Answer:
0.2, 0.21, 0.25 (1/4), 0.2666666 (4/15)
Step-by-step explanation:
Alice is saving her chore money in a bank account. She makes a deposit of $13 in the first month.
Then every month, she deposits $25. Alice forms a sequence of her account balance, An where n
refers to the number of months. Which of the statements are correct about this sequence?
Select all that apply.
Answer:
Option (3) and Option (5)
Step-by-step explanation:
Alice invested $13 in the first month.
Then she deposits $25 every month.
Therefore, sequence formed by the deposit will be an arithmetic sequence.
First term of the sequence will be,
[tex]A_1=13[/tex]
Since, recursive formula formula of a sequence is given by the formula,
[tex]A_n=A_{(n-1)}+d[/tex]
Where 'd' = common difference in each term of the sequence
Recursive formula for the sequence will be,
[tex]A_n=A{(n-1)}+25[/tex]
Since, explicit formula for the arithmetic sequence is represented by the formula,
[tex]A_n=A_1+(n-1)d[/tex]
where n = number of term
d = common difference
Therefore, nth term of the sequence formed will be represented by the explicit formula,
[tex]A_n=13+(n-1)25[/tex]
[tex]A_{10}=13+(10-1)25[/tex]
= 13 + 225
= 238
[tex]A_{8}=13+(8-1)25[/tex]
= 188
[tex]A_{12}=13+(12-1)25[/tex]
= 288
Therefore, Option (3) and Option (5) will be the answer.
What is the area, in square inches, of this kite?
7 in.
5 in.
5 in.
10 in
(pls help)
Step-by-step explanation:
I think its 85in as the area.
your class is having a car wash for a fundraiser. it costs $27.95 for supplies. your class charges $5 per car. write an expression for the profit of the car. find the profit if the class washes 34 cars.
Answer:
5x-27.95=profit
5(34)-27.95
170-27.95
$142.05
Which list shows the number in order from greatest to least? Help asap
Answer:
D
Step-by-step explanation:
write the slope - intercept form of the equation. PLEASE HELP. i will mark brainliest
Answer:
Step-by-step explanation: To find the equation of the perpendicular line, take the reciprocal of the slope with the opposite sign.
For example, the reciprocal of 4/3 is 3/4 and if it's negative, the opposite is positive.
The reciprocal of 2 is 1/2. and if it's positive, the opposite is negative.
The reciprocal of any number or fraction is whatever you multiply it by to get 1. 4 times 1/4 is 1 5/4 times 4/5 is 1. What about 1 ? 1 times 1 is 1. So one is its own reciprocal!
I hope this helps. (we're not supposed to give answers to t e s t s.)
The marked price of a sweater at the clothing store was $24.
During a sale, a discount of 25% was given. A further 15%
discount was given to the customers who have the store's
credit card. How much would a member customer need to
pay for the sweater during the sale if the customer paid with
the store's credit card? Round your answer to the nearest
cent.
Enter the answer
Vocabulary How can you tell when an equation in one variable has infinitely many solutions or no solution? When you solve for the variable, you will end up with a true statement, like 2 = 2, for an equation with no solution. You also will end up with a true statement for an equation with infinitely many solutions. When you solve for the variable, you will end up with a false statement, like 0 = 2, for an equation with no solution. You will also end up with a false statement for an equation with infinitely many solutions. When you solve for the variable, you will end up with a false statement, like 0 = 2, for an equation with no solution. You will end up with a true statement, like 2 = 2 for an equation with infinitely many solutions. When you solve for the variable, you will end up with a true statement, like 2 = 2, for an equation with no solution. You will end up with a false statement, like 0 = 2 for an equation with infinitely many solutions.
Answer: Choice C) When you solve for the variable, you will end up with a false statement, like 0 = 2, for an equation with no solution. You will end up with a true statement, like 2 = 2 for an equation with infinitely many solutions.
For example, let's say we had the equation x = x+2. Subtracting x from both sides leads to 0 = 2 which is a false statement. No matter what we replace x with, the equation x = x+2 is always false. That's why we don't have any solutions here.
