write a recursive formula for the sequence 5, 18, 31, 44, 57 then find the next term

Answer:

266.666667

Step-by-step explanation:

Answer:

1/9 chance

Step-by-step explanation:

9514 1404 393

Answer:

  2.43 m

Step-by-step explanation:

The wavelength is the distance between crests, given as 2.43 m.

The proof of the inequality → (a + b)²/2 ≥ 2ab, is given below -

We have the following inequality -

(a + b)²/2 ≥ 2ab

We have to prove it.

An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.

According to the question, we have -

Inequality -

(a + b)²/2 ≥ 2ab

Proof -

Starting from the inequality - (a - b)² ≥ 0

(a - b)² ≥ 0

a² + b² - 2ab ≥ 0

a² + b² - 2ab + 2ab ≥ 2ab

a² + b² ≥ 2ab

Add - 2ab on both sides, we get -

a² + b² + 2ab ≥ 4ab

(a + b)² ≥ 4ab

Divide both sides by 2, we get -

(a + b)²/2 ≥ 2ab

Hence Proved.

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The extraneous solution of the logarithmic problem \(\rm log_3(18x^3)-log_3(2x) = log_3 144\) is -4.

A log function is a way to find how much a number must be raised in order to get the desired number.

\(a^c =b\)

can be written as

\(\rm{log_ab=c\)

where a is the base to which the power is to be raised,

b is the desired number that we want when power is to be raised,

c is the power that must be raised to a to get b.

Solving the function using the basic logarithmic value, we get,

\(\rm log_3(18x^3)-log_3(2x) = log_3 144\\\\ log_3\dfrac{(18x^3)}{(2x)} = log_3 144\\\\ log_3(9x^2)= log_3 144\\\\\text{Taking antilog}\\9x^2 = 144\\x = \sqrt{\dfrac{144}{9}}\)

If we solve further we will get that the value of x can be either -4 or 4, if take the value of x as -4, in the beginning then you will get log₃(18(-4)³) as the log of negative value which is impossible.

Hence, x=-4 is an extraneous solution.

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Answer:

x = negative 4

Step-by-step explanation:

The comment and answer above is correct.

Answer:

x = 1

Step-by-step explanation:

it's because it is an isosceles triangle

Answer:

x = 1

Step-by-step explanation:

8x + 5 = 2x + 11      (since ∠D = ∠E, triangle is isosceles)

combine like terms:

6x = 6

x = 1

If the childcare environment that a school-aged child attends is not located in the school, a written authorization signed by the parent or guardian is required for the student to be bussed to or to walk to the childcare home or center after school.

To ensure the safety of the students while being transported to a childcare center or home, a written authorization signed by the parent or guardian is required if the childcare environment that a school-aged child attends is not located in the school. In addition to a written authorization, some schools may require a transportation form to be filled out and signed by the parent or guardian. This form usually includes the child's name, grade, school name, and the location of the childcare center or home. It may also include emergency contact information, medical conditions, and other important information that the school needs to know in case of an emergency.

If the childcare environment that a school-aged child attends is not located in the school, a written authorization signed by the parent or guardian is required for the student to be bussed to or to walk to the childcare home or center after school.  This form usually includes the child's name, grade, school name, and the location of the childcare center or home. It may also include emergency contact information, medical conditions, and other important information that the school needs to know in case of an emergency. The school will keep a copy of this form on file for future reference.To ensure the safety of the students while being transported to a childcare center or home, the school may have other rules and regulations that need to be followed. For example, some schools may require that the student be accompanied by an adult when walking to the childcare center or home. Others may have specific bus routes or pickup/dropoff times that need to be followed. It is important for parents and guardians to be aware of these rules and regulations and to follow them to ensure the safety of their children.

