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NikAS [45]
3 years ago
12

Find the number of permutations in the word “mother”.

Mathematics
1 answer:
Marrrta [24]3 years ago
3 0
Since this is a permutation, it would be 5!(factorial)

so 5x4x3x2x1
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KiRa [710]

Answer:

The second one

Step-by-step explanation:

5 0
3 years ago
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Find the diameter of the object
UNO [17]

Answer:

4

Step-by-step explanation:

The diameter of a circle is 2 times the radius. (the diameter is the length from an outer point in  the circle, to one directly across)

In this case, the radius is 2.

So, 2 x 2 = 4.

The diameter is 4.

7 0
2 years ago
Which statement BEST describes the equation where A represents the initial value and x represents time in years?
serg [7]

The function of exponential growth or decay is given as  y= a(1 ± r)ˣ.  y represents a function of exponential decay with 45%. The correct option is D.

<h3>What is exponential growth or decay function?</h3>

Consider the function:

y= a(1 ± r)ˣ

where m is the number of times this growth/decay occurs, a = initial amount, and r = fraction by which this growth/decay occurs.

  • If there is plus sign, then there is exponential growth happening by r fraction or 100r %.
  • If there is negative sign, then there is exponential decay happening by r fraction or 100r %.

If we compare the given function with the exponential function, then it can be observed that the value of (1±r) is less than 1, therefore, the function will be of exponential decay.

Now, if the (1-r) is compared with 0.55 given in the function than the value of r will be,

1 - r = 0.55

-r = 0.55 - 1

-r = -0.45

r = 0.45

r = 45%

Hence, y represents a function of exponential decay with 45%.

Learn more about exponential growth and decay here:

brainly.com/question/2193820

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6 0
2 years ago
Complete the equation of the line through (3,-1)(3,−1)left parenthesis, 3, comma, minus, 1, right parenthesis and (4,7)(4,7)left
Mandarinka [93]

Answer: y=8x-25

Step-by-step explanation:

Given

Line passes through (3,-1)\ \text{ and}\ (4,7)

Equation of line when it passes through two points (x_1,y_1),(x_2,y_2)

\Rightarrow \dfrac{y_2-y_1}{x_2-x_1}=\dfrac{y-y_1}{x-x_1}

Insert the values

\Rightarrow \dfrac{7+1}{4-3}=\dfrac{y+1}{x-3}\\\\\Rightarrow \dfrac{8}{1}=\dfrac{y+1}{x-3}\\\\\Rightarrow 8x-24=y+1\\\Rightarrow y=8x-25  

8 0
3 years ago
The length of a rectangle is four more than three times its width. the area of the rectangle is 25. write an algebraic model for
Dafna11 [192]

width (w) = w

Length (L) = 3w + 4

Area (A) = L x w

25 = (3w + 4)w

25 = 3w² + 4w

0 = 3w² + 4w - 25

w = \frac{-2 +/-\sqrt{79} }{3}

w ≈ 2.3, w ≈ -3.6 (width cannot be negative!)

w ≈ 2.3

Length (L) = 3w + 4 = 3(2.3) + 4 = 6.9 + 4 = 10.9

Answer: width=2.3, Length=10.9

4 0
3 years ago
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