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3 years ago

Different ways to count from 580 -994

2 answers:

8 0

You can use subtraction to figure out how many numbers there are from one endpoint to another. For example, in the set {1,2,3,4,5} we see 5 values. Subtract the large endpoint from the smaller and we get 5-1 = 4, then add 1 back on to get 4+1 = 5. The formula is a-b+1 where a > b.

Here's another example: {8,9,10}. Clearly we see 3 values. Using the subtraction rule mentioned above, we get a-b+1 = 10-8+1 = 2+1 = 3. This method is preferred if you have a tons of values you don't want to count out one at a time.

Such as this example {580, 581, ...., 993, 994}. We have a-b+1 = 994-580+1 = 415 meaning there are 415 items in the set {580, 581, ..., 993, 994}

andrew11 [14]3 years ago

3 0

By 10s, 100s, 5s, 15s, 20s, 30s,

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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.

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3 years ago

Which of the following is a correct name for a side of the given angle?

Zigmanuir [339]

Answer:

C. ED

Step-by-step explanation:

The center of the angle is the point E, so it would be written first.

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2 years ago

A technology manufacturer is a supplier of fiber optic cables. They are interested in expanding their business and offering fibe

ExtremeBDS [4]

Answer:

B.alternative hypothesis

Step-by-step explanation:

In this case, the null hypothesis is that 45% of internet providers currently offer fiber optic internet in the United States.

The claim that the proportion of fiber optic internet providers is different from 45% is an alternative hypothesis since it directly contradicts the null hypothesis presented.

The answer is B. alternative hypothesis

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3 years ago

Evaluate x/y for x equals 3/10 and y equals 4/5

Over [174]

Answer:

x/y = 3/8

Step-by-step explanation:

y = 4/5 = 8/10, so ...

x/y = (3/10)/(8/10) = 3/8

_____

One way to divide fractions is to make them have the same denominator. Then their ratio is the ratio of their numerators.

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3 years ago

What is area of ths shape

dimaraw [331]

The area is 114 yards

Step-by-step explanation:

(10x9) + (4x6)

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2 years ago

Read 2 more answers