A small pool is leaking water from a hole. After 2 ½ minutes, 3 ½ liters of water have leaked out.
How many liters of water will leak in one minute?
At this rate, how many liters will have leaked out after 10 minutes?
If the pool has 42 liters of water in it, after how many minutes will be empty?

Answer:

7 + 3 = 10

7 + 5 = 7 + (3 + 2) = 7 + 3 + 2 = (7 + 3) + 2 = 10 + 2 = 12

Hope this helps!

Answer:

125cm cubed

Step-by-step explanation:

First, the formula for volume is l x h x w, so we have to multiply 5 x 5 x 5 which equals 125.

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Volume of the new similar cylinder is equals to 340,426.24 in.³.

" Volume is defined as the total space occupied by any three dimensional objects enclosed in it."

Formula used

Volume of the cylinder = πr²h

r = radius of the cylinder

h = height of the cylinder

value of π = 3.14

According to the question,

radius of the cylinder = 11 in.

height of the cylinder = 14 in.

Dimensions of new cylinder are quadrupled means 4times.

New radius = 44 in.

New height = 56 in.

Substitute the value in the formula we get,

Volume of the new cylinder = (3.14) ×(44)² × (56)

                                      = 340,426.24 in.³

Hence, volume of the new similar cylinder is equals to 340,426.24 in.³.

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Answer: -3

Step-by-step explanation:

You are going to substitute z for 3

 ( 4 x 3) - 15

12-15

= -3

Answer:

-3, remember pemdas. 3 times 4 is 12 and subtracted 15 is -3

If your town's mill rate is 8 and your assessed home value is $188,000, your town tax bill will be $1504.

Tax is a complusory amount levied by the government or an agency of the government on the sales of goods and services. It is a fomr of transfer of wealth to the government.

Town tax = (8 x $188,000) / 1000 = $1504

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Answer:

60g/cm - 78grams . 2560ml

Step-by-step explanation:

The average of a dataset is the sum of the dataset divided by the count of the dataset.

The average mass readings of students A and B is 80560g

Given that:

\(Student\ A: 80,560\ 80,555\ 80,565\)

\(Student\ B: 80,400\ 79,551\ 81,729\)

The average mass is calculated using average formula

\(\bar x = \frac{\sum x}{n}\)

For both students

\(n = 3\) --- the number of mass readings

So, we have:

Student A

\(\bar x_A = \frac{80560 + 80555 + 80565 }{3}\)

\(\bar x_A = \frac{241680}{3}\)

\(\bar x_A = 80560g\)

Student B

\(\bar x_B = \frac{80400+ 79551+ 81729}{3}\)

\(\bar x_B = \frac{241680}{3}\)

\(\bar x_B = 80560g\)

Hence, the average mass readings of both students is 80560g

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2X ( X - 9 ) = 1

2X^2 - 18 X = 1,

2 X^2 - 18 X - 1 = 0.

a = 2 , b = -18, c = -1

These triangles can be proven congruent by using ASA RULE.

What is congruent triangles and its rules ?

When two triangles are congruent, their three sides and their three angles match precisely.

If there is a turn or a flip, the equal sides and angles might not be in the same place, but they are still present.

ASA rule stands for Angle-Side-Angle rule which means two angles and a side of both triangles are equal.

Main Body:

In ΔTUV and ΔTWV

VT =VT                 ----(1)

∠VTU=∠TVW      -----(2)

As TUVW is a parallelogram

so, ∠T = ∠U

hence, ∠TVU =∠VTW    ----(3)

taking equation 1, 2,3

therefore, ΔTUV ≅ ΔTWV by ASA rule which means by Angle- Side- Angle rule.

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Answer:

For every dog and cat he washes he gets 24 dollars right so he would get 352 MKenya

Step-by-step explanation:

You need to add 10 ounces of 20% alcohol solution.

x = ounces of 20% alcohol solution to add to the 15 oz of 25% solution

15 oz of a 25% solution = 3.75 oz of pure alcohol

The total amount can be described 15+x ounces.

We solve the problem in terms of the amount of pure alcohol

2x + 3.75 = .23(15+x)

2x + 3.75 = 3.45 + .23x

Subtracting .2x from both sides

3.75 = .03x + 3.45

Subtracting 3.45 from both sides

3 = .03x

Multiply by 100

30 = 3x

Divide by 3

10 = x

x = 10

So, you have to add 10 oz of 20% alcohol solution to 15 oz of 25% alcohol.

