How many days of milking will it take to get enough milk to make all this cheese?

A recursive definition for the set S can be given as follows:

What is recursion?

Recursion is a programming technique where a function calls itself to solve a problem.

Base case: (1, n) is in S for all positive integers n, since 1 is a factor of all positive integers.

Recursive case: If (a, b) is in S, then (a', b) is in S for all positive integers a' that are factors of a, and (a, b') is in S for all positive integers b' that are multiples of b.

In other words, the set S contains all pairs (a,b) where a is a positive integer that divides b, and b can be obtained by multiplying any such a with another positive integer. The base case includes all pairs where a=1 and b is any positive integer.

The recursive case states that if (a,b) is in S, then all pairs where a' is a factor of a and b is a positive integer such that b=a'b are also in S, as well as all pairs where b' is a multiple of b and a is a positive integer that divides b'.

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Answer:

15

Step-by-step explanation:

When you see something like f (18), this means 18 needs to be plugged in for x

let's plug in 18

f (18) = \(\frac{2}{3} (18) + 3\)

Let's solve

(18 × 2) ÷ 3 = 12

12 + 3 = 15

f (18) = 15

Step-by-step explanation:

we have the points

A (0, 0)

B (-2, 3)

the distance between 2 points is the Hypotenuse of a right-angled triangle, where the x and y coordinate differences are the legs.

that allows us to use Pythagoras to calculate the distance (the length of the Hypotenuse).

distance² = (0 - -2)² + (0 - 3)² = 4 + 9 = 13

distance = sqrt(13) = 3.605551275... ≈ 3.6

Answer:

2.8 > 2.8< i think

Step-by-step explanation:

Answer:

c. P 2.40

Step-by-step explanation:

P 100 spent, 50 pieces made. Therefore P2 a piece. 20% of P2 is .40. Therefore total is 2 + .40 = P2.40

The probability that a randomly selected point within the square falls in the red shaded square is 1/16

A probability is a number that reflects the chance or likelihood that a particular event will occur. The certainty of an event to occur is 1 and it is 100% in percentage.

Probability = sample space /total outcome

sample space is the area of the red shaded square and the total outcome is the big square.

Area of red shaded square = 1 × 1 = 1unit²

area of the big square = 4 × 4 = 16 units²

Therefore the probability that a point selected falls on the red shaded square

= 1/16

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Answer:

542.592

Step-by-step explanation:

3.14 x 8 squared + 3.14 x 8 x 13.6

Answer:

A) 310 cm²

Step-by-step explanation:

The surface area is the area of the two-dimensional surfaces of this three-dimensional figure.

Start by multiplying each 5x4 rectangle. There are four of them that are visible from the front.

Now, find the surface area of the large rectangle in the back and the left side of the figure.

Find the surface area of the top of this figure.

Find the surface area of the bottom of this figure (it's the same as the area of the top).

Add all of the surface areas together to find the total surface area of the figure.

the height of a binary tree is the number of edges in the longest path from the root to a leaf.The best-case height of a binary tree with seven nodes is 3.

A binary tree is a type of tree structure consisting of nodes that are connected by edges. The number of edges in the longest path from a binary tree's root to a leaf determines the tree's height.In the best-case scenario, the binary tree is perfectly balanced and each node has exactly two children. With seven nodes, the best-case height is three because each node has two children and three edges connect the root node to the leaves. This means that the longest path from the root to a leaf is three edges, resulting in a height of three.

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Answer:

Your answer is

1/2 <x<8

as per triangular rules

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Yes, quadrilaterals ABCD and EFGH are similar because a translation of (x + 1, y + 3) and a dilation by the scale factor of 3 from point D′ map quadrilateral ABCD onto EFGH.

The properties of quadrilaterals are;

From the information given, we can see that;

ABCD and EFGH are similar because a translation of (x + 1, y + 3) and a dilation by the scale factor of 3

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Answer:

65.4°

Step-by-step explanation:

According to question

The equation is

Cos(x)=5/12

x=acos(5/12)

x=65.4°

Answer:

Profit, increase, and income are all examples of words that mean positive. A negative number is a number that is less than zero. It is always written with a - symbol in front of it. A loss is written with a negative number

Hope this helps

Answer:

To mathematically prove that Marc hit the ball near the top of the tower, he could use the equation h(x) = -16x^2 + 120x, where h is the height of the ball and x is the number of seconds the ball is in the air.

First, Marc would need to determine the maximum height the ball reached during its flight. This can be found by using the vertex formula, which is x = -b/2a. In this case, a = -16 and b = 120, so x = -120/(2*-16) = 3.75 seconds.

Next, Marc can substitute this value back into the original equation to find the maximum height the ball reached. h(3.75) = -16(3.75)^2 + 120(3.75) = 135 feet.

Since the tower is 300 feet tall, Marc could conclude that if the ball hit near the top of the tower, it would have reached a height close to 300 feet. Since the ball reached a maximum height of 135 feet, it is unlikely that it hit the top of the tower.

