Decide if the following statements are true or false. If true, explain why. If false, give a coun- terexample. (a) If the power series an(r-T)" is converges at x = 1, then it must be convergent at x = 5. no 00 an (b) The power seires 0,2" and the power series 2+1 have the same interval n+1 na0 m=0 of convergence.

Answer:

the possible outcomes contain the same number of heads and tails are 70.

tell me if i am right

For each coin flip, there are 2 possible outcomes (heads or tails), so for 8 flips, there are \(2^8\) = 256 possible outcomes.

When flipping a coin, there are two possible outcomes: heads or tails. So, for one flip, there are two possibilities. For two flips, there are two possibilities for the first flip and two possibilities for the second flip, making a total of 2x2=4 possible outcomes.

For three flips, there are two possibilities for the first flip, two for the second flip, and two for the third flip, making a total of 2x2x2=8 possible outcomes.

Similarly, for four flips, there are 2x2x2x2=16 possible outcomes, and for five flips, there are 2x2x2x2x2=32 possible outcomes.

Continuing this pattern, for eight flips, there are 2x2x2x2x2x2x2x2 = 256 possible outcomes.

This can also be calculated using the formula for combinations, which is \(n! / (r!(n-r)!)\) where n is the number of total flips (in this case, 8) and r is the number of heads that we want to get.

For example, to find the number of outcomes where we get exactly 3 heads and 5 tails, we would use the formula:

\(8! / (3!5!) = 56\)

So, there are 56 possible outcomes where we get exactly 3 heads and 5 tails.

In summary, for each coin flip, there are 2 possible outcomes (heads or tails), so for 8 flips, there are \(2^8 = 256\) possible outcomes.

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The point P(1,6) is closest to the origin along the x-axis.

A coordinate plane is a 2D plane which is formed by the intersection of two perpendicular lines known as the x-axis and y-axis.

Here we have four points that are:-

P(1, 6),  Q(5, 3),    R(6, 1),      S(3, 6)

As we can see that point P has the minimum value of x which is 1. I have also plotted the point on the graph attached with the answer.

Hence the point P(1,6) is closest to the origin along the x-axis.

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The installment price of the recliner bought on the installment plan with a down payment of $ 90 and six payments of $ 107.72 is $736.32.

The installment price of the recliner, we need to calculate the total amount paid over the installment plan, including the down payment and the six payments.

Down payment: $90

Six payments: $107.72 each

Total amount paid = Down payment + (Number of payments × Payment amount)

Total amount paid = $90 + (6 × $107.72)

Total amount paid = $90 + $646.32

Total amount paid = $736.32

Therefore, the installment price of the recliner is $736.32.

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Answer:

32 cm

Step-by-step explanation:

The volume of the container is:

V= area of the base * the heigth

Since the container has a rectangular base the area of it is:

A = length * width

Let L be the missing length

A = L * 10

V = 10* 25 * L

The container can hold 8 Liters when it's completely full to its brim.

8 liters is 8000 cm^3 ( multiply by 1000)

8000 = 10*25*L

8000 = 250 *L

L = 8000/250

L = 32 cm

v=8litres which is 8 × 1000

l=?

b=10

h=25

since, v=lbh (volume of cuboid)

8000=l × 10 × 25

l=8000/250

l=32

therefore the length is 32cm

Given linear inequalities is solved using graph paper line will pass through (6,0) and (-0,4) Area where required linear inequalities is satisfied is towards origin.

let's first try to understand  what is linear inequalities?

A linear inequality in mathematics is an inequality involving a linear function. One of the symbols for inequality is found in a linear inequality. It displays non-equal data in graph style.

the linear inequality's graph Since the inequality is severe and the shaded region points in the direction of the origin, 2 x-3 y < 12 is a straight line passing through the points (6, 0) and (0, -4), with the line being dot-dotted.

x - coordinate of the given line 2x - 3y =12

y =0 2x = 12 x = 6 (6,0)

y - coordinate of the given line -3y = 12 y = -4  (0,-4)

line passes through (6,0) and (0,-4).

Given Question is incomplete complete Question here:

How do you graph linear inequalities 2x - 3y< 12?

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Answer:

18

Step-by-step explanation:

7, 17, 27, 37, 47, 57, 67

70, 71, 72, 73, 74, 75, 76, 77, 78, 79

The graphs that display the same data are a.  I and II

This refers to the different ways in which a set of data are displayed in a certain place such as a bar graph, frequency table, line graph, etc.

Hence, we can see that from the evaluation of the data, there is the use of the same data in I and II as the bar and line graphs contain the same country voter turnout.

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Answer:

a

Step-by-step explanation:

Answer: They will hike exactly 16 miles each day for 4 days.

Step-by-step explanation:

Given: Total distance to hike = 72 miles

They hike 16 miles per day.

Total days they will take to complete the distance = \(\dfrac{\text{Total distance to hike}}{\text{Distance hiked each day}}\)

\(=\dfrac{72}{16}\\\\=\dfrac{9\times8}{2\times8}=\dfrac92\\\\=4\dfrac12\)

It will take 4 complete days and a half day to complete the journey.

i.e. They will hike exactly 16 miles each day for 4 days.

Let's see

seven eighths means 7/8

So

Forty two eighths

Answer:

13) x=n-11

15) x=3*10

Step-by-step explanation:

I used x as the variable. The questions are pretty straightforward. They are asking you to put the terms in the description on the right side of the equation. The questions = x. That was probably confusing, but it is correct. I hope this helped!

Product of 3 and 10 and12

It would take approximately 11.7 years to pay off the credit card balance of $3052.41 with a monthly payment of $55 and an annual interest rate of 18%.

To calculate the time it will take to pay off a credit card balance, we need to consider the interest rate, the balance, and the monthly payment. In your question, you mentioned an annual interest rate of 18% and a monthly payment of $55.

First, let's convert the annual interest rate to a monthly interest rate. We divide the annual interest rate by 12 (the number of months in a year) and convert it to a decimal:

Monthly interest rate = (18% / 12) / 100 = 0.015

Next, we can calculate the number of months it will take to pay off the balance. Let's assume there are no additional charges or fees added to the balance:

Balance = $3052.41

Monthly payment = $55

To determine the time in months, we'll use the formula:

Number of months = log((Monthly payment / Monthly interest rate) / (Monthly payment / Monthly interest rate - Balance))

Using this formula, the calculation would be:

Number of months = log((55 / 0.015) / (55 / 0.015 - 3052.41))

Calculating this equation gives us approximately 140.3 months.

Since we want to find the number of years, we divide the number of months by 12:

Number of years = 140.3 months / 12 months/year ≈ 11.7 years

Therefore, it would take approximately 11.7 years to pay off the credit card balance of $3052.41 with a monthly payment of $55 and an annual interest rate of 18%.

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To demonstrate that ΔKLM ≈ ΔEFG , we can use the SSS Similarity Theorem.

Given,

The ratio of the corresponding sides of the triangles ΔKLM  and ΔEFG;

KM/EG = 8/24 = 1/3

KL/EF = 6/18 = 1/3

ML/GF = 5/15 = 1/3

We have to prove that the triangles are similar using SSS or SAS similarity theorems;

SSS similarity theorem;

The two triangles are similar if all three sides of one triangle are in proportion to the three sides of another triangle.

SAS similarity theorem;

The triangles are congruent if two sides and the included angle of one triangle are equivalent to two sides and the included angle of another triangle.

Here, the sides of the triangles are in proportion.

That is,

KM/EG = KL/EF = ML/GF = 1/3

Here,

We can consider SSS similarity theorem to prove that ΔKLM ≈ ΔEFG

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Answer:

4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

its right

Answer:

23/10

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

- choose any 2 sets of corresponding values and use the formula

( y2 - y1 ) / ( x2 - x1 )

you'll get -3/4

Answer:

19 cm

Step-by-step explanation:

AC = 7 cm

CB = 12 cm

therefore

AC + CB = AB

7 + 12 = 19

can this help you to solve it?

The probability that a randomly selected person from the group will have a systolic blood pressure below 112 is 0.0548.

To find the probability that a randomly selected person from the group will have a systolic blood pressure below 112, we need to standardize the variable using the z-score formula:

z = (x - μ) /σ

where x is the value, we want to find the probability for, μ is the mean of the distribution, and σ is the standard deviation.

For this problem, we have:

z = (112 - 120) / 5 = -1.6

Now, we need to find the probability that Z (the standardized variable) is less than -1.6. We can do this by using a standard normal distribution table.

Using a standard normal distribution table, we find that the probability of Z being less than -1.6 is approximately 0.0548.

Therefore, the probability that a randomly selected person from the group will have a systolic blood pressure below 112 is approximately 0.0548 or 5.48%.

