Answer:
aₙ = 5*(1/5)^(n - 1)
Step-by-step explanation:
The recursive relation for a geometric sequence is:
aₙ = aₙ₋₁*R
where R is the common ratio.
We could write this in a general form as:
aₙ = a₁*(R)^(n - 1)
where a₁ is the first term of the sequence.
In this case we know that:
R = 1/5
And that:
a₆ = 1/625
Then we can replace these values in the above relation to get:
a₆ = (1/625) = a₁*(1/5)^(6 - 1) = a₁*(1/5^5) = a₁*(1/3125)
1/625 = a1*(1/3125)
(3125/625) = a1 = 5
Then the formula will be:
aₙ = 5*(1/5)^(n - 1)
Representative: “I am planning to attend a company-paid conference. My charges will include $412.00 for airfare, $378.00 for conference registration, and $210.00 for food.” Supervisor: “Please submit an expense form for a total of __________ when you return.”
When he returns, the total will be "$1,000".
Given charges are:
For airfare,
= $412.00
For conference registration,
= $378.00
For food,
= $210.00
The total charges will be:
= [tex]Airfare+Conference \ registration+Food[/tex]
= [tex]412+378+210[/tex]
= [tex]1,000[/tex] ($)
Thus $1,000 is the right answer.
Learn more:
https://brainly.com/question/18057159
3. To make purple frosting, you start with white frosting.
Then you add 2 drops of red food coloring and 3 drops of
blue food coloring. If 4 red drops come out with the first
squeeze, how many blue drops should you add?
==================================================
Explanation:
We basically mix red and blue to get purple. The ratio needed is 2 parts red, and 3 parts blue. We can shorten this by writing 2:3
Note how we can double both parts of the ratio to get 4:6, showing that 4 drops of red correspond to 6 drops of blue, which is the answer we want.
------------------
Another approach:
x = some positive real number
(2 parts red)/(3 parts blue) = (4 parts red)/(x parts blue)
2/3 = 4/x
2x = 3*4 .... cross multiply
2x = 12
x = 12/2 .... divide both sides by 2
x = 6
So 6 drops of blue go with 4 drops of red.
PLEASE I WILL GIVE BRAINlEST ANSWER
"I’m thinking of a number. When I divide my number by four and add seven I get thirteen."
What’s my number? Show your work and explain how you know your answer is correct.
Answer:
The number is 24
Step-by-step explanation:
This can be written algebraically as: [tex]\frac{x}{4}+7=13[/tex]
Solve for x, in which the steps are shown below.
Thanks for the question! :)
Question is below thanks
Answer:
33.51
Step-by-step explanation:
There's a formula using the value of the angle but I don't remember it so the most easy way is:
A circle has an angle of 360°
so our section has an angle of 60
and we know that 360=60*6
so the area of the circle we divide it by 6 and we get the area we want
[tex]A=\pi r^2\\\\A=\pi (8)^2\\\\A=64\pi[/tex]
divide this by 6
[tex]A_1=A/6=64\pi/6\approx 33.51[/tex] units squared
Answer:
33.51
Step-by-step explanation:
hope it helps
What is the answer to this radical functions equation ASAP
What is 4 2/5 times 2 2/3
HELP ASAP
what are the root functions?
What is the sum of 4.3943 and 5.4157?
A.9.71
C. 9.81
B.9.72
D.9.82
Answer:
9.81
Step-by-step explanation:
You have to add them up: 4.3943 +
5.4157
----------
9.8100
Use mental math to solve the equation.
5) C-(-15) = 38
7) Write a pairs of negative intogoro
Theresa and her mother made homemade salsa. They made 4.5 quarts of salsa. They are going to store the salsa in pint-sized jars.
Calculate how many pint-sized jars Theresa will need to store 4.5 quarts to pints.
O 5 jars
O 6.5 jars
09 jars
O 12 jars
Answer:
9 pint sized jars
Step-by-step explanation:
There are two pints to the quart. 2x4=8, so there is 8 pints per 4 quarts. If one pint is the same as half a quart, we can write a pint as 0.5 quarts. So, there are 9 pints to 4.5 quarts.
Answer:
9 jars
Step-by-step explanation:
there are 2 pints in a quart so 4.5x2=9
28.2% of 92 this is for math
Hey there!
Usually when you come across the word “of” in mathematical problems , it simply means that you’re multiplying
So we can simply multiply 28.2% from 92
28.2% = 28.2/100 = 0.282
New equation
0.282 * 92 = the answer
0.282 * 92 = 25.944
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
Jake decides to mow lawns for the first two weeks in June to earn money to buy a new bicycle . If the bicycle cost $153.73 and jake chargers $10.25 to mow each lawn, how many lawns will he need to mow in two weeks to buy the bicycle?
Answer:
14
Step-by-step explanation:
Do any of you guys know the answers to these! Need help
Answer:
(16) 0 (17) 36
Step-by-step explanation:
8-3 = 5
5x5 = 25
25 / 25 = 1
1 - 1 = 0
and 81 / 9 x 4 = 9 x 4 = 36
Answer:
0 and 36
Step-by-step explanation:
16
25 ÷ (8 - 3)² - 1 ← evaluate parenthesis
= 25 ÷ 5² - 1 ← evaluate exponent
= 25 ÷ 25 - 1 ← evaluate division
= 1 - 1
= 0
17
[tex]\frac{4}{9}[/tex] × 81 = 4 × 9 = 36
Which expression is equivalent to one over three p + 15?
one over three(p + 45)
one over three(p + 5)
3(p + 45)
3(p + 5)
Answer:
1/3p + 5
Step-by-step explanation:
1/3 of 15 is 5
If you think in terms of multiplication: 3 groups of 5 is 15 so 1 group of 15 would be 5
Answer:
a) 1/3 (p+45)
Step-by-step explanation:
that's the answer
35 points plz help
Evaluate −4(14)6x for x=13.
Enter your answer as a fraction in simplest form in the box.
Answer:
-15228
Step-by-step explanation:
Given the expression :
-4(14)6x for X = 13
To evaluate ; simply substitute 13 for X in the equation :
-14(14)6(13)
-14 * 14 * 6 * 13 = - 15228
Plezzzzzwzzzzzzzz help
Answer:
[tex] 3 - a [/tex]
Step-by-step explanation:
Given that when you add two numbers together the result is 3.
The greater of the number is given as a.
Let "x" represent that lesser number.
Thus:
[tex] a + x = 3 [/tex]
To make x the subject of the formula. Subtract a from both x.
[tex] a + x - a = 3 - a [/tex]
[tex] x = 3 - a [/tex]
Therefore, the expression that represents the lesser number, x, is:
[tex] 3 - a [/tex]
Which statement can you conclude is true from the given information?
Answer:
angle IJA is a right angle
John made 3 out of 12 attempted baskets in the game. What percentage of the shots did he make?
Answer:25 percent
Step-by-step explanation:
Answer:
25%
Step-by-step explanation:
3/12 as a present is 25%
Which expression is equivalent to 42 + 12? 7(6+5) 2(40+6) 6(7+2) 10(32+2)
Answer:
6(7+)
Step-by-step explanation:
1) Start by solving the original equation
42 + 12 = 54
2) Solve the other equations until you find a match
2a) Start with what's in the parenthesis
7(6+5) = 7(11) = 77
2b)
2(40+6) = 2(46) = 92
2c)
6(7+2) = 6(9) = 54
This is your answer
2d)
10(32+2) = 10(34) = 340
Answer: 6(7 +2)
Step-by-step explanation:
Calculate 42 + 12, which is 54.
Calculate 7(6 + 5), which is 7 * 11 = 77.
Calculate 2(40 + 6), which is 2 * 46 = 92.
Calculate 6(7 + 2), which is 6 * 9 = 54.
Calculate 10(32 + 2), which is 10 * 34 = 340.
And, we can conclude the expression 6(7 + 2) is equivalent to 42 + 12.
Draw the graph of y = 2x + 1
Answer:
Draw a dot at (0, 1)
Draw dot at (-1, -1)
Draw dot at (1, 3)
Connect the dots with a straight line
Step-by-step explanation:
The given equation is in slope-intercept form (y = mx + b). In this form, m is the slope and b is the y-intercept (where the line crosses through the y-axis).
The slope is 2, also written as [tex]\frac{2}{1}[/tex]. This means that the line goes up 2 units for each 1 unit to the right.
What is the y-value of the solution of the system of equations given below?
3x + 2y = -6
y = 2x + 4
Eight friends go to the movies. The price for each ticket is
$7.99. One person thinks the total for all eight people will
be around $50.00.
Is this a reasonable estimate? Why?
OA. Yes, a reasonable estimate is around 5- $10 = $50.
B. No, a reasonable estimate is around 5 $8 = $40.
C. No, a reasonable estimate is around 8 $8 = $64.
OD. No, a reasonable estimate is around 8-$9 = $72.
Answer:The answer is C....
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
A store buys purses for $24.50 and then marks them up 25%. The store then discounts any purses that do not sell in the first month by 10%. Find the sales price of the purse that do not sell in the first month
Answer:$27,57
1)find out how much wallets cost in the first month:
24,50 -100%
х - 125%
х= 24,50*125/100 ≈ 30,63
2)we will find out how much the wallets cost after the price is reduced by 10%:
30,63 - 100%
х -90%
х=30,63*90/100 ≈ 27,57
Step-by-step explanation:
Type the correct answer In each box.
What are the values of x and y that make the equations true?
Equation A
(x + yi) + (4 – 7i) = 3 - 4i
Equation B (x + yi) - (-6 + 14i) = 18 + 2i
In equation A, x =
and y =
In equation B, r =
and y =
9514 1404 393
Answer:
A: x = -1 and y = 3
B: x = 12 and y = 16
Step-by-step explanation:
In each case, you can add the opposite of the constant to find the variable.
Equation A
(x +yi) +(4 -7i) = (3 -4i)
(x +yi) +(4 -7i) -(4 -7i) = (3 -4i) -(4 -7i) . . . . . add -(4-7i) to both sides
x +yi = (3 -4) +(-4-(-7))i = -1 +3i
x = -1 and y = 3
__
Equation B
(x +yi) -(-6 +14i) = (18 +2i)
(x +yi) -(-6 +14i) +(-6 +14i) = (18 +2i) +(-6 +14i) . . . . . add (-6 +14i) to both sides
x + yi = (18 -6) +(2 +14)i = 12 +16i
x = 12 and y = 16
Answer:
In equation A: x=-1 and y=3
In equation B: x=12 and y=16
Step-by-step explanation:
Bea's catering charges $3 per person and a $60 clean-up fee to cater banquets. Write an equation to find the number of students (n) that could attend the French clubs banquet if they had a budgeted $200 for catering
Answer:
The required equation will be:
200 = 3n + 60Step-by-step explanation:
We know the slope-intercept form of the line equation
[tex]y = mx+b[/tex]
where 'm' is the slope or rate of change and 'b' is the y-intercept of the equation
Let 'n' represents the number of students (n).Let 'c' represents the cost budget.Given that Bea's catering charges $3 per person.
Thus, the slope or rate of change = m = 3 dollars per personGiven that the clean-up fee to cater banquets = $60
In other words, $60 is the initial condition or y-intercept.
Thus, the y-intercept b = 60Given that the cost budget = c = $200
Thus, the equation becomes
c = mn+b
substituting c = 200, m = rate of cgange = 3, b = 60
200 = 3n + 60 ∵ comparing with y = mx+b
Thus, the required equation will be:
200 = 3n + 60The equation that determines the no of students should be 200 = 3n + 60
Equation need to be used:Here we assume n be the number of students
And, c be the the cost budget.
So, we know the equation should be formed by applying the following expression
c = mn+b
Here c = 200, m = r = 3, b = 60
Therefore, the equation is 200 = 3n + 60
Hence, The equation that determines the no of students should be 200 = 3n + 60
Learn more about an equation here; https://brainly.com/question/18510004
In the diagram m<3 = x +30 and m<4= 2x - 80. What is the measure of angle 3?
A)50
B)80
C)110
D)140
Answer:
110,........................
{(-3.7).(-5, -8), (-6, -1). (-9, -1), (0, -3) }
Domain:
Range
Function?
State if it is a function or not
Answer:
The domain is the set of all the values of x, so it would be -3, -5, -6, -9, 0. The range would be every set of y, so it would be 7, -8, -1, -3. Finally, this relation is indeed a function.
Domain: -3, -5, -6, -9, 0
Range: 7, -8, -1, -3
Is it a function? Yes
how do you find a slope
Answer:
rise/run
Step-by-step explanation:
rise meaning the y value, run meaning the x value
Which of the following statements are not proportional?
5/4 = 10/8
7/5 = 35/25
2/3 = 12/18
4/6 = 9/12
Answer:
4/6 = 9/12 is not proportional
Step-by-step explanation:
What investment/savings options has the greatest risk?