Answer: For time t ≥ 0 hours, let r(t) = 120 1 − e−10t2 represent the speed, in kilometers per hour, at which a ()
car travels along a straight road. The number of liters of gasoline used by the car to travel x kilometers is −x 2
modeled by g(x) = 0.05x 1 − e . ()
(a) How many kilometers does the car travel during the first 2 hours?
(b) Find the rate of change with respect to time of the number of liters of gasoline used by the car when
t = 2 hours. Indicate units of measure.
(c) How many liters of gasoline have been used by the car when it reaches a speed of 80 kilometers per
(a)
(b)
hour?
∫ 2 r (t ) dt = 206.370 kilometers 0
dg dg dx dx dt=dx⋅dt; dt=r(t)
2 : {1 : integral 1 : answer
3:{2:useschainrule
1 : answer with units
dg dt
t=2
dg
= dx ⋅r(2)
x=206.370
= (0.050)(120) = 6 liters hour
(c)
Let T be the time at which the car’s speed reaches 80 kilometers per hour.
Then, r(T ) = 80 or T = 0.331453 hours. At time T, the car has gone
x(T ) = ∫ T r (t ) dt = 10.794097 kilometers 0
and has consumed g(x(T )) = 0.537 liters of gasoline.
The Schwartz family spent a total of $111.75 for Internet service for 3 months. Each month they received $5.50 as a credit on the bill. Which equation and solution shows the cost of their monthly Internet service before the credit? 3 (x + 5.50) = 111.75; the monthly Internet service is $31.75 3 (x minus 5.50) = 111.75; the monthly Internet service is $42.75 One-third (x minus 5.50) = 111.75; the monthly Internet service is $42.75 One-third (x + 5.50) = 111.75; the monthly Internet service is $31.75
Answer:
3 (x + 5.50) = 111.75; the monthly Internet service is $31.75
Step-by-step explanation:
Let
x = monthly cost of internet service
Each month they received $5.50 as a credit on the bill.
The Schwartz family spent a total of $111.75 for Internet service for 3 months.
Total cost of internet service for three months = 3(x + 5.550)
111.75 = 3(x + 5.50)
111.75 = 3x + 16.50
111.75 - 16.50 = 3x
95.25 = 3x
x = 95.25 / 3
= 31.75
x = $31.75
Answer:
B
Step-by-step explanation:
i did it on edge2020:)
someone help me please i need this fast
Answer:
B, A vertical translation of 2 units.
Step-by-step explanation:
Its going up which means its positive NOT negative, vertical is up and down. Please put me branliest if I'm right which I'm very sure I am. Hoped I helped!
A miniature portrait of Frosty the Snowman is square and has an area of 100 square
centimeters. How long is each side of the portrait?
Answer:
25 centimeters
Step-by-step explanation:
Well a square has 4 sides, and 100 divided by 4 is 25.
Help will give crown
Answer:
x y
2 9
3 7
4 5
5 3
Step-by-step explanation:
Answer:
9
7
5
3
The order is from up to down
What is the equation of the line that passes through the point (-4,-6)(−4,−6) and has an undefined slope?
Answer:
x = -4
Step-by-step explanation:
there is no y-intercept when slope is undefined
Undefined slope indicates a vertical line passing through the x-axis at the x-coordinate of any known point
Arrange the expressions in increasing order of their values.
cos(52.5°)cos(7.5°)
sin(52.5°)cos(7.5°)
sin(52.5°)sin(7.5°)
cos(52.5°)sin(7.5°)
Answer:
cos(52.5°)sin(7.5°)
sin(52.5°)sin(7.5°)
cos(52.5°)cos(7.5°)
sin(52.5°)cos(7.5°)
In increasing order , the expressions are written as follows , cos(52.5°)sin(7.5°) , sin(52.5°)sin(7.5°) , cos(52.5°)cos(7.5°) , sin(52.5°)cos(7.5°).
What are Expressions ?Statements that have more than one term and a variable is connected to another variable by a mathematical operator are called Expressions.
