Answer:
The common ratio of the geometric sequence is:
[tex]r=-2[/tex]
Step-by-step explanation:
A geometric sequence has a constant ratio 'r' and is defined by
[tex]a_n=a_1\cdot r^{n-1}[/tex]
where
aₙ is the nth terma₁ is the first termr is the common ratioGiven the sequence
[tex]-2,\:4,-8,\:16,\:-32,\:...[/tex]
Compute the ratios of all the adjacent terms: [tex]r=\frac{a_n+1}{a_n}[/tex]
[tex]\frac{4}{-2}=-2,\:\quad \frac{-8}{4}=-2,\:\quad \frac{16}{-8}=-2,\:\quad \frac{-32}{16}=-2[/tex]
The ratio of all the adjacent terms is the same and equal to
[tex]r=-2[/tex]
Therefore, the common ratio of the geometric sequence is:
[tex]r=-2[/tex]pls Help I hate math
Answer:
C
Step-by-step explanation:
Remark
There are three rectangles all the same size.
There are two triangles both the same size
Triangles.
Givens
b = 7.5 cm
h = 6.5
Solution
Area 1 triangle = 1/2 * 7.5 * 6.5
Area 1 triangle = 24.375
Area 2 triangles = 2*24.375 = 48.75
Rectangles
Givens
L = 13.5
w = 7.5
Solution
Area one rectangle = L*w
Area one rectangle = 13.5*7.5
Area one rectangle = 101.25
Area three rectangles = 3*101.25
Area three rectangles = 303.75 Add
Total Area = 352.5
-16+ x= -15
Need this answer
Answer:
x=1
Step-by-step explanation:
Add
16
to both sides of the equation.x=−15+16 Add −15 and 16.x=1
Answer:
Step-by-step explanation:
-16 + x = - 15
Add 16 to both sides
-16 + 16 + x = -15 + 16
x = 1
Suppose you were to drop a stone down a well. A falling object obeys the equation s=16(t1)2 , where s is the distance fallen in feet and t is the time in seconds. Sound waves travel at a speed of about 1100 ft/sec, and the time it takes to travel a distance s is t2=s1100 . The total time it takes for you to hear the stone hit the water below equals the time it spent falling plus the time it takes the sound to reach your ear. What is the distance to the water's surface in the well if you hear the stone hit the water 4 seconds after dropping the stone?
Answer:
228.64 ft
Step-by-step explanation:
Given that the total time, t it takes for you to hear the stone hit the water below equals the time it spent falling, t1 plus the time it takes the sound to reach your ear t2.
Given that t = 4s and t = t1 + t2.
So t1 + t2 = 4 (1)
Also s = 16(t1)² and t2 = s/1100
Thus t2 = 16(t1)²/1000
From (1), t2 = 4 - t1
So 4 - t1 = 0.016(t1)²
0.016(t1)² + t1 - 4 = 0
(t1)² + 62.5t1 - 250 = 0
Using the quadratic formula to find t1,
[tex]t1 = \frac{-1 +/- \sqrt{1^{2} - 4 X -4 X 0.016} }{2 X 0.016}\\t1 = \frac{-1 +/- \sqrt{1 + 0.256} }{0.032} \\t1 = \frac{-1 +/- \sqrt{1.256} }{0.032} \\t1 = \frac{-1 +/- {1.121} }{0.032} \\t1 = \frac{-1 + 1.121 }{0.032} or t1 = \frac{-1 - 1.121 }{0.032}\\t1 = 0.121/0.032 or -2.121/0.032\\t1 = 3.78 s or -66.28 s[/tex]
Since t1 cannot be negative, t1 = 3.78 s
So, s = 16(t1)²
= 16(3.78)²
= 16(14.29)
= 228.64 ft
Peter wrote five numbers. Which of peters numbers can be divided into 7 equal groups with 0 left over? Choose that all apply 56, 52, 42, 35, 27,
Answer:
56
42
35
Step-by-step explanation:
Dave bought some licorice for $1.80 a pound. He bought some trail mix for $4.00 and some bananas for $2.40. Dave spent a total of $10.00. How many pounds of licorice did he buy?
Answer:
2 pounds
Step-by-step explanation:
10-4-2.40=3.60
3.60/1.80= 2
Answer:
2 pounds
Step-by-step explanation:
please help picture shown above... which one doesn’t belong and why?
13x - (10x + 11) + 6 = 13
PLEASE SHOW WORK
Answer:
x = 6
Step-by-step explanation:
para hacer un postre Carolina necesita 8 ingredientes para el segundo postre necesita 6 ingredientes de los cuáles 4 también entran en el primer postre¿cuántos ingredientes diferente necesita para hacer los dos postre ?
Answer:
ocupa 10 ingredientes diferentes
Answer:
ocupa 10 ingredientes diferentes
PLSSSSS HELP ME BEST ANSWER GETS BRAINLIEST
Answer:
40
Step-by-step explanation:
basexheight= area
8x10= 80
80/2=40
pls brainliest
6. Belle wants to find out the average of her test scores in Algebra. What is her average test score if she did 95, 88, 93, 80, 78, 82?
Answer:
86
Step-by-step explanation:
add up all the scores then divide by the amount of test taken. total test score is 516, total test is 6 so 516÷6=86
whoever guesses my birth month first gets the brainliest
Arrange these decimals from least to greatest.
6.00
0.56
0.060
0.6
0.056
Also if I'm right can you let me know, please?
Also Also if I am right can I please have Brainliest??
You don't need to, I'm just glad I could help. ^^
~You're a beautiful person, and worth so much, no matter your race or gender.
You deserve the world and more, and if I could give it to you, I would!
So please don't let anyone say otherwise, there are so many people in this world who love you, including me.
And if someone can't see your beauty then they're rather blind or you're just too bright for them!
Your amazing and I'm so proud of you for making it this far, so keep on with life, stay strong, and live long because I love you!
(Not in a weird way lol I love and care for everyone genuinely)
What is the volume of this rectangular prism?
Answer:
1cm³
Step-by-step explanation:
You do not need a calculator for this.
The formula for the volume of a rectangular prism is:
Length × Width × Height = Volume
If we substitute our numbers in:
5/4 × 4/3 × 3/5 = 1cm³
All you need to do is multiply across.
5 × 4 × 3 = 60
4 × 3 × 5 = 60
The numerator and denominator both equal 60. So the fraction would look like this if you were to keep it as a fraction.
60/60
PLEASE HELP :)))
triangle similarity theorem
Answer:
9i
Step-by-step explanation
Help..do not get me wrong..i have to pass this..
Answer:
Step-by-step explanation:
9/10 is equal to 18/20
3/4 is equal to 15/20
3/5 is equal to 12/20
9/20 is equal to 9/20
The next answer is 6/20 which is equivalent to 3/10
4y + 15.5 = 45.5
what is y?
Answer:
Y=7.5
Step-by-step explanation:
Tamia watched 1 2 of a movie in the morning, and she watched some more at night. By the end of the day, she still had 1 3 of the movie left to watch. How much of the movie did Tamia watch at
Answer: Tamiya watched [tex]\dfrac16[/tex] of the movie at night.
Step-by-step explanation:
Let x = part of movie watched at night.
Given : Tanya watched [tex]\dfrac12[/tex] of movie in the morning.
Part left to watch = [tex]\dfrac13[/tex]
As per given, we have
[tex]\dfrac12+x+\dfrac13=1\\\\\Rightarrow\ x=1-\dfrac13-\dfrac12\\\\\Rightarrow\ x=\dfrac{6-2-3}{6}\\\\\Rightarrow\ x=\dfrac16[/tex]
Hence, Tamiya watched [tex]\dfrac16[/tex] of the movie at night.
x=-y+3,3x-2y=-1 use substitution to solve the equation
Answer:
{x,y} = {1,2} I believe <3
Step-by-step explanation:
Answer:
3x - 2y = -1
[2] x + y = 3
Step-by-step explanation:
Noah was hired for $28.751.00 per year. How
much does Noah receive per week?
Answer:
$552.90
Step-by-step explanation:
There are 52 weeks in a year
28,751/52= 552.9038462
since this is money you just round
Solve.
show all work
-2x+10=20
Answer:
x= -5
Step-by-step explanation:
-2x+10=20
-2x+10-10=20-10
-2x=10
-2x/-2=10/-2
x = -5
There are 1200 students at silver lake middle school 700 Are eighth graders what percent of the students are in the eighth grade round to the nearest 10th of a percent
PLEASE HELP ASAP (8th grade question)
Answer:
m∠2=35°, m∠1=35°
Step-by-step explanation:
∠2 and ∠4 equal 180° when added, so 180-145=35
all angles of a triangle equal 180°, so 180-∠3-∠2=∠1
180-110-35= 35
Use the grid below to name the point at (4,3)
Answer:
B
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
In the point (4,3), the 4 is x and 3 is y. The x-axis is the bottom line so go up 4 and the vertical line is the y-axis so go right 3. The point where they meet is B.
Hope it helps!
In QRS q=9.6 inches r=9.9 inches and S=92 Find the length of a to the nearest 10th of an inch
Answer:
14
Step-by-step explanation:
delta math gave me the answer
The length of a to the nearest 10th of an inch is 13.6 inches.
What is Trigonometry?One area of mathematics known as trigonometry examines the relationship between the sides and angles of a right triangle. The relationship between sides and angles is defined for 6 trigonometric functions.
We have,
In ΔQRS q=9.6 inches r=9.9 inches and S=92.
So, s² = q² + r² - 2qr cos s
s² = 9.6² + 9.9² + 2(9.6)(9.9) cos 92.
s² = 190.71 + 190.08 x (-0.035)
s² = 183.52
s = 13.55
s = 13.6 inches
Learn more about Trigonometry here:
https://brainly.com/question/29002217
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Math Is hard please
Answer:
60 cubic inches
Step-by-step explanation:
each square is one cubic inch
find the dimensions
height=2 cubic inches
width=5 cubic inches
length=6 cubic inches
finding volume so lenght*width*height, or 2*5*6, which is 60
60 cubic inches
The LCM of two numbers is 14 times their HCF. The sum of LCM and HCF is 600. If one number is 280, then find the other number.
Given:
The LCM of two numbers is 14 times their HCF.
The sum of LCM and HCF is 600.
One number is 280.
To find:
The other number.
Solution:
Let HCF of two numbers be x.
The LCM of two numbers is 14 times their HCF.
LCM = 14x
The sum of LCM and HCF is 600.
[tex]14x+x=600[/tex]
[tex]15x=600[/tex]
[tex]x=\dfrac{600}{15}[/tex]
[tex]x=40[/tex]
So, HCF = 40 and the LCM is
[tex]LCM=14(40)[/tex]
[tex]LCM=560[/tex]
We know that, if a and b are two numbers, then
[tex]a\times b=LCM(a,b)\times HCF(a,b)[/tex]
One number is 280.
[tex]280\times b=560\times 40[/tex]
[tex]b=\dfrac{560\times 40}{280}[/tex]
[tex]b=2\times 40[/tex]
[tex]b=80[/tex]
Therefore, the other number is 80.
can someone plz help me?
Answer: x = 2
Step-by-step explanation: the interior angles of a rhombus add to 360 degrees and since half of 360 is 180, create the equation 130 + (36 +7x) and set it equal to 180. when solved 130 + (36 +7x) = 180 you get x =2
answer
1st rearrange the terms. then subtract 36 in both sides.then you will get 94=7x then simplify by dividing by 7. then you will get 13.4285714286. which if you round up maybe its 94/7.
6. Find the measure of each
marked angle.
The measure of each marked angle is 60 degrees for the given figure, which are alternate exterior angles.
The angles are given as:
∠1 = 10x-20 and ∠2 = 7x+4
As we know that alternate exterior angles are described as the pair of angles formed on the outer side of the parallel lines and on opposite sides of the transversal when two parallel lines are crossed by a transversal.
By alternate exterior angles, it can be written as:
∠1 = ∠2
10x-20 = 7x+4
10x -7x = 4 + 20
3x = 24
x = 24/3
x = 3
From given angles:
80 - 20 = 60
56 + 4 = 60
Thus, the measure of each marked angle is 60 degrees.
Learn more about alternate exterior angles here:
https://brainly.com/question/23134598
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The rectangles are similar. What is the value of x?
Answer:
80
Step-by-step explanation:
30 ÷ 6 = 5
16 × 5 = 80
I hope this helped!
Jenny bought gas for her car gas cost $3.45 per gallon Jenny bought 12.5 gallons what was the total of Jenny's gas
Answer: $43.13
Step-by-step explanation:
The cost of a gallon of gasoline is $3.45.
Jenny bought 12.5 gallons of said gasoline. Her total cost is therefore:
= Cost of a gallon * number of gallons purchased
= 3.45 * 12.5
= $43.13
Answer:
43.14
Step-by-step explanation: