Which of the following is an arithmetic sequence?

Answer:

Con el conducto A abierto, el estanque se llenará en 32.5 horas.

Step-by-step explanation:

Deje que el volumen de agua presente en el estanque sea x litros

La tasa conjunta sería x / 20 litros por hora.

Para el conducto A, no sabemos la hora, llamemos a esto y así que la tasa aquí será x / y

Para el conducto B tomará 52 horas y su tasa es x / 52

Matemáticamente, cuando sumamos ambas tasas juntas, obtendremos la tasa conjunta; Así; x / y + x / 52 = x / 20

Saca x en ambos lados 1 / y+ 1/52 = 1/20

(52 + y) / 52y = 1/20

20 (52 + y) = 52y

1040 + 20y= 52y

1040 = 52y -20y

32y = 1040 y = 1040/32

y = 32.5 horas

Con el conducto A abierto, el estanque se llenará en 32.5 horas.

[tex]\bold{\text{Answer:}\quad x=\dfrac{1}{2},\quad y=1,\quad z=\dfrac{1}{3}}[/tex]

Step-by-step explanation:

[tex]\text{Equation 1:}\quad \dfrac{x}{x+y}=\dfrac{1}{3y}\\\\\\.\qquad \qquad \qquad 3xy=x+y\\\\.\qquad \qquad \qquad 3xy-y=x\\\\.\qquad \qquad \qquad y(3x-1)=x\\\\.\qquad \qquad \qquad y=\dfrac{x}{3x-1}[/tex]

[tex]\text{Equation 2:}\quad \dfrac{y}{y+z}=\dfrac{1}{4z}\\\\\\.\qquad \qquad \qquad 4yz=y+z\\\\.\qquad \qquad \qquad 4yz-y=z\\\\.\qquad \qquad \qquad y(4z-1)=z\\\\.\qquad \qquad \qquad y=\dfrac{z}{4z-1}[/tex]

[tex]\text{Equation 3:}\quad \dfrac{z}{z+x}=\dfrac{1}{5x}\\\\\\.\qquad \qquad \qquad 5xz=z+x\\\\.\qquad \qquad \qquad 5xz-z=x\\\\.\qquad \qquad \qquad z(5x-1)=x\\\\.\qquad \qquad \qquad z=\dfrac{x}{5x-1}[/tex]

Set Equation 1 equal to Equation 2 and substitute z per Equation 3

[tex]\dfrac{x}{3x-1}=\dfrac{z}{4z-1}\\\\\\x(4z-1)=z(3x-1)\\\\4xz-x=3xz-z\\\\4x\bigg(\dfrac{x}{5x-1}\bigg)-x=3x\bigg(\dfrac{x}{5x-1}\bigg)-\dfrac{x}{5x-1}\\\\\\4x^2-x(5x-1)=3x^2-x\\\\4x^2-5x^2+x=3x^2-x\\\\0=4x^2-2x\\\\0=2x(2x-1)\\\\0=2x\qquad\qquad 0=2x-1\\\\x=0\qquad \qquad x=\dfrac{1}{2}[/tex]

Solve for y when x = 0:

[tex]\text{Equation 1:}\quad y=\dfrac{0}{3(0)-1}\quad \rightarrow \quad y=0[/tex]

Notice that x + y is in the denominator and denominator cannot equal zero so x = 0 is an invalid solution.

[tex]\text{Solve for y when}\ x=\dfrac{1}{2}:\\\\\text{Equation 1:}\quad y=\dfrac{\frac{1}{2}}{3(\frac{1}{2})-1}\quad \rightarrow \quad y=1[/tex]

[tex]\text{Solve for z when x = \dfrac{1}{2}}:\\\text{Equation 3:}\quad z=\dfrac{\frac{1}{2}}{5(\frac{1}{2})-1}\quad \rightarrow \quad z=\dfrac{1}{3}[/tex] [tex]\text{Solve for z when}\ x=\dfrac{1}{2}:\\\\\text{Equation 3:}\quad z=\dfrac{\frac{1}{2}}{5(\frac{1}{2})-1}\quad \rightarrow \quad z=\dfrac{1}{3}[/tex]

Answer: C. [tex]\sqrt{9} * \sqrt{4}[/tex]

Step-by-step explanation:

There is a square root rule that states [tex]\sqrt{x*y} = \sqrt{x} * \sqrt{y} \\[/tex]

We can apply this rule to this problem.

