Given the position function s(t), you can get the acceleration function by differentiating s twice:
velocity = s'(t) = -5 sin(t ) + 3 cos(3t )
acceleration = s''(t) = -5 cos(t ) - 9 sin(3t )
Then when t = π, the particle's acceleration is
s''(π) = -5 cos(π) - 9 sin(3π)
… = -5 • (-1) - 9 • 0 = 5
A collect call costs $5.99 to connect plus 99 cents per minute. What is the cost of a 6 minute call?
Answer:
$11.93
Step-by-step explanation:
You can write an equation to represent this scenario, where x is the number of minutes spent on the call and y is the total cost of the call.
[tex]y=0.99x + 5.99[/tex]
Plug in 6 for x:
[tex]y=0.99(6)+5.99[/tex]
Multiply 6 x 0.99, representing the fact it costs 99 cents per each minute spent on the call:
[tex]y=5.94+5.99[/tex]
Add the sum of the $5.99 cost to connect the call, plus the charge ($5.94) for spending six minutes:
[tex]y=11.93[/tex]
Your answer is $11.93!
Please help ASAP!!
The question is attached
Answer: A
3/4 equals 6/8 and 9/12 and 12/16
Please help, I have no clue what I’m doing
Answer: x= negative 6
if thats what its asking for
Step-by-step explanation:
The trapezoid ABCD has bases AB = 15 and CD = 5, thigh AD = 9 and diagonal BD = 12. Find:
a) the height h
b) S
c) the perimeter P of the trapezoid
Please someone help me
Answer:
The height of the trapezoid is 6.63 units
The perimeter of the trapezoid is 38 units
Step-by-step explanation:
Whenever a geometry problem is given, it is often useful if it is sketched out. A sketch of this problem can be found in the image attached.
A)
We can see that a right-angled triangle is formed between points BED, with line BE being the height, h.
To get the dimensions of the line EB, we subtract the dimensions of DC from AB. This will give 15 -5 = 10
hence the dimensions of the righ angled triangle are
DE= h
DB = 12 (diagonal)
EB = 10
From Pythagoras' theorem,
[tex]h =\sqrt{12^2 -10^2}=6.63[/tex]
The height of the trapezoid is 6.63
B)
We can get the perimeter of the trapezoid by adding the dimensions of all four sides together.
This will be
AD + DC + CB + AB
However we can assume for this case that it is a symmetrical trapezoid, and hence AD = CB
Thus, perimeter =
2 (AD) + DC +AB
2(9) +5 +15 = 38.
The perimeter of the trapezoid is 38 units
y = -3x - 5 ||| y = 9x + 7
A. (1,2)
B. (1,-2)
C. (-1,2)
D. (-1,-2)
E. No solution
F. Infinite solutions
PLEASE HELP ITS DUE TODAY
Answer:
d. (-1,-2)
Step-by-step explanation:
-3x-5=9x+7
-5=12x+7
-12=12x
-1=x
y=-3x-5
y=-3(-1)-5
y=3-5
y=-2
In a survey of 2,800 people who owned a certain type of car, 1,540 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car?
Answer:
55%
Step-by-step explanation:
Calculation for What percent of the people surveyed were satisfied with the car
Percentage of people satisfied=1,540 people/2,800 people
Percentage of people satisfied=0.55*100
Percentage of people satisfied=55%
Therefore the percent of the people surveyed were satisfied with the car is 55%
plz help quick will give brainly
What is the difference between the opposite of 12 and the absolute value of 12? Use a number line to explain.
Answer:
Opposite 12= -12
Absolute value of 12: Just -12.
Step-by-step explanation:
I don't know.
I'm crying I have to get this done in like 30 minutes or else my mom is literally gonna beat my a.ss please
First equation: t=b-4
Second equation: b+t=348
Since t is in terms of b from the first equation, this expression can be substituted into the second equation where t appears. Write an equation that shows this substitution.
