Answer:
Q7. a₁ = 1 , r = 5, aₙ = 5ⁿ⁻¹Q8. a₁ = 29, d = 6, aₙ = 6n + 23Q9. a₁ = 7, r = 7, aₙ = 7aₙ₋₁Step-by-step explanation:
Q7.
Given sequence
1, 5, 25, ...This is a GP with the first term of a₁ = 1 and common ratio r = 5
Explicit formula is:
aₙ = 1*5ⁿ⁻¹= 5ⁿ⁻¹Q8.
Given sequence
29, 35, 41, ...This is an AP with the first term of a₁ = 29 and common difference d = 6
Explicit formula:
aₙ = 29 + 6(n - 1) = 29 + 6n - 6 = 6n + 23Q9.
Given sequence
7, 49, 343, ...This is a GP with the first term a₁ = 7 and common ratio r = 7
Recursive formula is:
aₙ = aₙ₋₁*7 = 7aₙ₋₁Given 2X + 4Y = 13 and 3X + Y = 2, what is the value of X?
Answer:
x = -1/2
Step-by-step explanation:
2x + 4y = 13
3x + y = 2 (you can multiply this equation by -4 in order to eliminate the y-term)
-4(3x + y = 2) = -12x - 4y = -8
+ 2x + 4y = 13
-10x = 5
x = -5/10 or -1/2
x(-1/2) + 4y = 13
-1 + 4y = 13
4y = 14
y = 14/4 or 7/2 or 3 1/2
What is 10 percent of 44
Answer:
4.4
Step-by-step explanation:
10% of 44 is 4.4
Answer:
4.4
Step-by-step explanation:
The sequence follows a times -1 pattern: 6, -6, 6, -6. Write a formula for the (n)th term of the sequence. Your “n” term must start with 1
Answer:
The formula for the nth term of the sequence is:
[tex]a_n=a_1\cdot r^{n-1}[/tex]
Step-by-step explanation:
Given the sequence
6, -6, 6, -6
A geometric sequence has a constant ratio r and is defined by
[tex]a_n=a_1\cdot r^{n-1}[/tex]
Computing the ratios of all the terms of the adjacent terms
[tex]\frac{-6}{6}=-1,\:\quad \frac{6}{-6}=-1,\:\quad \frac{-6}{6}=-1[/tex]
The ratio of all the adjacent terms is the same and equal
so
r = -1
so substituting r = -1 and [tex]a_1=6[/tex] in the geometric sequence
[tex]a_n=a_1\cdot r^{n-1}[/tex]
[tex]a_n=6\left(-1\right)^{n-1}[/tex]
Thus, the formula for the nth term of the sequence is:
[tex]a_n=a_1\cdot r^{n-1}[/tex]
what is the solution to this system? y= 2x + 2, y= x - 1
Answer:
(-3, -4)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
y = 2x + 2
y = x - 1
Step 2: Solve for x
Substitution
Substitute in y: 2x + 2 = x - 1Isolate x terms: x + 2 = -1Isolate x: x = -3Step 3: Solve for y
Define equation: y = x - 1Substitute in x: y = -3 - 1Subtract: y = -4Determine if the two triangles are congruent. If they are, state how you know.
((If you only know the answer to one, that’s fine. anything helps))
Answer:
bsuxnd6djsj hsujehe I am going to have 3gysuue yusbe I will get the 2ybhsie usibeh I will h eyeh and the kids g. b73 yv 6e7ueh hehe gud b y I b 6hhe I am going to have to get a few things that are not on the schedule for me and I 2.
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Find the sum of these numbers.
3186 + 957 =
Please Help!
A young sumo wrestler decided to go on a special high-protein diet to gain weight rapidly. After 11months, he weighed 140 kilograms. He gained weight at a rate of 5.5 , point, 5 kilograms per month. Let yyy represent the sumo wrestler's weight (in kilograms) after xxx months.
