Please show step by step

Please Show Step By Step

Answers

Answer 1

Answer:

15th term of the sequence is 36

Step-by-step explanation:

Given in the question,

a₁ = First term = -20

d = common difference = 4

Expression for the nth term of an arithmetic sequence is,

[tex]T_n=a_1+(n-1)d[/tex]

Here, n = number or term

We have to calculate 15th term of the sequence,

[tex]T_{15}=-20+(15-1)(4)[/tex]

     = -20 + 56

     = 36

Therefore, 15th term of the sequence is 36.


Related Questions

I’ll give points + brainalist for correct answer (:

Answers

Answer:

C) 2

Step-by-step explanation:

Emma: Range  = 8

Arianna: Range = 6

The difference in the range is 2 (8-6)

Answer:

C) 2

Step-by-step explanation:

Emma:

Max = 20

Min = 12

Range = 20 - 12

Range = 8

Arianna:

Max = 18

Min = 12

Range = 18 - 12

Range = 6

Difference between the 2 ranges:

8 - 6 = 2

hi! pls help me, this is my last question. :)

Answers

Answer:

The answer is A.

Step-by-step explanation:

Answer:

D: C and D

Step-by-step explanation:

120/12=10

20/5=4

18/3=6

48/8=6

Since C and D have the same answer they are equal.

Help me with this question

Answers

The volume is 90 ! After you add then multiply your answer by 2 you’ll get 90!

Enter the expression using exponents. 11 × 11 × 11 × 11 × 11 =

Answers

Answer:

the answer should be [tex]11^{5}[/tex] or 11^5

Explanation:

Since there are five 11 in the equation, the answer should be [tex]11^{5}[/tex] or 11^5

You shouldn't write 161051 as the answer because it is NOT a exponent.

Suppose IQ scores were obtained from randomly selected couples. For 20 such pairs of people, the linear correlation coefficient is 0.939 and the equation of the regression line is y = -11 + 1.14x, where x represents the IQ score of the husband. Also, the 20 x values have a mean of 100.9 and the 20 y values have a mean of 100.9. What is the best predicted IQ of the wife, that the husband has an IQ of 100? Use a significance level of 0.05. The best predicted IQ of the wife is ______. (Round to two decimal places as needed.)

Answers

Answer:

The wife IQ is 103 when the husband IQ is 100.

Step-by-step explanation:

The given equation of the regression line is y = -11 + 1.14x, where x represents the IQ score of the husband.

If the husband IQ is 100 the the wife IQ is

y = -11 + 1.14x,

y = -11 + 1.14(100)

y = -11 + 114

y = 103

Solve for X. Assume that lines which appear to be diameters are actual diameters. Show work pls.

Answers

9514 1404 393

Answer:

  x = -6

Step-by-step explanation:

The three marked angles total 180°, the number of degrees in a semicircle.

  (x +51) +65 +70 = 180

  x = 180 -186 = -6 . . . . . . . . subtract 186 and simplify

The value of x is -6.

The Nike store sold 99 Kobe Bryant shirts for $24 each. All money will go to a charity in his name.How much money will be going to a charity?​

Answers

Answer:

$2376

Step-by-step explanation:

We love you Kobe <3 We love you Gigi

Starmax is showing the same movie in three theaters. In theater A, 36 of 60 seats are taken. In theater B, 81 seats are taken and 9 are empty. In theater C, 12 of 80seats are empty which theater has the greatest percent of the seats taken?

Answers

Answer:

Theater B.

Step-by-step explanation:

Find out each theatre's percentage of seats taken.

Theater A =

100% = 60

1% = 60 ÷ 100 = 0.60

36 ÷ 0.60 = 60% of the seats taken.

Theater B =

81 + 9 = 90

100% = 90

1% = 90 ÷ 100 = 0.90

81 ÷ 0.90 = 90%

Theater C =

100% = 80

1% = 80 ÷ 100 = 0.80

80 - 12 = 68

68 ÷ 0.80 = 85%

Theater B have the greatest percentage of seats taken out of all 3.

