Answer: 2 19/24 hours was spent in practising.
Step-by-step explanation:
During the first hour, they practiced for 5/8 of an hour. During the second hour, they practiced for 2/3 of an hour. This means that the total time for which they practiced in the first 2 hours would be
5/8 + 2/3 = 31/24 hours
During the last two hours, they first practiced for 3/5 of an hour, took a 1/2 hour break and then practiced the rest of the time. This means that the rest of the time for which they practiced is
2 - (3/5 + 1/2) = 2 - 11/10 = 9/10
Therefore, the time they spent practicing in total would be
31/24 + 3/5 + 9/10 = 67/24 =
2 19/24 hours
Answer:
The equation of a line through (5 -3) that is parallel to y = 1/2 x+3 is
y = - 2 x + 7
Step-by-step explanation:
Let us assume the slope of the line whose equation we need to find is m 1.
The line parallel to the needed line is: y=1/2x+3
Comparing it with the general form: y = m x + C
we get m 2 = 1/2
Now, as Line 1 is Perpendicular to Line 2.
⇒ m 1 x m 2 = -1
⇒ m 1 x ( 1/2) = -1
⇒ m 1 = - 2
Also, the point son the line 1 is given as: (x,y) = (5,-3)
Put the value of point and Slope in y = m x + C to find the value of Y- INTERCEPT.
we get: -3 = (-2) (5) + C
or, C = -3 + 10 = 7
⇒ C = 7
The general line equation is given as: y = m x + C
Substituting the values of C and m, we get:
y = - 2 x + 7
Hence, the equation of a line through 5 -3 that is parallel to y = 1/2 x+3 is
y = - 2 x + 7
Step-by-step explanation:
volume of cylinder formula pi*r²*h
radius of 9cm is 4.5 as 9/2
so 4.5²*15 is 303.75cm
303.75*pi is 303.75picm³
The expression for the polynomial graphed will be y(x) = (x + 3)(x - 1 )(x - 4 ).
<h3>How to factor the polynomial?</h3>
From the graph, the zeros of the polynomial of given graph are:
x = -3
x = 1
x = 4
Equate the above equations to zero
x + 3 = 0
x - 1 = 0
x - 4 = 0
Multiply the equations
(x + 3)(x - 1 )(x - 4 ) = 0
Express as a function gives;
y = (x + 3)(x - 1 )(x - 4 )
Hence, the factored form of the polynomial will be y = (x + 3)(x - 1 )(x - 4 ) .
Read more about polynomials at:
brainly.com/question/4142886
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Answer:
3 6/25
Step-by-step explanation:
Make the mixed fractions improper fractions and multiply them together. After that make the multiplied improper fraction a mixed fraction (answer in drawings)
