Determine the number of terms in the corresponding Taylor series expansion required to approximate the value of √4.7 to within 10-5, and state the resulting approximate value of √4.7. • Use the absolute value of the first term you omitted to estimate the error in your approximation. Use this table to organize your work: nth term Evaluate Function function of Taylor Cumulative Series and and sum of Approximation accurate to evaluated Taylor derivatives derivatives at value Series within 10^-5 \f(?) (2) f(²) (a) of terms interest 0 1 2 3 4 5 6 Upload your results using the submission instructions found below. n nth term n! (x-a)" of Taylor Series Error estimate

Answer:

Step-by-step explanation:

One

Length = 16

Width = 1

Two

<P = 120

<Q = 30

<R = 30

Three

xy = 45

yz = 1

Four

<1 = 45

<2 = 45

Answer:

No

Step-by-step explanation:

Step 1: Understand the inequality

The inequality 0.35x + 0.99y + 0.59 ≤ 3 contains 2 variables 'x' and 'y'.  We can see the 'x' is multiplied by 0.35 which is the price of a sticker which means 'x' represents how many stickers Linda is buying.  The 'y' is multiplied by 0.99 which is the price of a eraser which means 'y' is how many erasers Linda is buying.  We ignore the 0.59 as that's the price for a pencil but Linda doesn't buy a pencil

Step 2: Sub in the values

\(0.35(3)+0.99(2)<3\\1.05+1.98<3\\3.03<3\)

Step 3: Interpret the answer

Because the equality isn't true we can conlude Linda doesn't have the money to buy 3 stickers and 2 erasers

Answer:

no

Step-by-step explanation:

0.35x3=$1.05

0.99x2=$1.98

add $0.59+$1.98+$1.05

=$3.62

Using visual interpretation of the plot trend, the scatter plot shows positive correlation.

A positive correlation is depicted by a positive slope or trend line on a scatter plot. The trend of the scatter plot slopes upward which establishes a positive association.

If the slope is otherwise negative, such that the trend line slopes downward, then we have a negative association or relationship.

Therefore, the scatter plot shows positive relationship.

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The original number of grapes present in the container was 50.35.

To determine the number of grapes Ariana ate.

then, we'll find the number of grapes Alex ate.

Finally, we'll use the remaining grapes to determine the original number of grapes present in the container.

Let us solve the problem now.

Let the original number of grapes be x. Ariana ate 0.45 of them.

Number of grapes Ariana ate = 0.45x

Alex ate 35% of the remaining grapes after Ariana ate.

Number of grapes Alex ate = 35% of (x - 0.45x)= 35/100(x - 0.45x)= 0.35(0.55x)= 0.1925x

The number of grapes remaining = 18.Number of grapes remaining after both Ariana and

Alex ate = x - 0.45x - 0.1925x= 0.3575x= 18

Hence, we can determine that:0.3575x = 18x = 18/0.3575x = 50.35

The original number of grapes present in the container was 50.35.

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The minimized Sum of Products (SOP) expression for the given logic function F(A, B, C, D, E) with the specified minterms is obtained as f(A, B, C, D, E) = A'BCD'E' + A'B'C'D'E + A'BC'D'E + ABCD'E.

To find the minimized SOP expression using a five-variable Karnaugh map, we first plot the minterms on the map. The minterms are given as m(4,5,6,7,9,11,13,15,16,18,27,28,31). Next, we group adjacent 1s on the Karnaugh map to form groups of 2, 4, 8, or 16 cells. Each group represents a term in the minimized SOP expression.

After grouping the 1s on the Karnaugh map, we can identify the essential prime implicants, which are the groups that cover a single minterm. In this case, the group covering m(31) is an essential prime implicant.

Next, we fill in the remaining cells that are not covered by the essential prime implicant with 1s and group them to form additional terms. We can choose the groups that cover the remaining minterms while minimizing the number of terms in the expression.

Using these groups, we can generate the minimized SOP expression, which is f(A, B, C, D, E) = A'BCD'E' + A'B'C'D'E + A'BC'D'E + ABCD'E. This expression represents the logic function F(A, B, C, D, E) with the given minterms in a minimized form using the Sum of Products (SOP) representation.

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The approximate probability of rolling 2 reds and 8 greens is 14.3%. The answer is O 14.3%.

The probability of rolling a red side is 1/6 and the probability of rolling a green side is 5/6. The number of ways of getting 2 reds and 8 greens in any order is given by the binomial coefficient:

C(10, 2) = 45

The probability of getting 2 reds and 8 greens in any order is:

(1/6)^2 * (5/6)^8 * C(10, 2) ≈ 0.143 = 14.3%

Therefore, the approximate probability of rolling 2 reds and 8 greens is 14.3%. The answer is O 14.3%.

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Answer: A. 1/11

B. 2/11

C. 0

D. 1/11

Hope this helps!

