Answer:
If n is an integer, the function that generate the sequence 10, 12, 14, 16, ... is [tex]\mathbf{d(n)=8+2n\:for\:n>1}[/tex]
Option D is correct option
Step-by-step explanation:
We are given the arithmetic sequence:
10, 12, 14, 16, ...
If n is an integer, which of these functions generate the sequence?
We need to find the nth term for the given sequence
The nth term for arithmetic sequence will be: [tex]a_n=a_1+(n-1)d[/tex]
where aₙ is nth term, a₁ is first term and d is common difference
Looking at the sequence a₁ = 10 and d = 2
So, nth term will be:
[tex]a_n=a_1+(n-1)d\\a_n=10+(n-1)2\\a_n=10+2n-2\\a_n=8+2n[/tex]
So, nth term is: [tex]a_n=8+2n[/tex]
In the options below, the only correct answer is option D. so, we can write nth term as: [tex]d(n) = 8 + 2n\: for\: n > 1[/tex]
So, If n is an integer, the function that generate the sequence 10, 12, 14, 16, ... is [tex]\mathbf{d(n)=8+2n\:for\:n>1}[/tex]
Option D is correct option
Answer:
D) 8 + 2n for n > 1
Step-by-step explanation:
TRUE OR FALSE:
2y + 3 + y + 2 + 4 = 3y + 9
The ratio of girls to boys in a class is 4:3. If the total number of students in the class are 28. How many of them are girls?
please help me. Please no one answer if you don’t know I’m really struggling and I can’t get this
Answer:
Right, Wrong, Right, Wrong, Right.
Step-by-step explanation:
Solve.
-5 3/4 - 3 1/2
Which action completes this
diagram?
Answer: Establish a national bank
Step-by-step explanation:
Three vertices of parallelogram ABCD are A(0,2), B(8,1), and D(3,4). Find the coordinates of vertex C.
Answer:
my answer is(5,7) thats may answer
A parallelogram is a quadrilateral that has two pairs of parallel sides.
In a parallelogram, opposite sides and angles are equal.
The adjacent angles add up to 180 degrees.
The coordinates of vertex C are (11, 3).
What is a parallelogram?A parallelogram is a quadrilateral that has two pairs of parallel sides.
In a parallelogram, opposite sides and angles are equal.
The adjacent angles add up to 180 degrees.
We have,
Three vertices of the parallelogram ABCD.
A = (0, 2)
B = (8, 1)
D = (3, 4)
C = (x, y)
A___________B
/ /
/ O /
/ /
D C
Now,
AO = OC
BO = DO
O is the midpoint of BD.
O =(m, n)
m = (8 + 3) / 2
m = 11/2
n = (1 + 4)/2
n = 5/2
O = (11/2, 5/2)
Now,
O is the midpoint of AC.
m = (x + 0)/2
11/2 = x/2
x = 11
n = (y + 2)/2
5/2 = (y + 2)/2
y + 2 = 5
y = 3
The coordinates of C.
= (x, y)
= (11, 3)
Thus,
The coordinates of vertex C are (11, 3).
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The polygons are similar. The area of one polygon is given. Find the area of the other polygon.
4 cm
12 cm
A = 10 cm
Area =
cm2
Answer:
90 cm²
Step-by-step explanation:
Given that both triangles are similar, it follows that the ratio of their area equals the square of their corresponding sides.
Let the area of the other triangle be x. Therefore:
[tex] \frac{10}{x} = \frac{4^2}{12^2} [/tex]
[tex] \frac{10}{x} = \frac{16}{144} [/tex]
Cross multiply
[tex] 10*144 = 16*x [/tex]
[tex] 1440 = 16x [/tex]
Divide both sides by 16
90 = x
Area of the other polygon = 90 cm²
Answer:
Answer is 90
Step-by-step explanation:
I had this homework and got it right
Mrs. Torres is mailing a package that weighs 12.5 pounds. The post office charges by the
ounce to mail a package. How much does the package weigh in ounces?
Answer:200 ounces
Step-by-step explanation: multiply 12.5 by 16
Please help me!!!!! Geometry work!!!