Type the equation:
Answer:
equation: b+(b-4)=348
Step-by-step explanation:
B+t=348
b+ 1(b-4)=348
b +b -4=348
this is if u want what b is
2b-4=348
2b-4+4=348+4
2b= 352
2b÷2 = 352÷2
b=176
47 POINTS AND BRAINLIEST PLZ HELP ME
When you load 8 identical chairs into a crate, the total weight is 66 lbs. When you load 11 of those same chairs into the same crate, the total weight is 84 lbs.
How many lbs does the crate weigh?
How much does each chair weigh?
Answer:
each chair weighs 6 lbs and the crate weighs 18 lbs.
Step-by-step explanation:
The solution is: 6 lbs does the crate weigh and, 18 lbs does each chair weigh.
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign. In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.
here, we have,
given that,
When you load 8 identical chairs into a crate, the total weight is 66 lbs. When you load 11 of those same chairs into the same crate, the total weight is 84 lbs.
let, each chair weigh = x
and, the crate weigh = y
so, we get,
the equations as:
8x + y = 66 ....(1)
11x + y = 84 ....(2)
now, solving this two equations,
we get,
subtracting (2) - (1),
3x = 18
or, x = 6
so, we have,
y = 18
Hence, The solution is: 6 lbs does the crate weigh and, 18 lbs does each chair weigh.
To learn more on equation click:
brainly.com/question/24169758
#SPJ3
Find the volume of a pyramid with a square base, where the side length of the base is
4.9 m and the height of the pyramid is 5.3 m. Round your answer to the nearest
tenth of a cubic meter.
Answer:
127.253 m^3
Step-by-step explanation:
To find the volume, we start by getting the area of the square base
Mathematically, that will be 4.9^2 m^2
To complete the volume, we multiply the area of the base by the height
= 4.9^2 * 5.3 = 127.253 m^3
Answer:
Step-by-step explanation:
42.4
I'm so confused. Helpppp.
Simplify: 3x + 4y + 7x - 2y
Answer:
10x+2y
Step-by-step explanation:
combine like terms
Answer:
Step-by-step explanation:
3x + 4y + 7x - 2y=3x + 7x +4y - 2y
10x + 2y
Milo's Ice Cream Factory sold more than 45 waffle cones yesterday. Which of the following inequalities represents the number of waffle cones Milo's Ice Cream Factory sold yesterday?
A.
x 45
D.
x < 46
Answer:
I believe the answer would be x<46
Answer:
I'm fairly sure that it would be D, or the final answer.
Step-by-step explanation:
Since he sold more than 45 waffle cones, x would not equal 45. This is why D is correct. Hope it helps!
Two friends, Caleb and Ynez are both selling brownies for a class fundraiser. They decide to advertise how much buying a certain number of brownies will cost in two different ways
Which fraction and decimal forms match the long division problem?
A.4/15 and 0.26
B.4/15 and 0.26
C.15/4 and 0.266
D.15/4 and 0.26
Answer:
C would be the correct answer. :D
A farmer wants to fence in a square pasture for his sheep. The length of one side of the pasture is represented by ^2^3. What term represents the area of the pasture?
Answer:
4x^6
Step-by-step explanation:
Area of the square pasture = L² where:
L is the
length of one side of the pasture
Given
L = 2x³
Area of the pasture = (2x³)²
Area of the pasture =2x³•2x³
Area of the pasture = 4x^{3+3}
Area of the pasture = 4x^6
Hence the area of the pasture is 4x^6
2x+3x+5=x+25 taking a math quiz
Answer: x=5
Step-by-step explanation:
Answer:
Step-by-step explanation:
5x+5=x+25
Or,6x=30
Or,x=5
john drops a probe into a lake. the elevation of the probe changes by -1 1/2 feet every second. the probe takes 50 seconds to reach the bottom of the lake. how deep is the lake show your work
Answer:
The lake is 75 ft deep
Step-by-step explanation:
Here , we want to get the depth of the lake
mathematically, we can have this as the rate at which the elevation of the probe changes multiplied by the time it took the probe to reach the bottom of the lake
That would be;
3/2 * 50 = 75 feet
6 cm
8 cm
what’s the hypotenuse
Answer:
10 cm
Step-by-step explanation:
This is the Pythagorean triple 3, 4, 5, in which the two legs are multiples of 3 and 4, while the hypotenuse is a multiple of 5. Observing the given numbers it can be deduced that the second multiple of 5 is what is needed to complete this triple, therefor the hypotenuse must be 10 cm.
