[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
The given sequence is in Arithmetic progression, and we have to find its nth term ~
So, let's get it solved ~
First term of the sequence is :
a = 2Common difference is :
d = 6 - 4 = 4 - 2 = 2Now, if we have to write the 2nd Term with respect to first one, we can write :
2nd Term = a + (2 - 1)d = a + d = 2 + 2 = 4similarly ~
3rd Term = a + (3 - 1)d = a + 2d = 2 + 4 = 64th Term = a + (4 - 1)d = a + 3d = 2 + 6 = 8Therefore, I similar pattern ~
[tex] \qquad \sf \dashrightarrow \: nth \: term = a + (n - 1)d[/tex]
[tex] \qquad \sf \dashrightarrow \: nth \: term = 2 + (n - 1)2[/tex]
[tex] \qquad \sf \dashrightarrow \: nth \: term = 2(1 + (n - 1))[/tex]
[tex] \qquad \sf \dashrightarrow \: nth \: term = 2(1 + n - 1)[/tex]
[tex] \qquad \sf \dashrightarrow \: nth \: term = 2 n [/tex]
Feel free to ask your doubts, if you have any ~
Answer:
2nStep-by-step explanation:
from the number sequence above, each term except the first is generated by adding 2 to the term immediately preceding it.
the nth term of the sequence is usually designated Tn, and it's usually a function of n
from the number sequence
T1= 2
T2 = 2+2= 4
T3= 4+2= 6
T4= 6+2= 8
therefore, Tn= 2+2×(n-1)
= 2+2n-2
=2-2+2n= 2n
therefore, the nth term of the number sequence= 2nGIVING BRAINLIEST!!!!!
What value for c completes the square for the quadratic x2 + 12x + c?
The value for c is 36 which completes the square for the quadratic x² + 12x + c.
What is a quadratic equation?The polynomial having a degree of 2 is termed as the quadratic equation.It means that the equation will have the maximum power of 2.
Here we have the equation
=x²+12x+c
=x^2+12x+36
=x^2+6x+6x+36
=x(x+6)+6(x+6)
=(x+6)(x+6
=(x+6)²
hence value for c is 36 which completes the square for the quadratic x² + 12x + c.
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For each value of v, determine whether it is a solution to -6(v+4)=-6
Answer:
v = -3
General Formulas and Concepts:
Algebra I
Equality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityStep-by-step explanation:
Step 1: Define
Identify given.
-6(v + 4) = -6
Step 2: Solve for v
[Division Property of Equality] Divide -6 on both sides:∴ the value of v is equal to -3.
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Topic: Algebra I
The diagram shows a right-angled triangle.
to
5 cm
11 cm
Find the size of angle x.
Give your answer correct to 1 decimal place.
65.6
First find the hypotenuse:
(hyp)²=(opp)²+(adj)² theo. of pyth.
(hyp)²=(11)²+(5)² subt.
(hyp)²=121+25 calc.
√(hyp)²=√146
hyp=12.08cm
sinx = 11/12.08
x=sin-¹(11/12.08)
x=65.6°
how to find a length with perimeter 400cm and breadth 50cm.
Step-by-step explanation:
Asuming object is a rectangle. We know that to find the perimeter of a rectangle we must add all the sides.
Therefore the formula wound be "b + b + l + l". To simplify this equation we can goup the similar sides as "2b + 2l".
Since we know the perimeter of the rectangle lets equate this simplified formula to 400:
2b + 2l = 400
Now because we know the breath lets replace it with the b position in tge formula.
2(50) + 2l = 400
Now lets use simple algebra to solve.
