Una cooperativa ha envasado 2000l de aceite en botellas de 1,5l y 2l. Sabemos que han utilizado 1100 botellas en total. ¿Cuántas se han necesitado de cada clase?

Answer:

Step-by-step explanation:

To convert the equation r sin theta = 4 to Cartesian coordinates, we use the identities r^2 = x^2 + y^2 and y/x = tan theta. Substituting r sin theta = 4 into these identities, we get:

x^2 + y^2 = (r sin theta)^2 = 16

y/x = sin theta/ cos theta = tan theta

Squaring both sides of the second equation and substituting y^2/x^2 = 1 + tan^2 theta, we get:

y^2/x^2 = 1 + (y/x)^2

x^2 + y^2 = 16(1 + (y/x)^2)

Simplifying this equation, we get:

x^2 + y^2 = 16 + 4y^2/x^2

Multiplying both sides by x^2, we get:

x^2 y^2 + y^2 = 16x^2 + 4y^2

Bringing all the terms to one side, we get:

x^2 y^2 - 16x^2 = 3y^2

This is the Cartesian equation of the curve. To describe the curve, we can rewrite this equation as:

y^2/x^2 - 16/x^2 = 3

This is the equation of a hyperbola with center at the origin, vertical axis, and asymptotes given by y/x = ±4/sqrt(3).

It is true that the existence of two local maxima does not guarantee the presence of a local minimum. It is possible for a function to have multiple local maxima and no local minimum.

For example, consider the function f(x,y) = x^4 - 4x^2 + y^2. This function has two local maxima at (2,0) and (-2,0), but no local minimum. Therefore, the statement "if f(x,y) has two local maximal, then f must have a local minimum" is false. The presence or absence of local maxima and minima depends on the behavior of the function in the immediate vicinity of a point, and cannot be determined solely based on the number of local maxima. It is possible for a function to have an infinite number of local maxima and minima, or none at all. Therefore, it is important to carefully analyze the behavior of a function in order to determine the presence or absence of local extrema.

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Answer:

Rational

Rational

Rational

Rational

Rational

Irrational

Irrational

Rational

Step-by-step explanation:

First we need to establish what a rational, and a irrational numbers are.  A rational number are basically integers that can be written as fractions which means any of the options that are integers or fractions are in fact rational numbers. A irrational number are basically numbers that cannot be written as a fraction which means things like repeating decimals or just numbers that cannot be expressed as a fraction of two other whole numbers.

First option:

\(-4+23\)

\(-4 + 23=19\)

19 is a rational number because it can be expressed as two integers which are 1 and 19

Second option:

\(\frac{2}{3} +\frac{1}{2}\)

Both are fractions which means the sum will be a fraction which also means it is a rational number since we previously established that every fraction is a rational number.

Third option:

\(-\frac{1}{2} + 12\)

You can write 12 as a fraction which is 12/1 and then solve which the sum will also be a fraction which means it will also be a rational number.

Fourth Option:

\(\frac{2}{5} +15\)

15 can be written as 15/1 which means it is a rational number which also means the sum of the two fractions will also be a rational number.

Fifth option:

Adding fractions, fractions are rational numbers which means the sum will also be a rational number

Sixth option:

Pie is a infinite decimal number which means it is irrational because it cannot be written as a fraction.

Seventh option:

\(\sqrt[]{3} +\frac{5}{8}\)

/3 cannot be written as a fraction which means the entire equation is irrational because a rational plus a irrational number will always equal a irrational number.

Eighth option:

\(3.25+4.17\)

Since how these decimals are not repeating they are both rational numbers.

Hope this helps.

If MSwithin is smaller than MSbetween, then increasing MSwithin and/or decreasing MSbetween will lead to an increase in the F statistic.

The F statistic is calculated by dividing the variance between groups (MSbetween) by the variance within groups (MSwithin). Therefore, to increase the value of the F statistic, either the numerator (MSbetween) needs to increase, or the denominator (MSwithin) needs to decrease.

So, the answer is:

a. MSwithin > MSbetween

If the variance within groups (MSwithin) is reduced or the variance between groups (MSbetween) is increased, the F statistic will increase. Therefore, if MSwithin is smaller than MSbetween, then increasing MSwithin and/or decreasing MSbetween will lead to an increase in the F statistic.

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Answer:

11.2 minutes

Step-by-step explanation:

If the element decreases by 6.1, every minute, it means that the mass lost every minute = 0.061 x 700g = 42.7g

The mass remaining after a minute = 657.30g

The equation that can be used to solve this question is :

700 - 42.7m = 220

m = minutes

Collect like terms

700 - 220 = 42.7m

480 = 42.7m

divide both sides of the equation by 42.7

m = 11.241218 minutes

the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero

Here, the hundredth is less than 5, so zero would be added to 2. the answer is 11.2 minutes

Answer:

18.4

Step-by-step explanation:

I answered the question

Answer:

68

Step-by-step explanation:

ABC AND DBF.

ABC = 4x +1= your answer

Answer:

First

Step-by-step explanation:

I appologize if this is incorrect I'm not sure what graphs you are talking about :)

Answer:

Step-by-step explanation:

Hope this helps u !!

Answer:

7.28011

d=(−7−(−5))2+(−6−1)2−−−−−−−−−−−−−−−−−−−−√

d=(−2)2+(−7)2−−−−−−−−−−−√

d=4+49−−−−−√

d=53−−√

d=7.28011

Answer:

Step-by-step explanation:

distance= root (x2-x1)^2 + (y2-y1)^2

= root (-7+5)^2+(-6-1)^2

= root 4+49

= root 53

= 7.28

Step-by-step explanation:

since f'(x) = 2f(x) and f(3) has no term of x (so, there must be a constant that eliminates x for x = 3), we get

f(x) = x²/9 × c

c = m×e^n

f(1) = 1/9 × m×e^n = 5

=> m×e^n = 45

f(3) = 9/9 × m×e^n = 45

m = 45

n = 0

4×4×4×4×4 = 4 ^ (5)

(1) (2) (3) (4) (5)

4^5 ( )

If you are putting a quadratic function in the form of \(ax^2 + bx + c\) into the quadratic formula \(x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\) and the b value in the function is negative, then you still write it as negative in the quadratic formula.

The reason is that the b term in the quadratic formula is being added or subtracted, depending on whether it is positive or negative.The quadratic formula is used to solve quadratic equations that are difficult to solve using factoring or other methods. The formula gives the values of x that are the roots of the quadratic equation.

The quadratic formula \(x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\) can be used for any quadratic equation in the form of \(ax^2 + bx + c = 0\).

In the formula, a, b, and c are coefficients of the quadratic equation. The value of a cannot be zero, otherwise, the equation would not be quadratic.

The discriminant \(b^2-4ac\) determines the nature of the roots of the quadratic equation. If the discriminant is positive, then there are two real roots, if it is zero, then there is one real root, and if it is negative, then there are two complex roots.

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The average rate of change of f(x) on the interval [5, 5+h] is h + 17.

Given f(x) = x² + 7x, we need to find the average rate of change of f(x) on the interval [5, 5+h].

Formula to find the average rate of change of f(x) on the interval [a, b] is given by:

Average rate of change of f(x) = (f(b) - f(a)) / (b - a)

On substituting the given values in the above formula, we get

Average rate of change of f(x) on the interval [5, 5+h] = [(5 + h)² + 7(5 + h) - (5² + 7(5))] / [5 + h - 5] = [(25 + 10h + h² + 35 + 7h) - (25 + 35)] / h= (10h + h² + 7h) / h= (h² + 17h) / h= h + 17

Therefore, the average rate of change of f(x) on the interval [5, 5+h] is h + 17.

