Answer:
3.1 A) 49; 64; and 81
B) 343; 512; and 729
C) 28; 36; and 45
3.2 A) 1²; 2²; 3²...
B) 1³; 2³; 3³...
C) 1; 1+2; 1+2+3; ...
3.3 A) aₙ = n²
B) aₙ = n³
C) aₙ = n·(n + 1)/2
3.4 A) 10,000
B) 1,000,000
C) 5,050
Step-by-step explanation:
The given sequences are;
A 1; 4; 9; 16; 25; 36...
B 1; 8; 27; 64; 125; 216...
C 1; 3; 6; 10; 15; 21;...
3.1 A) The terms, aₙ, of sequence 'A' are given as follows;
aₙ = n², where, n = 1, 2, 3,...
The next three terms of sequence 'A' are therefore;
a₇ = 7³ = 49, a₈ = 8² = 64, and a₉ = 9² = 81
The next three terms of sequence 'A' are ; 49; 64; and 81
B) The terms, aₙ, of sequence 'B' are given as follows;
aₙ = n³, where, n = 1, 2, 3,...
The next three terms of sequence 'B' are therefore;
a₇ = 7³ = 343, a₈ = 8³ = 512, and a₉ = 9³ = 729
The next three terms of sequence 'B' are; 343; 512; and 729
C) The terms, aₙ, of sequence 'C' are given as follows;
aₙ = n·(n + 1)/2, where, n = 1, 2, 3,...
The next three terms of sequence 'A' are therefore;
a₇ = 7×(7 + 1)/2 = 28, a₈ = 8×(8 + 1)/2 = 36, and a₉ = 36 + 9×(9 + 1)/2 = 45
The next three terms of sequence 'A' are ; 28; 36; and 45
3.2 A) The pattern of the numbers in sequence 'A', consists of squaring (raising to the power of 2) each number in the sequence of natural numbers
B) The pattern of the numbers in sequence 'B', consists of raising to the power of 3 each number in the sequence of natural numbers
C) The pattern is the triangular number sequence and consists of finding half the number dots that are present in a n by (n + 1) rectangle, which is given by finding the sum of the natural numbers up to the given term in the sequence
3.3 A) The formula for the general term of sequence, A, is aₙ = n²
B) The formula for the general term of sequence, B, is aₙ = n³
C) The formula for the general term of sequence, C, is aₙ = n·(n + 1)/2
3.4 A) The 100th term of sequence 'A', a₁₀₀ = 100² = 10,000
B) The 100th term of sequence 'B', a₁₀₀ = 100³ = 1,000,000
C) The 100th term of sequence 'C', a₁₀₀ = 100 × (100 + 1)/2 = 5,050.
Please help If you know the answer!!
Answer:
-3 +8a
Step-by-step explanation:
(3-8a) *(-1)
Distribute
3*-1 -8a*-1
-3 +8a
Use the picture to find each of the following: HELPPP
What is the sum of the interior angles in this shape?
Answer:
720° :)
Step-by-step explanation:
You can find the total interior angle for any shape using the following (n being the number of sides):
S = ( n - 2 ) × 180 °
S = (6-2) * 180
S = 720
PLEASE HELP ASAP ILL GIVE BRAINLIEST
Answer:
B the second answer is correct!!!!
Step-by-step explanation:
Hope This Helped
Let me know if its wrong or not but i 99.99% believe it's correct
please help!! 40 points . if you guess or just comment to take points i will make sure your account gets banned, thanks! i want a small simple explanation.
Answer:
1) m<DBE= 140
2)m<EBD= 30
Step-by-step explanation:
1) 5x-60= x+20
4x= 80
x= 20
plug in the x into the equation: (x+20)---> (20+20)=40
180-40= 140
2) 4x-2+20x-10= 180
24x= 192
x=8
plug in the x into the equation: (4x-2)----> 4(8)-2----> 32-2= 30
3) im not sure
4) im not sure
Answer: did you see my answer on the second page?
Step-by-step explanation: IM SORRY PLEASE DONT BAN ME
A book store is keeping track of the price of books according to the number of pages. Which scatterplot represents
that bivariate data?
tu
400
16
16
12
300
12
300
$ 200
8
100
4
4 8 12 16
Price (8)
4 8 12 16
Books
100 200 300 400
Pages
4 8 12 16
Books
find the circumference of a circle with a radius of 2.5 cm
I need to find this angle please help i know it is adjacent but i need the angle.
Answer:
148 degrees!
Step-by-step explanation:
They are 180 degrees together so just subtract 32. 180- 32 = 148.
Answer:
148°
Step-by-step explanation:
A flat angle measures 180°
180° - 32° = 148°
Application:
Sharone took 2-hours to complete her science
project. She took 140 minutes to complete her math
homework. Which assignment did she spend more
time completing? How many more minutes did she
take?
