The value of [tex]a_{4} = 37[/tex].
Here,
The value of [tex]a_{1} = 4[/tex]
And, [tex]a_{n} = 2 a_{n-1} -1[/tex]
We have to find value of [tex]a_{4}[/tex].
What is Sequence?
A sequence is a collection of elements that are arranged according to a specific pattern.
Now,
The value of [tex]a_{1} = 4[/tex]
And, [tex]a_{n} = 2 a_{n-1} -1[/tex]
Then to find value of [tex]a_{4}[/tex], we can find [tex]a_{2} , a_{3}[/tex] as;
[tex]a_{2} = -2(a_{1} ) - 1\\a_{2} = -2(4) - 1\\a_{2} = -9[/tex]
And,
[tex]a_{3} = -2(a_{2} ) - 1\\a_{3} = -2(9) - 1\\a_{3} = -19[/tex]
Hence, the value of [tex]a_{4}[/tex] is;
[tex]a_{4} = -2(a_{3} ) - 1\\a_{4} = -2(-19) - 1\\a_{4} = 37[/tex]
Therefore, The value of [tex]a_{4} = 37[/tex].
Learn more about the sequence visit:
https://brainly.com/question/7882626
#SPJ2
After a company celebrated its ten year anniversary, the president of the company wanted to know how long employees have been with the company. Human resources provided the president with the box plot below.
Using the box plot, determine the best measures of the data.
The best measure of center is the (blank)
, and the best measure of variability is the (blank)
.
The number that best summarizes the data is (blank)
years of service.
The number that best describes how the data varies is (blank)
years of service.
Step-by-step explanation:
The measures of variability is blank, the number that best summarizes the data is blank, and the number that best describes how the data varies is blank
Please send the box plot, I can solve it then but there is not enough info right here. Sorry!
Use the graph to find the cost of 8 shirts,
Cost of Shirts
100
TA
Cost (5)
Number of shirts
A. The cost of 8 shirts is $8.
B. The cost of 8 shirts is $150
C. The cost of 8 shirts is $15.
D. The cost of 8 shirts is $120.
help please quick will mark brainliest
Answer:
5. B 6A. True 6B. True 6C. False 6D. True
Step-by-step explanation:
ANSWER FOR BRAINLIEST:
Mark all of the following that are measures of Central Tendency.
Mean
Range
Mode
Median
Mean Absolute Deviation
Outlier
Answer:
I think it's mean, range, median, and outlier
Answer:
range,mode and median I think hehehe
The perimeter of a square is 12x - 8. Which of the following is the length of
one side of the square?
Answer:
3x-2
Step-by-step explanation:
12x-8/4 = 3x-2 is one side length of a square
Graph the logarithmic function f(x) = log2(x - 1) + 2.
anyone know this pls help
Answer:
I graphed it for you in the image below.
Step-by-step explanation:
Graph the logarithmic function f(x) = log2(x - 1) + 2 is attached below.
What is a function?The function is referred to as a particular kind of relationship, every value in the domain is associated with exactly one value in the range. They have a set perimeter and territory.
It is given that the logarithmic function is, f(x) = log2(x - 1) + 2.
The first step in graphing a logarithmic function is to locate some points on the exponential f. (x). The graph will look better as we plot more points, and we can flip the x and y values to get points on the opposite axis. locate the asymptote. The following logarithmic functions can be graphed. Specify the domain and the range.
Thus, the graph is attached below.
Learn more about the function here:
brainly.com/question/5245372
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Cos x + square root 3 = -cos x
Answer:
[tex]\cos x + \sqrt{3} = -\cos x\\2\cos x = -\sqrt{3}\\\cos x =-\frac{\sqrt{3}}{2}\\x=\frac{\pi}{6}[/tex]
(the other solutions can be obtained by adding 2pi as many times as you want)
Find the radius of the circle.
(x – 3)2+(9 + 7)2= 16
solve for x
[tex]\frac{1}{x-9}[/tex] =6
r = 1/15
a branliest from the answer will be appreciated
Step-by-step explanation:
1/x-9= 6
cross multiply
1= 6×{x-9}
1= 6x - 54
collect like terms
1+54= 6x
55= 6x
x= 55/6 or 9.1667
A rectangular prism has a volume of 819 cubic meters. It has a length of 10 meters and a width of 9 meters. What is the height of the prism?
Answer:
9.1m
Step-by-step explanation:
h = V ÷ l w = 819 ÷ (10 × 9) = 9.1m
Have a good day
Thomas is baking cookies for his favorite teacher, Mrs. Turner, and his classmates. He needs 7 cups of butter to make the cookies. How many pints of butter will he need?
A. 1 pint
B. 3.5 pints
C. 14 pints
D. 4.5 pints
Answer:
It would be B. 3.5 Pints.
Step-by-step explanation:
I need help as soon as poible
π×5×5×7=
Answer:
549.5
Step-by-step explanation:
For a estimate of pi we use 3.14. So 3.14x5x5x7=549.5
For a realistic answer its 549.778714378.....
the measure of a base isosceles triangle is 43? what is the measure of the vertex angle
Answer:
The vertex angle is 94 degrees
Step-by-step explanation:
Let the vertex angle be x
Mathematically, the base angles of an isosceles triangle are the same
So if one of the base angles is 43 degrees, then the other base angle would be 43 degrees too
Mathematically, the sum of angles in a triangle is 180 degrees
Thus;
43 + 43 + x = 180
x = 180-86
x = 94 degrees
Multiply. x^9 . x^0 . x^-4 . x
A. 1
B. x^5
C. x^6
D. x^-36
Answer:
C
Step-by-step explanation:
hope this helps
Which ratio compares the number of daffodil bulbs to the number of tulip
bulbs?
Answer:
2:3
Step-by-step explanation:
8:12
divide by 4
2:3
Good luck on your test
Answer:Well it's probably 1:5
Step-by-step explanation:
Tell me If I was wrong :<
How do you write
4,083/1000
as a percentage?
Answer:
408.3%
Step-by-step explanation:
last year there were 480 students in school and this year it has become 600 find the percentage increase in the number of students
Answer:
25%Steps:
600 - 480 = 120
100(120/480) = 25
Answer:
increase in percentage = 25%
Step-by-step explanation:
here's your solution
==> Total number of students last year = 480
==> Number of students this year = 600
==> Number of increased students = 600 - 480
= 120 students
==> now , in percentage = (120/480)*100
==> percentage increase = 25%
hope it helps
someone help me, graphs r shown!
Answer:
A
Step-by-step explanation:
Answer:
A
explanation:
i answered the question
btw thanks for the brainliest
¿Avisar y enamorar es una rima asonante o consonante?
ES URGENTE. NO PONGAN TONTERIAS SI NO REPORTO
GRACIAS :)
Answer:
son consonantes
guíate por esto.
La rima asonante se caracteriza porque solo coinciden los sonidos vocálicos en la última sílaba de cada verso, mientras que la rima consonante es aquella donde coinciden tanto vocales como consonante.
Please help find the missing angles
Answer:
2: 45 3: 45 4: 135 5: 135 6: 45 7: 45
Step-by-step explanation:
they are vertical angles meaning they will mirror each other, subract 135 from 180 and you will get the other angle
Solve triangle PQR. Round intermediate results to 3 decimal places and final answers to 1 decimal place.
Answer:
[tex]Q = 96.4^\circ[/tex]
[tex]R = 58.4[/tex]
[tex]P =25.2[/tex]
Step-by-step explanation:
Given
See attachment for PQR
Required
Solve the triangle
From the attached triangle, all sidea of the triangle are known.
i.e.
