Answer:
y=a+be^(-1/4t)
Step-by-step explanation:
We can solve the characteristic equation, 4r^2+r=0 to help.
Factor:
r(4r+1)=0
This implies r=0 or 4r+1=0.
The second equation can be solved by subtracting 1 on both sides and then dividing boths sides by 4 like so:
4r+1=0
4r+1-1=0-1
4r=-1
4r/4=-1/4
r=-1/4
So r=0 and r=-1/4 which means the general solution is y=ae^(0t)+be^(-1/4t)
Simplifying gives y=a+be^(-1/4t) since e^0=1.
Let's check our solution.
y=a+be^(-1/4t)
y'=0+-1/4be^(-1/4t)
y''=0+1/16be^(-1/4t)
Plug in:
4y''+y'=0
4*1/16be^(-1/4t)+-1/4be^(-1/4t)=0
1/4be^(-1/4t)+-1/4be^(-1/4t)=0
0=0 is a true equation so the solution has been verified.
0645 + 0745 answer in military time
Answer:
1390
Step-by-step explanation:
Answer:
the answer is 1430 in military time
Step-by-step explanation:
What is the exact value of the trigonometric function?
(4 pts)
cos(600)
Answer:
45 man all day long
Step-by-step explanation:
i say 45 because it just is.
Which of the following is the solution to the inequality -5x + 20 < 130?
A. x < -22
B. x > -22
C. x < 30
D. x > -30
what is the missing number?
Answer:
Step-by-step explanation:
The missing number is
y = 2x + 3
hope it helps :)
The graph of a function f is shown below.
Find f(0).
Answer: f(0)=-1
Step-by-step explanation:
f(0) is a fancy way of saying the y value of the equation. the f(0) means that x=0. If you look at x=0, the graph is at y=-1. Therefore, f(0)=-1.
Answer:
7, f(0) would have to be lower than the semi-circle shown below, and therefore because the line passes through -3 and -4, its |-7|, which is 7.
Use the figure shown.
What type of triangle is ABC? Select all that apply.
A right
B. equilateral
C. isosceles
D. scalene
Answer:
B. equilateral
D. scalene
A right
Step-by-step explanation:
Let me know if one or 2 of them were wrong then give me time to edit my answer
how does 3.1416 come
Answer:
It is the value of pie(22/7)
for brainliest!!! help please
Answer:
the answer is 114
Step-by-step explanation:
180 - 66
What is the Mean of the data set? 12, 15, 18, 23, 26
Answer:
Mean = 18.8
Step-by-step explanation:
Mean = (Sum of all values)/(Number of values)
Mean = (12 + 15 + 18 + 23 + 26)/5
Mean = 94/5
Mean = 18.8
Answer:
18.8
Step-by-step explanation:
12+15+18+23+26=94 94/5 (5 is how many pair of numbers there are)=18.8
Ben and Corinne are filling goodie bags for a party. Each goodie bag needs an eraser, a bubble wand, and a few candy bar bites. Ben filled 25 goodie bags in 20 minutes. Corinne filled 27 goodie bags in 24 minutes. Who filled goodie bags at a faster pace?
Answer:
Ben
Step-by-step explanation:
Ben filled
[tex]25 \div 20[/tex]
Which is 1 minute and 25 seconds
Corrine filled
[tex]27 \div 24[/tex]
Which is 1.125 so about 1 minute and 13 seconds
A dart board measures 6.5 inches from the very edge to the center of the bullseye
I need help
Answer:
a is the wrong answer
Step-by-step explanation:
the area of the circle is 40.8407 in^2
Use the words factor, product, quotient, and sum to describe the parts of.
Answer:
A factor is a number to multiply.
A product is the answer to a multiplction problem.
Aquotient is the answer to a divison problem.
A sum is the answer to a addition problem.
Step-by-step explanation:
I do not know if thats what you extaly wanted but thats what they all mean. I do not know because your question is inexplicable and doesnt reall have a question to it.
What is the run in the red triangle below? Note the direction of the arrow.
Answer:
The rise over run in the red triangle is
-1/-4
Step-by-step explanation:
y = 1/4x + 4 (This is the equation)
So the opposite of 1/4 is
-1/-4
pasagot po thanks............
