An equation for water level in june for pensacola as a function of time (t) is f(t) = 5 cos pi/6 t + 7.
Which equation of cos show period amplitude ?
The equation given below show aplitude and period
[tex]y = A cos bx + c[/tex]
where A = amplitude,
b = 2 pi/Period,
Period = 12 hrs,
c = midline,
x = t and y = f(t)
We have to find the amplitude
What is the formula for the amplitude?
[tex]A = 1/2 (Xmax - Xmin)[/tex]
[tex]12 - 2 / 2 = 10/2 = 5[/tex]
[tex]b = 2 pi / 12 = pi/6[/tex]
[tex]c = 1/2 (Xmax + Xmin)[/tex]
[tex]12+2/2 = 7[/tex]
Therefore, the an equation for water level in june for pensacola as a function of time (t)
[tex]f(t) = 5 cos pi/6 t + 7[/tex]
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I dont understand this to save my life, Please help !
- Chris deposited $435 in a new account at his bank.
• The bank pays 1.7% interest compounded annually on this account.
• Chris makes no additional deposits or withdrawals.
How much interest will the account have earned at the end of 10 years?
Answer:
END OF EACH YEAR
-1 442.395
-2 449.91
-3 457.56
-4 465.34
-5 473.25
-6 481.29
-7 489.481
-8 497.80
-9 506.26
-10 514.87
however, how much INTEREST
514.87-435=
79.8
An isosceles right triangle has a hypotenuse of 16mm what would the area of the triangle be
Answer: 64 square mm
Step-by-step explanation:
what is the answer 58×100 =
a. 1220
b.1555
c5678
d5800
Answer:
Answer D is correct
Step-by-step explanation:
Let us solve this now.
58
× 100
000
00
+ 58
= 5800
------------------------------------------------------------------------------------------
Let us solve this sum in a different way.
If there's a number to multiply by 100 you can simply put 2 zeros to the other number like this.
58 × 100 = 5800
simply the difference of 8w^2 -8w - 6) -(3w^2 +7w - 4)
Answer:
can you post the question I don't understand
2. The temperature at the North Pole is 30°F and is expected to drop 5°F per hour for the next
several hours. Write an equation that represents the relationship between temperature and
time. Explain what information your numbers and variables represent.
The answer is F(t)=30-5t
What are linear equations?Linear equations help in representing the relationship between variables such as x, y, and z, and are expressed in exponents of one degree. In these linear equations, we use algebra, starting from the basics such as the addition and subtraction of algebraic expressions.
Given here: The temperature at the North Pole is 30°F and is expected to drop 5°F per hour for the next several hours.
let the time in hours be t and F(t) be the temperature after t hours then we have the following equation:
F(t)=30-5t
Hence, The answer is F(t)=30-5t
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A right rectangular prisim has a length of 2 1/2 feet a width of 3 feet and a height of 1 1/2 feet. Unit cubes with side lengths of 1/2 foot are added to completely fill the prisim with no space remaining. What is the volume in cubic feet of the right rectangular prisim?
Danielle and Esther are selling fruit for a fundraiser. Danielle sold 3 boxes of apples and 2 boxes of oranges for $44.50. Esther sold 5 boxes of apples and 4 boxes of oranges for $81.50. How much did a box of oranges cost?
Let x be the cost of a box of apples and y be the cost of a box of oranges.
Danielle : 3x + 2y = 44.5
Esther: 5x + 4y = 81.5
3x + 2y = 44.5 --- 1
5x + 4y = 81.5 --- 2
6x + 4y = 89 --- 3
From 2 and 3, we have:
x = 7.5
Subsitute x = 7.5 into 1
3(7.5) + 2y = 44.5
2y = 22
y = 11
Therefore, a box of oranges costs 11 dollars
Select all that apply
Answer:
Rational & integer
Step-by-step explanation:
Rational numbers are terminating. -7 is terminating.
All integers are rational numbers. Integers do not have decimals.
This is not whole because it is negative.
This is not irrational because... it's rational!
it is a rational and integer Hopefully you pass this assignment
help me pleaseeeeeeeeee
Answer:
slope = [tex]\frac{8}{3}[/tex]
Step-by-step explanation:
calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 5, - 4) and (x₂, y₂ ) = (- 2, 4) ← 2 points on the line
m = [tex]\frac{4-(-4)}{-2-(-5)}[/tex] = [tex]\frac{4+4}{-2+5}[/tex] = [tex]\frac{8}{3}[/tex]
Find g(x), where g(x) is the reflection across the x-axis of f(x)=
–
4(x–10)2+3.
PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
1 1/2 or 1.5
As a simplified fraction
If this helped pls give brainlest.
Ram spent 1/3 of his salary on food, ,1/4 of his salary on rent and electricity, and 1/20 of his salary on the telephone. Since April -2022 is the month of Ramadan, irrespective of religion and cast Ram has donated 1/10 of his salary to an orphanage and 5000Aed to RCA Charity. He was left with 3000AED with him. What is his monthly salary?
STEP BY STEP PLS
The total monthly salary earned by Ram in the month of April 2022 is an amount of 30000 AED before payments and donations.
How to solve a word problem
Word problems are statements that embody a set of algebraic expressions that offers at least one solution. In this case, we have to read the statement, find the equivalent formula and solve for the resulting variable.
After a careful reading, the statement is equivalent to the following formula:
x = x / 3 + x / 4 + x / 20 + x / 10 + 5000 + 3000
4 · x / 15 = 8000 (1)
Where x is Ram's monthly salary.
The solution of (1) is x = 30000.
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Performing a Rotation in the Coordinate Plane
Fill in the missing numbers to make each rotation true
Figure WXYZ is rotated 90° clockwise around the
origin to form figure W'X'Y'Z'.
Answer:
W: (-4,5) W' -> (5,4)
X: (-1,4) X' -> (4,1)
Y: (-6,1) Y' -> (1,6)
Z: (-8,3) Z' -> (3,8)
Step-by-step explanation:
Let me give you a quick brief of how to master rotations!!
You need to understand the formula and positioning rules
The formulas shall be given by teachers or looked up!
*** BUT THE SHAPE POSITIONING RULES MATTER!!
-If the shape was in quadrant 2 which is where it is right now then a 90 degree turn clockwise would result in the shape being on quadrant 1, 180 quad 4, 270: quad 3, and 360 would be the original quad which is 2.
The formula for clockwise for this one is that you need to flip the (x,y) to (y,x)
The shape should be on quadrant 1 which is the one on the top right of the coordinate plane!
They want you to graph it by W'X'Y'Z
The ' is prime which is the new position/coordinate
W: (-4,5) W' -> (5,4)
X: (-1,4) X' -> (4,1)
Y: (-6,1) Y' -> (1,6)
Z: (-8,3) Z' -> (3,8)
That is the rotation 90 degrees clockwise coordinates!!
***REMEMBER EACH ROTATION RULE HAS A DIFFERENT FORMULA!!**
Counterclockwise is pretty similar but the opposite direction with different rules!
**POSITION OF THE SHAPE IS THE MOST IMPORTANT!!!**
Lydia is planning an event for 275 people. She wants to find out the food preferences for the guests, so she surveys 60 guests and discovers that 45 of those guests prefer chicken and 15 prefer fish. What is the sample for the survey?
Answer:
sample size is the number of individuals in the sample and the sample is 60 guests.
Step-by-step explanation:
She wants to find out the food preferences for the guests, so she surveys 60 guests and discover 45 of those guests prefer chicken and 15 prefer fish.
The sample is 60 guests.
prove it equals 1
(Tanx - Cotx) + Sinx.Cosx
Step-by-step explanation:
(sinx/cosx - cosx/sinx) + sinxcosx
sin²x - cos²x = 1
I can't prove
I only know sin²x + cos²x = 1 : )
What should be done to solve the following equation?
=
C-730
7
What should be done to solve the following equations?
C - 7 and 3/4= 0
A) add 7 and 3/4 to both sides of the equation
B)Add O to both sides of the equation.
C)Subtract from both sides of the equation
D) Subtract 7 from both sides of the equation
The equation C -7 - 3/4 = 0 is an algebraic equation
To solve the equation we (a) add 7 and 3/4 to both sides of the equation
How to determine the action on the equation?The equation is given as:
C -7 - 3/4 = 0
Make C the subject of formula by adding 7 and 3/4 to both sides of equation
C = 7 + 3/4
Now, we can solve for C
Hence, to solve the equation we (a) add 7 and 3/4 to both sides of the equation
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Which quadratic equation is equivalent to (x + 2)^2 + 5(x + 2) - 6 = 0?
Answer:
[tex]x^2[/tex] + 9x + 8 = 0
Step-by-step explanation:
First, we have to simplify this quadratic equation:
(x+2)^2 + 5(x+2) - 6 = 0
x^2 + 4x + 4 + 5x + 10 - 6 = 0
x^2 + 9x + 8 = 0
In the accompanying diagram of a unit circle, the ordered pair (x,y) represents the point where the terminal side of 0 intersects the unit circle. If 0=150, what is the value of x.
A.
B.
C.
D.
Answer:
Below in bold.
Step-by-step explanation:
tan 150 = -tan 30
= -1/√3 = y/x (1)
This is a unit circle so the hypotenuse = 1.
so sin 150 = y/1 = y
y = 1/2
So substituting in equation (1)
1/2 / x = -1/√3
-x = √3/2
x = -√3/2.
The value of x in the unit circle is -√3/2.
Option B is the correct answer.
What is a circle?A circle is a two-dimensional figure with a radius and circumference of 2pir.
The area of a circle is πr².
We have,
Since the angle is 150 degrees, we know that it is in the second quadrant, where the x-coordinate is negative and the y-coordinate is positive.
Since the circle has a radius of 1, the y-coordinate is sin(150) = 1/2.
To find the x-coordinate, we can use the formula x = cos(θ), where θ is the angle in radians.
To convert 150 degrees to radians, we multiply by π/180:
150 degrees x π/180 = 5π/6 radians
So,
x = cos(5π/6) = -√3/2.
Therefore,
The value of x is -√3/2.
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1.What is the theoretical probability of popping a striped balloon?
2.What is the experimental probability of not popping a polka dot balloon?
18 solid balloons, 5 polka dot balloons and 17 striped balloons
The probability of popping a balloon is the likelihood of the balloon
The theoretical probability of popping a stripped balloon is 1/3The experimental probability of not popping a polka dot is 0.875How to determine the probability?The given parameters are:
Solid balloons = 18Polka dots = 5Stripped balloons = 17There are three balloons.
So, the theoretical probability of popping a stripped balloon is:
P = 1/3
The experimental probability of not popping a polka dot is calculated as:
P = 1 - P(Polka dot)
This gives
P = 1 - 5/40
Evaluate
P = 0.875
Hence, the experimental probability of not popping a polka dot is 0.875
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Help me in this graph question please
Answer:
D
Step-by-step explanation:
In the first year the height of the plant is 3 feet, the second year is 6 feet etc.
on a map, 1 inch equals 15 miles. two cities are 6 inches apart on the map. what is the actual distance between the cities?
1 inch= 15 miles
to find:the distance between the cities
solution:1 in/ 15 miles = 6 in/ x miles
applying cross products:
1 * x = 15 *6
x= 90
so, the distance betwixt the cities is 90 miles.
Which unit of measure should be used to measure this length? Type the correct
answer.
Use:
yd = yards
mi = miles
the distance from one street corner to the next
Answer:
Miles or mi
Step-by-step explanation:
This is because measuring the distance from one street corner to the next requires miles. Yards would be too less and would be less convenient.
There is a possibility of converting miles to yards as well.
You just have to multiply the miles by 1760 to get the right units.
i need help!!! please help me
Answer:
2nd and 4th option
Step-by-step explanation:
The equivalent expression is,
⇒ 4 (5 - 2d)
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We have to given that;
The expression is,
⇒ 20 - 8d
Now, We can simplify the expression as;
⇒ 20 - 8d
⇒ 4 x 5 - 4 x 2d
⇒ 4 (5 - 2d)
Thus, The equivalent expression is,
⇒ 4 (5 - 2d)
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3. Explain the relationship between area and square units
Answer:
In geometry, the area of a two dimensional object is the amount of space an area takes up. A square unit is a square with sides of length one unit.
Matt is given a jar with eight marbles, six of which are red and two of which are green. Matt then randomly draws marbles without replacement. If he selects a red marble, he puts it in the first box; similarly, he continues to place all red marbles he selects into the first box until a green marble is chosen. When a green marble is chosen, he puts the first box aside. He then selects and places red marbles in the second box until the second green marble is chosen. When the second green marble is selected, he will put the second box aside and place all remaining red marbled in a third box. After all marbles are drawn, what is the probability that each box contains two red marbles? Express your answer as a common fraction.
Answer:
as a percentage it is: 0.25 x 0.2 =0.05 or 5%
but as a common fraction it is: 5/100 or 1/20
Step-by-step explanation:
Find the area of the polygon: Hint: Area = (Length)(Width)
-
( 3x+8 ) ( 7x-2 )
= 21x² + 56x - 6x -16
= 21x² + 50x -16
HOPE IT HELPS :)
For time measured in seconds, where t is greater than or equal to zero, the velocity of a particle
Answer: So, to find velocity we take the first derivative of the equation.
just in case you do not know how to take a derivative or a polynomial
the derivative of axn = naxn-1 where a is a coefficient and n is the exponent.
s' = 3t2 - 24t +36 this is your velocity in time t.
to solve for your velocity at t = 3 seconds we will plug 3 seconds into any t in the velocity equation.
s' = v this is just stating that s' is equal to your velocity
v = 3(3)2 - 24(3) + 36
v = 27 - 72 + 36
v = -9 m/s
to find when the particle is at rest we must consider the at rest velocity which is 0. An object at rest has no velocity(only applies to Newtonian mechanics)
so, we will change v to 0 and solve for t
0 = 3t2 - 24t + 36
to solve this we need to factor to quadratic equation.
to solve this we first will factor out 3 from the equation.
0 = 3(t2 - 8t + 12)
now we can factor. we need two numbers that when multiplied together give 12 but when added give -8. since the addition is negative and the multiplication is positive we know that we are dealing with two negative integers.
we end up with
0 = (t-2)(t-6) the three was divided on both sides to eliminate it from the equation.
so, the particle is at 0 at t = 2 seconds and t = 6 seconds.
Now, just because the particle has 0 velocity does not mean it has no acceleration. However, I do not believe the acceleration is important for this problem.
To find when the particle is moving forward you must consider again when it is at 0. When it is at 0 a speed change is happening. So, to find out if velocity is positive or negative we will test a number before 2 after 2 but before 6 and after 6.
So, we can start with t = 0 for the before 2 number
v = 3(0) - 24(0) + 36
we get v = 36 which is positive. So, the particle was moving forward before 2 seconds.
now we have already used 3 seconds and we got a negative velocity. So, the particle is moving backwards at t = 3 seconds.
So the last one to check is after 6 seconds. We will choose 10 for this one because it is easy to multiply with.
v = 300 - 120 + 36 = a positive number. You do not actually need to know what number as long as you know it is positive. That means the particle was moving forward after 6 seconds.
to find the total distance traveled we must break up the distance equation by direction of travel. So, we must take the distance traveled by the particle in pieces using the original equation.
s = t3 -12t2 + 36t
first we will solve for the distance traveled in 2 seconds.
s = 8 - 48 + 72 = 32 meters
Now we will solve for 6 seconds and figure out the distance traveled from 32 meters in the opposite direction. Then we will add the two numbers together.
s =216 - 432 + 192 = -24 meters
To find the distance travelled between 2 and 6 seconds we add the absolute value of the values together.
We end up with distance traveled between 2 and 6 seconds was
56 meters
we then add this to the original 24 meters to get the distance traveled from 0 to 6 seconds of
88 meters
then we solve for the distance at 8 seconds
s = 512 - 768 + 288 = 32 meters
so, again we add the absolute values of the previous time interval with the one we just calculated for.
24 + 32 = 56 meters. So, the particle traveled back up at this point.
We add the new 56 with the current total of 88 meters to get
total distance traveled = 144 meters
this shows us that the particle is moving in a wave pattern from 0 to 8 seconds. So, if you were to draw a graph you would have a particle start at s = 0 and t = 0, then the particle would move much like the graph of sine instead of stopping at 1 it would stop at s = 32 then drop down to s = -24 and rise up continuously after that.
Step-by-step explanation:
Order each group of fractions from greatest least
Answer:
3/5, 1/5, 1/6
Step-by-step explanation:
3/5 is greater than 1/5 and is the largest of these three fractions.
Comparing 1/5 and 1/6, realize that the larger the denominator, the smaller the value of the fraction. Thus, 1/5 is greater than 1/6.
Then, in order from greatest to least: 3/5, 1/5, 1/6
Find the measure of angle x.
155° X x
x = [?]
? "
Answer:
x = 155°
Step-by-step explanation:
This is called a vertically opposite angle.