Un olivar tiene 80 olivos. Sesenta de ellos dan, por término medio, 50 kg 4 hg 60 dag 5 g de aceitunas cada uno, y los otros veinte, 53 kg 2 hg 16 dag 5 g. Si el número de litros de aceite que se obtiene es un quinto de los kilogramos de aceituna que se recogen, calcula la ganancia que obtendremos sabiendo que cada litro de aceite se vende a 2,65 € y que en la recolección nos gastamos 860 €.

The new coordinates of the point (5, 2) after rotating counterclockwise about the origin through an angle of 5 degrees are approximately (4.993, 2.048).

To find the new coordinates of the point (5, 2) after rotating counterclockwise about the origin through an angle of 5 degrees, we can use the rotation formula:

x' = x * cos(theta) - y * sin(theta)

y' = x * sin(theta) + y * cos(theta)

Where (x, y) are the original coordinates, (x', y') are the new coordinates after rotation, and theta is the angle of rotation in radians.

Converting the angle of rotation from degrees to radians:

theta = 5 degrees * (pi/180) ≈ 0.08727 radians

Plugging in the values into the rotation formula:

x' = 5 * cos(0.08727) - 2 * sin(0.08727)

y' = 5 * sin(0.08727) + 2 * cos(0.08727)

Evaluating the trigonometric functions and simplifying:

x' ≈ 4.993

y' ≈ 2.048

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The estimated mean amount of money spent per household on internet service each month is $59.95 with confidence interval.

To calculate the estimated mean amount of money spent per household on internet service each month, we first need to find the lower and upper bounds of the confidence interval. The lower bound is $47.45 and the upper bound is $72.45. We then take the average of these two numbers to get the estimated mean. The average of $47.45 and $72.45 is

($47.45 + $72.45) / 2

= $59.95.

Therefore, the estimated mean amount of money spent per household on internet service each month is $59.95.

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Answer:

8b

Step-by-step explanation:

You can factor the b-term out since b-term exists for all terms in the expression. By factoring out, you are basically dividing the factored term off and put it outside of the bracket, thus:

\(\displaystyle{16b-8b=\left(16-8\right)b}\)

Then evaluate and simplify:

\(\displaystyle{\left(16-8\right)b=8\cdot b}\\\\\displaystyle{=8b}\)

there are 210 different ways to give seven different toys to three children if the youngest is to receive three toys and the others two toys each.

We can start by selecting 3 toys for the youngest child. There are 7 choose 3 ways to do this, which is:

(7 choose 3) = 35

After the youngest child has received 3 toys, there are 4 toys remaining. We need to give 2 toys each to the other two children. We can choose 2 toys for the first child in 4 choose 2 ways, which is:

(4 choose 2) = 6

After the first child has received 2 toys, there are 2 toys remaining for the second child.

Therefore, the total number of ways to distribute the 7 toys to the 3 children according to the given conditions is:

35 x 6 = 210

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Notice that the shape of the given wall is that of a Rectangle.

Recall that the area of a rectangle is the product of its side lengths.

The side lengths of the wall are given to be:

• 10 ft

• x (unknown)

Hence, the total area (A) of the wall is:

Hence, an expression for the total area of the wall is 10x.

It is given that the wall is divided into 5 equal sections. Therefore, in order to calculate the area of each section, you need to divide the total area by the number of sections, 5.

Divide the expression for the total area to find the area of each section of the wall:

Hence, an expression for the area of each section of the wall is 2x.

Answers:

The expression for the total area of the wall is 10x. This is gotten by multiplying the given height, 10 ft by the unknown length, x.

To find the area of each section, you need to divide the total area by the number of sections, 5.

An expression for the area of each section of the wall is 2x.

a. To find the average angular velocity, we need to calculate the change in angle over the change in time between t=2.0s and t=3.1s.

Δθ = θ2 - θ1 = (a(3.1) - b(3.1)^2 + c(3.1)^4) - (a(2.0) - b(2.0)^2 + c(2.0)^4)

Δt = t2 - t1 = 3.1 - 2.0 = 1.1

The average angular velocity is:

ω(avg) = Δθ/Δt = ((a(3.1) - b(3.1)^2 + c(3.1)^4) - (a(2.0) - b(2.0)^2 + c(2.0)^4))/1.1

b. To find the average angular acceleration, we need to calculate the change in angular velocity over the change in time between t=2.0s and t=3.1s.

Δω = ω2 - ω1 = ((a(3.1) - b(3.1)^2 + c(3.1)^4) - (a(2.0) - b(2.0)^2 + c(2.0)^4))/1.1 - ((a(2.0) - b(2.0)^2 + c(2.0)^4) - (a(1.0) - b(1.0)^2 + c(1.0)^4))/1.0

Δt = t2 - t1 = 3.1 - 2.0 = 1.1

The average angular acceleration is:

α(avg) = Δω/Δt = (((a(3.1) - b(3.1)^2 + c(3.1)^4) - (a(2.0) - b(2.0)^2 + c(2.0)^4))/1.1 - ((a(2.0) - b(2.0)^2 + c(2.0)^4) - (a(1.0) - b(1.0)^2 + c(1.0)^4))/1.0)/1.1

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As x approaches 0, (5x⁴+8x²)/(3x⁴-16x²) is -1/2.

What is L'Hopital's rule?

L'Hopital's rule which states that if the limit of a function f(x)/g(x) as x approaches a is of the form 0/0 or ∞/∞, then the limit is equal to the limit of the derivative of f(x) divided by the derivative of g(x) as x approaches a.

Here given expression is (5x⁴+8x²)/(3x⁴-16x²)

Here we want to find limit of the function (5x⁴+8x²)/(3x⁴-16x²) as x approaches 0.

Applying L'Hopital's rule,

(20x³+16x)/(12x³-32x)

Now, as x approaches 0, we can evaluate the limit by plugging in x=0 in the above expression. However, plugging in x=0 results in a denominator of 0, which is undefined. This suggests that we should simplify the expression further.

We can factor out x from the numerator and denominator to get:

(5x²+8)/(3x²-16)

Now, plugging in x=0 gives us:

(5(0)²+8)/(3(0)²-16) = 8/-16 = -1/2

So, as x approaches 0, (5x⁴+8x²)/(3x⁴-16x²) approaches -1/2.

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Answer:

4/8

Step-by-step explanation:

7/8 - 3/8 - 4/8

4/8 + 3/8 = 7/8

n = 4/8

hope this helps

Step-by-step explanation:

The perimeter of a polygon is the sum of all of the polygon's sides. Here, a rectangle has 4 sides:

Perimeter of Rectangle

= 2 + (4x - 3) + 2 + (4x - 3)

= (8x - 2)cm.

Answer: 8x-2 cm

Step-by-step explanation:

To find the perimeter of the rectangle, add the length of all sides together.

-----------------------------------------------------------------------------------------------------

Given

(2)+(4x-3)+(2)+(4x-3)

Expand parenthesis

2+4x-3+2+4x-3

Put like terms together

(4x+4x)+(2-3+2-3)

Combine like terms

8x-2

Hope this helps!! :)

Please let me know if you have any questions

Answer:

\(y= 2x + 4\)

Step-by-step explanation:

We are given an equation of \(2x-y+3 =-1\) and we need to put into \(y = mx+b\) form.

First, we subtract 3 on both sides to get the variables all on one side.

\(2x-y+(3 - 3)=(-1 -3)\\\\\)

\(2x-y = -4\)

We need to now isolate y on its own so we subtract \(2x\) on both sides.

\((2x-2x)-y=(-4-2x)\)

\(-y=-2x-4\)

We almost done! We then need to divide the invisible negative on both sides which is a -1.

\(\frac{-y}{-1}=\frac{-2x-4}{-1}\)

\(y=2x+4\)

When we divide the the negatives together, we know that two negatives divided together is a positive. Therefore, we get our answer \(y=2x+4\)

Hoped this helped!

When U = 10, the value of n is 112.604.

We are given that the number n is the algebraic sum of two terms:

Term 1 varies directly as u.

Term 2 varies inversely as U².

Let's denote the first term as k1 u, where k1 is the constant of proportionality.

And let's denote the second term as k2/U², where k2 is another constant of proportionality.

We have,

When U = 2, n = 22.

When U = 8, n = 56.5.

So, Equation 1: n = k1u + k2/U²

Equation 2: 22 = k1(2) + k2/(2)²

Equation 3: 56.5 = k1(8) + k2/(8)²

Let's solve these equations to find the values of k1 and k2.

