9514 1404 393
Answer:
t(n) = -n^2 -n +102
Step-by-step explanation:
We can use the first 3 terms to find a, b, c.
a(1)^2 +b(1) +c = 100
a(2)^2 +b(2) +c = 96
a(3)^2 +b(3) +c = 90
Subtract the first equation from the other two:
3a +b = -4 . . . . . . [eq4]
8a +2b = -10 . . . . [eq5]
[eq5] can be reduced to
4a +b = -5 . . . . . . [eq6]
Subtracting [eq4] from [eq6] gives ...
(4a +b) -(3a +b) = (-5) -(-4)
a = -1 . . . . . . . . simplify
Filling that into [eq4], we get
3(-1) +b = -4
b = -1 . . . . . . . add 3
Putting the values for 'a' and 'b' into the first equation gives ...
-1 +-1 +c = 100
c = 102
Then the n-th term t(n) of the sequence is ...
t(n) = -n^2 -n +102
_____
Additional comment
As you might guess, there is a generic solution for quadratic sequences. In terms of the first term (a1), first first difference (d1), and second difference (d2), the coefficients can be written as ...
a = d2/2b = d1 -3ac = a1 -d1 +d2This sequence has first differences of -4, -6, -8, -10, and second differences of -2. Putting the sequence values into the above formulas, we find ...
a = -2/2 = -1b = -4 -3(-1) = -1c = 100 -(-4) +(-2) = 102 . . . . . as aboveWhat is the number in the sequence below 81,27,9,3,_
Answer:
Step-by-step explanation:
The next number is 1. Divide 3 by 3 as you have done in the previous numbers.
What is the range of the function y = x2?
The range of the function y = x2 is all real numbers, y, such that y ≥ 0.
If sum of three consecutive integers is less than 75 ,what is the greatest possible value of smallest one
Answer:
The greatest possible value of smallest one is 23.
Hope it helps :D
Simplify the given fraction. 60/20
Answer:
3
Step-by-step explanation:
You simplify the fraction from the numerator to the denominator. For instance: 60÷20=3
What is 61 divided by 5,441 (long division)
9514 1404 393
Answer:
0.01121117 (to 8 decimal places)
Step-by-step explanation:
The long division tableau is shown in the attachment. The decimal fraction has a 2720-digit repeat.
Find the perimeter. Simplify your answer
Answer:
23y-8
Step-by-step explanation:
First add together all of the terms that are next to a variable:
2y+10y+5y+6y=23y
Then add together all of the integers that are alone:
-9+10+(-7)+(-2)= -8
Add the two terms together and you get:
23y-8
Find the midpoint between (-1,5) and (7,-8).
Answer:
(4,-1). ................
..............................
You buy halibut at $18 per pound. One portion of seared halibut requires 6 ounces of halibut. How much does the halibut for one portion cost?
The appropriate answer will be "$6.75".
According to the question, the value is:
1 pound of halibut cost,
= $18
We know that,
1 pound = 16 ounceTherefore,
16 ounce of halibut cost will be,
= $18
hence,
→ The 6 ounce if halibut will cost,
= [tex]\frac{18}{16}\times 6[/tex]
= [tex]\frac{108}{16}[/tex]
= [tex]6.75[/tex] ($)
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0.000000000753 scientific notation
[tex] \large \mathfrak{Answer : }[/tex]
The scientific notation for above number is :
[tex]7.53 \times 10 {}^{ - 10} [/tex]Answer:
Below
Step-by-step explanation:
To convert this number to scientific notation, you need to move the decimal point until you get to the left of the first non-zero integer :
0.000000000753 = 7.53 x 10^-10
Hope this helps! Best of luck <3
Solve the equation for h?
Answer:
h = V ÷ (πr²)
Step-by-step explanation:
V = π × r² × h
V ÷ π = r² × h
V ÷ π ÷ r² = h
h = V ÷ (πr²)
Suppose a city with population 700,00 has been growing at a rate of 7% this rate continues, find the population of this city in 19 years
Answer:
931000
Step-by-step explanation:
7÷100×19
=1.33 × 700000
=931000
Can anyone message me I am working on math and I am very confused and I need to know some answers. and I don't really care about showing my work I just need to know answers thanks.
Answer:
hieyeuueheyeuuehe 6eyeueuye
Which of the following statements best describes vertical angles? (1 point)
Vertical angles are adjacent angles.
Vertical angles are complementary angles.
Vertical angles are nonadjacent angles.
Answer:
Vertical angles are nonadjacent angles.
Step-by-step explanation:
got it right on a test
The correct answer is vertical angles are nonadjacent angles.
What is vertical angles?Vertical angles are angles that are opposite of each other when two lines cross. Vertical angles are. congruent, meaning that they have the same angle measure.
Which the best statement?When two lines cross, the angles oppose each other. They're constantly on the same level. A° and b° are vertical angles in this example. NOT up/down, "vertical" refers to the vertex (where they cross). Vertically opposed angles is another name for them.Vertical angles are nonadjacent angles.
Learn more about vertical angles-brainly.com/question/24460838
#SPJ2
Consider the functions f(x)=2(0.8)^x
What does the value of f(x) approach as the values of x increase and approach infinity?
Answer:
If x increase so f(x) increase
Find the coordinates of the vertices of each figure after the given transformation.
dilation of 2.5 about the origin
Q(-1,-1), R(-2, 1), S(0, 2), T(2,0)
Step-by-step explanation:
Q(-1,-1), R(-2, 1), S(0, 2), T(2,0)
after dilation, all the numbers should be multiplied by 2.5.
so, the correct answer is d.
