Find the least square numbers exactly divisible by each one of numbers 6, 9, 15 and 20.

If a peregrine falcon dove at its maximum speed for half a mile to catch prey, how many seconds would the dive take? (Round your answer to the nearest second.)

The concepts of speed, time, and distance are frequently used in questions about motion in a straight line, circular motion, boats and streams, races, clocks, and so on. Therefore, aspirants should comprehend the interdependence of speed, distance, and time.
Relationship between speed, time, and distance
• Speed = Distance/Time: This indicates how slowly or quickly an object moves. It shows the distance traveled divided by the time taken to cover the distance.
Distance is directly proportional to speed, and time is inversely proportional to speed.
• Distance = Speed x Time, and
• Time = Distance / Speed; as speed increases, the time taken will decrease, and vice versa.
Any basic problem can be solved using these formulas. However, the correct usage of units is also important while using formulas.

If a peregrine falcon dove at its maximum speed for half a mile to catch prey, how many seconds would the dive take? (Round your answer to the nearest second.)

Which of the following is the graph of the equation y = 3x - 2 in the x y-plane?

Note:
We can also solve this question by eliminating the options.
The first option A) is not correct because the line passes through the origin and so it must satisfy the equation, which is not true as 0 $not equal to$ - 2
Then C) is not correct as the line passes through (0, -3), but this point does not satisfy the equation. Similarly, for option D) the point (0, 2) lies on the graph, but does not satisfy the equation.

Which of the following is the graph of the equation y = 3x - 2 in the x y-plane?

What is a peregrine falcon's maximum speed while diving to catch prey, in feet per second? (Round your answer to the nearest whole number 1 mile = 5280 feet)

Keith modeled the growth over several hundred years of a tree population by estimating the number of the trees' pollen grains per square centimeter that were deposited each year within layers of a lake's sediment. He estimated there were 310 pollen grains per square centimeter the first year the grains were deposited, with a 1% annual increase in the number of grains per square centimeter thereafter. Which of the following functions models p(t), the number of pollen grains per square centimeter t years after the first year the grains were deposited?

In the xy-plane, a line that has the equation y = c for some constant c intersects a parabola at exactly one point. If the parabola has the equation $y equals negative x squared plus 5 x$ , what is the value of c ?

$table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell 2.4 x minus 1.5 y equals 0.3 end cell row cell 1.6 x plus 0.5 y equals negative 1.3 end cell end table$
The system of equations above is graphed in the xy -plane. What is the x -coordinate of the intersection point ( x, y) of the system?

$x minus 2 y equals negative 3$
$x plus y equals 21$
According to the system of equations above, what is the value of X ?

Note:
Here we find the value of y from equation (1) and use it in equation (2).
We could do it the other way and receive the same answer, that is, if we find the value of y from equation (2) and use it in equation (1) to find x, we get the same value of x as found in the solution above.
Students are encouraged to try this method too.

$x minus 2 y equals negative 3$
$x plus y equals 21$
According to the system of equations above, what is the value of X ?

$a left parenthesis x plus b right parenthesis equals 4 x plus 10 space I n space t h e space e q u a t i o n space a b o v e comma space a space a n d space b space a r e space c o n s tan t s. space I f space t h e space e q u a t i o n space h a s space i n f i n i t e l y space m a n y space s o l u t i o n s space f o r space x comma space w h a t space i s space t h e space v a l u e space o f space b space ?$

The scatterplot above shows the number of registered voters, , x and the number of people who voted in
the last election, y , for seven districts in a town. A line of best fit for the data is also shown. Which of the following could be the equation of the line of best fit?

The relationship between x and y can be written as y = mx , where m is a constant. If y = 17 when x =a , what is the value of y when x = 2a ?

700 , 1200 ,1600 , 2000 , x
If the mean of the five numbers above is 1600 , what is the value of x?

Some values of x and their corresponding values of y are shown in the table above, where a is a constant. If there is a linear relationship between x and y, which of the following equations represents the relationship?

In the triangle above, a = 34. What is the value of b + c ?

Lynne has $8.00 to spend on apples and oranges. Apples cost $0.65 each, and oranges cost $0.75 each. If there is no tax on this purchase and she buys 5 apples, what is the maximum number of whole oranges she can buy?