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4 years ago

How to solve uw⁷v⁵/u⁴w⁶?

Mathematics

1 answer:

Galina-37 [17]4 years ago

6 0

Answer:

$w^{13}*v^{5}/u^{3}$

Step-by-step explanation:

Since you have one $u^{4}$ on the denominator and 1 u in the numerator, $u/u^{4}$ becomes $1/u^3$ The $w^{7}$ and $w^{6}$ become $w^{13}$ , and the rest just come naturally.

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Let g(x) = 2x and h(x) = x^2 + 4. Find the value.(g o h) (0)a) 4b) 8c) 0d) 16

Paul [167]

$\begin{gathered} \text{Given} \\ g(x)=2x \\ h(x)=x^2+4 \end{gathered}$

Solve for (g o h)(x)

$\begin{gathered} (g\circ f)(x)=g\big(f(x)\big) \\ (g\circ f)(x)=g(x^2+4) \\ (g\circ f)(x)=2(x^2+4) \\ (g\circ f)(x)=2x^2+8 \end{gathered}$

Next substitute x = 0

$\begin{gathered} (g\circ f)(x)=2x^2+8 \\ (g\circ f)(0)=2(0)^2+8 \\ (g\circ f)(0)=8 \end{gathered}$ $\text{Therefore, }(g\circ f)(0)=8$

5 0

2 years ago

Given h(x) = 3x - 3, find h(3).

Daniel [21]

Answer:

Step-by-step explanation:

h(x) = 3x - 3

To find h(3) , substitute the value of x that's 3 into h(x). That is for every x in f (x) replace it with 3

We have

h(3) = 3(3) - 3

= 9 - 3

We have the final answer as

Hope this helps you

4 0

4 years ago

14 and 15 please thank you

Elanso [62]

Problem 14

<h3>Answer: They bought <u>too much</u> sand</h3>

-----------------------

Explanation:

Because the sandbox is a rectangular prism, aka a block, we multiply the length width and height to get the volume.

Volume = length*width*height = 6*5*1.2 = 36

The volume of the sandbox is 36 cubic feet.

The customer bought 40 cubic feet of sand, which exceeds the volume we computed earlier. The customer bought <u>too much</u> sand.

If it was a choice of buying too much or too little, I think it's better to go overboard just so you don't have to return to the store. The extra amount of sand (40-36 = 4 cubic feet) can possibly sold or donated at a later time.

==========================================================

Problem 15

<h3>Answers:</h3>

The equation could be 306.52 = 19.4h or 19.4h = 306.52
Either equation mentioned solves to h = 15.8; so the height of the prism is 15.8 meters

-----------------------

Explanation:

The rectangular prism formula to calculate the volume is

Volume = length*width*height

Note that the portion "length*width" can be replaced with "base area", because the base area is a rectangle.

So we can have this alternative formula

Volume = (base area)*height

If we know the area of the floor, and multiply by the height of the wall, then we can calculate the volume of a room like this. In this case, the floor is 19.4 square meters in area. The overall room is 306.52 cubic meters. We'll let h be the height of the wall. Use algebra to solve for h

Volume = (base area)*height

306.52 = 19.4h .... is one equation to set up

19.4h = 306.52

h = 306.52/19.4

h = 15.8

We divide both sides by 19.4 to undo the multiplication going on.

The height of the prism is 15.8 meters.

6 0

3 years ago

one days discharge at its mouth, 3 trillion gallons, could supply all of country A’s household for 5 months. how much water an a

serious [3.7K]

let's use engineering notation for the sake of brevity.

1 trillion is 1,000,000,000,000, or just 1E12, twelve zeros.

1 million is then 1E6, six zeros.

we know the discharge for one day is 3E12 gallons, and that'd do just fine for country A for 5 months. How many gallons in 1 month only?

$\bf \begin{array}{ccll} gallons&months\\ \cline{1-2} 3E12&5\\ x&1 \end{array}\implies \cfrac{3E12}{x}=\cfrac{5}{1}\implies 3E12=5x \\\\\\ \cfrac{3E12}{5}=x\implies 6E11=x\implies 600000000000=x$

if there are 200million inhabitants in A, namely 200E6 or 2E8 inhabitants, how many gallons per inhabitant from all those 6E11 gallons?

$\bf \begin{array}{ccll} gallons&households\\ \cline{1-2} 6E11&2E8\\ x&1 \end{array}\implies \cfrac{6E11}{x}=\cfrac{2E8}{1}\implies 6E11=2E8x \\\\\\ \cfrac{6E11}{2E8}=x\implies \cfrac{600000000000}{200000000}=x\implies 3000=x$

5 0

4 years ago

A father gave 1/6 of his money to his daughter and gave 1/5 of the remaining to his son and the father was left with $600. Whats

adoni [48]

*void photo*

Assume M is the Total Money

M/6 + (1/5)(M - M/6) + $600 = M

M/6 + M/5 - M/30 + $ 600 = M

M/6 + M/5 - M/30 - M = -$600

(1/6 + 1/5 - 1/30 - 1)M = -$600

-2M/3 = -$600

2M/3 = $600

M = ($600)(3/2)

M = $900

so the total money is $900
but the money he gave to his children is only 1/3 of the Total Money(M)

therefore,
=(1/3)($900)
=$300

$300 is the total money he gave to his children

4 0

3 years ago

Read 2 more answers