Help please! I need help

The recursive formula of the arithmetic sequence is:

xₙ = n*4 + 13

With that we can see that x₁₁ = 57

Here we know that the first elements of the sequence are:

17, 21, 25, 29, ...

To find the common difference, d, we take the difference between any two consecutive elements, so we have:

c = 21 - 17 = 4

Then the recursive formula for the n-th term is:

xₙ = n*4 + d

The first element x₁ is 17, so we will have:

17 = 1*4 + d

17 - 4 = d = 13

The recursive formula is:

xₙ = n*4 + 13

b) the eleventh term of the sequence is given by replacing n in the above formula by 11.

x₁₁ = 4*11 + 13 = 44 + 13 = 57

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Anthony and Cleopatra were lying dead on the floor in a villa because they were fishes in the water bowl that might have fallen and broke down.

Since, there was a broken bowl nearby the dead bodies,

it seems like Anthony and Cleopatra were fishes who were in the water in the bowl that broke down.

Since the bowl in which the fishes were, broke down, the water of the bowl spilled and the fishes were no more in water due to which they died. This is the because there was no mark on their body and were neither poisoned.

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Answer: 12

Step-by-step explanation:

We know that , the ceiling function y = [x] is also known as the least integer function that gives the smallest integer greater than or equal to x.

For example : For x= 1.5

y = [1.5] =2

For x= 3.64

y = ⌊3.64⌋=4

The given function :

Then, for x= 5.9 , we have

[since [3.9]=4 (least integer function)]

Therefore, the value of f(5.9) is 12

The value of the function f(5.9) will be 12. The correct option is D.

In mathematics, a function is a rule that assigns a unique output value to each input value in a specified domain. A function is often denoted by a letter such as f, and we write f(x) to represent the output value associated with an input value x.

We know that the ceiling function y = [x] is also known as the least integer function that gives the smallest integer greater than or equal to x.

For example: For x= 1.5

y = [1.5] =2

For x= 3.64

y = ⌊3.64⌋=4

The given function :

Then, for x= 5.9, we have

F[3.9]=4 (least integer function)]

Therefore, the value of f(5.9) is 12.

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Answer:

Step-by-step explanation:

Plot 213, −56, and −312 on the number line.

Answer:

The given differential equation is:

12y" - 12y' + 30y = 0

To find the general solution, we first need to find the auxiliary equation. We assume a solution of the form:

y(t) = e^(rt)

where r is a constant. Differentiating this equation twice with respect to t, we get:

y'(t) = re^(rt)

y''(t) = r^2 e^(rt)

Substituting these into the differential equation, we get:

12r^2 e^(rt) - 12re^(rt) + 30e^(rt) = 0

Dividing both sides by e^(rt), we get:

12r^2 - 12r + 30 = 0

Simplifying this equation by dividing both sides by 6, we get:

2r^2 - 2r + 5 = 0

This is a quadratic equation with complex roots, which are given by the formula:

r = (2 ± sqrt(-4))/4 = (1 ± i√6)/2

Therefore, the general solution to the differential equation is:

y(t) = c1 e^((1+i√6)/2)t + c2 e^((1-i√6)/2)t

where c1 and c2 are constants determined by the initial conditions or boundary conditions of the problem.

Therefore , the solution of the given problem of equation comes out to be c1*e((1/2)*t)*cos((3/2)t) + c2e((1/2)*t)*sin((3/2)*t) = y(t).

The equation y=mx+b serves as the basis for a linear regression model. B is the slope, and m is the y-intercept. The above line is commonly referred to as the "mathematical problems with two variables," even though y and y are distinct components. Bivariate linear equations only contain two variables. The application areas of linear functions do not have clear-cut solutions.

Here,

For the specified differential equation, the auxiliary equation is:

=> 12r² - 12r + 30 = 0

When we multiply both parts by 6, we get:

=> 2r² - 2r + 5 = 0

Given that the discriminant is negative, the solutions of this quadratic equation are complicated:

=> b² - 4ac = (-2) ² - 4(2)(5) = -36

The following are the roots:

=> r = (2 ± √(-36))/(4) = (1 ± 3i)/2

The differential equation has the following general solution:

=> Y(t) = C1E + C2E (R1T) (r2t)

where c1 and c2 are arbitrary values and r1 and r2 are the auxiliary equation's roots.

When we replace the stems, we obtain:

=>  c1*e((1/2)*t)*cos((3/2)t) + c2e((1/2)*t)*sin((3/2)*t) = y(t).

As a result, the differential equation has the following general solution:

=> c1*e((1/2)*t)*cos((3/2)t) + c2e((1/2)*t)*sin((3/2)*t) = y(t).

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Answer:

28

Step-by-step explanation:

Step 1:

1/4x - 5 = 2       Equation

Step 2:

1/4x = 7     Add 7 on both sides

Step 3:

x = 7 ÷ 1/4     Divide

Answer:

x = 28

Hope This Helps :)

Answer:

28

Step-by-step explanation:

I hope this helps!

The variance of the number of heads that come up when a fair coin is flipped 13 times is 3.25

Mathematical representations of the likelihood of an event occurring or of a statement being true are dealt with in the area of probability. An outcome's probability is a number between 0 and 1, where 1 denotes certainty and 0 denotes the event's impossibility.

Here, flipping a coin is a Bernoulli trial, with n =13, with success as getting a head with probability p = 1/2.

We have to find the variance of the number of success in n Bernoulli trials. The variance of the number of successes in n Bernoulli trials is np(1-p).

the variance np  \((1-p)=13\cdot (1/2)\cdot (1-1/2)=13\cdot (1/2)\cdot (1/2)= 3.25\)

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Answer:

25

Step-by-step explanation:

The number that corresponds to the null hypothesis and the alternative hypothesis will be 3 and 6 respectively.

Specify the correct number from the list below that corresponds to the appropriate null and alternative hypotheses for this problem.

It should be noted that the null hypothesis suggests that there's no statistical relationship between the variables.

The alternative hypothesis is different from the null hypothesis as it's the statement that the researcher is testing.

In this case, the number that corresponds to the null hypothesis and the alternative hypothesis will be 3 and 6 respectively.

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Answer: it equals A

Step-by-step explanation:

The approximate length of the radius, r is 4.51 cm. SO the option 1 is correct.

In the given question we have to find the approximate length of the radius, r.

As given, circle O has a circumference of approximately 28.3 cm.

The calculation of the circle's boundary is referred as the perimeter or circumference of the circle. Although the circumference of the circle determines the space it occupies.

The circumference of a circle is its length when it's actually opened and represented as a single direction. Units like cm or unit m are typically used to measure it.

As we know that the formula of circumference of circle = 2πr

As circumference of circle = 28.3 cm

So 2πr = 28.3 cm

Divide by 2π on both side, we get

r = 14.15/π

π = 3.14

So r = 14.15/3.14

r = 4.51 cm

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The complete question is:

Circle O has a circumference of approximately 28.3 cm.

What is the approximate length of the radius, r?

a. 4.5 cm

b. 9.0 cm

c. 14.2 cm

d. 28.3 cm

The approximate length of the radius, r, is 4.5 cm.

The formula for calculating the radius, r, of a circle is r = C/2π, where C is the circumference of the circle. In order to calculate the approximate length of the radius, we must first calculate the circumference.

Let's assume that the circumference of the circle is 28.3 cm. To calculate the circumference, we can use the formula C = 2πr. We know the circumference and want to solve for the radius, so we can rearrange the formula to solve for r: r = C/2π.

Plugging in our values, we can calculate the approximate length of the radius: r = 28.3 cm/2π = 4.5 cm. Therefore, the approximate length of the radius, r, is 4.5 cm.

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Answer:

SAS

Step-by-step explanation:

One of the postulates is called SAS and it states that if two triangles have 2 sides with the same length and the angles between the two sides are the same then the two triangles are congruent. This is exactly what we see on the diagram shown in the question, therefore the correct postulate is SAS

Answer:

option d

hope it will help u

Answer:

I think its 2 gallons I'm soooo sorry i got it wrong

Answer:

Domain= 4, 0, 5, 5

Range= -7, 6, -3, 2

Step-by-step explanation:

X  ,  Y

4  ,  -7

0  ,  6

5  , -3

5  , 2  

The domain of a graph consists of all the input values shown on the x-axis, and the range is the set of possible output values, which are shown on the y-axis.

Answer:

domain: -4, 0, 5 and range: -7, -3, 2, 6

Step-by-step explanation:

domain: -4, 0, 5 and range: -7, -3, 2, 6

The equation to find the total length, in meters, of the 8 pieces of wood is T = (3 1/5) * 8.

To find the total length of the 8 pieces of wood, we need to multiply the length of a single piece by the number of pieces.

The length of a single piece of wood is 3 1/5 meters, which can be written as an improper fraction: 16/5 meters.

So, the equation to find the total length, T, of the 8 pieces of wood is:

T = (16/5) * 8

To simplify this equation, we can multiply the numerators and denominators:

T = (16 * 8) / 5

T = 128 / 5

To express this as a mixed number, we divide the numerator by the denominator:

T = 25 3/5 meters

Therefore, the total length of the 8 pieces of wood is 25 3/5 meters.

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The value of the rate of growth in Japan is - 0.55.

From the question above, :Birth rate = 7.7 per thousand

Death rate = 9.8 per thousand

Net migration = 0.55 per thousand

The rate of growth can be calculated using the following formula:

r = (birth rate - death rate) + net migration

Where,r = rate of growth

birth rate = number of live births per thousand in a population in a given year

death rate = number of deaths per thousand in a population in a given year

net migration = the difference between the number of people moving into a country (immigrants) and the number of people leaving a country (emigrants) per thousand in a given year

Putting the values in the formula we get,r = (7.7 - 9.8) + 0.55r = - 1.1 + 0.55r = - 0.55.

Therefore, the rate of growth in Japan is - 0.55.

Your question is incomplete but most probably your full question was:

thenet migration is confusing me. i thought of using the formula:[ (births + immigration) - (deaths + emmigration)] / total

population • 100 but im not sure how to do it with net migration.

Japan's birth rate is 7.7 per thousand and its death rate is 9.8 per thousand with a net migration of 0.55 ner thousand. Calculate r for Japan

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Answer:

There are 5,864 ways to choose 10 different pizza toppings from 22 available toppings.

To determine the number of ways to choose 10 different pizza toppings from 22 available toppings, we can use the concept of combinations. In combinations, the order of selection does not matter.

The number of ways to choose 10 toppings out of 22 can be calculated using the formula for combinations, which is given by:

C(n, r) = n! / (r! * (n - r)!)

Where C(n, r) represents the number of combinations of n items taken r at a time, and "!" denotes the factorial of a number.

Using this formula, we can calculate the number of ways as follows:

C(22, 10) = 22! / (10! * (22 - 10)!)

Simplifying the expression:

C(22, 10) = (22 * 21 * 20 * 19 * 18 * 17 * 16 * 15 * 14 * 13) / (10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1)

After canceling out common factors:

C(22, 10) = 19,958,400 / 3,628,800

C(22, 10) = 5,864

Therefore, there are 5,864 ways to choose 10 different pizza toppings from 22 available toppings.

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Therefore, the number of ways to choose pizza toppings is 646,626,422,170,000.

The number of ways to choose pizza toppings is 646,626,422,170,000. Here's how to get this answer:In how many ways can 10 different pizza toppings be chosen from 22 available toppings?

To solve this problem, we can use the formula for combinations:

C(n,r)=\frac{n!}{r!(n-r)!}where n is the total number of items to choose from and r is the number of items to choose.

Using this formula, we can plug in the values for n and

r: {{C}_{10}}^{22}=\frac{22!}{10!(22-10)!}=\frac{22!}{10!12!}=\frac{13\times \cdots \times 22}{10\times \cdots \times 1}

We can simplify this expression by canceling out terms in the numerator and denominator that are the same.

For example, 22 and 21 cancel out in the numerator, leaving 20 and 19 to cancel out with terms in the denominator. Doing this repeatedly,

we can simplify the expression to \frac{13\times 14\times 15\times 16\times 17\times 18\times 19\times 20\times 21\times 22}{10\times 9\times 8\times 7\times 6\times 5\times 4\times 3\times 2\times 1}=\frac{22\times 21\times 20\times 19\times 18\times 17\times 16\times 15\times 14\times 13}{10\times 9\times 8\times 7\times 6\times 5\times 4\times 3\times 2\times 1}=\frac{22\times 21}{2\times 1}\times \frac{20\times 19}{2\times 1}\times \frac{18\times 17}{2\times 1}\times \frac{16\times 15}{2\times 1}\times \frac{14\times 13}{2\times 1}\times \frac{11\times 10\times 9\times 8}{4\times 3\times 2\times 1}\times \frac{7\times 6}{2\times 1}\times \frac{5\times 4}{2\times 1}\times 3\times 1=150\times 190\times 153\times 120\times 91\times 330\times 21\times 10\times 3\times 1=\boxed{646,626,422,170,000}

Therefore, the number of ways to choose pizza toppings is 646,626,422,170,000.

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Answer:

James ran the furthest by 3.01 yards

Step-by-step explanation:

Answer:

Step-by-step explanation:

5-5=6x+5

Answer:

B)

Step-by-step explanation:

This is hope i got it and it may or may not be helpful 10 divide by 430

The ratio of Chinese Yuan to Saudi Riyal is given as follows:

0.19 : 0.2857.

The ratio between two amounts a and b is given by the division of a by b, applying a proportion.

One U.S. dollar is equivalent to about 5.25 Chinese yuan, hence the value of one Chinese Yuan is given as follows:

1/5.25 = $0.19.

One U.S, dollar is equivalent to about 3.5 Saudi riyal, hence the value of one Saudi riyal is given as follows:

1/3.5 = $0.2857.

Then the ratio is given as follows:

0.19 : 0.2857.

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Answer:

1. x = 8

2. x = 12

3. x = 11

4. x = 6

Step-by-step explanation:

1.

102 + 102 = 204

360 - 204 = 156

156 / 2 = 78

78 = 10x - 2

78 + 2 = 10x

80 = 10x

80 / 10 = x

x = 8

2.

81 = 7x - 3

81 + 3 = 7x

84 = 7x

84 / 7 = x

x = 12

3.

77 = 6x + 11

77 - 11 = 6x

66 = 6x

66 / 6 = x

x = 11

4.

115 + 115 = 230

360 - 230 = 130

130 / 2 = 65

65 = 8x + 17

65 - 17 = 8x

48 = 8x

48 / 8 = x

x = 6

Answer:

Below

Step-by-step explanation:

12 C 2  = 12! / ( 10! 2!) = 66 ways

The amount that Susan actually have to pay should be considered as the $1,332.

Since the purchase price of the computer is $1,200

And, the sales tax rate is 11%

So here the total amount be like

= $1,200 + 11% of $1,200

= $1,200 + $132

= $1,332

hence, The amount that Susan actually have to pay should be considered as the $1,332.

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Answer:

306 m

Step-by-step explanation:

distance between her house and the third point:

280 - 10 = 270 m

distance between the third point  and the beach:

164 - 20 = 144 m

We have a right triangle ,then we can apply the Pythagorean theorem:

\(\text{the distance between her house and the beach} =\sqrt{\left( 270\right)^{2} +\left( 144\right)^{2} } = 306\ m\)

Answer:

28 students

Step-by-step explanation:

If 20% were at a sports meet, then 80% were in class. 80% of 35 is 28

Answer:

4.5

Step-by-step explanation:

Answer:

150°

Step-by-step explanation:

take 180°, and subtract it from 30°

180°-30°= 150°

hope i helped! let me know if you get it right :)

The statement "confidence intervals are useful when trying to estimate unknown statistics" id True.

Confidence intervals are valuable tools for estimating unknown statistics. When dealing with limited data, it is often impossible to determine the true value of a population parameter with absolute certainty. Confidence intervals provide a range of plausible values within which the true parameter is likely to fall.

A confidence interval consists of two components: a point estimate and a margin of error. The point estimate is the best guess of the parameter's value based on the available data, while the margin of error reflects the uncertainty associated with the estimate. By specifying a confidence level, typically expressed as a percentage (e.g., 95% confidence interval), we can quantify the level of confidence we have in capturing the true parameter within the interval.

Confidence intervals allow researchers and decision-makers to make informed conclusions about population parameters while acknowledging the inherent uncertainty. They provide a range of plausible values, taking into account sampling variability and the variability of the data. Confidence intervals also facilitate hypothesis testing, as they help determine whether a hypothesized value falls within the interval.

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Answer:

-2.4

Step-by-step explanation:

distribute the -4 and -2

add 12p to both sides

subtract 12 from both sides

divide