Answer:
Step-by-step explanation:
The sequence you gave is not arithmetic. I'm assuming the sequence is
21, 6, -9, -24.
d is the common difference between adjacent terms.
a₂ = a₁ + d
6 = 21 + d
d = -15
nth term = a₁ + (n-1)d = 21 - (n-1)15
Which of the given numbers is not a Pythagorean triplets. *
1 point
8,15,17
9,40,41
4,7,8
Step-by-step explanation:
By Pythagoras' Theorem,
[tex] {c}^{2} = {a}^{2} + {b}^{2} [/tex]
where c is always the largest number.
a and b can be interchangeable between the 2nd largest and the 3rd largest numbers.
Given a = 8, b = 15 and c = 17,
[tex] {a}^{2} + b {}^{2} = {8}^{2} + {15}^{2} \\ = 64 + 225 \\ = 289 \\ \\ {c}^{2} = {17}^{2} \\ = 289[/tex]
Since c^2 = a^2 + b^2 , 8 , 15 and 17 are pythagorean triplets.
Now let's move on to 9, 40 and 41.
[tex] {a}^{2} + {b}^{2} = {9}^{2} + {40}^{2} \\ = 81 + 1600 \\ = 1681 \\ \\ {c}^{2} = {41}^{2} \\ = 1681[/tex]
Since c^2 = a^2 + b^2 , 9 , 40 and 41 are pythagorean triplets.
Last let's move on to 4,7 and 8.
[tex] {a}^{2} + {b}^{2} = {4}^{2} + {7}^{2} \\ = 16 + 49 \\ = 65 \\ \\ {c}^{2} = {8}^{2} \\ = 64 [/tex]
Since a^2+b^2 IS NOT EQUAL to c^2, 4,7 and 8 ARE NOT pythagorean triplets.
1. Solve the following system of equations. (Hint: Use the quadratic formula.)
f(x) = 2x^2-3x-10
g(x) = -3x^2+20
Answer:
[tex]f(x)=\frac{3+\sqrt{89} }{4} or \frac{3-\sqrt{89} }{4}\\g(x) = \frac{2\sqrt{15} }{3} or -\frac{2\sqrt{15} }{3}[/tex]
Step-by-step explanation:
f(x):
a=2 b=-3 c=-10
g(x):
a=-3 b=0 c=20
SOMEONE HELP ME PLEASE:(
Answer:
i dont know
Step-by-step explanation:
SA = (5 × 4) + (5 × 12) + (4 × 12)
= 20 + 60 + 48
= 128
User: Jaylian.)
Learning farm
Daily PSSA prep 4/30 Friday
Question 8 of 15
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Question: Last year, 7,000 people registered to go to a comic book convention. This year, the
number of people who registered increased by 5%. How many people registered for
this year's convention?
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3
4.
5
6
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8
9
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11
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Save/End
Next
Copy: 2020
Answer:
7350
Step-by-step explanation:
I hope this helps.
if you help me you are a sweet sweet sweet angel
Answer:
the last option
option four or D
Step-by-step explanation:
have a great day :)
I need help on this!!
Answer:
C and A
Step-by-step explanation:
Part 1.
The area of a trapezoid is base 1 + base 2 divided by 2 times height.
Base 1 is 38, base 2 is 14, and the height is 16.
38 + 14 = 52, 52 / 2 = 26, and 26 x 16 = 416.
The answer is C, 416.
Part 2.
The area of a kite is diagonal 1 times diagonal 2 divided by 2. The length of diagonal 1 is 12 (on the left) + 12 (on the right) = 24. The length of diagonal 2 is 10 (on the top) + 18 (on the bottom) = 28.
28 x 24 / 2 = 336.
The answer is A, 336
Answer:
336
Step-by-step explanation:
In the figure, there are four triangles
Total Area = sum of four triangles areas
0.5(12*18)*2+0.5(12*10)*2=336
Answer please 10 points
Answer:
3/4 to 9/6
Step-by-step explanation:
in the dark forest a rare species of spiders called Acromantula is doubling every 4 years. there are currently 50 spiders, how many spiders will be in the forest after 20 years?
