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3 years ago

If I have 300 apples and eat 123 how many do I have left?

Mathematics

2 answers:

Ganezh [65]3 years ago

8 0

300-123=177
You will have 177 apples left.

Rama09 [41]3 years ago

4 0

300 - 123 = 177

You have 177 apples left.

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Which equation correctly solves this formula for r?

Nastasia [14]

I do not know the answer

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2 years ago

The rate of change of the downward velocity of a falling object is the acceleration of gravity (10 meters/sec 2) minus the accel

Alexus [3.1K]

Answer:

See below

Step-by-step explanation:

Write the initial value problem and the solution for the downward velocity for an object that is dropped (not thrown) from a great height.

if v(t) is the speed at time t after being dropped, v'(t) is the acceleration at time t, so the the initial value problem for the downward velocity is

v'(t) = 10 - 0.1v(t)

v(0) = 0 (since the object is dropped)

The equation v'(t)+0.1v(t)=10 is an ordinary first order differential equation with an integrating factor

$\bf e^{\int {0.1dt}}=e^{0.1t}$

so its general solution is

$\bf v(t)=Ce^{-0.1t}+100$

To find C, we use the initial value v(0)=0, so C=-100

and the solution of the initial value problem is

$\bf \boxed{v(t)=-100e^{-0.1t}+100}$

what is the terminal velocity?

The terminal velocity is

$\bf \lim_{t \to\infty}(-100e^{-0.1t}+100)=100\;mt/sec$

How long before the object reaches 90% of terminal velocity?

90% of terminal velocity = 90 m/sec

we look for a t such that

$\bf -100e^{-0.1t}+100=90\rightarrow -100e^{-0.1t}=-10\rightarrow e^{-0.1t}=0.1\\-0.1t=ln(0.1)\rightarrow t=\frac{ln(0.1)}{-0.1}=23.026\;sec$

How far has it fallen by that time?

The distance traveled after t seconds is given by

$\bf \int_{0}^{t}v(t)dt$

So, the distance traveled after 23.026 seconds is

$\bf \int_{0}^{23.026}(-100e^{-0.1t}+100)dt=-100\int_{0}^{23.026}e^{-0.1t}dt+100\int_{0}^{23.026}dt=\\-100(-e^{-0.1*23.026}/0.1+1/0.1)+100*23.026=1,402.6\;mt$

3 0

3 years ago

Write 0.12 as a fraction. Let x = ? 100x = ? 100x - x = ? - ? 99x = ? X = ?

N76 [4]

Answer:

6/50 simplified to 3/25

Step-by-step explanation:

step 1 Address input parameters & values.

Input parameters & values: The decimal number = 0.12

step 2 Write it as a fraction

0.12/1

step 3 Multiply 100 to both numerator & denominator

(0.12 x 100)/(1 x 100) = 12/100

It can be written as 12% = 12/100 or 12/100

step 4 To simplify 12/100 to its lowest terms, find LCM (Least Common Multiple) for 12 & 100.

4 is the LCM for 12 & 100

step 5 divide numerator & denominator by 4

12/100 = (12 / 4) / (100 / 4)

= 3/25

3/25 is a simplest fraction for the decimal point number 0.12

4 0

4 years ago

Tony’s check for dinner was $15.90. How much change will he gett from a $20 bill

netineya [11]

Answer:

The answer is $4.10

Step-by-step explanation:

You have to subtract 15.90 from 20

6 0

4 years ago

Jose earns a weekly salary of $322. How much does he make in 44 weeks?

ioda

Answer:

14168

Step-by-step explanation:

322 x 44 = 14168

hope this helps!

3 0

3 years ago