PLZ ANSWER FAST I HAVE TIME LIMIT Find exact values for all the solutions to the equation tan theta= - sqrt3/3 for, -2[tex]\pi[/tex] [tex]\leq[/tex] theta[tex]\leq[/tex] 2[tex]\pi[/tex]

Answers

Answer:90

Step-by-step explanation:

9) Maya has completed 35% of her math test. She answered 14 questions. 6 points
How many questions are on the test? *

Answers

9514 1404 393

Answer:

  40

Step-by-step explanation:

If the number of questions on the test is Q, then we have ...

  35% × Q = 14

Dividing by the coefficient of Q gives ...

  Q = 14/0.35 = 40

There are 40 questions on the test.

ILL GIVE BRAINLEST, find the value of x

Answers

Answer:

in my panies

Step-by-step explanation:

The value of x is 12

The American Community Survey (ACS), part of the United States Census Bureau, conducts a yearly census similar to the one taken every ten years, but with a smaller percentage of participants. The most recent survey estimates with 90% confidence that the mean household income in the U.S. falls between $69,720 and $69,922. Find the point estimate for mean U.S. household income and the error bound for mean U.S. household income.

Answers

Answer:

The point estimate used was of $69,821.

The error bound is of $101.

Step-by-step explanation:

A confidence interval has two bounds, a lower bound and an upper bound.

A confidence interval is symmetric, which means that the point estimate used is the mid point between these two bounds, that is, the mean of the two bounds.

The error bound is half the difference between these two values.

In this question:

90% confidence that the mean household income in the U.S. falls between $69,720 and $69,922.

Point estimate:

(69720+69922)/2 = 69821

The point estimate used was of $69,821.

Error bound:

(69922 - 69720)/2 = 101

The error bound is of $101.


Translate to a quadratic equation, then solve using the quadratic formula.
A positive integer squared plus 5 times its consecutive integer is equal to 11. Find the integers.

Answers

Answer:

The integer is 1

Step-by-step explanation:

Required

Translate and solve

Let the positive integer be x.

So, we have;

The square of the integer is: x^2

Plus 5 times its consecutive integer is: x^2 + 5(x + 1)

Equals 11 is: x^2 + 5(x + 1) = 11

So, we have:

[tex]x^2 + 5(x + 1) = 11[/tex]

Open bracket

[tex]x^2 + 5x + 5= 11[/tex]

Subtract 11 from both sides

[tex]x^2 + 5x -6= 0[/tex]

Expand

[tex]x^2 + 6x - x-6= 0[/tex]

Factorize:

[tex]x(x + 6) - 1(x+6)= 0[/tex]

Factor out x + 6

[tex](x - 1) (x+6)= 0[/tex]

Split

[tex]x - 1 = 0\ or\ x + 6 = 0[/tex]

Solve for x in both cases

[tex]x = 1\ or\ x = -6[/tex]

Since the number is positive, then [tex]x = 1[/tex]

Factor Зу2 - 4у.
y(4 - Зу)
y(Зу - 4)
y(4y-3)

Answers

y(3y-4)
The y can be factored out of both equations

i need help with this pls 9.1k=63.7

Answers

7!!!!!!! i think??????

Answer:

k = 7

Step-by-step explanation:

63 ÷ 9 = 7

PLEASE HELP!!!
A)
B)
C)
D)

Answers

Answer:

b i think

Step-by-step explanation:

Telephone Company Project​

Answers

DONT TRUST LINK
IT IS USED TO STEAL PERSONAL INFORMATION

solve for x please help besties!!

Answers

Answer:

if 2 means multiply by 2, the answer would be 12. If it just is there as a hint then the answer is 24.

Step-by-step explanation:

Hope this helps!

What is a 7 - 0.9 = *

Answers

Answer: 6.1

Step-by-step explanation:

Answer:

6.1

Step-by-step explanation:

have a good day/night may i please have a branlliest

In the diagram, the measures of 1 and 4 are 100. The measure of 5 and 8 are 110. Are lines C and D parallel

Answers

B on Ap3x.............

Answer:

B

Step-by-step explanation:

consider the function and then use calculus to answer the questions that follow 1 1/x 5/x^2 1/x^3 (a) Find the interval(s) where the function is concave up. (Enter your answer in interval notation,do not round). (b) Find the interval(s) where the function is concave down. (Enter your answer in intervalnotation, do not round).

Answers

Answer:

a)[tex]X=((-15-\sqrt{201},(-15+\sqrt{201}),(0,\infty)[/tex]

b)[tex]Y=(\infty,\frac{1}{2}(-15-\sqrt{201} ) ),(\frac{1}{2}()-15+\sqrt{201)},0 )[/tex]

Step-by-step explanation:

From the question we are told that

The Function

[tex]f(x)=1+\frac{1}{x} +\frac{5}{x^2} +\frac{1}{x^3}[/tex]

Generally the differentiation of function f(x) is mathematically solved as

[tex]f(x)=1+\frac{1}{x} +\frac{5}{x^2} +\frac{1}{x^3}[/tex]

[tex]f(x)=\frac{x^3+x^2+5x+1}{x^2}[/tex]

Therefore

[tex]f'(x)=\frac{x^2+10x+3}{x^4}[/tex]

Generally critical point is given as

[tex]f'(x)=0[/tex]

[tex]\frac{x^2+10x+3}{x^4}=0[/tex]

[tex]x=-5 \pm\sqrt{22}[/tex]

Generally the maximum and minimum x value for critical point is mathematically solved as

[tex]f'(-5 \pm\sqrt{22})[/tex]

Where

Maximum value of x

[tex]f'(-5 +\sqrt{22})<0[/tex]

Minimum value of x

[tex]f'(-5 +\sqrt{22})<0[/tex]

Therefore interval of increase is mathematically given by

[tex]f'(-5 -\sqrt{22}),f'(-5 +\sqrt{22})[/tex]

[tex]f(x)<0,-\infty<x<(f'(-5 -\sqrt{22})) ,(f'(-5 +\sqrt{22}))<x<0,0<x< \infty[/tex]

Therefore interval of decrease is mathematically given by

[tex](-\infty,-5 -\sqrt{22}),f'(-5 +\sqrt{22},0),(0,\infty)[/tex]

Generally the second differentiation of function f(x) is mathematically solved as

[tex]f''(x)=\frac{2(x^2+15x+6)}{x^5}[/tex]

Generally the point of inflection is mathematically solved as

[tex]f''(x)=0[/tex]

[tex]x^2+15x+6=0[/tex]

Therefore inflection points is given as

[tex]x=\frac{1}{2} (-15 \pm \sqrt{201}[/tex]

[tex]f''(x)>0,\frac{1}{2}(-15-\sqrt{201}) <x<\frac{1}{2}(-15-\sqrt{201}) <x<0[/tex]

a)Generally the concave upward interval X is mathematically given as

[tex]X=((-15-\sqrt{201},(-15+\sqrt{201}),(0,\infty)[/tex]

[tex]f''(x)<0,-\infty<x<\frac{1}{2}(-15-\sqrt{201}) , \frac{1}{2}(-15-\sqrt{201}) <x<0[/tex]

b)Generally the concave downward interval Y is mathematically given as

[tex]Y=(\infty,\frac{1}{2}(-15-\sqrt{201} ) ),(\frac{1}{2}()-15+\sqrt{201)},0 )[/tex]

Find the value of x.

Answers

The value of x is: A. 38°

The answer is 38 degrees

The Cramer's Rule states that, in a system of equation in two unknowns, in which determinants D is not 0, X=_____and Y=_____.​

Answers

Answer:

Step-by-step explanation:

[tex]x=\frac{D_{1}}{D} \\y=\frac{D_{2}}{D}[/tex]

A coffee machine dispenses normally distributed amounts of coffee with a mean of 12 ounces and a standard deviation of 0.2 ounces. If a sample of 9 cups is selected, find the probability that the mean of the sample will be less than 12.1 ounces.

