Ask question

Ask question

All categories

3 years ago

10

An equation _____ has one solution. always sometimes never

1 answer:

alina1380 [7]3 years ago

8 0

I think the correct answer from the choices listed above is the second option. An equation sometimes has one solution. A system of equation can have one solution when the equations intersect at one point. Equations can also have two or more number of solutions.

You might be interested in

A Flagpole casts a shadow 32 feet long. If a man is 6 feet tall casts a shadow 8 feet long at the same time and location. How ta

Kaylis [27]

24 feet
Set up a ratio of object height to shadow length.
So x/32=6/8
8(4)=32 so 6(4) would be 24.

4 0

3 years ago

The amount A of the radioactive element radium in a sample decays at a rate proportional to the amount of radium present. Given

slavikrds [6]

Answer:

a) $\frac{dm}{dt} = -k\cdot m$ , b) $m(t) = m_{o}\cdot e^{-\frac{t}{\tau} }$ , c) $m(t) = 10\cdot e^{-\frac{t}{2438.155} }$ , d) $m(300) \approx 8.842\,g$

Step-by-step explanation:

a) Let assume an initial mass m decaying at a constant rate k throughout time, the differential equation is:

$\frac{dm}{dt} = -k\cdot m$

b) The general solution is found after separating variables and integrating each sides:

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

Where $\tau$ is the time constant and $k = \frac{1}{\tau}$

c) The time constant is:

$\tau = \frac{1690\,yr}{\ln 2}$

$\tau = 2438.155\,yr$

The particular solution of the differential equation is:

$m(t) = 10\cdot e^{-\frac{t}{2438.155} }$

d) The amount of radium after 300 years is:

$m(300) \approx 8.842\,g$

4 0

3 years ago

Read 2 more answers

The common ratio in a geometric series is 4 and the first term is 3.

kodGreya [7K]

Answer:

The sum of the first 8 terms in the series is 65535.

Step-by-step explanation:

We have,

The common ratio in a geometric series, r = 4

First term of GP is, a = 3

It is required to find the sum of the first 8 terms in the series. The sum of first n terms of a GP is given by :

$S_n=\dfrac{a(r^n-1)}{r-1}, r>1$

Here, n = 8

$S_8=\dfrac{3\times ((4)^8-1)}{4-1}\\\\S_8=65535$

So, the sum of the first 8 terms in the series is 65535.

3 0

3 years ago

A game costs x dollars. You have 60% of the total price saved. Write an expression that represents the amount of money you have

nadya68 [22]

Answer:

قیمت یک بازی x دلار است. شما 60٪ از کل قیمت پس انداز شده دارید. عبارتی بنویسید که نشان دهنده میزان پولی است که پس انداز کرده اید؟

60/x

6 0

3 years ago

The taxes on a house valued at $60,000 are $450.00. The tax ratio is 16%.

Stolb23 [73]

Answer: $562.5

Step-by-step explanation:

Given : The taxes on a house valued at $60,000 are $450.00.

i.e. Market value of house = $60,000

Tax amount paid on $60,000 market value house = $450.00

Tax rate = (Tax amount on ) ÷ (Market value of house)

⇒ Tax rate= 0.0075

Market value of another house = $75,000

Tax amount paid on $75,000 market value house = (Tax rate) x ( (Market value of house))

= (0.0075 )x ( $75,000) = $562.5

Hence, the taxes on the house next door with a market value of $75,000= $562.5

7 0

3 years ago