If f ( 1 ) = 2 f(1)=2 and f ( n ) = f ( n − 1 ) 2 − 5 f(n)=f(n−1) 2 −5 then find the value of f ( 4 ) f(4).
[tex]f(1) = 2\\f(2)=f(2-1)^2-5=(f(1))^2-5 = 2^2-5 = -1\\f(3) = f(3-1)^2 - 5=f(2)^2-5=(-1)^2-5=-4\\f(4) = f(4-1)^2-5 = f(3)^2-5 = (-4)^2-5 = 11[/tex]
so f(4) = 11
Hope that helps!
Answer:
f(4) = 11
Step-by-step explanation:
Given :
base function ⇒ f(n) = f(n - 1)² - 5f(1) = 2Solving :
f(2) = f(1)² - 5f(2) = 2² - 5 = 4 - 5 = -1f(3) = f(2)² - 5f(3) = (-1)² - 5 = 1 - 5 = -4
f(4) = f(3)² - 5f(4) = (-4)² - 5f(4) = 16 - 5 = 11
Find the m < VXW down below
Answer:
Step-by-step explanation:
Translating a phrase into a two-step expression
Translate this phrase into an algebraic expression.
Two more than the product of 17 and a number
Answer:
(17xa)+2
Step-by-step explanation:
please help. 50 points on the line
Answer:some where from 65-75 feet
Step-by-step explanation:
_ __
0.47 and 0.47 as simplified fractions
Answer:
Here is your answer
Step-by-step explanation:
What is 0.47 as a fraction? 0.47 as a fraction in simplest form is written as 47/100.
A fraction represents a part of a whole, written in the form of p/q where p and q are integers.
Here we will show you how to convert 0.47 decimal number to fraction form and as a mixed number with steps.
0.47 as a simplified fraction
47/100
PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE
Answer:
47/100
Step-by-step explanation:
0.47 as a fraction in simplest form is written as 47/100.
Please mark me Brainliest
The outer angle at the top C of the ABC is 112 °. If the bisector of the side AB intersects the side AC at point Q and the segment BQ is perpendicular to AC, find the magnitude of ABC
Step-by-step explanation:
The outer angle at the top C of the ABC is 112 °. If the bisector of the side AB intersects the side AC at point Q and the segment BQ is perpendicular to AC, find the magnitude of ABC
Jack hit a baseball on 13 out of 30 tries during practice. what is the experimental probability that he will hit the ball on his next trial write your answer as a fraction as a decimal and as a percent
Answer:
Fraction: 13/30
Decimal: 0.43
Percentage: 43%
Please answer everything that at asks in the image above. this is very important and I need help.
Answer:
Step-by-step explanation:
HELP RN IM FAILING PLEASE
Answer:
Top left.
Step-by-step explanation:
Answer: 3x + y = 3
Step-by-step explanation: For a line to be parallel it must have the same slope but a different y intercept. y = mx + b, where M is the slope, and B is the y intercept.
We can solve for y, using 3x + y = 3. Subtracting both sides from 3x, we get y = -3x + 3, which is a different y intercept but the same slope.
Find the values of the variables.
31
W
Х
V
у
68°
Z
Answer:
X=121, y=59, w=59, z=53
Step-by-step explanation:
To find w, we know that the interior angles of a triangle are 180°. Thus ↓
180-31-90=59
For y, we know that y and w are opposite angles. Therefore, y = w = 59.
To find x, we know that there is a one straight line, so therefore we use ↓
180-59=121
Lastly, to find z, we know that the interior angles of a triangle are 180°. Thus ↓
180-59-68=53
I've attached a photo for better understanding. Hope this helps =)
Help me fast please 50 POINTS giving 50 points and brainliest its only 5 questions
Answer:
2x^2+1=5-2x
2x^2+1-5+2x
2x^2-4+2x=0
x^2-2+x=0
x^2+x-2=0
(x+2)(x-1)
x1= -2
x2= 1
Answer:
[tex]2x^2+1=5-2x2x^2+1-5+2x2x^2-4+2x=0x^2-2+x=0x^2+x-2=0(x+2)(x-1)x1= -2x2= 1[/tex]
Step-by-step explanation:
I hope this helps and have a good day!
When given the set of variables, solve for X
Answer: B
Step-by-step explanation:
How do you recognize a geometric sequence? Can you find terms within a geometric sequence using a formula?
Answer:
See step by step explanation
Step-by-step explanation:
To reconize a geometric sequence, the factor at which one number is greater than the previous number should always be the same
For example,
2,4,8,16,32,64,128,256,512,1024 is a geometric sequence since the next number is always greater than the previous number by a factor of 2
to find the n-th term in a sequence, we can use a formula.
Going back to the example, let's label each number with a term
to find the nth term of this specific sequence, we need to find two things
the first number of the sequence, and the factor at which this sequence increases at
the first number is 2, so n1 = 2
each term increases by a factor of 2 (2*2=4, 4*2=8, 8*2=16, 16*2=32, 32*2=64), so the factor is 2
the equation is:
(the initial term)*(the factor)^(the term number - 1)
so,
[tex]2*2^{n-1}[/tex] is our equation
We can check our equation by plugging in a number
looking back at our list, we see that the 7th term is 128
plug in 7 into out equation
[tex]2*2^{7-1}=2*2^6=2^1*2^6=2^7=128[/tex], so our equation works
Here's a practice problem
for the sequence 3,9,27,81,243,729, what is the factor which the sequence increases at? what's the initial number? what's the equation for this sequence?
a harder practice problem:
for the sequence 2,6,18,54,162,486, what is the factor at which the sequence increases at? what's the intitial number? what's the equation for this sequence? what's the 8th term of this sequence if it were to be continued?
Yes we can
the formula given to find the terms is
a_n=ar^n-1Where
a_n is n the terma is first termr is common ration is an positive integerIn circle K with \text{m} \angle JKL= 82^{\circ}m∠JKL=82 ∘ , find the angle measure of minor arc \stackrel{\Large \frown}{JL}. JL⌢ .
Answer:
M< JKL = 82°Solution: UP
The angle measure of the minor arc JL equals 82°.
What is Arc of a Circle?An arc of a circle is defined as the part of the boundary of a circle. The straight line drawn joining the two end points of the arc is called chord of the circle.
If we mark any two points on the circle, by joining those points along the circle, we get two arcs. The smaller arc is called the minor arc and the longer arc is called the major arc. If the length of the arc exactly equals the half length of the circle, then the arc is called semicircular arc.
An arc can be measured in two ways : By finding the measure of the angle of arc and finding the length of the arc.
Here we are asked to find the measure of the minor arc which is the measure of the angle of the arc JL.
Measure of the angle of the arc equals the angle formed at the center of the circle by joining the end points of the arc to the center of the circle.
We have ∠JKL = 82°
∴ measure of arc JL = 82°
Hence, the measure of the minor arc JL equals 82°.
To learn more about Arc of the Circle, click:
https://brainly.com/question/18741430
#SPJ2
pleas help!!! no links! According to the line plot, what is the total distance run by the runners that each ran 1/5 of a mile and 1/2 of a mile?
1 3/10 miles
1 7/10 miles
4 miles
1 1/2 miles
17/10 miles
1/5*1+1/2*3=3/2+14/10=17/10
Answer:
1/5+3/2=2/10+15/10=17/10
I WILL GIVE BRAINLIEST 50 POINTS
Find x. Round your answer to the nearest tenth of a degree.
#b
[tex]\\ \rm\rightarrowtail tan47=\dfrac{b}{21}[/tex]
[tex]\\ \rm\rightarrowtail b=21tan47[/tex]
[tex]\\ \rm\rightarrowtail b=22.5[/tex]
#c
[tex]\\ \rm\rightarrowtail cos47=\dfrac{21}{c}[/tex]
[tex]\\ \rm\rightarrowtail c=21/cos47[/tex]
[tex]\\ \rm\rightarrowtail c=30.88[/tex]
Answer:
c = 30.8 (nearest tenth)
Step-by-step explanation:
Pythagoras' Theorem: a² + b² = c²
(where a and b are the legs, and c is the hypotenuse, of a right triangle)
Given:
a = 21b = 22.5Substitute given values into the formula and solve for c:
⇒ 21² + 22.5² = c²
⇒ 947.25 = c²
⇒ c = ±√(947.25)
⇒ c = ±30.8 (nearest tenth)
As distance is positive, c = 30.8 (nearest tenth) only
find the LCM of denominator 3/8 and 3/4
Answer:
Step-by-step explanation:
Actually, it is 8.
3/8: nothing need be done.
3/4: Multiply top and bottom of the fraction by 2.
3*2 / 4*2 = 6/8
So the lowest common multiple is 8.
The factions become 3/8 and 6/8
Find the median of the data in the box plot below.
dollars
Cost of each lunch for the month (in dollars)
8
9
10
7
4.
5
6
Сл
Report a problem
Stuck? Review related articles/videos or use a hint.
A line passes through the point (4,1) and has a slope of 5/4
Write an equation in slope-intercept form for this line.
Please help
b = 21 feet h = 16 feet Find the area of the triangle. 168 sq. feet 85 sq. feet 100 sq. feet 108 sq. feet
Answer:
168 sq
Np also you could've just searched it up
What is this transformation called?
Answer:
It is translation
the car stays the same when it moves from BLUE to B"L"U"E"
Step-by-step explanation:
if it was a rotation, the car would be upside-down in the final product.
if it was a reflection, the car would also be upside-down.
if it was a dilation the final product would be smaller.
This is how we know is a translation.
Solve for x. Leave your answer in the simplest form.
Image down below!
Please help! Brainlist and points
(I named the empty line y)
y²= 9²+5²
= 81+25
=106
y= V106
y≈10.30
x²= 4²+y²
= 4²+ (V106)²
= 16+106
=122
x≈11.05
SOMEONE PLEASE HELP ME WITH THIS!!
IMAGE DOWN BELOW!!
ILL GIVE YOU BRAINLIST ANSWER!!
Answer:
5.946
Step-by-step explanation:
The pythogorean theorem states that a^2+b^2=c^2.
We are given the hypotenuse, c, and a side length.
3.5^2+b^2=6.9^2
12.25+b^2=47.61
b^2=35.36
b=5.9464...., rounded to 5.946
Pedro’s book weighs 194 pounds. blanca’s book weighs 177 pounds. use estimation to determine about how much more pedro’s book weighs than blanca’s.
(i dont know what you mean by that cause clearly just do 194 - 177 = 17 pounds)
Round 194 pounds to 190 ; 177 to 180
In estimation, Pedro's book weighs 190 - 180 = 10 pounds more.
190 : 180 = 1.06 times more.
Find the length of the third side. If necessary, write in simplest radical form.
IMAGE DOWN BELOW!
SOMEONE PLEASE HELP ME!! ILL GIVE YOU BRAINLIST ANSWER
Answer:
Step-by-step explanation:
6^2+B^2=3^2X5
36+b^2=9x5
b^2=9
b=3
 Find the length of the third side. If necessary, write in simplest radical form.
IMAGE DOWN BELOW!
SOMEONE PLEASE HELP ME!! ILL GIVE YOU BRAINLIST ANSWER
Please answer number 2. I don’t understand I’m very stressed right now I need help please.
Answer:
Smaller
Step-by-step explanation:
Because 7/8 is less than 1 and the sides are smaller which makes the volume smaller
:thumbsup:
Solve the triangle. Round to the nearest tenth.
In AABC, c = 9, b = 25, mZA = 113°
Answer:
28.5
Step-by-step explanation:
If you can add brainliest
Please
Which object would weigh closest to 5 pounds A.Bee B. Flour C.Hat D.Football
I believe the answer is football.
What property is illustrated in the following statement? If DF= FG and FG=GH, then DF=GH. pls help
Answer:
Its a parallelogram
Step-by-step explanation:
Since there are 4 points we know it has to be a 4 sided shape. Since 3 out of the four sides are equal, then we know that this shape has to be a parallelogram so it has at least one pair of parallel lines.