Answers

Answer:

0.9332 = 93.32% probability that the mean of the sample will be less than 12.1 ounces.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean of 12 ounces and a standard deviation of 0.2 ounces.

This means that [tex]\mu = 12, \sigma = 0.2[/tex]

Sample of 9:

This means that [tex]n = 9, s = \frac{0.2}{\sqrt{9}}[/tex]

Find the probability that the mean of the sample will be less than 12.1 ounces.

This is the pvalue of Z when X = 12.1. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{12.1 - 12}{\frac{0.2}{\sqrt{9}}}[/tex]

[tex]Z = 1.5[/tex]

[tex]Z = 1.5[/tex] has a pvalue of 0.9332

0.9332 = 93.32% probability that the mean of the sample will be less than 12.1 ounces.

What is the answer to: 20 - 6x = 4x -15 = ?

Answers

Answer:

20 - 6x = 4x - 15

35 - 6x = 4x

35 = 2x

x = 15.5

The solution to the equation 20 - 6x = 4x -15 is x = 3.5.

To solve the equation 20 - 6x = 4x - 15,

20 - 6x = 4x - 15

To isolate the variable terms on one side,  add 6x to both sides:

20 - 6x + 6x = 4x - 15 + 6x

20 = 10x - 15

Next, add 15 to both sides to further isolate the variable term:

20 + 15 = 10x - 15 + 15

35 = 10x

Finally, divide both sides by 10 to solve for x:

35/10 = 10x/10

3.5 = x

Therefore, the solution to the equation is x = 3.5.

Learn more about Equation here:

https://brainly.com/question/29657983

#SPJ6

Michael is debating the two job offers below. Determine which will result in a higher income.

OFFER A
$34,500 ANNUALLY

OFFER B
$2,885 MONTHLY

Answers

B

Step-by-step explanation:

In a year, offer B would be more. Since annually is once a year and there are 12 months in a year, multiplying B by 12 would get each to a year.

Determine if the following relations are functions. If they are functions, also state the domain and range.

Answers

Answer:

desculpa mas eu não sei a resposta mais eu vou ver se posso te ajudar taaa

Find the properties of each Quadratic Function

Answers

Answer:

1.) up

2.) (-2,-5)

3.) x = -2

4.) (-2,-5)

5.) y = -5

6.) -∞ < x < ∞

7.) -5 < y < ∞

8.) (0,0)

9.) (0,0) and (-4,0)

10.) two solutions

Step-by-step explanation:

1.) because the parabola opens upward and the vertex is down

2.) the lowest point of the parabola is (-2,-5)

3.) If a line was drawn through the point x = -2, the two halves of the parabola would look symmetrical ( the same on both sides).

4.) The minimum point on the graph is ( -2,-5), because that is the lowest point on this upward parabola, and we can not determine the maximum.

5.) The minimum value of y is y = -5, because that is the lowest value of y on this graph, and we can not determine the maximum.

6.) Because the arms of the parabola continue traveling through negative infinity and positive infinity on the x-axis, the domain is -∞ < x < ∞.

7.) The arms of the parabola go from y = -5 to infinity, so the range of the parabola is -5 < y < ∞.

8.) The parabola first crosses the y-axis at the point (0,0)

9.) The parabola first crosses the x-axis at the points (0,0) and (-4,0)

10,) The solution to the parabola is the variable x. The solutions (x intercepts) of the parabola are x = 0 and x = -4.

Does this help you?

a 300 gallon tank is initially full and water is being drained at a rate of 4 gallons per minute.
does the intercept involving time have any physical meaning in this problem? explain ​

Answers

Answer:

Yes, it's when the tank is out of water.  

Step-by-step explanation:

To if the did I’d end I’d die if didbdj

Janice is rolling a fair number cube that is numbered 1 - 6. Which statement is true?

Answers

Answer:

Where r the statements?

Step-by-step explanation:

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