Answers
Answer:
1.) The 1ˢᵗ three term is (-32), (-7) and 18
2.) The 1ˢᵗ three term is 127, 106 and 85
Step-by-step explanation:
1.)Here,
First Term = a₁ = - 32
Common Difference = (d) = 25
Now, For 1ˢᵗ three term,
n = 1
a₁ = - 32
n = 2
aₙ = a + (n - 1)d
a₂ = (-32) + (2 - 1) × 25
a₂ = (-32) + 1 × 25
a₂ = (-32) + 25
a₂ = -7
n = 3
aₙ = a + (n - 1)d
a₃ = (-32) + (3 - 1) × 25
a₃ = (-32) + 2 × 25
a₃ = (-32) + 50
a₃ = 18
Thus, The 1ˢᵗ three term is (-32), (-7) and 18
2.)Here,
First Term = a₁ = 127
Common Difference = (d) = -21
Now, For 1ˢᵗ three term,
n = 1
a₁ = 127
n = 2
aₙ = a + (n - 1)d
a₂ = 127 + (2 - 1) × (-21)
a₂ = 127 + 1 × (-21)
a₂ = 127 - 21
a₂ = 106
n = 3
aₙ = a + (n - 1)d
a₃ = 127 + (3 - 1) × (-21)
a₃ = 127 + 2 × (-21)
a₃ = 127 - 42
a₃ = 85
Thus, The 1ˢᵗ three term is 127, 106 and 85
-TheUnknownScientist
Related Questions
Help!! I’m stuck and ty ❤️
Answers
Answer:
c
Step-by-step explanation:
Because, all of them are wrong.
Please help!
6. What is the area of the shaded region created by segment BC? work. (Look closely at the picturell The 85° is only labeling the right side of the angle, NOT the whole thing) Show your work
Answers
Answer:
13.88 square cm
Step-by-step explanation:
had it on my test :)
The area of the shaded region created by segment BC is: 13.88 cm²
What is the area of circle circumscribing a triangle?
An imaginary tangent line stretching from the triangle's two sides plus a section of the curve that is tangent to one side create this combination. The formula for the radius of a circle enclosing a triangle is
r = ABC / 4A.
Solution:
area of sector ABC = 85/360 × π × (7.3)² cm²
= 39.53 cm²
area of triangle ABC = 1/2 × 9 × 5.7 cm²
= 25.65 cm²
area of shaded region = area of sectot ABC ₋ area of triangle ABC
= 39.53 ₋ 25.65
= 13.88 cm²
Hence the area of shaded region is 13.88 cm²
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If you know that cosine of the obtuse supplementary angle -0.3456 what can you determine about the acute angle
Answers
Answer:
69.8°
Step-by-step explanation:
Since cosФ = -0.3456
Ф = cos⁻¹(-0.3456)
Ф = 110.2°
Since the angles are supplementary, let the acute angle be x
So, x + 110.2° = 180°
x = 180° - 110.2°
x = 69.8°
The drawing shows a stack of alternating cups. The cups are 9.2 cm high. How many cups will fit in a door that is 211.77 cm high?
Answers
Answer:
The total number of whole cups that we can fit in the dispenser is 25
Step-by-step explanation:
It is given that the height of each cup is 20 cm.
But when we stack them one on top of the other, they only add a height of 0.8 to the stack.
The stack of cups has to be put in a dispenser of height 30 cm.
So we need o find out how many cups can fit in the dispenser.
Since the first cup is 20 cm high, the height cannot be reduced. So the space to fit in the remaining cups in the stack is only 30-20 cm as that’s the remaining space in the dispenser
So,
30 - 20 = 10 cm
To stack the other cups we have 10 cm of height remaining
As we know that addition of each adds 0.8 cm to the stack, the total number of cups that can be fit in the dispenser can be calculated by the following equation. Let the number of cups other than the first cup be denoted by ‘x’.
10 + 0.8x = 30
0.8x = 20
x = 25
The total number of cups that we can fit in dispenser is 25
Ethan Purchased A new cell phone for $75.00. The cost of the phone is included in his first months bill. His cell phone plan charges $0.06 for each minute used. If Ethan has $90.00 to spend on his first month bill, what is the maximum Number of minutes he can use?
Answers
Answer:
he had $90
he bought a phone for $75
90-75=15
he has $15 now
15÷0.06=1500÷6=250 minutes
helppppppppppppppppppp pls
Answers
Answer:
1820
Step-by-step explanation:
Surface area= 2[tex]\pi[/tex][tex]r^{2}[/tex] + 2
2[tex]\pi[/tex] [tex](10)^{2}[/tex] + 2
628 + 1193.2
= 1821.2
r. 2 times what number equals 10? )
Answers
Answer:
5
Step-by-step explanation:
Let the number be x.
