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3 years ago

11

I need help with this question an i cant get it wrong

1 answer:

Gennadij [26K]3 years ago

3 0

Divide your shape into two different shapes. a cube and a rectangular prism.

the cube has the measurements of 20*20*20 giving it a volume of 8000 inches^3

the rectangular prism has the measurements of 40*30*20 giving it a volume of 24000 inches^3

now add them together to get 32,000 inches^3 as your answer

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What amount of a 40% acid solution must be mixed with 200 mL 10% solution to produce a 20% solution?

vaieri [72.5K]

Answer:

Step-by-step explanation:

(x + 200)20 = 200(10) + x(40)

20x + 4000 = 2000 + 40x

2000 = 20x

X = 100 mL

8 0

3 years ago

Find the limit of the function by using direct substitution.

serg [7]

Answer:

Option a.

$\lim_{x \to \frac{\pi}{2}}(3e)^{xcosx}=1$

Step-by-step explanation:

You have the following limit:

$\lim_{x \to \frac{\pi}{2}{(3e)^{xcosx}$

The method of direct substitution consists of substituting the value of $\frac{\pi}{2}$ in the function and simplifying the expression obtained.

We then use this method to solve the limit by doing $x=\frac{\pi}{2}$

Therefore:

$\lim_{x \to \frac{\pi}{2}}{(3e)^{xcosx} = \lim_{x\to \frac{\pi}{2}}{(3e)^{\frac{\pi}{2}cos(\frac{\pi}{2})}$

$cos(\frac{\pi}{2})=0\\$

By definition, any number raised to exponent 0 is equal to 1

So

$\lim_{x\to \frac{\pi}{2}}{(3e)^{\frac{\pi}{2}cos(\frac{\pi}{2})} = \lim_{x\to \frac{\pi}{2}}{(3e)^{\frac{\pi}{2}(0)}\\\\$

$\lim_{x\to \frac{\pi}{2}}{(3e)^{0}} = 1$

Finally

$\lim_{x \to \frac{\pi}{2}}(3e)^{xcosx}=1$

6 0

3 years ago

Solve algebraically. <br>6(t-2) + 15t < 5(5 + 3t) <br><br>With work shown please!!

sammy [17]

Step-by-step explanation:

6t-12+15t | 25+15t

21t-12 | 25+15t

21t-12 < 25+15t

hence proved..

8 0

3 years ago

Read 2 more answers

5 1<br> - - - = <br> 8 3<br><br> simplify the expression

tensa zangetsu [6.8K]

The answer is...
7
-
24

8 0

3 years ago

7g + 11 subtracted from 12

BlackZzzverrR [31]

A subtracted from b means b-a

7g+11 subtracted from 12 means 12-(7g+11)=12-1(7g+11)=12-7g-11=12-11-7g=1-7g

5 0

3 years ago