Answer:
Tuesday, then Wednesday then Monday were highest to lowest.
Step-by-step explanation:
Tuesday was positive. +°
Wed was zero 0°
Mon was negative -°
Given the sequence.
125, 25, 5, ...
Write the rule an using the geometric sequence formula:
The given sequence follows a geometric pattern, and the common ratio is 0.2. Using the geometric sequence formula, we can find any term in the sequence by substituting the values into the formula.
Explanation:The given sequence 125, 25, 5, ... follows a geometric pattern where each term is obtained by multiplying the previous term by a common ratio. To find the common ratio (r), we divide any term by its previous term. Let's divide 25 by 125 to find the common ratio: r = 25/125 = 1/5 = 0.2.
Now that we have the common ratio, we can use the formula for a geometric sequence:
aₙ = a₁ × r(n-1)
Here, aₙ represents the nth term, a₁ is the first term, r is the common ratio, and n is the term number. Since the first term (a₁) is 125 and the common ratio (r) is 0.2, we can substitute these values into the formula to find the nth term.
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The rule for the given geometric sequence 125, 25, 5, ... is an = 125 × 5(n-1).
Explanation:The given sequence is 125, 25, 5, ...
To find the rule using the geometric sequence formula, we need to determine the common ratio. The common ratio is found by dividing any term by its previous term. Let's take the first two terms: 125/25 = 5. So, the common ratio is 5.
The formula for a geometric sequence is given by: an = a¹ × r⁽ⁿ⁻¹⁾, where an is the nth term, a¹ is the first term, r is the common ratio, and n is the position of the term.
Using this formula with the first term (a¹ = 125) and the common ratio (r = 5), we can find the rule for the sequence. Let's find the rule for the third term: a³ = 125 × 5⁽³⁻¹⁾ = 125 × 5² = 125 × 25 = 3125.
Therefore, the rule for the sequence is: aⁿ = 125 × 5⁽ⁿ⁻¹⁾.
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Rewrite 18/5 as a mixed number.
Answer:
3 3/5
Step-by-step explanation:
Just divide 18 by 5 but rather than putting it in decimal form, it should be in fractional form
Thank me later :)
Answer:
3 3/5
Step-by-step explanation:
18/5
Take 18 and divide by 5
It goes in 3 times 5*3 =15
18-15 =3
This goes over the denominator
3 3/5
What’s the slope of the line that passes through 5,10 and 7,12
Slope of the line passes through (5,10) and (7,12) is 1.
Step-by-step explanation:
Given,
The two points are (5,10) and (7,12).
To find the slope passing through the given points.
Formula
The slope of the line passing through ([tex]x_{1} ,y_{1}[/tex]) and ([tex]x_{2} ,y_{2}[/tex]) is [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
Now, putting [tex]x_{1} =5,y_{1}=10, x_{2}=7, y_{2} =12[/tex] we get,
Slope = [tex]\frac{12-10}{7-5}[/tex] = [tex]\frac{2}{2}[/tex] = 1
Hence,
Slope of the line passes through (5,10) and (7,12) is 1.
Answer:
[tex]to \: find \: the \: slope \: of \: the \: line \\ given \: that \: the \: line \: passes \: through \\ (5,
10) \: and \: (7,12) \\
answer \: is \: \: 1
[/tex]
Step-by-step explanation:
[tex]passing \: through \: (5,10) \: and \: (7,12) \\ slope = \frac{y2 - y1}{x2 - x1} \\ here \: y2 = 12 \: \: and \: \: y1 = 10 \\ x2 = 7 \: \: and \: \: x1 = 5 \\ therefore \: \\ slope = \frac{12 - 10}{7 - 5} \\ = \frac{2}{2} \\ = 1[/tex]
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The largest possible circle is cut out of a square whose side length is 8 feet. What will be the approximate area, in square feet, of the remaining board?
5 FT 2 squared
10 Ft 2 squared
15 Ft 2 squared
20 Ft 2 Squared
Answer:
20ft ^2 (squared)
Step-by-step explanation:
We deduct the circle area from the square area but first find out the radius triangle segment the 1/diagonal of the square. To find the hypotenuse h= c=r
h^2 =c = a+ b
h^2 = 8^2+ 8^2
h^2 =√64 + √64
h^2 =√128 = 11.313708499/3 = 3.77123616633
r= 5.65ft or 5.66ft rounded up
Square area formula = L x W = 8ft x 8ft = 64ft^2
Circle area formula= A=πr2 = (π = 3.14159265359 (3.77123616633x 3.77123616633) = 14.2222222222 x 3.14159265359 = 44.680428851
A = 14.2 x π
A = 44.68ft
64 - 44.68 = 19.32ft^2
The answer must be 20ft ^2 squared.
Kristen recorded the amount of liquid (in ml) of eight containers. She created a box plot of her data. What is the interquartile range
of Kristen's data?
A: 7
B: 13
C:31
D:50
Determine whether each formula is explicit or recursive. Then find the first five terms of each sequence.
a1= 5, an = 3 - a(n-1)
Answer:
5, -2,5,-2,5 Recursive
first to answer correctly gets brainliest
Answer the answer is power if 10
Step-by-step explanation:
What is the diameter of a circle with a circumference of 84.78 inches? Use 3.14 for π. Enter your answer in the box.
Answer:
your answer would be 26.99 or 27
Step-by-step explanation:
Hope this helps
Answer:
d=26.9863
Step-by-step explanation:
to find the diameter divide the circumference by 3.14
hope this helps
stay safe
brainliest is appreciated :))
Sadly, my last question was ignored, so I am asking it again... Can someone please help me? If you answer it, go to my profile and answer the old question too, they are the same. You will obtain 18 points if you answer this question and the identical older one.
Answer:
the picture is blocked on my screen just write it out on my answer
Step-by-step explanation:
Answer:
the theoretical probability is 1/5.
the experimental probability is 3/10.
chances are the experimental probobility will approach the theoretical probobility.
Step-by-step explanation:
since blue is one of five equal sizes, the probobility that it will land on blue is 1/5.
the expiromental probobility is the number of times it landed on blue devided by the number of spins. 15/50. this can be simplified by pulling out a 5, leaving us with 3/10.
last it stands to reason that the more times the spinner is spun the closer the experimental probability will model the theoretical probability.
Solve the following inequality: 6x - 9 ≥ 11x - 17.
1. x<=5/8
2.x>=8/5
3.x>=5/8
4.x<=8/5
Answer:
x ≤8/5
Step-by-step explanation:
6x - 9 ≥ 11x - 17
Subtract 6x from each side
6x -6x-9 ≥ 11x - 17-6x
-9 ≥ 5x- 17
Add 17 to each side
-9+17≥ 5x - 17+17
8≥ 5x
Divide each side by 5
8/5≥ 5x /5
8/5≥ x
The rectangular bed of a truck is 1 9⁄10 meters long, 1 1⁄2 meters wide, and 1⁄2 meter tall. What is the volume of the truck's bed?
Answer:
1 17/40 m^3
Step-by-step explanation:
Volume = l*w*h
= 1 9/10 * 1 1/2 * 1/2
Changing the mixed numbers to improper fractions
1 9/10 = (10*1+9) /10 = 19/10
1 1/2 = (2*1+1)/2 = 3/2
1/2 = 1/2
V = 19/10* 3/2*1/2
=57/40
Changing this back to a mixed number
40/40 + 17/40
1 17/40
Answer:
1 17/40 m³
Step-by-step explanation:
1.9 × 1.5 × 0.5
= 1.425 m³
19/10 × 3/2 × 1/2
= 57/40
= 1 17/40 m³
Use the net to find the surface area of the cylinder.
Give your answer in terms of pi
Answer:
104pi
Step-by-step explanation:
Solve for x: d 28−x 7+x +8=14
solve 49x^2+64=0 by using square roots
Answer:
x = ±i8/7
Step-by-step explanation:
49x^2 +64 = 0
Subtract 64 from each side
49x^2 +64-64 = 0-64
49x^2 = -64
Divide by 49
49x^2/49 =-64 /49
x^2 = - 64/ 49
Take the square root of each side
sqrt(x^2) = ±sqrt(- 64/ 49)
x = ±sqrt(- 64/ 49)
We know sqrt( ab/c) = sqrt(a) sqrt(b)/sqrt(c)
x = ±sqrt(- 1) sqrt(64)/( 49)
We know that the sqrt(-1) = i
x = ±i8/7
The list shows the amount of snow, in inches, that fell each day for 5 days.
8, 3, 12, 1.1
What is the mean daily snowfall?
O
A. 1 inch
O
B. 3 inches
O
c. 4 inches
OD. 5 inches
Answer:
5 inches
Step-by-step explanation:
Answer:
Step-by-step explanation:
1. How are sine functions connected to the unit circle?
2. How are cosine functions connected to the unit circle?
Answer:
1) The sine function relates a real number t to the y-coordinate of the point where the corresponding angle intercepts the unit circle.
2) The secant function is the reciprocal of the cosine function (secx=1cosx) x = 1 cos .The co-secant function is the reciprocal of the sine function (cscx=1sinx) x = 1 sin . It can be found for an angle t by using the y -coordinate of the associated point on the unit circle: csct=1y t = 1 y .
Step-by-step explanation:
Final answer:
Sine and cosine functions are related to the unit circle with their values representing the y and x coordinates of a point on the circle, respectively. They oscillate between +1 and -1, repeating every 2π radians and are used to model simple harmonic motion, differing by a phase shift of π/2 radians.
Explanation:
The sine and cosine functions are directly related to the unit circle, which is a circle with a radius of 1 centered at the origin of a coordinate system. When an angle θ is drawn from the positive x-axis, the coordinates of the point where the terminal side of the angle intersects the unit circle are (cos θ, sin θ).
For the sine function, think of it as projecting the point on the unit circle onto the y-axis. This projection gives the y-coordinate, which is the sine of the angle θ. Therefore, the sine function oscillates between +1 and -1 as the angle θ increases, repeating every 2π radians because this is the circumference of the unit circle.
Similarly, the cosine function is obtained by projecting the point onto the x-axis, providing the x-coordinate or the cosine of the angle θ. It also oscillates between +1 and -1 and repeats every 2π radians. Both sine and cosine functions describe simple harmonic motion when modeling periodic phenomena, and they differ by a phase shift of π/2 radians.
The initial conditions of a sine function with zero phase shift are that the function starts at 0, indicating that, for simple harmonic motion, the initial position is at equilibrium. With a cosine function, the initial value is 1 when the phase shift is zero, indicating that the motion starts at its maximum displacement. This concept can also be used to model wave functions and determine scalar components using triangles.
Consider the diagram below and find the measure of angle CGE
Answer:
Step-by-step explanation:
B: 61
If x=2 and y=4 what is the answer to 3x + 2y + 4
Answer:
Step-by-step explanation:
x = 2 ; y = 4
3x + 2y + 4 = 3*2 + 2*4 + 4
= 6 + 8 + 4
= 18
(PLEASE HELP!) The central angle of a sector is 72 degrees and the sector has an area of 15.71. Find the radius.
Answer: The radius is 5 units (approximately)
Step-by-step explanation: The area of a sector with central angle X is given as;
Area = (X/360) x pi x r^2
Since the area has been given as 15.71 units, we can input the known values into the formula as follows;
15.71 = (72/360) x 3.14 x r^2
By cross multiplication we now have
(15.71/3.14) = 1/5 x r^2
(15.71/3.14) x 5 = r^2
78.55/3.14 = r^2
25.0159 = r^2
Add the square root sign to both sides of the equation
5.001 = r
The radius is equal to 5 units (approximately)
John saved 65 coins. He saved nickels and dimes only. If he had totally $4.90, how many nickels did he have?
Answer:
Step-by-step explanation:
Let n = nickels and d = dimes
n+d = 65
5n+10d = 490
Solve for n:
n = 65 - d
Substitute the equation:
325 + 5d = 490
5d = 165
d = 33
What is 4(-1/2) in repeated addition? Help ASAP please!
Answer:
-1/2 + -1/2 + -1/2 + -1/2 = -2
Step-by-step explanation:
You open up the parenthesis to get:
-1/2 + -1/2 + -1/2 + -1/2 =
-2
What is the area of the sector that is NOT shaded?
a. 80 pi units2
b. 16 pi units2
c. 20 pi units2
d. 8 pi units2
PLEASE HURRY!! I HAVE LIMITED TIME!! :)
Answer:
area of the shaded sector
= 72°/360°π(10)²
= 0.2×100π. sq. units
=20π sq. units
area of the not shaded region=π(10)²-20π
= (100-20)π = 80π sq. units
For whаt vаluе оf x does 3^4х = 27^x-3?
