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
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Use the graph to estimate the selling price for a 4-year old car.
O A. $24,000
B. $20,000
che c. $8,000
D. $16,000
Answer:
The Correct answer would be option D, $16,000.
Step-by-step explanation:
Look at the bottom section of the graph, that is labled
"Age (in years)" at the number 4 line (representing the 4 year old car), and find the nearest dot on that line of the graph, it goes directly to 16,000.
WILL GIVE BRAINLIEST!!
Answer:
hi
Step-by-step explanation:
i think so,it is 19
have a nice day
Answer:
19 is the correct answer
hope it is helpful to you
Find the value of x.
Answer:
x = 11
Step-by-step explanation:
choose the bast description for the real number 34/3
Step-by-step Answer:
C and D are both correct as fractions. Numbers are NOT irrational because they are a fraction. And concluding decimals are both rational numbers. By using a known formula you can convert reaptedly decimals to a fraction.
What is the measure of the base of the triangle? The base of the triangle b has a measure of inches.
Answer:
27
Step-by-step explanation:
Answer: 4
Step-by-step explanation:
Identify the measures of exterior angle below. Let x = 15
The dot plots below show the number of points scored by Sam and Daniel in 15 basketball games.
Which statement is best supported by the data in the dot plots?
A The range for Daniel's data is greater than Sam's range.
B The median for Daniel's data is the same as the median for Sam's data.
C The range for Daniel's data is the same as the range for Sam's data.
D The median of Sam's data is greater than the median of Daniel's data.
Answer:
B.
Step-by-step explanation:
Sam median = 12 which has 3 points scored.
Daniel median = 16 which has 3 points scored.
Both scored the same amount of data which is 3 points.
Both the ranges are 16. so it cant be A or C.
Please helpp!! (30 POINTS)!!!
Answer:
b
Step-by-step explanation:
11+11+10+10=42cm
finish solving for x
NO LINKS OR I WILL REPORT
Answer:
x=10 y=20
Step-by-step explanation:
20 points!!!
What is the energy of a photon emitted with a wavelength of 518 nm?
Answer:
3.84 x 10^-19
Step-by-step explanation:
a93x
Answer:
3.84 x 10^-19
Step-by-step explanation:
What is 721295.198715 rounded to the nearest tenth
Answer:
The answer is 721295.2
Answer:
721,295.2
Step-by-step explanation:
I used the "Rounding Numbers Calculator" on Calculator Soup
Consider this equation.
cos(θ) = 4sqrt41/41
If θ is an angle in quadrant IV, what is the value of sin(θ) ?
Answer:
A. -5√41/41Step-by-step explanation:
Let the horizontal leg = 4√41 and the hypotenuse = 41 as
cosine = adjacent leg / hypotenuse.Then the vertical leg is:
√(41² - 16*41) = √25*41 = 5√41Since the vertical leg is below the x-axis, its value is -5√41
Then we have:
sin (θ) = -5√41/41Correct choice is A
Answer:
Step-by-step explanation: i just take the test
HELP ME PLEASE! THE ATTACHMENT HAS THE INFO.
THANK YOU!
Answer:
The answer is B
Step-by-step explanation: yo mum u dont need one
Answer:
Your answer is b
Step-by-step explanation:
Step-by-step explanation: None
please dont guess. need the answer asap
WILD ANSWER - 35% possibility it could be wrong. Please check with other answer first.
Answer: X=15.4
Step-by-step explanation:
Cos 39 = x/26
12 x = 0.77714596
x = 15.44111479
X=15.4
What is logo e' rewritten using the power property?
O elog6f
O flog6e
O log6(e•f)
O log6(e+ f)
The right rectangular prisms are similar.
Which statements are correct? Check all that apply.
3.2 AT
The angles in the smaller prism measure 90
degrees.
The perimeter of the rectangular bases changes by
a factor of 2.
The surface area changes by a factor of 8.
The larger prism has twice the volume of the
smaller prism.
The area of the rectangular bases changes by a
factor of 4.
1.6
-
-
-
-
-
-
10.4
V
0.8
2.2.
Answer:
A)The angles in the smaller prism measure 90 degrees.
B)The perimeter of the rectangular bases changes by a factor of 2.
E)The area of the rectangular bases changes by a factor of 4.
Step-by-step explanation:
The right rectangular prisms are similar.
Which statements are correct? Check all that apply.
A)The angles in the smaller prism measure 90 degrees.
B)The perimeter of the rectangular bases changes by a factor of 2.
C)The surface area changes by a factor of 8.
D)The larger prism has twice the volume of the smaller prism.
E)The area of the rectangular bases changes by a factor of 4.
Solution:
Two polygons are said to be similar if they have the same shape, the ratio of their sides are in the same proportion and they have the same size of angles.
A) Since the bigger prism has angles with measure of 90°, hence the angles in the smaller prism will also measure 90.
Option A is correct.
B) Perimeter of bigger prism base = 2(2.2 + 0.8) = 6
Perimeter of smaller prism base = 2(1.1 + 0.4) = 3
The perimeter of the rectangular bases changes by a factor of 2 (6 / 3).
Option B is correct.