At the end we would have 25 oz that we believe would be 23% alcohol. If that is true, then we would have:

23 * 25 = 5.75 oz of pure alcohol in the solution.

We have shown (above) that we have 3.75 oz of pure alcohol in the 15 oz of 25% solution.

How many oz of pure alcohol is there in 10 oz of 20% alcohol?

2*10 = 2 oz

3.75 + 2 = 5.75 oz, which is exactly what we needed

You need to add 10 ounces of 20% alcohol solution.

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6. It's B. x2+y2=25

9. (x + 3)² + (y – 2)² = 25

Hope this helps since this is solved by a 10-year old girl, me.

1. 4 + 5x = 16

2. (5-4)x = 16

3. 16 - 4x = 5

Answer:

7

Step-by-step explanation:

Answer:

she can buy 30

Step-by-step explanation:

8/0.26 = 30.7

round to 30 because you need a whole number.

The simplified expression for |Qc|/|Qh| is 1, which does not depend on any volume, variables or constants.

In Part C, we found that:

|Qh| = nCpΔT

And in Part D, we found that:

|Qc| = nCpΔT

Since the same amount of heat is being transferred, we have |Qc| = |Qh|, which means:

|Qc|/|Qh| = 1

Heat transfer is a process by which thermal energy is exchanged between objects or systems due to a temperature difference. The direction of heat transfer is always from a region of higher temperature to a region of lower temperature until thermal equilibrium is reached, which means that the temperatures of the two objects or systems become equal.

There are three main modes of heat transfer: conduction, convection, and radiation.

Conduction is the transfer of heat through a material without any movement of the material as a whole. In this process, thermal energy is transferred from one particle to the next through collisions. Metals are good conductors of heat, whereas insulators such as air or plastic are poor conductors.

Convection is the transfer of heat by the movement of fluids, such as liquids or gases. This occurs when the fluid itself moves from one place to another due to differences in temperature. An example of convection is the circulation of hot air rising from a heater.

Radiation is the transfer of heat through electromagnetic waves, such as light, infrared radiation, or radio waves. All objects emit and absorb radiation, and the amount of radiation emitted is proportional to the object's temperature. An example of radiation is the heat we feel from the sun.

Understanding the principles of heat transfer is important in many fields, including engineering, meteorology, and materials science. By controlling heat transfer, we can design more efficient and effective systems, such as insulation for buildings, cooling systems for electronic devices, or solar energy harvesting technologies.

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It takes time of near about 35 year.

Given that,

Storage capability of computers has been doubling every 5 years

The date of 1st computer made = 1980

computer could store 5 megabytes,

Now,

We can use the following calculation to determine how long it took computers to store 100 megabytes:

Therefore,

Log₂ (final amount / beginning amount)

=  Log₂ (100 / 0.5)

= log₂ (200)

= 7.64 is the number of doublings.

If each doubling takes five years, then it would take computers just over seven doublings or almost 35 years to store 100 megabytes.

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The length of the rectangular shaped parking lot will be: 246 yards.

A rectangular shape has a width and a length. The perimeter of the rectangular shape is simply the sum of all its width and its length. The formula for the perimeter of the rectangular shape would therefore be:

Perimeter = 2(length + width).

Given the following:

Perimeter of the rectangular shaped parking lot = 656 yards

Width of the rectangular shaped parking lot = 82 yards

Length = x = ?

Plug in the values into the perimeter formula for a rectangular shape:

2(x + 82) = 656

Divide both sides by 2

2(x + 82)/2 = 656/2

x + 82 = 328

x + 82 - 82 = 328 - 82

x = 246

Length would need to be 246 yards.

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The Binomial probability of x = 3 for the given parameters is 0.2048

The Binomial probability relation can expressed as :

\(P(x) = nCx * p^{n} * q^{n-x}\)

where :

for x = 3

We substitute x into the equation thus :

P(x = 3) = 17C3 * (1/8)³ * (1 - 1/8)¹⁴

P(x = 3) = 0.2048

Therefore, the probability of x = 3 in the scenario given is 0.2048

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Answer: 1

Step-by-step explanation: It is 1 because according to order of operations we have to do what is inside the parentheses first, so we do 2x2 + 2x2, which equals 4+4=8, finally do 8/8 to get 1.

Hope this helps! :)

Answer:

96

Step-by-step explanation:

Answer:

The correct answer is: he ate 6 sweets.

Step-by-step explanation:

24 / 4 = 6

Answer:

The jumping dolphin is approx. 6 meters under sea level

The flying seagull is approx. 8 meters under sea level

The mobula ray is approx. 2 meters under sea level

The clownfish is approx.t 4 meters under sea level

The octopus is approx.  8 meters under sea level

The jumping dolphin: The mobula ray is 9 meters lower than the jumping dolphin.

The flying seagull: The mobula ray is 11 meters lower than the flying seagull.

The octopus: The mobula ray is 11 meters higher than the octopus.

The jumping dolphin: The albatross is 1 meter lower than the jumping dolphin.

The flying seagull: The albatross is 3 meters lower than the flying seagull.

The octopus: The albatross is 13 meters higher than the octopus.

The jumping dolphin: The clownfish is 8 meters lower than the jumping dolphin.

The flying seagull: The clownfish is 10 meters lower than the flying seagull.

The octopus: The clownfish is 6 meters higher than the octopus.

If the new dolphin is above the dolphin in the picture, then its distance from the surface of the ocean is 6 - 3 = 3 meters.

If the new dolphin is below the dolphin in the picture, then its distance from the surface of the ocean is 6 + 3 = 9 meters.

✧☆*: .｡. Hope this helps, happy learning! (✧×✧) .｡.:*☆✧

Answer:

7: 63

8: 73

arithmetic sequence

y = 10x - 7

or f(n) = 10x -7

or

\(a_{n}\) = 3 + (n-1)10

Step-by-step explanation:

the output increases by 10 every time that the input increases by 1.  That gives us our common difference or slope.  The y intercept is -7. That is the value is you worked backwards until you get to n = 0.  The initial value  is 3.  That is when n is 1.

When n is 3, f(n) is 23

When n is 2, f(n) is 13

When n is 1, f(n) is 3

When n is 0, f(n) is -7

I am not sure if this is clear.  I am assuming that you have a lot of knowledge of linear equations and how to write arithmetic sequence.  If my explanation is confusing it is me and not you.

Answer:

a. 63,73

b. Arithmetic sequence

c.t(n)=10n-7

Explanation:

a. Here is the completed table:

n | t(n)

4 | 33

5 | 43

6 | 53

7 | 63

8 | 73

b.

The type of sequence is arithmetic.

An arithmetic sequence is a sequence of numbers where the difference between any two consecutive terms is constant.

In this case, the difference between any two consecutive terms is 10.

c.

The equation for the arithmetic sequence is:

t(n)=a+(n-1)d

where:

For Question:

Now

equation becomes:

t(4) = a+(4-1)10

33=a+30

a=33-30

a=3

Now, the Equation becomes

t(n) = 3+(n-1)10

t(n) = 3+10n-10

t(n)=10n-7

Answer:

The chance of 18.18 percent.

Step-by-step explanation:

9 red marbles

6 blue marbles

7 green marbles

11 yellow marbles

9+6+7+11=33

33 total marbles.

The chance of getting red marbles of the 33 is 27.27

The chance of getting blue marbles of the 33 is 18.18

The chance of getting green marbles of the 33 is 21.21

The chance of getting yellow marbles of the 33 is 33.33

The evaluation of the information in the graph are as follows;

5 a. The relationship is a proportional relationship

b. Yes

c. The amount in pay increases by $30

A proportional relationship is a relationship in which the output variable is a constant multiple of the input variable.

a. The relationship between earnings, y, and the time spent mowing, x, is a proportional relationship, because the graph of the function is a straight line and passes through 0

The proportional relationship can be found from the equation; y = k·x

Where;

y = Earnings ($)

x = The time spent mowing (h)

When x = 1, y = 10

Therefore;

10 = k × 1

k = 10 ÷ 1 = 10

k = 10

b. When the time is tripled, we get;

At x₁ = 1, y₁ = 10

x₂ = 3 × 1 = 3

y₂ = 10 × 3 = 30

Therefore, when the number of hours is tripled, the number of dollars triples

c. Let the initial mowing time, x₁ = 1 hour, the amount received as pay, y₁ = $10

The new mowing time, x₂ = 1 + 3 = 4

The new amount earned, y₂ = 10 × 4 = 40

The new amount earned = $40

The amount by which the pay increases = $40 - $10 = $30

The pay increases by $30

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