Find the number of terms in the the following arithmetic sequence
8, 11, 14, 17, .... 68
Answer:
number of term is 21
Step-by-step explanation:
Please mark as brainliest
Answer:
21
Step-by-step explanation:
The first numbers we ever learn to count with are the ones on our fingers - 1, 2, 3, 4, and on and on and on. Wouldn't it be nice, then, if we could somehow transform this sequence into that one that's so familiar to us? If we could do that, we could find the number of terms just by looking at the last one.
Arithmetic sequences evolve predictably - we start with a specific number and continue adding another number (called the common difference) to one term to get the next.
Here, our common difference is 3, since 8 + 3 = 11, 14 + 3 = 17... you get the picture. If we ultimately want to get our sequence down to the counting numbers (1, 2, 3...) we should start by getting them down to the multiples of 3 (3, 6, 9...). To do that, we'll subtract 5 from each term in the sequence. This gets us from
8, 11, 14, 17, ... 68
to
3, 6, 9, 12, ... 63
From here, we'll divide each term by 3, finally giving us back a sequence of counting numbers:
1, 2, 3, 4, ... 21
Now, we can look at the last term sequence to find that there are 21 terms in it.
Plez the answer the subject is the double angle and half angle formula
Answer:
cos 2x = (√7) / 4
Step-by-step explanation:
sin x - cos x = 1/2
(sin x - cos x)² = (1/2)²
sin²x - 2 sin x cos x + cos² x = 1/4
1 - 2 sinx cosx = 1/4
2 sinx cosx = 3/4
sin 2x = 2 sinx cosx = 3/4
sin² 2x = 9/16
cos² 2x = 1 - sin² 2x = 1 - 9/16 = 7/16
cos 2x = (√7) / 4
if one point is located at (-5,3) and another point is located at (7,-4). find the distance between the points. round to the nearest tenth.
Answer:
13.9
Step-by-step explanation:
Use the distance formula:
[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}\\\\d = \sqrt{(7 - (-5))^2 + (-4-3)^2}\\d = \sqrt{(12)^2 + (-7)^2}\\d = \sqrt{144 + 49}\\d = \sqrt{193}\\[/tex]
The square root of 193 rounded to the nearest tenth is 13.9.
Someone please help me.
Answer:
the 1/5 one is 0.95
Step-by-step explanation:
look it up, silly also im sorry if i got in wrong i need help too and no one is helping me so im helping other people (well trying too)
Someone PLEASE HELP ME WITH THIS IM IN A HURRY PLEASE
Answer:
A
Step-by-step explanation:
A
Half of my weight is equal 3/4 of my brother's weight. If my brother weighs 64kg; what is my weight
Answer:
96kg
Step-by-step explanation:
3/4 of 64 is 48
2 × 48 = 96kg
Solve -a + 7 = 2a - 8. a=5 D a= 15 a -3 = B a
Please help desperate
Answer: The first one is x=2
The second one is x=1
The third one is x=2
Step-by-step explanation:
Answer:hey i have the solution for you if you have a phone download socratic. Just take a picture of the entire thing and it will pull up the exact answers
Step-by-step explanation:
ILL GIVE YOU BRAINLIEST
Answer:
Here I'll answer so you can give that person brainliest
Step-by-step explanation:
How has your day been??
What is the value of x if 10 - 20x = 5?
Answer:♀️
Step-by-step explanation:
PLEASE HELP 100 points to who ever gives me the answer Compare the numbers using >, <, or =.
a) -2 3
b) |-12| |15|
c) 3 -4
d) |15| |-12|
e) 7 -11
Answer:
a) -2 < 3
b) |-12| < |15| (the absolute value of -12 is 12 so that's comparing 12 to 15)
c) 3 > -4
d) |15| > |-12|
e) 7 > -11
Find the indicated side of the triangle
Answer:
plz upload photo for your question
What is the minimum number of fish in the pond? (Hint: You caught 100 fish both days, but you caught 3 of the same fish twice.)
Answer:
197
Step-by-step explanation:
So, if you catch 100 fish on both days, that means that you have caught 200 fish. 100 on one day and 100 on the next. But, since you've caught 3 fish twice, that means that three out of 200 fish are the same and cannot be counted as new fish. So 3 from 200 is 197 fish. Hope this helped!
Day 1: 100 (3 tagged)
Day 2: 97 (3 tagged)
100+97=197
or
Day 1: 100 (3 tagged)
Day 2: 100 (3 tagged)
100+100= 200
200-3=197
Answer, 197 fish.
Factorise the following.
Answer:
Step-by-step explanation:
i). [tex]\frac{48a^3}{6a}=\frac{6\times 8\times a\times a^2}{6a}[/tex]
[tex]=\frac{6a}{6a}\times 8a^2[/tex]
= 8a²
ii). [tex]\frac{72a^3b^4c^5}{8ab^2c^3}[/tex] = [tex]\frac{8\times 9\times a\times a^2\times b^2\times b^2\times c^2\times c^3}{8ab^2c^3}[/tex]
= [tex]\frac{8ab^2c^3}{8ab^2c^3}\times 9a^2b^2c^2[/tex]
= 9a²b²c²
pretty pls help with this questionn pls i need helpp
2/17
87%
Find the volume of this cube.
5 cm
Type here to search
O
BI
III
A
3
Answer:
Volume of cube = 125 cm³
Step-by-step explanation:
Given:
Side of cube = 5 cm
Find:
Volume of cube
Computation:
Volume of cube = side³
Volume of cube = 5³
Volume of cube = 125 cm³
The polynomial 3x2 – 10x + 8 has a factor of 3x – 4. What is the other factor of 3x2 – 10x + 8?
