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Marina CMI [18]
3 years ago
10

Leila's fish tank has 17 liters of water in it.she plans to add 4 liters per minute until the tank has atleast 45 liters .What a

re the possible numbers of minutes leila could add water ?
Mathematics
2 answers:
jeyben [28]3 years ago
7 0

Answer:

11.25 minutes possibly

Step-by-step explanation:

1.forget the 17 liters for now

2. divide 45 & 4

3. you should get 11.25


bogdanovich [222]3 years ago
6 0
45 divided by 4 = 11.25 so it takes possibly 11.25 mins to full up the tank
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melomori [17]

The values of x, y, and z are 1, 2, and 3 respectively after using the substitution method.

<h3>What is a linear equation?</h3>

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have a linear equation in three variable:

2x + 3y - z = 5 ...(1)

4x - y - z = -1 ...(2)

x + 4y + z = 12 ...(3)

\rm \mathrm{Substitute\:}x=\dfrac{5-3y+z}{2}   (from the equation 1 and 2)

After solving:

\rm \begin{bmatrix}-7y+z+10=-1\\ \dfrac{5y+3z+5}{2}=12\end{bmatrix}

From the above, two equations:
y =2

z =3

Plug the above values in equation 1

x = 1

Thus, the values of x, y, and z are 1, 2, and 3 respectively after using the substitution method.

Learn more about the linear equation here:

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5 0
2 years ago
1. _____ any push or pull on an object
borishaifa [10]
1. Force any push or pull on an object.             2. Displacement is an object changing position over time.
5 0
3 years ago
What is the standard form of 5.58 x 10^-2
alukav5142 [94]

Answer:

0.0558

Step-by-step explanation:

3 0
3 years ago
Find the surface area of the solid generated by revolving the region bounded by the graphs of y = x2, y = 0, x = 0, and x = 2 ab
Nikitich [7]

Answer:

See explanation

Step-by-step explanation:

The surface area of the solid generated by revolving the region bounded by the graphs can be calculated using formula

SA=2\pi \int\limits^a_b f(x)\sqrt{1+f'^2(x)} \, dx

If f(x)=x^2, then

f'(x)=2x

and

b=0\\ \\a=2

Therefore,

SA=2\pi \int\limits^2_0 x^2\sqrt{1+(2x)^2} \, dx=2\pi \int\limits^2_0 x^2\sqrt{1+4x^2} \, dx

Apply substitution

x=\dfrac{1}{2}\tan u\\ \\dx=\dfrac{1}{2}\cdot \dfrac{1}{\cos ^2 u}du

Then

SA=2\pi \int\limits^2_0 x^2\sqrt{1+4x^2} \, dx=2\pi \int\limits^{\arctan(4)}_0 \dfrac{1}{4}\tan^2u\sqrt{1+\tan^2u} \, \dfrac{1}{2}\dfrac{1}{\cos^2u}du=\\ \\=\dfrac{\pi}{4}\int\limits^{\arctan(4)}_0 \tan^2u\sec^3udu=\dfrac{\pi}{4}\int\limits^{\arctan(4)}_0(\sec^3u+\sec^5u)du

Now

\int\limits^{\arctan(4)}_0 \sec^3udu=2\sqrt{17}+\dfrac{1}{2}\ln (4+\sqrt{17})\\ \\ \int\limits^{\arctan(4)}_0 \sec^5udu=\dfrac{1}{8}(-(2\sqrt{17}+\dfrac{1}{2}\ln(4+\sqrt{17})))+17\sqrt{17}+\dfrac{3}{4}(2\sqrt{17}+\dfrac{1}{2}\ln (4+\sqrt{17}))

Hence,

SA=\pi \dfrac{-\ln(4+\sqrt{17})+132\sqrt{17}}{32}

3 0
3 years ago
What is the value of x?
tensa zangetsu [6.8K]

Answer:

X = 5°

Step-by-step explanation:

180° on a straight line.

180 - 100 = 80 angle ABC = 80°

angle ACB is vertically opposite to the 60° given

ACB = 60°

180 - 80 - 60 = 7x+5

40 = 7x + 5

7x = 35

X = 5

6 0
3 years ago
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