Answer:
1: 30
2: 90
3: 45 or 30 (what angle is it talking about? The line on the right or the left? It was a bit unclear.. can u comment it?)
4: 90
5: 30+90+45= 165 OR 30+90+30= 150
Which is NOT the formula for an area of a rectangle?
Group of answer choices
A = 1/2 X h X (Base 1 + Base 2)
A = L X W
A = bh
A = Base X Height
PLEASE HELP!
Drag each equation to show if it could be a correct first step to solving the equation 3(6+x)=24.
Answer:
x = 6
Step-by-step explanation:
Answer:
Here you go hope its not too late
Step-by-step explanation:
find the surface area of this cylinder. geometry hw help
Answer:
301.59 units or 301.6 after rounding
A seafood-sales manager collected data on the maximum daily temperature, T, and the daily revenue from salmon sales, R, using sales receipts for 30 days selected at random. Using the data, the manager conducted a regression analysis and found the least-squares regression line to be Rˆ=126+2.37T. A hypothesis test was conducted to investigate whether there is a linear relationship between maximum daily temperature and the daily revenue from salmon sales. The standard error for the slope of the regression line is SEb1=0.65. Assuming the conditions for inference have been met, which of the following is closest to the value of the test statistic for the hypothesis test?
a. t=0.274
b. t=0.65
c. t=1.54
d. t=3.65
e. t=193.85
Answer: d
Step-by-step explanation:
t= b1- B0/ SE(b1) = 2.37-0/0.65= 3.646 -> 3.65
The closest value of the test statistic for the hypothesis test is 3.65 if the least-squares regression line to be Rˆ=126+2.37T option (d) is correct.
What is a regression line?A regression line is a graph that illustrates the pattern of a group of statistics. In other words, it shows the data's best pattern.
We have a least-squares regression line to be:
R^ = 126+2.37T
A hypothesis test was conducted to investigate whether there is a linear relationship between maximum daily temperature and the daily revenue from salmon sales.
Using a T-test to find the significance of the slope coefficient is measured:
[tex]\rm t = \frac{b}{SE}[/tex]
Here SE = 0.65
b = 2.37
Put this value in the above expression, we get:
[tex]\rm t = \frac{2.37}{0.65}[/tex]
t = 3.6461 or
t = 3.65
Thus, the closest value of the test statistic for the hypothesis test is 3.65 if the least-squares regression line to be Rˆ=126+2.37T option (d) is correct.
Learn more about the regression line here:
https://brainly.com/question/7656407
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READ CAREFULLY! - 50 students were randomly sampled and asked if they preferred Coke or Pepsi. 12 preferred Pepsi. If there are 779 students in the school, you would expect ______ students in the entire school to prefer Coke. Enter an answer rounded to the nearest whole number.
Answer:12/50 * x/588
Step-by-step explanation:= 141.12
588 - 141.12 = 446.88
I would expect 447 students to prefer Coke.
Hope this helps
Sam is between the ages of 72 and 99. The sum of the two digits is 15. How old is Sam?
96, 87, or 78
9+6=15
8+7=15
7+8=15
I hope this helped!
17. Europa, one of Jupiter's moons, is roughly spherical. The equatorial radius
of Europa is about 1,600,000 meters, and the mass of Europa is about
48,000,000,000,000,000,000,000 kilograms.
a. Find the order of magnitude of the radius r of Europa, and the order of
magnitude of the mass m of Europa.
b. Find the order of magnitude of the volume V of Europa.
c. Use the orders of magnitude of mand V that you found in parts (a) and
(b) to approximate the average density d (in kilograms per cubic meter)
of Europa using the formula d = m.
Answer:
Given
r = 1 600 000 m = 1.6×10⁶ mm = 48 000 000 000 000 000 000 000 kg = 4.8×10²² kga)
Given aboveb)
V = 4/3 πr³ = 4/3*3.14*(1.6×10⁶)³ = 17.14×10¹⁸ ≈ 1.71×10¹⁹ m³c)
d = m / Vd = 4.8×10²² kg / 1.71×10¹⁹ m³ ≈ 2.8×10³ kg/m³4.B.83
How much must be deposited today into the following account in order to have get 35,000 in 5 Years
An account with monthly compounding and an APR of 4%
should be deposited today.
(Do not round until the final answer. Then round to the nearest cent as needed)
Answer:
$ 28,665.11 must be deposited today into the account.
Step-by-step explanation:
Given that there is an account with monthly compounding and an APR of 4%, to determine how much must be deposited today into the following account in order to have $ 35,000 in 5 years, the following calculation must be performed:
X x (1 + 4/12) ^ 5x12 = 35,000
X x (1 + 0.333) ^ 60 = 35,000
X x (1,333) ^ 60 = 35,000
X x 1.220999 = 35,000
X = 35,000 / 1.22099
X = 28,665.11
Thus, $ 28,665.11 must be deposited today into the account.
hi please help me with this im learning how to play gutiar rn
Answer:
1. 1/3
2. 19/8
Step-by-step explanation:
find the general solution and find the specific solutions over the interval [0,4pi]
cos(alpha + pi/3) = (sqrt(3))/2
Answer:
Isolate the angle 2x, by following the reverse "order of operations".
Step-by-step explanation:
Explanation:
Step 1: Add 1 to both sides:
2
cos
2
(
2
x
)
=
1
Step 2: Divide both sides by 2:
cos
2
(
2
x
)
=
1
2
Step 3: Take the square root of both sides:
cos
(
2
x
)
=
√
2
2
or
cos
(
2
x
)
=
−
√
2
2
(don't forget the positive and negative solutions!)
Step 4: Use inverse of cosine to find the angles:
2
x
=
cos
−
1
(
√
2
2
)
or
2
x
=
cos
−
1
(
−
√
2
2
)
Step 5: Find angles that work:
2
x
=
π
4
or
2
x
=
7
π
4
or
2
x
=
3
π
4
or
2
x
=
5
π
4
Step 6: Solve for x:
x
=
π
8
,
7
π
8
,
3
π
8
,
5
π
8
or .785, 5.5, 2.36, 3.93
(decimal approximations are seen on the graph below)
Choose all lengths that are equal to 3 yards 16 inches.
A. 124 in.
B. 4 yd 4 in.
C. 3 yd 1 1/2 ft ( this is a fraction number 1 and 1 half)
D. 2 yd 52 in.
E. 10 ft 4 in.
Answer:
a,d, and e
Step-by-step explanation:
because 3 yards is equal to 108 inches
Choose the item that has measurable volume.
A. an index card
B. a napkin
C. cereal box
D. piece of paper
Volume is a three-dimensional scalar quantity. The item is the cereal box.
What is volume?A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.
For an item to have measurable volume, the item must have space and must have a closed surface. Therefore, the item is the cereal box.
Learn more about Volume:
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Can anyone help with this problem
9514 1404 393
Answer:
A Kite Ahe guessedStep-by-step explanation:
For a quadrilateral in which the diagonals cross at right angles, such as a rhombus or kite, the area can be found as half the product of the diagonals.
For the purpose here, we can ignore the factor of 1/2, which is the same for both, and simply consider the products of the diagonals.
Kite A has an area proportional to (30 in)(30 in) = 900 in².
Kite B has an area proportional to (20 in)(40 in) = 800 in².
Kite A has a larger area, so will use more paper.
__
Only Rudy knows why he chose answer C. Perhaps he guessed, rather than doing any math.
Answer:
A. Kite A
Step-by-step explanation:
To determine which of the two kites will use need more paper to make, find the area of each kite.
Kite A:
Area = (d1*d2)/2
d1 = 30 in.
d2 = 30 in.
Area of kite A = (30*30)/2 = 450 in.²
Kite B:
Area = (d1*d2)/2
d1 = 20 in.
d2 = 40 in.
Area of kite B = (20*40)/2 = 400 in.²
✅Kite A will use more paper to make because it has a greater area of 450 in.² than Kite B (400 in.²).
So, Ruby was wrong. He most likely didn't calculate the area of both kites correctly.
Can someone help me with this
Answer:
x = 78°
Step-by-step explanation:
You are finding the last angle, x, in a triangle.
A triangle always equals 180.
P - 12
Q - 90
90+12 = 102
180-102 = 78
i need all of these
what is 1 3/4 + 2 2/3 equal to?
Answer:
4 5/12
Step-by-step explanation:
Answer:
1 3/4 + 2 2/3 = 4 5/12