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Dimas [21]
3 years ago
15

I need help with this math problem!

Mathematics
1 answer:
BartSMP [9]3 years ago
7 0
\frac{15t^2}{8x^4}
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Help on 3 algebra questions please !!!***
madam [21]

Answer:

19) The domain is (12 , ∞) ⇒ answer C

17) The radical notation is \sqrt[7]{18y^{2} }

10) The definition of number i is √(-1) ⇒ answer C

Step-by-step explanation:

19)

* Lets explain the meaning of the domain of the function

- The domain of any function is the values of x which makes the

  function defined

- Examples:

# In the fraction the denominator con not be zero, then if the function

  is a rational fraction then the domain is all the values of x except

  the values whose make the denominator = 0

# In the even roots we can not put negative numbers under the radical

  because there is no even roots for the negative number belonges to

  the real numbers, then the domain is all the values of x except the

  values whose make the quantity under the radical negative

* Now lets solve the question

∵ f(x) = 3 √(x - 12)

- To find the domain let (x - 12) greater than zero because there is

 no square root for negative value

∵ x - 12 > 0 ⇒ add 12 to both sides

∴ x ≥ 12

∴ The domain is all values of x greater than 12

* The domain is (12 , ∞)

17)

* Lets talk about the radical notation

- The radical notation for the fraction power is:

  the denominator of the power will be the radical and the numerator

  of the power will be the power of the base

- Ex: x^{\frac{a}{b}}=\sqrt[b]{x^{a}}

* Lets solve the problem

∵ (18 y²)^(1/7)

- The power 1/7 will be the radical over (18 y²)

∴ (18y^{2})^{\frac{1}{7}}=\sqrt[7]{18y^{2}}

* The radical notation is \sqrt[7]{18y^{2} }

10)

* Lets talk about the imaginary number

- Because there is no even root for negative number, the imaginary

 numbers founded to solve this problem

- It is a complex number that can be written as a real number multiplied

  by the imaginary unit i, which is defined by i = √(-1) or i² = -1

- Ex: √(-5) = √[-1 × 5] = i√5

* The definition of number i is √(-1)

3 0
3 years ago
The manager of Petco, a nationwide chain of pet supply stores, wants to study characteristics of the customers, particularly the
shutvik [7]

Answer:

The 95% confidence interval would be given by (19.141;23.538)  

Step-by-step explanation:

1) Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

\bar X=21.34 represent the sample mean for the sample  

\mu population mean (variable of interest)

s=9.22 represent the sample standard deviation

n=70 represent the sample size  

2) Confidence interval

The confidence interval for the mean is given by the following formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

In order to calculate the critical value t_{\alpha/2} we need to find first the degrees of freedom, given by:

df=n-1=70-1=69

Since the Confidence is 0.95 or 95%, the value of \alpha=0.05 and \alpha/2 =0.025, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.025,69)".And we see that t_{\alpha/2}=1.994

Now we have everything in order to replace into formula (1):

21.74-1.994\frac{9.22}{\sqrt{70}}=19.141    

21.74+1.994\frac{9.22}{\sqrt{70}}=23.538

So on this case the 95% confidence interval would be given by (19.141;23.538)    

3 0
3 years ago
Each of 18 horses eat 2/3 of a bales of hay how many bales do 18 horses eat
frutty [35]
Simply put, 18 x 2/3 = 36/3 = 12

The horses eat 12 bales
5 0
3 years ago
Read 2 more answers
What is the constant of proportionality,<br> ?
zalisa [80]
The constant value (often written k) relating amounts that rise or fall uniformly together. It is the ratio of the amounts y and x: k = y/x. Put another way: y = kx. Example: you are paid $20 an hour.
Hope this helps
Mark as brainliest
8 0
3 years ago
Help pls OOOFFIES AND ASAP
Nimfa-mama [501]

Answer:

it is

Step-by-step explanation:

0.75. or that's at least what Google told me

5 0
3 years ago
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