Johan's water bottle holds 4.2L of water. Johan has drank 51% of water in the bottle. How much, in litres, has he drunk?

Answer:p(x) = x^3 - 5x^2 - 4x + 20

Step-by-step explanation:

1, - 1, 2, - 2, 4, - 4, 5, - 5, 10, - 10, 20, - 20

P(2) = 2^3 - 5 × 2^2 - 4 × 2 + 20

= 8 - 20 - 8 + 20 = 0,

so, 2 is one of its roots (zeros)

So,

x - 2 is one of the factors of p(x)

So, on dividing p(x) by x - 2 we get

P(x) = (x - 2) (x^2 - 3x - 10)

= (x - 2) (x^2 - 5x + 2x - 10)

= (x - 2) {x (x - 5) + 2 (x - 5)}

= (x - 2) {(x - 5) (x + 2)}

P(x) = (x - 5) (x - 2) (x + 2)

For zeros, let p(x) = 0

=> (x - 5) (x - 2) (x + 2) = 0

Either

(x - 5) = 0

Or

(x - 2) = 0

Or

(x + 2) = 0

So, x = 5, 2, - 2

Answer:

The values of x are 0 and -4.5

Step-by-step explanation:

To find the inflection point, we simply find the second derivative

Mathematically, that will be calculated as follows

1st derivative

10x^4 + 60x^3

2nd derivative

40x^3 + 180x^2

Equate these values to zero

40x^3 + 180x^2 = 0

x^2(40x + 180) = 0

x^2 = 0

or 40x = -180

x = 0

or x = -180/40 = -4.5

Answer:

[tex]V=\dfrac{2}{25}T+22[/tex]

Step-by-step explanation:

It is given that,

At 0 degrees Celsius, the volume of a gas is 22 liters. For each degree the temperature T (in degrees Celsius) increases, the volume V (in liters) of gas increases by 2/25.

If we take a cartesian coordinate, the line passes through (0,22). The slope of the line is 2/25.

The equation of a point-slope form is given by :

[tex]y-y_1=m(x-x_1)\\\\y-22=\dfrac{2}{25}(x-0)\\\\y-22=\dfrac{2x}{25}\\\\y=\dfrac{2x}{25}+22[/tex]

Here, x will be temperature and y will be volume. So,

[tex]V=\dfrac{2}{25}T+22[/tex]

Hence, the equation that represents the volume in terms of the temperature is [tex]V=\dfrac{2}{25}T+22[/tex]

Answer:

[tex]4\sqrt{10}[/tex]

Step-by-step explanation:

Answer:

$0.72

Step-by-step explanation:

In order to solve this question we need to know that 1% is one hundredth of something. Another important thing you need to understand is that when we are trying to find n% of y  we multiply just need to multiply "y" by [tex](\frac{n}{100} )[/tex]. In our case we have to find 6% of 12, in other word they are asking as the following "What is $12 times [tex](\frac{6}{100} )[/tex]?". So in order to find the answer we do the following..............

[tex]12 (\frac{6}{100} ) = \frac{(12)(6)}{100} = \frac{72}{100} = 0.72[/tex]

Answer:

There were a total of 40 girls there

Step-by-step explanation:

32 divided by 4 is 8

So multiply 8 x 5 to get 40

Answer:

Step-by-step explanation:

rewrite 9-6x+[tex]x^{2}[/tex] as [tex]x^{2}[/tex]-6x+9.  (this step isn't necessary, but it's easier when the bigger term is in front)

There's two ways: using the quadratic formula, or just doing it in your head (for simple ones)

For the simple way:

think about what numbers not only multiply to equal c (represented by 9 in this case) but also add to equal -6 (represents b in this problem).  There are two numbers for this problem that work: -3 and -3.  So you would write the factored form as (x-3)(x-3)

Quadratic formula:

The formula is [tex]\frac{-b}{2a}[/tex] ±[tex]\frac{\sqrt{b^{2}-4ac } }{2a}[/tex]

This formula works for equations in the form of a[tex]x^{2}[/tex]+bx+c.

Substitute in the values to get:

[tex]\frac{6}{2} +\frac{\sqrt{-6^{2} -4(1)(9)} }{2}[/tex]

simplify:

3±[tex]\frac{\sqrt{36-36} }{2}[/tex]

3±[tex]\frac{0}{2}[/tex]

the answer is 3, which is the x-intercept.  Write that as (x-3)(x-3)

Answer:

Step-by-step explanation:

Only the first table represents a linear function. In order to be in linear function, the graph of the function must be a straight line.

Answer:

Step-by-step explanation:

All that making a list does is creates a visible step by step instruction manual on what needs to be done in order to solve the math problem that needs to be solved. Lists are extremely helpful and can be used in every single math problem, for example....

15x - 25 = 275

See making a list isolates the problem into an easy to read instruction manual.

Answer:

Step-by-step explanation:

Supplementary angles are two or more angles that add up to give the measure of angle on a straight line (i.e [tex]180^{o}[/tex]).

It can be deduced from the given question that;

1. <1 and <2 are supplementary, also <1 and <3 are supplementary. Reason: as given in the question.

2. Given statements: m<1 + m<2 = [tex]180^{o}[/tex], and m<1 + m<3 =  [tex]180^{o}[/tex]. The reason is the definition of supplementary angles.

3. Statement: m<2 = m<3. The reason is a transitive property.

4. Statement: m<1 + m<2 = m<1 + m<3. The reason is subtraction property of equality.

5.Given statement: <2 ≅ <3. The reason is that definition of congruent angles.

Therefore, <2 ≅ <3.

Answer:

length = 14.14 m and width=width 11.32 m

Step-by-step explanation:

length be L and width be w

L:w = 5:4

L/w = 5/4

Let L =5k and w=4k

since A= lengthxwidth

A=5k x 4k

so, 160 = 20 k2

k 2 = 8

k = 2.828

since L = 5k in above, L= 5x2.828= 14.14

and since w=4k in above, w=4x2.828 = 11.32

This is my Guess. ..

Answer:

I hope it will help u

Step-by-step explanation:

As given that

L:W=5:4

L/W=5/4

hence we also know that

As given A=160m2

putt the value of A and L=(5/4)W in above equation ,

hence      160 = (5/4)W * W

W^2 = 160*4/5

W^2 = 32*4

W^2=128

taking square root

W= +_ 11.3

but length can't be negative so we take positive value of W

Answer:

-4/6, -8/12, -16/24, etc. look at the picture.

Step-by-step explanation:

Brainliest Please!!! Also, Tip: show the multiple choice options.

Answer:

4/6

Step-by-step explanation:

Answer:

34 then 42

Step-by-step explanation:

big brainnnnnnnnn

Answer:

588

Step-by-step explanation:

In a factor tree, I mostly like to look from down to up so that I can track down the non-square number. In a square number, there must be two factors that are exactly the same as each other, and when multiplied gives that square number.

So based on the 5 × 5, 2 × 2, and 7 × 7, we can tell that 25, 4 and 49 are all square numbers. We move up one level. Since the factors of 196 are square numbers, 196 is also a square number since it consists of 2² × 7².

We move another step up. 588 consists of 3 and 196. We know that 196 is a square number, but 3 is a prime number, which means that 3 only has a factor of 3 and itself. Thus, 588 is not a perfect square number since there should be a double factor for 3.

Answer:

35

Step-by-step explanation:

Let's call the original price X

14% of x is equal to $4.90 to calculate 100% of the price we multiply 100 with 4.9 then divide it with 14

4.9 × 100 ÷ 14 = 35

Answer:

0.6

Step-by-step explanation:

ill explain later GO GO GO

Answer:

1068

Step-by-step explanation:

Answer:

$7.50

Step-by-step explanation:

Let the price of one sandwich = x

Hence,

The total cost = Cost of 5 identical sandwiches + 1 bag of chips

The bag of chips costs $1.25, and the entire order costs $38.75.

Hence:

$38.75 = 5x + $1.25

5x = $38.75 - $1.25

5x = $37.50

x = $37.50/5

x = $7.50

Therefore, the price of one sandwich is $7.50

The value of g(1) is 2 because the graph represents the greatest integer function, the answer is 2.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

It is given that:

The graph of the greatest integer function is shown in the picture:

From the graph:

g(1) = 2

g(2) = 4

g(3) = 4

g(4) = 4

g(5) = 4

And so on

Thus, the value of g(1) is 2 because the graph represents the greatest integer function, the answer is 2.

Learn more about the function here:

brainly.com/question/5245372

#SPJ2

Answer:

A person's age and height

Step-by-step explanation:

Required

Select which do not represent proportionality

Proportionality exists when a unit rate can be calculated.

For instance:

- If 2 litres of gas is $2, then the unit rate is $1 per litre

- If an employee is paid $100 for 5 days, then the unit rate is $20 daily

- If 5 movie tickets cost $50, then the unit rate is $10 per movie

The above scenario are used to describe options (2 - 4) because they can be expressed in unit rates.

However, this is not the same for age and height because age is not a function of height and height is not a function of age. In other words, they can not be expressed in proportions.

So, option (a) is not a situation of proportionality.

Answer:

64.9606

Step-by-step explanation:

165/0.393701

Answer:

Cups are the unit

Step-by-step explanation:

If you were using cups so 8 pancakes you use 5/6 of a cup per pancake

(a unit is just what you use to measure something, so cups, liters, or even cm or meters)

Answer:

Adults = 300

Step-by-step explanation:

Answer:

im pretty sure it's right angles

Step-by-step explanation:

Answer:

they travel at right angles to each other in a bundle of light energy called a photon.. (probably, not sure)

Answer:

(-3,4)

Step-by-step explanation:

The solution is determined by looking at the coordinates of the point of intersection of the two lines

Answer:

The answer is false and is not

Explanation:

Given the equation - [tex]4x+12=4[/tex]

Substitute x = 2 in the equation

[tex]4(2)+12=4\\8+12=4\\20=4[/tex]

Thus, the equation is false. When the equation is false, meaning that the coordinate x-term isn't passed by the line. (Rather say that the point is not the part of the graph.)

The equation is false is our first answer.

If the equation is false, that means the given value is not part of the graph, thus making the x-value not the solution.

Answer:

The equation is FALSE when x=2, so 2 IS NOT a solution.

Answer:

The order is

Sherry >> Rachel>>Bobby

Step-by-step explanation:

Step one:

We want to find the smallest unit rate

given data

1. Bobby fills his bucket at a rate of 3/4 gallon in 2 minutes.

unit rate

=3/4/2

=3/4*1/2

=3/8

=0.375 gallons per minute

2. Rachel can fill her bucket at 1/5 gallon in 1/2 minute.

unit rate

=1/5/1/2

=1/5*2/1

=2/5

=0.4 gallons per minute

3.  Sherry can fill 3/8 gallon in 3/4 minute.

unit rate

=3/8/3/4

=3/8*4/3

=12/24

=0.5 gallons per minute