Answer:
The other factor is (x - 2)
Step-by-step explanation:
One quick way to solve this is to factor the polynomial and see what you get:
3x² – 10x + 8
= 3x² - 6x - 4x + 8
= 3x(x - 2) - 4(x - 2)
= (3x - 4)(x - 2)
You can also solve this using long division:
[tex]\ \ \ \ \ \ \ \ \ \ \underline{x - 2\ \ \ \ \ \ \ \ \ \ \ \ \ \ } \\3x - 4\ )3x^{2} - 10x + 8\\.\ \ \ \ \ \ \ \ \ \ \underline{3x^2 - 4x}\\.\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ -6x + 8\\.\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \underline{-6x + 8}\\.\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 0R[/tex]
4 = x + 12 PLEASE HELP QUICK
Answer:
x= -8
Step-by-step explanation:
Move the terms
Calculate: -x=12-4 = -x=8
Change the signs
i need help with b and jk
Answer:
b = 1
JK = 3
Step-by-step explanation:
5b - 2 = 9b - 6
4b = 4
b = 1
JK = 3
On a blueprint, a 1 in. scale corresponds to 7 ft. To show a room with actual dimensions 35 ft wide by 16 ft long, what dimensions (in inches) should be shown on the blueprint?
Two times a number x, less 15, is greater than or equal to 4 times the number y
Answer:
2x - 15 ≥ 4y
Step-by-step explanation:
Olivia collect square pieces of cloth to make a quilt. She keeps the square pieces of cloth in a craft box. She has 18 purple squares ,34 green squares, 14 white squares, 26 blue squares, and 8 black squares. She selects one square at random and returns it to the craft box then she selects a second Square, at random what is the probability that the first Square selected is white and the second Square select it is purple
Answer:
[tex]P(White\ and\ Purple) = 2.52\%[/tex]
Step-by-step explanation:
Given
[tex]Purple = 18[/tex] [tex]Green = 34[/tex] [tex]White = 14[/tex]
[tex]Blue = 26[/tex] [tex]Black = 8[/tex]
Required
Probability of first selecting white and then selecting purple
The total boxes is:
[tex]Total = 18+34+14+26+8[/tex]
[tex]Total = 100[/tex]
The probability is represented as:
[tex]P(White\ and\ Purple)[/tex]
And the solution is:
[tex]P(White\ and\ Purple) = P(White) * P(Purple)[/tex]
[tex]P(White\ and\ Purple) = \frac{n(White)}{Total} * \frac{n(Purple)}{Total}[/tex]
[tex]P(White\ and\ Purple) = \frac{14}{100} * \frac{18}{100}[/tex]
[tex]P(White\ and\ Purple) = \frac{14*18}{100*100}[/tex]
[tex]P(White\ and\ Purple) = \frac{252}{10000}[/tex]
[tex]P(White\ and\ Purple) = 0.0252[/tex]
or
[tex]P(White\ and\ Purple) = 2.52\%[/tex]
WILL MARL BRAINLEST
A full lake begins dropping at a constantrate. After 4 weeks it has dropped 3 feet.What is the unit rate of change in the lake’slevel compared to its full level?
A.0.75 feet per week
B.1.33 feet per week
C. −1.33 feet per week
D.−0.75 feet per week
1
Answer:
A is the answer
Step-by-step explanation:
A is the answer
Please help!!!!!!!!!
Answer:D
Step-by-step explanation:
Plzz help mee I am timed
Answer:
A or D
Step-by-step explanation:
I cant totally remember, but a and d make sense. sorry, I learned about this in 6th
Please help! Thank you.
Answer:
2.478x10^7
Step-by-step explanation:
They give you each radius, so you just add them together.
15,300,000+9,480,000=24,780,000 = 2.478x10^7
(or)
1.53x10^7+0.948x10^7= 2.478x10^7
Can you help me image is here which 2 Should I drag
Answer:
54, 63
Step-by-step explanation:
6 x 9 = 54
7 x 9 = 63
WHAT ARE THESE TWO ILL GIVE BRAINLESS AND SHOW UR WORK
Let U = {1, 2, 3, 4, 5, 6, 7, 8}, A = B = and C = {1, 3, 7}. Find the following. (Enter your answers as a comma-separated list.) A ∪ B
Answer: C = {1, 3, 7}
Step-by-step explanation:
A transformation that maps the vertex A( 3 , 4 ) to A’ ( -4 , 3 ) is
Answer:
"A translation of 7 units to the left followed by a translation of 1 unit down".
Step-by-step explanation:
There are multiple transformations that map one point into another, here is one example that works particularly for translations, which are the simplest (and usually the most used) transformations.
Suppose that we have the point (a, b) which is transformed into (a', b')
Then we have a horizontal translation of (a' - a) units followed by a vertical translation of (b' - b) units.
(the order of the translations does not matter, is the same having first the vertical translation and then the horizontal one).
Here we have the point A (3, 4) transformed into (-4, 3)
Then we have a horizontal translation of ((-4) - 3) = -7 units followed by a vertical translation of (3 - 4) = -1 units.
Where a horizontal translation of -7 units is a translation of 7 units to the left, and a vertical translation of -1 unit is a translation of 1 unit down.
Then we can write this transformation as:
"A translation of 7 units to the left followed by a translation of 1 unit down".
