Answer:
Step-by-step explanation:
[tex]y=-2sin (\frac{2\pi (t+1)} {7})+5\\Height ~is~maximum~\\if sin (\frac{2\pi (t+1)}{7} )=-1\\or~ \frac{2\pi (t+1)}{7} =\frac{3 \pi }{2} \\t+1=\frac{3\pi }{2} \times \frac{7}{2\pi } =\frac{21}{4} \\t=\frac{21}{4} -1=\frac{17}{4} =4.25 ~seconds.[/tex]
The weight reaches its maximum height at 4.25 seconds.
What is maximum height?
'The maximum height of the object is the highest vertical position along its trajectory.'
According to the given problem,
y = -2sin ([tex]\frac{2\pi ( t + 1 )}{7}[/tex]) + 5
For maximum height,
sin ([tex]\frac{2\pi ( t + 1 )}{7}[/tex]) = -1
⇒ [tex]\frac{2\pi ( t + 1 )}{7}[/tex] = [tex]sin^{-1} (-1)[/tex]
⇒ [tex]\frac{2\pi ( t + 1 )}{7}[/tex] = [tex]\frac{3\pi }{2}[/tex]
⇒ [tex]t +1=\frac{7 * 3\pi }{2 *2\pi }[/tex]
⇒ [tex]t +1[/tex] = [tex]\frac{21}{4}[/tex]
⇒ [tex]t = \frac{21}{4} -1[/tex]
⇒ t = [tex]\frac{17}{4}[/tex]
⇒ t = [tex]4.25[/tex] seconds.
Hence, we can conclude that at t = 4.25 seconds, the weight reaches its maximum height.
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How many gallons of 50% grape juice must be added to 16 gallons of 25%
grape juice to result in a mixture that is 40% juice?
Answer:
24 gallons of 50% grape juice
Step-by-step explanation:
if you have 1 gallon of 50% grape juice and 1 gallon of 25% grape juice, the resulting combination will be 2 gallons of 75/2% (or 37.5%) grape juice.
I guessed you would need about 1.5 times of the 50 % mixture to make the 25% mixture into 50 %. I checked, 1.5 times 16 is 24, so I calculated what is the average concentration (24*50 + 16*25)/40, and I got 40 so that guess was correct.
PLEASE HELP
Write an equation of the line containing the given point and parallel to the given line.
(9,-4); 8x-5y=9
What is the first step in simplifying the expression below?
[12 = (3 – 1) + 4] x 6
adding 1 and 4
dividing 12 by 3
subtracting 1 from 3
multiplying 4 by 6
Answer:
subtracting 1 from 3 is the correct answer of this question
The first step in simplifying the expression is subtracting 1 from 3.
Option C is the correct answer.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Step 1:
12 = [ (3 – 1) + 4] x 6 [ subtracting 1 from 3 ]
Step 2:
12 = [ 2 + 4 ] x 6 [ adding 2 and 4 ]
Step 3:
12 = 6 x 6 [ multiplying 6 and 6 ]
Step 3:
12 = 12
Thus,
The first step is subtracting 1 from 3.
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Pls help me ASAP
Doors for the small cabinets are 16.5 inches long. Doors for the large cabinets are 2.3 times as long as the
doors for the small cabinets. How many large doors can be cut from a board that is 10 feet long?
Answer:
Step-by-step explanation:
hhhh
can somebody find the slope and y-intercept pls ASAP!!!
Answer:
y intercept= 4
Step-by-step explanation:
Answer: slope=5
Y intercept=4
Step-by-step explanation:
Slope=rise/run
Here we rise 5 and over 1
5/1=5
The line passes y at 4 so that is the y intercept
okkwkkakskskskzkksnznnzbz
Write the equation of the line in slope-intercept form with a slope of 1/2 and a y-intercept of 0.
Answer:
y=1/2x
Step-by-step explanation:
y=mx+b
m is the slope and b is the y intercept
since b=0 you dont need to add it in, and you'd plug in the 1/2 wheere m would be
At Thompson Pass, 12 inches of snow fell during a 16 hour period. At this rate how much snow would fall in 24 hours? Pls help!
