What would this equal up to

The sum S, accurate to 5 decimal places, is approximately 0.07827.

We can use the Alternating Series Estimation Theorem to estimate the error of the given series. According to the theorem, the error |Rn| is bounded by the absolute value of the next term in the series, which is:

|(-1)^(n+1) (1/(6^(n+1) + 3)) (10^(-4))| = (1/(6^(n+1) + 3)) (10^(-4))

We want to find the least number N such that |Rn| is less than the given level of accuracy of 10^(-5):

(1/(6^(N+1) + 3)) (10^(-4)) < 10^(-5)

Solving for N, we have:

1/(6^(N+1) + 3) < 10

6^(N+1) + 3 > 10^(-1)

6^(N+1) > 10^(-1) - 3

N+1 > log(10^(-1) - 3)/log(6)

N > log(10^(-1) - 3)/log(6) - 1

N > 4.797

Therefore, the least number N such that |Rn| is less than 10^(-5) is N = 5.

To approximate the sum S, accurate to p decimal places, we can compute the partial sum S5:

S5 = (-1)^0 (1/(6^0 + 3)) + (-1)^1 (1/(6^1 + 3)) + (-1)^2 (1/(6^2 + 3)) + (-1)^3 (1/(6^3 + 3)) + (-1)^4 (1/(6^4 + 3))

Simplifying each term, we get:

S5 = 0.090000 - 0.014850 + 0.002457 - 0.000407 + 0.000068

S5 ≈ 0.078268

To ensure that the approximation is accurate to p decimal places, we need to check the error term |R5|:

|R5| = (1/(6^6 + 3)) (10^(-4)) ≈ 0.000001

Since |R5| is less than 10^(-p), the approximation is accurate to p decimal places. Therefore, the sum S, accurate to 5 decimal places, is approximately 0.07827.

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Answer:

7

Explanation:

Step 1. The first step is to make a diagram of the points and connect them to form the triangles.

In the following diagram, we have the original points FGH in BLUE and the image points F'G'H' in RED:

Step 2. Compare the length of two corresponding sides.

Let's take the base of each triangle.

The base of the red triangle and the base of the blue triangle is shown in the image:

Step 3. To find the scale factor, divide the new length over the original length:

The result is:

Answer:

7

Answer:

2/5 = c/145

Step-by-step explanation:

2/5 = c/145

Cross multiply

5c = 290

c = 58 computers needed for 145 students

The parameter often associated with enzyme affinity for substrates is Km.

Km, also known as the Michaelis constant, is a parameter commonly used to quantify the affinity of an enzyme for its substrate. It is an important parameter in enzyme kinetics and plays a crucial role in determining the efficiency of an enzyme-substrate interaction.

Km represents the substrate concentration at which the rate of the enzymatic reaction is half of its maximum velocity (Vmax). In other words, enzymes with lower Km values have higher affinity for their substrates, as they can achieve half of their maximum velocity at lower substrate concentrations. Therefore, Km serves as an indicator of the enzyme's ability to bind and convert substrates into products efficiently.

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Answer:

Step-by-step explanation:

Answer:

6/11 * 5/10

3/11 or 0.27 repeating

Step-by-step explanation:

The percentage of patients with type-B blood that are 50 years old or younger is calculated as follows:

P = number of patients with type B blood that are 50 years or younger / number of patients with type B blood x 100%

Two parameters are used to calculate a percentage, as follows:

The proportion is given by the number of desired outcomes divided by the number of total outcomes, while the percentage is the proportion multiplied by 100%.

Hence the rule is given as follows:

P = a/b x 100%.

The problem is incomplete and the table could not be found on the internet, hence the general procedure to obtain the percentage is presented.

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Answer: b

Step-by-step explanation:

Because he establish and strong government in 322 bce and  He was followed by his son Bindusara in 298 BCE so this is the answer nd i already did this question and got it right

The perimeter and area of the parallelogram is 61 yds and 192 yds² respectively.

Perimeter refers to the total distance around the boundary of a two-dimensional shape or figure. It is the sum of the lengths of all sides or edges of the shape.

The perimeter can be measured in any unit of length, such as meters, centimeters, feet, or inches, depending on the scale of the shape being measured.

The perimeter and area of the parallelogram is calculated as follows;

P = 12 yds + 16 yds + 15 yds + 18 yds

P = 61 yds

The formula for the area of a parallelogram is:

A = bh

where;

A = 12 yds x 16 yds

A = 192 yds²

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The value of x on the frequency density axis is 200.

What is frequency?

The frequency of a repeated event is its number of instances per unit of time. In some cases, it is also referred to as temporal frequency or ordinary frequency to underline differences with spatial and angular frequencies, respectively.

What is density?

The mass of a substance per unit of volume is its density. Density is most frequently represented by the symbol, however, the Latin letter D may also be used.

Here, we have

x is about half of the number of beehives producing 16 to 18 kg of honey, for the middle blue bar.

x = half of 400

x = 200

Hence, The value of x on the frequency density axis is 200.

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The fifth part of 15 is 3.

Here,

We have to find which part of 15 is 3.

What is nth time?

The nth time used when you are starting that something is the last in a long series.

Now,

Since, 15 ÷ 5 = 3

Hence, we can say that the fifth part of 15 is 3.

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Answer:

Step-by-step explanation:

The question is incomplete since it is suppose to present some options

Given that

Ricky jogs 5 laps in 8 minutes

Hence how many laps laps will he jog in 1 minutes

5 laps= 8 minutes

x laps= 1 minutes

cross multiply we have

\(x=\frac{1*5}{8} \\x= 5/8lap\\\\or\\\x=0.625 lap\)

Answer:

£21,600

Step-by-step explanation:

First thing I did was turn 10% into a decimal of .10 . I then went ahead to multiply that tax by 24, 000. Once I did that I got 2 400. I then went ahead to subtract that from her paycheck and got the outcome of 21 600.

We know that the given expression 6x - x - 4 is (2) this is not equivalent to 7x − 4.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement.

It's possible to multiply, divide, add, or subtract with this mathematical operation.

An expression in mathematics is made up of numbers, variables, and functions (such as addition, subtraction, multiplication or division, etc.)

So, the given expressions are:

7x - 4 and 6x - 4 - x

Now,

7x - 4 and 6x - x - 4

7x - 4 and 5x- 4

Then, we can easily say that the given expressions are not equivalent.

Therefore, we know that the given expression 6x - x - 4 is (2) this is not equivalent to 7x − 4.

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Complete questions:
Explain how you can tell if the expressions 7x – 4 and 6x – 4 – x are equivalent. Sample Response: 6x − x = 5x.

1. The new expression is now 5x − 4.

2. This is not equivalent to 7x − 4.

Answer:

2x - 7y + 17

Step-by-step explanation:

Subtracting the 2 expressions

2x - 4y + 6 - (3y - 11) ← distribute parenthesis by - 1 )

= 2x - 4y + 6 - 3y + 11 ← collect like terms

= 2x - 7y + 17

Answer:

0

Step-by-step explanation:

2x_4y +6_3y_11

2x_7y=17

2x _7y+17=0

Answer:

the correct estimate of the weight of Errol's backpack would be 33

Step-by-step explanation:

you just need to add 10 and 23.

Answer:

Step-by-step explanation:

1 km = 0. 621371 miles

28,300 km = 28,300* 0. 621371 miles = 17,584.7993 miles

1 hour = 60 *60 seconds  = 3,600 seconds

speed of 28,300 km/hr =

17,584.7993 miles / 3,600 seconds ≈ 4.88 miles / second

A) The measure of central tendency that best describes the data for time spent on the internet (min/day) is the median.

The median is the middle value in a set of data when the data is arranged in numerical order. In this case, the data arranged in numerical order is 38, 43, 48, 52, 65, 75, 120. The median value is 52, which is the middle value in the data set.

B) The measure of central tendency that best describes the data for the weight of books (oz) is the mode. The mode is the value that occurs most frequently in a data set. In this case, the data is 12, 10, 9, 15, 16, 10. The mode is 10, as it occurs twice in the data set and is the most frequent value.

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Answer:

Each apple would cost 1.20 and each orange would cost 1

Step-by-step explanation:

Answer:

See Attached!

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Answer:

5 times

Explanation:

32 / 2 = 16

16 / 2 = 8

8 / 2 = 4

4 / 2 = 2

2 / 2 = 1

Every time Daniel puts is hand in, he takes half of all the jellybeans.

The first time he put his hand in, there was 32 jellybeans and 32 / 2 = 16. After that, there was 16 so taking half would mean that there would be 8. Then this goes on till it reaches 1.

To conduct a hypothesis test about the population mean when given a random sample of data, the following steps are typically followed:

Formulate the null and alternative hypotheses:

Null hypothesis (H₀): Assumes no significant difference between the sample mean and the population mean.

Alternative hypothesis (H₁): States that there is a significant difference between the sample mean and the population mean.

Determine the significance level (α) of the test:

The significance level represents the probability of rejecting the null hypothesis when it is actually true. Commonly used significance levels are 0.05 (5%) and 0.01 (1%).

Collect a random sample from the population:

The sample should be collected randomly and should be representative of the population of interest.

Apply the central limit theorem:

The central limit theorem states that, regardless of the shape of the population distribution, the distribution of sample means approaches a normal distribution as the sample size increases.

Determine the appropriate test statistic:

The choice of test statistic depends on the sample size and whether the population standard deviation is known.

For large sample sizes (typically n ≥ 30) or when the population standard deviation is known, a z-test is used.

For small sample sizes (typically n < 30) and when the population standard deviation is unknown, a t-test is used.

Calculate the test statistic:

The test statistic is calculated using the sample data and relevant formulas for the chosen test (z-test or t-test).

Determine the critical region and compare the test statistic with the critical value(s):

The critical region is defined based on the chosen significance level.

For a one-sided test, the critical region is located in one tail of the distribution.

For a two-sided test, the critical region is split between the two tails of the distribution.

Make a decision and draw conclusions:

If the test statistic falls within the critical region, the null hypothesis is rejected in favor of the alternative hypothesis.

If the test statistic does not fall within the critical region, there is not enough evidence to reject the null hypothesis.

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Answer:

(2,6)

Step-by-step explanation:

Answer:

Step-by-step explanation:

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

Answer:

-4

Step-by-step explanation:

a1 is 2

a2 = a1^2-5 = 4-5 = -1

a3 is a2^2-5 = 1-5 = -4

The surface area of the given rectangular prism is:

S = 496 square feet.

For a rectangular prism of length L, width W, and height H is:

S = 2*(L*W + W*H + L*H).

In this particular case, we have:

If we replace that in the surface area equation, we will get:

\(S = 2*(5ft*16ft + 5ft*8ft + 16ft*8ft) = 496 ft^2\)

The surface area of the rectangular prism is 496 square feet.

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Given: After taking the first exam, 15 of the students dropped the class.

Required: To determine whether the given value is a statistic or a parameter.

Explanation: Parameter and statistic are very similar. The parameter is when the complete data of the population is presented. The statistic is when a particular data is used for fraction of the population.

Since it is given that among all the students in the class 15 students dropped out. Hence the given data is Parameter.

Final Answer: Parameter.

Answer:

I think the error in Cynthia's answer is when she multiplied

Step-by-step explanation:

-2x(x^2 - 3) here

It should be = -2x^2 + 4x^2 - 2

The correct equation is p - 53 = 118.

⇒ p - 53 = 118

Therefore, the correct equation is p - 53 = 118.

The dimensions of the triangle are;

Base = 21 yards

Height of the triangle = 16 yards

It is important to note that the formula for determining the area of a triangle is expressed as;

Area = 1/2bh

Given that;

From the information given, we have that;

Base = 5 + h

Area =  168 square yards.

Now, substitute the values

168 = 1/ 2 (5 + h) h

expand the bracket

168 = 1/ 2 5h + h²

cross multply

5h + h² = 336

h² + 5h - 336 = 0

h² + 21h - 16h - 336 = 0

h( h + 21) - 16( h + 21) = 0

Then,

h = 16

h = -21

Base = 5 + h = 5 + 16 = 21 yards

Height = 16 yards

Hence, the values are 16 and 21 yards

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