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Marysya12 [62]
4 years ago
14

Graph if f (x) =2x^-10 for find f(5)

Mathematics
1 answer:
nekit [7.7K]4 years ago
3 0

Answer:

f(5)=2.048*10^{-7}

Step-by-step explanation:

We have that f(x)=2x^{-10}, we want to find f(5).

We can rewrite this function with positive index to get:

f(x)=\frac{2}{x^{10}}

We need to substitute x=5 into the given function to get:

f(5)=\frac{2}{5^{10}}

This implies that:

f(5)=\frac{2}{9765625}

In scientific notation:

f(5)=2.048*10^{-7}

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Rachel left home for school at 7:45 one morning. She returned home at 4:05 that afternoon. How many hours and minutes was she go
IceJOKER [234]

Answer:

8 hours 20 minutes

Step-by-step explanation:

Given that :

Time Rachel left for school = 7:45 a.m

Time she returned Home = 4:05 p.m

Time for which Rachael was gone :

4:05 p.m - 7:45 a.m

7:45 a.m to 3:45 p.m= 8 hours

3:45pm to 4:05 pm = 20 minutes

= 8 hours 20 minutes

Rachael was gone for 8 hours 20 minutes

8 0
3 years ago
A motorcycle is 90 inches long. A car is 75% longer than the motorcycle. How long is the car?
Fofino [41]
It’s 22.5 inches longer
6 0
3 years ago
Please help. Thank you
Inessa [10]

Given:

PQRS\sim TUVW

In the given figure, PS=x, RS=35, UV=20, VW=25 and TW=15

To find:

The scale factor from PQRS to TUVW.

Solution:

We have,

PQRS\sim TUVW

We know that the corresponding sides of similar figures are proportional. The scale factor is the ratio of one side of image and corresponding side of preimage.

The scale factor is:

k=\dfrac{VW}{RS}

k=\dfrac{25}{35}

k=\dfrac{5}{7}

Therefore, the scale factor from PQRS to TUVW is k=\dfrac{5}{7}.

6 0
3 years ago
In the following hypothetical scenarios, classify each of the specified numbers as a parameter or a statistic.
soldi70 [24.7K]

Answer:

Explained below.

Step-by-step explanation:

A parameter is a valuable element of statistical analysis. It denotes the characteristics that are used to define a given population. It is used to define a particular attribute of the population. For instance, population mean, population standard deviation, population proportion and so on.

While making a statistical conclusion about the population under study, the parameter value is unknown. This is because it would not be possible to gather data from every single member of the population. So a sample is selected from the population to derive a conclusion about the parameter.

A statistic is the value of the characteristics that are computed using this sample. For instance, sample mean, sample standard deviation, sample proportion and so on.

(a)

There have been 44 Presidents of the United States, and 36% of them were Democrats. The 36% here is a <u>parameter</u>.

(b)

In a 2015 Gallup poll of 1025 adults living in the United States, 53% said they trust the judicial branch of the federal government. The 53% here is a <u>statistic</u>.

(c)

The survey results from 12 local parks show the mean height of 60 ft for mature oak trees. The mean height of 60 ft is a <u>statistic</u>.

(d)

The 72 employees at ABC company have a mean income of $52,317 with a standard deviation of $36,829. The $36,829 is a <u>parameter</u>.

(e)

In a random sample of homeowners in the United States, it is found that 34% of the sampled homeowners renew their home warranty. The 34% here is a <u>statistic</u>.

4 0
3 years ago
Subtract -2k^3 + k^2 - 9 from 5k^3 - 3k + 7.
Lady_Fox [76]
5k^3 - 3k + 7 + <span>2k^3 - k^2 + 9 
= 7k^3 - k^2 -3k + 16</span>
3 0
4 years ago
Read 2 more answers
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