Answer:
[tex]a_n=n+9[/tex][tex]a_9=18[/tex]Step-by-step explanation:
Determining the expression for the sequence:
Given the sequence
10, 11, 12, 13
Here, the first element is:
a₁ = 10
An arithmetic sequence has a constant difference 'd' and is defined by
[tex]a_n=a_1+\left(n-1\right)d[/tex]
computing the differences of all the adjacent terms
[tex]11-10=1,\:\quad \:12-11=1,\:\quad \:13-12=1[/tex]
The difference between all the adjacent terms is the same and equal to
[tex]d=1[/tex]
now substituting d = 1 and a₁ = 10 in the nth term
[tex]a_n=a_1+\left(n-1\right)d[/tex]
[tex]a_n=\left(n-1\right)+10[/tex]
[tex]a_n=n+9[/tex]
Determining the value of the 9th term
Given the nth term
[tex]a_n=n+9[/tex]
substituting n = 9 to determine the 9th term
[tex]a_9=9+9[/tex]
[tex]a_9=18[/tex]
Therefore, the vale of the 9th term is:
[tex]a_9=18[/tex]
.
A shop owner offered a 20% discount off the regular price of a mirror. The amount of the discount is $3
Answer: $15
The original price of the mirror is unknown, so let's call it x.
The discount on the original price is a 20% discount, so it is 20% of x, or 0.2x.
We are told the discount is $3, so 0.2x = 3. Now we solve the equation for x.
0.2x = 3
Divide both sides by 0.2.
x = 3/0.2
x = 15
The regular price is $15.
Step-by-step explanation:
I am thirsty but also thrifty so I want a drink that will quench my thirst and cost the least. Which of the following will quench my thirst and cost the least? Write the unit rate for each.
-A 12oz Pepsi $1.08
-A 20oz coke for $1.20
-A 24oz mountain dew for $1.68
What is the domain of the function graphed?
A){x: x≤4}
B) {x: x≥2}
C) {x: x≤2}
D) all real numbers
Answer:
D) all real numbers
Step-by-step explanation:
PLEASE HELP ASAP I WILL MARK BRAINLIEST IF THERE ARE MULTIPLE ANSWERS!!!!!
Please graph the solution of x+8≥9 and take a picture
Answer:
Attached
Step-by-step explanation:
x+8≥9
x ≥ 9-8
x ≥ 1
picture one is two dimension and picture 2 is number line
PLEASE HELP I WILL GIVE MORE POINTS IF YOURE CORRECT!!!
Solve the system of equations using elimination, or write “no solutions” or “infinite solutions” where applicable
y= 4x+5
Answer:
infinite solutions
Step-by-step explanation:
Find the slope of each line
Answer:
The slope of this line is 4/1 or just 4.
Step-by-step explanation:
In order to get from one red dot to the other, you go up 4 and over 1. The entire line's formula is y=4x-2
When the manager of Fantastic Furniture buys a sofa from a manufacturer, she uses a markup of 45% of her cost to set the selling price of the sofa. What will be the selling price if the manager of Fantastic Furniture buys a sofa for $400? Show your work explain your reasoning.
Answer:
Selling price= $580
Step-by-step explanation:
eGiving the following information:
Buying price= $400
Mark-up percentage= 45% = 0.45
The manager applies a mark-up equivalent to 45% of the buying price. First, we need to determine how much is 45% of the cost.
Mark-up= buying price* Mark-up percentage
Mark-up= 400*0.45
Mark-up= $180
Now, the selling price:
Selling price= 400 + 180
Selling price= $580
A middle school took all of its 6th grade students on a field trip to see a play. The students filled 816 seats, which was 48% of the total number of seats in the theater. How many total seats were in the theater?
Answer:
4900
Step-by-step explanation:
BYHELPINGME
PLEASE HELP ME ITS DUE IN 30 MINS
Step-by-step explanation:
I honestly dont know. Maybe you could try to multiply the numbers on the chart? I hope this helped:)
a clock bought for RS 120 and sold at 20 Percentage
Answer:
Cost price of the cycle = Rs. 1200
Selling price of the cycles = Rs. 1500
SP > CP ⇒ there is a gain.
⇒ Gain = SP - CP = 1500 - 1200 = Rs. 300
∴ Gain Percentage =
CP
Gain
(100)%
=
1200
300
(100)%=25%
∴ The shopkeeper makes a profit of 25%
Price per volleyball if 6 volleyballs cost $18.00? Please I need helpppp
Answer:
The price per volleyball is $3.
Step-by-step explanation:
Divide $18 by 6 for the cost of each volleyball in which your final answer should be $3 per volleyball.
write:
3^-4 in standard form
Answer:
[tex]\frac{1}{81}[/tex]
Step-by-step explanation:
Key skills: Exponents + Fractions
Use the negative exponent property. If your number is x^-y then it would be the same as 1/x^y
3^-4 is the same as [tex]\frac{1}{3^{4}}[/tex]
3^4 is 81, so your answer would be 1/81.
Hope you have a nice day and understood this!
Select all of the following equations the number 30 will make true.
A. 270 ÷ □ = 9
B. 1,200 ÷ □ = 400
C. 9,000 ÷ □ = 300
D. 600 ÷ □ = 200
E. 330 ÷ □ = 110
Solve for x, round to the nearest tenth of a degree (timed help me PLEASE!!!)
Answer:
yo
o.1 like it please o.1
The value of x is 63.435, which is 60 round to the nearest tenth of a degree.
Given:
Height = 40 feet.
Distance =20 feet.
To find the value of x.
sinθ = hypotenuse/opposite.
cosθ = hypotenuse/adjacent.
tan θ = opposite/adjacent.
tan θ = 40/20 = 2
θ = tan ⁻(2) = 63.435
Therefore, 60 for x round to the nearest tenth of a degree.
Learn more about Application of trigonometry here:
https://brainly.com/question/11687813
#SPJ2
(4f-5+2g)-(6g+4)
change to standard form
Answer:
4f-4g-9
Step-by-step explanation:
first I did i put 4f cuz u can't do anything to it so then I subtract 2g-6g you will get -4g and then add -5 +4=-9
hope this helps
2 trains leave from the same point and travel along straight tracks that differ in direction by 72ﾟ. If their speeds are 64 miles per hour and 52 miles per hour approximate how far apart they will be after 30 minutes
Answer:
34.44 miles
Step-by-step explanation:
Distance covered bty the two trains :
Distance = speed * time
Time = 30 minutes = 0.5hr
Distance of train 1 = 64 * 0.5 = 32 miles
Distance of train 2 = 52 * 0.5 = 26 miles
Included Angle = 72°
Using cosine rule :
a² = b² + c² - 2bcCosA
Let Distance between the trains after 30 minutes = a
a^2 = 32^2 + 26^2 - 2(32)(26) * Cos(72)
a^2 = 1700 - 514.20427
a^2 = 1185.7957
a = sqrt(1185.7957)
a = 34.435
a = 34.44 miles
Write the equation of the line in point slope form.
Y+4=-3(x+2)
PLEASE HELP ME WITH THIS ASAP
Answer:
92.736
Step-by-step explanation:
Answer:
92.736 square feet
Step-by-step explanation:
Area is length times width
4.8 x 19.32 = 92.736 Square feet
12d^4/3d^2 shdhshbdbsnsns
Answer:
zip p0quo6or0r7ut t if
Step-by-step explanation:
ye at rdlrj8hj0
Answer:
[tex]4d^{2}[/tex]
Step-by-step explanation:
Divide the numbers like usual:
12/3 = 4
Note that when you divide powers with common base, you are actually subtracting the power:
[tex]\frac{d^{4} }{d^{2} } = d^{4 - 2} = d^{2}[/tex]
Combine the two for your answer:
[tex]4d^{2}[/tex] is your answer.
~
which is larger -1.5 or -3 1/2
Answer:
-1.5
Step-by-step explanation:
Answer:
-1.5
Step-by-step explanation:
sorry if I'm wrong
please any one knows the answer I only have 2 minutes left
What five-letter word becomes shorter when you add two letters to it?
Answer:
short .
short becomes shorter when you add er .
Step-by-step explanation:
Answer:
shorter
Step-by-step explanation:
short
shorter
height versus age domain and range
Answer:
While there is a strong relationship between the two, it would certainly be ridiculous to talk about a tree with a circumference of –3 feet, or a height of 3000 feet. When we identify limitations on the inputs and outputs of a function, we are determining the domain and range of the function.
Step-by-step explanation:
The correct answer is y < 18. Let's pretend a student forgot to flip the symbol and they mistakenly believe the solution set is y > 18. They check 21 since 21 is greater than 18, and they think that y has to be greater than 18. When they do their check, what will the final line of the check say? Is this a true statement?
Answer:
It is wrong
Step-by-step explanation:
y < 18
This is read as y is less than 18. If the students forgot to flip the symbol and mistakenly believe that y > 18.
y > 18
This is read as y is greater than 18.
There is a difference between the numbers greater or less than 18 .
y must have numbers less than 18 and 21 is greater than 18.
Therefore it is wrong.
But to make it true we can multiply minus with the inequality y > 18
-y > -18
This reverses the inequality sign and it becomes
y< 18
The solution which is required.
What is (60 times 8)-5- divided by 2
Answer:
60x8 480 -5 475 divided by 2 is 237.5
Step-by-step explanation:
Answer: 0.234375
Step-by-step explanation:
Conversion a mixed number 2 2/
3
to a improper fraction: 2 2/3 = 2 2/
3
= 2 · 3 + 2/
3
= 6 + 2/
3
= 8/
3
To find new numerator:
a) Multiply the whole number 2 by the denominator 3. Whole number 2 equally 2 * 3/
3
= 6/
3
b) Add the answer from previous step 6 to the numerator 2. New numerator is 6 + 2 = 8
c) Write a previous answer (new numerator 8) over the denominator 3.
Two and two thirds is eight thirds
Divide: 5/
8
: 8/
3
= 5/
8
· 3/
8
= 5 · 3/
8 · 8
= 15/
64
Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 8/
3
is 3/
8
) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the next intermediate step the fraction result cannot be further simplified by canceling.
In words - five eighths divided by eight thirds = fifteen sixty-fourths.
Jack had 3 bags of golf balls with b balls in each bag;
Then his friend gave him 6 more golf balls.
How many golf balls does jack have now?
Write your answer as an expression.
Answer:
number of balls in three bags is 3b, so he has 3b+6 balls now
HELP! i don’t know which one it is
Answer:
40.2
Step-by-step explanation:
Answer:
40.2 yeah
Step-by-step explanation:
Find the area of the shaded sector. Round to the nearest hundredths place.
SR= 26 m
Answer: 315.45 m^2
Step-by-step explanation:
We know that the area of a circle is written as:
A = pi*R^2
Where:
pi = 3.14
R = radius of the circle.
In this case, we know that SR (the diameter) is equal to 26m
And the radius is half of the diameter, then:
R = 26m/2 = 13m
Now, in the image we can see that we have half of the circle shaded, the area of that part will be equal to half the area of a complete circle, then the area of that part is:
A = (1/2)*3.14*(13m)^2 = 265.33 m^2
We also can see that we have a small arc shaded.
The area of a given arc of an angle θ, is given by:
A = (pi*R^2)*(θ/360°)
Now we want to find the angle of this arc, that is the angle:
∠PQ
We know that:
∠SR = 180° (this is a straight line)
∠RQ = 73°
and i assume that:
∠PS = 73°
if we look at the image, we can see that we must have:
∠QR + ∠PQ + ∠SP = ∠SR
73° + ∠PQ + 73° = 180°
∠PQ = 180° - 2*73° = 34°
Then the area of the small arc is:
A' = (3.14*(13m)^2)*(34°/360°) = 50.12 m^2
The total shaded area is equal to the sum of the two areas we calculated, this is:
Total area = A + A' = 265.33 m^2 + 50.12 m^2 = 315.45 m^2
40 POINTS! IF YOU ANSWER CORRECTLY AND BRAINLIEST
The ratio of cows to chickens at Old McDonald’s Farm is 2:7. Select
all the farms that have a greater ratio of cows to chickens than Old
McDonald’s Farm.
1. ed’s Farm: 3 cows for
every 5 chickens
2. Pasture Farm: 2 cows for
every 9 chickens
3.Cluck & Moo Farm: 1 cow
for every 5 chickens
4. C & C Farm: 3 cows for
every 8 chickens
5. Family Farm: 1 cow for
every 3 chickens
btw: I added an extra 50 cause i feel nice today :>
Answer:
2. Pasture Farm : 2 cows for every 9 chickens & 4. C & C Farm: 3 cows for
every 8 chickens.
* Please let me know if this helped you or tell me if one of my answers are wrong .
HELP ASAP
A restaurant did a survey among 100 customers to find their food preferences. The customers were asked about their preferences for
chocolate cake or cheesecake. Out of the total 50 people who liked chocolate cake, 15 also liked cheesecake. There were 25 people who liked
cheesecake
Part A: Summarize the data by writing the values that the letters A to l in the table below represent. (5 points)
Part B: What percentage of the survey respondents did not like either chocolate cake or cheesecake? (3 points)
Part C: Do the survey results reveal a greater dislike for chocolate cake or cheesecake? Justify your answer. (2 points)
A
Like choc cake and cheesecake- 15
Like choc cake no cheesecake- 35
Total- 50
No choc but cheesecake- 25
No choc no cheesecake- 25
Total- 50
Please don’t ignore I really need some help on this
Answer:
38.22
Step-by-step explanation:
Remark
You take the discount first. Most places apply a sales tax only when money changes hands (or it should be that way).
Discount
45.50 * 20/100 = 9.10
45.50 - 9.10 = 36.4
Sales Tax
46.4 * 5/100 = 1.82
Total Cost
Total Cost after the discount = 36.4 + 1.82 = 38.22