For an equation like x + 2 = x + 2, subtracting x from both sides leads to 2 = 2 which is always true. A true equation is one where the same number is on both sides. No matter what we replace x with, the equation will be true. Therefore, there are infinitely many solutions.
To tell when an equation in one variable has infinitely many solutions or no solution;
When you solve for the variable, you will end up with a false statement, like 0 = 2, for an equation with no solution. You will end up with a true statement, like 2 = 2 for an equation with infinitely many solutions.The condition for an equation with no solution warrants that the equation upon evaluation yields a false statement as in the case of 1 = 2. In this case, such an equation has no solution.
The condition for an equation with infinitely many solutions warrants that the equation upon evaluation yields a true statement as in the case of y + 5 = y + 5. In this case, such an equation has infinitely many solution.
Read more;
https://brainly.com/question/11966980
12.009 write in word form
72x2 + 39x + 207 = 0
An 8-quart jug of water costs $6.08. What is the price per cup?
Answer:
$0.19 cents
Step-by-step explanation:
First, find how many cups are in 8 quarts.
1 quart is 4 cups, so to find the number of cups, multiply 8 by 4:
8(4)
= 32 cups
Then, to find the price per cup, divide the cost by the number of cups:
6.08/32
= 0.19
So, the price per cup is $0.19 cents
Slope is known as the run over the rise. True or False
Answer:
false. slope is calculated by rise over run
Answer:
FALSE
Step-by-step explanation:
Slope is known as the RISE OVER RUN.
Can I get brainliest? Plz!!!
Circle circumference
Will mark brainliest
riddle #2
I am a five digit even number.
all of my digits are factor of 24.
4/5 of my digits are even.
The digit in my thousands place equals the perimeter of a 2×2 array.
The digits in my ten thousand places is twice the value of the digits in the hundreds place, but half the value of the digits in the thousands places.
The digit in my tens places equal the number of lines of symmetry in an isosceles triangle.
Answer:
28416
Step-by-step explanation:
No digits can be repeated
"All my digits are factors of 24" This means that the possible digits are: 1, 2, 3, 4, 6, 8
"The digits in my thousands place equals the perimeter of a 2x2 array" That would be 8
"The digits in my ten thousand places is twice the value of the digits in the hundreds place, but half the value of the digits in the thousands place" That would be 4, which also means that the ten thousands place is 2
"The digits in my tens place equal the number of lines of symmetry in an isoceles triangle" There is only 1 lines of symmetry
This means that we have 2841(?)
Because this number is even and no digits can be repeated, the only possible digits from those available is 6
Therefore the number is 28416
how many 7/8 cup servings are in 1/2 cup of juice?
Write an explicit formula for an, the nth term of the sequence 19,24,29
Answer:
explicit formula for an, the nth term of the sequence 19,24,29
[tex]a_1=19 ; \ a_n=a_{n-1}+5[/tex]
Step-by-step explanation:
We need to Write an explicit formula for an, the nth term of the sequence 19,24,29
In the sequence the First term a₁= 19
Common Difference d= 5
The Formula used for explicit formula is: [tex]a_1=First \ term ; \ a_n=a_{n-1}+d[/tex]
Where d is common difference and n is nth term of sequence.
So, explicit formula for an, the nth term of the sequence 19,24,29
[tex]a_1=19 ; \ a_n=a_{n-1}+5[/tex]
-3a-3=-2n+3p solve for a
Answer:
a=−2n3−p−1a=-2n3-p-1
Answer:
a=−2n3−p−1a=-2n3-p-1
Step-by-step explanation:
The first term of a sequence is 9 and the common difference is 5. Which of the following is the fifth term of the sequence?
Answer:
29
Step-by-step explanation:
9+5=14+5=19+5=24+5=29
Please solve: y = 2x + 5... X = 2
Answer:
2,9 or y=9
Step-by-step explanation:
So since x=2, plug it in the equation.
y=2(2)+5
y=9
In a coordinate, it would be 2,9
Answer: y = 9
Step-by-step explanation: Substitute the value of x, which is 2, into the equation. 2 multiplied by 2 equals 4, and 5 plus 4 equals 9, thus y equals 9
Which graph shows a proportional relationship between the number of hours of renting a canoe and the total amount spent to rent the canoe?
Answer:
Uh pick a graph that is straight line and passes through 0
Step-by-step explanation:
You don't have screenshot
Answer:
This would be simaler to the answer
Step-by-step explanation:
A graph is shown. The values on the x axis are 0, 2, 4, 6, 8, 10. The values on the y axis are 0, 18, 36, 54, 72, and 90. Points are shown on ordered pairs 0, 0 and 2, 18 and 4, 36 and 6, 54 and 8, 72. These points are connected by a line. The label on the x axis is Number of Hours. The title on the y axis is Total Amount in dollars.
Can anyone help with this?
Answer:
The answer is B and D.
Step-by-step explanation:
I hope this helped and if it did I would appreciate it if you marked me brainliest. Thank you and have a nice day!
89.36 in word form i have it in expanded form not word form though pls help ??????????????????????????????????????????????????????????????????????///
Answer:
eighty-nine and thirty-six hundredths
or, simpler:
eighty-nine point thirty-six
or, even simpler:
eighty-nine point three six
Answer:
eighty-nine and thirty-six hundredths
Step-by-step explanation:
Use the Chain Rule to find the indicated partial derivatives. w = xy + yz + zx, x = r cos(θ), y = r sin(θ), z = rθ; âw âr , âw âθ when r = 4, θ = Ï2
Answer:
δw/δr = 4π
δw/δθ = -8π
Step-by-step explanation:
Given the following functions
w = xy + yz + zx, x = r cosθ y = r sinθ, z = rθ where r = 4 and θ = π/2
We are to find δw/δr and δw/δθ
δw/δr = δw/δx•δx/δr + δw/δy•δy/δr + δw/δz•δz/δr
δw/δx = y+z
δx/δr = cosθ
δw/δy = x+z
δy/δr = sinθ
δw/δz = y+x
δz/δr = θ
Substitute the given values into the formula
δw/δr = (y+z)cosθ+(x+z)sinθ+(y+x)θ
Substitute the value of x, y and z in terms of theta into the resulting function
δw/δr = (y+z)cosθ+(x+z)sinθ+(y+x)θ
δw/δr = (rsinθ+rθ)cosθ+(rcosθ+rθ)sinθ+(rsinθ+rcosθ)θ
Substitute r = 4 and θ = π/2
δw/δr = (4sinπ/2+4π/2)cosπ/2+(4cosπ/2+4π/2)sinπ/2+(4sinπ/2+4cosπ/2)π/2
Note that cos π/2 = 0 and sinπ/2 = 1
δw/δr = (4+2π)(0)+(0+2π)(1)+(4(1)+4(0))π/2
δw/δr = 0+2π+4π/2
δw/δr = 2π+2π
δw/δr = 4π
For δw/δθ
δw/δθ = δw/δx•δx/δθ + δw/δy•δy/δθ + δw/δz•δz/δθ
δw/δx = y+z
δx/δθ = -rsinθ
δw/δy = x+z
δy/δθ =rcosθ
δw/δz = y+x
δz/δθ = r
Substitute the given values into the formula
δw/δθ = (y+z)-rsinθ+(x+z)rcosθ+(y+x)r
Substitute the value of x, y and z in terms of theta into the resulting function
δw/δθ = (y+z)-rsinθ+(x+z)rcosθ+(y+x)r
δw/δθ = (rsinθ+rθ)-rsinθ+(rcosθ+rθ)rcosθ+(rsinθ+rcosθ)r
Substitute r = 4 and θ = π/2
δw/δθ = (4sinπ/2+4π/2)-4sinπ/2+(4cosπ/2+4π/2)4cosπ/2+(4sinπ/2+4cosπ/2)(4)
Note that cos π/2 = 0 and sinπ/2 = 1
δw/δθ = (4+2π)(-4)+(0+2π)(0)+(4(1)+4(0))(4)
δw/δθ = -16-8π+0+4(4)
δw/δθ = -16+16-8π
δw/δθ = -8π
A stone is dropped into a lake, creating a circular ripple that travels outward at a speed of 70 cm/s. Find the rate at which the area within the circle is increasing after each of the following. A. After 1 second B. After 5 seconds C. After 6 seconds
Answer:
(A) 30772cm^2/s
(B) 153860cm^2/s
(C) 184632 cm^2/s
Step-by-step explanation:
We are given
speed of the ripple = 70cm/s
this speed is increasing the radius which means speed = radius /time