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Answer:

t = 4

Step-by-step explanation:

This is an Isosceles triangle with a perpendicular bisector

therefor

10t = t + 36

9t = 36

t = 4

The numerical values of the Nash equilibrium prices for Firm X and Firm Y are PX = 64 and PY = 8, respectively

In a duopoly market with two firms, X and Y, the demand functions and marginal cost for each firm are given. To find the "best responses" for each firm, we need to determine the optimal price for each firm in terms of the rival's price. Subsequently, we can find the Nash equilibrium prices, where both firms play their best responses simultaneously.

For Firm X:

ProfitX = (90 - 3PX + 2PY - 10) * PX

Taking the derivative with respect to PX and setting it equal to zero:

d(ProfitX) / dPX = 90 - 6PX + 2PY - 10 = 0

Simplifying the equation:

6PX = 80 - 2PY

PX = (80 - 2PY) / 6

For Firm Y:

ProfitY = (90 - 3PY + 2PX - 10) * PY

Taking the derivative with respect to PY and setting it equal to zero:

d(ProfitY) / dPY = 90 - 6PY + 2PX - 10 = 0

Simplifying the equation:

6PY = 2PX - 80

PY = (2PX - 80) / 6

These equations represent the best responses for each firm in terms of the rival's price.

To find the numerical values of the Nash equilibrium prices, we need to solve these equations simultaneously. Substituting the expression for PY in terms of PX into the equation for PX, we get:

PX = (80 - 2[(2PX - 80) / 6]) / 6

Simplifying the equation:

PX = (80 - (4PX - 160) / 6) / 6

Multiplying through by 6:

6PX = 480 - 4PX + 160

10PX = 640

PX = 64

Substituting this value of PX into the equation for PY, we get:

PY = (2 * 64 - 80) / 6

PY = 8

Therefore, the numerical values of the Nash equilibrium prices for Firm X and Firm Y are PX = 64 and PY = 8, respectively.

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Answer:

675,745.95

Step-by-step explanation:

Answer:

675745.92

Step-by-step explanation:

9.6 × 103 = 988.8

6.7 × 102 = 683.4

988.8 x 683.4 = 675745.92

can i get brainliest? plzzzz

Answer:

\((-1) \times (-2) \times (-3) \times (-4) \times (-5) = - 120\)

Step-by-step explanation:

By the rule of Integer multiplications,

\((-1) \times (-2) \times (-3) \times (-4) \times (-5) = [ (-1) \times (-2) ] \times [(-3) \times (-4)] \times (-5)\)

                                                      \(= [2] \times [12] \times (-5)\)

                                                      \(= -120\)

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In the study mentioned, the terms refer to: a) Sample - the number of eligible voters in the study who actually plan to vote, b) Population - the number of eligible voters who actually plan to vote, c) Statistic - a group of voters in the community who voted, randomly selected, d) Variable - voted, didn't vote, voted, e) Data - all eligible voters in the community, f) The attendance of a single voter. The quantity described, "The proportion of female students that attended BMCC last year," is a statistic.

In the first scenario, the size of the sample is 38, representing the number of representatives surveyed, while the size of the population is not given. Similarly, in the second scenario, the sample size is 35, but the population size is not mentioned. Without information about the population size, it is not possible to determine the proportion or representation of the sample in relation to the entire population.

The value 50% is considered a statistic because it represents a specific proportion (percentage) of registered voters who turned out for the 2004 elections. It is based on the observed data from a specific group of registered voters and does not refer to the entire population of registered voters.

Regarding the terms in the study, (a) sample refers to the number of eligible voters in the study who actually plan to vote, (b) population refers to the number of eligible voters who actually plan to vote, (c) statistic refers to a group of voters in the community who voted and were randomly selected, (d) variable represents different categories of voters (voted, didn't vote, voted), (e) data encompasses all eligible voters in the community, and (f) the attendance of a single voter is a specific measure within the data.

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The correct answer, takes approximately 16.58 hours until only 1 mg of the drug remains in the body.

(a) To find the initial amount taken, we can look at the equation A = \(11(0.81)^t\)and substitute t = 0 since we want to find the initial amount.

\(A = 11(0.81)^0\)

A = 11(1)

A = 11 mg

Therefore, the initial amount taken was 11 mg.

(b) The percent of the drug that leaves the body each hour can be calculated by finding the decay factor in the exponential equation. In this case, the decay factor is 0.81.

To find the percentage, we can subtract the decay factor from 1 and then multiply by 100:

Percentage = (1 - 0.81) * 100

Percentage = 0.19 * 100

Percentage = 19%

Therefore, 19% of the drug leaves the body each hour.

