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saveliy_v [14]
3 years ago
8

What expression is equivalent to 7sqrtx^2/5sqrty^3​

Mathematics
1 answer:
V125BC [204]3 years ago
3 0

Answer:

Step-by-step explanation:

Sounds as tho' possible answer choices were listed.  Please, share them without being asked to do so.  Thank you.

 7√(x²)          7√(x²)

------------- = ----------------------

  5 √(y³)        5√( y^(3/2) )

We want to get the fractional exponent out of the denominator.  To do this, multiply both numerator and denominator by y^(1/2):

 7√(x²)          7√(x²)                y^(1/2)      7√(x²)·y^(1/2)       7x√y

------------- = --------------------- * ----------- = --------------------- = ----------

  5 √(y³)        5√( y^(3/2) )       y^(1/2)        5 √(y²)                  5y

This is the final answer.  We have succeeded in removing radicals / fractional exponents from the denominator.

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Jacks plant grew 50 inches in 100 weeks at this rate how much did it grow in 210 days
denpristay [2]
210 days* (1 week/ 7 days)* (50 inches/ 100 weeks)= 15 inches.
(Note that the units cancel out so you get the answer)

Final answer: 15 inches~
3 0
3 years ago
An observation deck extends 202 feet out above the valley. The deck sits 152 feet above the valley floor. If an object is droppe
OleMash [197]

Answer:

<h3>3 secs</h3>

Step-by-step explanation:

Given the height of the object as it drops from the observation deck expressed as;

h= -16t^2+152

To determine the the time it will take the object to be 8 feet above the valley floor, we will substitute h = 8 into the equation and calculate t as shown;

8 = -16t^2+152

subtract 8 from both sides

8-8 = -16t^2+152-8

0 =  -16t^2+144

0-144 =  -16t^2

-144 = -16t^2

16t^2 = 144

Divide both sides by 16;

16t^2/16 = 144/16

t^2 = 9

t = √9

t = 3seconds

Hence it will take 3 seconds for the object to be 8 feet above the valley floor

6 0
3 years ago
(7-98)(7+98)
Fantom [35]

Answer:

Step-by-step explanation:

(7-98)(7+98)

= 7^2 - 98^2

= 49 - 9604

= -9555

6 0
3 years ago
An expression is shown.
Anettt [7]

Answer:

im pretty sure its D :) hope this helps you out.

7 0
3 years ago
Arrange the functions in ascending order, starting with the function that eventually has the least value and ending with the fun
natali 33 [55]
The main factor when x values are high is the nature of the function. For example, polynomial functions intrinsically grow slower than exponential functions when x is high. Also, the greater the degree of the polynomial, the more the function grows in absolute value as x goes to very large values.

In specific, this means that our 2 exponential functions grow faster than all the other functions (which are polynomial) and thus they take up the last seats. Also, 7^x grows slower than 8^x because the base is lower. Hence, the last is 8^x+3, the second to last is 7^x.

Now, we have that a polynomial of 2nd degree curves upwards faster than a linear polynomial when x is large. Hence, we have that the two 2nd degree polynomials will be growing faster than the 2 linear ones and hence we get that they fill in the middle boxes. Because x^2+4>x^2, we have that x^2+4 is the 4th from the top and x^2 is the 3rd from the top.

Finally, we need to check which of the remaining functions is larger. Now, 5x+3 is larger than 5x, so it goes to the 2nd box. Now we are done.
6 0
3 years ago
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