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r-ruslan [8.4K]
3 years ago
8

The product of two numbers is a ______ of both numbers

Mathematics
1 answer:
qwelly [4]3 years ago
5 0
<h2>The product of two numbers is <em>a,</em>  \sqrt{a} of both numbers.</h2>

Step-by-step explanation:

Given,

The product of two numbers = a

To find, the both numbers = ?

Let the two numbers = x

∴ x × x = a

⇒ x^{2} =  a

⇒ x^{2} =\sqrt{a}^2

Comparing the powers, we get

⇒ x = \sqrt{a}

∴ First number = \sqrt{a} and Second number = \sqrt{a}

Thus, the product of two numbers is <em>a,</em>  \sqrt{a} of both numbers.

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HELP format is y=mx+b!!!!
Gekata [30.6K]

Answer:

y = - 3x - 3

Step-by-step explanation:

the equation of a linear function in slope- intercept form is

y = mx + b ( m is the slope and b the y- intercept )

To calculate m use the slope formula

m = (y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (- 2, 3) and (x₂, y₂ ) = (6, -21) ← 2 points from the table

m = \frac{-21-3}{6+2} = \frac{-24}{8} = - 3

y = - 3x + b ← is the partial equation

To find b substitute any other point from the table into the partial equation

using (2, - 9), then

- 9 = - 6 + b ⇒ b = - 9 + 6 = - 3

y = - 3x - 3 ← linear relationship


6 0
3 years ago
Read 2 more answers
A pyramid is placed inside a prism as shown. The pyramid has the same base area, B, as the prism but half the height, h, of the
klemol [59]
The general formula of a pyramid with any base is 1/3 bh where b is the area of the base and h is the height. In this case, the height of the pyramid is said to be twice the height of the prism, h. Hence the area becomes 1/3 b*2h or equal to option A. 2/3 
4 0
3 years ago
Solve for n in the proportion 7/3 = n/21.
erastova [34]
Given ,

7/3 = n/21

We need to find the value of n,

Cross multiplying,we get

3n = 21 x 7

=> 3n = 147

=> n = 147/3

=> n = 49 is the required answer
7 0
11 months ago
Which of the following shows the true solution to the logarithmic equation 3 log Subscript 2 Baseline (2 x) = 3 x = negative 1 x
sineoko [7]

The equation which shows the true solution to the given logarithmic equation is,

x=1

<h3>What is power rule of logarithmic function?</h3>

The power of the log rule says that the number written in the front of the logarithmic function can be raised to the power of the logarithmic function.

For example,

n\log_b(M)=\log_b(M)^n

Given information-

The logarithmic equation given in the problem is,

3\log_2(2x)=3

Using the power rule of the logarithmic function,

\log_2(2x)^3=3

Using the exponent rule of the logarithmic function the above equation can be written as,

(2x)^3=3

Solve it further,

8x^3=3\\x^3=1\\x=1

Hence, the equation which shows the true solution to the given logarithmic equation is,

x=1

Learn more about the rules of logarithmic function here;

brainly.com/question/13473114

4 0
2 years ago
A journal article reports that a sample of size 5 was used as a basis for calculating a 95% CI for the true average natural freq
oksano4ka [1.4K]

Answer:

Lower = 231.134- 3.098=228.036

Upper = 231.134+ 3.098=234.232

Step-by-step explanation:

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 represent the sample mean for the sample  

\mu population mean (variable of interest)

s represent the sample standard deviation

n=5 represent the sample size  

Solution to the problem

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

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

And for this case we know that the 95% confidence interval is given by:

\bar X=\frac{233.002 +229.266}{2}= 231.134

And the margin of error is given by:

ME = \frac{233.002 -229.266}{2}= 1.868

And the margin of error is given by:

ME= t_{\alpha/2} \frac{s}{\sqrt{n}}

The degrees of freedom are given by:

df = n-1 = 5-1=4

And the critical value for 95% of confidence is t_{\alpha/2}= 2.776

So then we can find the deviation like this:

s = \frac{ME \sqrt{n}}{t_{\alpha/2}}

s = \frac{1.868* \sqrt{5}}{2.776}= 1.506

And for the 99% confidence the critical value is: t_{\alpha/2}= 4.604

And the margin of error would be:

ME = 4.604 *\frac{1.506}{\sqrt{5}}= 3.098

And the interval is given by:

Lower = 231.134- 3.098=228.036

Upper = 231.134+ 3.098=234.232

6 0
3 years ago
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