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dlinn [17]
3 years ago
14

Let f(x)=15/(1+4e^(-0.2x)

Mathematics
1 answer:
Anit [1.1K]3 years ago
6 0
The interval of growth rate can be seen in the graph below


The answer is (-∞, ln(4)/0.2) =  (-∞, 6.9314)


(As x goes to infinity f(x) goes to 15)


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A grocery store charges $1.49 per pound of bananas. Use a unit rate to find the price of 3 pounds of bananas.
Anna007 [38]

Answer:

$4.47

Step-by-step explanation:

Price if 1 pound of bananas=$1.49

Price if 3 pounds of bananas=3x$1.49

=$4.47

7 0
3 years ago
Write<br> in function notation: h=x-2
grin007 [14]

Answer:

h(x) = x - 2

Step-by-step explanation:

h(x) = x - 2

6 0
3 years ago
Read 2 more answers
For which value of k does the equation |14 + x| -5 = k have exactly one solution
Blizzard [7]

Answer:

k = |14 + x| -5

Step-by-step explanation:

4 0
3 years ago
Juan wants to know the cross-sectional area of a circular pipe. He measures the diameter which he finds, to the nearest millimet
Tpy6a [65]

This question is not correctly written.

Correct Question

Juan wants to know the cross- sectional area of a circular pipe. He measures the diameter which he finds, to the nearest millimeter, to be 5 centimeters. To find the area of the circle, Juan uses the formula A=〖πr〗^2 where A is the area of the circle and r is its radius. He uses 3.14 for π.

a) What value does Juan get for the area of the circle? Make sure you include your units.

b) Michelle found the area of a circle as 78.5 〖in〗^2. She used 3.14 for π. What is the radius of the circle?

Answer:

a)The Area of the circle is 1962.5 millimeters ²

b) The radius of the circle is

5inches( in)

Step-by-step explanation:

a) The formula for the Area of a circle = πr²

The diameter of the circle was measured by Juan to the nearest millimeters = 5 centimeters

The first step is to convert 5cm to millimeters

1 centimetre = 10 millimeters

5 centimetres =

Cross multiply

= 5 × 10 millimeters

Therefore, 5 centimetres = 50 millimeters.

Since the Diameter of the circle = 50 millimeters,

Radius is calculated as Diameter ÷ 2

Therefore , the radius of the circle = 50 millimeters ÷ 2

= 25 millimeters.

The second step is to find the Area of the circle.

Area of the circle = πr²

Juan used 3.14 for π

Therefore , Area of the circle is calculated as:

= 3.14 ×(25millimeters)²

= 3.14 × 625 millimeters²

= 1962.5 millimeter ²

The Area of the circle is 1962.5 millimeters²

b) Michelle found the area of a circle as 78.5 〖in〗^2. She used 3.14 for π. What is the radius of the circle?

The formula to calculate the Area of a Circle is given as:

A( Area of a circle) = πr²

Since we are asked to find the radius of the circle in Part B, we can derive the formula to find the radius of a circle

A = πr²

r² = A ÷ π

r = √A÷ π

Therefore , the formula to find the Radius of a circle is given as :

r = √A ÷ π

Already given in the question are the following values :

Area of the circle = 78.5inches²

π = Michelle used 3.14

The radius of the circle

= r = √A ÷ π

r = √78.5 in² ÷ 3.14

r = √ 25

r = 5inches( in)

Therefore the radius of the circle is

5inches(in).

5 0
3 years ago
Clara is growing her hair out and wants it to be no longer than 15 cm but more than 11 cm. Her hair is 7 cm right now and grows
sertanlavr [38]
For this case we have the following compound inequality:
 11 <7 + 0.25t ≤ 15
 We must solve this inequality for time.
 We have then:

 For 11 <7 + 0.25t:
 
11 <7 + 0.25t
 11 - 7 <0.25t
 4 <0.25t
 4 / 0.25 <t
 16 <t

For 7 + 0.25t ≤ 15:
 7 + 0.25t ≤ 15
 0.25t ≤ 15 - 7
 0.25t ≤ 8
 t ≤ 8 / 0.25
 t ≤ 32

 Therefore, the answer is:
 16 <t ≤ 32

 Answer:
 
16 <t ≤ 32
 
Clara has the desired length in more than 16 weeks, but up to 32 weeks.
6 0
3 years ago
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