las dimensiones de un depósito de agua son 10m×7m×5m.dibuja y calcula cuantos litros de agua contendrá el depósito cuando este completamente lleno.

Answer:

84

Step-by-step explanation:

Answer:

84 yd2

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

I just guesses

The amount of fewer euros he would receive as a result of the delay is 20 E.

The percentage loss that was caused by the delay is -4%.

Exchange rate is the rate at which one unit of a currency can buy another currency. In this question, the value of Euros appreciated by Monday. This is because $1 buys less Euros on Mondays. On the hand, dollars depreciates in value.

Amount of fewer Euros received = value of euros if it were exchanged on Friday - value of euros if it was exchanged on Monday

Value of euros if it were exchanged on Friday = 1.25 x 400 = 500 E

Value of euros if it was exchanged on Monday = 1.20 x 400 = 480 E

Difference = 500 E - 480 E = 20 E

Percentage loss = (Euros received on Monday / Euros that would have been received on Friday) - 1

Percentage loss = (480 / 500) - 1 = -0.04 = -4%

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Answer:

(0, 1/3)

Step-by-step explanation:

To find the centroid of a triangle with vertices A, B, and C, we can use the following formula:

centroid = (x1 + x2 + x3) / 3, (y1 + y2 + y3) / 3

where (x1, y1), (x2, y2), and (x3, y3) are the coordinates of the vertices A, B, and C, respectively.

In this case, we have A = (-3, 1), B = (-2, 4), and C = (5, -2), so the centroid of the triangle is:

centroid = ((-3) + (-2) + 5) / 3, (1 + 4 + (-2)) / 3 = (0, 1/3)

Therefore, the coordinates of the centroid of ABC are (0, 1/3).

Answer:

\( -m + 6 = 3m + 14 \)

Step-by-step explanation:

Given:

\( -(m - 6) = 3m + 14 \)

Required:

Multiply (m - 6) by -1.

Solution:

To multiply (m - 6) by -1, we would be applying the distributive property. This means that we would multiply each term in the parentheses by -1.

Thus:

\( -1(m) -1(-6) = 3m + 14 \)

The result would be:

\( -m + 6 = 3m + 14 \) (negative times negative = positive)

The sketch for slope is attached below.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

Point               Slopes

(1, 1)                     (a) 3

_                        (b) -3

_                        (c) -5/2

_                         (d) Undefined

a) Now, using slope intercept form

y - 1= 3 (x-1)

y- 1= 3x- 3

y= 3x - 2

(b) Equation of a line has a slope -3 is given by

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

y-1 = 3- 3x

y = -3x + 4

(c) Equation of a line has a slope -5/2 is given by

y - 1= (-5/2) (x-1)

y-1 = -5/2x + 5/2

y= -5/2x + 7/2

(d) The line parallel to y axis and passes through given point : x=1

"undefined" means the line is vertical.

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The angles COA and POC are 22.5 and 67.5 degrees respectively as POA is a right angled triangle.

POA is a right angle so it is 90 degrees.

POC +COA = 90  .....(1)

Also, POC is 3 times as large as COA.

Let's take COA, "x"

POC = 3x

Substituting the values in equation (1) as follows:

x + 3x = 90

4x = 90

x= 22.5

Therefore,

COA = 22.5°

POC = 22.5*3 = 67.5°

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Answer:

the ratio:     6:1

Step-by-step explanation:

to make it as a ratio :

We will make 4 years as months

So 4x12 =48

then the ratio: 48:8

                        6:1

hope this helps

Answer:

9.4 secs

Step-by-step explanation:

From Newton's law of cooling;

T(t) = Ts + Do e^-kt

Where;

D0= initial temperature difference

Ts= Temperature of the surroundings

t= time

K = positive constant

Do = 185 - 60 = 125 degrees

167 = 60 + 125 e^-3k

167 - 60 = 125 e^-3k

107/125 = e^-3k

ln(e^-3k) = ln(107/125)

-3k = -0.1555

k = 0.1555/3

k = 0.0518

Substituting the value of k to find the time taken to reach 137 degrees

T(t) = Ts + Do e^-kt

137 = 60 + 125 e^-(0.0518t)

137 - 60 = 125 e^-(0.0518t)

77 = 125 e^-(0.0518t)

e^-(0.0518t)= 77/125

ln [e^-(0.0518t)] = ln(77/125)

-0.0518t = -0.4845

t = 0.4845/0.0518

t = 9.4 secs

Answer:

60 years old

Step-by-step explanation:

A=Ashu's age. M=Ashu's Mother's Age

M=A*3

M/3 = (A*3)/3  ==> divide 3 on each side to solve for A

A = M/3

A+5 = M/3 + 5  ==> A+5=25 since that'll be Ashu's age 5 years from now

25 = M/3 + 5  => plug in 25 for A+5

25-5 = M/3 + 5 - 5 ==> solve for M

20 = M/3

M = 20 * 3

M = 60 years old

The vertices of the feasible region is (4, 3)

From the question, we have the following parameters that can be used in our computation:

x + y ≤ 7

x - 2y ≤ -2

x ≥ 0

y ≥ 0

Express as equations

So, we have

x + y = 7

x - 2y = -2

Subtract the equations

3y = 9

So, we have

y = 3

Next, we have

x + 3 = 7

This gives

x = 4

Hence, the vertex of the feasible region is (4, 3)

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The number of people were 200 in the theater when it was full.

