Can someone please help me with math.

(a) The concentration of our solution in the tank initially is 0.060 kg/L. (b) the amount of salt in the tank after 2. 5 hours is 44.45 kg. (c) The concentration of salt in the solution in the tank as time approaches infinity is 0.030 kg/L.

Divide the solute's gram weight by the total weight of the solution, then multiply the result by 100 to get the mass/mass percent of the solution. The amount of solute (measured in grams) per milliliter of solution is known as the mass/volume percent.

(A) Tank contains 60 kg of salt and 1000 L of water. So the concentration of solution in the tank initially = 60/1000 kg/l

The concentration of solution in the tank initially = 0.060 kg/L

(B) Let y(t) denote the amount of salt in the tank at any time t.

Rate In

A solution of concentration 0.03 kg of salt per liter enters a tank at the rate 9 L/min.

[tex]R_{i}[/tex]  =(concentration of salt in inflow)(input rate of solution)

= (0.03kg/L)*(9L/min)

= 0.27kg/min

Rate Out

The solution is mixed and drains from the tank at the same rate.

Concentration, C(t) = Amount/Volume = y(t)/1000

[tex]R_{out}[/tex] =(concentration of salt in outflow)(output rate of solution)

= {y(t)/1000}kg/L*9L/min

= 0.009y(t) kg/min

Therefore, the differential equation for the amount of Salt in the Tank  at any time t:

dy/dt = 0.27 - 0.009y(t)

So the amount of salt in the tank after 2. 5 hours (2.5*60 min = 150 min) is  44.45 kg.

(c) The concentration of salt in the solution in the tank as time approaches infinity

As t -> -∞, e^-∞ = 0

so, the concentration of salt in the solution in the tank as time approaches infinity is 0.030 kg/L.

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Therefore , the solution of the given problem of percentage comes out to be  athletes who took move  285 to finish the race is 64%.

A percentage is what is used to describe a fraction of a whole when it is stated as a number range between 0 and 100. 100% of something, 50% of something, and 0% of something are all equal. After dividing the portion of the whole by the entire, multiply the result by 100 to arrive at a percentage.

Here,

For the table to get the total frequency is:

=> 3+6+9+7

=>9+9+7

=>25

The frequency greater than 285 is

9+7 = 16

So,

the percentage of the athletes who took move  285 to finish the race is:

=> 16/25 * 100

=> 0.64 * 100

=> 64%

Therefore , the solution of the given problem of percentage comes out to be  athletes who took move  285 to finish the race is 64%.

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Answer:

It will take him 9 weeks to be able to buy the bike.

Cristiano is saving money to buy a bike that costs $189. He saved $99 so far. He plans on saving $10 each week. The correct answer is 9 weeks.

So, we have:

- Cost of the bike = $189

- Money saved = $99

- Money saving each week = $10

We are trying to find how many weeks will he have enough money to the bike.

So, we are going to multiply and add the numbers to find are answer:

→ (n × $ 10) + $ 99 = $ 189

→ n × $ 10 = $ 90 n = $ 90 $ 10 n=9 weeks.

Therefore, Cristiano is saving money to buy a bike that costs $189. He saved $99 so far. He plans on saving $10 each week. The correct answer is 9 weeks.

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Answer:

76 cm^2

Step-by-step explanation:

Volume of the cuboid = Length(l)×breadth(b)×Height (h)

Given that

A cuboid has a volume of 24 cm^3 and its length, breadth, and height are integers only.

prime factor of 24 = [tex]2^3\times3\times1[/tex]

24 = 2×3×2×2×1

24= 12×2×1

or 24= 6×4×1

Now, for Surface area to be maximum we have to take dimensions as

12,2,1

SA = 2(lb+lh+bh)

=2(12×2+12×1+2×1)

= 76 cm^2

Therefore, maximum area of the cuboid with diemensions, 12,2,1 = 76 unit

Answer:

2167.7m²

Step-by-step explanation:

[tex]SA=2\pi r^2+2\pi rh[/tex]

     = 2π(15m)²+2π(15m)(8m)

     = 2167.7m²

The minimum and maximum possible heights of the bowling pin are 14.96875 inches  and 15.03125 inches

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

Absolute deviation = 0.03125 inches

Height = 15 inches

The minimum is calculated as

Minimum = Height - Absolute deviation

Substitute the known values in the above equation, so, we have the following representation

Minimum = 15 - 0.03125 inches

Minimum = 14.96875 inches

The maximum is calculated as

Maximum = Height + Absolute deviation

Substitute the known values in the above equation, so, we have the following representation

Maximum = 15 + 0.03125 inches

Minimum = 15.03125 inches

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Step-by-step explanation:

1:13

2:26

3:39

4:52

5:65

6:78

Rule - ×13

Answer:

25%

Step-by-step explanation:

9x4=9

1/4=25%

hope this helps

Step-by-step explanation:

4/25 cannot be converted into a whole number, it is less than 1

Answer:

decimal = 0.15

whole number (rounded) = 0

Answer: 38.5%

Step-by-step explanation:

it decreased by 38.5%

formula for it is (value 2 - value 1)/value 1 * 100 = so (800-1300)/1300*100 = -500/1300*100 = -0.384615 * 100 = -38.4615 = -38.5 (round off) = 38.5 decrease

Answer:

200

Step-by-step explanation:

Answer:

First lets break this down.

20 inch

and 10

lxw+length x with

So,now we mulitply the area.

AFter we do the perimater.

Next step is to do our equation.

Your answer is 200

Step-by-step explanation:

Hope this helped g!

The bake sale sign has a 6 ft2 space.

An object's area is how much space it takes up in two dimensions.

It is the measurement of the quantity of unit squares that completely cover the surface of a closed figure.

The word "area" refers to a free space.

A shape's length and width are used to compute its area. Unidimensional length is expressed in terms of feet (ft), yards (yd), inches (in), etc.

But a shape's area is a two-dimensional measurement. In order to measure something in a square, it is done so using measurements like square inches (in2), square feet (ft 2), square yards (yd2), etc.

The majority of forms and things have corners and edges. 

According to our question-

The opposite sides of a rectangle's quadrilateral (it has four sides and four angles) are equal and parallel.

Area of a rectangle equals length times width.

The area of the bake sale sign = length * breadth

Hence, The bake sale sign has a 6 ft2 space.

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Answer:

i think linear

Step-by-step explanation:

let me know if this is wrong

The final equation is a polynomial of primes  [tex]2x^{4} + x^{3} - x + 2[/tex] It can't be factored. Variables are sometimes known as indeterminate in mathematics.

 An essential component of the "language" of mathematics and algebra are polynomials. They are used to express numbers that are the result of mathematical operations in almost every area of mathematics. Other types of mathematical expressions, such as rational expressions, also use polynomials as "building blocks."

given

Is a base form of a polynomial in other words is a polynomial that can't be factored.

so we have

[tex]A ) x^{3} +3x^{2} - 2x - 6 = ( x +3 ) ( x^{2} - 2 )\\B) x^{3} -2x^{2} +3x - 6 = ( x- 2 ) (x^{2} + 3)\\C)4x^{4} +4x^{3} - 2x - 2 = 2( x +1 )(2x^{2} - 1)\\D) 2x^{4} +x^{3} -x + 2[/tex]

hence, the final equation is a polynomial of primes  [tex]2x^{4} + x^{3} - x + 2[/tex] It can't be factored.

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Answer:

17%

Step-by-step explanation:

Firstly, we can establish that the tip is a percentage of the bill, excluding tips. This means that the $75.29 would be 100%, thus to find the percentage of tip received, we would take
$12.80/$75.29 × 100 = 17%

Answer:

15 (C)

Step-by-step explanation:

everything else equals 125

Answer:

C. 15

Step-by-step explanation:

5*5*5, 5^3, and 5^2*5 all equal 125

Answer:

24x

Step-by-step explanation:

Volume:-

= 12 × 11 × 11

= 12 × 121

= 1452 cm³

Answer:

it is 1452 I believe (๑ↀᆺↀ๑)

Answer:

√28 and √11

Step-by-step explanation:

Note : -

Irrational number is any real number that cannot be expressed as the quotient of two integers.

Here,

√28 = 5.291.......

5.291.... is an infinite number, it keeps going, it cannot be expressed in terms of a fraction.

Similarly,

√11 = 3.316......

Hence,

√28 and √11 are irrational numbers.

Answer:

6[tex]x^{2}[/tex] + 1

Step-by-step explanation:

[tex]\frac{6x^{3}+ 2x-x }{x}[/tex]   combine 2x -x = x

[tex]\frac{6x^{3} + x}{x}[/tex]

[tex]\frac{x(6x^{2} + 1) }{x}[/tex]  the x's cancel out

6[tex]x^{2}[/tex] + 1

Answer:

58 degree is the value of x

Answer:

33

Step-by-step explanation:

18 + 15 ← factor out 3 ( the GCF ) from each term

= 3(6 + 5)

= 3(11)

= 3 × 11

= 33

Answer:

The right solution is "3.29, 3.57".

Step-by-step explanation:

Seems that the given problem is incomplete. Below is the attachment of the complete and appropriate query.

The given values are:

Randomly selected adults,

[tex]n = 105[/tex]

Mean,

[tex]\bar{x} = 3.42[/tex]

Standard deviation,

[tex]s = 0.75[/tex]

Now,

At 95% confidence level if given by,

=  [tex]\bar{x} \ \pm \ Z_{\frac{\alpha}{2} }\times \frac{s}{\sqrt{n} }[/tex]

On putting the given values, we get

=  [tex]3.42 \ \pm \ Z_{\frac{0.05}{2} }\times \frac{0.75}{\sqrt{105} }[/tex]

=  [tex]3.42 \ \pm \ 1.96\times 0.073[/tex]

=  [tex]3.42 \ \pm \ 0.143[/tex]

=  [tex]3.29, 3.57[/tex]

Answer:

|5-2x|<_11

=5+2x<11

=2x=11-5

2x=6

=X<-3

Answer:

You could start by measuring the angle of the slope, then mark the half point of the slope, call it 0, then mark the left end -1 and then the right end 1

You may begin by calculating the slope's angle, then marking the slope's midway point, or 0, then the left end, -1, and finally the right end, 1.

The length of the rectangle is 4 units.

A quadrilateral with parallel sides that are equal to one another and four equal vertices is known as a rectangle.

Let n be the length of the rectangle.

The width of a rectangle is the length minus 2 units.

The width = n - 2

The area of the rectangle is 8 square units.

The area of the rectangle = length x width

8 = n (n-2)

n²-2n - 8 = 0

n²-4n+2n - 8 = 0

n(n-4)+2(n-4) = 0

(n+2)(n-4) = 0

n = 4 and -2.

So the length is 4 units.

Therefore, 4 units are the length of the rectangle.

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Since the family visits a car show to research information on vehicles they might consider purchasing. The option that is an example of a continuous quantitative variable that might be included in the brochure is option D: fuel efficiency  (in mpg).

A continuous quantitative variable is a type of variable that can take on any value within a certain range, such as fuel efficiency which can take on any value between a certain range of miles per gallon (mpg). In contrast, a categorical variable can only take on a discrete set of values.

"Number of seats" is also a continuous quantitative variable, but it is a bit different in the sense that it only can take on a certain values, for example the possible values for number of seats in a car can only be 2,4,5,6, etc.

Type of transmission is not a continuous quantitative variable, but it's a categorical variable, it can only take certain values such as Automatic, manual, etc.

Note also that presence of a sunroof also not a continuous quantitative variable, but it's a binary categorical variable which has only two possible values: true (presence) and false (absence)

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