(3/4) /(4/5) = x/1
cross multiply
4/5x = 3/4
x = 3/4 * 5/4
x = 15/16 tons of pebbles are needed to cover the entire garden
B) negative. Is the answer
Answer:
The solution is x = e⁶
Step-by-step explanation:
Hi there!
First, let´s write the equation
ln(x⁶) = 36
Apply logarithm property: ln(xᵃ) = a ln(x)
6 ln(x) = 36
Divide both sides of the equation by 6
ln(x) = 6
Apply e to both sides
e^(ln(x)) = e⁶
x = e⁶
The solution is x = e⁶
Let´s prove why e^(ln(x)) = x
Let´s consider this function:
y = e^(ln(x))
Apply ln to both sides of the equation
ln(y) = ln(e^(ln(x)))
Apply logarithm property: ln(xᵃ) = a ln(x)
ln(y) = ln(x) · ln(e) (ln(e) = 1)
ln(y) = ln(x)
Apply logarithm equality rule: if ln(a) = ln(b) then, a = b
y = x
Since y = e^(ln(x)), then x =e^(ln(x))
Have a nice day!
Answer:
a) 10:13:3
b) 258 cm
Step-by-step explanation:
The ratio of elena's height to pavai's height is 10:13. The ratio of elena's height to kamir's height is 2:3. Their total height is 456 cm.
a) Find the ratio of elena's height to pavani's height to kamir's height in its simplest form.
10:13:3
b) What is pavani's height?
The ratio of elena's height to pavai's height is 10:13.
Their total height is 456 cm
Sum of proportions = 10 + 13 = 23
Hence:
13/23 × 456 cm
= 257.73913043 cm
Approximately = 258 cm
Answer:
Answer D: f(-2) = 2
Step-by-step explanation:
To evaluate f(-2) we need to find what is the y-value that the graph shows for the x-value "-2".
To find such, we look for the value x = -2 on the horizontal (x) axis (located two units to the left of the origin of coordinates (0,0)), and from there, we investigate at what y-value (value on the vertical y-axis) a line that follows the vertical grid passing through x = -2, intercepts the graph of the function.
That is pictured with a red dot in the attached image. Notice that the y-value at which such intersection occurs is y = 2.
Therefore f(-2) = 2
