Answer:
4670
Step-by-step explanation:
that is the workings above
If the third term is 8 and eighth term is 143 then the sum of first 20 terms is 4210.
What is arithmetic progression?Arithmetic progression is a sequence in which all the terms have equal differences. Nth term will be a+(n-1)d in which a is first term, d is difference and n is number of term.
How to calculate sum?We have been given that third term is 8 and eight term is 143 and we have to calculate the sum of first 20 terms.
[tex]A_{3}[/tex]=a+(3-1)d
8=a+2d-----1
[tex]A_{8}[/tex]=a+(8-1)d
143=a+7d---2
Subtract equation 1 from equation 2.
a+7d-a-2d=143-8
5d=135
d=27
Put the value of d in equation 1.
a+2d=8
a+2*27=8
a+54=8
a=-46
We know that,
[tex]S_{n}[/tex]=n/2[2a+(n-1)d]
=20/2[2*(-46)+(20-1)*27]
=10(-92+19*27)
=10(-92+513)
=10*421
=4210
Hence if the third term is 8 and eighth term is 143 then the sum of first 20 terms is 4210.
Learn more about arithmetic progression at https://brainly.com/question/6561461
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e these word problems. Check your answers.
A man had paid $175.50 in interest at the end of three years. How much had he borrowed at 9% per year?
(The problem gives you the interest, rate, and time. You need to find the principal.)
Answer:47.38
Step-by-step explanation:175.50/100 x27im not that sure
What is the circumference of a circle with a diameter of 2.9 cm?
Answer:
C≈9.11
Step-by-step explanation:
Determine the scale factor.
NEED HELP ASAP
Answer:
3
Step-by-step explanation:
so you can see it more boldly
explained in the comment thing.
Identify the vertex of the graph tell whatever it is a minimum or maximum
Answer:
There's no Image. I guess you forgot to send.
Zach wants to represent x^6 y^4 as a square. Which expression should he use?
A. (x^2y)^2
B. (x^3y)^2
C. (x^3y^2)^2
D. (x^4y^2) ^2
Answer:
C. ( x ³ y² ) ²
Step-by-step explanation:
➛ x ⁶ y⁴
➛ ( x ³ y² ) ²
Can someone please help me ??
Answer:
D
Step-by-step explanation:
Let w represent the width
Length=18+W
And width=w
So area of a Triangle equals (length times width)divided by two
Area=(18+w)(w)/2
And the area is given to us as 189
180=(18w+w^2)/2
Multiplying both sides by two yields
360=18w+w^2
The subtract 360 from both sides to get
w^2 +18w-360=0
Lou says to his granddaughter Audrey, "Even if you tripled your age and added 9, you still wouldn't be as old as I am.” Lou is 60 years old. Write and solve an inequality to determine the possible ages Audrey could be.
Answer:
3x+9 < 60 where x = Audrey's age
Step-by-step explanation:
Lou says "even if you tripled you age", which means that if Audrey's age is represented by the variable x, then we would multiply it by 3 to get 3x. the next part says "and add 9". We already have the 3x, so we would just tack on a +9 to get 3x + 9. The last part says "you still wouldn't be as old as me." Given that 3x+9 represents Audrey's age, this equation would have to be less than Lou's age, which in this case is 60.
According to the table below, what is the probability that the grade of a student chosen at random will be a B or higher? Grade A B с D F 4 Probability 2 35 3 35 17 35 9 35 35 3 OA. B. 7 Oc. VIN O D. / SUBMIT
Answer:
1 / 7
Step-by-step explanation:
Given the distribution above :
P(grade B or higher) can be defined explicitly as :
P(Grade A) + P(Grade B)
P(grade A) = 2/35
P(Grade B) = 3 / 35
Hence,
P(Grade B or higher) = 2/35 + 3/35 = 5/35 = 1/7
Solve the equation by completing the square. X^2+10x+24=0
Answer:
x = -4
x = -6
Step-by-step explanation:
X^2+10x+24=0
(b/2)^2 = (10/2)^2 = 25
X^2+10x+25=-24+25
(x+5)^2 = 1
(x+5) = ± 1
x = +1 -5 = -4
x = -1 -5 = -6
Maria is planting a row of flowers in a bed 28 feet long. The instructions say to space the plants 1 foot apart, allowing room for 28 flowers. The flowers come in flats containing 6 plants per flat.
How many flats will she need?
How many plants will she have left over?
Answer:
She will need 5 flats.
She will have 2 plants left over.
Step-by-step explanation:
Since she needs 28 flowers and there are 6 flowers in each plant.
To find the number of flats she needs simply divide 28 by 6
=28/6
=4.67
=Rounding off we get 5
Now we know that she need 5 flats so 5 flats will contain 5*6= 30 flowers total.
Since she has space for 28 flowers only the remainder will be;
30-28=2
Therefore she will have 2 plants leftover.
The perimeter of the classroom shown is 6x + 3. Find the length of the missing side.
The perimeter of a regular heptagon is 21m. How long is each side?
5 m.
2 m.
3 m.
4 m.
PLS ANSWER!
I will give Brainlist to whoever answers first.
Answer:
The perimeter of a regular heptagon is 21m. Each side is 3 m long.
Step-by-step explanation:
in the given heptagon,
perimeter(p)=21m
length(l)=?
We know that,
HEPTAGON HAS 7 SIDE
So that,
length=21/7
=3m#
Find the inverse of the given function
f(x)=4x-12
The width of a rectangle is 5 ft less than the length. The area of the rectangle is 234f * t ^ 2 Find the length Land width W of the rectangle: L = W =
Answer:18x13
Step-by-step explanation:
6x1=6 7x2=14 keep going up staying 5 less than or more than it doesn't matter cause its the same when dealing with just two exponents. When you get to 18x13 you get 234.
What is the answer
If post are space 5 feet apart and how many posts are needed for 60 feet of straight line fence
Answer:
12 posts are needed
Step-by-step explanation:
60 divided by 5 is 12
Sequences and Series precalc multiple choice, will give brainliest.
9514 1404 393
Answer:
False
Step-by-step explanation:
The given formula is the "explicit" formula for the sequence.
The recursive formula would be ...
a[1] = 160
a[n] = 1/2·a[n-1] . . . . each term expressed in as a function of previous terms
The given statement is false.
If 5 times a number increased by 30 is 15, what is the number?
Answer:
let x=the number
5x+30=15
5x=15-30
5x=-15
5x/5=-15/5
x=-3
Let's keep the,
Value of unknown number as y.
Then find the y,
→ 5y + 30 = 15
→ 5y = 15 - 30
→ 5y = -15
→ y = -15/5
→ [y = -3]
Therefore, -3 is the number.
Peter and his four brothers combined all of their money to buy a video game. If 25% of the total money is Peter's, and $10.00 of the total money is Peter's, how much do all five brothers have combined?
A.
$2.50
B.
$50.00
C.
$30.00
D.
$40.00
Answer:
t represents the total amount
0.25t = 10.00
Can you solve for t and answer?
Or logically
Peter's 10.00 is 1/4 (25%) of the total.
Therefore 4/4 is $40.00
Step-by-step explanation:
Please mark brainliest
Helppppppppppppppppp
A tree is 8 feet and 11 inches tall.
How tall is the tree in meters?
Round to 2 decimal places if necessary.
Round to 2 decimals if necessary.
Answer:
2.72 meters
Hope that this helps!
The table of values shows the number of touchdown passes that a quarterback threw in each of his first five football games of the season.
Game vs. Touchdown Passes
Game
Touchdown passes
1
3
2
1
3
3
4
2
5
3
Which would be a point on the scatterplot that represents touchdown passes based on these games played?
(1, 2)
(2, 4)
(3, 1)
(5, 3)
Answer:
D
Step-by-step explanation:
If x is the game number, and y is the amount of touchdown passes for that specific game number, then (5,3) represents the idea that the quarter back threw y = 3 touchdown passes for game number x = 5
So the answer is choice D. This is the only ordered pair that comes from the given table. Something like (2,4) isn't true because the quarterback threw 1 touchdown pass (not 4) in game two.
Answer:D
Step-by-step explanation:
Sixty percent of all children in a school do not have cavities. The probability, rounded to four decimal places, that in a random sample of 9 children selected from this school, at least 6 do not have cavities is:
Answer:
Probability[Number of 6 random sample do not have cavities] = 0.8
Step-by-step explanation:
Given:
Number of student do not have cavities = 60%
Number of random sample = 9 children
Find:
Probability[Number of 6 random sample do not have cavities]
Computation:
n = 9
p = 60% = 0.6
P(At least 6)
Probability[Number of 6 random sample do not have cavities] = 1 - P(Less than 6)
Probability[Number of 6 random sample do not have cavities] = 1 - P(Less than or equal to 6)
Probability[Number of 6 random sample do not have cavities] = 0.8
The probability of 9 children selected from this school, at least 6 do not have cavities is 0.80.
What is probability?Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.
Sixty percent of all children in a school do not have cavities.
The probability, rounded to four decimal places, that in a random sample of 9 children selected from this school, at least 6 do not have cavities will be
n = 9
p = 0.60
Then we have
[tex]\rm P = 1 - P(less \ than \ or \ equal \ 6)\\\\P = 0.8[/tex]
More about the probability link is given below.
https://brainly.com/question/795909
Evaluate the expression for a = 3 b = 4 c = 6
a³ - ( b + c ) =
[tex]\boxed{17}[/tex] ✅
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
Substituting the values of a, b and c in the expression, we have
[tex] {a}^{3} - (b + c) \\ = ( {3})^{3} - (4 + 6) \\ = (3 \times 3 \times 3) - (10) \\ = 27 - 10 \\ = 17[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]
Answer:
17 ( See image below:)
Step-by-step explanation:
you substitute what a is which is 3
then b=4
then c=6
so
3^3-(4+6)
Can I have help I am stuck on this problem It would mean the world if u helped me and tysm!! =-)
2+3=????????????????????????
Helppp ASAAPPPP WILL MARK AS BRAINLIST
Suppose you like to keep a jar of change on your desk. Currently, the jar contains the following: 17 Pennies 10 Dimes 19 Nickels 23 Quarters What is the probability that you reach into the jar and randomly grab a nickel and then, without replacement, a penny
Answer:
0.0688 = 6.88% probability that you reach into the jar and randomly grab a nickel and then, without replacement, a penny.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
Probability of grabbing a nickel:
19 nickels out of 17+10+19+23 = 69 coins, so:
[tex]P(A) = \frac{19}{69}[/tex]
Probability of grabbing a penny, considering the first coin grabbed was a nickel:
17 pennies out of 68 coins. So
[tex]P(B|A) = \frac{17}{68} = \frac{1}{4}[/tex]
What is the probability that you reach into the jar and randomly grab a nickel and then, without replacement, a penny?
[tex]P(A \cap B) = P(A)P(B|A) = \frac{19}{69} \times \frac{1}{4} = \frac{19}{69*4} = 0.0688[/tex]
0.0688 = 6.88% probability that you reach into the jar and randomly grab a nickel and then, without replacement, a penny.
Prove that: log b (p2 - q2) – log b (p + q) = log b (p – q)
Answer:
Step-by-step explanation:
The formulas used to solve :
[tex][ log_b(\frac{x}{y}) = log_bx - log_by][/tex]
[tex](p^2 - q^2) = (p+q)(p-q)[/tex]
[tex]log_b(p^2 - q^2) - log _b(p + q) = log_b(p-q)\\\\log_b(\frac{(p^2 -q^2)}{(p+q)}) = log_b(p-q)\\\\log_b(\frac{(p+q)(p-q)}{(p+q)}) = log_b(p-q)\\\\log_b(p-q) = log_b(p-q)\\\\[/tex]
Hence proved.
I neeeeeeeeeeeeeed help
9514 1404 393
Answer:
14 +2i
Step-by-step explanation:
For this sort of problem, you can treat i as though it were a variable. Combine like terms.
(8 -7i) +(6 +9i) = (8 +6) +(-7 +9)i
= 14 +2i