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v = 8

Given:

-31 = 3v + 9 - 8v

To find:

the value of v

To determine v, we will collect like terms:

subtract 9 from both sides:

Answer:

y = 5.5x + 79.5

Step-by-step explanation:

Given that:

Weight gained after 11 months = 140 kg

Rate of weight gain = 5.5kg per month

Weight in kg after x months = y

Representing the equation in the form:

y = mx + c

m = rate of water gain = slope = 5. 5

.the intercept c, can be obtained thus ;

x = 11 ; y = 140

140 = 5.5(11) + c

140 = 60.5 + c

140 - 60.5 = c

79.5 = c

Hence,

y = 5.5x + 79.5

Answer:

Step-by-step explanation:

Basically, because till x = 6, f(6) was less than 0.

They are asking the value of f(x), not x.

Thanks

Answer:

5x-8

Step-by-step explanation:

The researcher will analyse its p-value and then will comment on its null hypothesis that it will be rejected or accepted.

Given is that the regression coefficient = 0.26

standard error = 0.4

The estimated standard deviation of the measurement error is the standard error of a coefficient estimate. Additionally, the standard error of the mean at X is the term used to describe the standard error of the projected height of the regression line for a particular value of X.

Finding the relationship between changes in the independent variables and changes in the dependent variable is the main goal of regression analysis. These changes are described by coefficients, and p-values reveal whether or not these coefficients are substantially different from zero.

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To ensure the best test results, Anita should be provided with the following information before her spirometry:

1. Instructions for taking the test: Anita should be thoroughly explained about how the spirometry test works and what steps she needs to follow. This includes taking a deep breath and blowing as hard as she can into the spirometer mouthpiece. It is important to emphasize that she needs to repeat this procedure a few times and take deep breaths between each exhale.

2. Emphasize the importance of taking medication as prescribed: Anita should be reminded of the importance of taking her medications as prescribed, including on the day of the test. It is crucial for her to bring her medications to the test appointment.

3. Avoid certain foods and drinks: Anita should be informed to avoid consuming certain substances before the spirometry test, such as caffeine, alcohol, and heavy meals. These can potentially affect the accuracy of the test results.

4. Arrive early for the test: Anita should be advised to arrive early for the test to allow herself sufficient time to relax and calm down before the procedure. This can help ensure more accurate results.

The rationale behind providing these instructions and information is that spirometry is a lung function test that measures the amount and speed of air being breathed in and out. By following the instructions and guidelines, Anita can achieve optimal results, aiding in the diagnosis and assessment of lung conditions.

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Answer:

Step-by-step explanation:

Given,

Cost price of 25 kg of vegetables ( CP ) = 25 × 20

= Rs 500

Loss amount = Rs 50

Selling price ( SP ) = ?

Loss percent = ?

Now, let's find the loss percent :

\( \mathsf{ \frac{loss}{cost \: price} \times 100\%}\)

\( \mathsf{ = \frac{50}{500} \times 100\%}\)

\( \mathsf{ = 10\%}\)

Loss % = 10 %

Now, let's find the selling price:

\( \mathsf{ \frac{CP(100 - l\%)}{100} }\)

\( \mathsf{ = \frac{500(100 - 10)}{100}} \)

\( \mathsf{ = \frac{500 \times 90}{100} }\)

\( \mathsf{ = \frac{45000}{100} }\)

\( \mathsf{= 450}\)

Hope I helped!

Best regards!

This is an example of Stratified probability sampling, because here the samples are drawn at random and the conclusions based are  generalised to the population as a whole

A researcher conducting a study on streaming services divides the population of Netflix subscribers into four groups of users based on the type of material viewed and then sampling from within those groups. This is an example of what type of sampling?This is an example of Stratified probability sampling.What is stratified probability sampling?Stratified sampling is a type of probability sampling that divides the population into subgroups or strata based on relevant characteristics. The strata are then randomly chosen, and samples are obtained from within each stratum.

Stratified sampling may be useful in situations where researchers want to obtain a representative sample of a population while simultaneously ensuring that the sample is sufficiently representative of different subgroups within the population. It might be used, for example, in a study of people's attitudes about social media, with strata based on age or socioeconomic status.Stratified sampling, like all probability sampling methods, has the advantage of ensuring that the sample is representative of the population from which it was drawn. Because samples are drawn at random, the conclusions based on them can be generalised to the population as a whole.

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Answer:

20

Step-by-step explanation:

because angle 5 is found on the same line as 45 degrees (don't remember what that's called), we can subtract from 180 to find

angle 5 = 135

angle 5 and 5x+35 are alternate interior angles, so they have the same value

135=5x+35

100=5x

20=x

Answer:

Thanks for the points :3

The question refers to missing items that need to be determined, identified by appropriate letters, and percentages rounded to one decimal place.

To provide a specific answer to the question, it's necessary to know the context and the specific missing items being referred to. Without that information, it is not possible to identify the missing items and calculate their percentages.

Therefore, without the missing items and their corresponding context, it is not feasible to determine the appropriate letters or calculate the percentages.

It's important to have clear and specific information to address the missing items accurately. By providing the missing items and their context, it would be possible to identify the appropriate letters and calculate the corresponding percentages based on the given data or information.

In summary, the question asks for missing items and their corresponding percentages, but without specific information, it is not possible to determine the appropriate letters or calculate the percentages.

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Answer:

The zeros are -5 and 3, because k(x)= -(x + 5)(x - 3).

Step-by-step explanation:

The function k(x)=-x2-2x+15 can be re-written as k(x) = -x^2 - 2x + 15, which in turn becomes -(x^2 + 2x - 15) after the negative sign is factored out.

The quantity inside parentheses is equivalent to (x + 5)(x - 3).  Setting this equal to zero, we get (x + 5) = 0 and (x - 3) = 0, so the zeros are {-5, 3}.  

Thus, Answer B is correct:  

The zeros are -5 and 3, because k(x)= -(x + 5)(x - 3).

Answer:

The zeros are -5 and 3, because k(x)= -(x + 5)(x - 3).

Step-by-step explanation:

The quantity inside parentheses is equivalent to (x + 5)(x - 3).  Setting this equal to zero, we get (x + 5) = 0 and (x - 3) = 0, so the zeros are {-5, 3}.  

The decision rule for testing the hypotheses at a 5% level of significance is as follows:

A. Reject H0 if p > 0.025.

Do not reject H0 if p ≤ 0.025.

In hypothesis testing, the p-value is compared to the significance level (α) to make a decision. If the p-value is less than or equal to the significance level, we do not reject the null hypothesis (H0). If the p-value is greater than the significance level, we reject the null hypothesis.

In this case, the null hypothesis (H0) is that the slope coefficient (β1) is equal to 0, while the alternative hypothesis (Ha) is that β1 is not equal to 0. To make a decision, we compare the p-value associated with the coefficient estimate (b1) to the significance level (α = 0.05).

Since the p-value is not given in the provided information, we cannot determine the decision based on the given options.

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The parallels between finding instantaneous velocity and finding the slope of the tangent line lie in their conceptual similarity as both involve determining rates of change at specific points in time or on a graph.

The process of finding the instantaneous velocity of an object at a particular point in time and finding the slope of the tangent line to a graph at a specific point share fundamental similarities. Both involve calculating rates of change. Instantaneous velocity measures the rate of change of displacement with respect to time at a specific moment. Similarly, the slope of the tangent line to a function at a point measures the rate of change of the function with respect to the independent variable at that point.

In both cases, the focus is on a precise point rather than an average rate of change over an interval. By examining infinitesimally small intervals, these approaches capture the behavior of the object or function at an exact instant or point, providing insight into their dynamics or characteristics.

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Using equivalent decimals, the correct option regarding which lake lost the least amount of water is:

c. Lake Stockton

For a fraction, we have to divide the numerator by the denominator to find the equivalent decimal.

For a percentage, we just have to divide the percentage by 100%.

Hence, for the three lakes, the equivalent amounts are given by:

Lake Jensen: 1/6 = 0.1666

Lake Parlow: 26% = 26/100 = 0.26

Lake Stockton: 33/200 = 0.165

The smallest equivalent decimal is 0.165,

Hence Lake Stockton lost the least amount of water, and option C is correct.

