Nick has two pet rabbits. He's Flemish giant rabbit weighs 5 times as much as his Holland lop rabbit.
If Nick's Flemish giant rabbit weighs 11 more pounds than he's Holland lop rabbit, how much does his Flemish giant rabbit weigh?​

Answer:

24 or 12

Step-by-step explanation:

(b)(i)To find the analytical solution to this problem, substitute x(t) = a.eat-b(t²+2t+2) into the given differential equation.dx/dt = 2at.eat-b(t²+2t+2) - b.a.eat-b(t²+2t+2).(2t+2)Thus, the differential equation becomes:2at.eat-b(t²+2t+2) - b.a.eat-b(t²+2t+2).(2t+2) + a.eat-b(t²+2t+2) = 0Now, we can cancel out a.eat-b(t²+2t+2) to get a quadratic equation in t and we can solve for b in terms of a from it.

However, we have to use the initial condition x(0) = 4 to solve for a.b(ii)To use the RK2 method, we need to write the differential equation in first-order form. So, let y1 = x and y2 = x'.

Then, we have:y1' = y2y2' = -2ty1/3 + 1y1(0) = 2y2(0) = 0Using the RK2 method, we can estimate y1 and y2 as follows: k1 = hf(ti, yi)k2 = hf(ti + h, yi + ak1)yi+1 = yi + (1/2)(k1 + k2)where h = 0.5, t0 = 0, and tn = 1, and k1 and k2 are given by:k1 = hf(ti, yi) = hf(ti, (y1i, y2i))k1 = hf(ti, yi) = hf(ti, (y1i, y2i))= (0.5)(yi2) = (0.5)(y2i)k2 = hf(ti + h, yi + ak1) = hf(ti + h, (y1i + k1, y2i + a'k1))= (0.5)(yi2 + 0.5a'(yi2)) = (0.5)(y2i + 0.5a'y2i)y1i+1 = y1i + (1/2)(k1 + k2) = y1i + (1/2)(y2i + 0.5a'(y2i))We can use the above expressions to calculate y1 and y2 at each step of the RK2 method.

Then, we can calculate the true value of x(1) using the analytical solution found in part (i).Finally, we can calculate the true relative error at t=1 using the following formula:(approximate value - true value) / true value(

c)To use the RK2 method, we need to write the third-order differential equation as a system of three first-order equations. Let y1 = x, y2 = x', and y3 = x''. Then, we have:y1' = y2y2' = y3y3' = 2yt/3 - 1Using the RK2 method, we can estimate y1, y2, and y3 as follows: k1 = hf(ti, yi)k2 = hf(ti + h/2, yi + ak1/2)k3 = hf(ti + h/2, yi + bk2/2)k4 = hf(ti + h, yi + ck3)yi+1 = yi + (1/6)(k1 + 2k2 + 2k3 + k4)where h is the step size, t0 is the initial time, tn is the final time, and k1, k2, k3, and k4 are given by:k1 = hf(ti, yi) = hf(ti, (y1i, y2i, y3i))k1 = hf(ti, yi) = hf(ti, (y1i, y2i, y3i))= (h/6)(y2i, y3i, 2yti/3 - 1)k2 = hf(ti + h/2, yi + ak1/2) = hf(ti + h/2, (y1i + k1/2, y2i + a'k1/2, y3i + b'k1/2))= (h/6)(y2i + 0.5a'k1, y3i + 0.5b'k1, 2yt(i + 0.5h)/3 - 1)k3 = hf(ti + h/2, yi + bk2/2) = hf(ti + h/2, (y1i + bk2/2, y2i + b'k2/2, y3i + c'k2/2))= (h/6)(y2i + 0.5b'k2, y3i + 0.5c'k2, 2yt(i + 0.5h)/3 - 1)k4 = hf(ti + h, yi + ck3) = hf(ti + h, (y1i + k3, y2i + c'k3, y3i + d'k3))= (h/6)(y2i + c'k3, y3i + d'k3, 2yt(i + h)/3 - 1)We can use the above expressions to calculate y1, y2, and y3 at each step of the RK2 method.

