Answer:4
Step-by-step explanation: y=mx+b is the slope intercept form of an equation. m is the slope and b is the y-intercept. just substitute 4 for m and 2 for b and get the original equation y = 4x + 2. since 4 is m, then 4 is the slope.
Hi lovely,
The answer you're looking for would be 76.7
.59x130 = 76.7
Answer:
x = 15
Step-by-step explanation:
Substitute: -4/5x + 7 = -5
Rearrange unknown terms to the left side of the equation: -4/5x = -5 - 7
Calculate the sum or difference: -4/5x = -12
Divide both sides of the equation by the coefficient of variable: x = -12 × (-5/4)
Remove the parentheses: x = 12 × 5/4
Cross out the common factor: x = 3 × 5
Calculate the product or quotient: x = 15
So the answer is: x = 15
Answer:
6.51 cm
Step-by-step explanation:
Since the sphere causes the water level in the cylindrical container to rise and thus increase by its own volume, the volume of the sphere is V = 4πr³/3 where r = radius of sphere. The volume rise of the container is thus V' = πR²h where R = radius of base of cylinder = 7 cm and h = height of water level = 7.5 cm.
Since V = V',
4πr³/3 = πR²h
dividing through by π, we have
4r³/3 = R²h
multiplying both sides by 3/4, we have
r³ = 3R²h/4
taking cube-root of both sides, we have
r = ∛(3R²h/4)
Substituting the values of the variables into the equation, we have
r = ∛(3(7 cm)² × 7.5 cm/4)
r = ∛(3 × 49 cm² × 7.5 cm/4)
r = ∛(1102.5cm³/4)
r = ∛(275.625 cm³)
r = 6.508 cm
r ≅ 6.51 cm to 2 decimal places