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Answer:

Solution,

\(f(x) = - 4 {x}^{2} + 5x \\ f(6) = - 4 \times {6}^{2} + 5 \times 6 \\ \: \: \: \: \: \: = - 4 \times 36 + 30 \\ \: \: \: = - 144 + 30 \\ \: \: \: - 114\)

hope this helps.

Good luck on your assignment..

Answer:

-114

Step-by-step explanation:

To find f(6), you need to plug in the value in parentheses wherever there is an x in the equation.

f(x) = -4x + 5x

f(6) = -4(6) + 5(6)

f(6) = -4(36) + 30

f(6) = -144 + 30

f(6) = -114

The answer is -114.

\(\rule{300}{1}\\\dashrightarrow\large\textsf{\textbf{\underline{Given question:-}}}\)

l=12 cm; b=6 cm. What is the area?

\(\dashrightarrow\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\)

\(\sf{Formula\:for\:Area:-}\)

\(\rule{300}{1}\)

Answer:

7mins and 48mins

Step-by-step explanation:

10texts a minute
10texts = 60s
1 text = 6s
70text=7mins
8text=48

Step-by-step explanation:

if 30texts=3 minutes

then 78texts=?

cross multiply

\( \frac{78 \times 3}{30} \)

\( \frac{234}{30} \)

Answer

7.8minutes

The number of white bread sold is 65.

A mathematical equation that represents the relationship of two expressions on either side of the sign.

We have,

Let the White bread be M

Let the Wheat bread be N

4 loaves of white bread for every 5 loaves of wheat bread can be written as:

4M = 5N _____(1)

Total number of bread sold = 117

M + N = 117 _______(2)

The number of white bread sold:

From (1)

N = 4M / 5 Putting in (2)

M + 4M/5 = 117

(5M + 4M) / 5 = 117

9M = 117 x 5

M = 13 x 5

M = 65

Thus the number of white bread sold is 65.

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Answer:

52 i just did the test

Step-by-step explanation:

Answer: Hardwood flooring

Step-by-step explanation:

Given

Rohann renovation of Carpentering cost $875 for \(20\ m^2\)

For hardwood flooring \(17\ m^2\) cost $750

So, cost per square meter for different floors are

\(\Rightarrow \text{Carpentering}=\dfrac{875}{20}\\\\\Rightarrow \text{Carpentering}=\$43.75/m^2\)

\(\Rightarrow \text{Hardwood}=\dfrac{750}{17}\\\\\Rightarrow \text{Hardwood}=\$44.11/m^2\)

Thus, the cost of the Hardwood flooring is more expensive.

The area of the given triangle is 20 square kilometers.

Here, we are given a triangle as shown in the figure below.

There are many ways of calculating the area of a triangle but since here, we are given only one angle and 2 sides of the triangle we will use the following formula to calculate the area-

area of triangle = 1/2 × sinФ × side 1 × side 2

where, Ф = angle formed by side 1 and side 2

Here, Ф = 35

Sin 35 = 0.5736

Thus, the area of the triangle will be-

1/2 × 0.5736 × 7 × 10

= 35 × 0.5736

= 20.076

20.076 rounded off to nearest hundredth is 20

Thus, the area of the given triangle is 20 square kilometers.

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Your question was incomplete. Check for the missing figure below

Answer:

D. 12/27

Step-by-step explanation:

Ratios are just like fractions

12 ÷ 3 = 4

27 ÷ 3 = 9

4/9 is 12/27 simplified by 3

Answer:

D

If you divide 12/27 to its simplest form you get 4/9

The measure of the angle ABC from the diagram is equivalent to 78 degrees.

We need to find <ABC

Let us produce BA to meet PR at point G.

It is given that BG || PQ

Thus, <RGB and <QPR are corresponding angles.

This shows that <RGB = <QPR since they are corresponding angles.

On the other hand, <QPR = 102 degrees and <ABC are <RGB consecutive interior angles, then:

<ABC + <RGB = 180

<ABC + 102 = 180

<ABC = 180 - 102

<ABC = 78 degrees

Hence the measure of the angle ABC from the diagram is 78 degrees.

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