C) Surface area of bigger prism = 2(3.2*0.8 + 2.2*0.8 + 3.2*2.2) = 22.72
Surface area of smaller prism = 2(1.6*0.4 + 1.1*0.4 + 1.6*1.1) = 5.68
The surface area does not change by a factor of 8 (22.72 / 5.68 ≠ 8)
Option C is wrong
D) Volume of bigger prism = 2.2 * 3.2 * 0.8 = 5.632
Volume of smaller prism = 1.1 * 1.6 * 0.4 = 0.704
The larger prism volume is not twice of the smaller prism
Option D is wrong
E) Area of bigger prism base = 2.2*0.8 = 1.76
Area of smaller prism base = 2.2*0.8 = 0.44
The area of the rectangular bases changes by a factor of 4 (1.76 / 0.44 = 4)
Solve the system by substitution 8y+3=x 9x-5y=-40
PLEASE HELP ME!!!!!!!!!!!
Answer:
Yes.
Step-by-step explanation:
In order to form a triangle the sum of two sides should exceed the third side.
so here the given measurements fulfill this statement so
with the given lengths ; 15, 12 , 9 can form a triangle.
Find the unknown measures. around lengths to the nearest hundredth and angle measures to the nearest degree.
Answer:
choice 3)
JK = 3.51
WK = 9.15
∠J = 69°
Step-by-step explanation:
sin 21° = JK/9.8
0.3584 = JK/9.8
cos 21° = WK/9.8
0.9336 = WK/9.8
WK = 9.15
∠J = 90° - 21° = 69°
Which job here requires the least amount of training and education
A. Elementary Teacher
B. College professor
C. Cashier
D. Accountant
Answer:
Cashier
Step-by-step explanation:
An elementary school teacher has to go to college, a college professor has to have a college degree, and although accountants are always required to go to college most places hire accountants that have gone to school.
Answer:
C. Cashier
Step-by-step explanation:
Retail cashiers require no formal training.
To be an elementary teacher, you must have at least a Bachelor's degree.
To be a college professor, you must have at least a Master's degree.
To be an accountant, you must have at least a Bachelor's degree.
Scientists notice two asteroids moving directly toward each other. Right now, they are 20 million kilometers apart, but they are on a collision course. The graph represents their paths and likely collision point, with the origin representing the initial position of asteroid A.
What is the point of intersection of the two lines, and what do the x- and y-values of the point of intersection mean?
Answer:
The point of intersection is (6, 8). This indicates that in 6 days, asteroid A and B will collide at a point that is 8 million miles away from asteroid A's current position and 12 million miles away from asteroid B's current position.
please heeeeeeeeeeeeeeeeeeelp
Answer:
its answer is option c .
hope it helps :)
Step-by-step explanation:
Determine the volume of the rectangular prism.
Answer:
132in
Step-by-step explanation:
Answer:
hi
Step-by-step explanation:
[tex]v = 4 \times 6 \times 5 \frac{1}{2} \\ v = 24 \times \frac{11}{2} = 132[/tex]
hope it helps
have a nice day
PLEASE HELP FAST!!!
The table shows the percentage of students in each of three grade levels who list soccer as their favorite sport.
Soccer
Sophomores (35%) 50%
Juniors (33%) 45%
Seniors (32%) 30%
Total (100%) (0.5)(0.35) + (0.45)(0.33) + (0.32)(0.3) = 0.4195 or about 42%
Find the probability, rounded to the nearest hundredth, that any student selected from all three grades is a junior who lists soccer as the favorite sport.
P(junior ∩ soccer) =
A) 0.45
B) 0.78
C) 0.52
D) 0.15
Answer: a is your answer hope this helped
plz make brainly
Step-by-step explanation:
Answer:
0.45
Step-by-step explanation:
PLSSS HELPPPPP WILL REWARD THE BRAINLIESTTT SOONER OR LATER THATS A PROMISE
Answer:
Divide both sides by L
Step-by-step explanation:
Because L is multiplied by W, to find W you would need to move the L to the other side by doing the reverse operation, which in this case is division.
If the gradient of the line segment joining (-3,7 ) and (4,p) is 3/5 ,find p
Answer:
a
Step-by-step explanation:
A game rental service allows customers to rent games for $5 each
after paying a monthly membership fee of $7. The total amount
spent each month can be modeled by y=5x+7. What does the
variable x represent in this function?
a) The total money spent each month
b) The number of games rented
c) The cost of renting 1 game
Anyone can help
Me with this?
Answer:
the number of games rented
Step-by-step explanation:
in y=5x + 7
7= membership fee
5x represents the $5 per game times the number of games rented x
Are the following figures similar?
Answer:
no
Step-by-step explanation:
45/36=1.25
1.25x18=22.5
not 25
no common factor
so not similar
what is the sum of 3,9
Answer:
3 + 9 = 12 !
Step-by-step explanation:
what is the mean of the data? 24,31,12,38,12,15
Answer:
Hello Love! Answer: 22
Step-by-step explanation:
The mean is just an average of all the numbers added up then divided by how many numbers there are so I add up those numbers and I get 132 now I will just divide that by 6 sense there are 6 numbers and I get 22!
