What’s the formula for the series -5,10,-20,40
Answer:
Stare at it long enough. You will notice that with each step you double the value, and change sign. It makes it a geometric sequence of ratio -2. At this point you have two ways of writing down:
Option 1: Ricorsively, the first term is -5, then the next term is -2 times the previous one:
[tex]\left \{ {{a_0=-5} \atop {a_{n+1}=-2a_n}} \right.[/tex]
Option 2: In closed form, remembering that the n-th term in a geometric sequence is the starting term times the n-th power of the ratio:
[tex]a_n=-5 (-2)^n[/tex]
Either work, depending on what you need to use it for.
Rachel has $10.00. She wants to buy a book that costs $6.79. Will she have enough
money left over to buy a pen for $3.50? Explain.
Answer:
No
Step-by-step explanation:
Because 10 - 6.79 = 3.21
Rachel will not have enough money left over to buy a pen for cost $3.50.
What is Subtraction?Subtraction can be done for any numbers or algebraic expressions. It is the process of taking out certain value from a given amount of number.
The process of subtraction can also be termed as finding difference. It is one of the basic operation in mathematics.
A number 'b' subtracted from 'a' is denoted as a - b, read as a minus b.
Total money Rachel has = $10.00
Cost of book = $6.79
If she buy the book,
Remaining money = $10.00 - $6.79
= $3.21
Cost of pen = $3.50, which is greater than the remaining money. So Rachel can't buy the pen.
Hence Rachel will not have enough money to buy a pen for $3.50 because she only has a balance of $3.21.
To learn more about Subtraction, click on the link given below :
https://brainly.com/question/2346316
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PLEASE HELP ILL GIVE5 STARS HELP ASAP
Answer:
H+2
Step-by-step explanation:
Please mark brainliest
solve for X:
10( x + 1) = 2 x-7
-1
-3
-17/8
-18/8
-17/8
Step-by-step explanation:
10( x + 1) = 2 x-7
10x + 10 = 2x - 7
10 + 7 = 2x - 10x
17 = - 8x
x = -17 /8
Answer:
Hiya There....!!!
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Isolate the variable by dividing each side by factors that don't contain the variable.
Exact Form:
x = − 17 /18Decimal Form:
x = − 2.125
Mixed Number Form:
x = − 2/ 1 8
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“To forgive is wisdom, to forget is genius. And easier. Because it's true. It's a new world every heart beat.”
― Joyce Cary, The Horse's Mouth
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Think of life as a mytery because well it sort of is! You don't know what may happen may be good or bad but be a little curious and get ready for whatever comes your way!! ~Ashlynn
Tracey paid $150 for an item that was originally priced at $510. What percent of the original price did Tracey pay?
Answer:
29.4118%
Step-by-step explanation
510 * x = 150
x = .2941176
multiply by 100 to get percent
29.4118
are Proportional and non-proportional equations are all linear.
Proportional and linear functions are very similar. The only difference is the addition of the “b” constant to the linear function. A proportional relationship is just a linear relationship where B = 0, or where the line passes through the origin (0, 0).
The diagonals of a rectangle are always
Answer:
The diagonals of a rectangle are always congruent
Answer:
Step-by-step explanation:
Diagonals of a rectangle are always congruent.
help pls and thank you
Answer:
7x3=21 3x7=21
Answer:
two correct answers are:
1 x 21= 21
3 x 7= 21
Which term of the AP 21, 42, 63, 84, ..... is 210 ?
Answer:
The 10th term
Step-by-step explanation:
As we see these are all incrementing by 21 (and divisible by 21), we can divide all the terms by 21 and get 1, 2, 3, ...., 10
Therefore 210 is the 10th term.
Answer:
The 10th term is 210
Step-by-step explanation:
Let's revise our tables of 21.
21 x 1 = 2121 x 2 = 4221 x 3 = 6321 x 4 = 8421 x 5 = 10521 x 6 = 12621 x 7 = 14721 x 8 = 16821 x 9 = 18921 x 10 = 210Therefore, the 10th term will give 210.
