Answers
The least amount of moves that will get the kangaroos to switch position will be 6 moves.
What is the least amount of moves?It should be noted that to minimize the number of moves required, the kangaroos should try to jump over each other as much as possible.
Here is one possible solution:
Red kangaroo 1 hops over yellow kangaroo 1
Red kangaroo 2 hops over yellow kangaroo 2
Red kangaroo 3 moves one step to the right
Yellow kangaroo 3 moves one step to the left
Yellow kangaroo 2 hops over red kangaroo 2
Yellow kangaroo 1 hops over red kangaroo 1
The loves required in this case will take a total of 6 moves.
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Related Questions
Find the flux of the vector field F(x, y, z) = (3xy, 4(y² + e²²²), (z + sin(xy))) · over the surface S of the solid E bounded by the parabolic cylinder z = 4-², and the planes z = 0, y = 0, y +
Answers
The flux of the vector field F(x, y, z) = (3xy, 4(y² + e²²²), (z + sin(xy))) over the surface S of the solid E, bounded by the parabolic cylinder z = 4-x², and the planes z = 0, y = 0, y + x = 2, is calculated as follows.
Firstly, we need to find the outward unit normal vector to the surface S, denoted by n. Then, we evaluate the dot product of F and n over the surface S. Finally, we integrate this dot product over the surface S to obtain the flux of the vector field.
To calculate the outward unit normal vector n, we consider the surfaces that bound the solid E. These surfaces are given by z = 4-x², z = 0, y = 0, and y + x = 2. By taking the gradient of the surfaces and normalizing the resulting vectors, we determine the outward unit normal vector for each surface.
Next, we evaluate the dot product of the vector field F and the outward unit normal vector n at each point on the surface S. This gives us the flux density at each point. Then, we integrate the flux density over the surface S using a suitable parameterization of the surface.
The final result is the total flux of the vector field F over the surface S, which represents the amount of flow through the surface. The specific numerical value of the flux depends on the exact parameterization of the surface and the limits of integration used in the calculation.
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An angle measures 24° more than the measure of its supplementary angle. What is the measure of each angle?
Answers
Answer:
x = 78°; 102
Step-by-step explanation:
x = the angle
the supplement of angle = (180-x)
x + 24 = (180 -x)
x +24 = 180 -x
x = 156 -x
2x = 156
x = 78
The supplementary angle = 78 + 24 =102°
Find the area of a circle with radius 6 m.
Use the value 3.14 for it, and do not round your answer.
Be sure to include the correct unit in your answer.
Answers
The right answer is 113.04m^2
please see the attached picture for full solution
Hope it helps
2. Adult female Dalmatians have a mean weight of 50 lbs and a standard deviation of 3.3 lbs.Assume the weights are normally distributed.a) Find the z-score of an adult female Dalmatian who weighs 60 lbs.b) Find the Z-score of an adult female Dalmatian whose weight is 30 lbs below the mean.c) Find the weight of an adult female Dalmatian whose weight is 1.75 standard deviationsabove the mean weight.
Answers
ANSWER :
The answers are :
a. 3.03
b. -9.09
c. 55.775 lbs
EXPLANATION :
The z-score formula is :
\(\begin{gathered} z=\frac{x-\mu}{\sigma} \\ \text{ where :} \\ \text{ x = sample weight} \\ \mu\text{ = mean weight} \\ \sigma\text{ = standard deviation} \end{gathered}\)From the problem, we have :
\(\mu=50\text{ }lbs\quad and\quad\sigma=3.3\text{ }lbs\)a. z-score when x = 60 lbs.
That will be :
\(\begin{gathered} z=\frac{60-50}{3.3} \\ z=3.03 \end{gathered}\)b. z-score when x = 30 lbs below the mean, the mean weight is 50 lbs, so it will be x = 50 - 30 = 20
The z-score will be :
\(\begin{gathered} z=\frac{20-50}{3.3} \\ z=-9.09 \end{gathered}\)c. weight when it is 1.75 standard deviations above the mean weight.
Above the mean weight denotes that the z-score is positive.
Substitute z = 1.75 and solve for x :
\(\begin{gathered} 1.75=\frac{x-50}{3.3} \\ 1.75(3.3)=x-50 \\ x=1.75(3.3)+50 \\ x=55.775 \end{gathered}\)
Why don't the expressions 3+5² . 3/ 15 and (3 + 5²) . 3 / 15 yield the same answer?
Answers
The expressions 3+5² . 3/15 and (3 + 5²) . 3/15 do not yield the same answer due to the difference in the order of operations.
In mathematics, the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction), determines the sequence in which mathematical operations are performed.
In the first expression, 3+5² . 3/15, the exponentiation (5²) is performed first, then the multiplication (5² . 3), and finally the division (5² . 3/15). This simplifies to 5² . 3/15 = 25 . 3/15 = 5.
In the second expression, (3 + 5²) . 3/15, the parentheses (3 + 5²) indicate that the addition (3 + 5²) is performed first, followed by the multiplication ((3 + 5²) . 3), and then the division (((3 + 5²) . 3) / 15).
This simplifies to (3 + 5²) . 3/15 = (3 + 25) . 3/15 = 28 . 3/15 = 84/15 = 5.6.
Thus, due to the difference in the order of operations, the two expressions yield different results.
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0.06 is 10 times as much as what
Answers
Answer:
10 times as much of 0.006
Step-by-step explanation:
trust me :)
Answer:
0.006
Step-by-step explanation:
0.06/10=6\10 / 10\1
=6\1 * 1\10
=6*1 \ 100*10
=6\1000
0.006
juan takes a number, adds $2$ to it, multiplies the answer by $2$, subtracts $2$ from the result, and finally divides that number by $2$. if his answer is $7$, what was the original number?
Answers
the original number Juan started with was 6.
Let "x" represent the original number. Juan first adds 2 to the original number, which can be expressed as (x + 2). He then multiplies this by 2, resulting in 2(x + 2). Next, he subtracts 2 from this product: 2(x + 2) - 2. Finally, he divides the resulting number by 2, giving us the equation [(2(x + 2) - 2) / 2] = 7.
Now, let's solve for the original number, x:
1. Simplify the equation by distributing the 2: [2x + 4 - 2] / 2 = 7
2. Combine the constants: (2x + 2) / 2 = 7
3. Multiply both sides by 2 to remove the denominator: 2x + 2 = 14
4. Subtract 2 from both sides: 2x = 12
5. Divide both sides by 2: x = 6
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Lines AB and CD are straight lines. Find x and y. Give reasons to justify your solutions.
Answers
Answer:
Step-by-step explanation:
3x + y + 72 = 180
3x + y = 108 .... (1)
2x + y = 90 ..... (2)
(1) - (2)
x = 18°
y = 54°
Answer:
Step-by-step explanation:
calculate the surface area of the prism below. SA= blank cm^2
please help me!!
Answers
Answer:
144
Step-by-step explanation:
The combined area of the two triangular faces is \((4)(3)=12\) cm².
The area of the back rectangular face is \((3)(11)=33\) cm².
The area of the bottom rectangular face is \((11)(4)=44\) cm².
The area of the slanted rectangular face is \((5)(11)=55\) cm².
Taking the sum of these areas, the total surface area is \(12+33+44+55=144\) cm².
A queen bee has a colony of 2000 drones and 18000 worker bees. 6000 of worker bees forage for pollen and nectar. What part of worker bees are drones ?
Answers
If queen bee has a colony of 2000 drones and 18000 worker bees, One-sixth (1/6) of the worker bees in the queen bee's colony are drones.
The total number of bees in the queen bee's colony is the sum of drones and worker bees. Therefore, we can calculate the total number of bees as follows:
Total number of bees = number of drones + number of worker bees
Total number of bees = 2000 + 18000
Total number of bees = 20000
Out of the total number of worker bees (18000), 6000 are foragers. Therefore, the number of worker bees that are not foragers is:
Number of worker bees that are not foragers = 18000 - 6000
Number of worker bees that are not foragers = 12000
Now we can find the part of worker bees that are drones by dividing the number of drones by the total number of bees that are not foragers:
Part of worker bees that are drones = number of drones / number of worker bees that are not foragers
Part of worker bees that are drones = 2000 / 12000
Part of worker bees that are drones = 1/6
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From midnight to 7:00 am, the temperature dropped 0.8°C
temperature at 7:00 am was 4.4 deg * C what was the temperature at midnight?
Answers
Answer:
5.2
Step-by-step explanation:
add back 0.8 from 7 am temp which is 4.4 degrees.
Answer:
5.2 °C
Step-by-step explanation:
4.4°C + 0.8°C = 5.2°C
Will give brainlist! And 20 points!
factor 12x^3y completely
Answers
Answer:
I don't think 2x^3y cannot be factorised
Alice needs to waterproof her house back deck which is 18 feet by 5 feet the waterproof coating costs $6 for a can that covers 30 square feet how much will the project cost her total
Answers
Answer:
$18
Step-by-step explanation:
back deck = 18 ft. x 5 ft.
water proofing cost = $6 per can
1 can covers = 30 sq. ft.
find:
how much will the project cost her total
number of cans required = area covered = 18 x 5 = 3 cans
area covered per can 30
therefore,
the project will cost
3 cans x $6 per can = $18
PLEASE HELP THIS IS URGENT!!
Answers
Step-by-step explanation:
1 pound is 16 ounces
2 pounds are 16 x2 which is 32 ounces
she needs 20 ounces
32 -20 is 12
she will have 12 ounces left
lily has 12 pages of her book left to read. If she reads 7 pages tomorrow, which equation shows how many pages she has left to read?
1) 12= p x 7
2) 12= p- 7
3) 12= p + 7
4) 12= p/7
Answers
Answer:
2
Step-by-step explanation:
at what rate is the angle between a clock's minute and hour hands changing at 10 o'clock in the evening
Answers
Answer:
Step-by-step explanation:
I guess 6%?
A, B, and C are polynomials, where A = n, B = 2n + 6, and C = n2 – 1. What is AB – C in simplest form?
–n2 + 3n + 5
n2 + 6n + 1
2n2 + 6n – 1
3n2 + 5
Answers
Answer:
n^2 + 6n + 1
Step-by-step explanation:
Firstly, we have to evaluate AB
What we have to do is to multiply A and B
We have this as;
n(2n + 6) = 2n^2 + 6n
Now, we have to subtract the value of C from here and that is;
(2n^2 + 6n) - (n^2 - 1)
2n^2 + 6n - n^2 + 1
= 2n^2 -n^2 + 6n + 1
= n^2 + 6n + 1
Answer:
B
Step-by-step explanation:
what does -5/8 ÷ 12=
I tried -5/96 but it did not work
Answers
Answer:
Its -5/96 in fraction form and −0.052083 repeating in decimal form.
Step-by-step explanation:
Reduce the expression, if possible, by cancelling the common factors.
Answer #2 for me and don't forget to graph the function ! I'm not sure if my Y is correct so let me
Answers
Another name for the natural number is____.
A. The whole numbers
B. The counting numbers
C. The integers
D. The rational numbers
Answers
Answer:
counting numbers is another name
The motives for developing calculus in the 1700s were: A. problems in physics. B. problems in biology. C. problems in psychology. D. problems in computer science. E. problems in economics.
Answers
Answer:
the answer is A
Step-by-step explanation:
I need help please answer correctly
Answers
Answer:
AC
Step-by-step explanation:
Answer:
AC
Step-by-step explanation:
It will be AC :))
hope this helps
Find the volume of the composite solid. 12 m I 8 m 4 m 4 m
Answers
Answer:
1536
Step-by-step explanation:
12 x 8 x 4 x 4
(might be wrong)
can someone help me with this please
Answers
Answer:
(3) is the right answer because 360° - 308° = 52°
Pleaseee help quickkkk
Answers
I have a recipe to make 48 cupcakes. The recipe says that I need 8 eggs . I only need to make 12 cupcakes . how many eggs will I need
Answers
Answer:
you need 32 eggs
Step-by-step explanation:
48 divided by 12=4
8x4=32
Answer:
2 eggs
Step-by-step explanation:
take the 48 and divide by 12 to get the answer, then take the 8 eggs and divide it by the answer you get to the first part, and you will get the amount of eggs.
a model rocket is launched with an initial upward velocity of 175 ft/s the rocket's height is represented by h (in feet) after t seconds is given by the followingh = 175t - 16t^2find all values of t for which the rockets height id 85 feetand i need to round the answer to nearest hundredth
Answers
Given relation between height and time is:
\(h=175t-16t^2\)Now put the value of h=85 ft in given relation:
\(85=175t-16t^2\)Solving it for t:
\(\begin{gathered} 16t^2-175t-85=0 \\ t=\frac{175\pm\sqrt[]{(-175)^2-4\times16\times85}}{2\times16} \\ t=\frac{175\pm\sqrt[]{30625-5440}}{32} \\ t=\frac{175\pm\sqrt[]{25185}}{32} \\ t=\frac{175\pm158.6}{32} \\ t=0.51\text{ or }10.43\text{ second} \end{gathered}\)how to rewrite the function in a different form (factored or vertex) where the answer appears as a number in the equation.
Answers
We can convert the equation of the line in vector form by imposing i cap ,j cap and k cap with direction ratios.
The movement of an object from one place to another is described using vectors. Vectors can be represented as points in a coordinate system in the cartesian system. Similar to this, a "n" tuple can be used to represent vectors with "n" dimensions.
In physics, a vector is a quantity with both magnitude and direction. It is often represented by an arrow whose length is proportional to the magnitude of the quantity and whose direction is the same as that of the quantity. Simply subtract the starting point from the terminal point to determine the vector in component form given the initial and terminal points.
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Graph a quadratic function with a vertex of (3, -7). Type your equation below.
Answers
The quadratic equation can be written in vertex form as:
y = (x - 3)^2 - 7
How to write the quadratic equation?A general quadratic equation with a leading coefficient a and a vertex (h, k) can be written as:
y = a*(x - h)^2 + k
If particularly we take a = 1 (we could take any value here, because the problem doesn't say anything about the leading coefficient).
And the vertex is (3, -7)
Then the quadratic equation can be:
y = (x - 3)^2 - 7
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What is the constant variation of 2x+y=-4?
Answers
Answer:
What is the constant variation of Y =- 2 3x?
The constant of variation, k , is 23 .
What is the constant variation of Y 1 2x?
The constant of variation, k , is 12 .
Step-by-step explanation:
yeet yeet yeet