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Tju [1.3M]
3 years ago
5

If 2^2x = 2^3, what is the value of x?

Mathematics
1 answer:
Orlov [11]3 years ago
3 0

Answer:

x=2

Step-by-step explanation:

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What must the height of a cylindrical 750-gal tank if it is 4ft in diameter? (1ft^3 = 7.48gal) Round to the nearest inch.
Lunna [17]

well, we know that 1ft³ = 7.48 gallons, alright, we have a volume in gallons and a diameter in feet, so if we were to use the diameter in feet to get the volume what we would end up will be a volume in ft³, so let's convert firstly the gallons to ft³ then

750g\cdot \cfrac{ft^3}{7.48g}\implies 750g\cdot \cfrac{ft^3}{~~\frac{748}{100}g~~}\implies \cfrac{18750}{187}ft^3

why do I use a fraction? for the sake of not losing value in the rounding, so let's use the fraction for the volume of a right-circular cylinder

\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} h=height\\ r=radius\\[-0.5em] \hrulefill\\ r = \stackrel{\textit{half diameter}}{2}\\ V=\frac{18750}{187} \end{cases}\implies \cfrac{18750}{187}=\pi (2)^2h \\\\\\ \cfrac{18750}{187(4\pi )}=h\implies \stackrel{ft}{7.979}~\approx~h\implies \stackrel{\textit{converting to inches}}{7.979\cdot 12\approx h}\implies \stackrel{\textit{rounded up}}{\stackrel{in}{96}\approx h}

5 0
3 years ago
How many 150 ml bottles can be filled with 6 litres/
lara31 [8.8K]

Answer:

40 bottles

Step-by-step explanation:

6liters=6000ml so I do 6000/150=40.Therfore 40 bottle of 150ml can fill a bottle wth 6 literes

AND SORRY FOR BAD GRAMMAR BUT I HOPE IT HELPS!!

4 0
2 years ago
Plz help!!! Will give brainliest!!!
ElenaW [278]

Answer:

94+41=135.

180-135=45.

45+111=156

180-156=24

x=24.

4 0
3 years ago
Use the quadratic formula to solve for the roots in the following equation.
fomenos
First lets combine terms.

<span>4x 2 + 5x + 2 = 2x 2 + 7x – 1 subtract the left side from right side
</span>
(4x 2- 2x 2) + (5x - 7x) + (2 + 1)=0 then combining
2x 2 - 2x + 3 =0  now we can use the quadratic formula

<span>
</span>a=2,   b=-2   c=3

see attached and plug them in


6 0
3 years ago
Suppose the area of a parallelogram is 214.68 mm2. If it's base is 31.6 mm, then its height is ___ mm.
musickatia [10]
2.16-2345-11234566067899--
6 0
3 years ago
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