Answer:
18 inches of snow
Step-by-step explanation:
First, you'll have to find how much snow falls in a hour: 12/16 = .75 inches
Secondly, you'll multiply that by 24 to find the inches in a full day: 24 x .75 = 18
Answer:
18 inches of snow
Step-by-step explanation:
12:16
24 if you know the butterfly method which is 12/16=24 multiply 12 and 24 together and get 288 and then divide it by 16 which you get 18 inches of snow
If an electric kettle uses
2 1/4 kilowatts of energy in 1.5 hours, how much energy will it use in 3.5 hours?
Answer:
The energy used in 3.5 hours = 5.25 kilowatts
Step-by-step explanation:
Energy used by electric kettle:
[tex]2\frac{1}{4}=\frac{9}{4}=2.25[/tex] kilowattsTime taken by electric kettle:
1.5 hoursElectric kettle's rate in kilowatts per hour can be calculated by dividing the spent energy i.e. 2.25 kilowatts by the time taken i.e. 1.5 hours.
Therefore,
Electric kettle's rate = 2.25 kilowatts / 1.5 hour
= 1.5 kilowatts per hour
Thus, the energy used in 3.5 hours = 1.5 × 3.5
= 5.25 kilowatts
Therefore, the energy used in 3.5 hours = 5.25 kilowatts
Which equation has the correct sign on the product?
A. 50 : 7 = -350
B. 45(-6) = 270
C. (-20)7 = -140
D. (-3)(-16) = - 48
Answer:
The correct answer is C
Step-by-step explanation:
Answer:
C. (-20)7 = -140
Step-by-step explanation:
HOPE IT HEPLS :D
Triangle ABC is a right triangle. Point D is the midpoint of side AB and point E is the midpoint of side AC. The measure of angle ADD is 36°.?The proof, with a missing reason, proves that the measure of angle ECV is 54°. Which theorem can be used to fill in the missing reason?
Answer: D is the correct answer
Step-by-step explanation:
Just took the test
5x- 2y = 26
y +4= x
Answer:
x=6 y=2
Step-by-step explanation:
Solve for the first variable in one of the equations and then plug into the other.
StartFraction 4 over 5 EndFraction = StartFraction 9 over x EndFraction?
Answer:
x= 11.25
Step-by-step explanation:
cross multiply 9 by 5 divided by 4 and that would give you x
Find a solution to the equation y = 3x2 + 6x. please helpp
Answer:
sorry but i cant take it anymore so i cant answer your question.
Step-by-step explanation:
I would appreciate an answer!
Answer:
Step-by-step explanation:
so for the area of a triangle, it is base x hight and all divided by 2. Therefore it is 8 x 4 = 32 32/2 = 16
the area of the triangle is 16
Answer:
16 yd²
Step-by-step explanation:
In this question, we need to find the area of the triangle.
To find the area, we would use the equation A = 1/2bh or A = b·h/2
Plug in and solve:
A = 4·8/2
A = 32/2
A = 16
The area of the triangle is 16 yd²
Don't forget that the unit is squared when its related to the area of a figure.
103 x 8.5% what is it I have been doing this for hours
Answer:
8.755
your welcome!
A ladder 9m long reaches a point 9m below the top of a vertical flagstaff. From the
foot of the ladder, the angle of elevation of the flagstaff is 60°. Find the height of the
flagstaff
I’ll giv Brainlist and gave a good day
What is 3x 3 1/4
Answer:
Answer: 9.75
Step-by-step explanation:
Answer:
9.75 or 9 3/4
Step-by-step explanation:
I solved this by converting 3 1/4 into a decimal which is 3.25 Then, I simply multiplied this by 3.
3.25
× 3
---------
9.7 5
If you want you can convert it back to a fraction which is 9 and 3/4
Translate the word phrase into a math expression.
1 less than a number.
A. n + 1
B. 15 ÷ n
C. 1−n
D. n−1
Answer:
its d cuz im a big brain :)
Answer:
it's D
Step-by-step explanation:
because the answer is n-1. but i am sure 100%
Brett's graduation picnic will cost $22 if it has 11 attendees. At most how many attendees
can there be if Brett budgets a total of $38 for his graduation picnic? Solve using unit rates.
attendees
Answer:Brett can invite 19 attendees.