Given [tex]\sqrt{9*4}[/tex]

We can use the rule to make it equal to [tex]\sqrt{9} * \sqrt{4}[/tex]

This is answer choice C.

Answer: c

Step-by-step explanation: 9*4=36          36* 36 = 1296

9 * 9 = 81      4 * 4 = 16       81 * 16 =  1296    hope this helps

Answer:

Domain > 0,  Range C(x) > 2

Step-by-step explanation:

x is the distance, distance is always large than 0 => x > 0

=> Domain x > 0

Multiply both sides by 0.75

=> 0.75x > 0

Add both sides by 2

=> 0.75x + 2 > 0 + 2

=> 0.75x + 2 > 2

=> Range C(x) = 0.75x + 2 > 2

Answer:

C= 3g

Step-by-step explanation:

Answer:

Amount of solution = 15 liter

Step-by-step explanation:

Given:

One third of solution is acid

Amount of acid = 5 Liter

Find:

Amount of solution

Computation:

Amount of solution = Amount of acid (1 / One third of solution is acid)

Amount of solution = Amount of acid (3)

Amount of solution = (5)(3)

Amount of solution = 15 liter

Answer:

0.578

Step-by-step explanation:

If you pick three burritos at random, find the probability of the given event. (Round your answer to three decimal places.)

Given that there are 14 orders at the ratio by of:

6 with hot peppers

8 without hot peppers

At most two have hot peppers.

Binomial Problem with n = 3 ; p(hot) = 6/8

P(0<= x <=2) = 1 - P(x = 3)

= 1 - (6/8)^3

= 1 - ( 3/4 )^3

= 1 - ( 27/64 )^3

= 1- (37/64)

= 1 - 0.421875

= 0.578125

= 0.578

Answer:

y+2 = -1 ( x+4)

Step-by-step explanation:

The y intercept is 2

The slope is found by using two point

( 0,2) and ( 2,0)

m = (y2-y1)/(x2-1)

   = ( 0-2)/(2-0)

   = -2/2

    = -1

The slope is -1 and the y intercept is 2

Using point slope form

y -y1 = m(x-x1) where m is the slope and ( x1,y1) is a point on the line

y-y1 = -1(x-x1)

It appears that we are using y1 = -2 so x = 4

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

y+2 = -1 ( x+4)

Answer:

no

Step-by-step explanation:

its not divisible by 10

you can also see that it ends with a 6

sorry if thats wrong

Answer:

no b/c the last digit does not end with a ten

Answer:

Step-by-step explanation:

y - 8 = -2/3(x + 3)

the solution is the 4th option

Answer:

53.076923

Step-by-step explanation:

130% as a decimal is 1.3

Divide 69 by 1.3:

69 /1.3 = 53.076923

Answer:

30

Step-by-step explanation:

The unknown number is x.

Start with x.

To increase x by 130%, you need to add 130%of x to x.

x + 130% of x

The sum equals 69.

x + 130% of x = 69

x + 130% * x = 69

1x + 1.3x = 69

2.3x = 69

x = 30

Answer: The number is 30.

Answer: 1 and 3/4 hours were spent rehearsing act 2.

Step-by-step explanation:

5 1/2 total hours spent rehearsing.

take the 3 3/4 hours from act 1.

Subtract 3 3/4 from 5 1/2 to get time spent for act 2.

5 1/2 - 3 3/4 = 7/4

7/4 = 1 3/4

Hope this helps

Answer:

1 3/4 hours

Step-by-step explanation:

Given the time taken to rehearse for act 1 and 2 of a school play to be 5 1/2 hours, if 3 3/4 were spent rehearsing act 1, the amount of time that will be spent in rehearsing act 2 can simply be gotten by taken the difference between the total time taken for both and time spent on act 1.

Mathematically, act1 + act 2 = 5 1/2 hours

If act 1 = 3 3/4 hours

act 2 =  5 1/2 hours - act 1

act 2 =  5 1/2 hours - 3 3/4 hours

Taking the difference between the two values;

= 5 1/2 - 3 3/4

= 11/2 - 15/4

= (22-15)/4

= 7/4 hours

The time taken for practising act 2 will be 1 3/4 hours

Answer:

the chemist should use 60 liters of 55% solution and 40  litres of 30% solution in order to prepare 100 liters of 45% purity of sulphuric acid.

Step-by-step explanation:

From the given information,

Let x be the litres of 55% pure solution

Let y be the litres of 30% pure solution

Also;

Given that our total volume of solution is  100 litres

x+y =100  ---- (1)

The total solution of pure by related by the sum of the individual pure concentrations to make up the concentration of final solution.

(0.55)(x)+(0.30)(y) = 0.45(100) ---- (2)

From equation (1)

Let ; y = 100 - x

Replacing the value for y = 100 - x into equation (2)

(0.55)(x)+(0.30)(100-x) = 0.45(100)

0.55x + 30 - 0.30x = 45

0.55x - 0.30x = 45 - 30

0.25x = 15

x = 15/0.25

x = 60 liters of 55% solution

From ; y = 100 - x

y = 100 - 60

y = 40  litres of 30% solution.

Therefore, the chemist should use 60 liters of 55% solution and 40  litres of 30% solution in order to prepare 100 liters of 45% purity of sulphuric acid.

Answer:

Yes, because to get the answer for this question one of the things you would do is most likely look at a group of statistics average them, and see who gets paid more.

Answer:

2x - 2

Step-by-step explanation:

Here is the completer question

lim as Δx → 0 [(x + Δx)²- 2(x + Δx) + 3 - (x² - 2x + 3)]/Δx

Solution

lim as Δx → 0 [(x + Δx)²- 2(x + Δx) + 3 - (x² - 2x + 3)]/Δx

Expanding the brackets, we have

lim as Δx → 0 [(x² + 2xΔx + (Δx)²- 2x - 2Δx + 3 - x² + 2x - 3)]/Δx

Collecting like terms. we have

lim as Δx → 0 [(x² - x² + 2xΔx - 2Δx + (Δx)²- 2x  + 2x + 3 - 3)]/Δx

Simplifying, we have

lim as Δx → 0 [(0 + 2xΔx - 2Δx + (Δx)² + 0 + 0)]/Δx

lim as Δx → 0 [2xΔx - 2Δx + (Δx)²]/Δx

Dividing through by Δx, we have

lim as Δx → 0 [2x - 2 + (Δx)]

Inserting Δx = 0, we have

= lim as Δx → 0 (2x -2 + 0)

= 2x -2

So lim as Δx → 0 [(x + Δx)²- 2(x + Δx) + 3 - (x² - 2x + 3)]/Δx = 2x -2

Answer:

The mean pressure applied to the driver’s head during a crash test is not significantly different for each type of car.

Step-by-step explanation:

A one-way ANOVA is used to test whether there is significant difference between the means for more than two groups.

In this case we need to test whether the mean pressure applied to the driver’s head during a crash test is significantly different for each type of car.

So, a one-way ANOVA would be used.

The hypothesis can be defined as follows:

H₀: There is no difference between the means, i.e. [tex]\mu_{1}=\mu_{2}=\mu_{3}[/tex]

Hₐ: There is a significant difference between the means, i.e. at least one of the mean is different.

Use MS-Excel to perform the ANOVA test.

Go to Data – Data Analysis – Anova: Single Factor

Enter the data and enter Alpha as 0.05.

Press OK.

The output is attached below.

The F-test statistic value is, F = 5.143.

The p-value of the test is, p-value = 0.072.

Decision Rule:

If the p-value of the test is less than the significance level then the null hypothesis will be rejected.

p-value = 0.072 > α = 0.05

The null hypothesis will not be rejected.

Conclusion:

The mean pressure applied to the driver’s head during a crash test is not significantly different for each type of car.

Answer:

0.035547

Step-by-step explanation:

We would be using z score formula to solve for this question

The formula for calculating a z-score is is

z = (x-μ)/σ

where x is the raw score = 18 in

μ is the population mean = 10.6 in

σ is the population standard deviation = 4.1 in

z score = 18 - 10.6/ 4.1

z score = 7.4 /4.1

z score = 1.80488

Using the normal distribution table to find the probability for the z score of 1.80488

Probability value from Z-Table:

P(z = 1.80488) = 0.96445

The probability that a fish caught there will be longer than 18 in is calculated as:

P(x>18) = 1 - P(z = 1.80488)

= 1 - 0.96445

= 0.035547

Step-by-step explanation:

Here,

a). As the graph is given that in 10litre of petrol 10 km can be covered .

then, in 1 liter petrol 1 km is covered.

so,

i). ans is 30 km .

ii). ans is 42km.

b). rate of petrol (r)= RM. 2.30

travelled km= 36.

used petrol = 36 litres (as per the information in graph).

now, total cost (tc)= r×used petrol

or, tc= RM. 2.30 × 36

Therefore, the total amount is RM.82.2.

Hope it helps...

Answer:

(-13)^35

Step-by-step explanation:

As instructed,

(-13) * (-13) ...(-13) 35 times is represnted as

(-13)^35

( = -972786042517719014174576083150881262357   .... by the way)

Answer:

We can group x³ and 2x², their GCF is x² so it becomes x²(x + 2). 12x + 24 has a GCF of 12 so it becomes 12(x + 2). Since both terms have the (x + 2) factor, the answer is (x + 2)(x² + 12).

Answer:

Answer A)  25, and x+5

Step-by-step explanation:

You need to complete the square by adding a constant that makes the quadratic expression a perfect square of a binomial. So base your analysis on the fact that the coefficient accompanying the square term of x is one, and the fact that the middle term has coefficient 10 which is twice "5" so 5 is the likely candidate for the binomial that goes squared: (x + 5) and the square of 5 (25) is what you need to add as constant term to get the perfect square of a binomial:

[tex]x^2+10x+25=(x+5)^2[/tex]

Answer: 26 games in total.

Step-by-step explanation:

If in each game we have one winner and one loser, then after each game we have one less player.

first, out of 37 players, we can write it as 36 players  + 1 player that does not play in the first round

the 36 players play games. Because in each game we need 2 players, we have a total of 36/2 = 18 games

in those 18 games, we eliminate 18 players, so now we have 37 - 18 = 19 players.

Now, we can write 19 = 18 players + 1 player that does not play this round.

From the 18 players, we have 18/2 = 9 games.

And from those 9 games, we lose 9 players, so now we have:

19 - 9 = 10 players.

Now from those 10 players, we have 10/2 = 5 games, so after those 5 games we have 10 - 5 = 5 players.

Now we can write 5 = 4 players + 1 player that does not play this round.

from the 4 players we have 4/2 = 2 games, after those 2 games we end with 5 - 2 = 3 players.

And from those last 3 players, we have two games, where in each game one player is eliminated until we have only one winner.

Then the total number of games is:

18 + 9 + 5 + 2 + 2 = 26 games

Answer:

8

Step-by-step explanation:

Assuming, the canvas has the shape of a square. By the square area formula we can derive its side:

[tex]S=l^{2}\\64=l^{2}\\l=\sqrt{64}\\ l=8\: ft[/tex]

Then Each side of the painting measures 8 feet, the length of frame must have 8 feet long, and the width is decided by the framer.

