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2 years ago

Rewrite the expression in the picture in the form k times x^n.

Mathematics

1 answer:

pantera1 [17]2 years ago

3 0

Answer:

8 x^-2

Step-by-step explanation:

2 sqrt(x) * 4x ^ -5/2

Rewriting

2 x^1/2 * 4x ^ -5/2

2*4 = 8

x^1/2 * x^ -5/2

We know a^b * a^c = a^(b+c)

x^ 1/2 * x^ -5/2 = x^ (1/2 -5/2 ) = x^ (-4/2) = x^-2

8 x^-2

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The sum of 4 times a number and 7 more than the number is 80

marusya05 [52]

Answer:

(4×x) 7> 80 :)

Step-by-step explanation:

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2 years ago

A line of fit might be defined as

OleMash [197]

A line through a scatter plot of data points that best expresses the relationship between those points.

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2 years ago

Let f(x)=241+3e−1.3x . What is the point of maximum growth rate for the logistic function f(x) ? Round your answer to the neares

FromTheMoon [43]

Answer:

The point of maximum growth is at x=0.82

Step-by-step explanation:

Given a logistic function

$f(x)=\frac{24}{1+e^{-1.3x}}$

we have to find the point of maximum growth rate for the logistic function f(x).

From the graph we can see that the carrying capacity or the maximum value of logistic function f(x) is 24 and the point of maximum growth is at $y=\frac{24}{2}$ i.e between 0 to 12

So, we can take $y=\frac{24}{2}$ and then solve for x.

$\frac{24}{2}=\frac{24}{1+e^{-1.3x}}$

⇒ $2=1+3\exp{-1.3x}$

⇒ $1=3.\exp{-1.3x}$ ⇒ $\frac{1}{3}=\exp{-1.3x}$

⇒ log 3=-1.3x

⇒ -0.4771=-1.3.x ⇒ x=0.82

Hence, the point of maximum growth is at x=0.82

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3 years ago

If it takes 7.1 pounds of seed to plant one acre of grass how many acres can be planted with 9.94 pounds of seeds

melamori03 [73]

Answer:

9.94*1/7.1= 1.4 acres

Step-by-step explanation:

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3 years ago

The perimeter of an equilateral triangle is 27 centimeters. Find the altitude of the triangle

Alinara [238K]

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81=20.25+b^2
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6 0

3 years ago