The explicit formula of the sequence is aₙ = -10 + 8n
How to determine the explicit formula of the sequence?From the question, we have the following sequence that can be used in our computation:
The first term and the common difference
These values of the first term and the common difference are given as
First term = -2
Common difference = 8
The interpretation of the above sequence is that the 8 is added to the previous term to get the current term
Using the above as a guide,
So, we have the following representation
aₙ = aₙ₋₁ + 8
When represented explicitly, we have
aₙ = a + (n - 1) * d
Where
a = -2 and d = 8
Substitute the known values in the above equation, so, we have the following representation
aₙ = -2 + (n - 1) * 8
Evaluate the products
aₙ = -2 + 8n - 8
Evaluate the like terms
aₙ = -10 + 8n
Hence, the explicit formula is aₙ = -10 + 8n
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What is the solution to this equation?
Answer:
C. x = 7
Step-by-step explanation:
(7+6) = 13
2(7) - 1 =
14- 1 = 13
13-13 = 0
PLEASE HELP ME ITS DUE IN 4 HOURS!!
Answer:
black screen
Step-by-step explanation:
please convert 16/100 into a decimal
Answer:
0.16 btw thanks for the points
Answer: 0.16
Step-by-step explanation:
put 16 over 100 and divide it. Then you get your answer 0.16.
need to find domain
O 2. 20 18 16 14 12 10 8 6 4 2 2 4 6 8 10 12 14 16 18 20 3. -5-4 D:
The collection of values that can be plugged into a function's domain are called its parameters.
How do you find domain?A specific area of thinking, action, or interest is referred to as a domain, particularly one over which someone has authority. [formal]...the great artists who experimented with several mediums. Alternative words: region, globe, field, department [informal] More Domain synonyms.
The domain is used to facilitate user navigation and increase accessibility. Slugs are links that consist of the domain plus the text "/text."
Let y = f(x) be a function where x and y are the independent and dependent variables. The chosen x-value is said to fall within the domain of f if a function f offers a means of effectively producing a single value y while using a value for x to that end.
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Select all expressions that are equivalent to 8.5x + 0.5 +3.5x - 2x
12x - 2x 10x
10x + 0.5
12-2x
9x + 3.5 - 2x
12x - 2x + 0.5
To see if it makes more sense… I added a photo of the problem on my hw
All expressions that are equivalent to 8.5x + 0.5 +3.5x - 2x are (12x - 2x + 0.5) and (10x + 0.5).
What are Equivalent expressions:Expressions that are equivalent perform the same thing even when they have distinct appearances.
When we enter the same value for the variable, two algebraic expressions that are equivalent have the same value.
By combining like terms, we can create expressions that are equivalent to a given expression. Terms with the same variables raised to the same powers are said to be "like terms".
Here we have
8.5x + 0.5 +3.5x - 2x
The above expression can be simplified as given below
=> 8.5x + 0.5 +3.5x - 2x
Add and subtract like terms
=> 8.5x +3.5x - 2x + 0.5
=> 12x - 2x + 0.5
=> 10x + 0.5
Therefore,
All expressions that are equivalent to 8.5x + 0.5 +3.5x - 2x are (12x - 2x + 0.5) and (10x + 0.5).
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pls pls HELP ASAP!!! ILL MARK BRAINIEST AND 50 POINTS!!!!
Identify or mark the missing side or angle that would make triangle ABC congruent to triangle PDF by ASA
Answer:
side BC and side DF
Step-by-step explanation:
side BC and side DF
A middle school took all of its 6th grade students on a field trip to see a symphony at
a theater that has 2000 seats. The students filled 320 of the seats in the theater. What
percentage of the seats in the theater were filled by the 6th graders on the trip?
Answer:
16%
Step-by-step explanation:
320/2000=.16 or 16%
Which matrix represents the system of equations shown below?
4x - 2y = 8
2x-3y = 12
Answer:
4x-2y=8
or, 4x = 8+2y
or x = 8+2y/4-----(eq.1)
2x-3y=12-----(eq.2)
Now,
putting value of eq.1 in eq.2, we get
2x-3y=12
or, (8+2y/4)-3y = 12
or, 8-10y/4=12
or, 8-10y=12×4
or,8-10y=48
or,-10y=48-8
or,y=40/-10
or, y = -4
again,
2x-3y=12
or, 2x-3×-4=12
or, 2x+12=12
or, x=0
In 1st option
4x-2y=8
or,4×0-2×-4=8
or,0+8=8
8=8
2x-3y=12
2×0-3×-4=12
0+12=12
12=12
So 1st option is true
The coordinates of 3 of the vertices of a parallelogram are (-3, 4), (-2, 1), and (2, 6). What is the equation for the
line containing the side opposite the side containing the first two vertices? (Remember, opposite sides of a
parallelogram are parallel.)
A.
B.
-2
y=-x
5
2
y=-x+5
52.38
C. y=-3x
D. y=-3x+12.
y = -3x + 12 is the equation for the line containing the side opposite the side containing the first two vertices.
Given coordinates:
(-3,4) ; (-2,1) ; and (2,6)
let us solve for the slope.
Since , parallel sides have the same slope.
m = y2-y1 / x2-x1
m = 1 - 4 / -2-(-3)
m = -3 / 1
m = -3
y = mx + b
Since , (2,6) is a point which passes through the line . Hence , it must satisfy the equation.
Therefore,
6 = -3(2) + b
6 = -6 + b
6 + 6 = b
12 = b
On Substituting , values of m and b in y = mx +b , we get y = -3x +12 which is the required equation of the line.
Hence, y = -3x + 12 is the equation for the line containing the side opposite the side containing the first two vertices.
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quickkkkk plss help me
Write and solve an equation to find the value of x.
Answer:
x = 60°
Step-by-step explanation:
opposite angle = congruentso
120 = 2x
x = 120 : 2
x = 60
check
120 = 2 x 60
120 = 120
the answer is goodis a(b)+a(c) the same as a(b+c)
Answer:
Yes, a(b)+a(c) is the same as a(b+c)
Step-by-step explanation:
a(b)+a(c) is the same as a(b+c). We call it distributive property in math.
Can some kind person help me with this it will really mean a a lot
Answer:
Table B
Table C
Table A
Step-by-step explanation:
Substitute by the easiest number which is 0
f(0) =2(0) - (-3) =3 Then it is Table B function
f(0) = -2(0) +(-1/3)= -1/3 Then it is Table C function
f(0) =2(0) +(2/3)=2/3 Then it is Table A function
HELP PLEASEEEEEEE!!!!!!!!!!!!!!!!
!NO FILES !
Help me ASAP :((
After a long morning of sledding, Mrs. Fieldhouse made a batch of hot cocoa for her daughter and nighborhood friends. She divided it among 8 mugs. Each mug had more than 9 fluid ounces of hot cocoa. Write an inequality to describe the situation.
x>9 perfectly describes the situation.
In mathematics, inequalities characterise the connection between two non-equal numbers. Inequality implies being unequal. If two values are not equal, we use the "not equal symbol ()". However, various inequalities are employed to compare the numbers, whether they are less than or higher than.
Let x be the amount of hot cocoa in fluid ounces that each mug contains.
Since each mug has more than 9 fluid ounces of hot cocoa, we can write the inequality as:
x > 9
We also know that the total amount of hot cocoa made is 8 mugs * the amount of hot cocoa in each mug = 8x.
So the inequality can be written as:
8x > 9*8 = 72
or
x>9
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What is the range of the parent function y=√-x
A.
all real numbers
B.
all positive numbers
C.
all positive numbers and 0
D.
all negative numbers
Answer:
the answer is
A. all real numbersHURRY IM TIMED!
what is the value of x if e^2x+6= 8
Answer:
exact form x = 2/e^2 decimal form is x = 0.27
Step-by-step explanation:
Find the area of the trapezoid
Answer:
15 + 23 = 38
38 x 9 = 342
342 x 1/2 (basically just dividing by 2) 171
Step-by-step explanation:
Formula of a trapezoid:
B1(base 1) + B2(base 2) x H(height) x 1/2(basically just dividing by 2)
In this case,
12 and 23 are your bases, 9 is your height.
What does the ∑ symbol mean in statistics?
The symbol ∑ (sigma) is used to represent the sum of a set of numbers. This is very important notation in statistics.
What is uses of sigma symbol in statistics?If a hypothesis is correct, a set of data's standard deviation serves as a gauge of how rare it is. Standard deviations are expressed in units called sigma, or, by physicists. The findings are progressively inconsistent with the hypothesis as the number of sigma increases. The word's derivation is derived from the Greek letter "sigma," which is used in statistics to measure how much a process deviates from its mean or goal.
To express the total of a set of data or the total of a function over a specified range, it is frequently used in statistics and probability. For instance, if X is a collection of numbers, the term ∑X would stand for the collection's total. The symbol is typically followed by a variable, such as I indicating the range of the sum, for example, ∑i=1 to n for the summing from i=1 to i=n. The index I is frequently used to identify the individual components of the set.
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helppp me pleaseee i really need it
23310
Step-by-step explanation:
I actually calculated it aka 259000×9%
Divide. Express your answer in simplest form.
