All categories

3 years ago

Simplify the following

Mathematics

1 answer:

Goshia [24]3 years ago

4 0

Answer:

Step-by-step explanation:

Using the rules of logarithms

log $x^{n}$ = nlogx

$log_{b}$ b = 1

Then

$log_{x}$ $x^{9}$

= 9 $log_{x}$ x

= 9

You might be interested in

Distributive property -8(1+5m)

Stolb23 [73]

Answer:

im pretty sure that it is -48 there is a chance im wrong

Step-by-step explanation:

3 0

3 years ago

Beverage A and Beverage B are sold in identical cans. Beverage A is 6% sugar. The portion of Beverage B that is sugar is 0.21. H

muminat

Answer:

3.5 more times sugar in B

Step-by-step explanation:

We need to see that the fact that Beverage B is 0.21 sugar can be translated to percentages, just by multiplying and dividing by 100 to get it easier to see:

0.21 * 100 /100 = 21/100 = 21% percent

This means that for every 100 units, 21 are sugar.

Now we can compare percentages directly, as both have the same volume because are sold in identical cans. We need to get how many times is 21 greater than 6. The only thing we need to do is the ratio between them:

21/6= 3.5

This implies that 21 is 3.5 greater than 6, you can verify it by multiplying 6 by 3.5 and getting 21.

So, B has 3.5 times more sugar than A.

5 0

3 years ago

A sphere with radius r has a volume of 100 square units. What is the volume of a sphere with a radius 3r ?

pshichka [43]

Answer:

300

Step-by-step explanation:

V=4/3 * pi* r^3

If you sub in 100 for V, do some manipulation you get r cubed to equal 23.78.

Now put the value of 23.78 in for r cubed and V comes out to be 300

7 0

3 years ago

Read 2 more answers

Solve the following using PEMDAS<br>4^2 × (8 minus 2)

Kazeer [188]

Answer:

The answer is 96

Step-by-step explanation:

The answer is 96 because 4^2 is 16 and 8 minus 2 is 6 so 16 multiplied by 6 is 96

P.S Can I have brainliest?

7 0

3 years ago

Of great importance to residents of central Florida is the amount of radioactive material present in the soul of reclaimed phosp

alukav5142 [94]

Answer:

See figure attached and explanation below.

Step-by-step explanation:

For this case we have the following dataset given:

0.74, 0.32, 1.66, 3.59, 4.55, 6.47, 9.99, 0.7, 0.37, 0.76, 1.9, 1.77, 2.42, 1.09, 2.03, 2.69,2.41, 0.54, 8.32, 5.70, 0.75, 1.96, 3.36, 4.06, 12.48

And for this case we can use the followinf R code to create the frequency histogram.

> x<-c(0.74, 0.32, 1.66, 3.59, 4.55, 6.47, 9.99,0.7, 0.37, 0.76, 1.9, 1.77, 2.42, 1.09, 2.03, 2.69,2.41, 0.54, 8.32, 5.70, 0.75, 1.96, 3.36, 4.06,12.48)

> length(x)

[1] 25

> hist(x, prob=TRUE)

And for this case we have the histogram on the figure attached. For the number of classes we use the formula of sturges:

$k = 1 +3.322 log (n)= 1+3.3 log(25)= 5.61$

And for this case we have approximately 6 classes. And that's what we can see on the figure attached

As we can see most of the values are on the left so then we have a right skewed to the right and the distribution is assymetrical, with most of the values between 0 and 6

4 0

4 years ago