Answer: 1/3
Step-by-step explanation:
From the question, we are informed that Pranav ate pizza for dinner on Monday night and had 2/3 of the pizza left over. We are further told that on Tuesday night, he ate 1/2 of what was left.
The amount of pizza that Pranav ate on Tuesday will be:
= 1/2 × 2/3
= 1/3
She ate 1/3 on Tuesday
Answer:
Exponential form: y = x^½
Step-by-step explanation:
Given
Required:
The exponential form
To convert to an exponential function, we have to take exponents of both sides using the base of the logarithm function.
This gives us
Since the base of the exponential function and the logarithm is the same (x), they'll cancel out one another
This leaves us with
Hence, the exponential form of the expression
is
Side opposite 30 = 1/2(hypotenuse) ⇒ 1/2(17) = 8.5
Side opposite 60 =
(side opposite 30) ⇒
= 14.72 when rounded 2 decimal places
The given equation is:
y = -10x + 1
Slope of this equation = -10
New line will be perpendicular to this line, so slope of new line = 1/10
So, we are to find the equation of a line with slope 1/10 and passing through (5,7). Using the point slope form we can write
y - 7 = 1/10 ( x - 5)
y = x/10 -1/2 + 7
y = x/10 + 13/2
⇒
x/10 - y = -13/2
So option C gives the correct equation of the new line
The time was 9:15am or 9:15pm depending on 4:15am or 4:15pm