Answer:

The answer is C: 32 ft

Step-by-step explanation:

If you take the square root of the area of 64 ft ^2, you get 8. then it asks what is the length needed for the frame as in the entire frame. So you just have to multiply 8 by 4 which is the number of sides. Also, I got this right on the edg quiz.

Answer:

Sacramento

Step-by-step explanation:

S 11+9+14+12+8=54

SF 11+8+8+9+12=48

The statement that is true about the information in the table is that the data is non-linear.

The easier way to study the table is by graphing it. Here we have the points:

(11, 11), (12, 9), (9, 8), (8, 8), and (14, 12).

The graph of these points can be seen below, there you can see that the data in the table is clearly non-linear, as we can't draw a line that contains the points on the table.

So the correct option is non-linear.

If you want to learn more about tables, you can read:

https://brainly.com/question/7301139

Answer:

Step-by-step explanation:

The orthocenter of a triangle is the point of intersection of the lines containing its heights.

You find line like that leading line perpendicular to the side of the triangle and crossing the opposite vertex.

Point A is opposite to side BC so line perpendicular to BC that intersects point A is one of the lines needed to find orthocenter.

Answer:

57

Step-by-step explanation:

Subtract one player from the total number, because one has to block.

19

Multiply this by the number of goalies there are.

19*3=57

There will be 57 kicks.

Answer:

Total consumer spending is 160

Step-by-step explanation:

Here , we are interested in calculating the total consumer spending.

In a long run perfect competition market, price interest with MC and minimum point of AC

Hence , P = AC

this means that Q = 40,000/P = 40,000/150 = 266.67 which is approximately 267 potatoes will be consumed

The total consumer spending is thus 267 * 0.6 = 160

Answer:

[tex]\frac{4}{3}[/tex]

Step-by-step explanation:

The area of a regular octahedron is given by:

area = [tex]2\sqrt{3}\ *edge^2[/tex]. Let a is the length of the edge (diagonal).

area = [tex]2\sqrt{3}\ *a^2[/tex]

Given that the diagonal of the octahedron is equal to height (h) of the tetrahedron i.e.

a = h, where h is the height of the tetrahedron and a is the diagonal of the octahedron. Let the edge of the tetrrahedron be e. To find the edge of the tetrahedron, we use:

[tex]h=\sqrt{\frac{2}{3} } e\\but\ h=a\\a=\sqrt{\frac{2}{3} } e\\e=\sqrt{\frac{3}{2} }a[/tex]

The area of a tetrahedron is given by:

area = [tex]\sqrt{3}\ *edge^2[/tex] = [tex]\sqrt{3} *(\sqrt{\frac{3}{2} }a)^2=\frac{3}{2}\sqrt{3} *a^2[/tex]

The ratio of area of regular octahedron to area tetrahedron regular is given as:

Ratio = [tex]\frac{2\sqrt{3}\ *a^2}{\frac{3}{2} \sqrt{3}*a^2} =\frac{4}{3}[/tex]

Hey there! I'm happy to help!

If the triangles are similar, the ratio between all of the sides is the same.

We see that to get the 4.2 in the big triangle to the 2.4 in the smaller triangle, we must divide by 1.75 (we get this from 4.2/2.4=1.75). So, if the ratio between all the sides is the same in both triangles, we can divide 6.3 by 1.75 to get y.

6.3/1.75=3.6

Therefore, the length of y is B. 3.6.

Have a wonderful day! :D

Answer:

3.6 = y

Step-by-step explanation:

We can use ratios to solve

2.4             y

----------- = ------------

4.2              6.3

Using cross products

2.4 * 6.3 = 4.2 y

15.12=4.2y

Divide by 4.2

15.12/4.2 = 4.2y/4.2

3.6 = y