Answer:
A(n) = 4 + 8(n-1)
Step-by-step explanation:
A(n) = A(n-1) + 8
A(1) = 4
So A(2) = A(1) + 8 = 4 + 8
A(3) = A(2) + 8 = A(1) + 8 + 8 = 4 + 8 + 8
A(n) = 4 + 8(n-1)
The explicit formula for the arithmetic sequence with the given recursive formula A(n) = A(n-1) + 8 and the first term A(1) = 4 is A(n) = 8n - 4.
Given that the first term (A(1)) is 4, we can observe that each subsequent term is obtained by adding 8 to the previous term.
The general formula for an arithmetic sequence is A(n) = A(1) + (n-1)d, where A(n) represents the nth term, A(1) is the first term, n is the term number, and d is the common difference.
The first term (A(1)) is 4, and the common difference (d) is 8.
Plugging these values into the general formula, we have:
A(n) = 4 + (n-1)×8
A(n) = 4 + 8n - 8
A(n) = 8n - 4
To learn more on Sequence click:
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Joseph's lunch at a restaurant costs $13.00 without tax. He leaves the waiter a tip of 17% of the cost of the lunch, without tax. What is the total cost of the lunch, including the tip
Answer:
The total cost of the lunch including the tip is $15.21.
Step-by-step explanation:
To find the total cost of the lunch including the tip, first, you need to calculate 17% of the price of the lunch as the statement indicates that that is the tip Joseph leaves the waiter:
$13*17%=$2.21
Now, you need to add that amount to the price of the lunch:
$13+$2.21=$15.21
According to this, the answer is that the total cost of the lunch including the tip is $15.21.
5+(x-11)=5x+14
help please
Answer:
x= 2
Step-by-step explanation:
Solve for x in the triangle. Round your answer to the nearest tenth.
What’s the answer to this question??
Answer:
14
Step-by-step explanation:
since this is an iscoseles traingle from the looks from it, then it is the same length as IJ, so 14
School fundraiser Amy sold 28 bags of popcorn and 40 candy bars and made to 282. Sarah sold 17 bags of popcorn 20 candy bars and made 160.50 the cost for a bag of popcorn in
Answer:
cost of popcorn bag is 6.5
Step-by-step explanation:
Here, we want to find the cost of a popcorn bag
let the cost of a bag of popcorn be p
let the cost of a bag of candy bar be c
Mathematically;
28p + 40c = 282
17p + 20c = 160.50
Multiply ii by 2 and subtract from i
28p + 40c = 282
34p + 40c = 321
34p-28p = 321-282
6p = 39
p = 39/6
p = 6.5
If you randomly choose two letters from the word "JANUARY ", find the probability that you choose letter J first and then A after replacing the first. Round answer to nearest tenth and include percent sign. Also, does this represent an independent or dependent scenario?
Answer:
2.0%
Step-by-step explanation:
The probability of two events happening in the sequence is calculated by multiplying the probability of each event happening separately by one another. Since there are a total of 7 letters in this word then the probability of choosing one letter correctly is [tex]\frac{1}{7}[/tex] . Since the first letter is replaced before choosing the second letter the probability remains the same. Therefore, the sequence would be the following...
[tex]\frac{1}{7} * \frac{1}{7}[/tex] = 0.020164 or 2.0%
This is an independent scenario because it does not depend on any external factors and under these circumstances the percentage will remain the same.
t = an + b ( solve for b )
Karen buys a water heater on clearance. It is 65% off the original price. If Karen pays $350, what was the original price?
Answer:
227.5
Step-by-step explanation:
trust meh ._.
We want to solve the following system of equations using the substitution method.
Equation 1 3x-2y=-6
Equation 2 y=-5x-3
First find X by substitution of the variable Y.
step by step answer please
The triangle with vertices at L (-2.5). E (1.4), and D (2.-2) is translated 4 units left, 3 units up, and then reflected over the line y = 4 to form the image AL'E'D'.
Which vertex of the image is the greatest distance from the origin?
L (14,8)
O
L (6.8)
O
D'(-1.6)
O
D'(-2,7)
Answer:
It’s D
Step-by-step explanation:
Which ones make rectangles?
Answer:
b.
Step-by-step explanation:
To figure this out, you just need to fold those nets in your head and see if the edges line up and it forms the figure you want it to. From what I can tell, net b is the only one that would form a rectangular prism.
Tom can inflate 20 basketballs in 16 minutes . He concludes that if the total number of basketballs he can inflate, b, is proportional to the number of minutes
Answer:
Step-by-step explanation:
Step one:
given
we are told that tom can inflate 20 basketballs in 16 minutes
hence in one minute, he can inflate 20/16
= 10/8= 5/4 basketballs per minute
the rate at which he inflate the ball is 5/4 ball per minute.
The total number b is proportional to the number of minute
[tex]b\alpha t[/tex]
A restaurant has 9 3/5 pounds of onions. The restaurant's manager ordered 4 4/5 more pounds of onions. The onions then were mixed and kept in 2 baskets with each basket having equal pounds on onions. How many pounds of onions does each basket contain?
Answer:
7 1/5 pounds in each basket
Step-by-step explanation:
Original pounds of onion = 9 3/5
New pounds of onion = 4 4/5
The onions then were mixed and kept in 2 baskets with each basket having equal pounds on onions
Total onions = Original pounds of onion + New pounds of onion
= 9 3/5 + 4 4/5
= 48/5 + 24/5
= 48+24/5
= 72 / 5 pounds
How many pounds of onions does each basket contain?
Pounds in each basket = Total pounds /2 basket
= 72/5 ÷ 2
= 72/5 × 1/2
= 72 / 10
= 7 2/10
= 7 1/5 pounds in each basket
Complete the point-slope equation of the line through (-1,-10) and (5,2)
y-2=
: ( 3, 10 ) and ( 4, 6 )
Answer:
the slope is M=-4
Step-by-step explanation:
Answer:
to find slope you need to
Step-by-step explanation:
first the slope formula
[tex]\frac{y2}{y1}\frac{x2}{x1}[/tex]
then you replace them with the numbers
[tex]\frac{-10-6}{4-3}[/tex]
solve equasion
[tex]-10-6=-16\\4-3=1[/tex]
[tex]\frac{-16}{1}[/tex]
slope=-16
What’s the answer to this pls????????????
Answer:
SAS
Step-by-step explanation:
Answer:
SAS
Step-by-step explanation:
I think it is SAS because it stands for Side-Angle-Side. The segment AD is congruent to itself because of reflexive property, so now you have two sides congruent and one angle congruent.
Will mark brainliest for the first who answers!
Answer:
D.
Step-by-step explanation:
What is the actual slope of a line with the points (2, 8) and (9, 10)?
Answer: in fraction from its 2/7. In decimal form its 0.285714286
Step-by-step explanation: slope= 10-8/9-2
A scientist uses a submarine to study ocean life.
• She begins at sea level, which is at an elevation of o feet
• She travels straight down for 90 seconds at a speed of
3.5 feet per second
• She then travels directly up for 30 seconds at a speed of
2.2 feet per second
After this 120 second period, how much time, in seconds, will it take for the scientist to
travel back to sea level at the submarine's maximum speed of 48 feet per second?
Round your answer to the nearest tenth of a second.
Show your work
Answer:
5.2 seconds
Step-by-step explanation:
Traveling straight down: 90 * 3.5 = 315 feet down
Traveling up: 30 * 2.2= 66
315-66= 249
249/48= 5.1875 seconds
5.2 seconds <- rounded
Find the slope that passes through (4,9) and (6,8)
Answer:
-1/2 or -0.5
Step-by-step explanation:
Y=8-9/6-4
I’ll give 10 points if you help!
Answer:
[tex]\sqrt{50}[/tex] × [tex]3\sqrt{2}[/tex] = 30
C. 30
The basement of a skyscraper is 60 feet below ground. The top of the skyscraper is 1200 feet above ground. What is the distance from the basement of the skyscraper to the top of the skyscraper? Explain your answer.
Answer:
1260
Step-by-step explanation:
-60 to 0 is 60
0 to 1200 is 1200
1200 + 60 = 1260
Answer:
1140
Step-by-step explanation:
awan ko triny ko lang magsagot✌️
Tell whether the two rates form a proportion.
440 calories in 4 servings; 300 calories in 3 servings
Yes
No
(I give out brainly!! :) )
Answer: no
Step-by-step explanation:
un rectangulo tiene 28 cm de perimetro y unos de sus lados mide 4 cm ¿cuantos cuadrados de 2 cm por lado se mecesitan para armar ese rectangulo
Answer:
10 cuadrados
Step-by-step explanation:
Si uno de los lados de rectangulo es de 4cm entonces el lado parallelo tambien es de 4cm. Eso nos da 8cm del perimetro y nos quedan los otros dos lados que tienen la misma medida. Entonces dividimos el resto del perimetro por 2.
28 - 8 = 20cm
20cm / 2cm = 10cm
Ahora que tenemos todas las medidas podemos multiplicar el largo por el ancho para calcular el area del rectangulo
10cm * 4cm = 40[tex]cm^{2}[/tex]
el cuadrado de 2cm tendra un area de
2cm * 2cm = 4[tex]cm^{2}[/tex]
Ahora simplemente dividimos el area del rectangulo por el area del cuadrado para saber cuantos cuadrados necesitamos para armar ese rectangulo
40[tex]cm^{2}[/tex] / 4[tex]cm^{2}[/tex] = 10 cuadrados
A sandwich shop has 60 stores and 60% of the stores are in California. The rest of the stores are in Nevada. How many stores are in California and how many are in Nevada?
Answer:
24 sandwich shops are in Nevada
Step-by-step explanation:
PLS HELP!!! WILL GIVE BRAINLIST!!!!!
Answer:
number 3 maybe . sorry if wrong
Answer:
Slope is 20 and y-intercept is 40.
Step-by-step explanation:
First, let's find slope. I'll be using the points (1,60) and (3,100).
[tex]m=\frac{y2-y1}{x2-x1}=\frac{100-60}{3-1}=\frac{40}{2}=20[/tex]
So the slope is [tex]m=20[/tex]. Now we need to find y-intercept. We can do this by using our slope and a point in the point-slope equation, [tex]y=mx+b[/tex]. I'll use the point (1,60).
[tex]y=mx+b\\60=20(1)+b\\60=20+b\\b=40[/tex]
I hope this helps!
PLEASE HELPPP Divide both sides by 16: 16x/16=20/16
Answer:
x = 5/4
Step-by-step explanation:
16x / 16 = 20 / 16
x = 5/4
Answer:
x = 5/4 or 1.2
Step-by-step explanation:
20/16 can be simplified to a smaller fraction, which is 5/4 because 20 and 16 have a common multiple of 4. 5/4 turned into a decimal is 1.2.
How do I do this? Anyone know please help
A company that makes hair care products at 7000 people trying to shampoo of the 7000 people 28 had a mild allergic reaction what percent of the people had a mild allergic reaction
Answer:
0.4%
Step-by-step explanation:
Given that:
Number of people with mild allergic reaction = 28
Total number of people = 7000
To find:
Percentage of people who have a mild allergic reaction to the shampoo = ?
Solution:
First of all, let us understand how can we calculate percentage of a particular amount.
Percentage of a particular amount can be calculated by dividing the amount with the total amount and then multiplying it with 100.
Percentage of [tex]p[/tex] from [tex]q = \frac{p}q\times 100[/tex]
Here,
[tex]p = 28\\q =7000[/tex]
Therefore, the percentage of people who have mild allergic reaction:
[tex]\dfrac{28}{7000}\times 100\\\Rightarrow \dfrac{2800}{7000} \\\Rightarrow 0.4\%[/tex]
how to rewrite 3/4 with a denominator of 12
Answer:
it would be 9/12
Step-by-step explanation:
if you want to get a denominator of 12 you would have to multiply by 3 from both and you should get 9/12. 3*3=9 and 4*3=12.
Answer:
9/12
Step-by-step explanation:
4x3=12
because we are multiplying the denominator we also have to multiply the numerator by the same number
3x3=9