How would the equation look if you sell 60
liters in one day?

Answer:

22

Step-by-step explanation:

Step-by-step explanation:

2 goes into both 8 and 6

reducing it to 4 and 3 at this stage nothing else apart from 1 can go in 4 and 3

so we have 2x(4x + 3)

The sample means are distributed along the x-axis for a sampling distribution of a sample mean.

A sample mean is an average of a set of data, that can be used to calculate the central tendency, standard deviation and the variance of a data set.

Now,

To learn more about sample mean, refer to the link:https://brainly.com/question/12892403

#SPJ4

Answer:

Step-by-step explanation:

area, perimeter, and volume are different measures used to quantify different properties of geometric shapes. Area measures the amount of space enclosed by a shape in two dimensions, perimeter measures the total length of the boundary of a shape in two dimensions, and volume measures the amount of space occupied by a shape in three dimensions.

Multiplying and simplifying ³√9 . ³√-81 results in -9, as the cube root of -729 simplifies to -9.

Multiplying ³√9 by ³√-81, we obtain ³√(9 * -81), which simplifies to ³√-729.

Since -729 is a perfect cube, we can simplify the cube root. The cube root of -729 is -9 because -9 * -9 * -9 equals -729.

Therefore, the simplified expression is -9. Thus, the result of multiplying ³√9 by ³√-81 is -9.

The cube root of 9 multiplied by the cube root of -81 simplifies to the cube root of -729, which in turn simplifies to -9.

Therefore, the final answer is -9.

Learn more about Expressions click here :brainly.com/question/24734894

#SPJ11

Answer:

-x+4, 4+-x

Step-by-step explanation:

Obtain these answers by moving the X and 4 around and multiplying the equation by -1

Answer:

16

having a hunch ig

Answer:

Average Rate of change = 2

Step-by-step explanation:

Given - A rabbit hops 8 meters in one second. After 7 seconds, the rabbit has hopped 20 meters.

To find - What is the rabbit's average rate of change?

Formula used -

Average rate of change of a function f(x) in an interval [a, b] is \(\frac{f(b) - f(a)}{b - a}\)

Proof -

Given that,

In 1 second - Rabbit hoops 8 meters

In 7 seconds - Rabbit hoops 20 meters

So,

Average Rate of change = \(\frac{20 - 8}{7 - 1}\)

                                         = \(\frac{12}{6}\)

                                         = 2

⇒Average Rate of change = 2

(a) The implicit differentiation of 7x²-y² = 9 is 7x / y.
(b) The explicit differentiation of y' in terms of x is ±(7x / √(7x² - 9)).

(a) Given the equation 7x² - y² = 9, we want to find y' by implicit differentiation.
1: Differentiate both sides of the equation with respect to x.
d(7x² - y²)/dx = d(9)/dx

2: Apply the differentiation rules.
14x - 2yy' = 0 (Here, we used the chain rule for differentiating y^2, i.e., d(y²)/dx = 2y(dy/dx) = 2yy')

3: Solve for y'.
2yy' = 14x
y' = 14x / (2y)
y' = 7x / y

So, the implicit differentiation of y' is 7x / y.

(b) Now, we will solve the equation explicitly for y and differentiate to get y' in terms of x.

1: Solve the equation 7x² - y² = 9 for y.
y^2 = 7x² - 9
y = ±√(7x² - 9)

2: Differentiate both sides with respect to x.
For the positive square root:
y = √(7x²- 9)
y' = d(√(7x² - 9))/dx

Using the chain rule:
y' = (1/2) * (7x²- 9)-¹/² * 14x
y' = 7x / √(7x² - 9)

For the negative square root :
y = -√(7x²- 9)
y' = d(-√(7x² - 9))/dx

Using the chain rule:
y' = -(1/2) * (7x² - 9)^-¹/² * 14x
y' = -7x / √(7x² - 9)

So, the explicit differentiation of y' in terms of x is ±(7x / √(7x² - 9)).

Learn more about implicit differentiation: https://brainly.com/question/24220930

#SPJ11

Step-by-step explanation:

first calculate the area of the two triangles and add them up...calculate the area of the three rectangles on each side add them up...finally add the sum of the rectangles together with the triangle

The total surface area of the triangular prism given in the figure and formed by two triangles and three rectangles is equal to 1176 square centimeters.

Total surface area is the sum of areas of all faces of a given solid. The total surface area is the surface area of all faces of the triangular prism,  which is equal to the sum of the areas of the faces, represented by two triangles of equal area and three rectangles of distinct area:

A = 2 · (14 cm) · (12 cm) + (15 cm) · (20 cm) + (13 cm) · (20 cm) + (14 cm) · (20 cm)

A = 1176 cm²

The total surface area of the triangular prism given in the figure and formed by two triangles and three rectangles is equal to 1176 square centimeters.

To learn more on surface areas, we kindly invite to check this verified question: https://brainly.com/question/2835293 #SPJ5

Therefore , the solution of the given problem of expressions comes out to be (a²b⁴)(ab⁻²) = a³b² with positive exponents.

It is preferable to use shifting integer numbers that can be increasing, reducing, or blocking rather than approximations generated at random. They were only able to assist one another by exchanging resources, knowledge, or answers to problems. A declaration of truth equation may include the justifications, components, and mathematical comments for strategies like extra disapproval, manufacture, and mixture.

Here,

The following exponent properties can be used to condense the equation (a 2 b 4) (ab -2) and express it using only positive exponents:

(a²b⁴)(ab⁻²) = a²⁺¹ b⁴⁻² = a³b²

a³b² is the simplified form of the equation (a²b⁴)(ab⁻²) with positive exponents.

To know more about expressions visit :-

brainly.com/question/14083225

#SPJ1

Answer:

ummmmmmmmmm ok with what?????

NSPL Hotline

Hours: Available 24 hours. Languages: English, Spanish. Learn more

800-273-8255

Here you go :)

The formula to prove is Var(X) = E(X^2) - [E(X)]^2, where Var(X) represents the variance of random variable X, E(X^2) is the expectation of X^2, and E(X) is the expectation of X. The variance is a measure of the spread or variability of a random variable.

To prove the formula Var(X) = E(X^2) - [E(X)]^2, we start with the definition of variance. The variance of a random variable X is given by Var(X) = E[(X - E(X))^2].

Expanding the square term, we have Var(X) = E(X^2 - 2XE(X) + [E(X)]^2).

Now, let's evaluate each term individually. First, we have E(X^2). This represents the expectation of X^2, which is the average value of X^2 over all possible outcomes.

Next, we have -2XE(X). Since -2 is a constant, we can bring it outside the expectation operator, giving -2E(X*E(X)). Simplifying further, we have -2E(X)*E(X), which is -2 times the product of the expectation of X.

Lastly, we have [E(X)]^2, which is the square of the expectation of X.

Putting it all together, we have Var(X) = E(X^2) - 2E(X)*E(X) + [E(X)]^2.

Simplifying further, -2E(X)*E(X) + [E(X)]^2 can be written as -[E(X)]^2.

Therefore, Var(X) = E(X^2) - [E(X)]^2, which proves the desired formula.

Learn more about variance  here:

https://brainly.com/question/17168289

#SPJ11

Answer:

- \(\frac{3}{5}\) i

Step-by-step explanation:

Given

\(\frac{3}{5i}\)

Multiply numerator/ denominator by i

= \(\frac{3i}{5i^2}\) [ i² = - 1 ]

= \(\frac{3i}{-5}\)

= - \(\frac{3}{5}\) i

The approximate change is 1.

What is approximate value?

nearly accurate or precise close but not exact in value or quantity an estimated answer. a rough date.: situated close to one another. leave a rough estimate.

f(x) = x² + 4x - 1

df(x)/dx = 2x+4

f(x+dx) =  f(x)  +[ df(x)/dx ] * dx

f(x+dx) - f(x) = [ df(x)/dx ] * dx

Here, x=3 , dx= 3.1 - 3 = 0.1

f(3.1) - f(3) =  [ df(x)/dx ]  (0.1) = (2x+4) (0.1)

                                             = 10*0.1 = 1

Thus, approximate change is 1

To learn more about the approximate from the given link

https://brainly.com/question/14668333

#SPJ4

Answer:

x + 600 ≥ 2400

Step-by-step explanation:

Given:

Amount needed = $2,400

Amount they had = $600

Find:

Amount they need

Computation:

Assume;

Amount they need = x

x + 600 ≥ 2400

For the given square column with a size of 400 mm × 400 mm and an unsupported length of 5.0 m, restrained in position and direction, carrying a service axial load of 1200 kN, the required number of 20 mm diameter rebars is 5.

To determine the required number of rebars for the given square column, we need to consider the column's cross-sectional area, the spacing between the rebars, and the area of a single rebar.

1. Calculate the cross-sectional area of the column:
  The cross-sectional area of a square column can be calculated by multiplying the length of one side by itself. In this case, the column size is given as 400 mm × 400 mm. To convert it to square meters, divide by 1000. Thus, the cross-sectional area of the column is (400 mm ÷ 1000) × (400 mm ÷ 1000) = 0.16 m².

2. Calculate the required area of steel reinforcement:
  The percentage of steel reinforcement required is typically specified based on the concrete grade and the column's dimensions. For M20 concrete grade, the minimum steel reinforcement percentage is 0.85% of the cross-sectional area of the column. Therefore, the required area of steel reinforcement is 0.85% × 0.16 m² = 0.00136 m².

3. Calculate the area of a single rebar:
  The area of a rebar can be calculated using the formula A = πr², where A is the area and r is the radius. The diameter of the main bar is given as 20 mm. Therefore, the radius is half the diameter, which is 10 mm. Convert it to meters by dividing by 1000: 10 mm ÷ 1000 = 0.01 m. Using the formula, the area of a single rebar is π × (0.01 m)² = 0.000314 m².

4. Calculate the number of rebars required:
  Divide the required area of steel reinforcement by the area of a single rebar to find the number of rebars needed. In this case, 0.00136 m² ÷ 0.000314 m² ≈ 4.34. Since we cannot have a fraction of a rebar, we would round up to the nearest whole number. Therefore, the required number of rebars for this column section is 5.

In summary, for the given square column with a size of 400 mm × 400 mm and an unsupported length of 5.0 m, restrained in position and direction, carrying a service axial load of 1200 kN, the required number of 20 mm diameter rebars is 5.

Know more about cross-sectional area here:

https://brainly.com/question/13029309

#SPJ11

Answer:

f(50) = 31928.24 thousands

Therefore, it means that the US population in year 1850 is 31928.24 thousands

Step-by-step explanation:

Given the function;

f(x)=165.6x^1.345

Where;

f(x) is in thousand and

x is the number of year after 1800

To determine f(50), we will substitute x = 50 into the function of f(x);

f(50)=165.6(50)^1.345

f(50) = 31928.24 thousands

Since f(50) is the US population in year 1800+50 = 1850

Therefore, the US population in year 1850 is 31928.24 thousands

The given function y = 3.28x converts length from x meters to y feet.

To graph the function, we can plot a few points and connect them.

Here are some points that we can plot:

x (meters) y (feet)0 03.28 10.7613.12 42.9456.56 214.5489.14 299.8720 65.6160 524.9340.3048 1

Since y depends on x, x is the independent variable, and y is the dependent variable.

We can see that as the value of x increases, so does the value of y, which means that the graph slopes upward

The domain of a function is the set of all values that the independent variable can take on. Since we can have any positive value of x (in meters), the domain of this function is continuous.

In conclusion, the given function y = 3.28x converts length from x meters to y feet. x is the independent variable, and y is the dependent variable. The graph of the function slopes upward, indicating that as x increases, y also increases. The domain of the function is continuous because x can take on any positive value.

To know more about independent variable visit:

brainly.com/question/32711473

#SPJ11

Answer:

i dont what an ellipse is but here's the answer:

8x + 32y = 121

Answer:

123‐10×40y=0

10×+40y=123

Answer:

slope of line w = - \(\frac{8}{4}\)

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = \(\frac{5}{8}\) x + \(\frac{9}{4}\) ← is in slope- intercept form

with slope m = \(\frac{5}{8}\)

given a line with slope m then the slope of a line perpendicular to it is

\(m_{perpendicular}\) = - \(\frac{1}{m}\) = - \(\frac{1}{\frac{5}{8} }\) = - \(\frac{8}{5}\)

Let's calculate the products and check if they indeed have the same value:

Product of 32 and 46:

32 * 46 = 1,472

Reverse the digits of 23 and 64:

23 * 64 = 1,472

As you mentioned, the products are the same. This phenomenon is not unique to this particular pair of numbers. In fact, it occurs with any pair of two-digit numbers whose digits, when reversed, are the same as the product of the original numbers.

To find two other pairs of two-digit numbers that have this property, we can explore a few examples:

Product of 13 and 62:

13 * 62 = 806

Reversed digits: 31 * 26 = 806

Product of 17 and 83:

17 * 83 = 1,411

Reversed digits: 71 * 38 = 1,411

As for determining if a given pair of two-digit numbers will have this property without actually performing the multiplication, there is a simple rule. For any pair of two-digit numbers (AB and CD), if the sum of A and D equals the sum of B and C, then the products of the original and reversed digits will be the same.

For example, let's consider the pair 25 and 79:

A = 2, B = 5, C = 7, D = 9

The sum of A and D is 2 + 9 = 11, and the sum of B and C is 5 + 7 = 12. Since the sums are not equal (11 ≠ 12), we can determine that the products of the original and reversed digits will not be the same for this pair.

Therefore, by checking the sums of the digits in the two-digit numbers, we can determine whether they will have the property of the products being the same when digits are reversed.

Given statement solution is :- The value of m is -98/9.

The correct answer is A. -98/9.

To determine the value of m in the given system of equations, we need to find the condition under which the system has no solutions.

The system of equations can be written in matrix form as:

css

Copy code

[  9  -7 ]   [ x ]   [ 11 ]

[ 14   m ] * [ y ] = [  6 ]

For this system to have no solutions, the coefficient matrix [ 9 -7 ; 14 m ] must be singular, which means its determinant must be zero.

Determinant of the coefficient matrix:

det([ 9 -7 ; 14 m ]) = (9 * m) - (-7 * 14) = 9m + 98

Setting the determinant equal to zero, we have:

9m + 98 = 0

Solving for m:

9m = -98

m = -98/9

Therefore, the value of m is -98/9.

So, the correct answer is A. -98/9.

For such more questions on Find value m for no solutions.

https://brainly.com/question/13725258

#SPJ8

The logical expression that represents the statement "Despite the fact that it is sunny today, I will bring my umbrella" is (B) s∧m.

The logical expression that represents the statement "Despite the fact that it is sunny today, I will bring my umbrella" is (B) s∧m. This is because the conjunction "and" (∧) is used to connect two statements that must both be true in order for the overall statement to be true. In this case, both s (It is sunny today) and m (I will bring my umbrella) must be true in order for the statement to be true.

To know more about Logical Expression visit:

https://brainly.com/question/30091977

#SPJ11

(B) s∧m, which represents the logical expression for "Despite the fact that it is sunny today, I will bring my umbrella."


The logical operator ∧ (conjunction) connects two propositions and represents the idea of "and." Therefore, s∧m means "It is sunny today and I will bring my umbrella." This is the logical expression that represents the statement given in the question.


To summarize, the correct answer is (B) s∧m, which represents the logical expression for "Despite the fact that it is sunny today, I will bring my umbrella."
Main Answer: The correct logical expression is (B) s∧m.

In the given statement, "Despite the fact that it is sunny today, I will bring my umbrella," both propositions s (It is sunny today) and m (I will bring my umbrella) are true at the same time. The logical expression that represents this is s∧m, which means "s AND m" are both true.

The statement "Despite the fact that it is sunny today, I will bring my umbrella" is best represented by the logical expression (B) s∧m, as it shows that both s and m are true.

To know more about logical visit:

https://brainly.com/question/2141979

#SPJ11

Answer:

go to photo math and it would work

Answer:

23/99

Step-by-step explanation:

anything repeating will have a 9 as the denominator

The company needs to produce and sell more units to break even and start making a profit.

Profit is the difference between total revenue and total cost. Total cost can be divided into variable and fixed costs. Total variable cost (TVC) equals the product of variable cost per unit and the number of units produced.

Thus, we can use the following formula:

Total cost (TC) = TVC + TFC

Where TFC is total fixed costs and TC is total cost.

To calculate profit, we need to know revenue. We can use the following formula to calculate revenue:

Revenue = price per unit (P) × number of units sold (x)

Therefore, the profit function can be calculated as:

P = R - C

where R is revenue and C is cost.

Using the formulas above, we can calculate the profit function as follows:

P(x) = [P × x] - [(VC × x) + TFC]

where P is the price per unit, VC is the variable cost per unit, TFC is the total fixed cost, and x is the number of units produced and sold.

In the given problem, the variable cost is $12.30 per unit and the fixed costs are $98,000. The product sells for $17.98. Therefore, P = $17.98 - $12.30 = $5.68.

Using the profit function, we can calculate the profit for any number of units produced and sold. For example, if 500 units are produced and sold, the profit would be:

P(500) = ($5.68 × 500) - [($12.30 × 500) + $98,000]P(500) = $2,840 - $103,000P(500) = -$100,160

This means that if 500 units are produced and sold, the company will lose $100,160.

This is because the fixed costs are relatively high compared to the profit per unit.

Therefore, the company needs to produce and sell more units to break even and start making a profit.

For more such questions on units, click on:

https://brainly.com/question/18522397

#SPJ8

Answer:

C

Step-by-step explanation:

Answer:

c is right answer... I am sure