Can someone Solve this please !

The fencing needed to keep our rabbits is approximately 44 meters

Given that a circle garden has an area of 25π and the radius is increased by 2 meters and fencing is sold only in one meter section. We need to find how much fencing is needed to keep our rabbits.

Step 1: Area of a circle is given by:

A = πr²

where

r is the radius of the circle garden.

So, the area of circle garden with radius r is given by:

25π = πr²

Dividing both sides by π,

we get:

r² = 25r = ± 5

The radius cannot be negative.

So, r = 5 m

Step 2: When the radius is increased by 2 m, the new radius is:

r + 2 = 5 + 2

= 7 m

Step 3: The length of fencing required will be equal to the circumference of the new circle with radius 7 m.

Circumference of the new circle with radius 7 m is given by:

C = 2πr

= 2π(7)

≈ 43.98 m

Therefore, the fencing needed to keep our rabbits is approximately 44 meters.

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5. 24 hours over 7 days (Because 1 day = 4 hrs)

6. 16 limes over 2 bags (1 bag = 8 limes)

7. 54 cups over 9 boxes (6 cups = 1 box)

8. 27 meters (or minutes) over 3 seconds (9 meters over 1 second)

9. 36 lbs over $24 ($1 = 1.5lbs)

The probability that the teacher chooses all four girls is approximately 0.048, or 4.8%.

To find the probability of choosing all four girls, we need to determine the total number of ways to choose four students from the group of boys and girls, as well as the number of ways to choose four girls.

The total number of ways to choose four students from a group of 6 boys and 7 girls is given by the combination formula:

C(13, 4) = 13! / (4!(13-4)!) = 715

The number of ways to choose four girls from a group of 7 girls is given by the combination formula:

C(7, 4) = 7! / (4!(7-4)!) = 35

Therefore, the probability of choosing all four girls is:

P(All four girls) = Number of ways to choose four girls / Total number of ways to choose four students

= 35 / 715

≈ 0.048

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Answer:

\( \frac{1}{8} \)

Step-by-step explanation:

there are 8 numbers

we want one of them (number 4)

which is 1 in 8

that is:

\( \frac{1}{8} \)

(a) The approximate value of the integrals using trapezium rule is 7.773.

(b) The approximate value of the integrals using Simpson's rule is 7.789.

(a) The approximate value of the integrals using trapezium rule is calculated as follows;

N = 4 subintervals, so we will have;

[8, 8.5], [8.5, 9], [9, 9.5], and [9.5, 10].

The formula for the trapezium rule is given by;

I = Δx/2 [f(x₀) + 2f(x₁) + 2f(x₂) + 2f(x₃) + f(x₄)]

where;

Δx = (10 - 8) / 4 = 0.5

\(I = \frac{0.5}{2} [(6(8) + 5)^{(1/3)} + 2(6(8.5) + 5)^{(1/3)} + 2(6(9) + 5)^{(1/3)} + 2(6(9.5) + 5)^{(1/3)} + (6(10) + 5)^{(1/3)}]\\\\\)

I = 0.25 [3.75 + 7.64 + 7.78 + 7.9 + 4.02]

I = 0.25[31.09]

I = 7.773

(b) The approximate value of the integrals using Simpson's rule is calculated as follows;

N = 4 subintervals, we also divide the interval [8, 10] into 4 equal subintervals: [8, 8.5], [8.5, 9], [9, 9.5], and [9.5, 10].

The formula for the  Simpson's rule is given by;

I = Δx/3[f(x₀) + 4f(x₁) + 2f(x₂) + 4f(x₃) + f(x₄)]

\(I = \frac{0.5}{3} [(6(8) + 5)^{(1/3)} + 4(6(8.5) + 5)^{(1/3)} + 2(6(9) + 5)^{(1/3)} + 4(6(9.5) + 5)^{(1/3)} + (6(10) + 5)^{(1/3)}]\\\\\)

I = 0.167[3.75 + 15.28 + 7.78 + 15.81 + 4.02 ]

I = 0.167[46.64]

I = 7.789

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Answer:

b

Step-by-step explanation:

The absolute maximum of the function on the given interval is at x = 7, and the value is f(7) = 4^(3/4).

To determine the location and value of the absolute extreme values of the function f(x) = (x-3)^3/4 on the interval [-7, 7], follow these steps:

1. Find the critical points by taking the derivative of the function and setting it to zero.
2. Evaluate the function at the critical points and the endpoints of the interval.
3. Compare the function values to determine the absolute maximum and minimum.

