Answer:
6 1/4
Step-by-step explanation:
Complete the recursive formula of the arithmetic sequence 12, 10, 8, 6,...12,10,8,6,...12, comma, 10, comma, 8, comma, 6, comma, point, point, point.
b(1)=b(1)=b, left parenthesis, 1, right parenthesis, equals
b(n)=b(n-1)+b(n)=b(n−1)+b, left parenthesis, n, right parenthesis, equals, b, left parenthesis, n, minus, 1, right parenthesis, plus
Complete Question:
Complete the recursive formula of the arithmetic sequence 12, 10, 8, 6, ....
[tex]b_1 = [\ ][/tex]
[tex]b_n = b_{n - 1} + [\ ][/tex]
Answer:
[tex]b_1 = 12[/tex]
[tex]b_n = b_{n-1} - 2[/tex]
Step-by-step explanation:
Required
Complete:
[tex]b_1 = [\ ][/tex]
[tex]b_n = b_{n - 1} + [\ ][/tex]
From the question, the first term is 12.
So:
[tex]b_1 = 12[/tex]
Solving further:
[tex]b_2 = 10 = 12 - 2 = b_1 - 2[/tex]
[tex]b_3 = 8 = 10 - 2 = b_2 - 2[/tex]
[tex]b_4 = 6 = 8 - 2 = b_3 - 2[/tex]
Following the above sequence:
[tex]b_n[/tex] can then be calculated as
[tex]b_n = b_{n-1} - 2[/tex]
The combined of a pair of congruent rectangles can be represented in square units by the expression 18y^2 - 8
Answer:
2(3y+2)(3y−2)
Step-by-step explanation:
Consider the expression 40+24 Find the greatest common factor of the two numbers and rewrite the expression using the distributive property
Answer:
Greatest Common Factor of 40+24 is 8
Rewriting the expression using the distributive property we get 8(5+3) =8(5)+8(3)
Step-by-step explanation:
We need to F=find the greatest common factor of the two numbers 40+24 and rewrite the expression using the distributive property
Greatest Common Factor:The greatest number that is divisible by both numbers is known as greatest common factor.
So, Greatest Common Factor of 40+24 is 8
Now, Taking 8 common we get: 8(5+3)
Distributive property:It is written as: a(b+c) = ab+ac
So, we have 8(5+3) =8(5)+8(3)
Rewriting the expression using the distributive property we get 8(5+3) =8(5)+8(3)
i can you help me build the equation
i can graph it though :)
Answer:
x + 5y ≤ 30
Step-by-step explanation:
find the value of x for which
З(2^x-3) = 384
Answer:
x=log2(131)
Step-by-step explanation:
3(2^x-3)=384
x=7.03342
i don't know this question but i have made it by photomath app.
you can get it from playstore
Solve and Simplify if you can
Alexa is baking a cake. She uses 2 3/4 cups of flour for her recipe. She decides to double her recipe. How many cups of flour will see need?
Answer:
5 1/2 cups
Step-by-step explanation:
2.75 times 2
Solve for y in the equation C = 5x² +y
Answer:
y=C-5x^2
Step-by-step explanation:
What is the value of 599 x (400+37)?
Answer:
261763
Step-by-step explanation:
599*437
=261763
9
Are the expressions below equivalent? How do you know?*
(3 Points)
8x + 16 versus 4(2x + 4)
Enter your answer
Answer:
Step-by-step explanation:
these expressions are equivalent
4(2x+4)= 8x+16 after multiplying 4 with 2x+4
Answer:
yes
Step-by-step explanation:
Yes. If I substitute a number for x, the result is the same.
Simplify the following expression.
-6 + 5 x 2 + 10 x (-2)
Answer:
= -16
Step-by-step explanation:
You will use the Please Excuse My Dear Aunt Salley method (Paranthesis, mutiplication, division, addition, and subtraction)
-6 +5 x 2 +10 x (-2)
-6 +10 -20 (a positive times a negative equals a negative)
= -16
Step-by-step explanation:
-6 + 5 x 2 + 10 x ( -2 ) PEMDAS
-6 + 10 + -20 Parensthesis, Exponents, Multiplication & Division
4 - 20 left to right, Addition & Subtraction left to right.
-16.
what is 5x + 4x
and find the coefficient
Answer:
9x
9 is the coefficient
Step-by-step explanation:
5x + 4x
These are like terms (they both have the same variable (x))
5x + 4x = 9x
The coefficient is 9, since it's the number in front of a variable.
Hope this helped!
They have an opportunity to buy 50 acres adjacent to their farm for $800 per acre. In the past, the price of farmland has gone up 3% a year. If this continues, how long will it be before the land is worth at least $1000 per acre?
Answer:
About 8 years
Step-by-step explanation:
3% of $800 is $24
$24 x 8 is $192 add that to the $800 and you get $992
Pls help I’ll brainlest pls help
Answer:
67.31
Step-by-step explanation:
27% of $53 is 14.31
$53+$14.31=$67.31
Answer:
$68.05
Step-by-step explanation:
To find out what the total cost of the meal is, multiply 1.07 by 53 * 1.2. I'd multiply 53 by 1.2 first, then multiply the product of that by 1.07.
(53 * 1.2) * 1.07 (Convert 1.2 into 6/5, and 1.07 into 107/100.)
((53 * 6)/5) * 107/100 (Multiply 53 by 6 to get 318.)
318/5 * 107/100 (Cross cancel if needed.)
159/5 * 107/50 (Multiply 159 by 107 to get 17013.)
17013/(5 * 50) (Multiply 5 by 50 to get 250)
17013/250 (Divide 17013 by 250 to get 68.052)
68.052 (Round to the nearest cent)
The meal costs $68.05 in total.
Pls help I need a good grade
Answer:
y=3/2x
Step-by-step explanation:
Slope is 3/2 and starts at the origin.
Any help? Bsbhsjsjsjjsjsjsjsjjsjsjsjsjsjsjs
The table shows the amount of gasoline g (in gallons) left in your tank after you travel m miles.
Miles, m Gallons, g
0 20
20 19
40 18
60 17
A) Write a linear function that relates the amount of gasoline to the traveling distance.
B) How many gallons of gasoline are left after you drive 120 miles?
Answer:
A) [tex]y=-\frac{1}{20}x+20[/tex]
B) 14 gallons of gasoline
A linear function that relates the amount of gasoline to the traveling distance is : y = - (1/20)x + 20 and the gallons of gasoline left after you drive 120 miles will be 10 gallons.
What is a mathematical function, equation and expression?function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.equation modelling : Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis and results of the given problemGiven is a table shows the amount of gasoline [g] (in gallons) left in your tank after you travel [m] miles.
The given table is -
Miles [m] Gallons [g]
0 20
20 19
40 18
60 17
We can write the linear function as -
y = mx + c
We can write the slope as -
m = {(19 - 20)/(20 - 0)}
m = (- 1/20)
At [x] = 0, then [y] = 20. So, the equation will be -
y = (-1/20)x + 20
y = - (1/20)x + 20
At [x] = 120 miles -
y(120) = (-1/20 x 200) + 20
y(120) = - 10 + 20
y(120) = 10 gallons
Therefore, a linear function that relates the amount of gasoline to the traveling distance is - y = - (1/20)x + 20 and the gallons of gasoline left after you drive 120 miles will be 10 gallons.
To solve more questions on functions, expressions and polynomials, visit the link below -
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A solution set always includes
A
all the numbers that make the inequality false.
B
all the numbers that make the inequality true.
zero and infinity.
D
negative infinity
Answer:
B, all the numbers make the inequality true:).
Step-by-step explanation:
for what value of the variable the value of the expression 4(5x-8) is 4 more than the value of the expression 2(4-x)
Answer:
For x=2, the expression 4(5x-8) will be 4 more than the expression 2(4-x)
Step-by-step explanation:
Given expressions are;
4(5x-8) and 2(4-x)
For 4 more than the second expression, we will add 4 with second expression.
4(5x-8) = 2(4-x) + 4
20x - 32 = 8 -2x +4
20x + 2x = 12 + 32
22x = 44
Dividing both sides by 22
[tex]\frac{22x}{22}=\frac{44}{22}\\x=2[/tex]
Hence,
For x=2, the expression 4(5x-8) will be 4 more than the expression 2(4-x)
Is this a function ?
What is the slope for y = -4x -8
Answer:
The slope is -4
Step-by-step explanation:
Answer: -4
-4 is the slope because in the equation y=mx+b, m represents the slope.
hope this helps :)
4x +4< 9x +8 Reduce any fraction to the lowest term don’t know your number and don’t use mixed fraction
Answer:
x < - 4/5
Step-by-step explanation:
Given the inequality:
4x +4< 9x +8
Collect like terms :
4x - 9x < 8 - 4
-5x < 4
Divide both sides by - 5
-5x / - 5 < 4 / - 5
x < - 4/5
What is the reason that absolute value is always written as a positive?
Absolute Value is talking about numbers so it must be positive
Absolute Value is like a clock it has only positive numbers
Absolute value does not always have to be positive
Absolute value is talking about distance (Distance from zero); distance is always
measured by positive numbers.
Answer:
Absolute value is talking about distance (Distance from zero); distance is always measured by positive numbers.
What is the slope of a line that is perpendicular to the line with equation 12x+3y=9?
Answer:
The slope would be 1/4.
Step-by-step explanation:
To find the perpendicular slope first you have to set this equation to y
to do this you use the subtraction prop of equality and you will get 12x-9= -3y
then you divide by -3 on both sides to get y by itself
you will get -4x+3=y
now that you know the slope is -4, you must find the negative reciprocal slope of this which means you have to flip the numerator and denominator and make the sign its opposite.
The perpendicular slope would then be 1/4.
I NEED HELP IMMEDIATELY!!!!
I am doing this for math homework and don't know if these equations are proportional or not!
25 points available!
Answer: Looks Proportional
Answer:
The first one is proportional but the second one is not proportional
Step-by-step explanation:
Hope this helps!
A submarine spots a speedboat on the
surface of the water at a 42° angle of
elevation. The sub and the boat are
separated by a straight line distance of
35 feet. How far beneath the surface is
the submarine traveling?
Answer:
Ships A and B are 1,425 feet apart and detect a submarine below them. The angle of depression from ship A to the submarine is 59°, and the angle of depression from ship B to the submarine is 47°.
How far away is the submarine from the two ships? Round to the nearest hundredth of a foot.
The distance from ship A to the submarine is about
feet.
The distance from ship B to the submarine is about
feet.
Step-by-step explanation: answer this and ill answer yours.
Create a dot plot for the given set of data.
1 2 2 3 3 4 4 4 4 5 5
5 5 6 6 6 6 7 7 8 8 8
hope this helps. let me know if you can see what i have attached.
The box- plot is attached below.
What is dot- plot?Data points are represented as dots on a graph with an x- axis and y-axis in a dot plot, sometimes referred to as a strip plot or dot chart, which is a straightforward type of data visualisation. These kinds of graphs are employed to visually represent particular data trends or groupings.
Given:
1 2 2 3 3 4 4 4 4 5 5
5 5 6 6 6 6 7 7 8 8 8
Now, 1 Appears 1 time
2 Appears 2 time
3 Appears 2 time
4 Appears 4 time
5 Appears 4 time
6 Appears 4 time
7 Appears 2 time
8 Appears 3 time
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if three distinct numbers have a sum of 10 and a product of 20, what is their median
Answer:
gfdsgfds
Step-by-step explanation:
fdgdsf
i givvvveeeee brainlilsttttttt
Answer:
thanks
Step-by-step explanation:
your welcome
Juniors will be hosting prom this year. They will need to make at least $ 4000 in profits from selling tickets. The juniors estimate there can be at most 600 students that can attend prom because of the size of the venue. They will profit $ 20 for each ticket sold in advance and $ 40 for each ticket sold at the door. Name your variables, and write a system of inequalities.
Estimate the answer by rounding each fraction to the nearest whole number and then subtracting.
Answer:
5
Step-by-step explanation:
estimated would be 8 - 3
To solve the problem we must know about fractions.
What is a Fraction?A fraction is a way to describe a part of a whole. such as the fraction [tex]\frac{1}{4}[/tex] can be described as 0.25
What is a Mixed Fraction?A mixed fraction is a fraction that contains a whole number and a fraction whose denominator is greater than the numerator.
The solution to this problem is [tex]5\dfrac{13}{40}[/tex].
Given to us
[tex]8\frac{1}{5}-2\frac{7}{8}[/tex]
Converting the mixed fractions to fraction
[tex]8\dfrac{1}{5}-2\dfrac{7}{8}\\\\=\dfrac{(8 \times 5)+1}{5}-\dfrac{(8\times 2)+7}{8}\\\\=\dfrac{41}{5}-\dfrac{23}{8}\\\\[/tex]
Taking LCM,
[tex]=\dfrac{41\times 8}{5\times 8}-\dfrac{23\times 5}{8\times 5}\\\\=\dfrac{328}{40}-\dfrac{115}{40}\\\\=\dfrac{328-115}{40}\\\\=\dfrac{213}{40}[/tex]
Converting to Mixed Fractions,
[tex]=5\dfrac{13}{40}[/tex]
Hence, the solution to this problem is [tex]5\dfrac{13}{40}[/tex].
Learn more about Fraction:
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