The answer is 5.8
hope this helps (;
Answer:
Step-by-step explanation:
You want to set up a system. We are given some points fo we can set up inputs and outputs. F(0) = 5, given by point (0,5). and F(3)=135, given by point (3,135). The exponential function general equation is F(x)= a(b)^x. plug in out functions into the general equation to get a(b)^0=5 and a(b)^3=135. Then you simplify and solve for a. In the equation a*b^0=5, anything to the power of 0 is 1. so a*1=5. Therefore a=5. we plug in the a to the second equation to find b. 5*b^3=135. b^3=27. b=3 from simplifying. Therefore, the equation should be 5(3)^x. THATS IT!
Answer:
d=6h
Step-by-step explanation:
Speed of the raft= 6 miles per hour
Total distance (d) of the raft= rate × number of hours
d=r*h
Independent variable is the number of hours(h)
Dependent variable is the distance (d)
Equation for the situation
d=r*h
d=distance
r=rate
h=number of hours
From the question,
r=6 miles per hour
Therefore,
The equation is
d=r*h
d=6*h
d=6h
Answer:
Step-by-step explanation:
goal is 2,000 and she already makes 1,500
2,000-1,500 gives you the amount she needs to earn from shoe sales
she needs to earn 500 dollars with a 25% commision
25% can also be written as 25/100
for every $100 she makes, she gets $25 but she needs $500
100:25
we need the second number in the ratio to equal $500
500 divided by 25 is 20
20 x 100 : 25 x 20
2000: 500
ANOTHER WAY: 500 is 1/4 of 2000 and 1/4 is 25% so you could multiply the amount she needed by 4 to get your answer
Area of the plot = 193 sq.yd. , Option B is the correct answer.
<h3>
What is Area ?</h3>
Area is the space occupied by a flat surface or an object .
It is measured in square units
It has wide daily life importance like in the question mentioned , a plot will be measured in area of the space.
It is given that
A developer buys an empty lot to build a small house.
area of the lot = ?
The figure is incomplete and the complete figure is attached with the answer.
To determine the area the figure needs to be divided into triangles and rectangles as shown in the figure
Area of the first triangle = (1/2) * base * height
By Calculation
base = 17 unit and height = 10 unit
= (1/2) * 17 * 10
= 17*5
=85 sq.unit
Area of the second triangle = (1/2)* 9* 8
=36 sq. unit
Area of the rectangle = base * height
base = 9 unit and height = 7 unit
Area = 9*7= 63 sq.unit
Area of the last triangle = (1/2) * 2*9
= 9 unit
The area of the plot = 85+36+63+9
Area of the plot = 193 sq.yd.
Therefore , Option B is the correct answer.
To know more about Area
brainly.com/question/27683633
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