An aquarium tank that measures 2.4 meters high, 6 meters long, and 1.5 meters wide is completely filled with water. The density of water is 1,000 kilograms per cubic meter. What is the mass of the water in the tank?

A:46 kilograms

B.101 kilograms

C.9,900 kilograms

D.21,600 kilograms

Answer:

49/144

Step-by-step explanation:

Answer:

49/144

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

i think that is the answer

9514 1404 393

Answer:

  y = -4x -2

Step-by-step explanation:

The slope is given by the formula ...

  m = (y2 -y1)/(x2 -x1)

  m = (-10 -10)/(2 -(-3)) = -20/5 = -4

__

The y-intercept is given by ...

  b = y1 -m(x1)

  b = 10 -(-4)(-3) = 10 -12 = -2

Then the slope-intercept equation is ...

  y = mx +b

  y = -4x -2

Answer:

can we see the options please

[tex]fog(x)=f(g(x)) \\ \\ \\ =2.(4-x^2)-1 \\ \\ \\ = -2x^2+7 \\ \\ \\ [/tex]

Answer:

$3,220

Step-by-step explanation:

Add

Answer:

[tex](a)\ 9 * 27[/tex]

[tex](b)\ 81 * 3[/tex]

[tex](d)\ 3*3*3*3*3[/tex]

Step-by-step explanation:

Given

[tex]3^5[/tex]

Required

Select equivalent expressions

[tex](a)\ 9 * 27[/tex]

Express as exponents

[tex]9 * 27 = 3^2 * 3^3[/tex]

Apply law of indices

[tex]9 * 27 = 3^{2+3[/tex]

[tex]9 * 27 = 3^{5[/tex]

[tex](b)\ 81 * 3[/tex]

Express as exponents

[tex]81 * 3 = 3^4 * 3[/tex]

Apply law of indices

[tex]81 * 3 = 3^{4+1[/tex]

[tex]81 * 3 = 3^5[/tex]

[tex](c)\ 3*5[/tex]

Solve

[tex]3*5 = 15[/tex]

[tex](d)\ 3*3*3*3*3[/tex]

From calculator, we have

[tex]3*3*3*3*3=243[/tex]

Express as exponents

[tex]3*3*3*3*3=3^5[/tex]

[tex](e) 9 * 9[/tex]

Express as exponents

[tex]9 * 9= 3^2 * 3^2[/tex]

Apply law of indices

[tex]9 * 9= 3^{2+2[/tex]

[tex]9 * 9= 3^4[/tex]

Hence, a, b and d are true

Answer:

Solution given:

l=8cm

b=8cm

h=3cm

now

total surface area=2(lb+bh+lh)

=2(8*8+8*3+8*3)=224cm²

224 cm² is a required volume.

Answer:

20 and 90

Step-by-step explanation:

Answer:

Area of table with leaf = 28.56 feet²

Area of table without leaf = 16 feet²

Step-by-step explanation:

Given:

Side of square table = 4 feet

Diameter of side leaf = 4 feet

Number of semicircle leaf = 2

Find:

Area of table without leaf

Area of table with leaf

Computation:

Area of square = Side x Side

Area of table without leaf = 4 x 4

Area of table without leaf = 16 feet²

Radius of side leaf = Diameter of side leaf / 2

Radius of side leaf = 4 / 2

Radius of side leaf = 2 feet

Area of table with leaf = Area of table without leaf + 2[πr²/2]

Area of table with leaf = 16+ 2[πr²/2]

Area of table with leaf = 16+ (3.14)(2)²

Area of table with leaf = 16+ (3.14)(4)

Area of table with leaf = 16+ 12.56

Area of table with leaf = 28.56 feet²

Answer:

let the two no. be x and y.

their sum

x+y=-11

x=-11-y.....[I]

and difference

x-y=41

x=41+y......[ii]

equating equation I and ii

we get

-11-y=41+y

-11-41=y+y

-52=2y

y=-52/2

y=-26

now

substituting value of y in equation I.

we get

x=-11-(-26)=-11+26=15

The two no. is 15 and -26.

