The solution of the equation 5-2x=-4x-7 is?

Two drivers, Alison and Kevin, are participating in a drag race. Beginning from a standing start, they each proceed with a const

Vilka [71]

Answer:

Alison wins against Kevin by 0.93 s

Step-by-step explanation:

Alison covers the last 1/4 of the distance in 3 seconds, at a constant acceleration $a_a$ , we have the following equation of motion

$s/4 = a_at_a^2/2$

where s (m) is the total distance, ta = 3 s is the time

$s = 4a_a3^2/2 = 18a_a$

$a_a = s/18$

Similarly, Kevin overs the last 1/3 of the distance in 4 seconds, at a constant acceleration $a_k$ , we have the following equation of motion:

$s/3 = a_kt_k^2/2$

tk = 4 s is the time

$s = 3a_k4^2/2 = 24a_k$

$a_k = s/24$

Since $a_a = s/18$ we can conclude that $a_a > a_k$ , so Alison would win.

The time it takes for Alison to cover the entire track

$s = a_aT_a^2/2$

$T_a^2 = 2s/a_a = 2s/(s/18) = 36$

$T_a = \sqrt{36} = 6 s$

The time it takes for Kevin to cover the entire track

$s = a_kT_k^2/2$

$T_k^2 = 2s/a_k = 2s/(s/24) = 48$

$T_a = \sqrt{48} = 6.93 s$

So Alison wins against Kevin by 6.93 - 6 = 0.93 s

4 0

3 years ago

Given that the mass of an average linebacker at Ursinus College is 250 lbs and the radius of a pea is 0.50 cm, calculate the num

Brilliant_brown [7]

Answer:

1.544*10⁹ Linebackers would be required in order to obtain the same density as an alpha particle

Step-by-step explanation:

Assuming that the pea is spherical ( with radius R= 0.5 cm= 0.005 m), then its volume is

V= 4/3π*R³ = 4/3π*R³ = 4/3*π*(0.005 m)³ = 5.236*10⁻⁷ m³

the mass in that volume would be m= N*L (L= mass of linebackers=250Lbs= 113.398 Kg)

The density of an alpha particle is ρa= 3.345*10¹⁷ kg/m³ and the density in the pea ρ will be

ρ= m/V

since both should be equal ρ=ρa , then

ρa= m/V =N*L/V → N =ρa*V/L

replacing values

N =ρa*V/L = 3.345*10¹⁷ kg/m³ * 5.236*10⁻⁷ m³ /113.398 Kg = 1.544*10⁹ Linebackers

N=1.544*10⁹ Linebackers

7 0

3 years ago

Alana earnerd money doing chores. Her grandmother agreed to add $4.00 to the amount Alana earned and then give her half of that

vitfil [10]

Answer:

Hence amount of Alana's donation is $4.5.

Step-by-step explanation:

Amount of Alana's donation = x

Her grandmother agreed to add $4.00 to the amount Alana earned.

So new amount of money = (x+4)

She gives only half of the sum which is (x+4)/2.

She gave her $4.25 so both values must be equal.

$\frac{\left(x+4\right)}{2}=4.25$

$x+4=4.25*2$

$x+4=8.5$

$x=8.5-4$

$x=4.5$

Hence amount of Alana's donation is $4.5.

6 0

3 years ago

On the first month test Keiko answered 19 out of 25 questions correctly. On the second test she got 17 out of 20 correct. On whi

LekaFEV [45]

He/she idk, got a higher score on the second test. How you do it is divide the score by the number out of it so like 19 divided by 25. Umm for the ratio, I'm not really sure, I guess you just do 19:25 and 17:20

8 0

3 years ago

Complete the table for the given rule.

lions [1.4K]

The table is

x | 4 | 8 | 12
y | 1 | 2 | 3

The question is not understandable. The well-formatted question is

Complete the table for the given rule

Rule:

$y=\dfrac{1}{4}x$

Table:

x | 4 | 8 | 12
y | ? | ? | ?

Evaluation of an algebraic expression when a specified integer is used to replace a variable is known as evaluating the expression. We use the provided number to replace the expression's variable before applying the sequence of operations to simplify the expression.

For instance

On evaluation of y= x+7 when x=3, and x=12

we get y(3) = 3 + 7 = 10 and y(12) = 12 + 7 = 19

The given equation is

$y=\dfrac{1}{4}x$

So, the table is

x | 4 | 8 | 12
y | 1 | 2 | 3

Learn more about evaluation here-

brainly.com/question/14677373

#SPJ10

8 0

2 years ago

The solution of the equation 5-2x=-4x-7 is?​

The solution of the equation 5-2x=-4x-7 is?