4 √ 18
————
2 √ 12
Answer:
[tex] \sqrt{6} [/tex]Step-by-step explanation:
[tex] \frac{4 \sqrt{18} }{2 \sqrt{12} } [/tex][tex] \frac{2 \sqrt{18} }{ \sqrt{12} } [/tex][tex]2 \sqrt{ \frac{18}{12} } [/tex][tex]2 \sqrt{ \frac{3}{2} } [/tex][tex]2 { \frac{ \sqrt{3} }{ \sqrt{2} } } [/tex][tex]2 \frac{ \sqrt{3 \: \sqrt{2} } }{2} [/tex][tex]2 \frac{ \sqrt{6} }{2} [/tex][tex] \sqrt{6} [/tex]Hope it is helpful....Tricia has $37.25 in her account. Which amount will she have left after she writes 3 checks for $8.33 each?
What is the use of if __ name __ == '__ main __' in Python?
The use of if__name__ == '__main__' in python is to check whether the current script is being run on its own or being imported somewhere else by combining it with if statement.
Here we need to find the use of if __ name __ == '__ main __' in Python.
Basically, in python the term Allows You to Execute Code When the File Runs as a Script, but Not When It’s Imported as a Module
Here for most practical purposes, this is known as the conditional block that you open with if __name__ == "__main__" as a way to store code that should only run when your file is executed as a script.
Therefore, the function is used as a variable defined for each script that defines whether the script is being run as the main module or it is being run as an imported module.
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What is 66=2l+2w L=w+5
Answer:
Step-by-step explanation:
66=2(w+5)+2w L=14+5
66=2w+10+2w L=19
66=4w+10
-10
56=4w/4
14=w
Given: x - y = 11.
If x = -17, what is y?
Please put your answer in the format “y=____”
Answer:
-28
Step-by-step explanation:
-17-11= -28
-28-(-17)=11
On a youth soccer team 3 out of 12 team
members have played in previous years.
Based on this information, if 150 kids are in
the youth soccer league, then how many
could be expected to have played the year
before?
3/12=1/4
1/4×150=37.5 then round
Answer=38
What are the 15 types of angles?
There are various classifications of angles, some of which include: Acute angles, Right angles, Obtuse angles, Straight angles, Reflex angles, Complementary angles, Supplementary angles, Adjacent angles, Linear pair, Vertically opposite angles, Alternate interior angles, Alternate exterior angles, Corresponding angles, Conjugate angles, and Explementary angles.
It's important to note that this is not an exhaustive list and the classification may vary depending on the context.
Acute angles which measure less than 90 degrees, Right angles that measure exactly 90 degrees, Obtuse angles that measure more than 90 degrees but less than 180 degrees.
There is also Straight angles that measure exactly 180 degrees, Reflex angles that measure more than 180 degrees but less than 360 degrees, Complementary angles which add up to 90 degrees, Supplementary angles which add up to 180 degrees.
Then there is Adjacent angles that share a common vertex and a common side but no common interior points, Linear pair which add up to 180 degrees and share a common side, Vertically opposite angles that are formed by two intersecting lines and are opposite to each other, Alternate interior angles that are formed by two intersecting lines on opposite sides of a transversal and inside parallel lines, Alternate exterior angles that are formed by two intersecting lines on opposite sides of a transversal and outside parallel lines, Corresponding angles that are formed by two intersecting lines in the same relative position.
Conjugate angles are angles which are supplementary but non-adjacent, and Explementary angles are angles which add up to 90 degrees.
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simplify : 6/7 of 5/9 ÷ 10/21
Answer:
Step-by-step explanation:
Don’t know
How do you tell what type of triangle it is based on side lengths?
By adding the squares of the triangle's two smaller sides and comparing the result to the square of a largest side, you may determine whether triangle is acute, obtuse, or right.
Define the type of triangle?Equilateral triangle:The equilateral triangle comes first. All three sides of this triangle are the same length, and each angle measures exactly 60 degrees. An equilateral triangle is Triangle A.
A right triangle:This triangle has two acute angles, which are angles smaller than 90 degrees in length, but one right angle (as well as angle which measures 90 degrees). A right triangle is triangle B.
Isosceles triangle:The isosceles triangle is another. This triangle has two sides that are the same length.
Scalene triangle:The scalene triangle comes next. This triangle has three different lengths for its three sides.
Acute triangle:The acute triangle is the next type of triangle and has three acute angles.
Obtuse triangle:The obtuse triangle is the last triangle. Two of the angles of this triangle are sharp, and one of the angles is obtuse, which is defined as being more than 90 degrees.
Thus, by adding the squares of the triangle's two smaller sides and comparing the result to the square of a largest side, you may determine whether triangle is acute, obtuse, or right.
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