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SOVA2 [1]
3 years ago
7

HELP PLEASE Two expressions that are equivalent to 4(6j+9+2j)

Mathematics
2 answers:
mr Goodwill [35]3 years ago
6 0
1)  4(8j + 9)

2) 24j + 36 + 8j

Is this what you are looking for????
Elza [17]3 years ago
4 0
You can get two equivalent expression while simplifying the original.

<span>4(6j+9+2j)  combine like terms inside the parentheses
</span>
4(8j+9)  there's one :), now expand by performing indicated multiplications

32j+36  there's another one :)

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<img src="https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7Ba%2Bb%7D%20%7D%7B%5Csqrt%7Ba-b%7D%20%7D%20%2B%5Cfrac%7B%5Csqrt%7Ba-b%7D%20
andrezito [222]

Answer:

\frac{(a+b)}{a^{2} -b^{2}  } + \frac{(a-b)}{a^{2} -b^{2}  } = \frac{2a}{a^{2} -b^{2}  }

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
One person wants to get a 95% z-confidence interval with a margin of error of at most 15 based on a population standard deviatio
Bess [88]

Answer:

n=(\frac{1.96(60)}{15})^2 =61.46 \approx 62  

So the answer for this case would be n=62 rounded up to the nearest integer  

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

\sigma=60 represent the population standard deviation  

n represent the sample size (variable of interest)  

Confidence =95% or 0.95

The margin of error is given by this formula:  

ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}} (1)  

And on this case we have that ME =15, and we are interested in order to find the value of n, if we solve n from equation (1) we got:  

n=(\frac{z_{\alpha/2} \sigma}{ME})^2 (2)  

The critical value for 95% of confidence interval is provided, z_{\alpha/2}=1.96, replacing into formula (2) we got:  

n=(\frac{1.96(60)}{15})^2 =61.46 \approx 62  

So the answer for this case would be n=62 rounded up to the nearest integer  

6 0
3 years ago
A monarchy has one leader how many terms do you think a monomial has
Sholpan [36]
I would think i has one term because the prefix "mono" means one
3 0
3 years ago
Read 2 more answers
An overhead projector enlarges the image on its glass by a scale factor of 4. A rectangle that is 3 inches wide and 7 inches lon
qwelly [4]
Just multiply the with and the length by four (considering the scale factor is 4)
3x4=12 and 7x4=28
6 0
3 years ago
Can someone please help me with this problem!
Anna71 [15]

Answer:

11 yards

Step-by-step explanation:

The volume of a cone formula is:

V=\frac{1}{3}\pi r^2 h

Where V is the volume,

r is the radius (half of diameter)

h is the height

Given,

h = 15

V = 475.17

We find the radius (r) first by substituting given values:

V=\frac{1}{3}\pi r^2 h\\475.17=\frac{1}{3}\pi r^2 (15)\\475.17=5\pi r^2\\r^2=30.25\\r=5.5

The radius (r) is 5.5 yards

We need the diameter, which is DOUBLE THE RADIUS, so diameter would be:

Diameter = 5.5 * 2 = 11 yards

8 0
3 years ago
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