Answer:
1600. Because 20/4is 5 so there is 5time doubling so
first time 50 to 100
second time 100 to 200
third 200to400
fourth 400to 800
fifth 800to 1600.
In 20 years the number of Acromantula will be 1600 if the number of Acromantula is doubling in every 4 years.
What is unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given, the number of Acromantula doubles in every 4 years.
Also given that, There are 50 Acromantula in the forest.
In 4 years, the number of Acromantula wil be double of 50 i.e., 100
In 8 years, the number of Acromantula will be double of 100 i.e., 200
In 12 years, the number of Acromantula will be double of 200 i.e., 400
In 16 years, the number of Acromantula will be double of 400 i.e., 800
In 20 years, the number of Acromantula will be double of 800 i.e., 1600
Hence, In 20 years the number of Acromantula will be 1600
To learn more about unitary method click here:
https://brainly.com/question/23217284
#SPJ2
A blueprint of a room is drawn to a scale of 2 inches = 7 feet. The actual length of one wall is 56 feet.
What is the length of this wall on the blueprint?
Answer:
16 inches I think?
Step-by-step explanation:
56*7=8
8*2=16
I apologise if I'm wrong
Ms. Clark earned $32,550in her third year as a banker and $34,150in her seventh year. How much did she make in her tenth year? Assume that her yearly salaries form an arithmetic sequence.a.$31,750b.$35,350c.$29,000d.$26,440
Answer:35350
Step-by-step explanation:
its easy 32,550 - 34,150 it gives 1600 then divide by for because it id 4 years from 3 to 7 you get 400 thats your yearly raise then multiply by 3 because 7 to 10 is 3 years you get 1200 add ton 34150 and you get 35350
Find the length of the arc
in terms of pi.
Half the circle is 20 radius the other half is 180 degrees. Find AB?pi
Answer:
10π
Step-by-step explanation:
Length for arc = θ/360 × πd
Where,
θ = 180°
d = 20
Length of the given arc = 180/360 × π × 20.
= 10π
|6m-54|, if m<9 PLZ HELP
What is the missing step in this proof? look at picture
Answer:
The missing step in that proof is E
the length of a Ribbon is 11.55 metre if it is cut into pieces and divided equally among 7 Girls how much ribbon will each get find
Answer:
1.65 meters
Step-by-step explanation:
11.55 meters divided by 7 is 1.65 meters
Answer:
1.65 metres per girl
Step-by-step explanation:
Divide 11.55 (length) of ribbon by 7 girls (11.55/7). You get 1.65 metres.
You have $2,000 on a credit card that charges a 17% interest rate. If you want to pay off the credit card in 4 years, how much will you need to pay each month (assuming you don't charge anything new to the card)? Disclaimer: this is treating credit cards as an amortized loan, which they are not.
Answer:
$65?
Step-by-step explanation:
You are a plumber who needs to replace a broken pipe that is 12.5 feet long. You have 2 pipes, A and B, that are
3.75 meters and 4.25 meters long, respectively. A pipe longer than the broken pipe can be cut to fit.
Which pipe can be used to complete the task, and why?
Answer:
the 4.25 m pipe because it is longer than 12.5 feet. The 3.75 m pipe is too short
Step-by-step explanation:
Simplify the expression:
[tex] ({2x + 5y})^{2} - ({3x + 4y})^{2} [/tex]
Step-by-step explanation:
the answer is in the picture
Answer:
3x+18y
Step-by-step explanation:
2x+5y+2x+5y-3x+4y+3x+4y
2x+2x-3x+3x+5y+5y+4y+4y
4x-x+10y+8y
3x+18y
I NEED HELP ON THIS QUESTION PLEASE HELP
Answer:
264
Step-by-step explanation:
A machine can grade 30 tests in 2 minutes. At this rate, how long will it take the machine to grade 135 tests?
