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3 years ago

There are 80 students total in 7th grade, of whom 15% are left handed. How many

1 answer:

5 0

15% translates to 15/100 as a fraction.

If you multiply that by the number of student there are (80) you’d get the 15% of students who are left handed.

80(15/100)=12

12 students are left-handed

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What is the solution of the inequality? 2(m + 3) < -5 +3m

natima [27]

Answer:

m>11

Step-by-step explanation:

2(m+3)<-5+3m

2(m+3)>3m-5

2m+6>3m-5

6<3m-5-2m

6<m-5

6+5<m

11<m

m>11

5 0

3 years ago

Write the given second order equation as its equivalent system of first order equations. u′′−5u′−4u=1.5sin(3t),u(1)=1,u′(1)=2.5

lakkis [162]

Answer:

hi your question options is not available but attached to the answer is a complete question with the question options that you seek answer to

Answer: v = 5v + 4u + 1.5sin(3t),

1.5sin(3t)

Step-by-step explanation:

u" - 5u' - 4u = 1.5sin(3t) where u'(1) = 2.5 u(1) = 1

v represents the "velocity function" i.e v = u'(t)

As v = u'(t)

u' = v

since u' = v

v' = u"

v' = 5u' + 4u + 1.5sin(3t) ( given that u" - 5u' - 4u = 1.5sin(3t) )

= 5v + 4u + 1.5sin(3t) ( noting that v = u' )

so v' = 5v + 4u + 1.5sin(3t)

d/dt $\left[\begin{array}{ccc}u&\\v&\\\end{array}\right]$ = $\left[\begin{array}{ccc}0&1&\\4&5&\\\end{array}\right]$ $\left[\begin{array}{ccc}u&\\v&\\\end{array}\right]$ + $\left[\begin{array}{ccc}0&\\1.5sin(3t)&\\\end{array}\right]$

Given that u(1) = 1 and u'(1) = 2.5

since v = u'

v(1) = 2.5

note: the initial value for the vector valued function is given as

$\left[\begin{array}{ccc}u(1)&\\v(1)\\\end{array}\right]$ = $\left[\begin{array}{ccc}1\\2.5\\\end{array}\right]$

7 0

3 years ago

evan plans to put half of the money in his savings account spend 1/5 on bubble to share with his friends and buy comic books wit

riadik2000 [5.3K]

Four out of five will go to the comic books

6 0

4 years ago

I need help with this math problem!

notka56 [123]

Write out 5t^2 3t 5t^2
-------- . Invert --------- and multiply ---------- by the result:
8x^2 (x^2) 8x^2

5t^2
multiply ---------- by the result: 5t^2 5*x^2 25 t^2 x^2
8x^2 ------- * --------- = ----------------
8x^2 3t 8x^2 (3t)

Reducing this, we get 25t
-------
24x

3 0

3 years ago

suppose that the equation n=700(0.2) to the power of 0.5t represents the nulber of employees working t years after the opening o

Sedaia [141]

Answer:

700

Step-by-step explanation:

Since t represents the amount of years after the opening and you want to know the amount of employees working there on opening day you can plug in 0 for t.

n=700(.2)^.5(0)

n=700

5 0

3 years ago