5 increased by the product of 2 and t​

The sequence is decreasing as n increases and sequence converges to the value 0.

The given sequence is defined as aₙ = 1 / (7n + 3).

To determine if the sequence converges or diverges, we need to analyze its behavior as n approaches infinity.

As n increases, the denominator 7n + 3 also increases which means that the values of aₙ will get smaller and smaller, approaching zero as n becomes larger.

The sequence converges to the value 0.

The sequence is decreasing as n increases.

The sequence converges to the value 0.

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Answer:

3190 is the answer may i have brainly?

Step-by-step explanation:

Therefore, if Wes and Trina choose Loan B, they will end up paying $43,541 more in interest over the life of the loan compared to Loan A.

Percent is a term used to express a proportion or a fraction of a quantity out of 100. It's also important to note that percentages can be used to represent increases or decreases in a quantity relative to its original value.

Here,

To calculate the total payback for each loan, we need to calculate the total amount of money that Wes and Trina will pay over the course of the loan. This includes the principal amount (the $205,000 borrowed) plus the interest.

For Loan A:

Monthly payment = $978.70

Total number of payments = 30 years x 12 months/year = 360 payments

Total amount paid = $978.70 x 360 = $352,632

For Loan B:

Monthly payment = $1,100.48

Total number of payments = 30 years x 12 months/year = 360 payments

Total amount paid = $1,100.48 x 360 = $396,173

So the total payback for Loan A is $352,632 and the total payback for Loan B is $396,173.

To calculate the difference in interest paid between the two loans, we can subtract the principal amount from the total amount paid for each loan and compare the results:

For Loan A:

Total amount paid = $352,632

Principal amount = $205,000

Interest paid = $352,632 - $205,000 = $147,632

For Loan B:

Total amount paid = $396,173

Principal amount = $205,000

Interest paid = $396,173 - $205,000 = $191,173

So the difference in interest paid between the two loans is:

$191,173 - $147,632 = $43,541

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Total water bill for the month is $62.37.

It seems that you may have accidentally left out the total amount of your water bill.

The total amount by simply adding the amounts of the individual bills together:

Total water bill =\($36.34 + $26.03\)

= \($62.37\)

You have not provided enough information to determine your total water bill.

You have only given the amounts of your individual bills from Metro Water Services and Madison Suburban Utility District.

To find your total water bill, you simply need to add the two bills together.

So, the total amount you owe for water this month would be:

Total water bill = \($36.34 + $26.03\)

= \($62.37\)

It appears that you may have forgotten to include the full amount of your water bill by accident.

Simple addition of the separate bill amounts yields the following sum:

Water bill total = \($36.34 + $26.03\)

= \($62.37\)

Your total water bill cannot be calculated because not enough information has been given.

Only the amounts of your individual Metro Water Services and Madison Suburban Utility District bills have been provided.

You just need to combine the two invoices together to get your total water bill.

As a result, this month's total water bill for you would be:

Water bill total =  \($36.34 + $26.03\)

= \($62.37\)

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Equation/Question:

-6x-(-8)=2

Answer/Way I did it:

1. Remove parentheses.

-6x+8=2

2. Subtract 8 from both sides.

-6x=2-8

3. Simplify  2-8 to  -6.

-6x=-6

4. Divide both sides by -6.

x=1

-------------

Checking:

Equation/Question:

−6x−(−8)=2

----------------------

1. Let x=1.

−6×1+8=2

2. Simplify  -6×1  to  −6.

-6+8=2

3. Simplify  -6+8 to  2.

2=2

Done by NeighborhoodDealer

Answer:

3/8 or 3:8

Step-by-step explanation:

pink : not pink

6 : 16

Think of it as a fraction. Simplify it in the same way.

6/16 simplifies to 3/8

So the pink:notpink ratio is 3/8 or 3:8

The time on which parents evening was due to finish was 19 hour 20 minutes.

Time is the ongoing pattern of existence and things that happen in what seems to be an irreversible order from the past, through the present, and into the future.

It is a component quantity of various measurements used to order events, compare the length of events or the time gaps between them, and quantify rates of change of quantities in objective reality or in conscious experience. Along with the three spatial dimensions, time is frequently considered a fourth dimension.

The International System of Units is built upon the seven base units of measurement stipulated by the Système International d'Unités (SI), from which all other SI units are derived. The primary unit of time is the second. The second can be shortened using either the letter S or the letter sec.

20 consecutive appointments of 10 mins = 20 × 10 mins

                                                                     = 200 min

                                                                      = 3 hours 20 mins

A break of 15 mins = 3 hours 20 mins + 15 min

                               = 3 hours 35 mins

The time that the parents evening due to finish = 15h 45 min +3h 35 mins

                                                                               = 19h 20min

Thus, the time on which parents evening was due to finish was 19h 20min.

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Answer:

The answer is "\(\chi^2_{L} = 4.575 \ and\ \chi^2_{U}= 19.675\)"

Step-by-step explanation:

\(n=12\\\\\ c= 0.9\)

Calculating the level of significance \((\alpha) = 1 -c\)

                                                                  \(=1-0.9\\\\=0.1\)

Calculating the degrees of freedom:

\(df=n-1=12-1=11\)

Calculating the critical value:

Applying the Chi-Square table, the critical values for the two-tailed test with a degree of freedom  (11) for the significance level of \(\alpha = 0.1\):

\(\chi^2_{L} = 4.575 \\\\\chi^2_{U}= 19.675\)

Answer:

Design 1: 151.19≤x≤160.37

Design 2: 152.46≤x≤155.88

Step-by-step explanation:

Confidence interval formula is expressed as;

CI = xbar ± Z×σ/√n

xbar is the mean of the sample

σ is the standard deviation

n is the sample size

z is the z score at 80% confidence level

For Design 1:

158.5 138.4 168.1 149.4 145.8 168.7 154.4 162.9

xbar = Sum of the samples/sample size

Sum of samples = 158.5+ 138.4+ 168.1+149.4+ 145.8+ 168.7+ 154.4+ 162.9

Sum of samples = 1246.2

Sample size = 8

xbar = 1246.2/8

xbar = 155.78

Standard deviation

σ = √\sum(x-xbar)²/N

σ = (158.5 - 155.775)² + ... + (162.9 - 155.775)²/8

= 821.075/8

= 102.634375

= √102.634375

= 10.13

σ = 10.13

CI = 155.78±(1.282×10.13/√8)

CI = 155.78±(1.282×3.5815)

CI = 155.78±(4.5915)

CI = {155.78-4.5915, 155.78+4.5915}

CI = {151.19, 160.37}

The range for the true mean is 151.19≤x≤160.37

For Design 2:

150.3 155.4 151.6 158.8 151.4 150.8 161.4 157.6 156.8 147.6

xbar = Sum of the samples/sample size

Sum of samples = 150.3+ 155.4+ 151.6+158.8 +151.4+ 150.8+ 161.4 +157.6+ 156.8 +147.6

Sum of samples = 1541.7

Sample size = 10

xbar = 1541.7/10

xbar = 154.17

Standard deviation

σ = (150.3 - 154.17)²+ ... + (147.6 - 154.17)²/10

σ = 177.681/10

σ = 17.7681

σ = √17.7681

σ = 4.22

CI = 154.17±(1.282×4.22/√10)

CI = 154.17±(1.282×1.3345)

CI = 154.17±(1.7108)

CI = {154.17-1.7108, 154.17+1.7108}

CI = {152.46, 155.88}

The range for the true mean is 152.46≤x≤155.88

Answer:

Let us set up a ratio to find the relationship between side lengths of the two triangles.

25:10

5:2

We can divide both sides by two, but there's no need as the smaller triangle has multiples of two.

So, if XZ is 6, let's place it into the ratio and find what "x" is.

5(3) : 2(3)

15 : 6

x = 15

ACF is a 30º-60º-90º triangle because of the following:

1) Based on a theorem, in a 30°-60°-90° triangle the sides are in the ratio 1 : 2 : \(\sqrt{3}\)

1 → short leg

2 → hypotenuse

\(\sqrt{3}\) → long leg

Side length of the hexagon is the short leg of the triangle. It is 1.

r1 is the radius of the incircle in a regular hexagon. 2(r1) is the diameter of the incircle. It is also the hypotenuse of the right triangle. It is 2.

Using Pythagorean theorem.

\(a^2 + b^2 = c^2\)

\(1^2 + b^2 = 2^2\)

\(b^2 = 2^2 - 1^2\)

\(b^2 = 4 - 1\)

\(b^2 = 3\)

\(\sqrt{b^2} = \sqrt{3}\)

\(b = \sqrt{3}\)

The 22 half-pieces Kristin had from cutting the sheets she started with and the 7 pieces she found, indicates, that the solution to the word problem is that the number of sheets of paper Kristin started with are;

A word problem is a mathematical question in which the scenario of the question is described using verbal terms, or complete sentences, rather than mathematical symbols or expressions, but which are solved using mathematical calculations.

Let x represent the initial number of paper Kristin had.

The extra number of papers Kristin found = Seven more pieces

The size in which Kristin cut each piece of paper = In half

The number of pieces she had after cutting the papers = 22 half-pieces

Therefore, the following equation can be used to find the number of sheets of paper, x, she started with;

2 × (x + 7) = 22

2 × (x + 7)/2 = 22 ÷ 2 = 11

x + 7 = 11

x = 11 - 7 = 4

The number of sheets of paper Kristin started with, x = 4 sheets of paper

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$17 +1.54=$18.53×35hrs=648.55

10%of 17=1.7

5%=0.85

1%=0.17×4=0.68

0.68+0.85=1.53

maybe its A?

Answer:

X=32, Y=148

Step-by-step explanation:

X is 32 degrees because it is parallel to that 32 between f and b.

Y is 148 degrees because x and y together make a straight line and a straight line is 180 degrees therefore, 180-32 = 148.

According to the Empirical Rule, 99.7% of the measures fall within 3 standard deviations of the mean in the normal distribution.

The Empirical Rule states that, for a normally distributed random variable, the symmetric distribution of scores is presented as follows:

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Substituting into point-slope form,

\(y+5=-\frac{5}{3}(x-15)\\\\y+5=-\frac{5}{3}x+25\\\\\boxed{y=-\frac{5}{3}x+20}\)

Answer:

\(\tan \theta ~~ \text{and}~~ \tan( \pi - \theta)\)

Step-by-step explanation:

\(\textbf{A)}\\\\-\tan \dfrac{3 \pi}4 = - \tan\left(2 \times \dfrac{\pi}2 - \dfrac{\pi}4 \right) = - \left(- \tan \dfrac{ \pi}4 \right) = \tan \dfrac{\pi}4\\\\\textbf{These pairs are equal.}\\\\\\ \textbf{B)}\\\\\tan \left( \dfrac{5 \pi}4 \right) = \tan \left( 2 \times \dfrac{\pi}2 + \dfrac{\pi}4\right) = \tan \dfrac{\pi}4\\\\\textbf{These pairs are equal.}\\\\ \textbf{C)}\\\\\tan \dfrac{\pi}2= - \tan 90^{\circ} = \infty\\\\\\\textbf{These pairs are equal.}\\\\\\ \textbf{D)}\\\\\)

\(\tan ( \pi - \theta ) = - \tan \theta \neq \tan \theta\\\\\textbf{These pairs are not equal.}\)

Answer:

x=13

Step-by-step explanation:

50+3x=89

89-50=3x

39=3x

13=x

Answer:

It would cost $116 for a group of 8 people.

Step-by-step explanation:

You would divide 145/10 to find the cost for 1 group (which would be $14.5). Then, you would multiply 14.5x8 to get your answer of $116.

Answer:

$116

Step-by-step explanation:

1. First, let's find how much it costs for 1 person to attend a concert by dividing 145 by 10.

2. Next, let's multiply 14.5 by 8.

Therefore, it costs a group of 8 people $116 to attend a concert.

The value οf the variable y is 9 when k is -3 in the given question.

In mathematics and statistics, a variable is a quantity οr a characteristic that can take οn different values οr attributes. Variables can be classified as either quantitative οr categοrical, depending οn the type οf data they represent.

A quantitative variable is a variable that represents a numerical measurement οr quantity. Examples οf quantitative variables include height, weight, temperature, and incοme.

A categοrical variable is a variable that represents a grοup οr categοry. Examples οf categοrical variables include gender, race, and type οf car.

Given: y=k x

where, x= -3 and k= -3

we can find the value of y by multiplying k with x,

so, y=k x

now, putting values as follows:

we get, y = -3 × -3

               = 9

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Using the volume of a cylinder, it is found that the approximate height of the container in inches is given by:

d. 15.48

The volume of a cylinder of radius r and height h is given by:

\(V = \pi r^2h\)

In this problem, Sam pours 3 gallons of water into a cylindrical container, and it will be 90% full. Hence, the volume, in cubic feet, is:

\(0.9V = \frac{3}{7.48}\)

\(V = \frac{3}{0.9(7.48)}\)

\(V = 0.4456\)

The diameter of the container is 8 inches, hence the radius is of 4 inches = 0.3333 feet, considering a feet has 12 inches.

The height, in feet, will be given by:

\(V = \pi r^2h\)

\(0.4456 = (0.3333)^2\pih\)

\(h = \frac{0.4456}{(0.3333)^2\pi}\)

\(h = 1.2768\)

Considering a feet has 12 inches, in inches, the height will be of:

1.2768 x 12 = 15.48

Hence option D is correct.

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In triangle QRS, ∠S=67⁰ if ∠R =∠S and ∠Q=46⁰

An angle is a figure in Euclidean geometry made up of two rays that share a vertex, or common endpoint, and are referred to as the sides of the angle. Two planes intersecting at an angle also produces an angle.

A measure of an angle or of a rotation is also referred to as an angle. The ratio of a circular arc's length to radius is known as this quantity. When it comes to a geometric angle, the arc's vertex serves as its center and its sides as its boundaries. When there is a rotation, the arc is defined by the rotation's image and any other point other than the rotation's center.

In triangle QRS,

And from the figure,

∠R=∠S

Therefore,

∠R+∠S+∠Q=180⁰

2∠S+46⁰=180⁰

2∠S=134⁰

∠S=67⁰

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The approximate length of one side of the tissue box which has a volume of about 90 cubic inches is 4.5 inches.

Volume of cube is the amount of quantity, which is obtained by it in the 3 dimensional space.

The volume of the cube can be given as,

\(V=a^3\)

Here, (a) is the side of the cube.

A tissue box, shaped like a cube, has a volume of about 90 cubic inches. Put the value of volume in above formula,

\(90=a^3\\a^3=90\\a=\sqrt[3]{90}\\a=4.48\\a\approx 4.5\rm\; in\)

Thus, the approximate length of one side of the tissue box which has a volume of about 90 cubic inches is 4.5 inches.

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Answer:

20,7,13. are the most correct for a triangular shape

Given:

To find the exact value:

We know the formula,

If we take,

Then, the given problem can be rewritten as,

Cancelling cos and its inverse we get

Hence, the exact value is,

The probability that the sample's mean length is greater than 6.3 inches is0.8446.

Here, we have,

Given mean of 6.5 inches, standard deviation of 0.5 inches and sample size of 46.

We have to calculate the probability that the sample's mean length is greater than 6.3 inches is 0.8446.

Probability is the likeliness of happening an event.

It lies between 0 and 1.

Probability is the number of items divided by the total number of items.

We have to use z statistic in this question because the sample size is greater than 30.

μ=6.5

σ=0.5

n=46

z=X-μ/σ

where μ is mean and

σ is standard deviation.

First we have to find the p value from 6.3 to 6.5 and then we have to add 0.5 to it to find the required probability.

z=6.3-6.5/0.5

=-0.2/0.5

=-0.4

p value from z table is 0.3446

Probability that the mean length is greater than 6.3inches is 0.3446+0.5=0.8446.

Hence the probability that the mean length is greater than 6.3 inches is 0.8446.

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The curved surface area of the cylinder is 48.06 cm².

The circumference of a cylinder is given by the formula:

C = 2πr

where C is the circumference and r is the radius of the base.

In this case, the given circumference is 6 cm.

So, 6 = 2πr

r = 6 / (2π)

r ≈ 0.955 cm

Now, the curved surface area (CSA) of the cylinder using the formula:

CSA = 2πrh

Given the height as 8 cm, we can substitute the values into the formula:

CSA = 2π(0.955 cm)(8 cm)

CSA ≈ 48.06 cm²

Therefore, the curved surface area of the cylinder is 48.06 cm².

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There is no figure mentioned in question is it is not possible to guess answer

Answer:

9:16

Step-by-step explanation:

The ratio of sides of the lengths of rectangles is 3:4.

That is :-

→ Ratio of Area = ( 3 : 4)²

→ Ratio of Area = (3/4)²

→ Ratio of Area = 9/16

→ Ratio of Area = 9:16