The expression given are
cos(52.5°)cos(7.5°)
sin(52.5°)cos(7.5°)
sin(52.5°)sin(7.5°)
cos(52.5°)sin(7.5°)
To arrange them into increasing order , the value of it has to be determined.
cos(52.5°)cos(7.5°) = 0.6088 * 0.9914 = 0.6036
sin(52.5°)cos(7.5°)= 0.7933*0.9914 = 0.7865
sin(52.5°)sin(7.5°)= 0.7933*0.1305 = 0.1035
cos(52.5°)sin(7.5°)= 0.6088*0.1305= 0.07945
Therefore in Increasing order , the expressions are written as follows , cos(52.5°)sin(7.5°) , sin(52.5°)sin(7.5°) , cos(52.5°)cos(7.5°) , sin(52.5°)cos(7.5°).
To know more about Expressions
https://brainly.com/question/14083225
#SPJ2
8. 1/6 + (-7/9)
9. 11 5/7 + 8 1/7
10. 3/12 x 4/21
which expression is equivalent to 1/4m + 3/4m-3/8(m+1)?
Answer:
5/8m - 3/8
Step-by-step explanation:
1/4 m + 3/4 m - 3/8m - 3/8
to combine m’s, change 1/4 to 2/8. And 3/4 to 6/8.
2/8 m + 6/8m - 3/8 m - 3/8
2/8+ 6/8- 3/8= 5/8
5/8m - 3/8
2+2+4 because 1+1+1+1=4 easyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy
helpppppp plssssssss
Answer:
d
Step-by-step explanation:
I THINK
can sum one solve this plz
5(7+8)+(89-9)
Answer:
155
Step-by-step explanation:
• 5(15) + 80
• 75 + 80
• 155
Does someone knows how to solve this. Step by step?
Completing the Square:
x^2-6x=15
Answer:
[tex]x_1=3+2\sqrt{6}[/tex]
[tex]x_2=3-2\sqrt{6}[/tex]
Step-by-step explanation
[tex]\rule{100mm}{0.5mm}[/tex]
[tex]x^2-6x=15[/tex]
[tex]x^2-6x+\left(\dfrac{6}{2}\right)^2-\left(\dfrac{6}{2}\right)^2=15[/tex]
[tex]x^2-6x+3^2=15+3^2[/tex]
[tex]x^2-6x+9=15+9[/tex]
[tex](x-3)^2=24[/tex]
[tex]\sqrt{(x-3)^2} =\sqrt{24}[/tex]
[tex]x-3=\pm2\sqrt{6}[/tex]
[tex]\red{\boxed{x_1=3+2\sqrt{6}}}[/tex]
[tex]\red{\boxed{x_2=3-2\sqrt{6}}}[/tex]
[tex]\rule {100mm}{0.5mm}[/tex]
Select the correct answer. Which expression is equivalent to the given expression?
Answer:
B
Step-by-step explanation:
2x times x = 2x²
2x times -6 = -12x
1 times x = x
1 times -6 = -6
= 2x² - 12x + x - 6
= 2x² - 11x -6
A family is calculating the cost for one semester of college next year. Each hour of class will cost $155. A scholarship gift of $64 can be deducted from costs. If h is the number of hours taken, and c is the total cost, which equation can be used to calculate the total tuition costs for a semester?
C=89h
C=155h+64
C=155h-64
C=-155h-64
Answer:
c=155h-64
Step-by-step explanation:
you mulitply the cost of the classes by the amount of hours, then you deduct the scholarship gift(64) from the total and get your total cost of the semester
Part B
Choose the inequality that compares the numbers
Choose
Choose
0.25
I'm sorry but this question is very confusing but I believe you want me to choose 0.25?
<3 Enjoy,
Dea
Simplify (write in the smallest terms) the following expressions using the laws of exponents and distribution.:))) I WILL GIVE BRAINLIST: )))
Answer:
What is the equation without it I would say it is g or e
Step-by-step explanation:
Evaluate 9/m + 4 when m= 3
Answer:
7
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
9/3 + 4
3 + 4 =
7
YEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEET ON THE TOES
Answer:
SEOT EHT NO TEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEY
Step-by-step explanation:
In Exercises 27 and 28, find the domain of the function
represented by the graph. Determine whether the
domain is discrete or continuous. Explain.
Question 27
The graph on question 27 indicates that there are three points with the locations such as:
(2, 6)(4, 12)(6, 18)In other words, there are three points that lie on the graph with the x-values such as:
{(2, 6), (4, 12), (6, 18)}
We know that the domain includes the set of x-values.