(c) To find the amount of the drug left in the body after 6 hours, we can substitute t = 6 into the equation:

\(A = 11(0.81)^6\)

A ≈ 3.18 mg

Therefore, approximately 3.18 mg of the drug is left in the body after 6 hours.

(d) To find the time until only 1 mg of the drug remains in the body, we need to solve the equation:

\(1 = 11(0.81)^t\)

Taking the logarithm of both sides can help us isolate the exponent:

\(log(1) = log(11(0.81)^t)\)

0 = log(11) + t * log(0.81)

Using logarithm properties, we can rearrange the equation to solve for t:

t = (log(1) - log(11)) / log(0.81)

t ≈ 16.58

Therefore, it takes approximately 16.58 hours until only 1 mg of the drug remains in the body.

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a) To find the elements of the set \(XY\), we need to concatenate each element of \(X\) with each element of \(Y\  b) To list the elements of \(X^*\) of length 4 or less, we need to consider all possible combinations of elements from \(X\) with repetition.

Since the maximum length is 4, we can have elements with lengths 1, 2, 3, or 4. The elements of \(X^*\) are:

where ε represents the empty string.

c) To provide a regular expression for \(X^*\), we can represent the elements of \(X^*\) using the alternation operator \(+\). The regular expression for \(X^*\) is:

This regular expression matches any combination of elements from \(X\) including the empty string.

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The value after multiplying the given mixed fractions is 7/6   .

In the question ,

it is given that ,

the two mixed fraction are given as \(-2\frac{1}{4}\)  and \(-1\frac{1}{3}\)  ,

we need to find their value after multiplication .

we first convert the mixed fractions into improper fraction ,

So ,

\(-2\frac{1}{4}\) = (-2×4+1)/4 = (-8+1)/4 = -7/4

and

\(-1\frac{1}{3}\) = (-1×3+1)/3 = (-3+1)/3 = -2/3

So , the product of -7/4 and -2/3 is written as

= -7/4 × -2/3

= (-7 × -2)/(4 × 3)

= 14/12

after simplifying ,

= 7/6

Therefore , The value after multiplying the given mixed fractions is 7/6   .

The given question is incomplete , the complete question is

Find the value after multiplying the given mixed fraction \(-2\frac{1}{4} \times -1\frac{1}{3}\)   .

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The answer to this  system of inequalities 20x + 5y ≥ -10 , 12x - 3y ≥ -6 is: x ≥ -1/2 and y ≥ 0.

We can start by dividing each term by the greatest common factor (GCF) to simplify both inequalities. The GCF in this instance is 5.

The system is now:

4x + y ≥ -2

12x - 3y ≥ -6

We can multiply the first inequality by three and add it to the second inequality to get rid of y:

(3) (4x + y ≥ -2) => 12x + 3y ≥ -6

12x - 3y ≥ -6

The result of adding the two inequality is:

24x ≥ -12

When we multiply both sides by 24, we get:

x ≥ -1/2

In order to solve for y, we can now enter this value of x into either of the initial inequalities.

20x + 5y ≥ -10

If we replace x with -1/2

20(-1/2) + 5y ≥ -10

If we simplify

-10 + 5y ≥ -10

10 is added to both sides

5y ≥ 0

When we multiply both sides by 5

y ≥ 0

So, the inequality system is:

x ≥ -1/2 and y ≥ 0.

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Answer:

A

Step-by-step explanation:

The parentheses are switched around, making the answer still the same. However, for Answer choice C, it is Commutative Property because the factors are switched around.

=====================================================

Explanation:

The equation shown for choice A is in the form p*(q*r) = (p*q)*r which is the general format for the associative property of multiplication.

In this case, p = 2.5, q = 1/5 and r = 2/3.

The order of p,q,r stays the same while the parenthesis shift around. The stuff in the parenthesis is done first before anything else. Though with multiplication, the order doesn't matter which is why we can freely shift the parenthesis like this.

Addition has a similar rule which says p+(q+r) = (p+q)+r.

Appraisal , If the insured and this insurer are unable to reach an understanding regarding the actual cash value or the extent of the loss, then, upon the written demand of either party, each shall choose a qualified and impartial appraiser and notify the other of the appraiser selected within 20 days of the demand.

What does the word "appraisal" mean?

A valuation by an authorized person of a piece of property, such as real estate, a company, a collectible, or an antique, is known as an appraisal.          

                                            An accreditation from a regulatory body overseeing the appraiser's area of practice is required for an authorized appraiser.

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