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motikmotik
3 years ago
9

Which of the following represents 5x 4/9 in radical formj

Mathematics
1 answer:
solong [7]3 years ago
3 0
\bf a^{\frac{{ n}}{{ m}}} \implies  \sqrt[{ m}]{a^{ n}} \qquad \qquad
\sqrt[{ m}]{a^{ n}}\implies a^{\frac{{ n}}{{ m}}}\\\\
-------------------------------\\\\
5x^{\frac{4}{9}}\implies 5\sqrt[9]{x^4}
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What is the power of x? <br> A) 2 <br> B) 3 <br> C) 6 <br> D) 7
Thepotemich [5.8K]

Answer:

A

Step-by-step explanation:

They are basically wanting the value of x.

These are 2 secant lines drawn. Secant Line is a line that intersects the circle at 2 points.

To solve this, we have to use secant-secant theorem.

Secant-Secant Power Theorem tells us that if 2 secant lines are drawn from external point (here, E) to a circle, then, product of measure of one secant's external part and total secant is equal to other secants external part and whole secant.

In algebra, that is:

(x+1)(x+1+11)=(x+4)(x+4+1)

Let's multiply and find the value of x:

(x+1)(x+1+11)=(x+4)(x+4+1)\\(x+1)(x+12)=(x+4)(x+5)\\x^2 + 13x + 12=x^2+9x+20\\13x+12=9x+20\\13x - 9x = 20 - 12\\4x = 8\\x = 2

Hence, the correct answer choice is A

8 0
3 years ago
Which graph shows the solutions to<br> the inequality? PLSSS HELPPP
gavmur [86]
It’s the third graph down!!
7 0
3 years ago
(14-16). A new mattress at the Mattress Store cost $625. They are running a Christmas sale where I can save off the original pri
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3 years ago
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A truck can be rented from Company A for ​$90 a day plus ​$0.30 per mile. Company B charges ​$70 a day plus ​$0.40 per mile to r
sergiy2304 [10]

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8 0
3 years ago
Tomato as a taste modifier. Miraculin—a protein naturally produced in a rare tropical fruit—can convert a sour taste into a swee
Minchanka [31]

Answer:

a) .033  b) .4678 c) 100

Step-by-step explanation:

Distribution of miraculin produced is normal. To answer question we need to find the z-score of 100g, 110g and 120g miraculin

General formula for z score is given by

z=\frac{X-M}{s} where

  • X is the miraculin produced (120,110,100)
  • M is the mean miraculin produced for a partucilar tomato plant, which is 105.3
  • s is the standard deviation of the sample, which is 8.0

a)

z-score for 120 g miraculin is \frac{120-105.3}{8} =1.8375 then

P(x > 120) = P(z>1.8375) = 0.033

b)

z-score for 110 g miraculin is \frac{110-105.3}{8} = 0.5875

  z-score for 100 g miraculin is \frac{100-105.3}{8} = -0,6625

P(100 < x < 110) = P(x>100) - P(x>110) =0.7462 - 0,2784 = 0.4678

c)

if P(x < a) = 0.25 then corresponding z score for a is -0.6745. From the above formula we can calculate a:

\frac{a-105.3}{8} =-0.6625 which gives a= 100

8 0
3 years ago
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