All categories

3 years ago

Find the opposite of the integer −(−14).

Mathematics

1 answer:

Ilia_Sergeevich [38]3 years ago

8 0

Answer:

Step-by-step explanation:

You multiply the negatives and then you get the positive.

You might be interested in

V=u + at<br> u= 2<br> a= -5<br> t = 1/2<br> Work out the value of v.

FrozenT [24]

Answer:

V= -1/2

Step-by-step explanation:

You would have to add U+AT to get V

If A=-5 and T=1/2, then -5*1/2= -2.5 (A*T)

Then, adding U (which is 2), gives -.5, or -1/2

6 0

3 years ago

A. Find y in terms of x if

givi [52]

Answer:

A. $y(x) =\sqrt{ 2(\frac{x^5}{5} -\frac{6^5}{5})}$

B.Therefore the solution is defined on the interval:

6≤ x ≤ +∞

Step-by-step explanation:

Given differential equation is

$\frac{dy}{dx} = x^4y^{-1}$

$\Rightarrow \frac{dy}{dx} =\frac{ x^4}{y}$

$\Rightarrow y dy = x^4dx$

Integrating both sides:

$\Rightarrow\int y dy = \int x^4dx$

$\Rightarrow \frac{y^2}{2} =\frac{x^5}{5} +C$ ........(1)

Given y(0)= 6

it means y=0 when x=6

Putting x=6 and y=0 in the equation (1)

$\therefore \frac{0^2}{2} =\frac{6^5}{5} +C$

$\Rightarrow C=-\frac{6^5}{5}$

Equation (1) become:

$\Rightarrow \frac{y^2}{2} =(\frac{x^5}{5} -\frac{6^5}{5})$

$\Rightarrow y} =\sqrt{ 2(\frac{x^5}{5} -\frac{6^5}{5})}$

Therefore $y(x) =\sqrt{ 2(\frac{x^5}{5} -\frac{6^5}{5})}$

(B)

The quantity under root must greater than or equal to zero.

Therefore,

$2(\frac{x^5}{5} -\frac{6^5}{5})} \geq0$

$\Rightarrow \frac{x^5}{5} -\frac{6^5}{5}} \geq0$

$\Rightarrow \frac{x^5}{5} \geq\frac{6^5}{5}}$

$\Rightarrow x^5\geq {6^5$

$\Rightarrow \sqrt[5]{x^5} \geq \sqrt[5]{6^5}$

$\Rightarrow x\geq {6$

When x≥0 then the value of $2(\frac{x^5}{5} -\frac{6^5}{5})}$ is real other wise the value of $2(\frac{x^5}{5} -\frac{6^5}{5})}$ is imaginary.

Therefore the solution is defined on the interval:

6≤ x ≤ +∞

8 0

4 years ago

During the dry season, Village get its water from the reservoir. After six weeks there 16,800 gallons left in the reservoir. Aft

Lerok [7]

After 6 weeks........................16,800 gallons left
10 weeks.......................5,600 gallons
this means that in 4 weeks they used 16,800-5,600=11,200 gallons
11200/4=2,800/week
5600/2800=2
10+2=12
we have 12 weeks of dry season

6 0

3 years ago

Round to the nearest hundred thousand 111022

alina1380 [7]

111,022 rounds to 111,000

4 0

3 years ago

Savannah is 24 years older than Ryan, while Sebastian is 5 times as old as Ryan. If Savannah and Sebastian are twins, which equa

IRISSAK [1]

Answer: I think the answer would be b) 24+2x=5x

sry if it's wrong

3 0

4 years ago