radius = speed*time
r= 70t
Now we know the area of the circle
A = π[tex]r^2[/tex]
this area will be increasing as ripples in water will spread out
upon differentiating
dA/dt = 2πr * [tex]\frac{dr}{dt}[/tex]
dA/dt = 2π*70t*70 ( r= 70t , dr/dt = speed = 70)
dA/dt = 9800π*t
(A) after 1 second
dA/dt = 9800π*1=9800π = 30772cm^2/s
(B) after 5 seconds
dA/dt = 9800π*5 = 153860cm^2/s
(C) after 6 seconds
dA/dt = 9800π*6 = 184632 cm^2/s
calculate (4-7i)-(-3+6i)
Answer:
7 - 13i
Step-by-step explanation:
1. Distribute the negative in front of (-3+6i)
2. Combine like terms
Solve for x in the diagram shown.
e
A)
2.67
B)
4.5
5.625
D)
34.375
E)
225
Answer:
C
Step-by-step explanation:
I just took the USATP.
Answer:
D) 34.375
Step-by-step explanation:
I literally just took usatestprep yall need to stop putting wrong answers pls
Which of the following rates are proportional to $3.85 per 1 pound? Select all that apply.
HELP STAT
A) 5 pounds for $19.25
B) $7.70 for 2 pounds
C) 4 pounds for $15.10
D) $10.00 for 3 pounds
E) 10 pounds for $38.50
F) $28.75 for 9 pounds
Find the value of x.
The angle measures of 2 x degrees, 90 degrees, and x degrees sum to 180 degrees.
Answer:
x = 30°
Step-by-step explanation:
2x + 90 + x = 180
3x = 90
x = 30
Topic: Angles
If you would like to venture further, you can check out my Instagram page (learntionary) where I post notes and mathematics tips. Thanks!
Answer:
[tex] \huge{ \boxed{ \bold{ \tt{x = 30 \degree}}}}[/tex]
♨ Step - by - step explanation
☯ Given angles :
2x° , 90° , x°☯ To find :
Value of x✎ Set up an equation and solve for x :
[tex] \sf{2x \degree \: + 90 \degree \: + \: x \degree = 180 \degree}[/tex]Add the like terms. Remember that Only coefficients of like terms can be added or subtracted.
➺ [tex] \sf{3x \degree + 90 \degree = 180 \degree}[/tex]
Move 90° to right hand side and change it's sign
➺ [tex] \sf{3x \degree = 180 \degree - 90 \degree}[/tex]
Subtract 90° from 180°
➺ [tex] \sf{3x \degree = 90 \degree}[/tex]
Divide both sides by 3
➺ [tex] \sf{ \frac{3x \degree}{3} = \frac{90 \degree }{3} }[/tex]
➺ [tex] \boxed{ \sf{x = 30 \degree}}[/tex]
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❑ Rules for solving an equation
If an equation contains fractions , multiply each term by the LCM of denominators.Remove the brackets, if any.Collect the terms with the variable to the left hand side and constant terms to the right side by changing their signs ' + ' into ' - ' and ' - ' into ' + '.Simplify and get the single term on each side.Divide each side by the coefficient of variable and then get the value of variable.Hope I helped!
Have a wonderful time ! ツ
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Please give the right answer
Answer:
Just do 180-48!!
The answer is 132 degrees
Step-by-step explanation:
Write the equation of the line through the points (4,5) and (12,9)
Answer:
y - 9 = 1/2 (x - 12)
Step-by-step explanation:
find slope:
9-5 = 4, 12 - 4 = 8, slope = 1/2
put in point-slope form:
y - 9 = 1/2 (x - 12)
helppppp please I will give brainliest
Answer:
y=1/3x-2
Step-by-step explanation: