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9966 [12]
3 years ago
10

Translate the word phrase into a math expression.

Mathematics
2 answers:
iren [92.7K]3 years ago
8 0

1 less than a number would be the number minus 1

 so the answer would be n-1

Nataly_w [17]3 years ago
3 0
<span>1 less than a number = n - 1

answer
</span><span>n−1</span>
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What is the area of the polygon
Ganezh [65]
1,159cm^2 that is the answer
7 0
3 years ago
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
Plssssss helppppppppp
madam [21]

Answer:

1,385.44 {ft}^{2}

<h3>4th answer is correct</h3>

Step-by-step explanation:

\pi {r}^{2}  \\ \pi \times 21 \times 21 \\  = 1,385.44 {ft}^{2}

7 0
3 years ago
How many grams are there in 2.5 kilograms
Jobisdone [24]

1 Kg = 1000 g

1000 * 2.5 =

2500 g (your answer)


7 0
3 years ago
A store is having a going -out-of buisness sale.a television set that orginally cost 3000 has been marked down by30% what do you
allsm [11]

2,247

Step-by-step explanation:

take 3000 and minus that by 30 percent, then after that, add 7 percent to get your total.

7 0
3 years ago
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