Hence, the domain of the function is:
Domain: {2, 4, 6}Since the points are not connected between them. In other words, there is not a continuous line.
Thus, the function represented on the graph has a discrete domain.
Question 28
The graph on question 27 indicates that the line segment with the end-points (0, 25) and (7, 20).
Since there is a continuous line between the points from x = 0 to x = 7.
Thus, the domain of the line function is:
Domain: {0, 1, 2, 3, 4, 5, 6, 7}As the line segment is a continuous line. Thus, the domain is continuous.
please answer!
The equation d = 30 − 60h gives the distance d in miles that a bus is from the station h hours after leaving an arena. How far is the station from the arena?
A. 0.5 miles
B. 120 miles
C. 30 miles
D. 60 miles
Amswer
it is b Step-by-step explanation:
Cindy used 6feet of ribbon to wrap 10 gifts . How much ribbon will she use to wrap 25/gifts ? ( all the gifts are the same size)
Answer:
15ft
Step-by-step explanation:
if she used 6ft for 10 gifts, you would multiply 6 by 2 equalling 12.
then multiply 6 by .5, 3. add 3 and 12
the answers 15 sorry i couldnt explain better but ya
pleaSe mark brainliest
Please help!!
Use the given vectors to find the indicated quantities.
u =(5, - 2), v =(0, 1), w =(-1, -3)
(a) (u • v)w (b) 5u • V
Part (a)
Lets say we had the two general vectors
u = (a,b)
v = (c,d)
The dot product is
u dot v = a*c + b*d
-------------------
Apply that rule to these specific vectors
u = (5, -2)
v = (0, 1)
So we get
u dot v = 5*0 + (-2)*1
u dot v = 0 - 2
u dot v = -2
Therefore,
(u dot v)*w = -2*(-1, -3)
(u dot v)*w = ( -2*(-1), -2(-3) )
(u dot v)*w = (2, 6)
Answer: (2, 6)
=============================================
Part (b)
u = (5, -2)
5u = 5*(5, -2)
5u = (5*5, 5*(-2))
5u = (25, -10)
5u dot v = (25, -10) dot (0,1)
5u dot v = 25*0 + (-10)*1
5u dot v = 0 - 10
5u dot v = -10
Answer: -10
What angles are they ?
number 2 is your answer
Answer:
number 2 is your answer
Step-by-step explanation:
ben orders a case of his favorite macaroni and cheese. The case contains 18 same size boxes that weigh a total of 7.2 pounds .
Answer:
129.6
Step-by-step explanation:
that the answer I got so yea
Answer:
The answer is 18x = 7.2 x = 2.5.
Step-by-step explanation:
If your asking this question from iready then the answer is 18x = 7.2 x = 2.5
Bernie’s estimated that 69% of 242 is 168 is her estimate reasonable
Answer:
Yes it is.
Step-by-step explanation:
Best way is to use percentages you know when estimating.
We know 50% is half.
50% of 242 is 121.
So it has to be more than 121.
10% of 242 is 24.2 so add that to 121 and you get 145.2
You are 60% so far. You just need 9% more.
Add another 10% which is 24.2 and you get 169.4, which is over but we used 10% instead of 9% so the estimate is reasonable and close.
Crystal's gym membership costs $48 a month. Which table shows the sum of the
amounts that Crystal will pay for her gym membership over the next 4 months?
Answer:
it will cost 240$ dollars to pay for 5 month
Step-by-step explanation:
PLZ GIVE ME BRAINLEST
please help, i’ll give brainliest!
Answer: There is no correlation.
Step-by-step explanation:
Answer:
NO CORRELATTION
Step-by-step explanation:
2 x (3^3-5+8) pemdas
Answer:
60
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define Expression
2 × (3³ - 5 + 8)
Step 2: Evaluate
[Parenthesis] Exponents: 2 × (27 - 5 + 8)[Parenthesis] Subtract: 2 × (22 + 8)[Parenthesis] Add: 2 × 30Multiplication: 60write 13/5 as a mixed number
Answer:
2 3/5
Step-by-step explanation:
−3x^ 2 +6x+9=
factor
Answer:
the answer in factor form would be
-3(