Answer:
x = -9
Step-by-step explanation:
3^4х = 27^(x-3)
Replace 27 with 3^3
3^4х = 3^3^(x-3)
We know that a^b^c = a^ (b*c)
3^4х = 3^(3(x-3))
Since the bases are the same, the exponents are the same
4x = 3(x-3)
Distribute
4x =3x-9
Subtract 3x from each side
4x-3x = 3x-3x-9
x = -9
Please help me with #1.
Answer:
810 square meters
Step-by-step explanation:
I did 12 x 15 x 18 and got 3240
then I divided 3240 by 4 because there are 4 sides of it which gave me 810
Hope This helps!
suppose y varies inversely with x. Write an equation if y=-3 when x=17
Answer:
y = -51 ÷ x
Step-by-step explanation:
The standard format of a inversely proportional equation goes by the format of y = k ÷ x. The question asks us to write an equation if y = -3 when x = 17 and y varies inversely with x.
So we substitute the values y = -3 and x = 17 in the equation y = k ÷ x
K = constant, we have to work this out
-3 = k ÷ 17
-3 × 17 = k
k = -3 × 17
k = -51
k = -51 So then we put this back into the original y = k ÷ x to find our final equation which is y = -51 ÷ x
(5x-5)+(2x+10) find the value of x
Answer:
you mean this (5x-5)=(2x+10)right ? if yes X=5
Step-by-step explanation:
if this (5x-5)+(2x+10)=0 so X= - 5/7
Answer:7x+5
Step-by-step explanation:Add together your x’s then add together -5 and 10 to get 7x+5
miranda stared with no meoey and saved $15 each week.
Answer:
?
Step-by-step explanation:
however many weeks the question is asking for just multiply that number by 15
Answer:
15w
Step-by-step explanation:
So, there is a rate. It would be 15w
w=Week.
Since she started with no money at all, it would be simple. 15w.
Hope this helped!
A cat had a litter of 5 kittens. If each sex is equally likely, what is the probability that 3 or less were female kittens? 0.3125 0.500 0.8125 0.2500
Answer:
WHAT IS THIS QUESTION AHHH BUT 03125
Step-by-step explanation:
Answer:
Probability of 3 or less = 0.8125.
Step-by-step explanation:
This is a binomial probability distribution.
Prob(0 females) = 5C0(1/2)^5 = 0.03125
Prob(1 female) = 5C1 (1/2)^5 = 0.15625
Prob(2 females) = 5C2(1/2)^5 = 0.3125
Prob(3 females) = 5C3(1/2)^5 = 0.3125
Adding these we get 0.8125.
please help me!!!!!!
Answer:
C
Step-by-step explanation:
Answer A does not come out to an even answer.
Answer:
C
Step-by-step explanation:
The Pythagorean theorem only works with right triangle. Seeing that the only right triangle is C the correct answer must be C. If you don't know how to identify a right triangle one of the easiest things to do is that there is a box in the corner and that means it is a right triangle. A right triangle is a triangle in which one of the corners is at at 90 degree angle
When brad was born ,his grandma put 1,500 in a new account for him . Since then the balance of the account has grown by 6.5% each year with no deposits or withdrawals. Now Brad is 18 and can withdraw the money if he decides to wait until his 21st birthday how much more money will be in the account
Final answer:
Using the compound interest formula, Brad's $1,500 will grow to $1,810.69 by the time he turns 21 due to the 6.5% annual growth rate for three additional years.
Explanation:
Calculating Future Value with Compound Interest
Brad's grandmother initially deposited $1,500 in an account that grows at a rate of 6.5% each year. To calculate the future value of this investment when Brad is 21, we'll use the formula for compound interest:
FV = P(1 + r)^n
Where:
FV is the future value of the money after n years.
P is the principal amount (the initial amount of money).
r is the annual interest rate (decimal).
n is the number of years the money is invested or borrowed for.
In Brad's case:
P = $1,500
r = 0.065 (6.5% converted to a decimal)
n = 21 years old - 18 years old = 3 years
Now, we plug these values into the compound interest formula:
FV = $1,500(1 + 0.065)^3
And calculate the future value.
Therefore, if Brad decides to wait until his 21st birthday to withdraw the money, he would have:
$1,500(1 + 0.065)^3 = $1,500(1.065)^3 = $1,500 * 1.207127 = $1,810.69
Brad will have $1,810.69 in his account by the time he is 21 if he waits, which is more than he would have at 18.