Answer:
x=4
Step-by-step explanation:
Answer:
98
Step-by-step explanation:
Average is the sum of all data points divided the number of data points.
In this specific situation, the average test score, 91, is equal to the sum of Molly's four individual test scores divided by the number of test Molly had, 4.
(( 86 + 87 + 93 + x) / 4) = 91
86 + 87 + 93 + x = 91/4
86 + 87 + 93 + x = 364
x = 364 - 93 - 87 - 86 = 98
Answer: The volume of the stone is 576 cubic inches
Step-by-step explanation: The dimensions of the tank are given in feet and inches, hence we shall use the lower of the unit of measurement that is, inches. Note that 1 foot equals 12 inches, so the length is 2 feet times 12, which equals 24 inches. Also the width is 1 foot times 12 which equals 12 inches. Then the tank is filled with water up to a depth of 8 inches , so the volume of water in the tank can be calculated as follows;
Volume = L x B x H
Where Length = 24, Width = 12 and Height = 8
Volume = 24 x 12 x 8
Volume = 2304
At 2304 cubic inches, a stone is placed in the water tank and the water level rises by 2 inches which implies that the depth is now 10 inches. With the addition of the stone, the dimensions are now shown as;
Length = 24, Width = 12, and Height = 10
Volume = L x W x H
Volume = 24 x 12 x 10
Volume = 2880
With the rise in volume of water in the tank, the difference (which is the volume of the stone) now is Volume with stone minus volume without stone, that is
Volume of stone = 2880 - 2304
Volume of stone = 576
Therefore the volume of the stone is 576 cubic inches
Answer:
For a, I got √10 for the minimum value of modulus n.
Answer:
Step-by-step explanation:
The given quadratic function is f(x)=2(2x^2+4x)+3
Multiplying through to open the brackets,
f(x)=4x^2 + 8x +3
To find the zeros, we will equate
f(x) = 0
Therefore,
4x^2 + 8x +3 = 0
Finding two numbers such that when we multiply them, it gives us 12xx^2 and when we add them, it gives us 8x, we have 6x and 2x. Therefore,
4x^2 + 8x +3 = 0 is expressed as
4x^2 + 2x + 6x +3 = 0
2x(2x + 2) +3(2x + 3) = 0
(2x +2)(2x +3) =0
f(x) = 2x +2)(2x +3)
