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Aleonysh [2.5K]
3 years ago
8

Explain how to write (2y)^3/2 in radical form.

Mathematics
1 answer:
lapo4ka [179]3 years ago
7 0
The formula for fractional exponents is \sqrt[n]{m} =  x^{ \frac{m}{n} } 

For this particular problem the expression would be written as \sqrt[2]{ x^{3} }
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Which is a solution to the equation 6x + y = –4?
Stolb23 [73]
(x,y)
sub those for x and y and see if you get a true statement

(2,-8)
6(2)+-8=-4
12-8=-4
4=-4
fasle

(2,8)
6(2)+8=4
12+8=4
20=4
false

(1,2)
6(1)+2=4
4+2=4
6=4
false

(1,-10)
6(1)+-10=4
6-10=-4
-4=-4
true

ANSWER IS D
7 0
3 years ago
How many 1/2s are in 3/8
GenaCL600 [577]
The answer is 3/16 because half of 3/8 is 3/16
5 0
2 years ago
Read 2 more answers
Mrs. Johnson gets her morning coffee. She can't decide which size to order. Which size is the better buy? Explain.
Tom [10]

Answer:

large

Step-by-step explanation:

3.95 divided by 12 = 0.33

4.25 divided by 16 = 0.27

4.55 divided by 20 = 0.2275

the 20oz is the least unit price

3 0
3 years ago
Step 3a: Calculating the average rate
Alex73 [517]

9514 1404 393

Answer:

  a) average rate = (total distance)/(total time)

  b) Rave = 2·R1·R2/(R1 +R2)

  c) cheetah's average rate ≈ 50.91 mph

Step-by-step explanation:

a) Let AB represent the distance from A to B. Let t1 and t2 represent the travel times (in hours) on leg1 and leg2 of the trip, respectively. Then the distances traveled are...

  First leg distance: AB = 70·t1   ⇒   t1 = AB/70

  Second leg distance: AB = 40·t2   ⇒   t2 = AB/40

The average rate is the ratio of total distance to total time:

  average rate = (AB +AB)/(t1 +t2)

  average rate = 2AB/(AB/70 +AB/40) = 2/(1/70 +1/40) = 2(40)(70)/(70+40)

  average rate = 560/11 = 50 10/11 . . . mph

__

No equations are given, so we cannot compare what we wrote with the given equations. In each step of the solution, we have used the rules of algebra and equality.

b) For two rates over the same distance (as above), the average is their harmonic mean:

  average rate = 2r1·r2/(r1+r2)

__

c) The cheetah's average rate was 50 10/11 mph ≈ 50.91 mph.

4 0
3 years ago
The area of the conference table in Mr. Nathan’s office must be no more than 175 ft2. If the length of the table is 18 ft more t
valentina_108 [34]
The answer is  0 < x <span>≤ 7 
</span>
First, we know that width =  x
Which means that length = x +18

So, the possible equation for the Table's area is

X (X + 18)  ≤ 175

X^2 + 18x - 175  <span>≤ </span>0

Next, we need to calculate is by using complete square method
x^2 + 18x + 81 <span>≤ 175 + 81

(x + 9)^2 </span><span>≤ 256

|x + 9| </span><span>≤ sqrt(256)

|x + 9| </span><span>≤ +-16

-16 </span>≤ x + 9 <span>≤ 16

</span>-16 - 9 ≤ x <span>≤ 16 - 9

</span>-25 ≤ x <span>≤ 7

Since the width couldn't be negative, we can change -25 with 0,

so it become
</span> 0 < x ≤ 7 
7 0
3 years ago
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