Answer:6 acres per day
Step-by-step explanation:
If you set it up as a fraction 36 acres/6 days and then simplify them by their common number (6) you get 6 acres/1 day.
I hope this helps :)
What is 5 4/9 - 2 5/9
Answer:
2 8/9
Step-by-step explanation:
B3cause when you subtract 5 4/9 and 2/59 you get 2 /89
2 - 6 +18 - ... +1458
Determine the number of terms in the geometric series
Answer:
7
Step-by-step explanation:
The first term is 2. The common ratio is -6/2 = -3. The n-th term is ...
an = a1·r^(n -1)
Using the last term value, we have ...
1458 = 2·(-3)^(n -1)
729 = (-3)^(n -1)
Taking logarithms, we have ...
log(729) = (n -1)·log(|-3|)
n = 1 +log(729)/log(3) = 1 +6 = 7
The series is 7 terms long.
__
There are few enough terms that we can write them all out:
2 -6 +18 -54 +162 -486 +1458
__
Additional comment
Had it worked out that n was computed to be an even number, we would have to declare "no solution."
Ivan plans to watch 2 movies each month. Write an equation to represent the total number of movies n that he will watch in m months.
Answer:
n=2m
Step-by-step explanation:
What is ∑n=16[4(−5)n−1] equal to?
Enter your answer in the box.
Step-by-step explanation:
Geometric Sequence formula for general term:
an = a1(r^n-1)
a1 = 4 × (-5)^1-1
a1 = 4
r = -5
Summation formula for geometric sequence :
Sn = a1 ( 1 - r^n / 1 - r )
...take n from the top of the summation.
= 4 ( 1 -(-5)^6 / 1 -(-5)
= -10416.
What is the area of the parallelogram?
13 cm
5 cm
14 cm
O 32 cm2
O 65 cm2
O 70 cm2
195 cm 2
Answer:
70 cm²Step-by-step explanation:
The area of the parallelogram is:
14 × 5
= 70 cm²
Hope it helps!
PLEASE HELPPP AND EXPLAIN
Maggie is taking out a student loan for $2,600. She plans on paying off the
loan in 3 years. At the end of 3 years, Maggie will have paid $390 in interest.
What is the simple interest
Answer:
5%
Step-by-step explanation:
Let the interest rate be x100
So we have for simple interest: x100×$2600=$390
This is the same as: ddddddddddx×$2600100=$390
x×$2600100=$390
Divide both sides by $26.
x×$26$26=$390$26
x×1=$390$26
x=15
But x is from x100
The % symbol is like a unit of measurement and one that is worth 1100
So 15100d→d15×1100d→d15×%→15%
But this is over 3 years so the annual interest rate is d15%3=5%
co to y i co to x
5x + y = 11
3x - y = 9
Answer:
Equation Form
x = [tex]\frac{5}{2}[/tex]
y = [tex]-\frac{3}{2}[/tex]
Point Form= ( [tex]\frac{5}{2}[/tex] , [tex]-\frac{3}{2}[/tex])
Explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
The cash price of a color tv is $100000. Workout an installment plan for two years of monthly installment if the deposit is 15% and interest at the rate of 12 %
Answer:
The price of the house = $ 100000
The down payment is 20 % of 100000 means dollars
So, loan amount will be = dollars
Step-by-step explanation:
mark brainly weirdo
confused on what this answer is can you guys help me?
Answer:
13.47 m
Step-by-step explanation:
let the angle formed by the shadow on ground be x
tan x = 1.65/(34.55-30 4)
tan x = .39
.39 = tree ht/34.55
tree ht = 13.47m
Notes/Examples The distance between two points A and B be written as
Answer:
Use the Pythagorean theory equation
[tex]\sqrt{(x_{2}-x _{1})^{2} +(y_{2}-y_{1})^{2}[/tex]
what is greater 3/6 or 6/8
The square of a number is 12 less than the sum of 34 and 42 . What is the number?
Answer: 8
Step-by-step explanation: 34 + 42 = 76
76 - 12 = 64
square root of 64 = 8
:)
Type the expressions as radicals.
y 3/5
Step-by-step explanation:
If
n
is a positive integer that is greater than
x
and
a
is a real number or a factor, then
a
x
n
=
n
√
a
x
.
a
x
n
=
n
√
a
x
Use the rule to convert
y
3
5
to a radical, where
a
=
,
x
=
, and
n
=
.
5
√
y
3
Help me with IXL please
Answer:
-2.173
Step-by-step explanation:
-7a + 5a = -25 + 21 Solve for a
If you can't figure it out its ok!
