All categories

3 years ago

What is the answer ?

Mathematics

1 answer:

Deffense [45]3 years ago

8 0

$a=3;\ b=5\\\\\text{substitute:}\\\\\dfrac{b}{a}=\dfrac{5}{3}$

You might be interested in

PLZ HELP I WILL GIVE THE BRAINLEST AND 22 PTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! An expression is shown below: 6(m + 2 +

n200080 [17]

Answer:

part A: expression 1: 6(8m+2)

expression 2: 6m+12+42m

Part B: 6(m+2+7m)= 6(8m+2)

combine like terms is 6(m+2+7m), so it is 6(2+8m) or 6(8m+2)

6(8m+2)= 6(8m+2)

Part C: 6m+12+42m=6(m+2+7m)

m=0

6(0+2+7(0))=6(0)+12+42(0)

6(2)= 12

12=12

7 0

4 years ago

Evaluate z + 2+ z for x = 2, y=-3, z = -4.

Artyom0805 [142]

Answer:

-6

Step-by-step explanation:

Are you sure that z + 2+ z is correct? x and y do not appear here.

z + 2+ z simplifies to 2z + 2, and so, if z = -4, z + 2+ z has the value

2(-4) + 2, or -6.

7 0

3 years ago

the half life of c14 is 5730 years. Suppose that wood found at an archeological excavation site contains about 35% as much C14 a

Furkat [3]

Answer:

The wood was cut approximately 8679 years ago.

Step-by-step explanation:

At first we assume that examination occured in 2020. The decay of radioactive isotopes are represented by the following ordinary differential equation:

$\frac{dm}{dt} = -\frac{m}{\tau}$ (Eq. 1)

Where:

$\frac{dm}{dt}$ - First derivative of mass in time, measured in miligrams per year.

$\tau$ - Time constant, measured in years.

$m$ - Mass of the radioactive isotope, measured in miligrams.

Now we obtain the solution of this differential equation:

$\int {\frac{dm}{m} } = -\frac{1}{\tau}\int dt$

$\ln m = -\frac{1}{\tau} + C$

$m(t) = m_{o}\cdot e^{-\frac{t}{\tau} }$ (Eq. 2)

Where:

$m_{o}$ - Initial mass of isotope, measured in miligrams.

$t$ - Time, measured in years.

And time is cleared within the equation:

$t = -\tau \cdot \ln \left[\frac{m(t)}{m_{o}} \right]$

Then, time constant can be found as a function of half-life:

$\tau = \frac{t_{1/2}}{\ln 2}$ (Eq. 3)

If we know that $t_{1/2} = 5730\,yr$ and $\frac{m(t)}{m_{o}} = 0.35$ , then:

$\tau = \frac{5730\,yr}{\ln 2}$

$\tau \approx 8266.643\,yr$

$t = -(8266.643\,yr)\cdot \ln 0.35$

$t \approx 8678.505\,yr$

The wood was cut approximately 8679 years ago.

5 0

3 years ago

A business has $15,000 to spend on airline tickets to travel to a conference. It wants 27 of its employees to attend. The busine

VikaD [51]

In order to get as many tickets they need 15 business class tickets and 12 economy class tickets (700x15=10,500)(375x12=4500) Which when you add those two makes 15,000.

4 0

3 years ago

Read 2 more answers

what is the acceleration of a baseball when its speed increases from 1 m/sec to 25 m/sec in 1 second?

kirill115 [55]

Answer:

24 m/s²

Step-by-step explanation:

Acceleration is change in velocity over time.

a = Δv / Δt

a = (25 m/s − 1 m/s) / 1 s

a = 24 m/s²

7 0

3 years ago