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valentina_108 [34]
2 years ago
11

Carpeting costs $9.99 a yard. If Jan buys 17.4 yards, how much will it cost her? (Round your answer to the nearest hundredth)

Mathematics
1 answer:
slega [8]2 years ago
8 0

Answer:

173.83

Step-by-step explanation:

17.4*9.99= 173.826

173.826 -> 173.83

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Y=−3(2.5)x
Hoochie [10]

Answer:

1. The equation represent an exponential decay

2. The rate of the exponential decay is -3×2.5ˣ·㏑(2.5)

Step-by-step explanation:

When a function a(t) = a₀(1 + r)ˣ has exponential growth, the logarithm of x grows with time such that;

log a(t) = log(a₀) + x·log(1 + r)

Hence in the equation -3 ≡ a₀, (1 + r) ≡ 2.5 and y ≡ a(t). Plugging in the values in the above equation for the condition of an exponential growth, we have;

log y = log(-3) + x·log(2.5)

Therefore, since log(-3) is complex, the equation does not represent an exponential growth hence the equation  represents an exponential decay.

The rate of the exponential decay is given by the following equation;

\frac{dy}{dx} =\frac{d(-3(2.5)^x)}{dx} = -\frac{d(3\cdot e^{x\cdot ln(2.5)})}{dx} = -3 \times 2.5^x\times ln(2.5)

Hence the rate of exponential decay is -3×2.5ˣ × ㏑(2.5)

5 0
3 years ago
The volume of the oblique cylinder is approximately 346.9cm3. If the height is 8.2 cm what is the radius
Andrei [34K]

Answer:

Radius=3.67

Step-by-step explanation:

The screenshot shows the answer of the radius beng 3.67cm.

8 0
2 years ago
Mrs. Gatlin streams a movie on her tablet. The movie is 95 minutes long, and she has streamed 60% of the movie so far. How many
algol [13]
The answer is C. 57 Minutes. I am pretty sure that’s correct.
3 0
3 years ago
All the passages in a cave have the elevation below -8 meters with respect to sea level
horsena [70]

Answer:

Let p be the the elevation of a passage in meters

An inequality that represents elevations below -8 meters is

p less than -8 meters. Mathematically,

\boxed{p <  - 8}

<h3><u>p<-8</u> is the right answer.</h3>

6 0
2 years ago
Read 2 more answers
Find the standard deviation for the given sample data. Round your answer to one more decimal place than the original data.
Aleks [24]

Answer:

D) Standard deviation is 5.41

Step-by-step explanation:

We are given

count N = 9

Sum ∑xi = 113

Mean =  ∑xi /N = 12.55

Standard deviation = \sqrt{  \frac{(summation xi-mean)^2}{N} - (mean)^2    } where i = 1 to 9

 upon substituting the values we get

Standard deviation = \sqrt{29.277} = 5.41

6 0
2 years ago
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