Answer: a = 2
Step-by-step explanation: combine both sides. Remove variable by dividing, answer is 2
-7a + 5a = -25 + 21
-7a + 5a = -4
-2a = -4
a = 2
Haydn made a scale model of a building. The actual height of the building is 75 feet. Haydn's model used a scale in which 1.5 inch represented 30 feet. what is the height in inches of haydn's model ?
Answer:
3.75
Step-by-step explanation:
1.5 equals 30 ft so x2 equals 60 then 15 is half of 20 so half of 1.5 in is .75 so 3 plus .75
1. Two students are reading a novel. Ashely reads 10 pages a day. Carly reads 8 pages a day, but he starts sooner and has already read 40 pages.
Part A: Write a system of equations to represent the situation, using d for days and p for pages
Answer:
Step-by-step explanation:
STOP CHEATING AND DO IT URSELF
I need help on this Pythagorean Theorem question would be nice if somebody helped quick
Answer:
Step-by-step explanation:
5^2 + 5^2 = x^2
25 + 25 = x^2
50 = x^2
[tex]\sqrt{50}[/tex] = x, 5[tex]\sqrt{2}[/tex]
x = approximately 7.07
Answer:
Exact: SQRT 50
Approx: 7.07
Step-by-step explanation:
you take both of the 5s and square them.
So 5*5=25 and 5*5 is 25. Since the right angle is opposite the side you are trying to find you add those together to get 50. Then you take the SQRT of 50 because you are trying to solve for x via the pythagorean theorem.
So the exact is SQRT 50
and the approx is 7.07
Solve this for branliest answer!
Answer:
(θ) = 84°
Step-by-step explanation:
Given: sin(θ)=cos(6)
Find: value of θ
Computation: sin(θ)=cos(6)
We know that cos(90-a) = sin(a)
So, sin(θ)=cos(90-84) sin(θ)=sin(84)
So, (θ) = 84°
Solve for x. Round to the nearest tenth of a degree, if necessary.
Answer:
cos x=adjacent/hypotenuse
cos x = 54/34
or Tan¹ =54/34
x=58
A message in a bottle is floating on top of the ocean in a periodic manner. The time between periods of maximum heights is 20 seconds, and the average height of the bottle is 10 feet. The bottle moves in a manner such that the distance from the highest and lowest point is 4 feet. A cosine function can model the movement of the message in a bottle in relation to the height.
Part A: Determine the amplitude and period of the function that could model the height of the message in a bottle as a function of time, t. (5 points)
Part B: Assuming that at t = 0 the message in a bottle is at its average height and moves upwards after, what is the equation of the function that could represent the situation? (5 points)
Part C: Based on the graph of the function, after how many seconds will it reach its lowest height? (5 points)
Answer:
See below for answers and explanations for each part (along with attached graph)
Step-by-step explanation:
Recall the equation [tex]f(x)=asin(bx+c)+d[/tex] where [tex]a[/tex] is the amplitude, [tex]\frac{2\pi}{b}[/tex] is the period, [tex]-\frac{c}{b}[/tex] is the phase/vertical shift, and [tex]d[/tex] is the midline
Part A
The amplitude is half the distance between the maximum/minimum, therefore, the amplitude is [tex]a=\frac{4}{2}=2[/tex]Also, we are given that the period is 20 seconds, which means that if [tex]\frac{2\pi}{b}=20[/tex], then [tex]b=\frac{\pi}{10}[/tex]Part B
Since [tex]f(x)=sin(x)[/tex] begins at its average and we use the identity [tex]sin(x)=cos(x-\frac{\pi}{2})[/tex] to represent the wave traveling up first, then we have [tex]c=-\frac{\pi}{2}[/tex], making the phase shift [tex]-\frac{c}{b}=-\frac{-\frac{\pi}{2}}{\frac{\pi}{10}}=5[/tex], or 5 feet to the rightWe also know that the average, or the midline, must be [tex]d=10[/tex], making our equation [tex]f(t)=2cos(\frac{\pi}{10}t-\frac{\pi}{2} )+10[/tex] as a function of [tex]t[/tex]Part C
If you review the attached graph, you will see that when [tex]t=15[/tex], then the bottle will reach its lowest height of 8 feet
I hope these explanations and the attached graph help you understand sinusoidal functions better! Please mark this answer brainliest if you found this answer helpful!
a) The amplitude of the function is 4 feet.
b) The function that represents the situation is [tex]y(t) = 10 +4\cdot \sin \frac{\pi\cdot t}{10}[/tex].
c) The bottle will take 15 seconds to reach its lowest height.