Answer:
y = 5.5x + 79.5
Step-by-step explanation:
Given that:
Weight gained after 11 months = 140 kg
Rate of weight gain = 5.5kg per month
Weight in kg after x months = y
Representing the equation in the form:
y = mx + c
m = rate of water gain = slope = 5. 5
.the intercept c, can be obtained thus ;
x = 11 ; y = 140
140 = 5.5(11) + c
140 = 60.5 + c
140 - 60.5 = c
79.5 = c
Hence,
y = 5.5x + 79.5
please help me please will give brainliest to anyone who is good
show your reasons
The entry tickets at a community fair cost $5 for children and $10 for adults. On a certain day 1000 people entered in the fair $7, 100 is collected. How many adults and how many children were in the fair.
Answer:
580 children
420 adult
Step-by-step explanation:
y=1000 -x
-5x+10000=7100
-5x=-2900
x=580
1000-580=420 y=420
A=|3x-6| + 2 , xeR
prove that:
A=3x-4 for every x≥2
Answer:
We know that the function IxI is such that:
IxI = x if x ≥ 0
IxI = -x if x < 0.
In this case, we have:
A = I3x - 6I + 2
If we do the same as above, we can write:
A = (3x - 6) + 2 if (3x - 6) ≥ 0
Let's look at the condition in the right, let's isolate the variable:
(3x - 6) ≥ 0
3x ≥ 6
x ≥ 6/3 = 2
Then the condition:
(3x - 6) ≥ 0
is equivalent to:
x ≥ 2
Then we can write:
A = (3x - 6) + 2 if x ≥ 2
If we simplify it further, we get:
A = 3x - 6 + 2 if x ≥ 2
A = 3x - 4 if x ≥ 2
This is what we wanted to prove.
Add (−x + 4) + (3x + 2). I WILL MARK BRAINLIST!
Answer:
2x+6
Step-by-step explanation:
(-x+4)+(3x+2) remove ()
-1x+4+3x+2 combine like terms
2x+6
What is the smallest data when referring to data and statistics? Word Bank: Mean, Median, Mode, Range, Quartile, Interquartile Range, Minimum, Maximum *
Answer:
Minimum
Step-by-step explanation:
Answer:
Minimum
Step-by-step explanation:
Minimum means the least or smallest amount or quantity possible, attainable, or required.
can someone help me please. thanks!
Answer:
if you turn it sideways it looks like an acute so i think it will be 60* or 61* i am not sure
Step-by-step explanation:
Answer:
58?
Step-by-step explanation:
1. Elena takes two triangles off of the left side and three
triangles off of the right side. Will the hanger still be
in balance, or will it tip to one side? Which side?
Explain how you know.
Answer:
Step-by-step explanation:
HELP PLEASE IM ALMOST DONE I WILL MARK BRAINLIEST
Answer:
y = 94
x = 86
Step-by-step explanation:
brainliest plz
Rewrite using a single positive exponent.
78
73
Read the caption please! Thank you :)) please help!
Answer:
[tex]\huge\boxed{\sf 360 \ degrees}[/tex]
Step-by-step explanation:
A quadrilateral (having four sides) has a sum of interior angles equal to 360 degrees.
Since, A Parallelogram has 4 sides so it is also a quadrilateral which means that the sum of its interior angles equal 360 degrees.
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Solve for Z
(This should be another easy question, + there are answers you can choose from)
Answer:
Z = 6
Step-by-step explanation:
Z/12 = Cos(60°)
Z/12 = 1/2
if perimeter and length of a rectanguar field are 154m and 42m respectively, find its breadth
Answer:
Assuming you mean width not breadth (What is that)
The width would be: 35m
Step-by-step explanation:
Now its pretty staight forward
We know that the length is 42m
And the permineter is 154m
We know that the perimeter is the 2 widths and 2 lengths all added up to each other (basically very side added up)
An eaution could be used like, 2w+2l=154
We know length is 42 so
2w+2*42=154
Now just solve for W
2*42=84
2w+84=154
154-84= 70
70=2w
70/2=35
w=35
The track at the middle school is 200 meters. Rachel runs 1 ½ laps in 90 seconds. Find Rachel’s speed in meters/second
Answer:
3.33 meters per second
Step-by-step explanation:
1 1/2 laps = 200+100 = 300
use formula: distance = rate x time
t = time (in meter per second)
300 = 90t
t = 300/90 which reduces to 3.33/1
Someone help me please and thank you!! ASAP :(
Work Shown:
[tex](f+g)(x) = f(x)+g(x)\\\\(f+g)(x) = \frac{x-23}{x^2+9x-36}+\frac{1}{x+12}\\\\(f+g)(x) = \frac{x-23}{(x+12)(x-3)}+\frac{1(x-3)}{(x+12)(x-3)}\\\\(f+g)(x) = \frac{x-23+1(x-3)}{(x+12)(x-3)}\\\\(f+g)(x) = \frac{x-23+x-3}{x^2+9x-36}\\\\(f+g)(x) = \frac{2x-26}{x^2+9x-36}\\\\[/tex]
We must require that [tex]x \ne -12[/tex] and [tex]x \ne 3[/tex] to avoid having 0 in the denominator. This is why choice D is the answer.