What is a theater?

In architecture, a theatre, usually spelled theatre, is a structure or area where a play can be conducted in front of spectators. The term comes from the Greek theatron, which means "a place of seeing." The actual performance usually takes place on a stage in a theatre.

Given that, the theater was full when the movie began.

76 people leave the theater before end the movie. At the end of the movie, there is 124 people left.

Apply algebraical operation that is addition to find the required answer.

Therefore, the number of people that was present at the beginning of the movie is (76 + 124) = 200.

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The experimental probability that an arrangement will contain at least one yellow balloon is 0.767. Then the correct option is C.

Given that:

Each balloon arrangement in Ethan's class has four balloons in it. The likelihood of each balloon being red, blue, or yellow is equal. To represent this possibility, Ethan made a spinner.

ybrr, bybb, rbbb, rrry, rbbb, rryy, yybb, ryry, ryyr, rbyr, ryyr, rryy, rrrr, yrby, bbyy, byyr, byyr, byyb, rbby, ybry, rryy, rbrr, rybb, bbbr, rrbr, ybry, ryrr, rryb, rrrb, rryr

The experimental probability that an arrangement will contain at least one yellow balloon is calculated as,

P = 23 / 30

P = 0.767

Thus, the correct option is C.

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1st row

1. 2x + x + x, x = 0

Plug in 0 as x.

0 + 0 + 0 = 0

2. 2x + x + x, x = 1

Plug in 1 as x.

2 + 1 + 1 = 4

3. 2x + x + x, x = 2

Plug in 2 as x.

4 + 2 + 2 = 8

2nd row

1. 4x, x = 0

Plug in 0 as x.

4 * 0 = 0

2. 4x, x = 1

Plug in 1 as x.

4 * 1 = 4

3. 4x, x = 2

4 * 2 = 8

Notice how the answers are the same.

This is because 2x + x + x = 4x, meaning they are the same equation.

Answer:

Attached in file

Step-by-step explanation:

What does this mean by substitution?

The act of substituting in algebra / pre-algebra / etc is plugging in a number for 'x'

In this question, they are wanting you to plug in 0, 1, and 2 to two different equations (2x+x+x and 4x) to see if they are the same equations.

(I'm going to try and make a graph, as visual learning helps)

     | 2x+x+x       4x

x=0|      a             b

x=1 |       c             d

x=2|        e           f

Now I know that this is not perfect, but I inputted letters so that you know what I am solving for.

Solve for a:

Plug in x=0

2(0) + 0 + 0

2*0 = 0

0 + 0 + 0 = 0

So, a = 0 (What I am saying is the first blank is a, the blank next to it is b, etc)

Solve for b:

Plug in x=0

4(0) = 0

So, b = 0

Solve for c:

Plug in x=1

2(1) + 1 + 1

2 + 1 + 1

= 2  + 2

=4

b = 4

Solve for d:

Plug in x=1

4(1) = 4

d=4

Solve for e:

Plug in x=2

2(2) + 2 + 2

4 + 2 + 2

4 + 4

=8

e=8

Solve for f:

Plug in x=2

4(2)

f=8

There we go! I annotated this picture to have these values plugged into their respective spots!!

Hope this helped!!

Answer:

Step-by-step explanation:

1.5 rounded to the nearest tenths

Answer:

Step-by-step explanation:

9. sin 18 = x/21

 x = 21* sin 18

  x = 6.5

10. tan 55 = 29/x

  x* tan 55 = 29

x = 29/tan 55

x = 20.3

11. sin 23 = x/25

  x = 25 * sin 23

  x = 9.8

12. sin 47 = 33/x

  x * sin 47 = 33

 x = 33/sin 47

  x = 45.1

The length AC in the kite is 8.7 cm.

A kite is a quadrilateral that has two pairs of consecutive equal sides and

perpendicular diagonals. Therefore, let's find the length AC in the kite.

Hence, using Pythagoras's theorem, let's find CE.

Therefore,

7² - 4² = CE²

CE = √49 - 16

CE = √33

CE = √33

Let's find AE as follows:

5²- 4² = AE²

AE = √25 - 16

AE = √9

AE = 3 units

Therefore,

AC = √33 + 3

AC = 5.74456264654 + 3

AC = 8.74456264654

AC = 8.7 units

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Answer:

B. 9+b

Step-by-step explanation:

if b represents the number of buttons more than 9, then you just have to add 9 to that and you get your equation.

This explanation made better sense in my head...

