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lianna [129]
3 years ago
10

Witch of the following properties can be used to show that the expression 4^5/3 is equivalent to ^3√4^5

Mathematics
1 answer:
xz_007 [3.2K]3 years ago
8 0

Step-by-step explanation:

I think so option b Is answer

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Determine the sum: (14abc2 + 12a2b + 16b2c) + (−3abc2 + 2b2c).
Alenkinab [10]
The answer is 11abc^2 + 12a^2b + 18b^2c because:
14abc^2-3abc^2 is 11abc^2
12a^2b + 0 = 12a^2b
16b^2c +2b^2c = 18b^c
4 0
3 years ago
Helppppp pleaseeee!!!!!!!!<br> (Show the work)
Vikentia [17]

Answer:

B

Step-by-step explanation:

ABD (half of the rectangle) is a right-angled triangle.

so, Pythagoras applies.

c² = a² + b²

c is the Hypotenuse (the baseline opposite of the 90 degree angle) and in our case the line BD.

a and b are the 2 sides enclosing the 90 degree angle. in our case here the lines AD and AB.

so,

BD² = AD² + AB² = (6-1)² + (5-2)² = 5² + 3² = 25 + 9 = 34

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7 0
3 years ago
Samuel took an antique clock that his grandfather had purchased, to be appraised. The appraiser evaluated the current price of t
andrew11 [14]
This is an exponential growth problem. Exponential growth can be expressed mathematically in the following way: 
y=a (1+r)^{t}.
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Parameter r is percentage increase. 
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An equation that would describe given problem is:
y=400 (1+0.02)^{t}
t is the time in years.
I attached the graph of this function.

6 0
4 years ago
The probability that a mature hen will lay an egg on a given day is 0.80. Hannah has 12 hens. What is the probability that 10 of
OleMash [197]

Answer: 0.28

Step-by-step explanation:

Binomial probability formula :

P(X=x)=\ ^nC_xp^x(1-p)^x , where  x = Number of success , n= sample size , p= probability of success for each trial.

Let x = Number of hens lay eggs.

then, p=  0.80

n= 12

For x=10

P(x=10)=\ ^{12}C_{10}(0.80)^{10}(0.20)^{2}\\\\=\dfrac{12!}{10!2!}\times 0.1073741824\times 0.04\\\\\approx0.28

Hence, the required probability = 0.28

3 0
3 years ago
Read 2 more answers
The graph represents the function f(x) = x2 + 3x + 2. If g(x) is the reflection of f(x) across the x-axis, g(x) = . (Write the f
Tanya [424]

Answer:

g(x) = - (x² + 3x + 2) = - x² - 3x - 2

Step-by-step explanation:

The graph represents the function f(x) = x² + 3x + 2.

Now, g(x) is the function which is obtained by reflecting f(x) across the x-axis.

While a graph of a function reflects across x-axis then its y-values will change sign for a fixed value of x.  

Therefore, the function g(x) will be given by  

g(x) = - (x² + 3x + 2) = - x² - 3x - 2 (Answer)

7 0
3 years ago
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