Find a2 and a3. a1=–5 an=6an–1 Write your answers as integers or fractions in simplest form. a2= a3=
Answers
The value of a2 and a3 given the formula an = 6an – 1 are -61 and -91 to respectively
Given:
an = 6an – 1
where,
a1, = first term= -5
n = number of terms
a2 = second term
a3 = third term
an = 6an – 1
a2 = (6 × -5 × 2) - 1
= (-60) - 1
= -60 - 1
a2 = - 61
an = 6an – 1
a3 = (6 × -5 × 3) - 1
= -90 - 1
a3 = -91
Therefore, the value of a2 and a3 are -61 and -91 respectively
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Related Questions
Suppose you have a sample of 35 children with antisocial tendencies and you are particularly interested in the emotion of surprise. You find that while the average 10 year old has a score of 13.10 on the emotion recognition scale, your sample of 10 year old children with antisocial tendencies has an average score of 14.35 with a standard deviation of 4.63. A higher score represents that it took a higher degree of emotional expression for the child to correctly identify the emotion of surprise, indicating greater difficulty recognizing the emotion. Assume that scores on the emotion recognition scale are normally distributed.
The null hypothesis is that your sample of children with antisocial tendencies would have no more difficulty recognizing emotion than the general population of 10-year olds. Stated using symbols:_________________
(a). this is a ______
(b) tailed test. Given what you know, you will evalute this hypothesis using a _____
(c) statistic.In order to use the t distribution, you will first need to determine the degrees of freedom
(df) for alpha=.05. The degrees of freedom is: _____
(d). The critical value of t is:_____
(e) Calculate the t statistics. To do this, you will first have to calculate the estimated standard error. The estimated standard error is ____
(f). The t statistic is _____
(g). (Hint: for the most precise results, retain four significant figures from your calculation of the standard error to calculate the t statistic.)
The t statistic ______
(h) lie in the critical region. Therefore, you ____
(i) reject the null hypothesis.
Based on the results of this test, there ____
(j) enough evidence to conclude that children with antisocial tendencies have greater difficulty recognizing surprise than do children without antisocial tendencies:
Options for b: two- or one-
Options for c: z or t
Options for d: 33, 34, 35, 36
Options for e: .549, 2.032, 1.691, 1.645
Options for f: 0.38, 4.63, 0.78, 35
Options for g: 2.45, 1.60, 3.19, 3.30
Options for h: does not OR does
Options for i: cannot OR can
Options for j: is OR is not
Answers
Answer and explanation:
Please find explanation attached
A car's rear windshield wiper rotates 140°. The total length of the wiper mechanism is 24 inches and the length of the wiper blade is 16 inches. Find the area wiped by the wiper blade. (Round your answer to one decimal place.)
Answers
Answer:
312.7 in^2Step-by-step explanation:
This problem is on the mensuration of flat shapes, sectors and arc.
we know that the area of a sector is given as
A=(∅/360)*πr^2
Given that the length of the wiper R=24 in
and the length of the blade r= 16in
To find the area of the wiped surface we only require the length of the blade as the radius
The area of the wiped surface is given as= (140/360)*3.142*16^2
A= 0.3888*3.142*256
A=312.7 in^2
Stephen Curry plays for the Golden Gate Warriors and touts a 90% free throw shooting record. If he shot 12 free throws in a game, approximately how many did he miss?
Answers
Answer:
10
Step-by-step explanation:
Because it is 90% and he shots 12 how much fat away is 90 for 100 it is 10
is this a function or not a function (2,5), (4, -2), (3,3), (5,4), (-2,5)
Answers
Answer:
Yes, it is a function
Step-by-step explanation:
A function is where there is no two of the same domain.
The domain is the first coordinate.
Hope This Helps :)
Answer: function
Step-by-step explanation:
solve for z: 11=6|-2z| -5
Answers
Answer:
the roots are {-4/3, 4/3}
Step-by-step explanation:
Begin the solution of 11=6|-2z| -5 by adding 5 to both sides:
11=6|-2z| -5 becomes 16 = 6|-2z|.
Dividing both sides by 12 yields
16/12 = |-z|
There are two cases here: first, that one in which z is positive and second the one in which z is negative.
If z is positive, 4/3 = -z, and so z = -4/3, and:
If z is negative, 4/3 = z
Thus the roots are {-4/3, 4/3}
plz help!!
solve for h: V= 1/3πr²h
solve for b: a=2(b-c)
solve for y: w=3x+7y
Answers
Answer:
1)[tex]h = \frac{3V}{\pi {r}^{2} }[/tex]
2)[tex]b = \frac{a}{2} + 2[/tex]
3)[tex]y = \frac{w - 3x}{7} [/tex]
Step-by-step explanation:
1)[tex]V= \frac{1}{3} \pi {r}^{2} h[/tex]
[tex] = > V = \frac{ \pi {r}^{2} h}{3} [/tex]
[tex] = > 3V = \pi {r}^{2} h[/tex]
[tex] = > h = \frac{3V}{\pi {r}^{2} } [/tex]
2)[tex]a=2(b-c)[/tex]
[tex] = > \frac{a}{2} = b - c[/tex]
[tex] = > b = \frac{a}{2} + c[/tex]
3)[tex]w=3x+7y[/tex]
[tex] = > w - 3x = 7y[/tex]
[tex] = > y = \frac{w - 3x}{7} [/tex]
What is the mean for the following set of population scores:
X
f
7
1
6
1
5
2
4
3
3
6
2
6
1
1
66
28
04
03.3
Answers
Answer:
8.2944444444444
Step-by-step explanation:
the mean is 8
please give me a brainlest!
Serena makes $9 per hour cutting lawns. Each day, she earns about $15 in tips. If Serena made no less than $110 on Monday, which inequality represents h, the number of hours she worked on Monday? 15 h + 9 less-than-or-equal-to 110 15 h + 9 greater-than-or-equal-to 110 9 h + 15 greater-than-or-equal-to 110 9 h + 15 less-than 110
Answers
Answer: 9h+15 > 110
Step-by-step explanation: ed 2020
z is less than or equal to six
Answers
Answer:
z ≤ 6
Explanation:
z is less than or equal to: z ≤
z is less than or equal to six: z ≤ 6
Your friend says the solution to the inequality 6X -12X is greater than or equal to -18 are x greater than or equal to 3. Solve the inequality correctly. What air did your friend make?
Answers
Problem Solving Skills
Answer the questions below. Use the Problem Solving Skills that we discussed in class.
Look back in your notebook if you need a reminder.
7) Suppose that x and y are rational numbers such that x >y. Which of the following
inequalities must be true?
A. (x/>ly/
B. X'>y'
C. x+y > 0
D. X-y> 0
Answers
Answer:i think the answer is A(x/.ly/
Step-by-step explanation:
Answer:
D. x - y > 0
Step-by-step explanation:
Given:
x > y
Solution:
x - y > y - y . . . . . subtract y from both sides
x - y > 0 . . . . matches choice D
help me please this is due today!!!!!
Answers
A bag contains colored tiles.
• 3 tiles are red
• 6 tiles are green
• 3 tiles are blue
A tile will be randomly selected from the bag.What is the probability in decimal form that the tile selected will
be green?
Answers
0.5 or 50% because there are 12 tiles and 6 are green. 6/12 probability simplifies to 1/2 = 0.5 = 50%
The football team has a total of 50 jerseys There are 30 medium-sized jerseys. What percent of the jerseys are medium-sized jerseys?
Answers
Answer:
60%
Step-by-step explanation:
Answer:
60
Step-by-step explanation:
because 30/50 × 2 =60/100 =60%
A rectangular box with a depth of 10 inches and a square base is to be manufactured by the Bold Box Company. The top of the box costs $1.20 per square inch, the bottom costs $.95 per square inch and the sides cost $.75 per square inch. Express the cost of manufacturing this box as a function of length.
Answers
Answer:
The cost function of manufacturing this box is:
[tex]C_{T} = 2.15\cdot x^{2}+30\cdot x[/tex], where [tex]x[/tex] is the length of the box, measured in US dollars.
Step-by-step explanation:
From the statement we know that:
1) The box has a square base ([tex]w = l = x[/tex]).
2) The box has a depth of 10 inches ([tex]h = 10\,in[/tex]).
3) The cost of manufacturing the top of the box is $ 1.20 per square inch.
