Answer:
Step-by-step explanation:
1,
-10,20,-40,80,...
common ratio=20/-10=-2
it is a geometric sequence.
2.
15,-5,-25,-45
common difference=-5-15=-20
it is an arithmetic sequence.
Write an explicit formula for…
Answer:
aₙ = 11 - 3(n - 1)
Step-by-step explanation:
Arithmetic Explicit Formula: aₙ = a₁ + (n - 1)d
a₁ = First term
d = Common difference
n = Term number
The first term of the sequence is 11 and the common difference is -3.
Therefore, the explicit formula of the sequence is aₙ = 11 - 3(n - 1).
what is the additive identity of rational number
Answer:
zero(0)
Step-by-step explanation:
The additive identity of a set of number is a number such that the its sum with any of the numbers in the set would give a result that is equal to the number in that set.
In other words, say for example the set of numbers is rational, the additive identity of rational numbers is 0. This is because, given any rational number say x, adding zero to the number x gives the same number x. i.e
x + 0 = x
If x is say 2, then we have;
2 + 0 = 2
Since adding zero to rational numbers gives has no effect on the numbers, then zero (0) is the additive identity of rational numbers.
6. Write two rational numbers which are their own reciprocals ?
1 and -1 are the only rational numbers which are their own reciprocal.[tex] \: [/tex]
find the measure of the complementary angles that satisfy each case. the measure of the first angle is 30 greater than the measure of the second angle
Answer:
First angle: 60°
Second angle: 30°
Step-by-step explanation:
Let the two angles be signified by the variables x & y.
Let the first angle = x, and the second angle = y.
It is given that:
"The measure[ments] of the complementary angles...": x + y = 90°
"The measure of the first angle is 30 greater than the measure of the second angle": x = y + 30°
Use the system of equations. Plug in y + 30 for x in the first equation:
(y + 30) + y = 90
Combine like terms:
(y + y) + 30 = 90
2y + 30 = 90
Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. First, subtract 30 from both sides of the equation:
2y + 30 (-30) = 90 (-30)
2y = 90 - 30
2y = 60
Next, divide 2 from both sides of the equation:
(2y)/2 = (60)/2
y = 60/2
y = 30°
Plug in 30 for y in one of the equations:
x = y + 30
x = (30) + 30
x = 60°
Your answers:
First angle: 60°
Second angle: 30°
evaluate log25+log8 _log2
Step-by-step explanation:
log 25 + log 8 = log (25 × 8) = log 200
log 200 - log 2 = log (200 ÷ 2) = log 100
logarithm base 10 of 100 is 2.
Mei's average score on the first six holes in a miniature golf game was 6. her average score on the next 12 holes was 3. what was her average score on all 18 holes?
Answer:
72
Step-by-step explanation:
6*6 = 36
3*12 = 36
36 + 36 = 72
please hurry :(
Given m||n, find the value of x.
m
xº
1189
+-
Answer:
62°
Step-by-step explanation:
hello there i have no clue how to graph this function, f (x) =3/2 (2) ^x
Determine the period
Answer:
It's 10, on acellus :)
Step-by-step explanation:
Please help!
Question:
Divide £40 in the ratio 3 : 7
Step-by-step explanation:
here's your answer hope it helps you
Be sure to show your work and solve for h:
13 = h - 18 - 5
Answer:
h = 36
Step-by-step explanation:
13 = h - 23 (subtract)
13 + 23 = h (move to the other side)
36 = h (add)
SOMEBODY PLEASE ILL GIVE BRAINLIEST AND FREE ROUBUX
Answer:
The y-coordinate is 4. The point is (2,4)
Step-by-step explanation:
The point is 4 units above the x axis.
Answer:
y-coordinate=4
Step-by-step explanation:
For f(x) = 6x + 20, what is the value of x for which f(x)= -4 ?
Answer:
x = -4
Step-by-step explanation:
Plug in -4 into the function and solve for x:
f(x) = 6x + 20
-4 = 6x + 20
-24 = 6x
-4 = x
So, the answer is x = -4
Find the lowest common multiple of 180 and 140.
Hello,
In prime decomposition:
180=2²*3²*5
140=2²*5*7
lcm(180,140)=2²*3²*5*7=1260
Proof: 1260/180=7 and 1260/140=9
The question is in the image
Answer:
$9Step-by-step explanation:
f(x) = - 25 ( x - 9 )² + 200when x = 5 ,
f(5) = - 25 ( 5 - 9 )² + 200 = - 200
when x = 9 ,
f(9) = - 25 ( 9 - 9 )² + 200 = 200
when x = 10 ,
f(10) = - 25 ( 10 - 9 )² + 200 = 175
when x = 15 ,
f(15) = - 25 ( 15 - 9 )² + 200 = -700
∴ when price = $9
the company receive the maximum profit
Answer:
9$
Step-by-step explanation:
x + 9x + 5 = 35 . Find value of x.
Answer:
x = 3
Step-by-step explanation:
x + 9x + 5 = 35
=> x + 9x = 35 - 5
=> x + 9x = 30
=> 10x = 30
=> x = 30/10
=> x = 3
Answer:
x = 3
Step-by-step explanation:
Combine like terms. Like terms have same variable with same exponent.
