Answer:
aₙ = -2aₙ₊₁
Step-by-step explanation:
According to the sequence given 16, -8, 4, ...
a1 = 16
a2 = -8
a3 = 4
From the values, we can conclude thst;
a1 = -2(-8)
Since a2 = -8, then;
a1 = -2(a2)
Similarly
a2 = -2(4)
a2 = -2a3
The subsequent sequence are;
a3 = -2a4
The nth term will ne;
aₙ = -2aₙ₊₁
Hence the required recursive function is aₙ = -2aₙ₊₁
The recursive formula for the given sequence is
[tex]a_{n}=-\frac{1}{2} (a_{n-1})\\[/tex]
Given :
The terms of the sequence are 16, -8, 4, ...
Lets find the difference between the terms
[tex]-8-16=-24\\4-(-8)=12[/tex]
There is no common difference. So this is not an arithmetic sequence
Now we check common ratio'
[tex]\frac{-8}{16} =-\frac{1}{2} \\\frac{4}{-8} =-\frac{1}{2} \\[/tex]
The common ratio is -1/2
Now we write recursive formula
[tex]a_{n}=r(a_{n-1})[/tex]
Where 'r' is the common ratio
[tex]a_{n}=r(a_{n-1})\\a_{n}=-\frac{1}{2} (a_{n-1})\\[/tex]
The recursive formula is
[tex]a_{n}=-\frac{1}{2} (a_{n-1})\\[/tex]
Learn more : brainly.com/question/24231459
Solve the question ?
Look at the angle
Answer:
there is a cockroach on your screen bro
Answer:
=62°
Step-by-step explanation:
right angle = 90°
90-28=62
Find the volume of the cylinder with the radius of 1.5 inches and the height of 8 inches.
Answer:
56.55 in.
Step-by-step explanation:
Answer:
volume= 56.55
plz mark me as brainliest
Concept 10.3: Find the area of the shaded sector. Round to the nearest tenth.
Answer:
c
Step-by-step explanation:
Step-by-step explanation:
Here's your solution
=> area of circle = πr^2
,=> area = (22/7)*6*6
=> area = 113.04 insq
=> area of sector =( πr^2*8°)/360°
=> area of sector = 2.51 insq
=> area of shaded region = 113.04 - 2.51
=> area = 110.53 in.sq
hope it helps
pleaseee help me with this Kahn!!
Answer:
9
Step-by-step explanation:
The given two triangles must be similar by AA similarity Condition . Therefore ,
∆EDA ~ ∆ CBA .And the corresponding sides of the similar triangles are Proportional . Therefore ,
⇒ ED/ CB = AD/AB
⇒ 11/2 = 3 + x / 3
⇒ 33 = 2(3+x)
⇒ 6 + 3x = 33
⇒3x = 33 - 6
⇒ 3x = 27
⇒ x = 27/3
⇒ x = 9
Hence the value of x is 9 .Gerri is unsure whether a six-sided number cube is fair. She rolls the number cube 35 times and records the outcomes in the table below.
Outcome
1
2
3
Frequency
6
8
3
12
4
5
1
6
5
Based on the observed frequencies, which percent represents a reasonable probability of rolling a number less than 3?
14%
o
33%
o
40%
O
49%
Answer:
40%
Step-by-step explanation:
In order to calculate this probability we need to calculate the frequency of all the numbers rolled that were less than three. Since this would be numbers 1 and 2 and 1 was rolled 6 times while 2 was rolled 8 times, therefore, we add these numbers together.
6 + 8 = 14
Since we are tolled that the total number of rolls were 35, we now divide the number of rolls that were less than 3 (14 rolls) by the total number of rolls made (35 rolls). This would give us the probability of rolling a number less than 3
14 / 35 = 0.4 ... multiply by 100 to get percentage
0.4 * 100 = 40%
Ordena los términos del 1 al 5, de tal manera que
cada término se construya del término (s) anterio
Explica por qué cada figura está en el lugar que
eliges. Los términos son: cuadrilátero, cuadrado
rombo, rectángulo y paralelogramo
Answer:
El orden es;
1) Cuadrilátero, 2) Rombo, 3) Paralelogramo, 4) Rectángulo, 5) Cuadrado
Step-by-step explanation:
Los términos dados son;
Cuadrilátero; Una forma con cuatro lados
Rombo; Un cuadrilátero con cuatro lados iguales
Cuadrado; Un cuadrilátero con cuatro lados iguales y cuatro ángulos iguales y dos lados paralelos opuestos
Rectángulo; Un cuadrilátero con cuatro ángulos rectos y dos lados paralelos opuestos
Paralelogramo; Un cuadrilátero con un par de lados paralelos opuestos
Observamos que todos los términos son cuadriláteros, por lo tanto, el cuadrilátero es el primer término
Por lo tanto, tenemos,
La primera forma es el cuadrilátero,
El cuadrilátero se transforma en un rombo (un cuadrilátero con lados iguales)
El ángulo del rombo se ajusta para dar un paralelogramo
El ángulo de paralelogramo dado cuatro ángulos iguales de 90 ° para dar un rectángulo
El rectángulo se ajusta para dar un cuadrado con todos los lados iguales
Which measurements could not represent the side lengths of a right triangle?
A 6 cm, 8 cm, 10 cm
B В
12 cm, 35 cm, 37 cm
C 4 cm, 6 cm, 10 cm
10 cm, 24 cm, 26 cm
Answer: C
Step-by-step explanation: a^2 + b^2 = c^2
A. 6^2 + 8^2 = 10^2
B. 12^2 + 35^2 = 37^2
C. 4^2 + 6^2 does not equal 10^2.....(16 + 36 = 52 10^2 = 100)
D. 10^2 + 24^2 = 26^2
The measures of the triangles 4 cm, 6 cm, and 10 cm do not represent a right angle triangle because it does not follow the Pythagoras theorem option (C) is correct.
What is a right-angle triangle?It is defined as a triangle in which one angle is 90 degrees and the other two angles are acute angles. In a right-angled triangle, the name of the sides are hypotenuse, perpendicular, and base.
For the triangle sides:
6 cm, 8 cm, and 10 cm
From the Pythagoras theorem:
[tex]10^2=8^2+6^2[/tex]
100 = 100
These sides satisfy the Pythagoras formula.
For the triangle sides:
12 cm, 35 cm, and 37 cm
From the Pythagoras theorem:
[tex]37^2=35^2+12^2[/tex]
1369 = 1369
These sides satisfy the Pythagoras formula.
For the triangle sides:
4 cm, 6 cm, and 10 cm
From the Pythagoras theorem:
[tex]10^2=6^2+4^2[/tex]
100 ≠ 52
These sides do not satisfy the Pythagoras formula.
For the triangle sides:
10 cm, 24 cm, and 26 cm
From the Pythagoras theorem:
[tex]26^2=24^2+10^2[/tex]
676 = 676
These sides satisfy the Pythagoras formula.
Thus, the measures of the triangles 4 cm, 6 cm, and 10 cm do not represent a right angle triangle because it does not follow the Pythagoras theorem option (C) is correct.
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A variable needs to be eliminated to solve the system of equations below. Choose the
correct first step.
3x – 4y = -43
- 4x 4y = -36
Subtract to eliminate y.
Subtract to eliminate x.
Add to eliminate x.
Add to eliminate y.
Answer:
Add to eliminate y
Step-by-step explanation:
Add to eliminate y
The x - coordinate of A' is _____
. The y - coordinate of A' is _____
Help Please ;-;
Answer:
The new coordinates are : (5,4)
Step-by-step explanation:
Find the surface area of the figure below.
Answer:
696.8 mm^2
Step-by-step explanation:
Well first lets find the bottom part of the square first.
13*13= 169
Thats the floor
13*5= 65
Thats 1 of the sides
there are 4 sides
65*4= 260
260+169= 429
Now find the triangle
(13*10.3) / 2
You’d get 66.95
66.95 *4 since there are 4 sides
You’d get 267.80
267.8+429= 696.8
PLEASE HELP IT IS AN EMERGENCY! I WILL GIVE BRAINLIEST!
Answer:
volume = 1056 in³
Step-by-step explanation:
area of face = (2 x 6 x 7) + (6 x 8) = 132 in²
volume = 132 x 8 = 1056 in³
colin bought a postcard for 45 cents . he gave the cashier $1 how much change did he receive
Answer: $.55
Step-by-step explanation:
The value of cost he received in change is,
⇒ 55 cents
What is mean by Subtraction?Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.
Given that;
Colin bought a postcard for 45 cents.
And, he gave the cashier $1.
Since, We know that;
1 dollar = 100 cents
Hence, The value of cost he received in change is,
⇒ 100 cents - 45 cents
⇒ 55 cents
Thus, The value of cost he received in change is,
⇒ 55 cents
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HELP PLEASE I WILL GIVE BRAINLIST
Answer:
19
Step-by-step explanation:
it’s the only one within Q3
There are 10 circles and 6 squares. What is the simplest ratio of squares to circles? Please answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
6:16 :)
Step-by-step explanation:
A square piece of sheet metal has an area of 25 square meters. How long is each side?
john ran 6 1/2 miles. Ben ran half the distance that John ran. Sara ran a total of 4.75 miles. What was the total distance combined of all three numbers
John ran 6 1/2. Ben ran half of that, so he had run 3 1/4 and Sarah ran 4.75 miles. Add those up and you get 14.5
Can I have brainllest
An angle measures 32° less than the measure of its complementary angle. What is the
measure of each angle?
Answer:
First angle = x
Second angle = x - 32
We know that, complementary angles form => 90°
So,
[tex]x + x - 32= 90 \\ 2x = 90 + 32 \\ 2x = 122 \\ x = \frac{122}{2} \\ x = 61[/tex]
First angle,
=> x = 61°
Second angle
[tex]x - 32 \\ = 61 - 32 \\ = 29[/tex]
Second angle,
=> 29°
(≧▽≦)
Pleassssseee heelelllppp
Samantha and her children went into a grocery store and she bought $7 worth of bananas and peaches. Each banana costs $0.40 and each peach costs $0.50. She bought a total of 15 bananas and peaches altogether. Determine the number of bananas and the number of peaches that Samantha bought.
Answer:
Ten Peaches and five bananas.
Step-by-step explanation
To solve the problem increase the cost by adding more peaches and less by adding more bananas
7 peaches = 3.50
8 bananas = 3.20 + 3.50 = 6.70
We need 30 more cents so add three more peaches
10 peaches = 5
5 x 0.4 = 2
2 + 5 = 7
Question 5 options:
The radius of a circle is 18.4 inches. The circle's circumference is about ___ inches.
Use 3.14 for .
The circumstance is about 115. 61 inches. Hope that helps!
how to solve 2x^2 - 4x = 3
Answer:
1 ± i(1/2)√2
Step-by-step explanation:
Write this quadratic in standard form: subtract 3 from both sides. This results in 2x^2 - 4x - 3 = 0. Let's apply the quadratic formula. The coefficients of the x terms are 2, -4 and -3, so the discriminant is (-4)^2 - 4(2)(-3), or 16 - 24 = -8.
Following the format of the quadratic formula, we get
-(-4) ±i2√8 4 ±i2√2
x = ----------------- = --------------- = 1 ± i(1/2)√2
4 4
4 minus 1.2
what is it 2.8 instead of 3.2?
Answer:
2.8 is correct
Step-by-step explanation:
4.0
- 1.2
The 0 becomes 10
10 - 2 = 8
The 4 becomes 3
3 - 1 =2
2.8
If y = 12 when x = 3, find x when y = 6.
I need this by tonight I don’t understand this part of my work
Answer:
X would equal 1.5
Step-by-step explanation:
if 12 divided by 2 equals 6, then you have to find what's half of 3 which is 1.5
John gave away 20% of his savings to Charlie he gave away $80 how much did John have in his savings. PLSSSS HEELPP
Answer:
$400
Step-by-step explanation:
20% = 1/5
$80 x 5 = $400
how do i solve f^2+3f-5=0
Answer:
[tex] x = \dfrac{3+\sqrt{29}}{2},\dfrac{3-\sqrt{29}}{2}[/tex]
Step-by-step explanation:
This kinda Questions can be easily done using the Quadratic formula or Shreedhacharya's Formula . Which is used to find the roots of a quadratic equation in Standard form of ax² + bx +c = 0 .
Wrt . Standard form ,
[tex]\implies x = \dfrac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\\implies x = \dfrac{-3\pm \sqrt{3^2-4(1)(5)}}{2(1)}\\\\\implies x = \dfrac{-3\pm \sqrt{9+20}}{2} \\\\\implies \boxed{\boxed{ x = \dfrac{3+\sqrt{29}}{2},\dfrac{3-\sqrt{29}}{2}}}[/tex]
This is our required answer.
Which points are on the graph of the equation
Answer: C (0,-2) is one of them.
As an estimation we are told £3 is €4.
Convert £72 to euros.
(72×4)÷3
Please solve this
Any answer you get is the Answer
Answer:96€
Step-by-step explanation:3 £c responde a 4€ então 72£ corresponde a 96 € por uma regra de três simples 72x4:3
pleas e help !?!?!!j
Answer:
see explanation
Step-by-step explanation:
step 2 : 4x + 4 - 2x = - 6x + 6 + 14
Simplify both sides by collecting like terms ← what was done
step 3 : 2x + 4 = - 6x + 20
------------------------------------------
step 4 : 8x + 4 = 20
Subtract 4 from both sides ← what was done
8x = 16
Athena deposits $500 into a savings account that earns 5.4% simple interest. She will not make any additional deposits or withdrawals. How much interest will Athena earn at the end of 3 years?
Answer:
Interest earned= $81
Step-by-step explanation:
Giving the following information:
Athena deposits $500 into a savings account that earns 5.4% simple interest.
Number of periods= 3 years
To calculate the interest earned, we need to use the following formula:
I= P*r*t
P= principal
t= number of periods
I= 500*0.054*3
I= $81
Someone help me with this
Answer:
x=58
Step-by-step explanation:
I think it's helps you
URGENT!!!!!!!! PLEASE HELP ASAP TIMED!!!!!!!!!!!!!!! HELP!!!!!!!!!!!!!!!!!
Answer:
The values of x and y are 23.83 and 31.1.
Step-by-step explanation:
Given that,
Perpendicular = 20 units
Angle, [tex]\theta=40^{\circ}[/tex]
We need to find the values of x and y.
Using trigonometry,
[tex]\tan(40)=\dfrac{20}{x}\\\\x=\dfrac{20}{\tan(40)}\\\\x=23.83[/tex]
To find y use Pythagoras theorem,
[tex]y^2=23.83^2+20^2\\\\y=31.1[/tex]
So, the values of x and y are 23.83 and 31.1.