Q'(-2.5 ,-2.5), R'(-5, 2.5), S'(0, 5), T'(5,0)
write 7 83/100 as a decimal number
Answer: 7.83
Step-by-step explanation:
83 over 100 is the same as 83 divided by 100. 83/100 = 0.83
7 + 0.83 = 7.83
Answer:
7.83
Step-by-step explanation:
7 is the whole number
83 is the number that goes to the right of the decimal point
the 100(denominator) shows which place value it should be in, in the decimals place.
Show work please I need help asap
Answer:
12. -11
13. 2
Step-by-step explanation:
12. First recall the order of operations (BEDMAS): Brackets, Exponents, Division, Multiplication, Addition, Subtraction
For question 12 there is a division and its priority is before other operations in the equation so you must divide 16/-2 first which gives you -8.
From there because addition and subtraction is on the same level of order, you would do the question straight as it is shown (but replace 16/-2 with -8.
Your new equation is -10-8+7 = -11
13. follow the same as above using BEDMAS. It may help to look at it with additional brackets: ((-68)/(-4)) + ((5 x (-3))
keep in mind there’s an addition between the twoDivision and multiplication is on the same level in BEDMAS so first divide -68/-4 = 17
Second multiply 5 x -3 = -15
Now you can combine the two answers using addition: 17 + (-15) = 2
S = 2lw + 2wh + 2hl, solve for h (surface area of a rectangle)
Answer:
h = (S - 2lw)/(2w + 2l)Step-by-step explanation:
Given formula:
S = 2lw + 2wh + 2hlSolve for h:
2wh + 2lh = S - 2lwh(2w + 2l) = S - 2lwh = (S - 2lw)/(2w + 2l)Answer:
[tex]s = 2lw + 2wh + 2hl \\ s = 2(lw + wh + hl) \\ \frac{s}{2} = lw + wh + hl \\ \frac{s}{2} - lw = h(w + l) \\ h = \frac{ \frac{s}{2} - lw}{w + l} \\ thank \: you[/tex]
Need helpppppppppppppp
Answer:
35.24, hope that helps :)
Answer:
38.85 percent
Step-by-step explanation:
hope this helps you
It’s blurry but can someone answer this
Answer:
10
Step-by-step explanation:
12/x+y Just plug in a 4 instead of x and a 7 instead of a y
=12/4+7
=3+7
=10
10 !
Subsitute the x and y with the numbers
Homespun Jellies charges $8.50 for each jar of preserves. Shipping and handling charges are $3.75 for each order
plus $0.65 per jar.
1. Find a function C that models the cost of buying and shipping x jars of preserves. Write the function using
appropriate function notation. Simplify the expression on the right side of your function if possible.
Function defining the cost of buying and shipping will be represented by,
C(x) = ax + b
Here, a = price of one jar, b = shipping charges and x is the price of jar preserve
Function representing the cost C for buying and shipping 'x' jars of preserves will be,
C = $(9.15x + 3.75)
It's given in the question,
Homespun Jellies charges $8.50 for each jar of preserves.Let the number of jars purchased = x
Therefore, charges for 'x' jars = $8.50x
Shipping and handling charges for each order = $3.75 plus $0.65 per jarSo the shipping and handling charges for shipping 'x' jars = $(3.75 + 0.65x)
Therefore, total charges for shipping and preserving 'x' jars = $(3.75 + 0.65x) + $8.50x
Therefore, function representing the cost C for buying and shipping 'x' jars of preserves will be,
C = $(3.75 + 0.65x) + $8.50x
C = $(9.15x + 3.75)
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On Saturday, 12.4 inches of snow fell. Another 3.725 inches of snow fell on Sunday.
What was the total amount of snow that fell in the two days?
Answer:
16.125
Step-by-step explanation:
Answer:
16.125
Step-by-step explanation:
I took the test in k12, and yes its correct
Help will give Brainly points
Answer:
AAS (Angle Angle Side) shows congruence.
Step-by-step explanation:
Basically if you have Two Angles and a side length, which you do, by rule of congruence the rest of the triangle will be equal because two angles and a side length are equal.
4.3.4 shifting functions
Answer:
answer is
Step-by-step explanation:
for fraction x 3 x 4 x 3 e is equal to 465
One number is 7 more then the other and their sum is 17
Answer:
Let the unknown number be x and the other greater number be x+7
(x+7)+x=17
2x=17-7
x=5
x+7=5+7
=12
Referring to the figure, does the triangle shown have
rotational symmetry?
a. yes
b. no
Referring to the figure, does the triangle shown have
rotational symmetry?
a. yes
b. no
SELECTT EACHHHHHHH CORRECT ANWSERRRR
Answer:
1. the two top drawings
2. B, C
Step-by-step explanation:
1. the two top drawings
2. B, C
Someone help plsss it’s due at 11
Please Help Please !!!!!!!
Answer:
I wish I could but I think its c
Five times the difference of a number and 9 is equal to twice the number plus 15. What is the number?
Answer:
The number is 20
Step-by-step explanation:
Let the number be x
5(x - 9) = 2x + 15
5x - 45 = 2x + 15
5x - 2x = 15 + 45
3x = 60
x = 60/3
x = 20
Answer:
The number is 20
Step-by-step explanation:
Five times the difference of a number and 9
5(x-9)
is equal to twice the number plus 15.
=2x+15
5(x-9)=2x+15
Distribute
5x-45 = 2x+15
Subtract 2x from each side
5x-45-2x = 2x+15-2x
3x-45 = 15
Add 45 to each side
3x-45+45 =15+45
3x = 60
Divide by 3
3x/3 = 60/3
x =20
