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Vlad [161]
3 years ago
5

Provide steps please

Mathematics
1 answer:
KengaRu [80]3 years ago
7 0

Answer:

5 cm

Step-by-step explanation:

The volume (V) of a cuboid is calculated as

V = lbh ( l is length, b is breadth and h is height )

Here l = 20, h = 12, V = 1200 and b is to be found, thus

20 × b × 12 = 1200, that is

240b = 1200 ( divide both sides by 240 )

b = 5

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What is the graph of y = 3/4x - 3?
bearhunter [10]

Answer:

-4, 3 I think that correct but I'm not sure so sorry if it's not

Step-by-step explanation:

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Step-by-step explanation:

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2 years ago
For what values of x is log base 0.8 (x+4)&gt;log base 0.4 (x+4)<br>Thank you!
Radda [10]
We are seeking the solution of the inequality:

\displaystyle{ \log_{0.8}(x+4)\ \textgreater \ \log_{0.4}(x+4).


We recall that a log function f(x)=\log_b(x) is either increasing or decreasing:

i) it is increasing if b>1, 

ii) it is decreasing if 0<b<1.

Consider the functions \displaystyle{ \log_{0.8}(x) and \displaystyle{ \log_{0.4}(x).

The graphs of these functions both meet at x=1 (clearly), and after 1 they are both negative. So from 0 to 1 one of them is larger for all x, and from 1 to infinity the other is larger. (Being strictly decreasing, their graphs can only intersect once.)


We can check for a certain convenient point, for example x=0.8:

\displaystyle{ \log_{0.8}(0.8)=1 and

\displaystyle{ \log_{0.4}(0.8)=\log_{0.4}(0.4\cdot 2)=\log_{0.4}(0.4)+\log_{0.4}(\cdot 2)=1+\log_{0.4}(2).

Now, \displaystyle{ \log_{0.4}(2) is negative since we already explained that for x>1 both functions were negative. This means that 

\displaystyle{ \log_{0.8}(0.8)\ \textgreater \ \log_{0.4}(0.8), and since 0.8\in (0, 1), then this is the interval where \displaystyle{ \log_{0.8}(x)\ \textgreater \ \log_{0.4}(x).


So, now considering the functions \displaystyle{ \log_{0.8}(x+4) and \displaystyle{ \log_{0.4}(x+4), we see that 

x+4 must be in the interval (0,1), so we solve:

0<x+4<1, which yields -4<x<-3 after we subtract by 4.


Answer: (-4, -3). Attached is the graph generated using Desmos.

7 0
2 years ago
Nine years ago, Kimo was twice as old as Jennifer was then. In four years, Jennifer will be the same age that Kimo is now? How o
Georgia [21]

Answer:Kimo is 17 years old and Jennifer is 13 years old.

Step-by-step explanation:

Let x represent Kimo's current age.

Let y represent Jennifer's current age.

Nine years ago, Kimo was twice as old as Jennifer was then. It means that

x - 9 = 2(y - 9)

x - 9 = 2y - 18

x = 2y - 18 + 9 = 2y - 9

In four years, Jennifer will be the same age that Kimo is now. It means that

x = y + 4 - - - - - - - - - 1

Substituting x = 2y - 9 into equation 1, it becomes

2y - 9 = y + 4

2y - y = 4 + 9

y = 13

x = 2y - 9 = 2 × 13 - 9

x = 17

8 0
2 years ago
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