Equation 2 becomes: 22 = 2k1 + k2/4

Equation 3 becomes: 56.5 = 8k1 + k2/64

To eliminate k2, let's multiply Equation 2 by 64:

1408 = 128k1 + k2

Now we have two equations with two variables:

128k1 + k2 = 1408

8k1 + k2/64 = 56.5

Let's subtract Equation

120k1 = 1351.5

k1 = 1351.5 / 120

k1 = 11.2625

Substituting the value of k1 back into Equation 2:

22 = 2(11.2625) + k2/4

22 = 22.525 + k2/4

k2/4 = 22 - 22.525

k2/4 = -0.525

k2 = -2.1

Now we have the values of k1 and k2:

k1 = 11.2625

k2 = -2.1

Finally, we can find the value of n when U = 10 by substituting these values into Equation 1:

n = k1u + k2/U²

n = 11.2625(10) - 2.1/(10)²

n = 112.625 - 2.1/100

n = 112.625 - 0.021

n ≈ 112.604

Therefore, when U = 10, the value of n is 112.604.

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The lateral surface area of the rectangular prism given in the picture is 36 cm ²

The lateral surface area of a rectangular prism can be found by the formula :

= 2 x height x ( Length + Breadth )

Height = 2 cm

Length = 3 cm

Breadth = 6 cm

The lateral surface area is therefore:

= 2 x 2  x ( 3 + 6 )

= 4 x 9

= 36 cm ²

In conclusion, the lateral surface area is 36 cm ².

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========================================================

Explanation:

There are 1800 students total.

Take 2/5 of this to find the number of girls

(2/5)*1800 = 720 students are girls

Subtract that result from the total to get the number of boys

1800-720 = 1080 students are boys

We'll use this value later, so let A = 1080.

-------------

540 students do not play sports

(5/9)*540 = 300 girls do not play sports.

540-300 = 240 boys do not play sports

Let B = 240

------------

We found that

Therefore,

A-B = 1080 - 240 = 840 boys play sports

Answer:7500

Step-by-step explanation:150x50=7500

Answer:

7500

Step-by-step explanation:

For area, you just do length times width. 150 times 50 equals 7500.

Answer:

( 5, 3/2 )

x = 5

y = 3/2

Step-by-step explanation:

5x - 4y = 19

x + 2y = 8

-------------------

2(x + 2y = 8) = 2x + 4y = 16

----------------------

5x - 4y = 19

2x + 4y = 16

7x = 35

÷7    ÷7

x = 5

-----------------------

x + 2y = 8

5 + 2y = 8

-5          -5

2y = 3

÷2   ÷2

y = ( 3/2 )

I hope this helps!

Answer:

( 5, 3/2 )

Step-by-step explanation:

The subtended arc will be theta times the radius

Therefore, the radian measure of Angle A is:

Domain and Range of the given rational functions are:Given rational function f(x) = 3/(x-1)The denominator of f(x) cannot be zero.x ≠ 1 Therefore the domain of f(x) is {x | x ≠ 1}

The range of f(x) is all real numbers except zero.Given rational function f(x) = (2x)/(x-4)The denominator of f(x) cannot be zero.x ≠ 4 Therefore the domain of f(x) is {x | x ≠ 4}The range of f(x) is all real numbers except zero.Given rational function f(x) = (x+3)/(5x-5)The denominator of f(x) cannot be zero.5x - 5 ≠ 0x ≠ 1 Therefore the domain of f(x) is {x | x ≠ 1}The range of f(x) is all real numbers except 1/5.Given rational function f(x) = (2+x)/(2x)The denominator of f(x) cannot be zero.x ≠ 0 Therefore the domain of f(x) is {x | x ≠ 0}The range of f(x) is all real numbers except zero.Given rational function f(x) = (x^2+4x+3)/(x^2-9)For the denominator of f(x) to exist,x ≠ 3, -3

Therefore the domain of f(x) is {x | x ≠ 3, x ≠ -3}The range of f(x) is all real numbers except 1, -1. Function Domain Rangef(x) = 3/(x-1) {x | x ≠ 1} All real numbers except zerof(x) = (2x)/(x-4) {x | x ≠ 4} All real numbers except zerof(x) = (x+3)/(5x-5) {x | x ≠ 1} All real numbers except 1/5f(x) = (2+x)/(2x) {x | x ≠ 0} All real numbers except zerof(x) = (x^2+4x+3)/(x^2-9) {x | x ≠ 3, x ≠ -3} All real numbers except 1, -1

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Answer:

I promise you the app Math. way will save you it will do it for u and show you where to put it on the graph just download it

Hello!

what value can replace the question mark to make the statement true? 3 2/8 + ? = 7 1/8

Answer:

\(3\frac{7}{8}\) Option B.

Step-by-step explanation:

Rewriting our equation with parts separated

\(= 7+\frac{1}{8}-3-\frac{2}{8}\)

Solving the whole number parts

\(7-3=4\)

Solving the fraction parts

\(\frac{1}{8} -\frac{2}{8} =-\frac{1}{8}\)

Combining the whole and fraction parts

\(4-\frac{1}{8} =3\frac{7}{8}\)

Therefore, the answer is 3 and 7/8

Hope this helps!

If you have any questions please ask!

Hey there!

3 2/8 + x = 7 1/8

13/4 + x = 57/8

x + 13/4 = 57/8

SUBTRACT 13/4 to BOTH SIDES

x + 13/4 - 13/4 = 57/8 - 13/4

SIMPLIFY IT!
x = 27/8

x = 3 7/8

Therefore, your answer is: x = 3 7/8

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

e) The test statistic and P-value for the chi-square test of homogeneity would be -1.75 and 0.004, respectively.

A chi-square test of homogeneity is a useful tool for comparing two or more categorical variables. In this case, the two variables are smoking (smokers and non-smokers) and alcohol consumption (those who had consumed alcohol in the past week and those who hadn't).

The chi-square statistic is calculated by finding the difference between the observed and expected frequencies of the two groups and squaring it. The expected frequencies are found by multiplying the sample size by the overall probability of success (in this case, drinking alcohol).

The P-value is then calculated based on the chi-square statistic and the degrees of freedom (in this case, one). In this case, the chi-square statistic is -1.75 and the P-value is 0.004.

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Answer:

7

Step-by-step explanation:

figure the angles and set up the pair

Answer: Cant see or read

Step-by-step explanation:

Answer:

For every 3 tablespoons of cocoa, Nate uses 1 tablespoon of sugar.

Step-by-step explanation:

Since the sugar is halved, the cocoa should be halved as well. 6/2 is 3.

Answer:

420

Step-by-step explanation:

maybe I don't know sorry

Answer:

answer is 420

step by step explanation

The future value of the deposits at the end of 5 years is approximately $6,138.74.

To calculate the future value of the deposits, we can use the formula for compound interest:

FV = P(1 + r/n)^(nt)

Where: FV is the future value

P is the principal amount (initial deposit)

r is the annual interest rate (3% in this case)

n is the number of times interest is compounded per year (quarterly in this case)

t is the number of years

In this case, the principal amount is $1,000, the annual interest rate is 3% (or 0.03), the number of times interest is compounded per year is 4 (quarterly), and the number of years is 5.

Plugging in these values into the formula, we get: FV = $1,000(1 + 0.03/4)^(4*5)

Calculating this, the future value of the deposits at the end of 5 years is approximately $6,138.74.

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The another equivalent expression of total liquid is (x+2)/4.

Expressions that perform similarly but differ in appearance are said to be equivalent expressions. When the same value for the variable is entered, two algebraic expressions that are equivalent will have the same result.

x quarts liquid in the container 3/4 part of liquid is removed

Then remaining liquid in container = X - \(\frac{3}{4}X\)

Then remaining liquid in container = x/4quarts

Another 1/2 quart is poured into container

Then total liquid = \(X-\frac{3}{4}X+\frac{1}{2}\) quarts

total liquid = \(\frac{X+2}{4}\) quarts

So, then the another equivalent expression of total liquid is (x+2)/4.

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Random means in this context is that in the long​ run, a fair die will produce roughly equal amounts of the numbers 1 through 6 when rolled. But for each roll each value 1 through 6 is equally likely.

What is conditional probability?

Conditional probability is a term used in probability theory to describe the likelihood that one event will follow another given the occurrence of another event.

Given, Rolling a fair​ six-sided die is supposed to randomly generate the numbers 1 through 6.

In a fair dice the chance of getting each number is same

Random means here is that in the long​ run, a fair die will produce roughly equal amounts of the numbers 1 through 6 when rolled. But for each roll each value 1 through 6 is equally likely.

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