Answer:
Usually it means to solve it. Sometimes they give you values to substitute in for variables (letters) in the math sentence/equation/expression.
Does that make sense?
Step-by-step explanation:
Answer:
y = -6
Step-by-step explanation:
We are trying to find the y-value when x = -3.
We see from our graph and linear equation that when x = -3, y = -6.
Therefore, our answer is -6.
Answer:
17. surface area ≈ 441.84
04π m² or 1387.38 m²
18. Ratio of volumes = 8/27
19. volume of the smaller solid = 339 yards³
Step-by-step explanation:
17 .
To find the surface area of the sphere we have to find the radius of the sphere first.
volume of a sphere = 4/3πr³
volume = 1548π m³
r = ?
volume of a sphere = 4/3πr³
1548π = 4/3 × π × r³
multiply both sides by 3/4
1548π × 3/4 = πr³
4644π/4 = πr³
1161π = πr³
divide both sides by π
r³ = 1161
cube root both sides
r = ∛1161
r = 10.5101942
r ≈ 10. 51
surface area of a sphere = 4πr²
surface area = 4 × π × 10.51²
surface area = 4 × 110.4601 × π
surface area = 441.8404π m²
surface area = 441.8404 × 3.14 = 1387.378856 m² ≈ 1387.38 m²
18
If two figure or solid are similar with scale factor or ratio of x/y then the ratio of their volume is (x/y)³. If the ratio of of two similar prism is 2 : 3 the volume will be (2/3)³ = 8/27 .
19
If two solids are similar then the ratio of their surface area is the squared of the scale factor.
121/361 = (x/y)²
square root both sides
x/y = 11/19
If two solids are similar then the ratio of their volume is the cube of the scale factor.
(11/19)³ = a/1747
1331/6859 = a/1747
cross multiply
6859a = 2325257
divide both sides by 6859
a = 2325257/6859
a = 339.008164455
a ≈ 339 yards³
volume of the smaller solid ≈ 339 yards³
The answer is in the picture below. To get this answer you first plot the y-intercept which in this case is 9. Then after you plot the y-intercept plot the rest of the points by taking the slope, which is 4 and going up 4 over 1.
Answer:
d(x) = 175 - |175 - 25x|
Step-by-step explanation:
Suppose I plan to ride your bicycle from Portland Oregon to Seattle Washington and back to Portland.
Portland and Seattle are 175 miles apart. I plan to travel 25 miles every day.
If we consider the starting point i.e. Portland as the zero distance i.e. reference, then we can model the distance from Portland d(x) as
d(x) = 175 - |175 - 25x|
where x is the number of days into the ride. (Answer)
