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Eduardwww [97]
3 years ago
11

Rewrite the rational exponent as a radical.(5*3/4 power)2/3 power

Mathematics
1 answer:
mrs_skeptik [129]3 years ago
6 0

Use:\\\sqrt[n]{a^m}=a^{\frac{m}{n}}\\\\(a^n)^m=a^{nm}\\\\\left(5^{\frac{3}{4}}\right)^{\frac{2}{3}}=5^{\frac{3}{4}\cdot\frac{2}{3}}=5^{\frac{1}{2}\cdot\frac{1}{1}}=5^{\frac{1}{2}}=\sqrt[2]{5}=\boxed{\sqrt5}

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What is the volume of a spherical water balloon with a radius of 6 inches
weeeeeb [17]
904.78 in^3...Hope this helps!
3 0
3 years ago
When Richards solved the equation 2(x - 5) = 56 + 6(x - 5), he used the distributive property in step one to write an equivalent
satela [25.4K]

The equivalent equation after applying distributive property will be:

(2*x) - (2*5) = 56 + (6*x) - (6*5)

Further explanation:

Distributive property states that the number is distributed to the sum or difference it is being multiplied to i.e.

a(b+c) = a*b + a*c

So the given equation is:

2(x - 5) = 56 + 6(x - 5)

2 will be distributed to x-5 and 6 will be distributed to x-5

The equivalent equation will be:

(2*x) - (2*5) = 56 + (6*x) - (6*5)\\Simplifying\\2x-10 = 56+6x-30\\2x-6x = 56-30+10\\-4x = 36\\x=-9

Keywords: Equations, Distributive property

Learn more about distributive property at:

  • brainly.com/question/5639299
  • brainly.com/question/2369634

#LearnwithBrainly

4 0
3 years ago
Does this graph show a function? Explain how you know.
Natasha2012 [34]

Answer: D. No; the graph fails the vertical line test.

The vertical line test is a tool used to determine if we have a function. If we can draw a single straight vertical line through more than one point on the red curve, then the graph is said to have failed the vertical line test. Consequently, this leads to the relation not being a function.

For this circle graph, we can draw a vertical line through more than one point, which is why we don't have a function here.

Put another way, there are inputs (x) that produce more than one output (y), so that's why we don't have a function.

4 0
3 years ago
Find a and b, if the points P(6,0) and Q(3,2) lie on the graph of ax + by =12
Musya8 [376]
The given equation is:
ax + by = 12
We are given that the two points (6,0) and (3,2) belong to this line. This means that these two points satisfy the equation of the line.
Therefore, to get the value of a and b, we will substitute with the given points in the equation and solve the resulting equations for a and b as follows:

For the point (6,0):
ax + by = 12
a(6) + b(0) = 12
6a = 12
a = 12/6 = 2

For point (3,2):
ax + by = 12
(2)(3) + b(2) = 12
6 + 2b = 12
2b = 12-6 = 6
b = 3

Based on the above calculations:
a = 2 and b = 3, therefore, the equation is:
2x + 3y = 12

6 0
3 years ago
Replacement times for CD players are normally distributed
slavikrds [6]

Answer:

0.04

Step-by-step explanation:

X~N(μ=14.2; σ=0.9), a=7

P(X>7)=1-P(X\leq 7)

P(0\leq X\leq a)=P(\frac{0-\mu}{\sigma} \leq \frac{X-\mu}{\sigma}\leq \frac{a-\mu}{\sigma}), Z= \frac{X-\mu}{\sigma}=P(0\leq X\leq a)=P(\frac{0-\mu}{\sigma} \leq \frac{X-\mu}{\sigma}\leq \frac{a-\mu}{\sigma}), Z= \frac{X-\mu}{\sigma}

P(0\leq X\leq 7) = P(\frac{0-5.5}{1.5} \leq Z\leq \frac{7-5.5}{1.5}) = \Phi(1.66)-\Phi(-3.66) = \Phi(1.66) -(1-\Phi(3.66)) = 0.95-(1-0.99)=0.96

P(X>7)=1-0.96=0.04

3 0
3 years ago
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