Step-by-step explanation:
Let x=number of attendees
$22/11attendees=$2/1attendee(divide the top and bottom of the fraction by 11)=$38/x
Cross multiplication:
2x=38(1)
2x=38
x=19
Y>1/2x+8
Y<-x-1
Solve the following system of intequalities graphing
Answer:
The attached figure shows the solutions to the system of inequalities
The solution of the system of the inequalities is all points lie on the area of the common shading (red and blue), not on the lines
Step-by-step explanation:
Let us find two points on each line to draw them
∵ y = [tex]\frac{1}{2}[/tex] x + 8 is the equation of the line
→ Put x = 0
∵ y = [tex]\frac{1}{2}[/tex] (0) + 8
∴ y = 8
∴ The point 1st point is (0, 8)
→ Put x = 2
∵ y = [tex]\frac{1}{2}[/tex] (2) + 8
∴ y = 1 + 8
∴ y = 9
∴ The point 2nd point is (2, 9)
∵ The sign of the inequality is >
∴ The line is a dashed line and the shading area is over the line
The red line and the red shading represent the solutions to the inequality
y > [tex]\frac{1}{2}[/tex] x + 8
∵ y = -x - 1 is the equation of the line
→ Put x = 0
∵ y = -1(0) - 1
∴ y = 0 - 1
∴ y = -1
∴ The point 1st point is (0, -1)
→ Put x = 2
∵ y = -1(2) - 1
∴ y = -2 - 1
∴ y = -3
∴ The point 2nd point is (2, -3)
∵ The sign of the inequality is <
∴ The line is a dashed line and the shading area is under the line
The blue line and the blue shading represent the solutions to the inequality y < -x - 1
The solution of the system of the inequalities is all points lie on the area of the common shading (red and blue), not on the lines
In the image below, the corresponding angle to angle 1 is angle
PLEASE HURRY AND ANSWER THIS AND ANOTHER QUESTION JUST CLICK MY PROFILE
THANK YOU SO MUCH!!!!!!!!!!!!!!!!!
Answer:
angle 8
Step-by-step explanation:
Answer:
I believe it is angle 8 i got that question right on my test
Step-by-step explanation:
Your mother asked you to turn the
oven down to 325ºF. This is 75ºF
less than it was. Write an equation
and then solve to find what was the
original temperature.
Answer:
400 degrees
Step-by-step explanation:
Someone help!! With this question please
Subtract
8x - (5+4x)
Answer:
4x-5
Step-by-step explanation:
first make the equation easier 8x -1(5+4x)
then simplify with the parenthesis 8x -5-4x
then combine like terms 4x-5
there is you answer
Answer: The answer is 4x−5
Step-by-step explanation:
Distribute the Negative Sign:
=8x+−1(5+4x)
=8x+(−1)(5)+−1(4x)
=8x+−5+−4x
Combine Like Terms:
=8x+−5+−4x
=(8x+−4x)+(−5)
=4x+−5
For a group of objects of the same material, the weight of an object varies directly with its volume. If an object that has a volume of 30 cubic inches weighs 24 ounces, what is the constant of variation?
Answer:
4/5 oz / cu in
Step-by-step explanation:
The standard equation of direct variation is:
y = kx
where y varies directly with x, and k is the constant of variation.
24 oz = k * 30 cu in
k = 24/30 oz / cu in
k = 4/5 oz / cu in
During and 8-hour shift, a highway toll worker collected 672 tolls. The number of tolls collected per hour is represented by c.
Part 1: Select the equation that represents the situation.
Answer:
680
Step-by-step explanation:
Need help! Please someone I’ve been stuck on this assignment for a very long time confused
Answer:
24
Step-by-step explanation:
If you see the big picture, you would realise ABC is actually a triangle so that means all the angles in it add up to 180°. The angle nearest point B is 90° since it is a right angle, the point nearest A is 66°, so you are able to find then angle nearest C, which is the angle of elevation.
Angle of elevation = 180° - 90° - 66°
= 24°
(30 points)
What is the equation in point slope form of a line that passes through the point (−8, 2) and has a slope of 1/2?
Its drag and drop into boxes each - represents a box
- - - = - ( - - - )
these are useable:x, y, -1/2, 1/2, 2, 4, 8, +, -, =
each number/symbol/variable are able to be used multiple times
Answer:
y-2=1/2(x+8)
Step-by-step explanation:
How muck longer is a pencil than a glue stick ?
Answer:
2 in
Step-by-step explanation:
