Answer: you can rent the kayak for 5.3 hours
Step-by-step explanation:
Total amount of money that you have to spend at the beach is 50.
A kayak cost 5 per hour to rent. This means that if you rent the Kayak for X hours, the amount that you will spend would be 5×x = 5x. I buy lunch for 8.50. I want to save 15 for food later. This means that total amount of money spent is the sum of money spent in renting the kayak and buying of lunch.
Total amount spent = 5x + 8.50
Total amount spent + Total amount that you want to save = Total amount of money that you have to spend at the beach. Therefore
5x + 8.50 + 15 = 50 - 15 - 8.5 = 26.5
x = 26.5/5 = 5.3
202 ft^2
The lateral area is the area of all the sides except the base. So you find the area of the triangles (16), then the left rectangle (80), then the right rectangle (90). Finally you add them together.
16+16+80+90=202
Answer:
The graph not have x-intercepts
Step-by-step explanation:
we know that
The x-intercept is the value of x when the value of y is equal to zero
we have
This is the equation of an absolute value in vertex form open upward
The vertex is the point (2,12)
The y-coordinate of the vertex is above the x-axis and the graph open upward
That means ----> The graph do not intersect the x-axis
therefore
The graph not have x-intercepts
<u><em>Verify</em></u>
For y=0
substitute in the equation
----> is not true
The left side of the equation cannot be a negative number
so
The equation not have solution for y=0
therefore
The graph not have x-intercepts
see the attached figure to better understand the problem
Answer: 3.751*10^18kg
Step-by-step explanation:
δ =619.09−0.000097p....equa1 where p (the distance from the center of the earth) is measured in meters and δ is measured in kilograms per cubic meter.
Calculating the density of air at 5km above earth surface
P = 5000m + 6370000m = 6.375*10^6m
δ = 619.09 -(.000097* 6.375*10^6)
δ = 0.715kg/m^3 = density
Since Mass = density*volume...equ2
To calculate volume of air around the spherical earth at height 5km
V = (4/3 pai R^3) - (4/3pai r^3) ...equation 3 where R =6.375*10^6m, r = 6.37*10^6
Substituting R and r in equation 2 to solve for volume of air
V = 1.085*10^21 - 1.08*10^21
V = 5.25*10^18m^3
Substituting δ and V into equation 2 to solve for mass of air
M = 0.715 * (5.25*10^18)
M = 3.751*10^18kg