The ninth graders are hosting the next school dance. They would like to make at least $500 profit from selling tickets. They estimate that at most 300 students will attend the dance. They will earn 3 for each ticket purchased in advance and $4 for each ticket purchased at the door. Write a system or inequalities to represent this situation.
two teams play a series of games, wher both teams have an equal probability of winning each game. its a best- of-five series, so the frist team to win three games is the winner. what is the probability that the series lasts five games
Answer:
0.375
Step-by-step explanation:
With equal probability, hence
p for both teams = 0.5
First team to win three games win, probability that series lasts 5 games :
This means after 4 games each of the teams must have won 2 each ; and the series decider will be on the 5th game :
Each team winning two games and any of the teams could be the eventual winner :
From binomial relation :
P(x = x) = nCx * p^x * q^(n-x)
q = 1 - p = 0.5
Team A :
Winning any 2 from 4 and winning the 5th
(4C2 * 0.5^2 * 0.5^2) * 0.5
0.375 * 0.5 = 0.1875
Team B :
(4C2 * 0.5^2 * 0.5^2) * 0.5
0.375 * 0.5 = 0.1875
Hence, the probability that series lasts five games is :
[4C2*0.5^2*0.5^2)*0.5]+[4C2*0.5^2*0.5^2)*0.5]
0.1875 + 0.1875
= 0.375
What is the quotient of 1.485 x 10^6 and 4.95 x 10^2 expressed in science notation
____ x 10^—
ANSWER ASAP
Answer:
3 x 10^3
Step-by-step explanation:
1.485 / 4.95 = 0.3
10^6 : 10^2 = 10^(6-2) = 10^4
0.3 x 10^4
3 x 10^3
The quotient of 1.485 x 10^6 and 4.95 x 10^2 expressed in science notation is 3 x 10^3
How does scientific notations work?The number b shows the order, which is the most important figure for which scientific notation is used. It tells us how much order large or small a value is in powers of 10.
Its value in terms of power of 10 is known, which helps in easy comparison of quantities differing by a large value.
WE need to find the quotient of 1.485 x 10^6 and 4.95 x 10^2 expressed in science notation.
So we have;
1.485 / 4.95 = 0.3
Therefore,
10^6 : 10^2
= 10^(6-2)
= 10^4
Hence, the scientific notation written as;
0.3 x 10^4
= 3 x 10^3
Learn more about scientific notation here:
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Find the measure of the arc indicated. Assume that lines which appear tangent are tangent.
Answer:
Minor Arc AC = 360 - 235 = 125°
[tex]mABC = \frac{Major \ arc - Minor \ arc}{2} = \frac{235 - 125}{2} = \frac{110}{2} = 55[/tex]
Please help!!!! Giving brainliest and extra points!!!! (Click on the photo)
Answer:
i dont understand the question much cuz its only told berries so i think is both rasberry and strawberry
Step-by-step explanation:
if so here my solve: Both berries are 38% of the graph, we have equation 38%×290 = 110,2
hmmmm maybe the ans is D. 110
BE
What is the rate of change of the function represented by the table?
Х
1
у
5
2
5
3
5
4
5
1
оооо
5
I need help like big time! PLEASE I NEED THIS ANSWERED!!
Answer:
x = 94
Step-by-step explanation:
[tex]x + (\frac{1}{2}x + 39) = 180[/tex]
1.5x + 39 = 180
Subtract 39 from each side.
1.5x + 39 - 39 = 180 - 39
Simplify.
1.5x = 141
Divide each side by 1.5.
1.5x ÷ 1.5 = 141 ÷ 1.5
x = 94
Need help with this struggling a bit.
V = ( 4/3 ) × π × r^3
V = ( 4/3 ) × π × ( 6/2 )^3
V = ( 4/3 ) × π × ( 3 )^3
V = ( 4/3 ) × 3 × 9 × π
V = 4 × 9 × π
V = 36 π m^3
Thus the correct answer is option D .
A pyramid with a slant height 4.6 in whose triangular base measures 8 in on each side.Each altitude of the base measures of 6.9 in
Answer:
82.8 in²
Step-by-step explanation:
The surface area a triangular based pyramid :
Base area + 1/2(perimeter * slant height)
Base = 8 inches ; Slant height = 4.6 inches ; altitude of base measure = 6.9 inches
Base area of triangle :
1/2 * base * height
1/2 * 8 * 6.9
4 * 6.9
Base area = 27.6 in²
The perimeter, P = sum of sides ; (s1 + s2 + s3
P = 8 + 8 + 8 = 24 in
Hence,
Surface area = 27.6 in² + 1/2(24*4.6)
Surface area = 27.6 in² + (12 * 4.6) in²
Surface area = (27.6 + 55.2)
Surface area = 82.8 in²
Look at the graph below.