8 minutes
9 minutes
10 minutes
12 minutes
A train travels 73 1/3 miles in 3/2 hour. What is its speed in miles per hour?
Speed per hour = distance / time
Speed = 73 1/3 / 3/2
Speed = 220/3 / 3/2
Speed = 220/3 x 2/3
Speed = 440 /9
Speed = 48 8/9 miles per hour.
What is -3v = 15 like I need this answer!!
Answer:
v = -5
Step-by-step explanation:
Answer:
v=-5
Step-by-step explanation:
-3 times -5= 15
Need answer asap, correct answer will get brainliest.
Answer: Second choice
Step-by-step explanation: Think of it as "folded on" x axis insted of "reflected on" to help visualize.
What is the volume of a cube whose one side is 5cm
Answer:
125 cm^3
Step-by-step explanation:
The volume of a cube is given by length*width*height. In a cube, all sides are the same. Therefore, you can put in (5cm)*(5cm)*(5cm) and get 125 cm^3
Complete the Big X by filling in the blank.
Answer:
Blank 1: 3
Blank 2: 6
Step-by-step explanation:
When doing the X method, the numbers on the sides(3 and 6) have to add up to the number on the bottom (9) and multiply to get the number on the top(18)
Someone please please please help me!
One of the screens in a movie theater has 14 seats in the first row, and each row after the first has 3 more seats than the previous row. Nolan says the expression 3n +14 could be used to find A, the number of seats in the nth row of the screen in the theater. Examine Nolan’s explicit expression to explain whether he is correct. If Nolan is not correct, formulate the correct explicit expression.
Answer:
Nolan is right.
Step-by-step explanation:
14 seats initially so thats your starting number, the +14 has to be there. He is right in saying +3n because it adds 3 every succeeding row. It would be 3 ×2 if its the second row, so 6 plus 14 equals 20 for example
If (8, 12) and (3, 4.5) belong to a proportional relationship, what is the constant of
proportionality?
Answer:
1.5
Step-by-step explanation:
k= y/x
y= 12-4.5 = 7.5
x= 8-3 = 5
k = 7.5/5 = 1.5
la división 3028÷25,el cociente es 605 y el residuo es 4 .¿Es cierto?
Respuesta:
Falso
Explicación paso a paso:
Dividiendo 3028 por 25
Usando el método de división larga, pudimos ver en la imagen adjunta, que dividir 3028 entre 25 da un cociente de 121 y un resto de 3.
Count the units from (2,4) to (-2,-6).How many blocks are between Jenna’s apartment and Zac’s house
Answer:
Distance = 10.77 unit (Approx.
Step-by-step explanation:
Given:
Coordinate of Jenna's house = (2,4)
Coordinate of Zac's house = (-2,-6)
Find:
Distance
Computation:
Distance = √(X1 - X2)² + (Y1 - Y2)²
Distance = √(2 + 2)² + (4 + 6)²
Distance = √(2 + 2)² + (10)²
Distance = √16 + 100
Distance = √116
Distance = 10.77 unit (Approx.
using the equation G = 10-1.25t. What is the x-intercept of the equation and what is its interpretation in the context of the problem?
Answer:
the x axis is 10, its interpretation is actually G, so on a graph instead of X and Y you would have G and T
Simplify 4/(√5+ √2) - 3/(√5- √2)
Step-by-step explanation:
[tex] \frac{4}{ \sqrt{5} + \sqrt{2}} - \frac{3}{ \sqrt{5} - \sqrt{2} } = \\ = \frac{4( \sqrt{5} - \sqrt{2} ) - 3( \sqrt{5} + \sqrt{2} ) }{( \sqrt{5} + \sqrt{2} )\times ( \sqrt{5} - \sqrt{2} )} = \\ = \frac{4 \sqrt{5} - 4 \sqrt{2} - 3 \sqrt{5} - 3 \sqrt{2} }{5 - \sqrt{10} + \sqrt{10} - 2 } = \\ = \frac{ \sqrt{5} - 7 \sqrt{2} }{3} [/tex]