Answers
Answer:
Step-by-step explanation:
a) [tex]t_{n}[/tex] = 2n - 3
[tex]t_{1}=2*1-3 = 2-3=-1\\\\t_{2}=2*2-3=4-3=1\\\\t_{3}=2*3-3=6-3=3\\\\t_{4}=2*4-3=8-3=5\\\\S_{4}=t_{1}+t_{2}+t_{3}+t_{4}\\\\= -1 + 1 + 3 + 5 \\\\= 8[/tex]
d)
[tex]t_{n}=\frac{2n-1}{2n+1}\\\\\\t_{1}=\frac{2-1}{2+1}=\frac{1}{3}\\\\t_{2}=\frac{4-1}{4+1}=\frac{3}{5}\\\\t_{3}=\frac{6-1}{6+1}=\frac{5}{7}\\\\t_{4}=\frac{8-1}{8+1}=\frac{7}{9}\\\\[/tex]
[tex]S_{n}=\frac{n}{2}(a+l)\\\\S_{4}=\frac{4}{2}(\frac{1}{3}+\frac{7}{9})\\\\=2*(\frac{1*3}{3*3}+\frac{7}{9})\\\\=2*(\frac{3}{9}+\frac{7}{9})\\\\=2*\frac{10}{9}\\\\=\frac{20}{9}[/tex]
Related Questions
Consider triangle GHJ in the figure below.
please help :)
Answers
Answer:
The picture isnt really showing for me
Step-by-step explanation:
It's either me or the picture.
please find y and round to the nearest 10th
Answers
Answer:
178.3 ft
Step-by-step explanation:
Since you have the angle 27 and the side length of 350 you can set up a proportion that is Tan(27)=y/350. You can solve from this to 350*tan(27)=y and then simplify to 178.3.
Answer:
y =178.3
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp /adj
tan 27 = y/350
350 tan 27 = y
178.3339073=y
Round to the nearest tenth
y =178.3
Help needed ! Asap rocky! U hurddd mamahuevo
Answers
Answer:
Step-by-step explanation:
Hello!
x < -45/15
=>
{xIx<-3}
47. The legs of a triangle measure 7 mm and 24 mm. What length hypotenuse makes the triangle a right triangle?
A. 23 cm
B. 25 cm
C. 161 cm
D. 289 cm
Answers
Answer:
B
Step-by-step explanation:
according to pythagorean
[tex]7^{2} + 24^{2} =x^{2}[/tex] (x>0)
=> [tex]x^{2} =625[/tex]
=>[tex]x=\sqrt{625}[/tex] = 25
"A parabola has the equation y=3x^2+ 6x- 12 . What are the coordinates of the vertex? (You must solve by factoring)!!!!!" I NEED THE ANSWER TO THIS FAST WITH STEPS I'm a grade 10 academic student by the way
Answers
y = 3x ^ 2 + 6x- 12
(a=3; b=6; c= -12)
• Ta có Δ=b^2 -4ac
= 6^2 -4*3*( -12)
=180
• X= (-b+√Δ)/2a
≈ 3.2
• X= (-b-√Δ)/2a
≈ -3.2
Khi đó: y= 948/25
Và: y= -12/25
Vậy : A(3.2: 948/25)
B(-3.2; -12/25)
Step-by-step explanat bion :
1. Find the ratio of of 25cm and 1m .
2. Find the product of (a + 4)(a − 4).
Answers
Answer:
1..
solution....
here given
25cm
1m=100cm
now,
25/100=1/4
1:4
2....
(a+4)(a-4)
a^2-4^2
a^2-16
Step-by-step explanation:
hope it will help you
PLS HELP ASAP
What are the possible rational zeros of f(x) = x4 + 2x3 − 3x2 − 4x − 12?
Answers
The figure below is a square. Find the length
rational denominator.
side x in simplest radical form with a
Answer: 2
Submit Answer
Plsssss help
Answers
Answer:
x=1/sqrt(2) or sqrt(2)/2
Step-by-step explanation:
Since it's a square, the diagonal is equal to the side*sqrt(2). So 1=x*sqrt(2), x=sqrt(2)/2 or just simply 1/sqrt(2).
Find the slope of the line through each pair of points (11, 18) (20, 12)
Answers
Answer:
2/3
Step-by-step explanation:
We can find the slope by using the slope formula
m = ( y2-y1)/(x2-x1)
= ( 12-18)/(20 -11)
= -6/-9
= 2/3
Find the distance between K(9, 2) and L(-3, 9) to the nearest tenth
Answers
Answer:
≈ 13.9
Step-by-step explanation:
Calculate the distance d using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = K(9, 2) and (x₂, y₂ ) = L(- 3, 9)
d = [tex]\sqrt{(-3-9)^2+(9-2)^2}[/tex]
= [tex]\sqrt{(-12)^2+7^2}[/tex]
= [tex]\sqrt{144+49}[/tex]
= [tex]\sqrt{193}[/tex]
≈ 13.9 ( to the nearest tenth )
d=√(193)
Step-by-step explanation:
d=√((x_2-x_1)²+(y_2-y_1)²)
Points: (9, 2) & (-3, 9)
d=√((-3 - 9)²+(9 - 2)²)
d=√((-12)²+(7)²)
d=√(144)+(49)
d=√(193)
200 students in a class took an examination in French and English. 180 of them passed in English and 80 passed in both French and English. 40 students did not pass in any of the subjects Illustrate the information on a Venn diagram How many passed in French? What is the probability of meeting a student who passed in one subject only?