Answer:

[tex]\cos{W} = \frac{9}{41}[/tex]

Step-by-step explanation:

Cosine of an angle:

The cosine of an angle, in a right triangle, is the length of the side adjacent to this angle divided by the hypotenuse.

Length of the largest side:

The length of the largest side is 41, that is, the hypotenuse is 41. The hypotenuse is XW.

WY = 9.

This means that the length of the adjacent side to angle W is 9.

What ratio represents the cosine of ∠W?

Adjacent side has length 9, hypotenuse has length 41. So

[tex]\cos{W} = \frac{9}{41}[/tex]

390625

^if that’s what you meant in the picture cause your question was confusing

Answer:

Step-by-step explanation:

Maximum  is at (1.5,14).

Minimum is at (4, 0).

y-intercept is at  (0, 9)

x intercept is at ( 4, 0).

increasing from x = 0 to x = 1.5 and x = 0 to 6.

decreasing from  x = 1.5 to x = 0

Answer:

7n

Step-by-step explanation:

Let :

The number of hours of practice per day = n

The number of practice hours in 7 days can be calculated thus :

Number of hours of practice per day * number of days

(n * 7) = 7n

Answer:

53.4 cm^2

Step-by-step explanation:

rhombus's have the same formula as a square (B*H)

8.9*6 = 53.4 cm^2

Answer:

Step-by-step explanation:

We will use the idea here that the first 2 pipes can get 1/4 of the job done in an hour, and that the third pipe can get 1/3 of the job done in an hour. We need to know then the number of hours it will take to fill the tank if all 3 work together. The equation looks like this:

[tex]\frac{1}{4}+ \frac{1}{4}+ \frac{1}{3}= \frac{1}{x}[/tex] Now we find a common denominator and solve for x. The common denominator is 12x. Multiplying everything by 12 x gives us

3x + 3x + 4x = 12 and

10x = 12 so

x = 1.2 hours

Answer:

1.2 hours

Step-by-step explanation:

we need to see how much each pipes does in the same amount of time

The least common multiple of 3 hours and 4 hours is 12 hours

In 12 hours:

Pipe 1 at 4 hours to fill a tank fills 3 tanks

Pipe 2 at 4 hours to fill a tank fills 3 tanks

Pipe 3 at 3 hours to fill a tank fills 4 tanks

All three pipes can fill 10 tanks in 12 hours

12 hours/10 tanks = 1.2 hours to fill one tank

-------------------------

Doing just the math

1/4 + 1/4 + 1/3 = x

3/12 + 3/12 + 4/12 = 10tanks/12 hours

12hours/10tanks = 1.2 hours

:1

i didnt understand the question because of my English sorry

:2

we all know that the total of degrees is 180 so 70+70=140

180-140=40

so the answer is 40

3:

we have a figure with 4 angle so the total of degrees is 360 so the answer is 126

4:

the answer most be 50 becuse we have a Special degree witch always equal 90 if we have recatngle so

x+40=90

X=50 the answer and if you want to try again choose the second one

2x-10=90

2x=100

X=50 same answe you see

5:

in this quastion i searched and find alot of answers any way

its should be 7 or 3 but the correct answer in my opinion its 7

its shows in the picture i sent hopefully its helpful to you i will try to translate the first quastion and sent it to you

Answer:

Step-by-step explanation:

Answer:

210

Step-by-step explanation:

(52-10)

42÷5

8.4×25=210

Answer:

BEODMASS

( 52 - 10 ) ÷ 5 × 23

42÷5 ×23

8.4 x 23

193.2

Answer:

8

Step-by-step explanation:

range=highest number - lowest number

=8 - 0

=8

============================================================

Explanation:

Let's expand this out up to say n = 6 terms

I'll write the summation in such a way that each (1/(k+1) - 1/k) grouping will get its own row. Each row has the same value of k.

If we plug in k = 1 through k = 6, but not evaluate just yet, we will have this:

1/(1+1) - 1/1

1/(2+1) - 1/2

1/(3+1) - 1/3

1/(4+1) - 1/4

1/(5+1) - 1/5

1/(6+1) - 1/6

All I've done so far is replace k with 1 through 6. Again, each row represents a different k value. Each row has the general format 1/(k+1)-1/k.

Let's simplify everything in the first column.

So the (1+1) turns into 2, the (2+1) turns into 3, and so on.

Doing that leads to...

1/2 - 1/1

1/3 - 1/2

1/4 - 1/3

1/5 - 1/4

1/6 - 1/5

1/7 - 1/6

Then note how we have the cancellations shown in the diagram below. The color coding shows how the terms pair up to cancel out. By "cancel out", I mean specifically that the fractions add up to 0. Eg: 1/2 + (-1/2) = 0.

Nearly everything cancels out. The only things left after the dust settles is the -1/1 in the first row and the 1/7 in the bottom row. This evaluates to 1/7-1/1 = 1/7 - 7/7 = (1-7)/1 = -6/7

If you were to try this with n = 7, then you should find that again nearly everything cancels but the fractions -1/1 and 1/8. Then 1/8 - 1/1 = -7/8.

For n = 8, you should end up with 1/9 - 1/1 = -8/9.

You can probably see the pattern.

A conjecture is that the answer is -n/(n+1). The general proof of this isn't too tricky. Simply follow the same ideas as mentioned above. Expand out a few terms and see how things cancel out. You'll find that everything cancels except for the -1/1 in the first row and the 1/(n+1) just one term before the very end. Then we can say:

1/(n+1) - 1/1

1/(n+1) - (n+1)/(n+1)

(1-(n+1))/(n+1)

(1-n-1)/(n+1)

-n/(n+1)

If we tried n = 6, then we find,

-n/(n+1) = -6/(6+1) = -6/7

which was the result we found earlier when we added the first n = 6 terms of this series. Trying out n = 7 should lead to -n/(n+1) = -7/8, and so on.

Answer:

240 mi^3

Step-by-step explanation:

Base area = length x width = 10 x 8 = 80 mi^2

V = (base area x height)/3 = (80 x 9)/3 = 240 mi^3

Answer:

138 is closest to the  Lateral surface which is 113.097

Step-by-step explanation:

Answer:

Step-by-step explanation:

This is a composite function, in which we will first evaluate the s function at a value of 2, then we will use that value in the t function.

s(2) = 5(2)+ 5 so

s(2) = 15. Now we evaluate the t function at 15:

t(15) = 3(15) + 4 so

t(15) = 49

Answer:

57m2

Step-by-step explanation:

Answer:

could you please also post what the choosing options are and then ill edit this and do it again

Step-by-step explanation:

Answer:

the area is 207

Step-by-step explanation:

The equation to solve the area of a cylinder is A=2πrh+2πr^2

The radius is the length from the outside to the center, 6 is the diameter so we could half that to get the radius, 3 and height is 8

A=2*3.14*3*8+2*3.14*3^2

A=6.28*3*8+6.28*9

A=18.84*8+56.52

A=150.72+56.52

A=207.24

207.24 rounded to the nearest whole number is 207 so your area is 207

Answer:

y = 4x - 3

Step-by-step explanation:

Find two point of the line

(0,-3) ; (1,1)

Use this formula

(y - y1)/(y2-y1) = (x-x1)/(x2-x1)

(y-(-3)/(1-(-3) = (x-0)/(1-0)

(y+3)/4 = x

y+3 = 4x

y = 4x -3

Answer:

y = 4x -3

Step-by-step explanation:

The y intercept is (0,-3)

Using another point on the line (1,1), we can find the slope

m = (y2-y1)/(x2-x1)

m = (1 - -3)/(1-0)

   = (1+3)/(1-0)

   = 4/1

The equation for a line in slope intercept for is

y = mx+b where m is the slope and b is the y intercept

y = 4x -3