ANSWER
x = 1.2226
EXPLANATION
To solve this equation we have to apply the property of the logarithm of the base,

Thus, we can apply the natural logarithm - whose base is e, to both sides of the equation,

Now we apply the property of the logarithm of a power,

In our equation,

Then divide both sides by 4 and solve,

The solution to this equation is x = 1.2226, rounded to four decimal places.
Answer:
1,500 Kg
Step-by-step explanation:
Formual for froce is given by
force = mass * acceleration
Force exerted by 1 woman = 425 N
no. of women exerting force = 3
Force exerted by 3 woman = 425 * 3 N = 1275 N
Acceleration produced by 1275 N force = 0.85 m/s^2
Using formula force = mass * acceleration
1275 = mass * 0.85 m/s^2
=> mass = 1275/ 0.85 m/s^2 = 1,500 Kg
Thus, mass of car is 1,500 Kg.
Answer:
(x, y) = (1, 3)
Step-by-step explanation:
given the 2 equations
x + y = 4 → (1)
y = 3x → (2)
Substitute y = 3x into (1)
x + 3x = 4
4x = 4 ( divide both sides by 4 )
x = 1
Substitute x = 1 into (2) for corresponding value of y
y = 3 × 1 = 3
solution is (1, 3 )
How far does a wheel move when it rotates once? The length of the outside of the tyre? Isn't that the same as the circumference?
Answer:
Step-by-step explanation:
Then the x part of the point takes on the opposite sign that it currently has.
- Right now it is 1. If it takes on the opposite sign, it becomes - 1
- So the new point is (-1,-5).
- Nothing happens to the - 5 when reflected across the y axis.