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the line is tangent because it comes from the outside and touches the outer rim of the circle

Answer:

x-intercept: (2,0)

y-intercept: (0,-4/3)

vertical asymptote: x = -3

Step-by-step explanation:

To find the x-intercepts, we can set f(x) to 0, which is y=0:

2x-4/x+3 = 0

2x-4 = 0

2x = 4

x = 2

To find the y-intercepts, we can set x to 0:

2(0)-4/(0)+3 = y

y = -4/3

To find the vertical asymptote, we can set the denominator equal to 0:

x+3 = 0

x = -3

Answer:

1. -x+12=8 =-x=8-12-= -x=-4 dbs= 4/x

Answer:

Yeah it is D you are correct but not C

\( \leadsto f( \rm x) = - {x}^{2} - 6x + 16\)

\( \\ \\ \)

\( \leadsto f( \rm x) = - {x}^{2} - 8x +6x + 16\)

\( \\ \\ \)

\( \leadsto f( \rm x) = - {x}(x + 8) +2(3x +8) \\ \)

\( \\ \\ \)

\( \leadsto f( \rm x) = {( - x + 2)}(x + 8) \\ \)

\( \\ \\ \)

\( \leadsto f( \rm x) = - {(x + 8)(x + 2)} \\ \)

Answer:

the missing numbers are -1, 3,

Step-by-step explanation:

11-7=4

sooo

-5+4= -1

-1+4=3

Answer: (2,1) (0,-3)

(-5,2) (0,-1) (5,-4)

(0,-4) (2,-2)

(-1,0)

(-3,1) (-2,-4)

(0,3)

Step-by-step explanation:

Answer:

c.141

Step-by-step explanation:

400 quarters is $100.00

100 pennies is $1.00

200 nickles is $10.00

300 dimes is $30.00

The resulting dilated triangle is as attached and it has the coordinates; (2, 4), (4, -2) and (-6, -2).

When a triangle is dilated, it means that each vertex of the figure has it's coordinates multiplied by the scale factor of the dilation. Now, due to the fact that multiplication operation is involved, it means that the original triangle and the dilated triangle are not congruent, as their side lengths are different.

The vertices of the triangle are given as follows:

(1, 2), (2, -1) and (-3, -1).

The dilation has a scale factor of 2, meaning that each coordinate of the vertices will be multiplied by 2 and as such, the coordinates of the dilated triangle are given as follows:

(2, 4), (4, -2) and (-6, -2).

The new triangle is as attached

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The average of the sample ranges for the weight of packages of Skittles is 0.11. So, the correct answer is (e) 0.11.

To find the average of the sample ranges for the weight of packages of Skittles, we first calculate the range for each sample. The range is the difference between the maximum and minimum values in each sample.

Sample 1: Range\(= 3.62 - 3.58 = 0.04\)

Sample 2: Range\(= 3.65 - 3.49 = 0.16\)

Sample 3: Range \(= 3.65 - 3.45 = 0.20\)

Sample 4: Range \(= 3.64 - 3.54 = 0.10\)

Sample 5: Range\(= 3.62 - 3.49 = 0.13\)

Next, we calculate the average of these sample ranges:

A\(verage = (0.04 + 0.16 + 0.20 + 0.10 + 0.13) / 5 = 0.11\)

Therefore, the average of the sample ranges for the weight of packages of Skittles is \(0.11\). So, the correct answer is (e) \(0.11.\)

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Answer:

A. Beggining amount of money

Step-by-step explanation:

y=mx+b

T=75n+300

b=y-intercept

m=slope=rise/run

y-intercept is the starting amount.

where the x is 0 (0,y)

Hope this helps.

american history.

the foramtion of the country, the struggles that took place to found it, the social discourses, the creation of political parties and their impact, the crippling loss native americans experienced, racial disparaging,  societal progress, businesses and the economy, countless societal/political protests and reformations, the epidemics, the wars, the art, the inventions, the environment, the vernacular, the country in all of its stained glory.

The two side lengths of 6 and 3 never meet, which shows that there is no way to construct a triangle in which the sum of the two sides equals the length of the third side.

The rule states that the length of one side of a triangle must be greater than the difference and less than the sum of the lengths of the other two sides.

From the given diagram, we can see that;

sum of length of 6 and length 3 = length of third side which is 9.

6 + 3 = 9

This does not follow the rule of side length of triangle as the length of two sides is equal to the length of the third side.

Thus, the two side lengths of 6 and 3 never meet which shows that there is no way to construct a triangle in which the sum of the two sides equals the length of the third side.

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It can be concluded that -

Given are the questions as shown in the image.

[1] -

Greater is the value of amount of tablespoon of sugar per oz of tea, sweetest it will be.

For table {1}, we can write -

m₁ = (12/18) = 2/3

For table {2}, we can write -

m₂ = 6/16 = 3/8

m₁ = 2/3 = (2 x 8)/(3 x 8) = 16/24

m₂ = 3/8 = (3 x 3)/(8 x 3) = 9/24

m₁ > m₂

Version A of iced tea will be sweetest.

[2] -

Greater is the value of amount of strawberry puree per unit of the total amount of liquid, stronger will be the strawberry flavor.

For Nick -

m₁ = 8/12 = 80/120

For Sam -

m₂ = 12/20 = 72/120

m₁ > m₂

Hence, Nick's claim is true.

Therefore, it can be concluded that -

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Answer:

To represent geometrically √x on a number line:

To represent geometrically √4.5 on a number line:

Draw:

Draw a line perpendicular to AC at point B.

Let O be the midpoint of AC:

\(\implies \sf O=\dfrac{-4.5+1}{2}=-1.75\)

Draw a semicircle with center O and radius OA

\(\implies \sf OA=\dfrac{AC}{2}=\dfrac{5.5}{2}=2.75\)

Let point D be where the semicircle intersects with the perpendicular line

\(\implies \sf BD=\sqrt{AB}=\sqrt{4.5}\)

Draw an arc with center B and radius BD from point D to the number line.

\(\implies \sf BE=\sqrt{4.5}\)

⇒ Point E is \(\sf \sqrt{4.5}\) on the number line.

To represent geometrically √8.3 on a number line:

Draw:

Draw a line perpendicular to AC at point B.

Let O be the midpoint of AC:

\(\implies \sf O=\dfrac{-8.3+1}{2}=-3.65\)

Draw a semicircle with center O and radius OA

\(\implies \sf OA=\dfrac{AC}{2}=\dfrac{9.3}{2}=4.65\)

Let point D be where the semicircle intersects with the perpendicular line

\(\implies \sf BD=\sqrt{AB}=\sqrt{8.3}\)

Draw an arc with center B and radius BD from point D to the number line.

\(\implies \sf BE=\sqrt{8.3}\)

⇒ Point E is \(\sf \sqrt{8.3}\) on the number line.

Answer:

y = 3x+4

Step-by-step explanation:

Hope this helps!

Answer:

y=3x+4

Step-by-step explanation:

y=mx+b

m is the slope

b is the y-intercept

y=3x+4

Answer: -3(a+4) or -3a-12

Step-by-step explanation:

When you simplify, you want to use your order of operations.

-6a-12+3a

-3a-12

-3(a+4)

Answer: −3a−12

Step-by-step explanation:

Distribute:

=(3)(−2a)+(3)(−4)+3a

=−6a+−12+3a

Combine Like Terms:

=−6a+−12+3a

=(−6a+3a)+(−12)

=−3a+−12

I hope you learned your lesson please like me and heart me :)

The measure of the angle indicated is 154 degrees

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

The circle

There are intersecting chords on the circle

Using teh equation of intersecting chords, we have

S = 1/2 * Sum of the intersecting arcs

substitute the known values in the above equation, so, we have the following representation

121 = 1/2 * (? + 88)

So, we have

? + 88 = 242

Evaluate

? = 154 degrees

Hence, the measure of the angle indicated is 154 degrees

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Answer:

D..................

Step-by-step explanation:

Have a nice day

There is no graph provided for reference, but if the graph shows a probability distribution, then the probabilities that are equal to 0.3 would depend on the specific shape and values displayed on the graph.

Without this information, it is impossible to determine which probabilities are equal to 0.3. Based on the given information, the graph represents a probability distribution. To determine which probabilities are equal to 0.3, you would need to analyze the graph (which is not provided). However, I can explain each term:
1. p(5≤x≤8): This represents the probability that x falls between 5 and 8, inclusive.
2. p(x≤3): This denotes the probability that x is less than or equal to 3.
3. p(x≥3): This signifies the probability that x is greater than or equal to 3.
4. p(3≤x≤5): This indicates the probability that x falls between 3 and 5, inclusive.

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The end behaviors of the graph of the function are given by:

as x → −∞, f(x) → ∞

as x → ∞, f(x) → ∞

Thus, this is the required answer.

Solution:

The given polynomial function is of degree 2 (quadratic function).f(x) = ax² + bx + c, Where a, b, and c are real numbers with a ≠ 0.

The quadratic function has the general form: f(x) = a(x - r)(x - s)where r and s are the x-intercepts.

The given x-intercepts are (-2,0) and (2,0) which means that:r = -2 and s = 2.

So, the quadratic function can be written as:

f(x) = a(x - (-2))(x - 2)f(x) = a(x + 2)(x - 2), where a is a non-zero constant.The y-intercept is (0,-4).

We know that the y-intercept occurs where x = 0.

Substituting x = 0 and y = -4 in the quadratic function:

f(x) = a(x + 2)(x - 2)

when x = 0,

y = -4.

-4 = a(0 + 2)(0 - 2)

=> -4 = -4a

=> a = 1

The quadratic function is:

f(x) = (x + 2)(x - 2)

The end behaviors of the graph of the function are given by:

as x → −∞, f(x) → ∞

as x → ∞, f(x) → ∞

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Answer:

2) n > 16

Step-by-step explanation:

Usually, a statement is written as:

If P, then Q

Where P = hypothesis

Q  =  conclusion.

And our statement is:

if 2n - 7 > 25, then n > 16

(We can easily solve the inequality to get the thing in the right:

2n - 7 > 25

2n > 25 + 7 = 32

n > 32/2 = 16

n > 16 )

then:

P = (2n - 7)

Q = n > 16

Then the conclusion is: n > 16

The correct option is 2) n > 16

Answer:

4 x 4 + 5= 21

Step-by-step explanation:

your answer will be

w=16°

X=148°

Step-by-step explanation:

hope it helps you

have a great day!!

Therefore , the solution of the given problem of volume comes out to be the playhouse's volume is 12.5 cubic metres as a result.

The volume of a three-dimensional item, which is measured in cubic units, describes how much room it occupies. Liter and in3 are these signs for cubic measurements. Nonetheless, it is possible to determine an object's measures by estimating its bulk. Usually, the item's weight is transformed into mass quantities like grammes and kilogrammes.

Here,

We must multiply the rectangular prism's length, breadth, and height collectively in order to determine its volume.

=> Capacity is calculated using the formula LWH.

=> Volume = 2.5*2.5 *2 metres.

=> Dimensions: 12.5 cubic metres

The playhouse's volume is 12.5 cubic metres as a result.

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Answer:

9 dollars

Step-by-step explanation:

let x be per mile

the equation for solving this would be 0.5x + 3(flat fee)=amount you have to pay

The x is 12 since you have to go 12 miles

0.5(12)+3=amount you have to pay

6+3=amount you have to pay

$9=mount you have to pay