Answers
Answer:
500
Step-by-step explanation:
what is the radius of the semicircle
Answers
20
Step-by-step explanation:
Hint: Use the Pythagorean Theorem
———————————————————
We’ll just listen to what the hint says
Pythagorean theorem: a^2 + b^2 = c^2
where a = 16 b = 12 and c = radius
16^2 + 12^2 = c^2
256 + 144 = c^2
c^2 = 400
square root 400
sqrt rt 400 = 20
The radius of the semicircle is 20
Cual es la respuesta 5%9(12-32)
Answers
Answer:
i need more detail
Step-by-step explanation:
What is the common ratio of the geometric
Answers
the answer is B. 7
Step-by-step explanation:
it's the number u see the most therefore its the most common
Answer:
D. 10 maybe?
Step-by-step explanation:
because it moves a decimal with every number. im not sure I hope it's correct. it adds on a zero
Find the value of a. Round
the nearest tenth.
Answers
Answer:
a = 24.0
Step-by-step explanation:
We can use the law of sines to solve
sin 150 sin 12
---------- = ----------
a 10
Using cross products
10 sin 150 = a sin 12
10 sin 150 / sin 12 = a
a=24.04867
To the nearest tenth
a = 24.0
Is it possible to build a triangle with side lengths of 3, 3, and 9?
Answers
Answer:
N0
Step-by-step explanation:
The sides of a triangle must be
a-b< c< a+b where a and b are the two smaller sides and c is the larger side
3-3 <9< 3+3
0<9<6
This is not true so it cannot make a triangle
answer:
no
step-by-step explanation:
each side must be smaller than the sum of other sides
so
9+3>3-right
3+3<9-wrong
I need help with this
Answers
98 degrees
If Sin x = -¼, where π < x < 3π∕2 , find the value of Cos 2x
Answers
Answer: 7/8
Cos2x has 3 formulas, Sinx is given in the question, we should use the formula with sinus. I guess that's the solution.
Please help me!!! I'm being timed
Answers
Answer:
search it in internet.hope you'll find the answer
PLS HELP WILL GIVE BRAINLY!!
What is the weight (in grams) of a liquid that exactly fills a 182.8 milliliter container if the density of the liquid is 0.135grams over milliliter? Round to the nearest hundredth when necessary, and only enter numerical values, which can include a decimal point
Answers
Answer:
24.68 gram
Step-by-step explanation:
Given that :
Volume = 182.8 ml
Density of liquid = 0.135 gram/ml
Recall :
Density = mass (g/ml) / volume (ml)
Substitute the value into the equation :
0.135 = mass / 182.8
Mass = 0.135 * 182.8
Mass = 24.678 gram
Hence, weight = 24.678 grams
Will give brainliest to first person
Answers
Answer:
[tex]x^{2} +6x+5[/tex]
Step-by-step explanation:
A=lw
A=(x+5)(x+1)
A= [tex]x^{2} +6x+5[/tex]
√a²-b² +√2ab-b² >a giúp với huuuuuuuuuuuuuuuuuuuuuuu
Answers
Step-by-step explanation:
버터처럼 부드럽게
simplify the radical expressions pleaseeeeee help I haven’t done algebra in 2 years
Answers
For the next one you can’t have a radical in the denominator so just multiply by root 3/ root 3, which gives you 6 root 3/3 which simplifies into 2 root 3.
y = 4x – 10
y = 2
What is the solution to the system of equations?
(3, 2)
(2, 3)
(–2, 2)
(2, –2)
Answers
Answer:
(3,2)
Step-by-step explanation:
y = 4x – 10
y = 2
Substitute the second equation into the first
2 = 4x-10
Add 10 to each side
2+10 = 4x-10+10
12 = 4x
Divide each side by 4
12/4 =4x/4
3 = x
The solution is
(3,2)
Answer:
(3,2)
Step-by-step explanation:
y = 4x – 10...(1) y = 2...(2) You have y=2 here, substitute it in equation (1),
y = 4x – 10 2 = 4x – 10
Add both sides by 10 12=4x
Divide both sides by 4 x=3
We have x=3, and y=2. ==> (x,y) = (3,2)
Find the area of the shaded region.
A. 160 in²
B. 160.5 in²
C. 96 in²
D. 192 in²
Answers
Answer:
C. 96 in²
Step-by-step explanation:
24x8=192
1/2 x24x8= 96
192-96=96
Factor the Quadratic: 3x^2+12x-36=0
Answers
Answer:
3x ^ 2 + 12x-36 = 0
3(x²+ 4x-12)=0
3(x²-2x+6x-12)=0
3[x(x-2)+6(x-2)]=0
3(x-2)(x+6)=0
⇒[tex]\left \{ {{x-2=0} \atop {x+6=0}} \right.[/tex]⇔[tex]\left \{ {{x=2} \atop {x=-6}} \right.[/tex]
how do you figure this out step-by-step?
5x + 3y = 10
6x + 3y = 33
Answers
Multiply the second equation by -1.
5x+3y=10
-6x-3y=-33
The postive and negative 3ys cancel
-x=-23
x=23
10=5x-3y=3xy+10=13xy
Is this table a function why or why not?
Answers
Answer:
yes
Step-by-step explanation:
functions have one input for every output.
the input side has unique and individual numbers therefore it's a function.
Find the indicated side of the
right triangle.
45°
y
6
45°
Answers
Answer:
6
Step-by-step explanation:
tan 45 = 6 / x
1 = 6 / x
x = 6
Note :
Tan 45 value = 1
Answer:
x=6
Step-by-step explanation:
Since this is an isosceles triangle, the sides must be equal next to the base angles that are equal
x=6
I really really need help with this
Answers
Answer:
c) 21
Step-by-step explanation:
[tex] \sqrt{169} + \sqrt{64} [/tex]
13+8
answer is 21
