Given:
The arithmetic sequence is:
10, 12, 14, 16, ...
To find:
The function that generates the given sequence if n is an integer.
Solution:
We have,
10, 12, 14, 16, ...
Here, the first term is 10 and the common difference is:
[tex]d=a_2-a_1[/tex]
[tex]d=12-10[/tex]
[tex]d=2[/tex]
The nth term of an arithmetic sequence is:
[tex]a_n=a+(n-1)d[/tex]
Where, a is the first term, d is the common difference and [tex]n\geq 1[/tex].
Putting [tex]a=10,d=2[/tex] in the above formula, we get
[tex]a_n=10+(n-1)2[/tex]
[tex]a_n=10+2n-2[/tex]
[tex]a_n=8+2n[/tex]
Therefore, the function [tex]a_n=8+2n, n\geq 1[/tex] generates the sequence.
Help me plssssssssssss.
Answer:
5
Step-by-step explanation:
Select at the tru statements about this graph
Answer: a,e
Step-by-step explanation:
Select the correct answer. Each of the four angles of a quadrilateral measures 90°. How many rectangles can you construct using this condition? A. 0 B. 1 C. 2 D. 4 E. infinitely many
Answer:
2
Step-by-step explanation:
how would u read the expression 2*3
Zoey made 6 3/4 of fruit salad for a picnic. At the picnic, they ate 1/3 of the fruit salad. How much fruit salad did they eat?
Answer:
[tex]4\frac{1}{2}[/tex] of fruit salad
Step-by-step explanation:
Answer:
2 1/4
Step-by-step explanation:
6 3/4 = 21 / 4
27 /3 x 4 =
9 / 4 =
2 1/4
ASAP
-will mark brianist
Answer:
20-12
35-21
40-24
Step-by-step explanation:
You times both numbers by the same value
Answer:
1st is 12
2nd is 35
3rd is 40
Step-by-step explanation:
8g - 24d please help!
Answer:
-16
Step-by-step explanation:
Find the value of x. 30,45,x,100; The median is 51.
Answer:
49
Step-by-step explanation:
The temperature in Michigan one night was -12°F. By
morning the temperature rose 8°F. What was the
temperature that morning?
Answer:
-4 degrees F
Step-by-step explanation: So the temperature was -12F add 8F that gets you to -4F. It rose 8F.
PLEASE HELP ASAP
answer has to be in simplest radical form
find s
Answer:
s = 6√3
Step-by-step explanation:
We can recognize that the triangle in the image is a special 30 - 60 - 90 triangle. In a 30 - 60 - 90 triangle, the leg opposite the 60 degree angle, s, is √3 times the leg opposite the 30 degree angle, in this case 6m. We can write an equation to model the situation:
s = 6 * √3
s = 6√3
if 5/7y=105,what is the value of y
Answer:
look at the picture i sent......
Question 22 of 43
A circle is sliced into 16 pieces and rearranged into a shape that looks like a
parallelogram. The dashed line indicates the base of the shape. Which
statement is correct?
A. The base of the parallelogram is approximately equal to the radius
of the circle
O B. The base of the parallelogram is approximately equal to the
circumference of the circle,
C. The base of the parallelogram is approximately equal to the
diameter of the circle.
D. The base of the parallelogram is approximately equal to half the
circumference of the circle.
Answer: D. Half of the Circumference
Step-by-step explanation:
I just got it right on my quiz so its ap3x approved.
The answer is option D.The base of the parallelogram is approximately equal to half the circumference of the circle.
What is a circle?A circle is a two-dimensional geometry on the plane having a centre point and the circular line is drawn equidistant from the centre point.
Given that:-
A circle is sliced into 16 pieces and rearranged into a shape that looks like a parallelogram.When the circle is sliced into 16 pieces and rearranged into a shape that looks like a parallelogram. the base of the parallelogram is approximately equal to half the circumference of the circle
To know more about circles follow
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a dog is leashed to the corner of a house. how much running area does the dog have? 40 ft
Answer:
5027.2ft^2
Step-by-step explanation:
Given data
Radius= 40ft
The expression for the area covered is given as
A= πr^2
Substitute
A= 3.142*40^2
A=3.142*1600
A=5027.2ft^2
Hence the area covered is 5027.2ft^2
In order to add 1 ⁄ 4 and 2 ⁄ 5, the denominators have to be the same. This means multiplying both the numerator and denominator of each fraction by the opposite fraction's denominator.
1 ⁄ 4 + 2 ⁄ 5
( 1 ⁄ 4 × 5 ⁄ 5 ) + ( 2 ⁄ 5 × 4 ⁄ 4 )
(1 × 5)/(4 × 5) + (2 × 4)/(5 × 4)
5 ⁄ 20 + 8 ⁄ 20 = 13 ⁄ 20
1/3 + 3/8 =
Answer:
1/3 + 3/8 = 17/24
Step-by-step explanation:
LCD is 24
3*8 = 24
8*3 = 24
3/24 + 9/24 = 17/24
In the diagram below of triangle NOPNOP, QQ is the midpoint of \overline{NP}
NP
and RR is the midpoint of \overline{OP}
OP
. If m\angle PON=-5x+171∠PON=−5x+171, and m\angle PRQ=-9x+207∠PRQ=−9x+207, what is the measure of \angle PON∠PON?
N
Answer:
126 degrees
Step-by-step explanation:
In how many ways can 12 math students be seated at a round table?
A. 479,001,600
B. 39,916,800
C. 144
Answer:
479,001,600
Step-by-step explanation:
The first seat could be any of the 12
the second seat could be any of the remaining 11
and so on
12!
12 * 11 * 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1
479,001,600
7/9
×
3/7
just need help
Answer:
Let me hep you then :)
Step-by-step explanation:
7/9 x 3/7 = 1/3 or 0.3
Have a nice day <3
Answer:
Fraction Form = 1/3
Decimal Form= 0.3 repeating or just 0.3
Step-by-step explanation:
Heres a free Quote for you- “Believe you can and you're halfway there.”
solve ABC triangle if b=15, c=13, and A=50
Emergency question!! Please help right now!!
What is the sum of 15 and it's addictive inverse
Answer:
zero
Step-by-step explanation:
the additive inverse of 15 is -15 so the sum is zero
Answer: The sum Is zero, explanation below
Step-by-step explanation:
The Addictive inverse of a number is its opposite so for example the addictive inverse of 12 is -12 or x is -x so the equation would be
15 + -15
making your answer zero :D
SHEEEESSSHHHH
What are factors of 72 that add to be -18?
Answer:
-12 and -6
Step-by-step explanation:
Ayúdeme es urgente .por favor
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find out the time at which the rocket will reach its max, to the nearest 100th of a second.
y=-16x^2+174x+78
equation
Answer:
551.06feet
Step-by-step explanation:
Given the equation
y=-16x^2+174x+78
At maximum height, dy/dx = 0
dy/dx = -32x + 174
0 = -32x+174
32x = 174
x = 174/32
x = 5.4375
GEt the maximum height
y=-16x^2+174x+78
y=-16(5.4375)^2+174(5.4375)+78
y = -473.0625 + 946.125 + 78
y = 551.0625
Hence the maximum height is 551.06feet to the nearest hundredth
Please Help Quick ASAP Hurry
What is the approximate volume of the cone? Use 3.14 for π.
A. 848 cm 3
B. 1272 cm 3
C. 3815 cm 3
D. 6359 cm 3
5.6 dividido en 18.8
Answer:
3.357
Step-by-step explanation:
18.8 / 5.6 = 3.357
What is the slope of line 3x - y = 18
Answer:
ok do 3 times whatever to make 18 so the answer is probly 6y
Step-by-step explanation:
Plz help me giving brainliest
Answer:
A. 80
Step-by-step explanation:
Count the first top half and you get 40 and you will know the bottom half is 40
which altogether is 80 or you can count the blocks one by one or count the blocks on the right side count the top blocks by five across.
V= l*w*h
V= 5*4*4
V= 80
Hope this Helps! :)
Have a nice day! :)
The two-way frequency table below shows data on mindset and attendance at practice for students in Mateus's study.
Complete the following two-way table of column relative frequencies.
(If necessary, round your answers to the nearest hundredth.)
Growth mindset Fixed mindset
Attended every practice 28 12
Missed at least 1 practice 9 58
Answer:
First table
28 + 9 = 37
12 + 58 = 70
Answer table
28/37 = 0.76
12/70 = 0.17
9/37 = 0.24
58/70 = 0:83
Step-by-step explanation:
3. For g(x)=5 and h(x)=2x, find lim (g(x)*h(x))
4. Find G(x)= X-10 And H(x)= 2x, Find ) G(x) = X-10 H(x) = 2x, Lim Lim C-3 C-2 2
Answer:
3. B 10a
4. D 3
Step-by-step explanation:
the value of function lim (g(x)*h(x)) will be 10 a.
What is Function?A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain.
Given, For g(x)=5 and h(x)=2x
[tex]\lim_{x \to \ a }(g(x)*h(x))[/tex]
=> lim (5 * 2x)
=> lim 10x
=> 10a
for G(x)= X-10 And H(x)= 2x,
g(x)/ h(x) = (x - 10)/2x
[tex]\lim_{x \to \ -2} g(x)/ h(x)[/tex]
=> (-2- 10)/-4
=> 3
therefore, the value of function lim (g(x)*h(x)) will be 10 a.
Learn more about function here:
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The base area of a triangular pyramid is 22 square yards and the height of the pyramid is 15 yards. What is the volume of the triangular pyramid
Answer:
110 yards^3
Step-by-step explanation:
volume of a triangular pyramid= 1/3 area x height
1/3 x (22) x 15 = 110 yd^3
Which angles are vertical angles?
Answer:
∠GFC and EFH
Hope this helps!