MATHEMATICS MIDDLE SCHOOL

Some help me with this please!!

Answers

Answer 1

Answer:

First of all observe that

$r^6s^3=(r^2s)^3 \implies \sqrt[3]{r^6s^3}=\sqrt[3]{(r^2s)^3}=r^2s$

So, we have

$\log(r^5s^6\sqrt[3]{r^6s^3})=\log(r^5s^6\cdot r^2s)$

We can simplify the input as

$\log(r^5s^6\cdot r^2s)=\log(r^7s^7)$

The logarithm of a multiplication is the sum of the logarithms:

$\log(r^7s^7)=\log(r^7)+\log(s^7)$

Finally, invoke the logarithm property $\log(a^b)=b\log(a)$

to get the final answer

$\log(r^7)+\log(s^7)=7\log(r)+7\log(s)$

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Hi right now im doing homework about common denominators and for some reason I cant understand how to do it

Answers

It would be great if you added some more details, but for common denominators you try to find the least common number that the 2 or more of the numbers you got have!
For example:
1/2 and 2/3 if you multiply 2 by 3 and 3 by 2, they both are 6, so you would multiply 1/2 both by 3 to make it into 3/6 and 2/3 by 2 to make it into 4/6!

basically you have to find the lcm for the common denominator so that you can add/subtract them

Line CD passes through (0, 1) and is parallel to x + y = 3. Write the standard form of the equation of line CD.x+y=1
ox-y=1
Ox
+1=y
x+y=11

Answers

Answer:

x + y = 1

Step-by-step explanation:

y=-x+3

slope is -1

y-1=-(x)

x + y = 1

x+y= 1.........................

What is the volume of this triangular prism? A. 532 cm3 B. 54 cm3 C. 108 cm3 D. 216 cm3

Answers

C. 108cm3.

In terms of working - you do the area of a triangle (base x height / 2) which is (4x6)/2 = 24/2 = 12cm2. Then you multiply that by the length of the prism which is 9cm and 12x9 = 108 so the answer is 108cm3.

the answer is C.108 Hope I helped

The rectangular room is 10.25 feet long, 8 feet wide . 4 feet high, what volume of compacted trash will the dumpster hold?

Answers

Answer:

Dumpster will hold a volume of 328 $ft^3$ compacted trash.

Step-by-step explanation:

Given

Length of rectangular room: 10.25 ft

Width of rectangular room: 8 ft

Height of rectangular room:4 ft

Now,

Volume of the rectangular room = $length * width * height = 10.25 * 8 * 4= 328\ ft^3$

What makes a constant term differ from a term with a variable

Answers

variable varies or changes

constatant term doesn't change

examples
variables can change so example
x>10
x can be 11 or 33 or anythign bigger than 10

constants are no fun
they don't change an are boring, like
3 or 8, it just stays that way

A variable term is the term being changed, and the constant term is kept the same

What the answer for 3 - 5y = -37

Answers

3-5y=-37

-3 -3

-5y=-40

y=8

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