How to find a function for the height of a bottle and how to analyze its motion
a) The amplitude ([tex]A[/tex]), in feet, is equal to the difference between highest and lowest point ([tex]y_{max}[/tex], [tex]y_{min}[/tex]), in feet, divided by 2. The period ([tex]T[/tex]), in seconds, is the time taken by the bottle to complete one cycle. In this case, the period is the time between two maxima. Hence, we proceed to determine each variable:
Amplitude ([tex]y_{max} = 14\,ft[/tex], [tex]y_{min} = 6\,ft[/tex])[tex]A = \frac{14\,ft-6\,ft}{2}[/tex]
[tex]A = 4\,ft[/tex]
The amplitude of the function is 4 feet. [tex]\blacksquare[/tex]
PeriodThe period of the function is 20 seconds. [tex]\blacksquare[/tex]
b) The function that represents the situation is based on this model:
[tex]y(t) = y_{o} + A \cdot \sin \frac{2\pi\cdot t}{T}[/tex] (1)
Where:
[tex]y_{o}[/tex] - Average height of the bottle, in feet.[tex]t[/tex] - Time, in seconds. [tex]y(t)[/tex] - Current height, in feet.If we know that [tex]A = 4\,ft[/tex], [tex]y_{o} = 10\,ft[/tex] and [tex]T = 20\,s[/tex], then the function that represents the situation is:
[tex]y(t) = 10 +4\cdot \sin \frac{\pi\cdot t}{10}[/tex] (2)
The function that represents the situation is [tex]y(t) = 10 +4\cdot \sin \frac{\pi\cdot t}{10}[/tex]. [tex]\blacksquare[/tex]
c) With the help of a graphic tool, we graph the function in time. According to the image, the bottle will take 15 seconds to reach its lowest height. [tex]\blacksquare[/tex]
To learn more on simple harmonic motion, we kindly invite to check this verified question: https://brainly.com/question/17315536
what is the volume of this prism?
Answer:
36 cubic inches
Step-by-step explanation:
v=(3)(6)(2)=36
Hope this helps
write the missing ratio number 2: =10:25
write the missing ratio number 6:4=3:
write the missing ratio number16: =4:7
write the missing ratio number :3=42:18
write the missing ratio number 15:21= :7
write the missing ratio number :48=9:6
Answer:
1. 2:5=10:25
2. 6:4=3:2
3. 16:49=4:7
4.7:3=42:18
5.15:21=3:7
6.72:48=9:6
Which figure is a rotation of figure E’
Answer:
FIGURE F... I just got it right on iready
The figure that showcases the rotation of figure E in the image attached below is figure F.
What is the rotation of figures?A rotation is a planar transformation that rotates each and every point of a figure around a fixed reference point at a defined angle and direction. The fixed point is known as the rotational center.
Rotating figures entails revolving them around a central axis and at certain degrees. The figures themselves usually remain the same, but their location in space will shift.
From the image attached, The figure that showcases the rotation of figure E is figure F.
Learn more about the rotation of figures here:
https://brainly.com/question/26249005
WILL GIVE BRAINLY PLS 2 PEOPLE ANSWER
Answer:
the slope is 6
Step-by-step explanation:
Answer:
Equation: y = 3x + 9
Step-by-step explanation:
To find equation:
Take two coordinates: ( 1 , 12 ) , ( 2 , 15 )
Secondly find slope: ( y2 - y1 ) / (x2 - x1 )
Using the formula: ( 15 - 12 ) / ( 2 - 1 )
: 3 ............this is our slope, m
Using formula to find equation: y - y1 = m ( x - x1 )
: y - 12 = 3 ( x - 1 )
: y = 3x - 3 + 12
: y = 3x + 9 .....our final answer.
The equation in slope intercept form is y = 3x + 9
what is the measure of x if you have 4x +x = 180
Answer:
36
Step-by-step explanation:
4x +x = 180
5x=180
x=180/5
x=36
What is the equation of the nine that passes through
5,1)
and has a slope of 6/5
Answer:
y 6/5x-2
Step-by-step explanation
Answer:
y = [tex]\frac{6}{5}[/tex] x - 5
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = [tex]\frac{6}{5}[/tex] , then
y = [tex]\frac{6}{5}[/tex] x + c ← is the partial equation
To find c substitute (5, 1 ) into the partial equation
1 = 6 + c ⇒ c = 1 - 6 = - 5
y = [tex]\frac{6}{5}[/tex] x - 5 ← equation of line
A student made an error when evaluating the following expression. He started with 8^-3 and then made a mistake on the right side. Describe the error and explain what the student should have done .
8^-3=(-8)•(-8)•(-8)
Answer:
The student should have done -8 times it self 3 times because that is what the means.
Step-by-step explanation:
If jasmine spent $280 on 20 pairs of earrings,what was the cost of 1 pair?
Plz give a step-by-step explanation plz I have been stuck on this for so long
Answer:
14
Step-by-step explanation:
280 divided by 20 is 14 when you divide by those 2 numbers you get how much they would cost. also 14x20 is 280
Help please! With both questions!!!!