Step 1: Find the critical points.
f(x) = (x-3)^(3/4)
f'(x) = (3/4)(x-3)^(-1/4)

Set f'(x) = 0
(3/4)(x-3)^(-1/4) = 0

There is no solution for x, so there are no critical points.

Step 2: Evaluate the function at the endpoints of the interval.
f(-7) = (-7-3)^(3/4) = (-10)^(3/4) = 10^(3/4) * (-1)^(3/4)
f(7) = (7-3)^(3/4) = 4^(3/4)

Step 3: Compare the function values.
f(-7) = 10^(3/4) * (-1)^(3/4)
f(7) = 4^(3/4)

Since (-1)^(3/4) is a complex number and f(7) is a real number, the absolute maximum occurs at x = 7.

The absolute maximum of the function on the given interval is at x = 7, and the value is f(7) = 4^(3/4).

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The repeated measures studies require fewer subjects than matched subjects studies with the same number of outcomes is that repeated measures designs reduce intersubject variability.

In repeated measures studies, each participant is measured multiple times under different conditions or treatments.

Whereas, In a matched-subjects study, each participant in the treatment group is compared to participants in the control group.

Intersubject variability can be large, and differences between treatment and control groups may be attributed to differences in these individual characteristics.

However, in a repeated-measures design, each participant served as its own control, reducing inter-subject variability.

This makes it easier to recognize differences in treatment conditions and can increase effect sizes.

Therefore, a repeated measures study may require fewer subjects to achieve the same statistical power as a matched subjects study with the same number of outcomes.

However, it is important to note that repeated measures designs may have their own limitations:  Potential Order Effect or Practice Effect.

These limitations should be carefully considered when designing a study, and an appropriate design should be chosen based on the research question and the nature of the data.

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Answer:

120

Step-by-step explanation:

if 4 is the height, 6 is length and 20 is with, than it would be an area of 120 we get this by multiplying length times with, or 6 times 20. Hope this helped :D

Since reflecting the points C, B, A, L, and K across line DJ maps these points onto E, F, G, H, and I, respectively, the opposite angles BAL and FGH are congruent. Since reflecting the points L, K, J, I, and H across line AG maps these points onto B, C, D, E, and F. respectively, the opposite sides AB and AL. CE and KI and GF and GH are congruent.

Congruent:

Congruent angles refers the two or more angles that are identical to each other. And the measure of these angles is equal to each other.

Given,

For the figure shown, point D is a midpoint of CE, and point J is a midpoint of KI.

Here we need to find the find the corresponding missing angles of the given statement.

According to the diagram, we have some angles and from these angles we have to find that the opposite angles that are congruent.

Here we know the opposite side of AB

And with GF angle which angle are congruent

And we also know that the two angles are which are opposite to each other.

Therefore, from a given diagram it is very clear that The angles which are congruent with each other is BAL and FGH. Because there positions are perfectly opposite and same to each other.

Here the opposite side of AB is AL because it is present at opposite position to each other.

And also for the angles with GF angle GH are congruent angles.

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Answer:

11.1

Step-by-step explanation:

Since x = 4,

2*4 = 8 +3.1 = 11.1

Answer:

11.1

Step-by-step explanation:

2(x) + 3.1

2(4) + 3.1

8 + 3.1

11.1

Answer: x=0

Step-by-step explanation: This is number 9

12=-4(-6x-3)

-4(-6x-3)=12

-4(-6x-3)/-4=12/-4

-6x-3=-3

-6x-3+3=-3+3

-6x/-6=0/-6

x=0

Answer:

Step-by-step explanation:

Q1

A graph which uses horizontal or vertical bars with no gaps to represent data is called bar graph.

Q2

Data plotted against the frequency in a histogram is class interval.

Q3

The data plotted against the frequency in an ogive is cumulative frequency.

Q4

A score of 50 under the column > c.f. with the boundaries 23.5 - 28.5 means 50 students got a score greater than 23.5.

Q5

Mean = 2(2) + 3 + 4 + 7(3) + 10 + 11 + 2(12) / 11

Mean = 4 + 7 + 21 + 21 + 24 / 11

Mean = 77/11

The mean is 7

Q6

The median is the middle term.

The median of the distribution is 7

The correct option is C which is (2x+1)(x+5).

If I dilate a number by 1 half, then I will have to dilate it again by 2, to get the same to the same number.

