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4 years ago

Plz help plz plz plz plz plz plz plz

Mathematics

1 answer:

Maurinko [17]4 years ago

4 0

Answer:

10

Step-by-step explanation:

To solve this, we have to do 4 divided by 2/5, because there are stops every 2/5 mile of a 4-mile track.

To make dividing easier, you can write 4 as a fraction, which would be 4/1

Now, divide:

4/1 ÷ 2/5

Remember that when you divide a fraction by another fraction, you can multiply the first fraction by the reciprocal of the second fraction and get the same fraction.

The reciprocal of 2/5 is 5/2.

So 4/1 x 5/2 = 20/2, which can be simplified as 10.

So there are 10 stops. ^-^

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A steel ball is dropped from a building’s roof and passes a window, taking 0.125 s to fall from the top to the bottom of the win

Anna35 [415]

Answer:

20.425 m

Step-by-step explanation:

t = Time taken

u = Initial velocity

v = Final velocity

s = Displacement

a = Acceleration due to gravity = 9.81 m/s²

$s=ut+\frac{1}{2}at^2\\\Rightarrow u=\frac{s-\frac{1}{2}at^2}{t}\\\Rightarrow u=\frac{1.2-\frac{1}{2}\times 9.81\times 0.125^2}{0.125}\\\Rightarrow u=8.98\ m/s$

Now this will the final velocity when it reaches the top of the window

$v^2-u^2=2as\\\Rightarrow s=\frac{v^2-u^2}{2a}\\\Rightarrow s=\frac{8.98^2-0^2}{2\times 9.81}\\\Rightarrow s=4.11\ m$

$v=u+at\\\Rightarrow v=8.98+9.81\times 0.125\\\Rightarrow v=10.21\ m/s$

If the upward flight is an exact reverse of the downward flight then the time taken while going down will be 1 second and going up will be 1 second.

$s=ut+\frac{1}{2}at^2\\\Rightarrow s=10.21\times 1+\frac{1}{2}\times 9.81\times 1^2\\\Rightarrow s=15.115\ m$

Hence total height of the building is 4.11+1.2+15.115 = 20.425 m

4 0

3 years ago

Which are the solutions of the quadratic equation x^2=-5x-3

frutty [35]

The correct answer would be $\frac{-5 +/- \sqrt{13} }{2}$

In order to solve for this you must first get the equation equal to 0.

x^2=-5x-3 ----> add 5x to both sides.
x^2 + 5x = -3 ----> add 3 to both sides.
x^2 + 5x + 3 = 0

Now knowing this we can use the coefficients of each one in descending order of power as a, b and c.

a = 1 (because it is the coefficient to x^2)
b = 5 (because it is the coefficient to x)
c = 3 (because it is the end number)

Now we can plug these values into the quadratic equation.

$\frac{-b +/- \sqrt{b^{2} - 4ac } }{2a}$

$\frac{-5 +/- \sqrt{5^{2} - 4(3)(1) } }{2(1)}$

$\frac{-5 +/- \sqrt{13} }{2}$

And those would be your two answers.

5 0

3 years ago

Describe how the graph of y= x2 can be transformed to the graph of the given equation.. . y = (x-4)2-8. . . . A Shift the graph

kolbaska11 [484]

"Shift the graph of y = x2 right 4 units and then down 8 unit" is the one among the following choices given in the question that describes how the graph of y= x2 can be transformed to the graph of the given equation y = (x-4)2-8. The correct option among all the options that are given in the question is the second option or option "B".

6 0

3 years ago

Determine the area of the rectangle at the bottom of the rectangular prism(height 15 cm,length 5 cm ,width 2 cm

marin [14]

the answer is 10 cm

Step-by-step explanation:

area= L×H

5×2

4 0

3 years ago

1) Graph both equation and identify the point of intersection. y=2x+3 x+2y=8

Verizon [17]

Answer:

Intersection Point: (0.4, 3.8)

General Formulas and Concepts:

Algebra I

Solving systems of equations by graphing

Step-by-step explanation:

Step 1: Define Systems

y = 2x + 3

x + 2y = 8

Step 2: Graph

Where the 2 lines intersect is the solution set to the systems of equations.

5 0

3 years ago