4) The cost of manufacturing the bottom of the box is $ 0.95 per square inch.
5) The cost of manufacturing each side of the box is $ 0.75 per square inch.
The total cost of manufacturing the box is:
[tex]C_{T} =C_{bottom} + C_{top} + 4\cdot C_{side}[/tex]
Where:
[tex]C_{bottom}[/tex] - Cost of the bottom of the box, measured in US dollars.
[tex]C_{top}[/tex] - Cost of the top of the box, measured in US dollars.
[tex]C_{side}[/tex] - Cost of the side of the box, measured in US dollars.
Dimensionally, cost equals unit cost, measured in US dollars by square inch, multiplied by surface area, measured in square inches. Now, the expression is expanded:
[tex]C_{T} = c_{bottom}\cdot x^{2}+c_{top}\cdot x^{2}+4\cdot c_{side}\cdot h\cdot x[/tex]
[tex]C_{T} =(c_{bottom}+c_{top})\cdot x^{2}+4\cdot c_{side}\cdot h \cdot x[/tex]
If we know that [tex]c_{bottom} = \$\,0.95\,in^{-2}[/tex], [tex]c_{top} = \$\,1.20\,in^{-2}[/tex], [tex]c_{side} = \$\,0.75\,in^{-2}[/tex] and [tex]h = 10\,in[/tex], the cost function of manufacturing this box is:
[tex]C_{T} = 2.15\cdot x^{2}+30\cdot x[/tex], where [tex]x[/tex] is the length of the box, measured in US dollars.
The temperature in degrees Celsius c can be converted to degrees Fahrenheit f using the equation
Answers
Answer:
(0°C × 9/5) + 32 = 32°F
Thats the formula!
Hope this helps!! :)
The statistic used in the sign test measures ____.
Answers
Answer:
the comparisms between pairs of scores
Step-by-step explanation:
The sign test can also called statistical test , this test is essential in the determination of group size. It also give comparisms between the given value and median of datas
It should be noted that The statistic used in the sign test measures the comparisms between pairs of scores
Let A (10, 11, 12, 13 and B (a, b, c, d) Let g be a function from A to B defined by f(10, a), (11,a), (12, b), (13,b)) What is the inverse image of d?
Answers
Answer:
d does not have an inverse image
Step-by-step explanation:
From the question we are told that
The first set is A (10, 11, 12, 13 )
The second set is B (a, b, c, d)
The function that from A to B is f(10, a), (11,a), (12, b), (13,b))
Generally for a function defined by (x,y), y is the image of x while x is the inverse image of y
Now considering the function we are given and the value d we see that and inverse image is not defined for d in the function
hence d does not have an inverse image
given f(7)=4, f'(7)=10, g(7)=-1, g'(7)=8, find the values of the following: 1. (fg)'(7) = 2. (f/g)'(7) =
Answers
By the product rule,
[tex](fg)'=f'g+fg'[/tex]
so that
[tex](fg)'(7)=f'(7)g(7)+f(7)g'(7)=10\cdot(-1)+4\cdot8=22[/tex]
By the quotient rule,
[tex]\left(\dfrac fg\right)'=\dfrac{f'g-fg'}{g^2}[/tex]
so that
[tex]\left(\dfrac fg\right)'(7)=\dfrac{f'(7)g(7)-f(7)g'(7)}{g(7)^2}=\dfrac{10\cdot(-1)-4\cdot8}{(-1)^2}=-42[/tex]
April has $3.65 in quarters and nickels in her car. The number of nickels is thirteen more than the numbers of quarters. How many of each type of coins does she have?
Answers
Answer:
hi
Step-by-step explanation:
Answer:
you multiple what April has
what is the value of x
Answers
Answer:
X=70
Step-by-step explanation:
Interior angles of parallel line sum up to be 180° so:
45+(2x-5)=180
45+2x=185
2x=140
x=70
A 35-foot ladder is leaning against the side of a building and is positioned such that the base of the ladder is 21 feet from the base of the building. How far above the ground is the point where the ladder touches the building?
Answers
It is 28 feet far above form the ground.