Gail rode her bicycle 325 miles in 5 days.
How many
miles did she ride each day?
Answer:
Our final answer is the average speed is 7 and 2/3 miles per hour
Step-by-step explanation:
We want to find the speed of Maria's bike (miles per hour). Realize that 3/4 of an hour is 45 minutes. So if we take the total miles (5 and 3/4 miles) and divide by 45 mins, we will get the total miles per min.
We can convert 5 and 3/4 miles to a single fraction -----> 5 and 3/4 = 5 +3/4 = 5/1 + 3/4 = 20/4 + 3/4 = 23/4
Now we take 23/4 and divide this number by 45. ( or multiply by 1/45). This answer is 23/180 and THIS NUMBER represents the total amount of MILES PER MIN. BUUUTT we want the total amount of MILES PER HOUR. What do we do?
We take the total miles per minute and multiply this answer (23/180) by 60 minutes [60 mins = 1 hour].
Thus (23/180)*60 = 1380/180 ----------> which is equal to 1260/180 + 120/180 = 7 + 2/3 = 7 and 2/3
Our final answer is the average speed is 7 and 2/3 miles per hour
Solving Inequalities, HELP PLEASE.!!
hjukhvfd816
11/03/2017
Mathematics
Middle School
answered
The Latino Rams at Englewood High school are seeking to raise at least $750 in a fundraiser to pay for their end-of-the year field trip to Islands of adventures.
Answer:
x ≥ $750
Step-by-step explanation:
If the measures of two angles of a triangle are 102° and 27°, what is the measure of the third angle?
The measure of the third angle isº
Step-by-step explanation:
therefore the third angle is 51 degrees
what is 8+3-2=a
helpppp
The tip for excellent service in a restaurant is $25 for every $100 of the meal. What is the total bill (cost of meal plus tip) for a $75 meal?
A. $25
B. $93.75
C. $125
D. $100
If 10x +5 = 100, is x greater than 10 or less than 10? Without solving the equation, explain how you
know.
Answer:
Step-by-step explanation:
X is less than 10 because you have the plus in the equation and so it as to be less than ten so that when you multiply it by 10 it equals less than 100. I don’t know if my explanation makes sense but I hope it helps.
What is the x intercept of the line below?
Answer:
i think it is -5
Step-by-step explanation:
-5
In a room of 33 students, 12 are taking geogra-
phy, 14 are taking history, and 5 are taking both
geography and history. How many of these
students are not taking either geography or
history?
Answer:
2
Step-by-step explanation:
all of those equal 31
Answer:
31
Step-by-step explanation:
3) The price of a math book is $50, but you only have $35 with you. If you
get a discount of 20%, how much money do you need to borrow from a
friend so that you can buy the book?
Work Area
4) The price of a telephone is $200 at Walmart and $240 at Target. If you
get a 15% discount at Target, where would you go to buy the telephone?
santiago drew a scale drawing of a community college. he used the scale 2 centimeters : 1 meter. The actual length of a building at the college is 76 meters. how long is the building on the drawing ?
Answer:
The building is 152 cm long.
Step-by-step explanation:
-We can solve using proportion!:
[tex]\frac{2 cm}{1 meter} = \frac{x}{76 meters} \\\\\frac{1x}{1} =\frac{152}{1} \\\\\\x = 152[/tex]
What’s the solution for x- 4 = 2
Answer:
6
Step-by-step explanation:
6-4=2
Answer: x=6
Step-by-step explanation:
x-4=2
x = 2+4
x=6
Check: 6-4=2