As per the question statement, I dilate a number by 1 half.

We are required to calculate that by what should I dilate the result, to reverb back to the same number that I started with.

To solve this question, first we need to understand the concept of Dilation.

Here, since our first dilation of the original number, say "x" reduces it by 1 half, that is, x becomes (x/2),

To get back to x, we will need to multiply (x/2) by 2 again.

[(x/2) * 2] = x.

Therefore, I will need to enlarge our result with a multiplication with 2 to get back to our original number.

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Step-by-step explanation:

hope this helps you thank you

\(\boxed{ \sf{Answer}} \)

\( \large{\sf\frac{a + 1}{a - 1} + \frac{ {a - 1}^{2} }{a + 1}} \)

Use the algebraic identities ⟶

Squaring on both the sides

\( {\sf\frac{(a + 1 {)}^{2} + ( {a - 1)}^{2} }{(a - 1)(a + 1)}} \)

\(=\frac{ {a}^{2} + 2a + 1 + {a}^{2} - 2a + 1 }{ {a}^{2} - 1 } \\ = \frac{ {a}^{2} +\bcancel 2a + 1 + {a}^{2} - \bcancel2a + 1 }{ {a}^{2} - 1 } \\ = \frac{ {a}^{2} + {a}^{2} + 1 + 1 }{ {a}^{2} - 1}\)

\(\large\boxed{\sf{⟹\frac{ {2a}^{2} + 2}{ {a}^{2} - 1 }}} \)

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐

By combinatorics there are 35 number of possibilities.

What is combinatorics?

Combinatorics is a stream of mathematics which deals with the study of finite discrete structures. It concerns with the study of permutations and combinations, enumerations of the sets of elements. It often refers to the larger subset of discrete mathematics.

Kathryn has homework assignments in seven subjects. She only has time to do four of them.

We will solve the problem by Combinatorics method.

So in seven subjects she can do only 4.

By Combinatorics the probability will be

                      ₇C₄

In Combinatorics  the formula for ₙCₐ  will be n!/{a!(n-a)!}

Here n= 7 and a= 4

So  ₇C₄ = 7!/{4!×(7-4)!}

            = 7!/(4!×3!)

            = 35

Hence, there are 35 number of possibilities.

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The standard form is 3x² + 8x -9= 0.

We have,

-8x = 3x² - 9

We know that the standard form of Quadratic Equation is

y = ax² + bx + c

Now, writing the given equation in standard form as

0 = 3x² - 9 + 8x

3x² + 8x -9= 0

Thus, the standard form is 3x² + 8x -9= 0.

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Answer:

  (x, y) = (-1, 5)

Step-by-step explanation:

You want to solve this system of equations by substitution.

The idea of substitution means we want to replace an expression in one equation for an equivalent expression based on the other equation.

Here, the second equation gives an expression equivalent to "y", so we can use that expression in place of y in the first equation:

  5x +2(-2x +3) = 5 . . . . . . . . (-2x+3) substitutes for y

  x +6 = 5 . . . . . . . . . . simplify

  x = -1 . . . . . . . . . subtract 6

  y = -2(-1) +3 = 5 . . . . . use the second equation to find y

The solution is (x, y) = (-1, 5).

__

Additional comment

Choosing substitution as the solution method often works well if one of the equations gives an expression for one of the variables, or if it can be solved easily for one of the variables. The "y=" equation is a good candidate for providing an expression that can be substituted for y.

Any equation that has one of the variables with a coefficient of +1 or -1 is also a good candidate for providing a substitution expression.

  4x -y = 3   ⇒   y = 4x -3 . . . . . for example

The attached graph confirms the solution above.

The usual values of dollars earned in Game 2 are in between 40 dollars (lower end) and 60 dollars (upper end), happening at least 95% of the time. In Game 2, where a fair coin is tossed 100 times, the amount of dollars earned is equivalent to the number of Heads that turn up.

The expected value in this game can be calculated as the product of the probability of getting a Head (p = 0.5) and the number of trials (n = 100):

Expected Value = p * n = 0.5 * 100 = 50 dollars

The standard deviation in Game 2 can be calculated using the formula for a binomial distribution:

Standard Deviation = sqrt(n * p * q) = sqrt(100 * 0.5 * 0.5) = 5 dollars

To analyze the "usual" values, we can use the concept of confidence intervals. In this case, we want to find the range of values that occur at least 95% of the time.

The lower end of the usual values can be calculated as the expected value minus 2 standard deviations:

Lower End = Expected Value - 2 * Standard Deviation = 50 - 2 * 5 = 40 dollars

The upper end of the usual values can be calculated as the expected value plus 2 standard deviations:

Upper End = Expected Value + 2 * Standard Deviation = 50 + 2 * 5 = 60 dollars

Therefore, the usual values of dollars earned in Game 2 are in between 40 dollars (lower end) and 60 dollars (upper end), happening at least 95% of the time.

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Answer:

\(5^{-2}\)

Step-by-step explanation:

Primd factorize 25

25 = 5*5 = 5²

\(\sf \dfrac{1}{25}=\dfrac{1}{5^{2}} \\\\= 5^{-2}\)

HINT:

\(\dfrac{1}{a^{m}}=a^{-m}\)

Answer:

It’s c

Step-by-step explanation:

Answer:

Her multiplication

Step-by-step explanation:

Not really an aexplanation

Answer:

Step-by-step explanation:

(3a-7)²=(3a-7)(3a-7)

= 9a²-21a-21a+49

= 9a²-42a+49

Therefore the error in that answer is -42a was replaced with -21a.

Answer:

(3a-7)²=(3a-7)(3a-7)

= 9a²-21a-21a+49

= 9a²-42a+49

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

Given

3x + 2(y - 4) ← substitute x = 10 and y = 7 into the expression

= 3(10) + 2(7 - 4)

= 30 + 2(3)

= 30 + 6

= 36

The Measure of angle A is 120°, Measure of angle C = 120° and the Measure of angle D is 60°

In a parallelogram, opposite angles are congruent. Therefore, if the measure of angle A is 120°, then the measure of angle C is also 120°.

Since angle A and angle C are opposite angles, their adjacent angles are also congruent. This means that the measure of angle B is equal to the measure of angle Z.

Now, let's consider angle D. In a parallelogram, the sum of the measures of adjacent angles is always 180°. Since angle C is 120°, the adjacent angle D must be:

180° - 120°

= 60°.

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The 0.4 in the yellow cell represents the relative frequency of flights that were on time for Airline A.

Option A is the correct answer.

A Relative frequency is a statistical measure that represents the proportion or percentage of a certain category or value in relation to a given set of data.

It is calculated by dividing the frequency of a particular category by the total number of observations in the data set.

We have,

Looking at the table, we can see that the column for Airline A has a total relative frequency of 0.6, which means that 60% of all flights were operated by Airline A.

However, the question asks specifically about the percentage of flights that were on time for Airline A, which is given as 0.4 or 40% in the table.

Thus,

The 0.4 in the yellow cell represents the relative frequency of flights that were on time for Airline A.

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Answer: 26

Step-by-step explanation:

Two Angles are Complementary when they add up to 90 degrees (a Right Angle). Then

∠A + ∠B = 90

∠A =90- ∠B

∠A  = 26

Answer:

The measure of \(\angle A\):

\(\angle A = 26\textdegree\)

Step-by-step explanation:

Since both \(\angle A\) and \(\angle B\) are complementary (Which they both add up to 90°), and you want to find the measure of

Measure of \(\angle A\): unknown

Measure of \(\angle B\): 64°

Finding the measure of \(\angle A\):

\(90 - 64 = 26\)

\(\angle A = 26\textdegree\)

So, the measure for \(\angle A\) is \(26\textdegree\).

The value of angle θ between the vectors is 65.9°.

The angle θ between the vectors u and v can be found using the formula θ = cos⁻¹((u·v)/(|u||v|)), where · represents the dot product and | | represents the magnitude of the vector. Plugging in the given values, we get:

u·v = (2)(2) + (-4)(-2) + (2)(4) = 20
|u| = √(2² + (-4)² + 2²) = √24
|v| = √(2² + (-2)² + 4²) = √24

Thus, θ = cos⁻¹(20/(√24)(√24)) ≈ 65.9°.


To find the angle between two vectors, we can use the dot product formula and the magnitude formula. The dot product of two vectors gives us a scalar value that represents the angle between them. The magnitude formula gives us the length of each vector.

By plugging these values into the formula for the angle, we can solve for θ. In this case, we first found the dot product of u and v by multiplying their corresponding components and summing them up.

Then we found the magnitude of each vector using the Pythagorean theorem. Finally, we plugged these values into the formula and used a calculator to find the final answer.

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