Answer:

\(m = \frac{y2 - y1}{x2 - x1} \\ \frac{8 - 4}{6 - 2} \\ = \frac{4}{4} \\ m = 1\)

Answer:

if you mean find the coordinates "of" the midpoint then the solution is

Step-by-step explanation:

(x1+x2)/2 and (y1+y2)/2

so

(2+6)/2=8/2=4 and (4+8)/2=12/2=6

so the coordinates of the midpoint of the given segment is

(4,6)

The nearest tenth, 44.5 minutes have gοne by.

Time is the οngοing prοgressiοn οf existence and events that take place in what appears tο be an irreversible οrder frοm the past thrοugh the present tο the future. It is οne οf the quantities that make up variοus measurements that are used tο cοmpare the lengths οf events οr the gaps between them, tο cοmpare hοw lοng they last, tο οrder events, and tο measure hοw quickly certain quantities in the physical wοrld οr in cοnsciοus experience change. The fοurth dimensiοn, in additiοn tο the three spatial dimensiοns, is frequently referred tο as time.

If Teresa has finished 57% οf her run, then she has 43% left tο cοmplete.

Let x be the number οf minutes that have gοne by.

Since 57% οf the run is cοmpleted in 78 minutes, we can set up the fοllοwing prοpοrtiοn:

57/100 = x/78

Sοlving fοr x, we get:

x = (57/100) * 78

x = 44.46

Therefοre, tο the nearest tenth, 44.5 minutes have gοne by.

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Answer:

False. The center of a semisimple Lie algebra is usually not trivial.

Step-by-step explanation:

The center of a semisimple Lie algebra is the set of elements of the Lie algebra that commute with all other elements in the algebra. In most cases, the center of a semisimple Lie algebra is not trivial, meaning it contains at least one non-zero element. For example, the center of the simple Lie algebra sl(2,C) contains the two-dimensional Lie algebra spanned by the scalar matrices I and -I. The center of the Lie algebra so(5,C) is spanned by the five-dimensional Lie algebra spanned by the matrices diag(1,1,1,-1,-1). These examples demonstrate that the center of a semisimple Lie algebra is usually not trivial.

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Answer:

Therefore, you need 2600 pounds of 35% supplement and 1300 - 2600 = -1300 pounds of 10% ration.

Step-by-step explanation:

The unknown variable is x, which is the amount of 35% supplement needed. The other expressions are derived from the given information and the fact that the total amount of solution is 1300 pounds.

The equation from the fourth column is:

0.35x + 0.10(1300 - x) = 0.25(1300)

Solving for x, we get:

x = (0.25(1300) - 0.10(1300)) / (0.35 - 0.10) x = 650 / 0.25 x = 2600

Answer:

0.43

Step-by-step explanation:

x = sin^-1(0.4)

x = 23.57

tan(23.57) = 0.436

The 95% confidence interval for the true average dollar loss in burglaries rounded to the nearest dollar amount is given as follows:

($629, $727).

The bounds of the confidence interval are given as follows:

\(\overline{x} \pm z\frac{\sigma}{\sqrt{n}}\)

In which:

The confidence level is of 95%, hence the critical value z is the value of Z that has a p-value of \(\frac{1+0.95}{2} = 0.975\), so the critical value is z = 1.96.

The parameters for this problem are of:

\(\overline{x} = 678, \sigma = 560, n = 500\)

Hence the lower bound of the interval is of:

\(678 - 1.96\frac{560}{\sqrt{500}} = 629\)

The upper bound of the interval is of:

\(678 + 1.96\frac{560}{\sqrt{500}} = 727\)

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Answer:

32.5861

Step-by-step explanation:

I interpreted it this way:

20 - stop at n = 20 (inclusive)

1 - start at n = 1

4(8/9)^(n - 1) - geometric expression

Answer:

x=6

Step-by-step explanation:

Answer: x=6

Step-by-step explanation: 5•6+3=33

Good luck! :)

a. In interval notation, Increasing intervals: (12pm, 1pm) U (1pm, 2pm) U (2pm, 3pm). Decreasing intervals: (8am, 9am) U (11am, 12pm). Constant intervals: (9am, 10am) U (10am, 11am)

b. The increase in cost between 12 noon and 3 pm is $2.

c. Yellow Cab has a lower price per 1km than Swift ride at (8am, 9am) (9am, 10am) (2pm 3pm)

Interval notation is used to represent continuous intervals of numbers or values, like ranges on a number line.

The graph shows that from 8-9am, and 11-12pm, the cost from Swift Ride decreases.

We can represent it as (8am, 9am) U (11am, 12pm).

It increases at these times (12pm, 1pm) U (1pm, 2pm) U (2pm, 3pm).

And stays constant at : (9am, 10am) U (10am, 11am)

We simply deduct the 12pm's cost from 3pm's cost.

So, we have

Cost increase = $3.5 - $1.5

Evaluate the difference

Cost increase = $2

Hence, the cost increase is $2

When you plot the points provided for Yellow cab, you'll notice that Yellow Cab has a lower price per 1km than Swift ride at (8am, 9am) (9am, 10am) (2pm 3pm)

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