Answer:
length: 200
width: 65
Step-by-step explanation:
length: 3w + 5
width: w
perimeter = 2L + 2W
530 = 2(3w + 5) + 2w
530 = 6w + 10 + 2w
530 = 8w + 10
520 = 8w
w = 65
length: 3w + 5 = 3(65) + 5 = 200
width: w = 65
The midpoints are (8,3) and (6.5,6).
<u>Step-by-step explanation</u>:
Midpoint formula = ((x1+x2)/2 , (y1+y2)/2)
(x1,y1) = (5,2)
(x2,y2) = (11,4)
Midpoint = ((5+11)/2 , (2+4)/2)
⇒ ((16/2) , (6/2))
⇒ (8,3)
(x1,y1) = (3,8)
(x2,y2) = (10,4)
Midpoint = ((3+10)/2 , (8+4)/2)
⇒ ((13/2) , (12/2))
⇒ (6.5,6)
All are the exponential function.
<h2>Exponent</h2>
Exponential notation is the form of mathematical shorthand which allows us to write complicated expressions more succinctly. An exponent is a number or letter is called the base. It indicates that the base is to raise to a certain power. c is the base and x is the power.
<h3>Which functions represent exponential growth?</h3>
1. y = f(x) is a exponential function.
Because the range of the exponential function is from 0 to ∞ for all values of x. And it is 1 at x = 0.
2. y = h(x) is a exponential function.
Because the range of the exponential function is from 0 to ∞ for all values of x. And it is 1 at x = 0.
3. y = g(x) is a exponential function.
Because the range of the exponential function is from 0 to ∞ for all values of x. And it is 1 at x = 0.
4. y = k(x) is a exponential function.
Because the range of the exponential function is from 0 to ∞ for all values of x. And it is 1 at x = 0.
Thus, all are the exponential function.
More about the exponent link is given below.
brainly.com/question/5497425
1. Total number of marbles=10 red marbles+80 green marbles+110 orange marbles=200 marbles
2. Let's call "V" the event that consists that he selects a green marble from the bag. Then:
P(x)=80/200
P(x)=0.4
3. This problem can be represented by a binomial distribution, where:
P=0.4
q=1-P=0.6
n=50
4. The expect value in a binomial function is written as below:
E(x)=nxP
E(x)=50x0.4
E(x)=20
The answer is: He can expect 20 zucchini.