1225=441+B^2
1225-441=B^2
784=B^2
√784=√B^2
28=B
B=28 feet
PLEASE HELP ME IM STUCK ON A,B,C PLEASE HELP
Answers
Answer:
1. Rotation
2. Reflection
3. Translation
Explanation:
1. Rotate figure A to the right it would match figure B
2. Imagine folding figure A down it would match figure B
3. Move figure A down and right and it would match figure B
Question 1
4 pts
Three researchers studying the behavior of moose at Isle Royale National Park in Lake Superior collect the
following information about 13 moose near their research station:
• Each moose's gender.
• Each moose's height measured in inches.
• How many hours each moose spends in the water each day.
An estimate of the average total weight of food eaten per day by each moose.
Which of the following best describes the individuals and variables that are being measured?
.
The three researchers are the individuals. There is one categorical variable and four quantitative variables,
The three researchers are the individuals. There are four categorical variables and one quantitative variable.
The 13 moose are the individuals. There is one categorical variable and four quantitative variables.
The 13 moose are the individuals. There are four categorical variables and one quantitative variable.
Next
Answers
The correct answer is C. The 13 moose are the individuals. There is one categorical variable and four quantitative variables.
Explanation:
In research, the individuals refer to the participants or population that is being analyzed. For example, if the purpose of the research is to know how many hours highschool students sleep, the individuals are high school students. In this context, the individual or population of this study ae the 13 moose.
Moreover, this research focuses on different variables such as gender, height, the number of hours each moose spends in the water, the weigh of the food eaten on average by each moose, and the average weight of food eaten every day. From these variables, the last four variables are quantitative because they can be measured using numbers, for example, the height is measured in inches. On the other hand, the first variable is categorical because each moose can be classified in only two categories: male or female.
85° 80° 100° x°
How do I do this?
Answers
Answer:
x = 95 degrees
Step-by-step explanation:
if you add the two angles that are right across each other, it should equal 180 degrees, so you subtract 180 and 85 to get 95 degrees
The shortest known adult women is about 24 inches tall and tallest known adult woman is about 92 inches tall. write an absolute value equation that represents the minimum and maximum Heights. Use x to represent the heights.
Answers
Answer:
jndkjebfjkbwejhfdkfkdsjjdsf
Step-by-step explanation:
fjdshfshdgfjahnd
answer me fast plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz
Shaniqua has a piece of red scrapbooking ribbon that is 2.715 inches long. She also has a piece of pink ribbon that is 3.154 inches long. How much longer is the pink ribbon than the red ribbon?
thank you
Answers
Answer:
0.439 in.
Step-by-step explanation:
This is a subtraction problem.
3.154 in. - 2.715 in. = 0.439 in.
Answer:
.439
Step-by-step explanation:
udnsksjdjxjxjxnxndndjdb pee
The perimeter of a rectangle is represented by the expression 2 (3x + 1) + 22.
Answers
What is the slope of the line that passes through the points (-2,8) and (-22,8)? Write your answer in simplest from
Answers
Answer:
[tex]\boxed{\tt m=0}[/tex]
Step-by-step explanation:
The slope formula is:
[tex]m=\frac{y_{2} -y_{1}}{x_{2}-x_{1}}[/tex]
where (x₁, y₁) and (x₂,y₂) are the points on the line.
The points given are (-2,8) and (-22,8). Therefore,
[tex]x_{1}=-2\\y_{1}=8\\x_2=-22\\y_2=8[/tex]
Substitute the values into the formula.
[tex]m=\frac{8-8}{-22--2}[/tex]
Solve the numerator. Subtract 8 from 8.
[tex]m=\frac{0}{-22+2}[/tex]
Zero divided by any number is zero, so we automatically know the slope is zero.
[tex]m=0[/tex]
The slope of the line is 0
Answer: 0
Step-by-step explanation:
To find the slope, you need to use the formula [tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]. You use the given points to plug in and solve.
[tex]m=\frac{8-8}{-22-(-2)} =\frac{0}{-20}=0[/tex]
Now, we know that the slope is 0 meaning this is a horizontal line.
arts and crafts shop has a bolt of crimson velvet 32 M long a customer came in during the morning and bought 120cm of the velvet another customer bought an additional meters during the afternoon how much Crimson velvet does Malik shop have left write the answer in centimeters
Answers
Answer:
2760
Step-by-step explanation:
I really don't know I just did 32x120