Hoped this helped.
8) A school community had planned to reduce the number of grade 9 students per class room by constructing additional class rooms. However, they constructed 4 less rooms than they planned. As the result, the number of students per class 10 more than they planned. If there are 1200 grade nine students in the school, determine the current number of class rooms and the number of students per class.
Step-by-step explanation:
Let "c" be the original number of classrooms.
The 1200/c was the original number of students per classroom.
----
Equation:
1200/(c-4) = (1200/c)+10
Multiply thru by c(c-4)
---
1200c = 1200(c-4)+10c(c-4)
---
1200c = 1200c-4800 + 10c^2-40c
----
10c^2-40c-4800 = 0
c^2-4c-480 = 0
Factor:
(c-24)(c+20) = 0
---
Positive solution:
c = 24 (# of classrooms originaly planned)
Can anyone please help me answer this Math question ? As soon as possible !
The We-Make-It factory in the United States pays its 250 workers an average of $21 per hour, including benefits. The average number of work hours per employee in a year is 1,924. The owners of the factory are considering relocating overseas to a country where they can pay workers an average of $6 per hour, including benefits, to achieve the same production levels. Assuming that the company would hire the same number of workers for the same number of hours in a new location, how much could We-Make-It save in wages alone in the first year by moving to the proposed overseas location?
Assuming that this would not be destroying the lives of many in a community by locating overseas. The factory would save $2,886,000 in payroll wages during the first year of relocation.
Step-by-step explanation:
$15 saved in wages/working hour × 250 workers × 1924 hours per year/worker = $2,886,000
The notebook shows the money Lyla earned and spent over two days. A positive number represents money earned. A negative number represents money spent.
Answer:7 + (-5)= 2
Step-by-step explanation:
7 + (-5)= 2 i hope its right'
What is the exponential expression for the numerical expression 6·6·6·6·6? 5·6^5 5^6. 6^5. 30^5
32 POINTS
A total of 180 students and 35 chaperones are going on a field trip to the Smithsonian Institution in Washington, D. C.
Write the ratio in simplest form.
the ratio of students to people on the trip
Answer:
36 : 43
Step-by-step explanation:
So, we have 180 : 35 + 180 in the students to people on the trip180 : 21536 : 43Therefore, the ratio of students to people is 36 : 43Does this table represent a linear or nonlinear function? x= 1, 2, 5 & y= 4, 7, 16
Answer:
linear
Step-by-step explanation:
The function is linear if the ratio of changes in y to changes in x is the same for any set of (x, y) pairs.
first two pairs: (y2 -y1)/(x2 -x1) = (7 -4)/(2 -1) = 3/1 = 3
second two pairs: (y3 -y2)/(x3 -x2) = (16 -7)/(5 -2) = 9/3 = 3
The slopes between points are the same for any pair of points, so they all lie on the same line. The function is linear.
Please solve of r in the problem int the photo
[tex]r = \sqrt{\dfrac{3V}{\pi h}}[/tex]
Step-by-step explanation:
Multiply both sides by 3 to get
[tex]\pi r^2h = 3V[/tex]
Then divide both sides by [tex]\pi h[/tex] and you'll get
[tex]r^2 = \dfrac{3V}{\pi h}[/tex]
To solve for r , you need to take the square root of both sides to get
[tex]\sqrt{r^2} = r = \sqrt{\dfrac{3V}{\pi h}}[/tex]
Evan is organizing textbooks on his bookshelf. He has an English textbook, a biology textbook, a physics textbook, and a writing textbook. How many different ways can he line the textbooks up on his bookshelf?
Answer:
there is many ways but he could put them side to side or top and bottom
Step-by-step explanation:
If (2a+b,11) and (1, a-3b) are equal ordered pair then (a,b) = ______.
