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3 years ago

The solution of d + s > -3 is d > -7. What is the value of s?

Mathematics

1 answer:

Oksanka [162]3 years ago

4 0

Answer:

The correct answer is that s > 4

Step-by-step explanation:

In order to find this, we can stick the -7 in for d and then solve the equation. This will leave us with a value for s.

d + s > -3

-7 + s > -3

s > 4

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IM STUCK WITH THIS, ITS BETWEEN 22 OR 12 CAN SOMONE CHECK? ILL MARK U BRAINIEST

Mkey [24]

Answer:

Step-by-step explanation:

it’s 12 because 4 x 3 = 12

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2 years ago

Read 2 more answers

Will mark brainliest if correct :)

Finger [1]

Answer:

d = 12

c = 4

so I think d > c

Step-by-step explanation:

1 x 12 = 12

0.75 x 4 = 3

12 + 3 = 15

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2 years ago

Water is leaking out of a large barrel at a rate proportional to the square rooot of the depth of the water at that time. If the

sdas [7]

Answer:

It will take about 35.49 hours for the water to leak out of the barrel.

Step-by-step explanation:

Let $y(t)$ be the depth of water in the barrel at time $t$ , where $y$ is measured in inches and $t$ in hours.

We know that water is leaking out of a large barrel at a rate proportional to the square root of the depth of the water at that time. We then have that

$\frac{dy}{dt}=-k\sqrt{y}$

where $k$ is a constant of proportionality.

Separation of variables is a common method for solving differential equations. To solve the above differential equation you must:

Multiply by $\frac{1}{\sqrt{y}}$

$\frac{1}{\sqrt{y}}\frac{dy}{dt}=-k$

Multiply by $dt$

$\frac{1}{\sqrt{y}}\cdot dy=-k\cdot dt$

Take integral

$\int \frac{1}{\sqrt{y}}\cdot dy=\int-k\cdot dt$

Integrate

$2\sqrt{y}=-kt+C$

Isolate $y$

$y(t)=(\frac{C}{2} -\frac{k}{2}t)^2$

We know that the water level starts at 36, this means $y(0)=36$ . We use this information to find the value of $C$ .

$36=(\frac{C}{2} -\frac{k}{2}(0))^2\\C=12$

$y(t)=(\frac{12}{2} -\frac{k}{2}t)^2\\\\y(t)=(6 -\frac{k}{2}t)^2$

At t = 1, y = 34

$34=(6 -\frac{k}{2}(1))^2\\k=12-2\sqrt{34}$

So our formula for the depth of water in the barrel is

$y(t)=(6 -\frac{12-2\sqrt{34}}{2}t)^2\\\\y(t)=\left(6-\left(6-\sqrt{34}\right)t\right)^2\\$

To find the time, $t$ , at which all the water leaks out of the barrel, we solve the equation

$\left(6-\left(6-\sqrt{34}\right)t\right)^2=0\\\\t=3\left(6+\sqrt{34}\right)\approx 35.49$

Thus, it will take about 35.49 hours for the water to leak out of the barrel.

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3 years ago

Evaluate the expression when a= -3 and C = 6 8c - a

Sav [38]

Answer:

Step-by-step explanation:

plug in

8(6)- (-3)

48-(-3)

8 0

3 years ago

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Calculate the width of a 80” TV if the TV has an aspect ratio of 21:9.

blagie [28]

Answer:

34.29 Inch.

Step-by-step explanation:

The Aspect Ratio of a screen is the ratio of the Width to the Height of the screen.

We are told that the TV screen has an aspect ratio of 21:9

Therefore:

$\dfrac{Width}{Height}=\dfrac{21}{9} \\$Since Width =80''\\\dfrac{80}{Height}=\dfrac{21}{9}\\$Cross multiply\\Height*21=80*9\\Height =(80*9) \div 21\\$Height =34.29$

The height of the TV will be approximately 34.29 Inch.

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3 years ago