How many square feet of outdoor carpet will
we need for this hole?
?
12 ft
2 ft
2 ft
4 ft
The amount of carpet needed to make the hole is 44 ft²
Area
Area is the amount of space that a two dimensional object or figure occupies.
The area of the big rectangle = length * width = 12 * 4 = 48 ft²
Area of hole = length * width = 2 * 2 = 4 ft²
Amount of carpet required = 48 ft² - 4 ft² = 44 ft²
The amount of carpet needed to make the hole is 44 ft²
Find out more on area at: https://brainly.com/question/25292087
Solve the system using elimination.
−3 − 2 = −4
9 + 3 = 15
Answer:
1) −5≠−4
False
2) 12≠15
False
Step-by-step explanation: I guess this is what you looking for, hope this help
Answer:
2 is true because I solved it
5. What is the solution set for -4 x - 10 s 2?
Answer:
-4x - 20x
Step-by-step explanation:
Multiply 2 by -10
2) Pranavi can hike 4 mile in 7% minutes. How long would it take her to hike
a mile?
can i have some help
Answer:
Please check explanations for answer
Step-by-step explanation:
To answer this, we need to understand something
Firstly is that we have dotted lines of the inequality line does not have an equal
to
And also, the solution is directly related to the inequality sign. If it states greater than, solution will be greater than (above the line). If it states less than, solution will be less than (below the line)
So let us take the inequalities one after the other from left to right
1. solid line and below the line
2. dotted lines and above the line
3. solid line and above the line
help plz I am being timed will give brainliest
Answer:
-3/4
Step-by-step explanation:
2 1/2 = 5/2 = 10/4
1 3/4 = 7/4
when you subtract, you add and change the sign of the second term (add the opposite)
-10/4 + 7/4 = -3/4
PLSSSSSSS HELP ME I DON'T KNOW WHAT TO DO
Answer:
8 bulbs
Step-by-step explanation:
In the model, each + represents a dollar
4 +s for the shipping cost, 20 +s for the total cost.
Therefore we have 2x (since each bulb is $2) + 4 = 20
2x = 16
x = 8
Step-by-step explanation:
x is the number of bulbs.
We have $2x + $4 = $20.
=> $2x = $16, x = 8.
Hence Sheila can order 8 flower bulbs.
Triangle P R Q is shown. The length of P R is 4, the length of R Q is 6, and the length of P Q is 5. Law of cosines: a2 = b2 + c2 – 2bccos(A) Find the measure of AngleQ, the smallest angle in a triangle whose sides have lengths 4, 5, and 6. Round the measure to the nearest whole degree. 34° 41° 51° 56°
Answer:
41°
Step-by-step explanation:
Using cosine rule : since the 3 sides are given
p = 6 ; q = 4 ; r = 5
q² = p² + r² - 2prCosQ
2prCosQ = p² + r² - q²
COS Q = (p² + r² - q²) / 2pr
Cos Q = (6² + 5² - 4²) / 2*6*5
Cos Q = 45 / 60
Cos Q = 0.75
Q = Cos^-1 (0.75)
Q = 41.409622
Q = 41° ( nearest degree)
Answer:
Step-by-step explanation:
b 41 degrees
Simplify: -4(2 - 8x)
Answer:
32 − 8
Step-by-step explanation:
1. Rearrange terms
− 4 (2 − 8)
− 4 (− 8 + 2)
2. Distribute
− 4 (− 8 + 2)
32x - 8