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Eddi Din [679]
3 years ago
7

Which expression is equivalent to 4√32⋅√2 ?

Mathematics
1 answer:
bonufazy [111]3 years ago
6 0
4\sqrt{32}\times\sqrt{2}\rightarrow4\sqrt{32\times2} <em>because two square rooted numbers multiplied together equals the square root of the radicands </em>(the number under a square root symbol is the "radicand"

<u>so now you have</u>: 4\sqrt{64}=4\times(\pm8)
Depending on the choices, you can have either 4\times8=32 or 4\times(-8)=-32
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What is the net decimal equivalent of the series 30/25/15. round to the nearest thousandths?
Brut [27]
<span>We can determine, a 30/25/15 series trade discount would be calculated as follows:

let X = retail price.

X - 0.30 </span>× X = Y    ⇒ first discounted price.
<span>
Y - 0.25 </span>× Y = Z    ⇒ second discounted price.
<span>
Z - 0.15*Z = T        </span>⇒ total discounted price.
<span>
X - 0.30 </span>× X = (1 - 0.30) × X = 0.70 × X = Y
<span>
Y - 0.25 </span>× Y = (1 - 0.25) × Y = 0.75 × Y = Z
<span>
Z - 0.15 </span>× Z  = (1 - 0.15) × Z  = 0.85 × Z = T
<span>
since Z = 0.85 </span>× Y, then 0.85 × Z = 0.85 × 0.75 × Y
<span>
since Y = 0.70 </span>× X, then 0.85 × Z = 0.85 × 0.75 × 0.70 × X
<span>
based on the above, then T = total discount


                                               = 0.85 </span>× 0.75 × 0.70 × X


                                               = 0.44625X<span>

30/25/15 series discount is equivalent to a total discount of 44.625%
</span>
7 0
3 years ago
Factor completely. a^2 - 25b^2
pshichka [43]
Hello : 
<span>Factor completely. a^2 - 25b^2 :
a²-25b²=a²-(5b)² = (a-5b)(a+5b)</span>
5 0
3 years ago
Identify the x-intercept and y-intercept of the line 4x−2y=−124x-2y=-12 .
Sveta_85 [38]
Set y = 0 for the X intercept and x = 0 for the y intercept
7 0
3 years ago
6 1/4 - 3 5/8<br><br> please help im too lazy to do all the work. <br> I WILL GIVE 20 POINTS!
IRINA_888 [86]

Answer:

2 5/8

Step-by-step explanation:

simple met... I mean math :)

8 0
2 years ago
1. Predict the height ( in cm) of boy
Keith_Richards [23]

Answer:

Step-by-step explanation:

It'd be wise to say what is represented by each x and y.  I will assume that x represents the age of the child in months and y the height in cm.

Then, if the height is 115 cm, 115 cm = 0.58x + 72.27.  Must solve this for x:

     115 cm - 72.27 cm

x = ---------------------------- = 73.7 cm (about 29 inches, which is reasonable)

                 0.58

If the child is 30 months old, x = 30 and y (the height) is

0.58(30) + 72.27 cm = 89.7 cm (about 35.3 cm, also reasonable)

8 0
3 years ago
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