Answer:
1.25p
p+0.25p
Step-by-step explanation:
h(1)= 9
h(n)=h(n−1)⋅(-3)
Find an explicit formula for h(n).
h(n)= ?
Given:
[tex]h(1)=9[/tex]
[tex]h(n)=h(n-1)\cdot (-3)[/tex]
To find:
The explicit formula for h(n).
Solution:
We have,
[tex]h(n)=h(n-1)\cdot (-3)[/tex] ...(i)
It is the recursive formula of a geometric sequence. It is of the form
[tex]a(n)=a(n-1)\cdot r[/tex] ...(ii)
where r is the common ratio.
On comparing (i) and (ii), we get
[tex]r=-3[/tex]
We have, [tex]h(1)=9[/tex] so the first term of the geometric sequence is [tex]a=9[/tex].
The explicit formula for a geometric sequence is:
[tex]h(n)=ar^{n-1}[/tex]
Substitute a=9 and r=-3 to get the explicit formula for the given sequence.
[tex]h(n)=9(-3)^{n-1}[/tex]
Therefore, the required explicit formula is [tex]h(n)=9(-3)^{n-1}[/tex].
can someone plz help
Answer:
-9.56
Step-by-step explanation:
What Is y=13-x slope and y intercrept
Answer: slope -1; y-intercept is 13, (0,13)
Step-by-step explanation:
We rewrite the function as y = -x + 13
y = mx + b; m is the slope, b is the intercept, by comparison, we found that the slope is -1, and the y-intercept is 13.
what is 10x5/6 pls helppp thank you
Answer:
The answer has many ongoing 3's so just shorten it to
8.3 or 8.33
Solve for equation Y
15x + 10y = 400
Answer:
15x +10y =400
All divide by 5
3x +2y =80
2y=80 - 3x
y=80-3x/2
Write the equation of the line parallel
to y = 4 /5x + 4/5 that passes through the point ( -6,6).
Step-by-step explanation:
Here, slope= 4/5 , As y= mx+c
according to formula, y-y1= m(x-x1)
y-6= 4/5(x+6)
5/4 (y-6)= x+6
5/4y - 15/2= x+6
x- 5/4y + 27/2 =0
Are the following triangles similar? Show all work and/or explanations. If so, state the reason (SSS,SAS,AA)
I want to give away some points so whoever can answer 1+1 your a big brain and deserve the points!
Answer:
2
Step-by-step explanation:
Answer: 2
Step-by-step explanation: 1 2 3 so 1 + 1 is 2
g(x)=-|x| ; find g(-4)
Answer:
-4
Step-by-step explanation:
Plug in -4 for x, so the absolute value of -4 is 4. However, there's a minus sign out in front still, so it gets tacked on to the 4. So, g(-4)=-4
2 (3x - 5) + 4 = -18
Solve for 20 Points
Answer:
x = -2
Step-by-step explanation:
2(3x - 5) + 4 = -18
Distribute the 2
6x - 10 + 4 = -18
6x - 6 = -18
Add 6 to both sides
6x = -12
Divide both sides by 6
x = -2
Check:
2(3x - 5) + 4 = -18
substitute x = -2 into the original equation
2(3(-2) - 5) + 4 = -18
2(-6 - 5) + 4 = -18
2(-11) + 4 = -18
-22 + 4 = -18
-18 = -18
So x = -2 is true.
Answer:
x=-2
Step-by-step explanation:
2(3x-5)+4=-18
We move all terms to the left:
2(3x-5)+4-(-18)=0
We add all the numbers together, and all the variables
2(3x-5)+22=0
We multiply parentheses
6x-10+22=0
We add all the numbers together, and all the variables
6x+12=0
We move all terms containing x to the left, all other terms to the right
6x=-12
x=-12/6
x=-2
12) The angle of depression of a wire attached from the top of a pole to a stake in the ground is 52 degrees If the pole is 62 feet in length, what is the length of the wire to nearest tenth of a foot?
Answer:
Step-by-step explanation:
find the constant proportionality
y= X/6
Nancy needs 4/5 of a foot of ribbon to make a bow and she has 4 feet ribbon how many bows can she make
Answer:
I believe she can make one bow
Step-by-step explanation:
Iso if she has 5 feet of ribbon and only takes four feet of it then that leaves one foot left but if she has a perfect four foot then she can make a ribbon without extra
Question 24 of 25 Use the quadratic formula to find the solutions to the equation. x² – 3x+1=0
A. 3: 115 4
B. 3 + 2/5 2
C. 2 + √24 2
D. 5 + 10 3
The solutions to the given quadratic equation are (3+√5)/2 and (3-√5)/2.
What is the quadratic formula?Quadratic formula is the simplest way to find the roots of a quadratic equation.
The roots of a quadratic equation ax² + bx + c = 0 are given by x = [-b ± √(b² - 4ac)]/2a.
The given quadratic equation is x²-3x+1=0.
By comparing x²-3x+1=0 with ax²+bx+c=0, we get a=1, b=-3 and c=1.
Now, x= [3±√((-3)² - 4×1×1)]/2×1
= [3±√(9-4)]/2
= (3±√5)/2
So, the solutions to the given equation are (3+√5)/2 and (3-√5)/2.
Therefore, the solutions to the equation are (3+√5)/2 and (3-√5)/2.
To learn more about the quadratic formula visit:
https://brainly.com/question/11540485.
#SPJ5
A city that has an elevation of -17 meters is closer to sea level than a city that has an
elevation of -40 meters. Agree or disagree?
Answer:
yes agree
Step-by-step explanation:
because negative 40 is less than negative 17
Find the length of BC.
Answer:
12
Step-by-step explanation:
If the perimeter is 58,
take 17(2) for booth sides.
Which you will get 34.
58-34=24
Now you know that the remainder is the two vertical sides.
24/2=12
BC=12
What is the solution of this system?
8. It takes Emory 3 hours to plant 12 flowers. How long should it take her to plant 40 flowers?
Answer:
9 hours
Step-by-step explanation:
12 times 3 is 40 so 3 times 3 is 9
Answer:
10
Step-by-step explanation:
takes one hour to plant 4
Solve for y. Round to the nearest tenth, if necessary.
9514 1404 393
Answer:
9.9
Step-by-step explanation:
The applicable geometric mean rule tells you ...
y = √(9(9+2)) = √99
y ≈ 9.9
__
Additional comment
In this geometry, the right triangles are similar. Ratios of corresponding sides are equal.
hypotenuse/long side = y/9 = (9+2)/y
y^2 = (9)(11)
y = √99 . . . . as above
The long leg is the geometric mean of the (adjacent) long segment and the full hypotenuse.
Evaluate the following i¹⁹⁸
-1
1
√-1
1i
Answer:
i^198 is -1
hope I helped :)
What is the measurement of angle arc
Answer:
32°
Step-by-step explanation:
90 - 58 = 32
b = 32°
6th grade work fast and easy
Answer: 56 times
Step-by-step explanation:
If his ratio of goals to misses is
6:7
then we must find out how many times he missed seeing he scored 48
so
48:?
to solve find out if 6 goes into 48 and it does 8 times so multiply both sides by 8 to get the new ratio
6*8:7*8
48:56
So the new ratio is 48:56 which also means he missed 56 shots
HELP AS SOON AS YOU CAN PLEASE ILL GIVE BRAINLIEST WHEN I CAN
Answer:
SAS
Step-by-step explanation:
In triangle ABC and triangle EFD
1. BC = CD (S) Given
2. < BCD = < EFD (A) being vertically opposite. angles.
3. AC = CE (S) Given
Hence
By SAS postulate Triangle ABC and triangle EFD are congruent.
HOPE IT HELPS :)❤
determine the missing angle
Answer:
180-77
Step-by-step explanation:
adjacent angles are supp
Answer:
103° | See Attached Image
Step-by-step explanation:
The angle opposite of 77° is vertical (it makes an X, therefore the angles are equal.)
The corresponding angle to the vertical of 77° is also equal to 77°.
X is supplementary to the previously mentioned angle, so it adds up to 180°.
180 - 77 = 103°
1. El perímetro de la figura que se muestra es:
a. 10x2+20y+8
b. 19x2+16y+16
c. 19x2+20y+16
d. 19x2+20y+8
Answer:
I think is C 19x2+20y+16
Angles a and b are complementary angles symmetry of angle a is 28° more than the measure of angle b find the missing angle measures
Answer:
31 , 59
Step-by-step explanation:
a = b +28
a + b = 90 {Complementary}
b + 28 + b = 90 {Combine like terms}
2b + 28 = 90 {Subtract 28 form both sides}
2b = 90 - 28
2b = 62 {Divide both sides by 2}
b = 62/2
b = 31
a = 31 + 28
a = 59
*Giving Brainliest* Tickets for the Valentine Dance cost $3 per person or $5 per couple. If $475 worth of tickets were sold and 180 people attended the dance, how many couples were there?
The expression 0.75 + 0.15c can be used to find Mr. Thompson's cost for making c cookies. How much does it cost mr. Thompson to make 45 cookies?
A portable CD player is on sale.
It is advertised as, “Save $20. You pay
$49.99."
a) What is the regular price?
b) What is the percent decrease?
A group of students are studying two models of solids, liquids, and gases. The students have been given an ice cube that has been dyed blue, and the students are to carefully place the ice cube in a container of room temperature water.Which is the appropriate question to ask prior to the experiment?
A. Will the particles of water lose heat and begin to move faster?
B. Will the particles of ice absorb heat from the water and begin to move faster?
C. Will the particles of ice lose heat to the water and begin to move slower?
D. Will the particles of water gain heat and begin to move faster?
Answer:
B. Will the particles of ice absorb heat from the water and begin to move faster?
Step-by-step explanation: