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Anna71 [15]
3 years ago
13

Given a set of data, what steps would you take to identify whether the data showed linear or exponential growth?

Mathematics
2 answers:
emmasim [6.3K]3 years ago
5 0
The very first thing to do to identify whether the data showed linear or exponential growth is to plot the data. By plotting the data, you are able to visualize the form or trend of your data. You can also see if your data trend forms a line. If it forms a line, it is linear. If your data shows somehow a rapid increasing magnitude of slope then, it is exponential.
vovangra [49]3 years ago
3 0

Answer:

  • Make sure that the x-values are spaced apart in equal intervals.
  • Determine whether the y-values increase by the same amount or by the same ratio.
  • Decide that the data is linear because the y-values increase by a common difference.
  • Decide that the data is exponential because the y-values increase by a ratio or factor.

Step-by-step explanation:

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Evaluate when y=4 and 1 = 2 xy + 2x2
Zielflug [23.3K]

Answer:

log  ( 100 )    √ 16     √ 75

Step-by-step explanation:

6 0
3 years ago
Dustin only has 11 Poké balls. To collect more, he went to a few Poké stops and now has 33 Poké balls.
Rainbow [258]

Answer:

he gained 22 poke balls

Step-by-step explanation:

hope this help you

4 0
3 years ago
Read 2 more answers
A researcher determines that students are active about 60 + 12 (M + SD) minutes per day. Assuming these data are normally distri
rjkz [21]

Answer:

The correct option is (b).

Step-by-step explanation:

If X \sim N (µ, σ²), then Z=\frac{X-\mu}{\sigma}, is a standard normal variate with mean, E (Z) = 0 and Var (Z) = 1. That is, Z \sim N (0, 1).

The distribution of these z-variate is known as the standard normal distribution.

The mean and standard deviation of the active minutes of students is:

<em>μ</em> = 60 minutes

<em>σ </em> = 12 minutes

Compute the <em>z</em>-score for the student being active 48 minutes as follows:

Z=\frac{X-\mu}{\sigma}=\frac{48-60}{12}=\frac{-12}{12}=-1.0

Thus, the <em>z</em>-score for the student being active 48 minutes is -1.0.

The correct option is (b).

4 0
3 years ago
If cos(x)=1/4 what is sin(x) and tan(x)
anygoal [31]
You can use the identity
  cos(x)² +sin(x)² = 1
to find sin(x) from cos(x) or vice versa.

  (1/4)² +sin(x)² = 1
  sin(x)² = 1 - 1/16
  sin(x) = ±(√15)/4


Then the tangent can be computed as the ratio of sine to cosine.
  tan(x) = sin(x)/cos(x) = (±(√15)/4)/(1/4)
  tan(x) = ±√15


There are two possible answers.
In the first quadrant:
  sin(x) = (√15)/4
  tan(x) = √15

In the fourth quadrant:
  sin(x) = -(√15)/4
  tan(x) = -√15
3 0
3 years ago
The radius of a spherical balloon is measured as 20 inches, with a possible error of 0.03 inch. Use differentials to approximate
soldi70 [24.7K]

Answer:

a) V = 33510.322\,in^{3}, b) A_{s} = 5026.548\,in^{2}, c) \% V = 0.450\,\%, \%A_{s} = 0.300\,\%.

Step-by-step explanation:

The volume and the surface area of the sphere are, respectively:

V = \frac{4}{3}\pi \cdot r^{3}

A_{s} = 4\pi \cdot r^{2}

a) The volume of the sphere is:

V = \frac{4}{3}\pi \cdot (20\,in)^{3}

V = 33510.322\,in^{3}

b) The surface area of the sphere is:

A_{s} = 4\pi \cdot (20\,in)^{2}

A_{s} = 5026.548\,in^{2}

c) The total differentials for volume and surface area of the sphere are, respectively:

\Delta V = 4\pi\cdot r^{2}\,\Delta r

\Delta V = 4\pi \cdot (20\,in)^{2}\cdot (0.03\,in)

\Delta V = 150.796\,in^{3}

\Delta A_{s} = 8\pi\cdot r \,\Delta r

\Delta A_{s} = 8\pi \cdot (20\,in)\cdot (0.03\,in)

\Delta A_{s} = 15.080\,in^{2}

Relative errors are presented hereafter:

\%V = \frac{\Delta V}{V}\times 100\%

\%V = \frac{150.796 \,in^{3}}{33510.322\,in^{3}}\times 100\,\%

\% V = 0.450\,\%

\% A_{s} = \frac{\Delta A_{s}}{A_{s}}\times 100\,\%

\% A_{s} = \frac{15.080\,in^{2}}{5026.548\,in^{2}}\times 100\,\%

\%A_{s} = 0.300\,\%

4 0
3 years ago
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