[tex]PQ = 6\\QR=3\\PR=7[/tex]
So, we are to solve for [tex]\angle P, Q \& R[/tex]
Using cosine rule:
[tex]a^2 = b^2 + c^2 - 2bcCosA[/tex]
To solve for Q, we have:
[tex]PR^2 = PQ^2 + QR^2 - 2 * PQ * QR Cos(Q)[/tex]
[tex]7^2 = 6^2 + 3^2 - 2 * 6 * 3 * \cos(Q)[/tex]
[tex]49 = 36 + 9 - 36 * \cos(Q)[/tex]
Collect like terms
[tex]49 - 36 - 9 = - 36 * \cos(Q)[/tex]
[tex]4 = - 36 * \cos(Q)[/tex]
Divide both sides by -36
[tex]\cos(Q) = \frac{-4}{36}[/tex]
[tex]\cos(Q) = -0.1111[/tex]
Take arc cos of both sides
[tex]Q = cos^{-1}(0.1111)[/tex]
[tex]Q = 96.4^\circ[/tex]
To solve for R, we make use of sine rule;
[tex]\frac{a}{\sin A} = \frac{b}{\sin B}[/tex]
So, we have:
[tex]\frac{PQ}{\sin R} = \frac{PR}{\sin Q}[/tex]
[tex]\frac{6}{\sin R} = \frac{7}{\sin 96.4}[/tex]
Cross multiply
[tex]\sin R * 7 = 6 * \sin 96.4[/tex]
Solve for sin R
[tex]\sin R = \frac{6 * \sin 96.4}{7}[/tex]
[tex]\sin R = \frac{6 * \0.9938}{7}[/tex]
[tex]\sin R = 0.8518[/tex]
Take arc sin of both sides
[tex]R = sin^{-1}(0.8518)[/tex]
[tex]R = 58.4[/tex]
Solving P:
[tex]P+ Q + R = 180[/tex] --- angles in a triangle
Solve for P
[tex]P =180-Q-R[/tex]
[tex]P =180-96.4-58.4[/tex]
[tex]P =25.2[/tex]
what is the lcm of 32 and 14
the answer is 224 im pretty sure hope this helps
the poles for a tent form vertices of a regular decagon. when the poles are properly positioned, what is the measure of the angle formed at a corner of the tent. ( n - 2 ) × 180
Answer:
Each Interior Polygon angle = 180 - [ 360 / number of sides]
Each Angle = 180 - [ 360 / 10]
Each Angle = 180 - 36
Each Angle = 144 degrees
Source http://www.1728.org/polygon.htm
Step-by-step explanation:
Which sequence of transformations will map triangle A onto its congruent image, triangle B?
A. a reflection over the x- axis, then a reflection over the y-axis
B. a translation 8 units down, then a reflection over the y-axis
C. a reflection over the x-axis, then a translation 6 units to the left
D. a rotation 90 degrees clockwise about the origin, then a translation 6 units to the left
(If anyone knows the answer please explain why it’s the answer)
Answer:
C. a reflection or the x-axis,then a translation 6 units to the left
Rori read 5 books last month. Here are the number of pages in each book that she read. (120, 106, 94, 100, 180) What is the mean absolute deviation (MAD) of the number of pages in the 5 books Rori read?
Answer:The mean absolute deviation (MAD) of the number of pages in the 5 books Rori read =24
Step-by-step explanation:
To find the the mean absolute deviation (MAD,we start firt by
Getting the mean of all values
Mean =120, 106, 94, 100, 180/5 =600/5=120
Next we subtract the mean value from each value which is called distance
120 -120 = 0
106 -120 = -14
94 -120= -26
100 -120=-20
180 -120=60
Thirldly, we find the mean of the distances ignoring the negative signs
0+14+26+20+60 / 5 = 120/5=24
Can someone please help me on this I am stuck
Answer:
3, 4, 5
5, 12, 13
Hope that helps! :)
-Aphrodite
Step-by-step explanation:
If m varies directly as n and inversely as the square of p then m=n/kp
true or flase
Please help asap I need it please
Answer:
Exponential decay
Step-by-step explanation:
Because the values are exponentially decreasing.
I don’t understand!!!
Answer:
48
Step-by-step explanation:
by parallel laws
132 + x = 180
x = 48
so x must be 48
Reasoning How could you write, as a percent
without dividing?