Answer:
Introduction of yourself and an introduction to what your writing about
the answer to your question is 6/7 × 1 1/4 = 3/14
The following are scores made on a math test. 80, 90, 90, 85, 60, 70, 75, 85, 90, 60, 80 What is the mode of these scores?
puteri [66]
Answer: 90
Step-by-step explanation: The mode is the number that appears most frequently in a data set.
Notice that the score 90 appears more than any other
number in the set.
This means that 90 is the mode.
Answer:
The approximate diameter of the larger tank is 8.10 meters
Step-by-step explanation:
Here, we want to calculate the diameter of the larger tank
The volume of a sphere
V = 4/3 * π * r^3
Let us calculate the volume of the standard model
That will be;
Since diameter is 6 and r = d/2
r = 6/2 = 3 meters
V = 4/3 * π * 3^3 = 36 π m^3
Now, the volume of the larger tank is 2.5 times of this;
The volume of the larger tank is 2.5 * 36 π = 90 π m^3
So we can calculate the radius of this before we calculate its diameter
4/3 * π * r^3 = 90 π
4r^3/3 = 90
r^3 = 270/4
r^3 = 67.5
r = 3x√(67.5)
r = 4.07 m
Diameter here is 2 times this
= 4.07 * 2 = 8.14
To solve you need to set the equation equal to 6 (the height at which the player caught the ball.
6 = -16t^2 + 70t + 4
Next put the equation in standard form by subtracting 6 from both sides
-16t^2 + 70t - 2 = 0
This equation can be simplified by dividing by 2
-8t^2 + 35t - 1 = 0
This equation cannot be factored, but we can use the quadratic formula to find a value for x. Using the equation above we can find the values for a=-8, b = 35 and c = -1.
using the quadratic formula we can solve for x
-b +/- sqrt(b^2 - 4ac)
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2a
The solutions are
0.03 and 4.35. as 0.03 seems an unrealistic time to hit and catch a baseball we would expect the time to be 4.35 seconds.