Which point can you add to the graph to make this graph NOT A
FUNCTION?
(2,6)
(5.3)
(7.5)
(8,8)
Answer:
B. (5, 3)Step-by-step explanation:
Given points:
(3, 5), (5, 8), (9, 7)The graph should have a same x-value with a different y-value.
From the list we have only point (5, 3) which makes this a non-functional relationship.
Correct choice is B
Points here are
(3,5)(5,8)(9,7)As per definition of function
Every domain has a unique rangeCheck option B
If we put than
The. f(5) would have 2 values 8 and 3
Which won't be a function
Someone please help me out!!
Answer:
D 3/4
Step-by-step explanation:
imagine a circle with its center in point A and going through point C.
the radius of that circle is 50 (AC).
remember, tan of an angle is sin/cos of that angle.
now rotate in our imagination that triangle to the right around point A, so that the side AB becomes the bottom base line.
now you see that 30 = sin(A)×radius = sin(A)×50
and 40 = cos(A)×radius = cos(A)×50
so, tan(A) = (sin(A)×50)/(cos(A)×50) = sin(A)/cos(A) = 30/40
= 3/4
Find tan S and tan R. Write each answer as a fraction in simplest form
We know the trigonometric ratios that tan = opposite/adjacent So, tan S is equal to 15/8 and tan R is equal to 8/15.
What are the trigonometric ratios?Trigonometric ratios for a right-angled triangle are from the perspective of a particular non-right angle.
In a right-angled triangle, two such angles are there which are not right-angled(not of 90 degrees).
The slanted side is called the hypotenuse.
From the considered angle, the side opposite to it is called perpendicular, and the remaining side will be called the base.
We know that tan = opposite/adjacent
tan S
opposite: 45
adjacent: 24
So,
tan S = 45/24 = 15/8
tan R
opposite: 24
adjacent: 45
So,
tan R = 24/45 = 8/15
Learn more about trigonometric ratios here:
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A number is multiplied by 4. That result is added to 12. The final number is 40. What is the original number.
Answer:
3
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
(40-12)/4
28/4
7
.Answer only the second question and show steps
Answer:
Step-by-step explanation:
Perimeter is found by adding all the sides of a figure together. We have 2 lengths that are 10.5 long, and 2 widths that are 8.75 wide. Adding these together:
10.5 + 10.5 + 8.75 + 8.75 = 38.5 cm
this answer for # 2 question
please help!! 40 points. if you guess or just comment to take my points i will make sure your account gets banned. thanks! i want a small simple explanation.
5) m<EBF= 474
6)m<ABC= 70
5) 20x-10= x+390
5) 20x-10 3x+15+60=474
20x-10=390
3x+15= 24
plug in the x into the equation: (x+20)---> (20x20)=400
400-10= 390
6) 3x+1+2x+14= 28
3x= 9
2x=4
plug in the x into the equation: (3x+1)----> 2x+14= 28
7 is a bit confusing...
8 G and F is confusing me sorry...
this was so fu-cking hard sorry it took long...
Ravi solved this question. His teacher told him he made a mistake. Can you helphim to get the correct step ? 56–(–73) = 56 + __________
Answer:
56+73
Step-by-step explanation:
Jessica's family took a 7-hour-and-27-minute trip on a train. They left at 7:00 a.m.
What time did Jessica's family arrive?
Using the figure shown, match each Trigonometic Ratio to the ratio of the sides.
Answer:
Step-by-step explanation:
Sin(A) = a/c
Cos(A) = b/c
Tan(A) = a/b
Answer:
Solution given:
Trigonometic Ratio to the ratio of the sides. are.
SinA=a/c
CosA=b/c
TanA=a/b
Simple math! Please help!!!!
[tex] c.\:{x}^{ - 4} [/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex] \frac{7 {x}^{4} }{7 {x}^{8} } \\ = \frac{ {x}^{4} }{ {x}^{8} } \\ = {x}^{4 - 8} \\ = {x}^{ - 4} [/tex]
Note:-
[tex] {x}^{m} \times {x}^{n} = {x}^{m + n} \\ {x}^{m} \div {x}^{n} = {x}^{m - n} [/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]
which expression is equivalent to 5+5t+3t+?
Answer:
10t+3
Step-by-step explanation:
Answer:
10t+3
Step-by-step explanation:
Can someone help me the four options would be 34 degrees btw
Answer:
Angle NKQ is 68 Degrees.
Step-by-step explanation:
With this, consider the arc that Angle NPQ is making. It is making an arc of 112 degrees since the Angle is coming out from the radius of the circle.
Now, there is also the arc 248 degrees for the remainder of the circle that is not within this angle's reach.
Since Angle NKQ shares these arcs, we can use the equation:
Big Arc + Small Arc / 2
to get the measure of this angle
(248 - 112) / 2
With this, Angle NKQ is 68 degrees.