Please someone please helps me with this question pls
If a1 = 7 and an = 3an-1 + 3 then find the value of a5.
Find the value of a5
Answer:
here you go
Step-by-step explanation:
Recursive expressions are ways of expressing sequence using functions. The fifth term of the recursive sequence is 567.
What is Recursive functions?Recursive functions are ways of expressing sequence using functions. Recursive Function is a function that repeats or uses its own previous term to calculate subsequent terms and thus forms a sequence of terms.
here, we have,
given that,
Given the following recursive functions
a₁=7 and;
aₙ = -3aₙ₋₁
For the second term;
a₂ = -3a₁
a₂ = -3(7)
a₂ = -21
For the third term a₃
a₃ = -3a₂
a₃ = -3(-21)
a₃ = 63
For the fourth term
a₄ = 3a₃
a₄ = 3(63)
a₄ = 189
For the fifth term
a₅ = 3a₄
a₅ = 3(189)
a₅ = 567
Hence the fifth term of the recursive sequence is 567.
Learn more on recursive sequence here:
brainly.com/question/19424045
#SPJ2
You roll a six sided number cube and flip a coin. What is the probability of rolling a number greater than 5 and flipping heads.
Answer:
1/6 for the number cube and 1/2 for coin
Step-by-step explanation:
Answer:
1/12
Step-by-step explanation:
There are a total of 12 possible outcomes (numbers 1 through 6, and a heads or tails for each one). There is only 1 outcome where the number rolled is greater than 5 (has to be 6) and you flip a head.
So there is a 1 out of 12 chance.
1/12
Gabriela bought 48 tickets in order to win the $1000 grand prize for the raffle organized by the Student Council. If there are
432 tickets sold for the raffle, what is the probability that Gabriela will not win the grand prize?
Answer:
[tex]\frac{8}{9}[/tex]
Step-by-step explanation:
Since there are 432 tickets total and Gabriela bought 48, the chances of Gabriela not winning the grand prize is equal to the chance of any of the tickets she did not buy getting drawn. If she bought 48, then she did not buy 432-48=384 tickets. The chances of any of these being drawn is:
[tex]\frac{384}{432}=\boxed{\frac{8}{9}}[/tex]
can someone help me with this?<33
9514 1404 393
Answer:
-35
Step-by-step explanation:
Replace F with -31 and do the arithmetic.
C = 5/9(-31 -32)
C = (5/9)(-63) = -35
The temperature in degrees Celsius is -35.
Micheal records the number of miles he runs each week for nine weeks.
6,11,13,8,15,9,11,5,9
Which box plot represents the data?
Answer:
... c
Step-by-step explanation:
the area of a square whose sides have length x cm is increasing at the rate of 12cm²/s. how fast is the length of a side increasing when the area is 81cm²
Answer:
0.67 cm/s
Step-by-step explanation:
The area of a square is given by :
[tex]A=x^2[/tex] ....(1)
Where
x is the side of a square
[tex]\dfrac{dA}{dt}=12\ cm^2/s[/tex]
Differentiating equation (1) wrt t.
[tex]\dfrac{dA}{dt}=2x\times \dfrac{dx}{dt}[/tex]
When A = 81cm², the side of the square, x = 9 cm
Put all the values,
[tex]12=2\times 9\times \dfrac{dx}{dt}\\\\\dfrac{dx}{dt}=\dfrac{2}{3}\\\\\dfrac{dx}{dt}=0.67\ cm/s[/tex]
So, the length of the side of a square is changing at the rate of 0.67 cm/s.
7x+8y= 8
Slope
Y intercept
Answer:
Slope = -7/8
Y-intercept = (0, 1)
Step-by-step explanation:
Answer:
[tex]slope = - \frac{7}{8} [/tex]
y- intercept= 1
Step-by-step explanation:
Rearrange the equation such that it is in the form of y=mx+c. This form is known as the slope-intercept form, and m is the gradient while c is the y-intercept.
7x +8y= 8
8y= -7x +8
Divide by 8 on both sides:
[tex]y = - \frac{7}{8} x + 1[/tex]
Thus, the slope is [tex] - \frac{7}{8} [/tex] and the y-intercept is 1.
Another way to find the y-intercept is to substitute x= 0 into the equation since the y-intercept occurs at x= 0.
7x +8y= 8
When x= 0,
7(0) +8y= 8
8y= 8
y= 8 ÷8
y= 1
Thus, the y-intercept occurs at y= 1 or the coordinate (0, 1).
Note: slope and gradient have the same meaning and can be used interchangeably
help(I need this to pass 6th)
Answer:
It is going to be the first one
Plz help meeeeeeeeeeee
Answer:
kjk
Step-by-step explanation:
ddfv
hay guys can you plz help
We can notice from the figure that : Area of the home plate is equal to sum of the Area of the rectangle ( 8 in x 15 in) and Area of the triangle with height 6 in and base 15 in.
Area of the rectangle : Length x Width
⇒ Area of the rectangle = 15 x 8 = 120 in²
Area of the triangle : 1/2 x Base x Height
⇒ Area of the triangle = 1/2 x 15 x 6 = 45 in²
Area of the home plate = Area of rectangle + Area of triangle
⇒ Area of the home plate = 120 in² + 45 in² = 165 in²
Answer : D
lolllllllllllllllllllllllllllllllllllllllllllllllllllllllllllll
Answer:
trapezoid
hope this helps
have a good day :)
Step-by-step explanation:
What is the value of 4^3 divide 2^3
Answer:
98
Step-by-step explanation:
Multiply the reciprocal of the second number,
Multiply the numerators and denominators respectively,
Answer:
8
Step-by-step explanation:
Reduce the expression by cancelling the common factors
Mr. Moore planted a tree in his backyard. His tree grew 3 1/3 feet over five years. if his tree grew at the same rate each year, how much did the tree grow per year.
A. 1/5 foot
B. 1/3 foot
C. 3/5 foot
D. 2/3 foot
Answer:
D. 2/3 per year.
Step-by-step explanation:
3 1
3
÷ 5
=
10
3
÷ 5
=
10
3
×
1
5
=
10 × 1
3 × 5
=
10
15
=
10 ÷ 5
15 ÷ 5
=
2
3
50 POINTS !!
PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.
Answer:
h = 6.7km
Step-by-step explanation:
4.5^2 + 4.9^2 = c^2
44.26 = c^2
6.65 = c
How does 84.013 compare to 84.01
84.013 > 84.01
84.013 < 84.01
84.013 = 84.01
Answer:
84.013 > 84.01
Step-by-step explanation:
84.013 is more than 84.01 because it has .12
Explain why the remaining figures( BESIDES D ) are not nets.
Step-by-step explanation:
A) there are only five rectangles
B) when you fold it together two pieces will overlap
C) im not sure for this cuz it seems to me this is a net
D) N/A
E) same as (B), when you fold it together two pieces will overlap
Need help please!!!!!!!!!!
Answer:
n=39
Step-by-step explanation:
I answered, now do the test on your own, no one likes a cheater
Which expression shows the prime
factorization of 66?
A 32 x 11
B 2x 3 x 11
C 6 x 11
Find the Slope between the two points: (-4,3) and (2,-9)
Answer:
-2
Step-by-step explanation:
going from 3 to -9 is taking away 12, so -12.
going from -4 to 2 is adding 6, so 6.
-12/6 simplifies to -2/1, or -2
This one to sisters and brothers ❤️
Answer:
gghhjjjbdnhfhnjjj
Step-by-step explanation:
bnkkkklooop
Answer:
B
Step-by-step explanation:
Two fractions are equivalent if the value, proportion, or quantity they represent is the same. Equivalent fractions can have different numerators and denominators. 3*2g²/3h equals b
Q6) There are 40 boys and 20 girls at a party.
35% of the boys and 60% of the girls are wearing sunglasses.
How many people are wearing sunglasses altogether?
Answer: 26 people
Step-by-step explanation: For the boys, there are 40 boys and only 35% of them are wearing sunglasses. To find how many boys are wearing sunglasses, you have to find 35% of 40. 0.35 • 40 is 14. So 14 boys are wearing sunglasses. Now for the girls, there are 20 girls and 60% of them are wearing sunglasses. So, you find 60% of 20. 0.6 • 20 is 12. 12 girls are wearing sunglasses. However, since we want to know how many people are wearing sunglasses altogether, we need to add up the number of boys that are wearing sunglasses to the number of girls that are wearing sunglasses. 14 boys + 12 girls = 26.
So your final answer is: 26 people are wearing sunglasses altogether.
**Hope this helps (I tried)**
A regular hexagon has a perimeter of 127 m. Find its area to the nearest tenth.
Answer:
1164.01
Step-by-step explanation:
First you realize there is 6 sides on a hexagon. Then, you divide the 127 by 6. Then you split the hexagons into 6 parts. This leads you to a triangle. Then if you divide the degrees so 360 total degrees/6 parts = 60. If you split that triangle in half, the angle becomes 30 degrees. Then you will realize the 30 degree is pointed at the 127/12. Because you know the x, (x)(Square root 3), 2x theorem (the 30, 60, 90 triangle), you get the height of the triangle which is about 18.33 . Then you do the area of Triangle = 1/2 * base * height. Therefore you should get 194.00 Because there is 6 parts to a hexagon, you then need to multiply by 6. Your final answer should be 1164.01. This should be correct, please correct me if I’m wrong, thanks.
Find the measure of
angle R.
Answer:
147
Step-by-step explanation:
since it is straight line, subtract 33 from 180 - - > 180 - 33 = 147
graph the function g(x)=2x-5
Answer:
Step-by-step explanation:
ANSWER FAST
k+12>=20, if k=15
Answer:
Thats not true
Step-by-step explanation:
12+15=27
27>20
27 is greater than 20 but your equation doesn't equal 20
What is the measure of BPC?
Answer:
[tex]\angle BPC=100^{\circ}[/tex]
Step-by-step explanation:
Assuming P is the center of the circle:
The angle BPC encompasses arc BC. Notice angle CEB also encompasses this arc and the measure of angle CEB is given as [tex]50^{\circ}[/tex]. The measure of an angle with a point on the circle that encompasses an arc is equal to half of the measure of an angle with a point on the center of circle. Therefore, the measure of arc BPC is equal to [tex]2\cdot50^{\circ}=\boxed{100^{\circ}}[/tex]
Martha recorded the eye colors of the people who have already signed up for a lecture on genetics.
gray 1
brown 10
hazel 1
green 1
blue 7
Considering this data, how many of the next 16 people to sign up should you expect to be brown-eyed?
=====================================================
Explanation:
According to the table, 10 people have brown eyes. This is out of 1+10+1+1+7 = 20 people total. So 10/20 = 0.50 = 50% of the group has brown eyes.
If this trend holds up, then we expect 50% of the next group of 16 people also have brown eyes.
50% of 16 = 0.50*16 = 8
We expect 8 people to have brown eyes in this next group. This is of course assuming that the first group is unbiased and represents the population (or is close enough).
The table represents a proportional relationship. Complete the table and write an equation that describes the relationship
Answer:
Which table?
There's non
The density of a solid bar is 25 pounds per cubic foot. If the bar has a volume of 5.2 cubic feet, what is the weight of the bar?
Answer:
Step-by-step explanation
Goodbye