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Answer:

2.5cm

Step-by-step explanation:

1/2*4*7*h=35

h=2.5cm

Answer:

Step-by-step explanation:

the answer is 2.5 cm

1. 312.5 cubic feet of topsoil are required.

2. 375 cubic feet of mulch are required.

3. It will cost $706.50 for the topsoil.

4. The cost of the mulch is about $626.04.

1. To calculate the cubic feet of topsoil needed, we first need to find the volume of the flower garden. The garden can be thought of as a rectangular prism with dimensions 25 feet by 15 feet by 10 inches (converted to feet).

Volume of the garden = Length × Width × Height

                       = 25 ft × 15 ft × (10 in / 12 ft)  [Converting inches to feet]

                       = 25 ft × 15 ft × (10/12) ft

                       = 312.5 ft³

Therefore, you will need 312.5 cubic feet of topsoil.

2. Similarly, to calculate the cubic feet of mulch needed, we consider the volume of the garden with an additional layer of mulch. The height would be 10 inches of topsoil + 2 inches of mulch, or 12 inches (converted to feet).

Volume of the garden with mulch = Length × Width × Height

                                     = 25 ft × 15 ft × (12 in / 12 ft)  [Converting inches to feet]

                                     = 25 ft × 15 ft × (12/12) ft

                                     = 375 ft³

Therefore, you will need 375 cubic feet of mulch.

3. To determine the number of bags of topsoil needed, we need to know the volume of each bag. Given that a bag contains 2 cubic feet of topsoil:

Number of bags of topsoil = Volume of topsoil needed / Volume of each bag

                                  = 312.5 ft³ / 2 ft³

                                  = 156.25 bags

Since you cannot purchase a fraction of a bag, you would need to purchase 157 bags of topsoil.

To calculate the cost, we multiply the number of bags by the cost per bag:

Cost of topsoil = Number of bags × Cost per bag

                      = 157 bags × $4.50 per bag

                      = $706.50

Therefore, the topsoil will cost $706.50.

4. Similar to the previous calculation, the number of bags of mulch can be determined using the volume of each bag. Given that 3 bags are priced at $10, we can calculate the cost per bag:

Cost per bag of mulch = Total cost / Number of bags

                             = $10 / 3 bags

                             = $3.33 per bag (approx.)

Number of bags of mulch = Volume of mulch needed / Volume of each bag

                                = 375 ft³ / 2 ft³

                                = 187.5 bags

Since you cannot purchase a fraction of a bag, you would need to purchase 188 bags of mulch.

To calculate the cost, we multiply the number of bags by the cost per bag:

Cost of mulch = Number of bags × Cost per bag

                    = 188 bags × $3.33 per bag

                    = $626.04 (approx.)

Therefore, the mulch will cost approximately $626.04.

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Answer:

The balance on the loan f(p) = $100 - $20 × p

Step-by-step explanation:

The parameters of the question are;

The loan amount = $100

The amount of monthly payment for the loan = $20

The function rule for the balance of the function f(p) where p is the number of payments is given as follows;

The balance on the loan, f(p) = The loan amount less the total amount paid

The total amount payment Jeania has made = Amount of monthly payment × Number of months paid, p

The total amount payment Jeania has made = $20 × p

∴ The balance on the loan, f(p) = $100 - $20 × p

Which gives;

f(p) = $100 - $20 × p.

Answer:

C) y = 2x + 3

Step-by-step explanation:

In slope intercept form(y = mx + b), b is the y intercept and m is the slope. The y intercept is y variable when the x variable is 0. In the chart, the y-intercept(b) is 3. Slope is identified by the different in y by the difference in x. In this chart the slope is 2. Now plug in the number into slope intercept form( y = 2x + 3).

The explicit rule for the arithmetic sequence for the sequence is a(n) = 3n + 2.

It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

We have given:

\(\rm a_n=3+a_n_-_1\) and

\(\rm a_1=5\)

\(\rm a_n-a_n_-_1= 3\)

The above expression represents the common ratio:

d = 3

First term:

a = 5

The explicit rule for the arithmetic sequence:

a(n) = 5 + (n - 1)3

a(n) = 3n + 2

Thus, the explicit rule for the arithmetic sequence for the sequence is a(n) = 3n + 2.

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The counterclockwise circulation around c is 12 and the outward flux through c is zero.

Green's theorem is a useful tool for calculating the circulation and flux of a vector field around a closed curve in two-dimensional space.

In this case,

we have a field f=(7x−4y)i+(9y−4x)j and

a square curve c bounded by x=0, x=4, y=0, y=4.

To find the counterclockwise circulation, we can use the line integral of f along c, which is equal to the double integral of the curl of f over the region enclosed by c.

The curl of f is given by (0,0,3), so the line integral evaluates to 12.

To find the outward flux, we can use the double integral of the divergence of f over the same region, which is equal to zero since the divergence of f is also zero.

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The best predicted value given that a person has an IQ of 91 is 94.03.

Here, we are given that-

sample size n = 20

sample mean for the independent value x = 100.39

sample mean for the dependent value y = 103.6

coefficient of correlation r = 0.925

The general expression for representing a linear model is given by-

y = β₀ + β₁x

where β₀ is the intercept and β₁ is the slope

For the above given case, the linear model will be given as-

y = -3.34 + 1.07x

where -3.34 is the intercept and 1.07 the slope.

To find the best predicted value when X = 91, we substitute the value of x as 91 in the equation as follows-

y = -3.34 + 1.07(91)

y = 94.03

Thus, the best predicted value given that a person has an IQ of 91 is 94.03.

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Answer:

see explanation

Step-by-step explanation:

let n and n + 2 be 2 consecutive even numbers, then their difference of their squares is

(n + 2)² - n² ← expand factor using FOIL

= n² + 4n + 4 - n² ← collect like terms

= 4n + 4 ← factor out 4 from each term

= 4(n + 1)

Since n and n + 2 are even then n + 1 is odd

So it is always an odd number multiplied by 4

Answer:

less than, more than, more than, more than (in order)

Step-by-step explanation:

It depends on the number you're multiplying to 6 3/4.

For example, for the first one, the equation is 6 3/4 x 1/2.

Since 1/2 is less than 1, the answer will be less than 6 3/4.

Answer:

45.6363636 or 45.6

Step-by-step explanation:

Answer:

answer:it is 45.636

the total amount of money in the account after 6 years is approximately $3,617.08.

What is simple interest?

A quick and simple way to figure out interest on money is to use the simple interest technique, which adds interest at the same rate for each time cycle and always to the initial principal amount. Any bank where we deposit our funds will pay us interest on our investment. One of the different types of interest charged by banks is simple interest. Now, before exploring the idea of basic curiosity in further detail,

a. The formula for the amount A after t years, with an initial principal P, an annual interest rate r, and n times compounded per year is given by:

\(A = P(1 + r/n)^nt\)

In this case, P = $3000, r = 0.025 (2.5% expressed as a decimal), n = 2 (compounded semiannually), and t is the number of years. So the function A(t) can be written as:

\(A(t) = 3000(1 + 0.025/2)^2t\)

b. To find the total amount of money in the account after 6 years, we need to evaluate A(6):

\(A(6) = 3000(1 + 0.025/2)^{(16)\)

≈ $3,617.08

Therefore, the total amount of money in the account after 6 years is approximately $3,617.08.

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Answer:

1) b

2) c

3) d

4) a

Step-by-step explanation:

divide!

Answer:

8+n^2

Step-by-step explanation:

Answer:

f(n+1)=(f[n]-1)^2, where f(1)=8

Step-by-step explanation:

"it appears your explanation includes a link" so you don't get an explanation

Answer:

9 x n + 3

Step-by-step explanation:

more info needed for the question

Answer:

13.6

Step-by-step explanation:

68(km on map)/5(the cm-km)=13.6