100 + 2l = 400
2l = 400 - 100
2l = 300
l = 150
Therefore, the lenght is 150cm
Peter was thinking of a number. peter adds 6 to it, then doubles it and gets an answer of 48.5. what was the original numbe
Answer: The original number was 18.25 or 18 1/4
18.25 plus 6 is 24.25
24.25 times 2 is 48.5
Step-by-step explanation:
mark as brilliant answer
Answer:
18.25
Step-by-step explanation:
x = number
add 6: (x+6)
double it : 2(x+6)
result = 48.5
2 (x+6) = 48.5
x+6 = 24.25
x = 18.25
It's a seven grade social studies I know this is math but people aren't active in social studies All I'm trying to ask is how did the issue of slavery cause the Civil War in the election of 1860 the presidential election of 1860
Answer:
The election of 1860 established the Democratic and Republican parties as the majority parties in the United States. It also confirmed deep tensions surrounding slavery and states’ rights between the North and South. Before Lincoln’s inauguration, eleven Southern states seceded from the Union and just after his swearing-in, the Confederate Army fired on Fort Sumter, starting the Civil War.
She is serving hot coffee and cold coffee in two rectangular-shaped tanks, each with dimensions width 8.75 inches, length 8.75 inches, height 23 inches.
The hot coffee has a density of 5.8 oz/in3 and the cold coffee has a density of 3.5 oz/ in3
(A) What is the volume of the coffee in each tank?
Show all math work needed to complete this problem.
(B) What is the mass of the coffee in each the tank?
Show all math work needed to complete this problem.
(C) How many tanks can be placed on a table which can support a maximum weight of 800 lb?
Explain why or why not.
Show all math work needed to complete this problem.
Answer:
Part ADimensions of tank:
width = 8.75 inlength = 8.75 inheight = 23 in⇒ Volume of each tank = width × length × height
= 8.75 × 8.75 × 23
= 1760.9375 in³
Part BGiven:
Hot coffee density = 5.8 oz/in³Cold coffee density = 3.5 oz/in³mass = density × volume
⇒ mass of hot coffee = 5.8 oz/in³ × 1760.9375 in³
= 10213.44 oz (nearest hundredth)
⇒ mass of cold coffee = 3.5 oz/in³ × 1760.9375 in³
= 6163.28 oz (nearest hundredth)
Part CConvert the masses of the tanks from ounces to pounds
1 lb = 16 oz
⇒ mass of hot coffee tank = 10213.44 ÷ 16
= 638.34 lb (nearest hundredth)
⇒ mass of cold coffee tank = 6163.28 ÷ 16
= 385.21 lb (nearest hundredth)
If the table can hold a maximum of 800 lb:
hot coffee: 800 lb ÷ 638.34 lb = 1.25 (nearest hundredth)
cold coffee: 800 lb ÷ 385.21 lb = 2.08 (nearest hundredth)
Therefore, either:
1 tank of hot coffee OR2 tanks of cold coffeecan be placed on a table which can support a maximum weight of 800 lb
A convoy must carry 44 tons of goods. Because there are 3 trucks that are assigned to other jobs, each of the remaining trucks has to carry an additional 1.5 tons. How many cars did the group have at the beginning? (Know that each truck carries the same number of goods).
please help me!!
kyle runs 5 days a week. On Sunday he runs half of his weekly distance. On monday he runs 1/4 of the remaining distance for the week. What fraction of the weekly distance remains to be run?
A. 1/8
B. 1/4
C. 3/8
D. 3/4
Answer:
B. 1/4
Step-by-step explanation:
We can use the distance = rate ⋅ time formula to find the distance Lee traveled. The formula d = rt looks like this when we plug in the numbers from the problem. The unknown distance is represented with the variable d. To find d, all we have to do is multiply 65 and 2.5.
Calculate the missing balances in Jane's check register.
Check # Date Transaction Deposit Withdrawal Balance
341 6/11 dress shop $71 99 $279 66
342 6/15 nail salon $41 50 $
6/20 graduation money $200 00 $
Day 6/11 = $6,920
Day 6/15 = $6,505
Day 6/20 = $6,305
Calculation of missing balancesDay 6/11 Jane deposited=$7,199She withdrew $279 to buy clothes
Therefore her final balance= $6,920
Day 6/15 from her balance, she made her nails in a nail salon for $41 5.Therefore, her balance is
= $6,920 - $415
= $6,505
Day 6/20 Jane withdrew her graduation money at the prize of $200Therefore her balance is
= $6,505 - $200
= $6,305
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(a) The angle pitch of a roof is safest when measuring between 18° – 27°. According to these guidelines, is the roof pictured in the image safe?