Answer:
number 7:Sometimes We can have two acute angles, 20 and 30, 20+30=50, which is still acute, We can have two acute angles, 45 and 45, 45+45=90, which is neither acute nor obtuse. We can have two acute angles, 80 and 80, 80+80=160, which is obtuse.acute angles are less than 90 degrees. However, they can sometimes equal obtuse angles. For example, two acute angles measures of 70 degrees and 30 degrees are both acute. Add them together they equal 100 degrees, which is obtuse. some examples: 40° and 30° are acute angles 40° + 30° = 70°, which is an acute angle 60° and 30° are acute angles 60° + 30° = 90°, which is a right angle 50° and 70° are acute angles 50° + 70° = 120°, which is an obtuse angle.
number 8 :Since the intercepted arc LN is the diameter of the circle, its measure is 180 degrees, so m<LMN = 90
Conclusion: the sum of two acute angles is sometimes an acute angle.
Simplify the expression
10x-4-7x-3
Answer:
3 x − 7
Step-by-step explanation:
Riya wants curtains in her room. These are the lengths of curtains in metres. 1.0 m, 1.25 m, 1.5 m The lengths follow a pattern. Riya wants the next length up from 1.5 m. What length of curtains will Riya buy?
Answer:
1.75
Step-by-step explanation:
Since the curtains are going up in .25. We need to add .25 to 1.5.
1.5 + .25 = 1.75
The length of curtains will Riya buy is 1.75 m.
What is sequence?A sequence is an arrangement of numbers in a specific order. A series, on the other hand, is defined as the sum of the elements in a sequence.
For example, In the sequence 1, 3, 5, 7, 9, …, 1 is the first term, 3 is the second term, 5 is the third term, and so on.
We have length of curtains as
1m, 1.25 m, 1.5 m,...
Now, from above the first term is 1.
Common difference, d= 1.25 - 1 = 0.25
So, the next length of curtain will be
= 1 + (4-1)0.25
= 1 + 0.75
= 1.75 m
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My cousin facetimed me and asked me a id k what it is but this is it. 92 meters per second times ________= 1,000 km
Answer:
10869.5652174 seconds
Step-by-step explanation:
1000 km = 1000000 m
1000000m /92 = 10869.5652174
You are using a magnifying glass that shows the image of an object that is six times the object's actual size. Determine the length of the image of the termite seen through the magnifying glass.
Answer:
3 inches
Step-by-step explanation:
Typical length of a termite is 1/2 inch
[tex]Lenght \ seen \ through\ magnifying\ glass=\frac{1}{2}(6) =3[/tex]
The length of the image of the termite seen through the magnifying glass is 3 inches.
What is magnifying glass?A convex lens is used in a magnifying glass to provide an enlarged image of an object. Typically, the lens is fixed inside of a frame with a grip. You can use a magnifying glass to focus light, for example, to concentrate the sun's radiation and create a hot spot at the centre to start a fire.
Given that you are using a magnifying glass that shows the image of an object that is six times the object's actual size.
The length of the image of the termite seen through the magnifying glass will be calculated as,
Length = (1 / 2 ) x 6
Length = 3 inches
Therefore, the length of the image of the termite seen through the magnifying glass is 3 inches.
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what is the distance between the points?! round to the nearest tenth i need to show work
Answer:
8.6
Step-by-step explanation:
To find the distance between two points we use the formula posted below
All we need to do is figure out what the points are on the graph and plug them into the formula... we end up with
the square root of (5-(-2)^2+(2-(-3)^2 and get the answer of 8.602325267
then we round to the nearest tenth and get 8.6
Change to Scientific Notation
.0000000005
5x10^-10 is the answer
Lin has 13 mystery novels. Each month, she gets 2 more. Select all expressions that represent the total number of Lin's mystery novels after 3 months.
answer:
Lin should have about 19 novels in total when you add up all the amounts she gets after 3 months.
you use 4 gallons of water on 30 plants in your garden. At the rate,how much water will it take to water 45 plants
Answer:4 gallons of water ... 30 plants
x gallons of water = ? ... 45 plants
If you would like to know how much water will it take to water 45 plants, you can calculate this using the following steps:
4 * 45 = x * 30
180 = 30 * x /30
x = 180 / 30
x = 6 gallons of water
Result: You will use 6 gallons of water to water 45 plants.
Step-by-step explanation:
please help me i never payed attention in this part of math
Krutika is 11 years older than Gordon. Pip is 12 years younger than Gordon. If the total of their ages is 77, how old is the youngest of them?
A jewelry maker has 51 inches of chain. She wants to cut the chain into 9 equal parts. How long will each part be?
Answer:
5.6 inches
Step-by-step explanation:
HELP ME I BEG U a solution to the equation 4x-3y=12 must also be a solution to which of the following equation?
(1) 4x+3y= -12
(2) 12x-9y=36
(3) 2x-3y=6
(4) 8x-6y=12
Answer:
(2) is the correct answer
Step-by-step explanation:
if you multiply the given equation by 3 you get answer (2):
3(4x - 3y) = 3(12)
12x - 9y = 36
Answer:
(2) 12x-9y=36
Step-by-step explanation:
4x-3y=12 (×3)
12x-9y=36
PLEASE HELP IM DESPERATE I have no clue about this
Answer:
B
Step-by-step explanation:
Two linear lines can never intersect twice
Independent Practice
Find the midpoint of the segment.
A. (4, 2)
B. (1, 0)
C. (-4, 0)
D. (0, 1)
Answer:
B. (1, 0)
Step-by-step explanation:
9514 1404 393
Answer:
B. (1, 0)
Step-by-step explanation:
You can count grid squares on the graph to find the point that is 4 of the 8 units horizontally between the points, and 2 of the 4 units vertically between the points. That will be ...
C +(4, 2) = D -(4, 2) = (1, 0)
__
Or, you can use the midpoint formula:
M = (C +D)/2
M = ((-3, -2) +(5, 2))/2 = (-3+5, -2+2)/2 = (2, 0)/2
M = (1, 0)
The midpoint is (1, 0).
The figure shown is a semicircle. Find its area. Round your solution to 2 decimal places.
Answer:
12.5 pie , 39.25 using pie=3.14, and 39.28 to be exact
Step-by-step explanation:
BTW n=pie
10in= Diameter
5in=Radius
Area=n5^2
= 25n/2
=12.5n
12.5 times 3.14= 39.25
22/7 times 12.5= 39.2857143
What value correctly fills in the blank so that the expressions are equivalent?
32 + 72 = blank x (4 + 9)
Answer:
8
Step-by-step explanation:
8*4 is 32 8*9 is 72
so, it is 8
since it is distributive property 8(4+9)
Answer:
8
Step-by-step explanation:
1) simplify the equation
32+72=104
104=4x+9x (distibute the "x")
104=13x
x=8
hence the "blank" is 8
What is the distance from M to N?
HELPPP ME PLEASE HURRY IM GIVING BRAINLIST!!!!!!!!
50 POINTS!!!!! NO TROLLING PLZ!!
Answer: B. 14 units
Step-by-step explanation:
Answer:
it’s not 14 units, that’s all i know
Step-by-step explanation:
got it wrong on ap3x
Need help finding the value of x
Answer:
The value of x is 26.
Step-by-step explanation:
In a triangle, the total angles is 180°. In order to find the value of x, you have to add up all the angles in terms of x and make it equals to 180°
2x + 3x + 50 = 180
5x + 50 = 180
5x = 180 - 50
5x = 130
x = 130 ÷ 5
x = 26
As we know that,
Sum of all angles of triangle = 180°
Given,
Angles are 2x , 3x and 50°
Now,
[tex] \rightarrow \: 2x + 3x + 50 = 180[/tex]
When plus sign goes to another side then,it become minus.
[tex] \rightarrow \: 5x = 180 - 50[/tex]
[tex] \rightarrow \: 5x = 130[/tex]
[tex] \rightarrow \: x = \cancel \dfrac{130}{5} [/tex]
[tex] \rightarrow \: x = 26[/tex]
Hence,the value of x is 26°.
You lose 2 points every time you forget to write your name on a test. You have forgotten to write your name 4 times. What integer represents your change in points from forgetting to write your name?
Answer:
-8
Step-by-step explanation: since it says Times, (for me times is multiplication) you would multiply -2 and 4. negative 2 would be from that person losing 2 points. and 4 since it is your total amount of times you have forgotten to write your name. so, -2 x 4 = -8.
how i got -8. both signs from -2 and 4 are different, and when they are different the answer will always be negative.
PLZ help meee !!!! I will give you 10 points
a rectangle has a length 3 meters more than three times the width. the area of the rectangle is less than 90 meters squared. write an expression that represents all possible widths (use the variable x) of the rectangle. write your answer as an inequality, a < x < b.
Answer: -6<x<5
Step-by-step explanation:
Given
Length is 3 m more than three times the width
Suppose width is x
So, the length is 3x+3
The area of a rectangle is [tex]length\times width[/tex]
Area= [tex](3x+3)x<90[/tex]
[tex]\Rightarrow 3x^2+3x-90<0\\\Rightarrow x^2+x-30<0\\\Rightarrow x^2+6x-5x-30<0\\\Rightarrow (x+6)(x-5)<0\\\Rightarrow -6<x<5[/tex]