2}

z_{m} = \frac{1}{2}

The new function is:

z'(x) = z_{m} + \Delta z\cdot \cos \left(\frac{2\pi\cdot x}{T} \right)

Given that z_{m} = \frac{1}{2}, \Delta z = \frac{9}{2} and T = 180^{\circ}, the outcome is:

z'(x) = \frac{1}{2}  + \frac{9}{2} \cdot \cos \left(\frac{\pi\cdot x}{90^{\circ}} \right)

The domain of the function is all real numbers and its range is between -4 and 5. The graph is enclosed below as attachment.

8 0
3 years ago
The image point of A after a translation left 3 units and down 1 unit is the point
trasher [3.6K]

Answer:

(-3, 4)

Step-by-step explanation:

First, add 3 to point B's x coordinate:

-6 + 3 = -3

Then, add 1 to the y coordinate:

3 + 1

= 4

So, the coordinates of pre image point A are (-3, 4)

8 0
2 years ago
(05.05)
Natalka [10]
Y greater than or equal to -7
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3 years ago
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In details<br> Don't spam
Scrat [10]

Answer:

a = -4.

Step-by-step explanation:

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25*5^a/2 * 5^3/2 = 5*5^1/2

25*5^a/2  = 5*5^1/2 / 5^3/2

25*5^a/2  = 5^1 *5^1/2 / 5^3/2

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5^a/2 =  1/25 = 5^-2

The bases are equal, so

a/2 = -2

a = -4.

7 0
3 years ago
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