However, this calculation assumes that the tower is directly in line with Marc's shot and that the ball did not have any horizontal movement. In reality, the tower could have been to the left or right of the shot, and the ball could have had some horizontal movement, which would affect its height at impact. Therefore, this calculation can only provide a rough estimate and cannot definitively prove whether or not the ball hit near the top of the tower.

Answer:

i don't known

Step-by-step explanation:

and your school is opened or not

The equation of the circle with the given parameters is (x-3)² + (y-1)² = 2.

We need to find the equation of the circle.

We know that the general equation for a circle is ( x - h )² + ( y - k )²= r², where ( h, k ) is the centre and r is the radius.

Let centre O be (a,b).

(a-2)² + (b-2)² = (a-4)² +b² , Or, a-b = 2

Means centre is (b+2, b)

Distance of centre from x-y=0 is 2/√2 = √2 =radius

Distance between centre and (4,0) = Also radius

(b-2)² +b² = 2 or, b² -2b +1= 0 or b = 1,

So centre is (3,1) and the equation of the circle is (x-3)² + (y-1)² = 2.

Therefore, the equation of the circle is (x-3)² + (y-1)² = 2.

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Answer

The answer is C

Explanation:

1.2 divided by 4 = 0.3

2.4 divided by 8 = 0.3

3.9 divided by 13 = 0.3

**hope this helps.... brainly please if possible

Answer:

y = x - 19

Step-by-step explanation:

Slope intercept form of a line is y = mx + b.

To find slope we use the formula \(\frac{y_2-y_1}{x_2-x_1}\)

Now, to find the y-intercept we take the values of a point and plug them into our equation so far.

Therefore, the answer is y = x - 19.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

Answer:

$4000

Step-by-step explanation:

20000x0.08=1600

1600x10=16000

20000-16000=4000

Answer:

$8687.76

Step-by-step explanation:

100-8=92

20,000*0.92=18400 (This is after one year)

20,000*0.92^10= 8687.7690 (After 10 years)

Answer:

10,000

Step-by-step explanation:

because 10 times 10 is 100 times 100 equals the answer

sry if i get it wrong  have a great day

Answer:

10 to the fourth power 10^4

Step-by-step explanation:

Evaluation of E(x+y+z)dV where E is the solid in the first octant that lies under the paraboloid  z = 4 - x² - y² is \(\frac{128}{15} + \frac{8\pi}{3}\)

Cylindrical coordinates are a set of three coordinates used to locate a point in the cylindrical coordinate system.

When the polar coordinates are extended to a three-dimensional plane, an additional z coordinate is added.

These three measurements combine to form cylindrical coordinates. The coordinates describe two distances and one angle.

According to the question,

We have to find the area under paraboloid

Given : E is a region that lies under paraboloid  z = 4 - x² - y² and in the first octant.

The intersection of this paraboloid with the xy plane will give z = 0,

z = 4 - x² - y² , z = 0, that is a circle  x² +y² = 4 with radius 2

Therefore , 0 ≤ z ≤ 4 - r²

Therefore, the region E in cylindrical coordinates is

\(E = ( r , \theta , z ) | 0 \leq \theta \geq \frac{\pi}{2} , 0 \leq 4 \geq , 0 \leq z \geq 4 - r^2\)

f(x , y ,z ) = x + y + z

=> f(x , y ,z ) = rcosθ + rsinθ + z

=> f(x , y ,z ) = r(cosθ + sinθ) + z

Integration ,

\({\int \int \int }\limits_E {z} \,dv\)

=> \(\int\limits^{\frac{\pi}{2}}_0 \int\limits^{2}_0 \int\limits^{4 - r^2}_0 {[r ( cos \theta + sin \theta) + z] r \, dzdrd\theta\)

simlifying,

\(= \int\limits^{\frac{\pi}{2}}_0 \int\limits^{2}_0 \int\limits^{4 - r^2}_0 {[r^2 ( cos \theta + sin \theta) + rz] \, dzdrd\theta\\= \int\limits^{\frac{\pi}{2}}_0 \int\limits^{2}_0 [r^2 ( cos \theta + sin \theta)z + r\frac{z^2}{2}] \, drd\theta\)

=> \(\int\limits^{\frac{\pi}{2}}_0 \int\limits^{2}_0 [(4r^{2} - r^{4})( cos \theta + sin \theta) + \frac{r(4 - r^2)^2}{2}] \, drd\theta\)

=> \(\int\limits^{\frac{\pi}{2}}_0 [(\frac{4}{3} r^{3} - \frac{r^{5}}{5})( cos \theta + sin \theta) + \frac{(4 - r^2)^3}{12}]^{2}_{0} \, d\theta\)

Putting the limit and solving,

=> \(\int\limits^{\frac{\pi}{2}}_0 [(cos \theta + sin\theta )\frac{64}{15} + \frac{16}{3} \theta ]\, d\theta\)

=> \([(sin\theta - cos\theta )\frac{64}{15} + \frac{16}{3} \theta ]^\frac{\pi}{2} _0\)

Evaluating the limits,

\(\int\int\int\limits_E {x + y +z } \,dV = \frac{128}{15} + \frac{8\pi}{3}\)

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Answer:

96:144

Step-by-step explanation:

Since there are 240 students and the known value is 96 students buying lunch, you simply subtract the two numbers.

240 - 96 = 144

There are 144 students bringing bag lunch.

The ratio is asking students purchasing  lunch to students bringing a bag lunch, which would be 96:144

The simplified answer is 2:3

To get this, divide 144 by 96

This, in turn, would give you in answer of 3/2 which can be inversed to get the right answer

Answer:

15(\(\frac{458}{15}\)+b) or

15(b+\(\frac{458}{15}\))

Step-by-step explanation:

First we can subtract the 4.

458 + 15b

Now we need to find the GCF, but they do not share any kinds of factors together. This might look ugly, but it is what it is. We factor out 15 to get b by itself.

15(\(\frac{458}{15}\)+b) or

15(b+\(\frac{458}{15}\))

The inequality that represents the value of x is (b)  x > 80

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

The figure

The general rule is that

The larger the side length, the larger the angle opposite it

using the above as a guide, we have the following:

1/8x > 10

So, we have

x > 80

Hence, the inequality is x > 80

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Answer:

Step-by-step explanation:

From the circle given, the radius is 13 units. Hence;

JS = radius = 13

PJ = 5units

Get PS first using the pythagoras theorem;

JS² = PJ²+PS²

13² = 5²+PS²

169 = 25 + PS²

PS² = 169-25

PS² = 144

PS = √144

PS = 12units

Since RS = 2PS

RS = 2(12)

RS = 24units

Answer:

This is a population

a) Female

Mean : 2.432857143kg

Variance: 0.05162040817kg

Standard deviation: 0.2272012504kg

b) Male

Mean : 2.641428571kg

Variance : 0.03432653062kg

Standard deviation: 0.1852742039kg

Step-by-step explanation:

a. Determine the following descriptive characteristics for the weights of the females: mean, variance, and standard deviation. Is this a sample or population? Again, pay attention to number of decimal places and appropriate units.

a) Female: 2.45 2.57 2.81 2.37 2.01 2.50 2.32

Mean

The formula = Sum of term/ Number of terms

Mean = 2.45 + 2.57 + 2.81 + 2.37 + 2.01 + 2.50 + 2.32/7

17.03/7

= 2.432857143kg

Variance

This is a population

Hence: The formula for Population variance =

= (X - Mean)²/N

Where N = Number of terms = 7

= (2.45 - 2.432857143)² + (2.57 -2.432857143)² + (2.81 -2.432857143)² + (2.37- 2.432857143)²+ (2.01 - 2.432857143)²+ (2.50 - 2.432857143)² + (2.32 - 2.432857143)² /7

= 0.0002938775509 + 0.01880816325 + 0.1422367347 + 0.003951020409 + 0.1788081633 + 0.004508163265 + 0.0127367347/7

= 0.3613428572/7

= 0.05162040817kg

Standard Deviation

Formula = √Variance

= √0.05162040817

= 0.2272012504kg

b. Determine the mean, variance, and standard deviation for the male weights

Male 2.86 2.65 2.75 2.60 2.30 2.49 2.84

Mean

The formula = Sum of term/ Number of terms

= 2.86 + 2.65 + 2.75 + 2.60 + 2.30 + 2.49 + 2.84/7

= 18.49/7

= 2.641428571 kg

Variance

= ( 2.86 -2.641428571)² + (2.65 - 2.641428571)² + (2.75 -2.641428571)² + (2.60 +2.641428571)² + (2.30 - 2.641428571)² + (2.49+2.641428571)² (2.84 + 2.641428571)²/7

= 0.0477734694 + 0.00007346938775 + 0.01178775511 + 0.001716326531 + 0.1165734694 + 0.02293061224 +! 0.03943061226/7

= 0.2402857143/7

= 0.03432653062kg

Standard Deviation

= √Variance

= √0.03432653062

= 0.1852742039kg

The correct answer is C. It is the graph of f(x) translated 11 units to the left.

The correct answer is:

C. It is the graph of f(x) translated 11 units to the left.

When we have a function of the form g(x) = f(x - a), it represents a horizontal translation of the graph of f(x) by 'a' units to the right if 'a' is positive and to the left if 'a' is negative.

In this case, g(x) = f(x - 11), which means that the graph of f(x) is being translated 11 units to the right. However, the answer options do not include this specific transformation. The closest option is option C, which states that the graph of g(x) is translated 11 units to the left.

The graph of f(x) = x is a straight line passing through the origin with a slope of 1. If we apply the transformation g(x) = f(x - 11), it means that we are shifting the graph of f(x) 11 units to the right. This results in a new function g(x) that has the same shape and slope as f(x), but is shifted to the right by 11 units.

Therefore, the correct answer is C. It is the graph of f(x) translated 11 units to the left.

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