Here x and 9x are like terms
x + 9x + 5 = 35
10x + 5 = 35
Subtract 5 from both sides
10x + 5 - 5 = 35 - 5
10x = 30
Divide both sides by 10
10x/10 = 30/10
x = 3
Use the zero product property to find the solutions to the equation x2 + 12 = 7x.
x = –4 or x = 3
x = –4 or x = –3
x = –3 or x = 4
x = 3 or x = 4
Answer:
x= 4, 3
The choose (d)
Step-by-step explanation:
x²+12=7x
x²-7x+12=0
(x-3)(x-4)=0
x=3
or x=4
Answer:
D
Step-by-step explanation:
on edge
Jin completed 8 pages in his math workbook and
12 pages in his science workbook. This is 25% of the
total number of pages in both workbooks together.
If there are 32 pages in his math workbook, how
many pages are there in his science workbook?
A. 20
B.
48
C. 80
D. 128
The equation d = m/v can be used to calculate the density,d, of an object with mass,m, and volume,V. Which is an equivalent equation solver for V?
Answer:
v = m/d
Step-by-step explanation:
since
[tex]d = \frac{m}{v} \: \\ \\ v = \frac{m}{d} [/tex]
1. What does each expression equation represent in this situation? Q(18) b. Q(30) = 27.5
Answer:
Step-by-step explanation:
Q(18) is a direction. It means that wherever you see a variable like x on the right, you put an 18 in for it. For example Suppose the right looked like
Q(x) = x^2 + 10 Then Q(18) would mean
Q(18) = 18^2 + 10
Q(18) = 324 + 10
Now we come to the second equation (b)
What that means is that after you do all the calculations, your answer is
27.5
So for the first question(a) Q(18) = 334
A is the direction of what to do. It is the question.
B is the answer
I’ve gotten this answer wrong twice already
Answer:
Step-by-step explanation:
The standard vertex form of a quadratic (which is what your graphs are) is
[tex]y=(x-h)^2+k[/tex] where h and are the coordinates of the vertex. The vertex is really all we need to fill in this equation. Looking at the blue graph, the vertex is located at (-4, 1), so h = -4 and k = 1. Filling in the equation:
[tex]y=(x-(-4))^2+1[/tex] which simplifies down to
[tex]y=(x+4)^2+1[/tex]. It's that simple.I think that's choice C (I'm not sure; it's very tiny!)
e) (x + 1)/(2x ^ 3 - 4x ^ 3) + (x - 1)/(2x ^ 3 + 4x ^ 2) = 1/(x ^ 2 - 4)
Answer:
X= − x ^3 + 2 x^2 − 3 x − 2 x ^3 ( x + 2 ) ( x − 2 ) = 0
Step-by-step explanation:
Cathy ran 10 meters in 2 seconds. How much time did she take to complete 100 meters?
Answer:
If Cathy ran at a constant speed of 10 meters in 2 seconds, it took Cathy 20 seconds to run 100 meters.
Step-by-step explanation:
Hope this helps.
Answer:
If Cathy run at constant speed of 10 meters in 2 seconds, it took Cathy 20 second to run 100 meters.
A is 5 times B, and B is 7 less than 2 times C. Which of the following statements describes the
relationship betweeen A & C?
(a) A is 7 less than 7 times c
(b) A is 7 less than 10 times C
(C) A is 14 less than 7 times C
(d) A is 35 less than 7 times C
(e) A is 35 less than 10 times C.
Answer:
C is the answer
Step-by-step explanation:
I'm sure it is
Please help!!
What is the formula that is used for DISCOUNT SALES?
Answer:
discounted price = original price ( 1 - discount rate)
Step-by-step explanation:
Solve for x. Thank you
Answer:
20
Step-by-step explanation:
Let the angle at the left corner is A, so the angle at the rIght corner should be (180-90-A) = (90-A).
In the left triangle:
tanA = 8√5/16 = √(5)/2
Thus,
cotA = 1/tanA = 2/√5
In the right triangle:
tan(90-A) = 8√5/x
cotA = 8√5/x [tan(90-x) = cotx]
2/√5 = 8√5/x
x = 20
Which of the following statements are always true?
A trapezoid is a rhombus.
A trapezoid is a parallelogram.
A trapezoid is a quadrilateral.
A trapezoid is a rectangle.
Answer:
„A trapezoid is a quadrilateral.” ⇒ trueStep-by-step explanation:
This is a trapezoid. It is a quadrilateral with one pair of parallel sides while other sides are non-parallel. Here, the opposite angles are alternate, that is, they have together 180°.
Isosceles trapezoid
An isosceles trapezoid is a trapezoid with congruent base angles and congruent non-parallel sides. Here, the base angles are the same.
The line segment joining the midpoints of the parallel sides is perpendicular to the bases and the diagonals are the same in length.
Right-angled trapezoid
Trapezoid with two right angles and necongruent non-paralell sides.
Good luck:)
i will give brainliest if correct
Answer:
80 students
Step-by-step explanation:
If you do 60/0.75 (the number of students who voted), you get 80
His year 16500 people visited a memorial site. This was an increase of 20% from the previous year. How many visitors were there in the previous year?
Write the equation of the line in Slope-Intercept Form given the information below.
Slope =−7/4
Y-Intercept =5
Answer:
y = -7/4 x + 5
Step-by-step explanation:
