Answer:
Step-by-step explanation:
Given the following explicit formula, we are to calculate the first four (4) terms of the sequence.
1) f(n) = 9+8n
When n = 1
f(1) = 9+8(1)
f(1) = 17
when n = 2
f(2) = 9+8(2)
= 9+16
= 25
When n = 3
f(3) = 9+8(3)
f(3) = 33
when n = 4
f(4) = 9+8(4)
= 41
= 25
The first four terms are 17, 25, 33 and 41
2) f(n) = 8(n+1)-13
When n = 1
f(1) = 8(2)-13
f(1) = 3
when n = 2
f(2) = 8(3)-13
= 24-13
= 11
When n = 3
f(3) = 8(4)-13
f(3) = 32-13
= 19
when n = 4
f(4) = 8(5)-13
= 40-13
= 27
The first four terms are 3, 11, 19 and 27
3) f(n) = 65-9n
When n = 1
f(1) = 65-9(1)
f(1) = 56
when n = 2
f(2) = 65-9(2)
= 65-18
= 47
When n = 3
f(3) = 65-9(3)
f(3) = 65-27
= 38
when n = 4
f(4) = 65-9(4)
= 65-36
= 29
The first four terms are 56, 47, 38 and 29
Please help! Correct answer only!
For a fundraiser, there is a raffle with 100 tickets. One ticket will win a $150 prize, and the rest will win nothing. If you have a ticket, what is the expected payoff?
$ ___
Answer:
Expected Payoff ⇒ $ 1.50 ; Type in 1.50
Step-by-step explanation:
Considering that 1 out of the 100 tickets will have a probability of winning a 150 dollar prize, take a proportionality into account;
[tex]100 - Number of Tickets,\\1 - Number of Tickets You Can Enter,\\\\1 / 100 - Probability of Winning,\\$ 150 - Money Won,\\\\Proportionality - 1 / 100 = x / 150, where x - " Expected Payoff "\\\\1 / 100 = x / 150,\\100 * x = 150,\\\\Conclusion ; x = 1.5 dollars[/tex]
Thus, Solution ; Expected Payoff ⇒ $ 1.50
PQ=RQ and PS=RS
What does b=?
[tex]answer \\ b = 15 \\ please \: see \: the \: attached \: picture \: for \: full \: solution \\ hope \: it \: helps[/tex]
The measure of angle b is 15 degrees and this can be determined by using the properties of the isosceles triangle.
Given :
The length of the segment PQ is equal to the length of the segment RQ.The length of the segment PS is equal to the length of the segment RS.The following steps can be used in order to determine the measure of angle b:
Step 1 - According to the given data, it can be concluded that triangle PQR and triangle PSR are isosceles triangles.
Step 2 - Apply the sum of interior angle property on triangle PQR.
[tex]\angle Q + \angle P + \angle R = 180[/tex]
[tex]\angle Q + 2\angle R = 180[/tex]
[tex]2\angle R = 180-60[/tex]
[tex]\angle R = 60^\circ[/tex]
Step 3 - Now, apply the sum of interior angle property on triangle PSR.
[tex]\angle P + \angle S + \angle R = 180[/tex]
[tex]\angle S + 2\angle R = 180[/tex]
[tex]2\angle R = 180-90[/tex]
[tex]\angle R = 45^\circ[/tex]
Step 4 - Now, the measure of angle b is calculated as:
[tex]\angle b = 60-45[/tex]
[tex]\angle b = 15^\circ[/tex]
The measure of angle b is 15 degrees.
For more information, refer to the link given below:
https://brainly.com/question/7915845
the area that lies between Z=-2.61 and Z=0 is
Answer:
2.61
Step-by-step explanation:
To find the amount of space between the two points, subtract -2.61 from 0.
0 - (-2.61) Distribute the negative
0 + 2.61 Add
2.61
A pool in the shape of a rectangular prism holds 648 cubic feet of water. The pool is 4 feet deep and 9 feet wide. What is the length of the pool in feet? *
Answer: The length is 18 feet.
Step-by-step explanation:
4 * 9 * l = 648 where l is the length in feet.
36 * l = 648
36l = 648
l = 18
the base of a pyramid is equilateral triangle of side 8cm long. If the altitude of the pyramid is 15cm ,find it's volume
Answer:
V = 80√3 cm³
Step-by-step explanation:
V = Ab×h/3
Ab = l²√3/4 = 64√3/4 = 16√3 cm²
V = 16√3cm²×15cm/3
= 16√3cm²×5cm
= 80√3 cm³
Answer:
138.56cm2
Step-by-step explanation:
B.a×hx1/3
B.a=1/2×8×8sin60=27.71cm2
1/3×27.71×15=138.56cm2
i know it's a dumb question but please just answer it.
What is 2 x 1/6 =?
Answer:
answer is 0.33333333
Step-by-step explanation:
Answer:
0.33333333333
Step-by-step explanation:
My calculator gave me 1/3 but the real answer is 0.333 etc
different calculators give you different answers
4.
If a pair of shoes is going to be discounted 15%, what decimal can be used as the multiplier to find
the new cost of the shoes?
The decimal value is 0.85 which can be used as the multiplier to find the new cost of the shoes if the pair of shoes is going to be discounted by 15%,
What is the percentage?It is defined as the ratio of two numbers expressed in the fraction of 100 parts. It is the measure to compare two data, the % sign is used to express the percentage.
We have:
If a pair of shoes is going to be discounted by 15%
Let's suppose the original cost is 100%
It has a discount of 15%
So the new cost of the shoes = 100 - 15 = 85%
To convert it to decimal divide it by 100
= 85/100
= 0.85
Thus, the decimal value is 0.85 which can be used as the multiplier to find the new cost of the shoes if the pair of shoes is going to be discounted by 15%,
Learn more about the percentage here:
brainly.com/question/8011401
#SPJ2
AEFG is located at E (0,0), F (-7, 4), and G (0,8). Which statement correctly classifies AEFG?
AEFG is a scalene triangle.
AEFG is an isosceles triangle.
AEFG is an equilateral triangle.
AEFG is a right triangle.
Answer:
ΔEFG is an isosceles triangle
Step-by-step explanation:
Can someone plz help me out! With this problem I really need help ASAP! I will mark you as brainiest! Help help ASAP!
Answer:
[tex]h=\frac{1452}{7\pi }[/tex]
Step-by-step explanation:
[tex]84=\pi \left(\frac{7}{11}\right)^2h\\\mathrm{Switch\:sides}\\\pi \left(\frac{7}{11}\right)^2h=84\\\frac{49\pi }{121}h=84\\[/tex]
[tex]\mathrm{Multiply\:both\:sides\:by\:}121\\121\cdot \frac{49\pi }{121}h=84\cdot \:121\\49\pi h=10164\\\mathrm{Divide\:both\:sides\:by\:}49\pi \\\frac{49\pi h}{49\pi }=\frac{10164}{49\pi }\\h=\frac{1452}{7\pi }\\or\\h=66.0266[/tex]
Answer:
h=66
Step-by-step explanation:
84=22/7 *(7/11)^2*h
84=22/7*49/121*h
84=(22*49/7*121) * h ( we simplify by 7 and 11)
84=2*7/11 *h
84=14/11 *h
84=14h/11
:14
6=h/11
h=6*11
h=66
A bookstore has 60 books about math this is 0.05% of the total number of books on the shelves how many books are there in the bookstore that are not about math
Answer:
119,940 books are not about math.
What I did:
60x2000=120,000
120,000-60=119,940
Answer:
119940
Step-by-step explanation:
.05 % are about math
b= books
b * .05% = 60
Change to decimal form
b * .0005 = 60
Divide each side by .0005
b = 60/.0005
b =120000 books in the store
we want the ones not about math
120000-60
119940
Please help me will mark brainliest
Answer:
-10
Step-by-step explanation:
Which point is between points c and e
Answer:
the answer is D
Step-by-step explanation:
A radio host plans to play one song from each of the three CDs he has by a single artist. The first
song will come from a CD that has 12 songs. The second song will be selected from a CD that
includes 14 songs while the third CD has 13 songs.
Using the Fundamental Counting Principal find the number of possible ways to play the
music.
13 poi
Answer:
2184 ways
Step-by-step explanation:
We need to choose exactly one song from each CD, so the number of possible ways to choose a song from a CD is the number of songs in that CD.
The first song is from a CD with 12 songs, so there are 12 possibilities of choosing a song.
The second song is from a CD with 14 songs, so there are 14 possibilities of choosing a song.
The third song is from a CD with 13 songs, so there are 13 possibilities of choosing a song.
Now, to find the number of possible ways to play these songs, we just need to multiply the number of possibilities for each song:
Number of possible ways = 12 * 14 * 13 = 2184 ways
50 km into centimeter
Answer:
5,000,000 cm
Step-by-step explanation:
1 km=100000cm
we just multiply 50km x 100000,which we get 5 million cm
Answer:
5 000 000 cm
Step-by-step explanation:
1km = 1000 m (meter)
1m = 100 cm
then
1km = 1000×100 cm
= 100 000
then
50km = 50×100 000
= 5 000 000
Find x 4sqrt3 2sqrt3 8 8sqrt3
Answer:
8
Step-by-step explanation:
sin 30° = 1/2
sin is opponent/hypotenuse
so
opp/hyp = 4/x = 1/2
x = 4 * 2 = 8
Answer:
[tex]\displaystyle x=8[/tex]
Step-by-step explanation:
[tex]\displaystyle x=\frac{sin(90) \times 4 }{sin(30)}[/tex]
[tex]\displaystyle x=8[/tex]
A horizontal boxplot is plotted along a horizontal axis marked from 70 to 150, in increments of 5. A left whisker extends from 80 to 90. The box extends from 90 to 115 and is divided into 2 parts by a vertical line segment at 105. The right whisker extends from 115 to 130. All values estimated. A horizontal boxplot is plotted along a horizontal axis marked from 70 to 150, in increments of 5. A left whisker extends from 80 to 90. The box extends from 90 to 115 and is divided into 2 parts by a vertical line segment at 105. The right whisker extends from 115 to 130. All values estimated. The box plot suggests that about 50\%50%50, percent of high schools in Orange County have more than what number of band members? Choose 1 answer:
Answer:
The correct option is;
105 band members
Step-by-step explanation:
The 5 values are
Minimum value = 80
Q₁ = 90
Q₂ = 105
Q₃ = 115
Maximum value = 130
Whereby the horizontal axis indicates the number of band members is a school, while the 5 values of the box plot are the percentiles of the schools in Orange County and also that the lines are graduated in increments of 5, we have that the median = 105 which is the 50% mark, therefore;
50% of high schools in Orange County have more than 105 band members.
Answer:
The answer would be 105
Step-by-step explanation:
I got this right on Khan Academy <33
Can someone explain this to me
Answer:
35°
Step-by-step explanation:
ABC is a equilateral triangle and that means all of its
interior angles have the same measure and = 60°
since angle ACB is 60° the complementary of it would be 120° this is alsıo the measure of angle ACD
The measure of angle CAD is given as 25°
The measure of sum of interior angles in a triangle is equal to 180°
So the missing angle ADC is 35°
I need help really bad plsss
Answer:
0
Step-by-step explanation:
(f-g)(x) = 12-sqrt(x)
plugging in 144, we get 12 - 12 = 0
one could also do f(x)-g(x) which would yield 24-24=0
state what additional information is required in order to know that the triangles are congruent by AAS
Answer:
The last one
Step-by-step explanation:
Since we already know an angle and a safe are equal we just need one more pair of corresponding angles
Answer:
the fourth one.
Step-by-step explanation:
that is angle vut is greater than or equal to angle ktu or angle utv is greater than or equal to angle tuk.
make b the subject of the formula a = sqrt(b+6)
Answer:
a = √(b+ 6)
a² = b + 6 (Square both sides)
b = a² - 6 (subtract 6 from both sides)
Answer:
b = a^2 - 6
Step-by-step explanation:
a = sqrt(b+6)
Find the square of both sides
a^2 = (b+6). Open brackets
a^2 = b+6
Subtract 6 from both sides
a^2 - 6 = b + 6 -6
b = a^2 - 6
Central High School plays Eastern High School in a basketball game. Eastern had double the score of Central before Central scored a three-pointer as the game ended.
The variable, c, represents Central's score before the three-pointer. Express the total points scored in the game as a variable expression. Check all that apply.
2c + c
2c + 3
3c + 3
2c + c – 3
2c – c + 3
2c + c + 3
Answer:
3c + 3
hope this helps.
Answer:
3c + 3
and
2c + c + 3
A student gets 9 out of 15 problems correct on a homework assignment. What percent of the assignment did the student get incorrect? Enter your answer in the box.
Answer:
If he got 9 out of 15 correct, he got 6 problems incorrect.
6/15 is incorrect
6/15 × 100
40 % is your answer
Answer:
40% are incorrect
Step-by-step explanation:
If 9 are correct then 15-9 = 6
6 are incorrect
6/15 = 2/5
Change to a percent
2/5 *20/20 = 40/100
Percent means out of 100
40% are incorrect
A frog has fallen into a pit that is 30m deep. Each day the frog climbs 3m but falls 2m at night. How many days those it takes the frog to escape
Answer:
28 days
Step-by-step explanation:
because the frog climbs 3m in the day, but falls 2m at night, it technically climbs 1m every 24 hours. this means after the 1st day, it will have climbed a total of 1m, on the second, it will have climbed a total of 2m, and so on. however, when it gets nearer to the top, that's when things start to change. after the 26th day, it will have climbed 26m. on the 27th day, it will be 27m, but then when it jumps 3m the next day, it will reach 30m total before it falls during the night and it will be able to get out of the hole.
i hope this helps! :)
f(x) = 4x^2+2x+6 what is the discriminant of f? How many distinct real number zeros does f have?
Answer:
The discriminant of f is 92, and it has no real zeros
Step-by-step explanation:
The discriminant of a quadratic is [tex]b^2-4ac[/tex], where the quadratic is in the form [tex]ax^2+bx+c[/tex]. The discriminant of this one is therefore:
[tex]2^2-4(4)(6)=4-96=-92[/tex]
Since the square root of a negative number is imaginary, this quadratic has no real number zeros. Hope this helps!
if x=-1\3 is a zero of a polynomial p(x)=27xcube -axsquare -x+3 then find the value of a
Answer:
a = 21
Step-by-step explanation:
If x = h is a zero of a polynomial then f(h) = 0, thus
p(- [tex]\frac{1}{3}[/tex] ) = 27( - [tex]\frac{1}{3}[/tex] )³ - a(- [tex]\frac{1}{3}[/tex] ) - (- [tex]\frac{1}{3}[/tex] ) + 3 = 0, that is
27 (- [tex]\frac{1}{27}[/tex] ) - [tex]\frac{1}{9}[/tex] a + [tex]\frac{1}{3}[/tex] + 3 = 0
- 1 - [tex]\frac{1}{9}[/tex] a + [tex]\frac{10}{3}[/tex] = 0 ( multiply through by 9 to clear the fractions )
- 9 - a + 30 = 0
- a + 21 = 0 ( subtract 21 from both sides )
- a = - 21 ( multiply both sides by - 1 )
a = 21
Please help!!!
a boat measures 40m long and 10m wide.
a scale model of the boat measures 50cm long.
what is the scale factor of the model?
Answer:
1 : 80
Step-by-step explanation:
So you want to check Length of model : Length of real boat
50 cm : 40 m
But since the units don't match, make 40 m into 4000 cm
50 cm : 4000 cm
Divide both sides by 50 and you get
1 : 80
Can I please get help with the awnser and explanation?
Answer:
x = 32
y = 16
Step-by-step explanation:
As can be seen in the picture (replace x by z), if the long side length is z√3, the other sides are 2z and z, respectively. (Using z to avoid confusion with your pic).
So z = 16, so x=2z=32, y=x=16
Based on the equation 3x + 8y = 48, what is the missing value in the table?
Answer:
24x
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
I did the edu test hope this helps♡
Find the area and perimeter of a square that has a side length of 4. Remember area is a length times width and perimeter is when you add all the sides together.
Answer:
Area= 16
Perimeter= 16
Answer:
A = l*w
P = 2l + 2w
A = 4*4 = 16
A = area
l = length
l = 4
w = width
w = 4
The area is equal to 16.
P = 2*4 + 2*4 = 16
P = perimeter
2l = 2*length
2l = 2*4
2w = 2*width
2w = 2*4
The perimeter is equal to 16.
It can be concluded both are equal to each other.
Hope this helps
Select the correct answer.
Each statement describes a transformation of the graph of f(x) = x. Which statement correctly describes the graph of g(x) if g(x) = f(x - 11)?
A. It is the graph of f(x) translated 11 units up
B It is the graph of f(x) translated 11 units to the left
C It is the graph of f(x) where the slope is increased by 11
D It is the graph of f(x) translated 11 units to the right
Step-by-step explanation:
I think A
I hope it will help
