All categories

4 years ago

Help 3-4 pls I’m foimg to give brainliest

Mathematics

1 answer:

Lelechka [254]4 years ago

3 0

Use division, that should help you solve this

You might be interested in

744 ÷ 40 in long division

wariber [46]

18.5 would be the answer and here’s my work

7 0

3 years ago

Solve the equation: 10 ln(100x) – 3 = 117

Over [174]

Step-by-step explanation below.

3 0

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

Dose anyone know this problem if u so plz help!

Dennis_Churaev [7]

$A=\dfrac{1}{2}(a+b)h+\dfrac{1}{2}\pi r%2\\
a=8\\
b=4\\
h=4\\
r=2\\
A=\dfrac{1}{2}(8+4)\cdot4+\dfrac{1}{2}\pi \cdot 2^2\\
A=24+2\pi=2(12+\pi)$

7 0

4 years ago

F(x) = 3x + 2 What is f(5)? PLEASE HELP!!!!

abruzzese [7]

Resolving a function of any nature means determining your zeros or raizes.

The zeros of a function occur when the function is null.

Then:

f(x) = 3x - 2

To determine the root
f(x) = 0 = 3x - 2
3x = 2
x = 2/3 Final result

8 0

3 years ago