Given that
(2a+b,11) and (1,a-3b) are equal ordered pair
⇛(2a+b,11) = (1,a-3b)
On comparing both sides then
2a+b = 1 ----------Eqn(1)
11 = a-3b
⇛ a-3b = 11 ------Eqn(2)
⇛ a = 11+3b-------Eqn(3)
On substituting the value of a in Eqn(1) then
⇛ 2(11+3b) + b = 1
⇛(2×11)+(2×3b) + b = 1
⇛ 22 +6b+b = 1
⇛ 22+7b = 1
⇛ 7b = 1-22
⇛ 7b = -21
⇛ b = -21/7
⇛ b = -3
On substituting the value of b in Eqn(3) then
⇛ a = 11+3(-3)
⇛ a = 11-9
a = 2
Therefore, a = -3 and b = 2
Answer:-The value of (a,b) for the given problem is (-3,2).
A salesperson earns a commission of $308 for selling $ 2200 in merchandise. Find the commission rate.
Answer:$247
Step-by-step explanation
Find the solution of the system of equations.
3x – 3y = 18
3x – 8y = -2
Answer:
x=10, y=4
Step-by-step explanation:
3x-3y=18
(-)3x-(-)8y=-(-)2 -3x+8y=2 add to first equation to eliminate x
5y=20
y=4
substitute y with 4
3x-3(4)=18
3x=30
x=10
x=10,y=4
Find the value of the function sin Find the value of the function sin 310 a. –0.766044443119 c. 0 b. 0.850887688656 d. 0.003225800857
Answer:
b. 0.850887688656
Step-by-step explanation:
Unless the argument of the sine function is specified in degrees or some other angle unit (revolutions, grads, minutes, seconds), it must be assumed to be radians. Here, the argument 310 is not shown as 310°, so we must assume it is 310 radians.
sin(310) ≈ 0.850887688656
__
Additional comment
sin(310°) ≈ –0.766044443119
A radian is dimensionless, indistinguishable from a pure number.
What is this word phrase as a math expression? 4 times the sum of a number and 11
1 point
4(x + 11)
4x + 11
4 + (x + 11)
4x + 11 x
Answer:
i think that the correct answer is 4x+11
squared root of -100 = ____ + ____^i
Step-by-step explanation:
thats way of multiplication not 56
Answer:
√−100 = 0 + 10 i
Step-by-step explanation:
What is the value of x?
Answer:
x = 10.
Step-by-step explanation:
(5x-1) + (8x+5) + (4x+6) = 180 (the 3 angles in a triangle sum to 180 degrees).
5x + 8x+ 4x - 1 + 5 +6 = 180
17x + 10 = 180
17x = 170
x = 10.
Pls look at the picture for question.
Answer:
Only option A is correct
Step-by-step explanation:
Positive numbers are always greater than negative numbers no matter the quantities. Also, the greater the negative number is, the less it becomes.
Hope this helps :D
points frreeeeeeeeeeeee :)
Answer:
thx m8
Step-by-step explanation:
:)
Answer:
No idea but ok
In a randomly generated list of numbers from 0 to 4, the chance that each
number can occur is 1/5? True or false
The triangle and rectangle belowhave the same area what is the value of w?
(I[m Assuming W =10cm)
the formula for area of a triangle is 1/2 times the base (4 cm) times the height (5 cm) so the area of the triangle would be 10 cm. to find the area of the rectangle you would divide 10 by 4, which means that w=2.5 cm
3 2/3 + 2.3 =
5
5 2/3
6
6 1/3
2.3 is the same as 2 1/3 is the same as 7/3
3 2/3 is the same as 11/3
11/3+7/3=18/3
18/3=6
Answer:6
what is rational exponent of -(49)1/2?
[tex] {7}^{2( \frac{1}{2}) } \\ [/tex]
Cancel the common factor of 2.
[tex] {7}^{1} [/tex]
Evaluate the exponent[tex] \:= 7[/tex]