Find a₁ for the geometric series described.
Sn = -26,240, n = 8, r = -3

Answers

Answer 1

The first term of the geometric series is 16.

How to find the  a₁ for the geometric series

Using the formula for the sum of a geometric series to solve for the first term (a₁):

Sn = a₁(1 - rⁿ)/(1 - r)

Substituting the given values, we get:

-26,240 = a₁(1 - (-3)⁸)/(1 - (-3))

Simplifying the exponent and denominator, we get:

-26,240 = a₁(1 - 6,561)/(4)

-26,240 = a₁(-6,560/4)

-26,240 = a₁(-1,640)

Dividing both sides by -1,640, we get:

a₁ = 16

Therefore, the first term of the geometric series is 16.

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Related Questions

10- Every time we...............
to that restaurant, my stomach gets upset.

went.
have gone.
will go.
go

Answers

Answer:

Step-by-step explanation:

Went is the correct answer

For each problem, select the best response (a) A x2 statistic provides strong evidence in favor of the alternative hypothesis if its value is A. a large positive number. OB. exactly 1.96 c. a large negative number. D. close to o E. close to 1

Answers

(a) Option A, if its value is a large positive number, statistic A x2 provides strong evidence for the alternative hypothesis.

(b) Option B, the null hypothesis that gender is not related to personal goals and the alternative hypothesis that gender is related to personal goals.

(c) Option B, the variables considered in the chi-square test for the evaluation of contingency table B are categorical variables.

(a) If the x2 statistic is a large positive number, it provides strong evidence for the alternative hypothesis. The x2 statistic is used in hypothesis testing to determine if there is a significant difference between observed and expected frequencies. Large positive values ​​indicate that the observed frequency is significantly different from the expected frequency, supporting the alternative hypothesis.

(b) The hypotheses tested in the chi-square test for the contingency table are the null hypothesis that gender is not related to personal goals and the alternative hypothesis that gender is related to personal goals. personal goals. This test determines whether there is a significant relationship between two categorical variables.

(c) The variables considered in the chi-square test used to evaluate the contingency table are categorical variables. These variables cannot be assumed to be mean or normally distributed. The chi-square test is used to analyze the relationship between two or more categorical variables, where each variable has a discrete set of categories.

Complete Question:

For each problem, select the best response (a) A x2 statistic provides strong evidence in favor of the alternative hypothesis if its value is A. a large positive number. OB. exactly 1.96 c. a large negative number. D. close to o E. close to 1. (b) A study was performed to examine the personal goals of children in elementary school. A random sample of students was selected and the sample was given a questionnaire regarding achieving personal goals. They were asked what they would most like to do at school: make good grades, be good at sports, or be popular. Each student's sex (boy or girl) was also recorded. If a contingency table for the data is evaluated with a chi-squared test, what are the hypotheses being tested? A. The null hypothesis that boys are more likely than girls to desire good grades vs. the alternative that girls are more likely than boys to desire good grades. OB. The null hypothesis that sex and personal goals are not related vs. the alternative hypothesis that sex and personal goals are related. C. The null hypothesis that there is no relationship between personal goals and sex vs. the alternative hypothesis that there is a positive, linear relationship. OD. The null hypothesis that the mean personal goal is the same for boys and girls vs. the alternative hypothesis is that the means differ. O E. None of the above. (C) The variables considered in a chi-squared test used to evaluate a contingency table A. are normally distributed. B. are categorical. C. can be averaged. OD. have small standard deviations. E. have rounding errors.

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Anthony owns a bakery and buys raw eggs in packs of 50 for $5.00 each. The delivery is a set fee of $10.00. If Anthony has $100.00 to spend, what is the domain of this function,
where a represents the number of packs of eggs?

Anthony owns a bakery and buys raw eggs in packs of 50 for $5.00 each. The delivery is a set fee of $10.00.

Answers

Answer:

B.

Step-by-step explanation:

The set of all real numbers where  1≤x<18.

6. Which equation represents: "Seven times the difference of a number and tenis
equal to the same number increased by 2.

Answers

Answer:

12

Step-by-step explanation:

let the number=x

7(x-10)=x+2

7x-70=x+2

7x-x=2+70

6x=72

x=72/6=12

The correct answer would be 12

Length of a right t !!!!!!!!!!!!!

Length of a right t !!!!!!!!!!!!!

Answers

The answer is D. 39

a²+b² = c²
15²+36² = c²
225+1296 = c²
1521 = c²
Square root of 1521 = c
So, c = 39

Which of the following is the correct way to report the results of a hypothesis test and a measure of effect size using a t
statistic?
A) t(19)=2.30,r2=0.42,p<0.05
B) t(19)=2.30,p<0.05,r2=0.42
C) r2=0.42,t(19)=2.30,p<0.05
D) t=2.30,df=19,p<0.05,r2=0.42

Answers

the correct way to report the results of a hypothesis test and a measure of effect size using a t-statistic is option A: t(19)=2.30, r2=0.42, p<0.05.



The correct way to report the results of a hypothesis test and a measure of effect size using a t-statistic depends on the specific journal or style guide you are using. However, in general, the most common format is to report the t-value, degrees of freedom, and p-value first, followed by the measure of effect size.


So, looking at the options provided, we can eliminate option D because it only reports the t-value, degrees of freedom, p-value, and effect size all at once without separating them. Now, we are left with options A and B. Both options report the t-value, degrees of freedom, and p-value first, followed by the effect size. However, there is a difference in the order of the p-value and effect size. Option A reports the effect size as r2=0.42 after the p-value, while option B reports the effect size as r2=0.42 before the p-value.

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What is another way to write the absolute value inequality lp|≤12?
O-12≤p≤ 12
O-12≥p≤12
O-12≤por p≤ 12
O-12≥por p≤ 12

Answers

Another way to write the absolute value inequality lp|≤12 is -12≤p≤12

Inequality expressions

Inequality are expression not separated by an equal sign. Given the inequality expression

lp|≤12

The modulus can be positive or negative

If positive, p ≤12 and if negative -p≤12 or p ≥- 12

Combine both solutions

-12≤p≤12

Hence another way to write the absolute value inequality lp|≤12 is -12≤p≤12

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eight points are spaced around at intervals of one unit around a square, as shown. two of the points are chosen at random. what is the probability that the two points are one unit apart?

Answers

2/7  is the probability that the two points are one unit apart .

Describe probability using an example?

A number between 0 and 1 is the probability of an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.        

                                 The likelihood of an event occurring increases as its probability increases. The flip of a fair (impartial) coin serves as a straightforward illustration.

The two points are one unit apart at 8 places around the edge of the square.

There are \(( ^{8} _{2} )\) = 28  ways to choose two points.

The probability is  8/28  =  2/7

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All points of the step function f(x) are graphed.

On a coordinate plane, a step graph has horizontal segments that are each 2 units long. The left end of each segment is an open circle. The right end of each segment is a closed circle. The left-most segment goes from (negative 4, 1) to (negative 2, 1). Each segment is 1 unit higher and 2 units farther to the right than the previous segment. The right-most segment goes from (2, 4) to (4, 4).
What is the domain of f(x)?

{x| –4 < x ≤ 4}
{x| –3 < x ≤ 4}
{x| 1 < x ≤ 4}
{x| 2 < x ≤ 4}

Answers

Answer:

  (a)  {x| –4 < x ≤ 4}

Step-by-step explanation:

The domain is the horizontal extent of the graph.

Your problem statement tells you the left end is an open circle at x=-4, and the right end is a closed circle at x=4. The domain is ...

  -4 < x ≤ 4

Answer:A

Step-by-step explanation:

Abenfos has a rectangular field.it is 85m long and 25m wide. How long is the fence round the field?

Answers

Answer:

The fence must have:

220 meters

Step-by-step explanation:

The perimeter of the field is equal to the long of the fence round the field.

then:

perimeter = 2(long + wide)

perimeter = 2(85 + 25)

perimeter = 2*110

perimeter = 220m

Pls answer the qestion

Pls answer the qestion

Answers

Answer:

Step-by-step explanation:

Pls answer the qestion

if an object is moving at -1.7 m/s for 20 seconds what is its displacement?

Answers

Answer:

0.085 m

Step-by-step explanation:

change in displ. = change in velocity ÷ change in time

so,

x = v ÷ t

= -1.7 m/s ÷ 20s

=0.085 m

Answer:

0.085 m

......:.:.:.:.

Krystal is catering a dinner for an organization. Dessert will be homemade ple and 1 cup of either chocolate or vanilla ice cream. The chocolate ice cream costs
$8 per gallon and the vanilla ice cream costs $6 for a 5-quart container. There are 4 cups in 1 quart and 4 quarts in 1 gallon; therefore, each container of
chocolate ice cream contains 16 servings and each container of vanilla ice cream contains 20 servings. Based on the budget, Krystal wants to spend no more
than $70 on ice cream, and she needs at least 150 servings of ice cream.
Let c represent the number of gallons of chocolate ice cream and v represent the number of 5-quart containers of vanilla ice cream.
Which system of inequalities can be used to determine the number of gallons of chocolate ice cream and the number of 5-quart containers of vanilla ice cream
that Krystal can buy for this dinner?
A
B
C
D
6c+8v ≤ 70
16c+20v > 150
8c + 6v 2 70
16c+20v ≤ 150
8c + 6v < 70
16c+20v < 150
8c + 6v ≤ 70
16c+20v2 150

Krystal is catering a dinner for an organization. Dessert will be homemade ple and 1 cup of either chocolate

Answers

Option A is the answer. The system of inequalities that can be used to determine the number of gallons of chocolate ice cream and the number of 5-quart containers of vanilla ice cream that Krystal can buy for this dinner is:

8c + 6v ≤ 70

8c + 6v ≤ 7016c + 20v ≥ 150

Step by step explanation of the inequality

The cost of c gallons of chocolate ice cream is $8c, and the cost of v containers of vanilla ice cream is $6v. Krystal wants to spend no more than $70 on ice cream, so the inequality for the total cost of ice cream is:

8c + 6v ≤ 70

Krystal needs at least 150 servings of ice cream, and each gallon of chocolate ice cream provides 16 servings, while each container of vanilla ice cream provides 20 servings. The inequality for the total number of servings of ice cream is:

16c + 20v ≥ 150

Therefore, the system of inequalities that can be used to determine the number of gallons of chocolate ice cream and the number of 5-quart containers of vanilla ice cream that Krystal can buy for this dinner is:

8c + 6v ≤ 70

16c + 20v ≥ 150

Option A is the correct answer.

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Aria is working two summer jobs, making $16 per hour lifeguarding and $8 per hour washing cars. Last week Aria worked a total of 12 hours and earned a total of $112. Graphically solve a system of equations in order to determine the number of hours Aria worked lifeguarding last week, x, and the number of hours Aria worked washing cars last week, y.

Answers

Taking into account the definition of a system of linear equations, the number of hours Aria worked lifeguarding and washing cars last week is 2 and 10 respectively.

System of linear equations

A system of equations contains two or more linear equations that share two or more unknowns.

To find the solution to a system of equations, you must find the values of the unknowns that satisfy all the equations in the system.

This case

In this case, a system of linear equations must be proposed taking into account that:

"x" is the number of hours Aria worked lifeguarding last week."y" is the number of hours Aria worked washing cars last week.

You know:

Aria is working two summer jobs, making $16 per hour lifeguarding and $8 per hour washing cars. Last week Aria worked a total of 12 hours and earned a total of $112.  

So, the system of equations to be solved is

x + y= 12

16x + 8y= 112

The graphical method to solve a system of equations consists of representing the equations and calculating their intersection point. This point is the solution of the system because its coordinates satisfy both equations.

In this case, when graphing both equations of the system of equations (attached graph), it is obtained that the point of intersection is (2,10). This indicates that the number of hours Aria worked lifeguarding last week is 2 and the number of hours Aria worked washing cars last week is 10.

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Aria is working two summer jobs, making $16 per hour lifeguarding and $8 per hour washing cars. Last

FIND THE DIFFERENCE:
(3x^2-5x+2)-(2x^2+2x-1)

1. 5x^2+3x-1
2. X^2-7x+3
3.5x^2+7x-1
4.other_________

Answers

Answer:

2. X^2-7x+3

Step-by-step explanation:

Name the constants in the expression below.

-8 - 6y + 7 - 8c

Answers

Answer:

-87

I hope this helps!

Answer:=

8

c

6

y

1

Step-by-step explanation:= -8c -6y -1

what is the slope of (-2, 2) and (3, 4)?

Answers

Answer:

2/5

Step-by-step explanation:

m = (2-4)/(-2-3) = 2/5

what is the slope of (-2, 2) and (3, 4)?

Which of the following inequalities matches the graph? (1 point)

Which of the following inequalities matches the graph? (1 point)

Answers

Answer:

there were no inequalities to choose from but I believe the answer is y ≤ 4x

Step-by-step explanation:

SOMEONE PLZ HELP IM SO LOST ILL GIVE U BRAINLIEST

Answers

Answer:

What is a Proof?

A series of steps, with justifications, that verifies a theorem or relationship exists

Types of Proofs

Two-column Proofs a table with two columns; the first column is the mathematical statement, and the second column is the justification

Paragraph Proofs a type of proof that explains the rationale for each step using complete sentences in paragraph form

Flow Chart Proofs a diagram that contains the steps of the proof and the justification for each one

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

SOMEONE PLZ HELP IM SO LOST ILL GIVE U BRAINLIEST
SOMEONE PLZ HELP IM SO LOST ILL GIVE U BRAINLIEST
SOMEONE PLZ HELP IM SO LOST ILL GIVE U BRAINLIEST
SOMEONE PLZ HELP IM SO LOST ILL GIVE U BRAINLIEST
SOMEONE PLZ HELP IM SO LOST ILL GIVE U BRAINLIEST

what are the two next numbers in this sequence.

12,14,18,26,42, ,

Answers

Answer:

74 , 138

Step-by-step explanation:

12 + 2 = 14

14 + 4 = 18

18 + 8 = 26

26+16 = 42

42+32= 74

74+64 =138

please make my answer as brainelist

The price of an item yesterday was $140 Today, the price rose to $322 Find the percentage increase.

Answers

Answer:

130% increase

Step-by-step explanation:

(322-140)/140(100)=130% increase.

(you set the final price on top, and original price in the denominator, and x/100 is the rate of increase)

cross multiply, and you get 130%.

Please help me with this question!!!!!

Please help me with this question!!!!!

Answers

h = 11.9 cm

cos = adjacent/ hypotenuse

therefore:

cos(24) = h/ 13

rearrange:

h = 13cos(24)

put into calculator:

h = 11.8760...

rounded to one decimal point:

h = 11.9cm

Write: y - 6 = -12(x+4) in slope intercept form-

Answers

Answer:

y= -12x - 42

Step-by-step explanation:

slope intercept form is y=mx +b

y-6 = -12(x+4)     simplify

y - 6 = -12x - 48    separate y by adding 6 to both sides of the equation

y = -12x - 42

(d) an 802.11ac wi-fi network consists of an 8 antenna ap and 6 stations with the following numbers of antennas: • station a has 4 antennas • station b has 2 antennas • station c has 2 antennas • station d has 1 antenna • station e has 1 antenna • station f has 1 antenna

Answers

The total number of antennas in the 802.11ac Wi-Fi network, considering the AP and the stations, is 32 antennas.

The access point (AP) has 8 antennas, which are used for transmitting and receiving signals. The stations, which are the devices connected to the Wi-Fi network, have the following numbers of antennas:

Station A: 4 antennas

Station B: 2 antennas

Station C: 2 antennas

Station D: 1 antenna

Station E: 1 antenna

Station F: 1 antenna

To find the total number of antennas in the network, we simply add up the number of antennas for each device. Therefore, the total number of antennas in the network is 8 (AP antennas) + 4 + 2 + 2 + 1 + 1 + 1 = 19 antennas.

However, it's important to note that the question states that the network consists of an 8-antenna AP and 6 stations. This implies that the AP is separate from the stations and contributes its own set of antennas. Therefore, the total number of antennas in the 802.11ac Wi-Fi network, including the AP and the stations, is 8 + 4 + 2 + 2 + 1 + 1 + 1 = 19 + 8 = 27 antennas.

In summary, the 802.11ac Wi-Fi network consists of a total of 32 antennas (8 from the AP and 24 from the stations).

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The number of hours of sunshine in Barbados for successive days during a and 11.8. Find the daily certain week were 11.1, 11.9, 11.2, 12.0, 11.7, 12.9 average. The following week the daily average was 11 hours. How many more hours of sunshine were there the first week than the second?​

Answers

Answer:

5.6

Step-by-step explanation:

11*7=77

11.8*7= 82.6

82.6-77=5.6

Evaluate f(-2) if f(x) = x + 3
OC
bh

Evaluate f(-2) if f(x) = x + 3OCbh

Answers

\(\\ \sf\longmapsto f(x)=x+3\)

\(\\ \sf\longmapsto f(-2)\)

\(\\ \sf\longmapsto -2+3\)

\(\\ \sf\longmapsto 1\)

☆Answer : f(x) = x + 3

f(-2) = -2 + 3

f(-2) = 3 - 2

f(-2) = 1

Plot the ordered pairs on your grid paper, connect, and label them accordingly.
Line Segment A (0, 7); (0, 9)

Line Segment B (3, 9); (4.5, 9)

Line Segment C (4.5, 8); (4.5, 10)

Which line segment is 1.5 units long?

Answers

From what I got I would say B

Jesse wants to buy a guitar that cost $2000 however he cannot afford the full payment and in order to take you home he needs to leave a 12% down payment how much does Jessie need to pay to take the guitar home

Answers

Answer:

$240

Step-by-step explanation:

Step one:

given data

we are told that the cost of the guitar is $2000

and that 12% of the cost must be paid for Jesse to take the guitar home.

Hence we aim to know what 12% of $2000 is

Step two:

The expression is

=12/100*2000

=0.12*2000

=240

This means that Jesse must pay $240 before he can take the guitar home

Need help ASAP! Sorry for the low-ish quality

Need help ASAP! Sorry for the low-ish quality

Answers

It’s B I used the calculator

7. Arby's offers college students a 10% discount. Jason and his friends went there for
lunch and bought food for $33.70. How much did it cost after they received the 10%
student discount?​

Answers

Answer:

30.33

Step-by-step explanation:

33.70 x .10= 3.37 (discount)

33.70 - 3.37= 30.33

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