2 × x = 10
2x = 10
x = 10 / 2
x = 5
Therefore, the number is 5.
Answer:
5 because it's obvious jwjjejeejjejejdjdnejdudu
Malik got a 200 cafe gift on January 1. He always orders decaf mochas which cost 5 each. At the end of January, maliks gift card has 125 left. Write an equation with x as your variable.
Answers
Answer:
200 - 5x = 125
Step-by-step explanation:
Let the number of orders made by Malik in the month of January = x
Each order costs = $5
Total cost of decaf mochas in one order = $5x
Malik had cake gift on 1st of January = $200
Amount of money left with Malik at the end of January = $125
Therefore, equation representing this situation will be,
200 - 5x = 125
hii! please help asap. i’ll give brainliest
Answers
Answer:
Its the last one letter D.
Answer:
It's D.
Step-by-step explanation:
Hope this helped. :D
HELP ME WITH THIS PLS
ASAP!!
Answers
Answer:
B) y = -5x+4
Step-by-step explanation:
y = mx+b
In this formula, b is the y intercept, in this case 4.
When the y-intercept it positive, it is above the x-axis.
Amal designed a silver necklace pendant in the shape of a cone. The slant height of the cone is 5 millimeters, and the radius of the cone is 3 millimeters.
What is the volume of the silver pendant, rounded to the nearest tenth?
Use 3.14 for π.
Answers
Answer:
37.7 mm³
Step-by-step explanation:
Step 1
We find the height of the cone
we are given slant height = 5mm and radius = 3mm
Height = √l² - r²
Where l = Slant height
Hence
h = √5² - 3²
h = √25 - 9
h = √16
h = 4
Hence, the height of the cone = 4mm
Step 2
We can proceed to calculate the volume of the cone
Volume = 1/3 πr²h
π = 3.14
Hence,
Volume = 1/3 × 3.14 × 3² × 4
= 37.68 mm³
Approximately, Volume of the cone to the nearest tenth = 37.7 mm³
Answer:37.7
mm3
Step-by-step explanation:
Please helpppppppppp
Answers
Answer:
2 7 6
Step-by-step explanation:
What is the difference from 6/12 and 9/18
Answers
Answer:
6/12 - 9/18 = 0
Difference usually means subtract.
Mrs. Roberts sewed m shirts using 2 yards of cloth for each shirt. She also sewed (m+2) dresses, using 5 yards of cloth for each dress. A) How much cloth did she use altogether? Give your answer in terms of m. B) If m= 7, find how much more cloth she used to sew the dresses than the shirts.
Answers
Answer:
7m + 10
31 yards
Step-by-step explanation:
Shirts :
Number of shirts sewed = m
Yards of cloth used per shirt = 2 yards
Number of dresses sewed = m + 2
Yards of cloth used per dress = 5 yards
Cloth used altogether :
Cloths used for shirt = 2 * m = 2m
Cloth used for dress = 5 * (m+2) = 5m + 10
2m + (5m + 10) = 7m + 10
If m = 7
Cloth used for dress - Cloth used for shirt
(5(7) + 10) - (2(7))
(35+10) - 14
45 - 14 = 31 yards
The world's largest pizza is 131 feet in diameter. What is the
area of this gigantic ple?
Answers
Answer:
1,665
Step-by-step explanation:
First find the area of the whole pizza. The diameter is given as 131 feet, so r would be 131/2 = 65.5 feet. I will use 3.14 for PI since the problem doesn't say what value to use. Each slice has an area of about 269.43 square feet and a crust length of 8.23 feet.
In a survey at a shoe store, 200 customers were asked whether they have
running shoes or basketball shoes. The results are in the relative frequency
table.
Total
Have basketball shoes
No basketball shoes
Total
Have running shoes
0.23
0.14
No running shoes
0.31
0.32
What percentage of the people surveyed have basketball shoes?
A. 37%
B. 54%
C. 46%
D. 63%
Answers
Answer:
b. 54%
Step-by-step explanation:
Just took the test
The percentage of people wearing basket ball shoe is,
= 32%
What is Percentage?A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
here, we have,
To Calculate the percent of a number , divide the number by whole number and multiply by 100.
In a shoe store survey there are 200 customers.
Given in the table is that, people using basketball shoes, not using basket shoes and then there is also classification of people using running or non running shoes.
We have been asked what percentage of people have basketball shoes.
People having basket ball shoes = 0.18 × 200 + 0.28 ×200
= 64
Thus, The percentage of people wearing basket ball shoe is,
= 64/200 x 100
= 32 %
Hence, The percentage of people wearing basket ball shoe is,
= 32%
Learn more about the percent visit:
brainly.com/question/24877689
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20-9x+4y+7-x
Need help
Answers
Answer:
[tex]-10x + 4 y + 27[/tex]
Step-by-step explanation:
Answer: -10x+4y+27
Step-by-step explanation: first, combine the like terms
20 + 7= 27
-9x-x=-10x
4y stays the same so, if simplified this equals
-10x+2y+27
It takes a crew 57 hours to install cabinets in one office. How long will it take the crew to install cabinets in 17 offices?
Answers
Answer:
969 hours
Step-by-step explanation:
A wrestling coach is entering his team in a tournament. There is a $75 fee for each team entered, plus a $5 fee for each wrestler entered.
The total cost to enter a team in a wrestling tournament can be represented by the equation f = 5w + 75, where f is the total fee and w is the
number of wrestlers entered.
if the total fee is $135, how many wrestlers does the coach enter in the tournament?
O A 12
OB. 15
OC 27
OD. 42
O E 60
Answers
Answer:
12 wrestlers
Step-by-step explanation:
First you do 135-75=60 to find the cost he payed for just the wrestlers
then each wrestlers cost 5 dollar so you do 60/5 to get a total of 12 wrestlers
Answer:12
Step-by-step explanation:
Can someone help please?????
Answers
John has coins in a jar. Five of the coins are pennies, 8 are dimes, and 3 are
quarters. John randomly selects a coin from the jar and without replacing it
randomly selects another coin. What is the probability that he selects a dime and
then a quarter?
Answers
The probability that he selects a dime and then a quarter without replacement is 1/10
What is probability?Probability is a measure of the likelihood of an event occurring. The probability formula is defined as the possibility of an event happening is equal to the ratio of the number of favorable outcomes and the total number of outcomes. Probability of event to happen P(E) = Number of favorable outcomes/Total Number of outcomes.
Given here: John has 8 dimes 5 pennies and 3 quarters.
Total number of coins that John has is =8+5+3
=16
Thus the probability of picking a dime is P(dime)= 8/16
=1/2
Therefore the conditional probability that John picks a dime and then a quarter is given by
P(dime/quarter)=1/2×3/15 ( As the dime picked is not replaced)
=1/10
Hence, the probability that he selects a dime and then a quarter without replacement is 1/10
Learn more about probability here:
https://brainly.com/question/30034780
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A customer has $10 to insert into a jukebox that plays songs for
$1 each. When a represents whole numbers less than 10, the
function f (x) = 10 - a represents the amount of money remaining
after a songs are played on the jukebox.
What is the value of f (7), in dollars and cents?
$
Answers
Pls answer and no links pls
Answers
Answer:
Step-by-step explanation:
She used 16 pints and i am 100% positive this answer is correct
A box has 3 pencils, 5 pens, and 4 markers. What is the probability of randomly pulling out a marker, then after putting it back your friend
grabbing something that is not a pencil?
Answers
Answer:
1/4 chance of pulling a pencil then 3/4 for ur frend
Answer:
If I remember correctly, possibility is favorable outcome / total possible outcomes.
Step-by-step explanation:
So this means:
Favorable outcomes: 3 (Pencils)
Total possible outcomes: 12 (3 + 5 + 4)
3 / 12 = 0.25
Hope it helps!
(12 points) help pls it’s sue today ;-;
Answers
Answer:
$65
Step-by-step explanation:
x is the number of items sold, and y is the profit, so we need to calculate
y = 35x - 250
where x=9
y = 35*9 - 250 = 315 - 250 = 65
So the total profit is 65 dollars
tom travels at an average speed 36mph for 2 hours 20 min find the total distance tom travels
Answers
Answer:
79.2 miles
Step-by-step explanation:
Please help. I just need to get this done lol.
Answers
Answer:
1/16
Step-by-step explanation:
There are 15 kittens at the animal shelter, and i want to adopt 2 of them. How many different pairs of 2 are there?
Answers
Hope this helped hope you have a good day
!!NEED THIS NOW PLS!!Expand the logarithmic expression
Answers
Answer: B
Step-by-step explanation:
Answer:
b.............. I think
Work out the surface area of this solid prism.
8m
5m
3m
4m