(b) What is length of the roof line (segment PR)? Round answer to the nearest tenth of a foot and show all your work.
Find Q
tanQ=Perpendicular/BasetanQ=4/15tanQ=0.26Q=tan^-¹(0.26)Q=14.6°Not safe
Apply Pythagorean theorem
PR²=4²+15²=16+225=241
PR=√241Answer:
a) not safe
b) 15.5 ft (nearest tenth)
Step-by-step explanation:
Part (a)Tan trig ratio
[tex]\sf \tan(\theta)=\dfrac{O}{A}[/tex]
where:
[tex]\theta[/tex] is the angleO is the side opposite the angleA is the side adjacent the angleGiven:
[tex]\theta[/tex] = xO = PV = 4 ftA = RV = VQ = 15 ftSubstituting the given values into the formula and solving for x:
[tex]\implies \sf \tan(x)=\dfrac{4}{15}[/tex]
[tex]\implies \sf x=\tan^{-1}\left(\dfrac{4}{15}\right)[/tex]
[tex]\implies \sf x=14.9^{\circ}\:(nearest\:tenth)[/tex]
As 14.9° is not between 18° and 27°, the roof is not safe.
-------------------------------------------------------------------------------------------------
Part (b)Pythagoras’ Theorem
[tex]\sf a^2+b^2=c^2[/tex]
(where a and b are the legs, and c is the hypotenuse, of a right triangle)
Given:
a = RV = VQ = 15 ftb = PV = 4 ftc = PRSubstituting the given values into the formula and solving for PR:
[tex]\implies \sf 15^2+4^2=PR^2[/tex]
[tex]\implies \sf 225+16=PR^2[/tex]
[tex]\implies \sf PR^2=241[/tex]
[tex]\implies \sf PR=\sqrt{241}[/tex]
[tex]\implies \sf PR=15.5\:ft\:(nearest\:tenth)[/tex]
PLEASE I NEED THIS RN!!!
Answer:
Increasing then decresing
Step-by-step explanation:
the graph is going up then down so therefore it is increasing then decresing.
Answer:
The left side of the parabola is increasing to the maximum, shown on the graph to be (3,6). Then, the right side is decreasing from the max point. The parabola opens down, which means it increases, then decreases.
Step-by-step explanation:
Always decreasing would mean it took a more linear shape, which this parabola is not doing. It is also not always increasing, because some x,y points are graphed on that curve which go from the center (0,0) to (3,6) back down to (6,0).
Figure D
-2
W
jures are congruent?
SA and B
SA and C
A and D
C and D
Answer:
the answer is figure A and C
Hi I need Help* math problem ( i will give brainlist ) Is the following graph linear, exponential or quadratic
Answer:
the answer is exponential
Step-by-step explanation:
Answer:
Hi! My guess would be exponential.
Step-by-step explanation:
stay safe, and I hope I helped I apologize if I am wrong, good luck friends
Complete the equation describing how x
and y are related
Answer:
y = x + -5
Step-by-step explanation:
Solution
To complete the equation, let's take two different points and plug their x- and y-coordinates into the equation. Then, we can solve for the question mark and see if we get the same number. I'll take (1, -4) and (2, -3):
(1, -4):
-4 = 1 + b-4 - 1 = 1 + b - 1b = -5(2, -3):
-3 = 2 + b-3 - 2 = 2 + b - 2b = -5Thus, the equation is y = x + (-5).
The volume of this rectangular prism is 122,264 cubic millimeters. What is the value of z? (will mark brainliest)
Answer:
z = 58 mm
Step-by-step explanation:
Volume of the rectangular prism :
Volume = length x breadth x heightSolving :
122,264 = 62 x z x 34122,264 = 2,108 x zz = 122,264/2,108z = 58 mmAnswer:
z = 58 mm
Step-by-step explanation:
Volume of a rectangular prism: length × width × height
V = L×W×H
v = 122,264 mm³l = 62 mmw = z mmh = 34 mmSubstitute the values above and solve for z:
122,264 = 62 × z × 34
122,264 = 2108z
122,264/2108 = 2108z/2108
58 = z
Final answer: 58 mm
Hope this helps!
The side of a square is a x-3 , Find the area of the square.
Answer:
x^2 -6x + 9
Step-by-step explanation:
(x-3) (x-3) = x^2 - 6x + 9
Find the area of the triangle. area triangle 4
Answer:
12
Step-by-step explanation:
because when u plus 4+4+4 it's 12
A piece of ribbon is 63 inches long. it is cut into pieces that are each 7 inches long. how many pieces of ribbon are there?
Which equation gives the line shown on the graph?
y
y = 22 +4
10
9
8
y = 224
7
6
三一z-4
5
u
3
y= 22 + 4
N
1
O
0 1 2 3 4 5 6 7 8 9 10
Done >
Answer:
6
Step-by-step explanation:
line graph start at 5 equations
hello im having a hard time solving part b can anyone help me?
If you know BN and AN, then you can use the fact that ∆ AQB and ∆ ABN are similar. which gives the relation
BN/BQ = AN/AB = AB/AQ
Now
AN/AB = AB/AQ ⇒ AQ = AB²/AN = 36/AN
and
BN/BQ = AN/AB ⇒ BQ = (BN • AB)/AN = 6 • BN/AN
where AB = 6 because it's the diameter of the circle, and C(O, 3) means the circle has center O and radius 3.
PLEASE HELP, I NEED THE ANSWER BEFORE 3 HOURS 1. In the fraction the 11 represents the? a. Dividend b. Divisor c. Denominator 2. In the decimal number 125.795 the 9 represents the d. Quotient e. Both B & C place.
Answer:
e. Both B & ChundredthsStep-by-step explanation:
Q1
In the fraction 5/11, 11 represents the divisor and the denominator.The correct option is eQ2
In the number 125.795, the 9 represents the hundredths placeAnswer:mbvcdhfguh
Step-by-step explanation:kvghjve5yr
(-3+7i)(1-2i) can you help me with the answer to this
Answer:
11 + 13i
Step-by-step explanation:
A must know is that
[tex] \sqrt{i} = - 1[/tex]
Complex numbers
1st: foil the equations
[tex] - 3(1 - 2i) + 7i(1 - 2i)[/tex]
[tex] - 3 + 6i + 7i- 14 {i}^{2} [/tex]
2nd Combine like terms and substitute
[tex]i ^{2} for \: - 1[/tex]
[tex] - 3 + 14 + 13i[/tex]
[tex]11 + 13i[/tex]
Verify each trigonometric identity
Answer:
hope it helps you.......
can anyone help me with this
Step-by-step explanation:
If 5x - 8 = 12 , then x = 4
5x - 8 = 12
5x = 12 + 8
5x = 20
x = 20/5
x = 4
If -2(3x + 5) = -17 + x , then x = 1
-2(3x + 5) = -17 + x
-6x - 10 = -17 + x
x + 6x = 17 - 10
7x = 7
x = 7/7
x = 1
The figure below is rotated 180° clockwise. What are the coordinates of the image of point A after this transformation?
Answer:
(-2, -1)
Step-by-step explanation:
The easiest way to approach this problem is to think of each quadrant as being 90 degrees. As you can see, each quadrant has a 90 degree angle.
If we were to move 2 quadrants (or 180 degrees) clockwise, we would end up in the third quadrant (- , -)
Because we are moving clockwise on the graph, the shape would also turn clockwise. 180 degrees is the halfway point, so the shape will appear to be upside down.
If you're a visual learner, I'd recommend finding a website with an online graph (something like desmos or geogebra) that would allow you to actually graph the points and change their position with commands.
Hope this helps :)
Terry's Excavation rents bulldozers.
Terry's charges $198.45 per day plus a
$65 delivery and pickup charge. How
much would it cost to rent the bulldozer
for 5 days?
A $1,057.25
B $992.25
C $1,007.50
D $995.20
23/2 as a mixed number
Answer:
11 1/2.
Step-by-step explanation:
23 / 2 = 11 remainder 1.
So it is 11 1/2.
What is the value of x in the triangle?
Answer: [tex]D. 6\sqrt{x} 2[/tex] is the answer
Step-by-step explanation:
