If the radius of a circle equals 20 cm find its circumference correct to one decimal place

Answer:

\(\dfrac{1}{2}x-10=-13\)

Step-by-step explanation:

Let x be the unknown number.

Given:

Therefore, the equation is:

\(\boxed{\dfrac{1}{2}x-10=-13}\)

Solving for x

To solve, add 10 to both sides:

\(\implies \dfrac{1}{2}x-10+10=-13+10\)

\(\implies \dfrac{1}{2}x=-3\)

Multiply both sides by 2:

\(\implies 2 \cdot \dfrac{1}{2}x=2 \cdot -3\)

\(\implies x=-6\)

Equation :-

→ (1/2)x - 10 = -13

Solution :-

→ x = -6

Step-by-step explanation:

The equation will be,

→ (1/2)x - 10 = -13

Now the required value of x will be,

→ (1/2)x - 10 = -13

→ (1/2)x = -13 + 10

→ x = -3 × 2

→ [ x = -6 ]

Hence, the value of x is -6.

The null and alternative hypotheses are-

The null and alternate hypothesis must be formulated as two opposed and mutually excluding hypotheses for hypothesis testing.

A specific laptop model's battery has a typical life of more than 9 hours, according to the claim.

For this assertion, we form:

Null hypothesis H₀; μ ≤ 9

Alternative hypothesis Hₐ: μ > 9

The assertion is represented by the alternative hypothesis in this right-tailed test.

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26 * 25 * 24 * 22 = 16,384.

There are 16,384 seven-digit license plates that contain exactly four letters, all of which are distinct. This is because there are 26 possible letters, so the first letter could be any of those letters, and then the second letter has 25 options, and so on until the fourth letter, which has 22 possible letters. So, the total number of combinations is 26 * 25 * 24 * 22 = 16,384.

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Answer:

The correct answer is C.f(x) = √x - a + b.

Step-by-step explanation:

Explanation:

The domain of the function is [b, ∞), which means that the input values (x) must be greater than or equal to b.

The range of the function is (-∞, a], which means that the output values (f(x)) must be less than or equal to a.

Let's check if option C meets these criteria:

For any x in the domain [b, ∞), the value √x - a + b will be greater than or equal to b - a + b = 2b - a, because √x ≥ 0 for all non-negative x. This means that the range of the function will be less than or equal to a if and only if 2b - a ≤ a, which is equivalent to 2b ≤ 2a, or b ≤ a. Since b > 0 and a > 0 by the problem statement, this condition is satisfied.

For any value of f(x) in the range (-∞, a], we can solve for x by rearranging the function: √x = f(x) - b + a. Since f(x) ≤ a, we have f(x) - b + a ≤ a - b + a = 2a - b, which means that √x ≤ 2a - b. Squaring both sides, we get x ≤ (2a - b)^2. Since 2a - b > 0 (because a > b), this condition is satisfied for any value of f(x) in the range (-∞, a].

Therefore, option C is a function that satisfies the given criteria.

Answer:

I thinks

Step-by-step explanation:

Answer:

C. Write the first equation in standard form.

To find a formula for the n-th term of the sequence 11, -18, 127, ..., we need to look for a pattern in the sequence.

The first term is 11, the second term is -18, and the third term is 127. We can see that the sequence alternates between adding and subtracting a multiple of 9. Specifically, the first term is 11 = 10 + 1, the second term is -18 = -20 + 2(9), and the third term is 127 = 120 + 7.

Therefore, we can write the general formula for the n-th term of the sequence as: a_n = 10n + (-1)^n * 2(9) + 7; where n is the position of the term in the sequence (starting from n = 1).

So, the formula for the n-th term of the sequence 11, -18, 127, ... is a_n = 10n + (-1)^n * 18 + 7.

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32-24m

Step-by-step explanation:

\(8(4 - 3m) \\ = 8 \times 4 - 8 \times 3m \\ = 32 - 24m\)

Answer: 32 - 24m

Step-by-step explanation:

Use the Rainbow method by distributing the 8 to everything inside the parentheses.

Distribute the 8 to the 4 (Multiply)

Distribute the 8 to the -3m(Multiply)

-Since there is a variable(m) next to the 3 you would include that m in your answer.

Answer:

The final balance is $4,353.56.

The total compound interest is $1,153.56.

Step-by-step explanation:

C. True, because to use the Law of Sines, at least two sides must be known.

The Law of Sines is a trigonometric rule that relates the sides and angles of any triangle. It states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is the same for all three sides of the triangle.

To use the Law of Sines, at least two sides and the angle opposite one of them (or two angles and one side) must be known.

Therefore, the statement "The Law of Sines can be used to solve triangles where three sides are known" is false, as it is not necessary to use the Law of Sines to solve a triangle where all three sides are known.

In summary, the correct answer is C. True, because to use the Law of Sines, at least two sides must be known.

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1. 1/2

2. The Y axis

3. 1 right and 1 down (1, -1)

Answer:

517

Step-by-step explanation:

the answer is already presented in the screenshot along with an explanation lol

The perimeter of rectangular classroom with its length five times its width is 108 ft.

Rectangle is two - dimensional shape with four sides such that the pair of two opposite sides are equal and parallel to each other.

Given is the width of rectangular classroom which is 9 ft wide. Its length is five times its width. From this, we can write -

Width [W] = 9 ft

Length [L] = 5W = 5 x 9 = 45 ft

The perimeter of rectangle is the sum of the length of its sides. Therefore, the perimeter [P] of the rectangle will be -

[P] = 2(L + W) = 2(9 + 45) = 2 x 54 = 108 ft

Therefore, the perimeter of rectangle with its length five times its width is 108 ft.

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Answer:

3/4

Step-by-step explanation:

up 3 right 4

Answer:

22 and 23

Step-by-step explanation:

To find the answer, you first need to know what the value of √500 is. Using a calculator, you get an answer of 22.361....

As you can see, this number is a little bit higher than 22. The next whole number with no decimal places is 23. Therefore, your answer is 22 and 23 because the actual value of √500 lies in between these two whole numbers.

The parametric equations for the motion of the particle are:

x(t) = 10 cos(2πt/9)

y(t) = 10 sin(2πt/9)

Here, t represents time in seconds, and 2π/9 represents the angular speed of the particle, since it completes one revolution every 9 seconds. The radius of the circle is 10, which is used in the equations for the x and y coordinates of the particle's position at any given time t.

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Answer: option A is correct

Step-by-step explanation:

The given side lengths are

A) 5, 12, 13

B) 4, 4, 8

C) 2, 3, 4

To be able to form a right ange triangle, the given side lengths must be a Pythagorean triple. Pythagorean triple obeys the Pythagorean theorem such that

Hypotenuse² = opposite side² + adjacent side²

Hypotenuse = the longest side

Applying it to the given options,

A) 13² = 5² + 12² = 25 + 144

169 = 169

It forms a right angle triangle

B) 8² = 4² + 4² = 16 + 16

64 ≠ 32

It does not forms a right angle triangle

C) 4² = 3² + 2²

16 ≠ 13

It does not forms a right angle triangle

Answer:

Option A) 5, 12, 13 is a right angle triangle.

Option C) 2, 3, 4 is approximately a right angle triangle.

Step-by-step explanation:

A right angle triangle always follow pythagora's theorem which basically states that the addition of the squares of the two smaller sides must give the square of the largest side.

For option A)

5^2 + 12^2 = 25 + 144 = 169

Square root of 169 is 13, so it's correct.

For option B)

4^2 + 4^2 = 16 + 16 = 32

Square root of 32 is 5.65, which is not equal to 8. This is not a right angle triangle.

For option C)

2^2 + 3^2 = 4 + 9 = 13

Square root of 13 is 3.606, approximately 4. So this is approximately a right angle triangle.

If the answer requires that it must be exact then choose only A, Otherwise, A and C are correct.

Answer:

1- 25

2- im sorry its a hard one lol

3-confusion

Step-by-step explanation:

they count by odd numbers but skips on so instead of 1 3 5 its 1 5

Answer:

1.

A) common difference is 4

B) \(a_{7}\)= 4+ (7-1)4

C) 28

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

The sets represented is {50,70,70,75,75,95,95,100}

The Kid Laroi

Answer:

The answer is B

Step-by-step explanation:

Levi is mine

Answer:

-300

Step-by-step explanation:

Step 1:  Find the amount Elmer's funds decreased after purchasing the rabbits:

Let x represent Elmer's funds.

Since Elmer bought five rabbits for $10 each, he lost $10 5 times.

x - (10 * 5)

x - 50

Thus, Elmer lost (spent) $50 for the 5 rabbits.

Step 2:  Find the amount Elmer's funds decreased after purchasing the  cupboards:

Since Elmer bought four cupboards for $70 each, he lost $70 4 times:

x - (50 + (70 * 4))

x - (50 + 280)

x - 330

Thus, after purchasing the rabbits and cupboards, Elmer lost $330.

Step 3:  Find the amount Elmer's funds increased after finding the twenty-dollar bill:

Since Elmer found a twenty-dollar bill, he gained $20

x - (330 + 20)

x - 310

Step 4:  Find the amount Elmer's funds increased after returning one rabbit:

Since Elmer returned one rabbit, he gained $10:

x - (310 + 10)

x - 300

Thus, Elmer's funds changed totally by -$300.

Putting all the information together, we have:

x - 10 - 10 - 10 - 10 - 10 - 70 - 70 - 70 - 70 + 20 + 10

x - 50 - 280 + 30

x - 330 + 30

x - $300

Answer:

h(-2) = -6, h(a) = 12/a

Step-by-step explanation:

h(-2)

It says that you are supposed to do 12 divided by the number in the parentheses, so you have 12 / -2 = -6.

h(a)

Again, you have to do 12 divided by the number in the parentheses, so you have 12/a.

a. The median number of calls = 55

b. The first and third quartiles, Q1 = 48 and Q3 = 66

c. The first decile and the ninth decile, D1 = 45 and D9 = 71.

d. The 33rd percentile = 52.5

To answer the questions, let's first organize the data in ascending order:

38 40 41 45 48 48 50 50 51 51 52 52 53 54 55 55 55 56 56 57 59 59 59 62 62 62 63 64 65 66 66 67 67 69 69 71 77 78 79 79

(a) The median is the middle value of a dataset when arranged in ascending order.

Since we have 40 observations, the median is the value at the 20th position.

In this case, the median is the 55th visit.

(b) The quartiles divide the data into four equal parts.

To find the first quartile (Q1), we need to locate the position of the 25th percentile, which is 40 * (25/100) = 10.

The first quartile is the value at the 10th position, which is 48.

To find the third quartile (Q3), we need to locate the position of the 75th percentile, which is 40 * (75/100) = 30.

The third quartile is the value at the 30th position, which is 66.

Therefore, Q1 = 48 and Q3 = 66.

(c) The deciles divide the data into ten equal parts.

To find the first decile (D1), we need to locate the position of the 10th percentile, which is 40 * (10/100) = 4.

The first decile is the value at the 4th position, which is 45.

To find the ninth decile (D9), we need to locate the position of the 90th percentile, which is 40 * (90/100) = 36.

The ninth decile is the value at the 36th position, which is 71.

Therefore, D1 = 45 and D9 = 71.

(d) To find the 33rd percentile, we need to locate the position of the 33rd percentile, which is 40 * (33/100) = 13.2 (rounded to 13). The 33rd percentile is the value at the 13th position.

Since the value at the 13th position is between 52 and 53, we can calculate the percentile using interpolation:

Lower value: 52

Upper value: 53

Position: 13

Percentage: (13 - 12) / (13 - 12 + 1) = 1 / 2 = 0.5

33rd percentile = Lower value + (Percentage * (Upper value - Lower value))

                = 52 + (0.5 * (53 - 52))

                = 52.5

Therefore, the 33rd percentile is 52.5.

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From the sequence 2 \(\frac{1}{2}\), 2 \(\frac{1}{3}\), 2 \(\frac{1}{4}\), ..., f(n) can be expressed as 2 + \(\frac{1}{(n+1)}\) where n is the term number in the sequence. Hence, the correct answer is A.

Each term in the sequence is 2 plus a fraction where the denominator is one more than the term number. For example:

In general, the n-th term in the sequence will have the fraction \(\frac{1}{(n+1)}\).

Therefore, the function f(n) that generates this sequence is 2 + \(\frac{1}{(n+1)}\). This function takes an input of n and outputs the corresponding term in the sequence.

This question should be written as:

Given the sequence 2 \(\frac{1}{2}\), 2 \(\frac{1}{3}\), 2 \(\frac{1}{4}\), ....,  what is f (n)?

The correct answer is A.

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Answer:

B

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

I checked it an fits right hope this helps!!

Answer:

X = - 6

Step-by-step explanation:

18x + 30 = 6(2x – 1)

Multiply 6 to 2x and - 1

18x + 30 = 12x – 6  

Subtract 30 on both sides

18x = 12x – 36  

Subtract 12x on both sides

6x = - 36  

Divide by 6 on both sides

X = - 6  

An equation in mathematics known as a differential equation connects a function to its derivatives. It involves the derivatives of one or more unknown functions with regard to one or more independent variables.

We can use the method of precise equations to resolve the differential equation (3x2 + y)dx + (x2y - x)dy = 0 that is presented.

In order to determine whether the equation is precise, we must first determine whether (M)/(y) = (N)/(x), where M = 3x2 + y and N = x2y - x.

We have the following partial derivatives: 

(M)/(y) = 1 and 

(N)/(x) = 2xy - 1

The equation is not accurate because (M)/(y) does not equal (N)/(x).

We must identify an integrating factor in order to make the equation exact. We can calculate it by multiplying 

(M)/(y) by (N)-(N)/(x).

Integrating factor is equal to [(M/y)]. N-(N)/(x) 

= 1 / (2xy - 2xy + 1).

=1

Multiplying the entire equation by the integrating factor, we get:

(3x² + y)dx + (x²y - x)dy = 0

Since the integrating factor is 1, the equation remains unchanged.

Next, we integrate both sides of the equation with respect to x and y, treating the other variable as a constant.

Integrating the first term with respect to x, we get:

∫(3x² + y)dx = x³ + xy + C1(y)

Integrating the second term with respect to y, we get:

∫(x²y - x)dy = x²y²/2 - xy + C2(x)

Combining the two integrated terms, we have:

x³ + xy + C1(y) + x²y²/2 - xy + C2(x) = C

Simplifying, we can write the solution as:

x³ + x²y²/2 + C1(y) + C2(x) = C

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The tensions in each side of the rope will be the same when Nellie Newton hangs at rest in the middle of a clothesline and the lengths of each rope are the same.

When Nellie Newton is in equilibrium, meaning she is at rest and not experiencing any acceleration or movement, the forces acting on her must be balanced. In the case of a clothesline, the tension in each side of the rope contributes to the balancing of forces.

For the tensions to be the same in each side of the rope, the lengths of the ropes must also be the same. This ensures that the forces applied to each side are equal and balanced, resulting in Nellie Newton remaining in a stable position without any net force acting on her.


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