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Yuliya22 [10]
3 years ago
10

Slove the equation ×+20=29

Mathematics
1 answer:
photoshop1234 [79]3 years ago
8 0

Answer: x = 9

Step-by-step explanation:

x + 20 = 29

x  = 9

9 + 20 = 29

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TRUE OR FALSE: FOR ANY FUNCTION, X=F^-1(Y), THEN Y=F(X). PLEASE EXPLAIN
Vesnalui [34]

Answer:

True.

Step-by-step explanation:

For example let f(x) = 3x + 1  then f-1(x)  is found as follows

Let f(x) = y = 3x + 1 then

3x = y - 1

x = (y-1) / 3

x = f-1(x) = (x - 1)/3.

So:

Replacing the x  in y by (x - 1)/3 :-

x = f(-1)(y) = ( (3x + 1) - 1) / 3

= 3x / 3

= x.

So y = f(x).

7 0
3 years ago
The Kuroshio Sea tank is 27m long, 35m wide and 10m deep. What is the volume of the tank? Show your
umka21 [38]

The volume of Kuroshio Sea rank is 9450 cubic meters, if the sea tank is  27m long, 35m wide and 10m deep.

Step-by-step explanation:

The given is,

                 Kuroshio Sea tank is 27m long, 35m wide and 10m deep.

Step:1

                Sea tank looks like a rectangular prism,

                 Formula to calculate the volume of rectangular prism,

                                   Volume, V =whl.............................(1)

                Where, w - Width of the rectangular prism

                              h - Height or depth of the rectangular prism

                               l - Length of the rectangular prism

              From given,

                       w = 35 meters

                         l = 27 meters

                        h = 10 meters

             Equation (1) becomes,

                                              V = (35)(10)(27)

                                                  = (945)(10)

                                                 =9450

      Volume of the sea tank, V = 9450 Cubic meters

Result:

         The volume of Kuroshio Sea rank is 9450 cubic meters, if the sea tank is  27m long, 35m wide and 10m deep.

           

3 0
3 years ago
Find the average value of f over region
SVETLANKA909090 [29]
D is a right triangle with base length 1 and height 8, so the area of D is \dfrac12(1)(8)=4.

The average value of f(x,y) over D is given by the ratio

\dfrac{\displaystyle\iint_Df(x,y)\,\mathrm dA}{\displaystyle\iint_D\mathrm dA}

The denominator is just the area of D, which we already know. The average value is then simplified to

\displaystyle\frac74\iint_Dxy\,\mathrm dA

In the x,y-plane, we can describe the region D as all points (x,y) that lie between the lines y=0 and y=8x (the lines which coincide with the triangle's base and hypotenuse, respectively), taking 0\le x\le1. So, the integral is given by, and evaluates to,

\displaystyle\frac74\int_{x=0}^{x=1}\int_{y=0}^{y=8x}xy\,\mathrm dy\,\mathrm dx=\frac78\int_{x=0}^{x=1}xy^2\bigg|_{y=0}^{y=8x}\,\mathrm dx
=\displaystyle56\int_{x=0}^{x=1}x^3\,\mathrm dx
=14x^4\bigg|_{x=0}^{x=1}
=14
3 0
3 years ago
In year 13, the scientist will put tree wrap around tree 1 to protect it from the winter snow. The height of the tree wrap needs
Dominik [7]

Answer:

22 feet²

Step-by-step explanation:

We are given:

height of tree h = 45 inches

Circumference= πd × inches

But d = 22.2inches

Therefore area will be

Area = 22.2π × 45 inches²

Area = 3137 inches²

Let's convert from inches² to feet², we have:

1 foot = 12 inches.

Therefore,

1 square foot = 1foot × 1foot = 12inches×12inches

= 3137inches² / 144 inches²

= 22feet²

Note: I attached missing data which states that diameter at year 13 is 22.2inches

6 0
2 years ago
Read 2 more answers
Find the value of x in the isosceles triangle shown below​
levacccp [35]

Answer:

x=10

Step-by-step explanation:

\frac{x}{2}=\sqrt{13^2-12^2}  \\x=2\sqrt{169-144} \\x=2\sqrt{25} \\x=2 \times 5=10

4 0
3 years ago
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