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Brut [27]
3 years ago
10

How do you solve this problem in the photo?

Mathematics
2 answers:
Klio2033 [76]3 years ago
6 0

Answer: 5^2

Step-by-step explanation:

Since the base are all the same, you will add the exponents and let the exponents stay the same.

5^3  * 5^4= 5^7 * 5^-5= 5^2

Mashcka [7]3 years ago
6 0

Answer:

25

Step-by-step explanation:

Using the rule of exponents

a^{m} × a^{n} ⇔ a^{(m+n)}

The rule can be extended to include more than 3 terms.

Given

5³ × 5^{4} × 5^{-5}

= 5^{(3+4-5)}

= 5²

= 25

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Find the dicontinuities of the function.
elena-s [515]

Answer:

Step-by-step explanation:

I'm assuming you meant to type in

f(x)=\frac{x^2+12x+27}{x^2+4x+3} because you can only have removable discontinuities where there is a rational (fraction) function. Begin by factoring both the numerator and denominator to

f(x)=\frac{(x+3)(x+9)}{(x+1)(x+3)} and cancelling out like terms would have us eliminating the (x + 3). That is where there is a removable discontinuity. It leaves a hole. The other discontinuity, (x + 1) doesn't cancel out so it is a non-removable discontuinity, which is a vertical asymptote.

The removable discontinuity is at -3. There is no y value at x = -3 (remember there's only a hole here), because -3 causes the denominator to go to 0 and we all know that having a 0 in the denominator of a fraction is a big no-no!!!

5 0
3 years ago
Question 1(Multiple Choice Worth 1 points)
Romashka [77]

Answer:

5%

Step-by-step explanation:

Lets say 10 add a 0 = 100 9.5 add a 0 = 95.0 (move ok decimal place) so there is a 5% error.

7 0
2 years ago
Read 2 more answers
To transmit information on the internet, large files are broken into packets of smaller sizes. Each packet has 1,500 bytes of in
erastova [34]

Answer: x= 187.5p

Step-by-step explanation:

Given : An equation relating packets to bytes of information : b = 1,500p where<em> p</em> represents the number of packets and <em>b</em> represents the number of bytes of information.

1 byte = 8 bits

Let x= Number of bits such that 1 b = 8x

Put b = 8x in given equation , we get

8x=1500p

Divide both sides by 8 , we get

x= 187.5p

Hence, the equation represent the relationship between the number of packets and the number of bits : x= 187.5p

3 0
3 years ago
Read 2 more answers
Express the given linear equation in slope intercept form and identify the slope and y- intercept of -2x+7y=28
AlekseyPX
Slope-intercpet is y=mx+b where m=slope
b=y intercept
convert
-2x+7y=28
add 2x to both sides
7y=2x+28
divide both sides by 7
y=2/7x+4
slope=2/7
y-intercept=4 or the point (0,4)
4 0
3 years ago
Algebra 2 Standard Deviation
Illusion [34]

Answer:

don't have answer but have how to do them

Step-by-step explanation:

What are z-scores?

A z-score measures exactly how many standard deviations above or below the mean a data point is.

Here's the formula for calculating a z-score:

z=\dfrac{\text{data point}-\text{mean}}{\text{standard deviation}}z=  

standard deviation

data point−mean

​  

z, equals, start fraction, start text, d, a, t, a, space, p, o, i, n, t, end text, minus, start text, m, e, a, n, end text, divided by, start text, s, t, a, n, d, a, r, d, space, d, e, v, i, a, t, i, o, n, end text, end fraction

Here's the same formula written with symbols:

z=\dfrac{x-\mu}{\sigma}z=  

σ

x−μ

​  

z, equals, start fraction, x, minus, mu, divided by, sigma, end fraction

Here are some important facts about z-scores:

A positive z-score says the data point is above average.

A negative z-score says the data point is below average.

A z-score close to 000 says the data point is close to average.

A data point can be considered unusual if its z-score is above 333 or below -3−3minus, 3. [Really?]

Want to learn more about z-scores? Check out this video.

Example 1

The grades on a history midterm at Almond have a mean of \mu = 85μ=85mu, equals, 85 and a standard deviation of \sigma = 2σ=2sigma, equals, 2.

Michael scored 868686 on the exam.

Find the z-score for Michael's exam grade.

\begin{aligned}z&=\dfrac{\text{his grade}-\text{mean grade}}{\text{standard deviation}}\\ \\ z&=\dfrac{86-85}{2}\\ \\ z&=\dfrac{1}{2}=0.5\end{aligned}  

z

z

z

​  

 

=  

standard deviation

his grade−mean grade

​  

 

=  

2

86−85

​  

 

=  

2

1

​  

=0.5

​  

 

Michael's z-score is 0.50.50, point, 5. His grade was half of a standard deviation above the mean.

Example 2

The grades on a geometry midterm at Almond have a mean of \mu = 82μ=82mu, equals, 82 and a standard deviation of \sigma = 4σ=4sigma, equals, 4.

Michael scored 747474 on the exam.

Find the z-score for Michael's exam grade.

\begin{aligned}z&=\dfrac{\text{his grade}-\text{mean grade}}{\text{standard deviation}}\\ \\ z&=\dfrac{74-82}{4}\\ \\ z&=\dfrac{-8}{4}=-2\end{aligned}  

z

z

z

​  

 

=  

standard deviation

his grade−mean grade

​  

 

=  

4

74−82

​  

 

=  

4

−8

​  

=−2

​  

 

Michael's z-score is -2−2minus, 2. His grade was two standard deviations below the mean.

https://www.khanacademy.org/math/statistics-probability/modeling-distributions-of-data/z-scores/a/z-scores-review

this should help

6 0
3 years ago
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