Answer:

20 feet

Step-by-step explanation:

Using Pythagoras rule:

25^2 - 15^2

625 - 225

400

√400 = 20 feet

The integral Ex2 + y2 dV, where E is the area within the cylinder x2 + y2 = 25 and between the planes z = 1 and z = 4, may be evaluated using cylindrical coordinates. The integral may be assessed as 5(2)(3) = 30 by rewriting it as 0 5 0 2 1 4 E d d dz.

Cylindrical coordinates can be used to evaluate integrals such as the one given. In cylindrical coordinates. The integral can then be written as ∫∫∫ E√x^2 + y^2 dV, where E is the region inside the cylinder \(x^2 + y^2 = 25\) and between the planes z = 1 and z = 4.Using the properties of cylindrical coordinates, the integral can be rewritten as ∫ 0 5 ∫ 0 2π ∫ 1 4 Eρ dρ dθ dz. This can be evaluated using the triple integral ∫ 0 5 ∫ 0 2π ∫ 1 4 ρ dρ dθ dz. The integral can then be evaluated as follows:

= 5(2π)(3)

= 30π

Therefore, the integral ∫∫∫ E√\(x^2 + y^2\) dV can be evaluated as 30π.

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Answer:

I believe the answer is 8th graders.

Step-by-step explanation:

False. Solving a system of linear equations requires solving for multiple variables.

To solve for a single variable, you would only need to solve one equation.

To solve a system of linear equations, you need to use methods such as elimination, substitution, or graphing. For example, consider the system of equations:

3x + y = 7

2x - y = 4

To solve this system, you could use elimination by adding the equations together. This would give you the equation 5x = 11. To solve for x, you would then divide both sides by 5, giving you x = 11/5.

Once you have solved for x, you can substitute this value into either of the original equations to solve for y. In this example, substituting 11/5 for x into the first equation would give you 3(11/5) + y = 7. Simplifying this equation gives you y = -2/5.

Therefore, the solution to this system of linear equations is x = 11/5 and y = -2/5.

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As per the congruence theorem, we have proved that ΔABC ≅ΔDEF.

In math congruence theorem states that if all the three sides of one triangle are equal to all the three sides of another triangle, then both the triangles are congruent to each other.

Here we need to prove ΔABC ≅ΔDEF by using the congruence theorem.

Here we have given that ΔABC and ΔDEF,

=> ∠B≅∠E [right angle]

So, we have obtained that

=> ∠A≅∠D

As we know that there is two angles and one non included side of ΔABC is congruent the two corresponding angles and one non- included side of ΔDEF, therefore, by AAS congruence rule.

So, based on the given fact we have identified that

=> ΔABC ≅ΔDEF

Therefore, the AAS congruence postulate defined that the triangles are congruent if two pairs of corresponding angles and a pair of opposite sides are equal in both triangles.

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The equation on solving by factoring method yields no solution.

In this question,

A no solution equation is also known as contradiction. This type of equation is never true, no matter what we replace the variable with. There is no value that will ever satisfy this type of equation.

The equation is -(3z+4)=6z-3(3z+2)

Solving the equation by factoring gives,

⇒ -(3z+4) = 6z-3(3z+2)

By distributive property,

⇒ -3z - 4 = 6z - 3(3z) - 3(2)

⇒ -3z - 4 = 6z - 9z - 6

⇒  -3z - 4 = -3z - 6

On rearranging the equation,

⇒ -3z + 3z = -6 + 4

⇒ 0 = -2

Here LHS is not equal to RHS. Thus the equation on solving by factoring method yields no solution.

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chamber of commerce’s claim at the 0.02 level of significance, z = -1.75

What is z test?

If the data is distributed normally, a z test can be used to determine whether the means of two populations differ from one another. The z test statistic's value must be determined, together with the null hypothesis and alternative hypothesis setups, for this reason. On the z critical value, the decision criterion is based. The distribution graph is divided into acceptance and rejection zones during hypothesis testing by the z critical value. The null hypothesis can be rejected if the test statistic lies inside the rejection region; otherwise, it cannot.

a recent survey reported that small businesses spend 24 hours a week marketing their business.

these businesses are spending less than 24 hours a week on marketing. the chamber conducts a survey of 58 small businesses within their state and finds that the average amount of time spent on marketing is 22.7 hours a week.

assuming that the population standard deviation is 6.1 hours.

Given n = 93, u =24, x' = 23, α=5.5

z = x'- u / α(/√n) = (23-24/5.5/√5) = -1.75

Hence, chamber of commerce’s claim at the 0.02 level of significance, z = -1.75

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Answer:

6.35

Step-by-step explanation:

Answer:

I'm gonna say false

GDP or Gross Domestic Profit is the money that is being spent/made inside the country. So it stands to reason that if people are spending more, the GDP would go up.

Hope this helps!

The correct order of steps to prove the inequality 3^n < (n+1)! for n = 7 is as follows: 3^k < (k+1) * k!, 3 * 3^k = 3^(k+1), 3^(k+1) < (k+1) * 3^k; For n = 7, 3^7 = 2187: 2187 < 7! + 5040.

To prove the inequality 3^n < (n+1)! for n = 7, we can follow these steps:

Start with the assumption that 3^k < (k+1) * k! is true for some positive integer k.

Multiply both sides of the inequality by 3 to get 3^(k+1) < 3 * (k+1) * k!.

Simplify the right side to obtain 3^(k+1) < (k+1) * (k+1) * k!.

Rewrite (k+1) * (k+1) as (k+1)^2.

By substitution, we have 3^(k+1) < (k+1)^2 * k!.

Now, consider the case where n = 7. We substitute k = 6 in the inequality.

Evaluating both sides of the inequality for n = 7, we find that 3^7 = 2187.

Calculate (7+1)! = 8! = 40320.

Compare the values: 2187 < 40320.

Since 2187 is indeed less than 40320, the inequality holds true for n = 7.

Therefore, we have successfully shown that 3^n < (n+1)! for n = 7.

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Yes, line is used to define an angle.

When two lines or rays intersect at a single point, an angle is created. The vertex is the term for the shared point. An angle measure in geometry is the length of the angle created by two rays or arms meeting at a common vertex.

When two straight lines or rays intersect at a single endpoint, an angle is created.

The vertex of an angle is the location where two points come together.

The common point is referred to as the vertex.

The length of the angle formed when two rays or arms intersect at a common vertex is known as an angle measure in geometry.

A straight line is a straight angle.

Therefore, two lines are used to define an angle.

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Answer:

Step-by-step explanation:

take 55 degree as reference angle

using tan rule

tan 55=opposite/adjacent

1.42=37/x

x=37/1.42

x=26.05

The mass of the original sample of phosphorus-32 was approximately 717.7 grams.

To solve this problem, we can use the radioactive decay formula:

A = Ao * 2^(-t/h)

Where:

A = resulting amount after time t

Ao = initial amount (at t=0)

t = time

h = half-life of the substance

In this case, we are given that the half-life of phosphorus-32 is 14.28 days. We want to find the initial mass, represented by Ao.

After approximately 57 days, 55 g of phosphorus-32 remain unchanged. Let's plug these values into the equation:

55 = Ao * 2^(-57/14.28)

To solve for Ao, we can isolate it by dividing both sides of the equation by 2^(-57/14.28):

55 / 2^(-57/14.28) = Ao

Using a calculator to evaluate 2^(-57/14.28), we find that it is approximately 0.07666.

Therefore, the initial mass, Ao, is:

Ao = 55 / 0.07666 ≈ 717.7 g

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Answer:

22 hours

Step-by-step explanation:

So, 143 equals eleven hours. 143 plus 143 would equal 243. So, you have two 143s which means you should multiply the 11 hours by two. 11x2 equals 22.

Answer:

I hope this helps!

The given function is not linear as it does not satisfy the property of additivity. Therefore, it cannot be expressed in the form f(x) = ax + b.

To determine if the given function is linear, we need to check if it satisfies the two properties of linearity:

1. Additivity: f(x + y) = f(x) + f(y) for all x and y.

2. Homogeneity: f(cx) = cf(x) for all x and scalar c.

Let's check if f(x) = (1/2)(5x - 3) satisfies these properties:

Additivity:

f(x + y) = (1/2)(5(x + y) - 3) = (1/2)(5x + 5y - 3)

f(x) + f(y) = (1/2)(5x - 3) + (1/2)(5y - 3) = (1/2)(5x + 5y - 6)

Since (1/2)(5x + 5y - 3) is not equal to (1/2)(5x + 5y - 6), the function does not satisfy additivity, and therefore it is not linear.

So the answer is:

NOT LINEAR.

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Answer:

4(2+t)

Step-by-step explanation:

A term is a single mathematical expression.  We can see in this expression there are four terms, each separated by an operation:

8, 6t, -3t, and 1.

Coefficients are the numbers that multiply variables.  You can also just think of them as the number in front of any variable.  Here we see we have two terms with variables:

6t, -3t

and therefore our coefficients are:

6, -3

Constants are numbers that are, well, constant - you could also just think of them as "normal" numbers.  We can see in this expression you have two:

8, 1

Like terms are terms of the same type.  We have two like terms with a variable in them:

6t, -3t

and two like terms that are constants:

8, 1

Answer:

i need points rq thanks so much

Step-by-step explanation:

imma go waste these points now

Answer:

x

Step-by-step explanation:

Answer:

1. 5,000,000

2. 0.05632

3. 0.00031

4. 2,200

5. 2,500

6. 0.157963

7. 1,114

8. 4.001

9. 8.88

10. 250.89 m = 250,890 mm

11. 63,360

12. 1.009

13. 1,000

14. 0.00005

15. 0.0000007 m = 0.0000000007

Step-by-step explanation:

Answer:

Step-by-step explanation:

5000km = 500000m

56.32ml = 0.05632l

0.0031mm = 0.00031cm

22Hg = 2200g

0.025kg = 25,000mg

157.963 = 0.157963km

1.114 = 1114ml

4001mg = 4.001g

0.888L = 8.88 Dl

0.25089km = 250.89m = 250,890mm

63.36g = 0.06336mg

1009dg = 1.009 Hg

100cm = 1000mm

0.05ml = 0.00005l