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.
What is the radius and diameter of the following circle?
11 cm
Answer:
Diameter is 11cm, and the radius is 5.5
Step-by-step explanation:
To get the radius, just divide the size of the circle by 2
Diameter is the same size as the circle
Please help me thank you
Answer:
the answer is A
Step-by-step explanation:
they are 3 sets of 2.3. the 5 at the top represents the number of 2.3s that r there. so the answer is A
please help I would really Appreciate it so much
Answer:
I think it is b
Step-by-step explanation:
it is 3a times all of the numbers in parenthases
hope you pass your test
HAPPY NEW YEAR
Answer:
the answer is 15a+12ac+6ab
Step-by-step explanation:
3a(5+4c+2b)
(3a)(5+4c+2b)
(3a)(5)+(3a)(4c)+(3a)(2b)
15a+12ac+6ab
6ab+12ac+15a
hope this helps!
Please help me it’s due in a couple of minutes!!!!!!!!
Answer:
1/4 c. + 2 tbsp.
Step-by-step explanation:
3/4 c. = 12 tbsp.
12 / 2 = 6
6 tbsp. = 1/4 c. + 2 tbsp.
I need help with this last question I have here
Answer:
its d
Step-by-step explanation:
Answer:
C.
Step-by-step explanation:
The "quotient" is what you get after you divide 2 number, and in this case, you are dividing m/6.
the graph below shows the cost of tomato plants for each plant purchased. What is the cost of one tomato plant.
Answer:
2.50
Step-by-step explanation:
Answer:
2.5 so $2.50 is your awnser
While solving a numerical in Physics, Archana got the answer 2.387 x 107instead of 2.367 x 107due to a miscalculation. By how much does her answer differ from the correct answer? Show your work.
please answer quickly i have marks for it!!!
Answer:
correct answer = 2.367x107
wrong answer = 2.387x107
to find difference do big-small
or 2.387x107-2.367x107= (2.387-2.367)x107= 0.02x107=2.14
What is the sum of -7 1/6 + 3 5/6 in simplest form?
Answer:
-3 1/3
Step-by-step explanation:
What is the answer for - 2x + 3 > 15
Answer:
X < -6
Step-by-step explanation:
someone solve this please, find the interest.
Answer:
$2.09
Step-by-step explanation:
1.95*70%= 1.365 mark up
1.95+1.37= 3.32 price
3.32*40% discount= 1.328
3.32-1.33 discount= 1.99 price
1.99*5% tax= .0995 tax
1.99+0.10 tax= 2.09 total price
Ashley is a software saleswoman. Her base salary is $1,500, and she makes an additional $60 for every copy pf history is fun she sells. Let P represent her total pay (in dollars), and let N represent the number of copies of History is Fun she sells. Write an equation relating P to N. Then use this equation to find her total pay if she sells 23 copies of History is Fun
Answer:
2,880
Step-by-step explanation:
P + 60N = x
1500 + 60(23) = x
1500 + 1380 = x
2880 = x
Tanner is preparing dinner plates. He has 36 pieces of chicken and 16 rolls. If he wants to make all the plates identical
without any food left over, what is the greatest number of plates Tanner can prepare?
Answer:
4
Step-by-step explanation:
First, we find the greatest common factor of 36 and 16.
36 = 2^2 * 3^2
16 = 2^4
GCF = 2^2 = 4
He can make 4 plates.
which is not a justification for the proof
a. pieces of right triangles similarity theorem
b. side side side similarity theorem
c. substitution
d. addition property of equality
Answer: B.Side side side similarity theorem
Step-by-step explanation:
Hope this helps <3
^^^^ B.Side side side similarity theorem is correct
i just took the test and it was right!
describe this graph below in 2-4 sentences.
Answer:
Step-by-step explanation:
Polynomial with a degree of 3 (due to 3 intersection points). Since the end of the graph is approaching positive infinity, we also know the equation of this graph has a positive coefficient.
(I don't know if you're in calculus yet, but...) We also know that there is a local min and local max, as well as inflection points as the graph changes concavity.
This is an example of a polynomial funciton because the graph of a polynomial function is a smooth continuous curve. Also, I had to graph a polynomial function in one of my past assignments, so I know its appearance.
PLEASE ANSWER I WILL MARK YOU BRAINLIEST!!!
9514 1404 393
Answer:
distributesubtractadddivide byStep-by-step explanation:
[tex]\begin{array}{rccl}&-2(5x+8)=14+6x\\\text{Step 1:}&-10x-16=14+6x&\text{distribute}&\text{-2 to $5x$ and 8.}\\\text{Step 2:}&-16x-16=14&\text{subtract}&6x\\\text{Step 3:}&-16x=30&\text{add}&16\\\text{Step 4:}&x=\dfrac{30}{-16}&\text{divide by}&-16\end{array}[/tex]
At each step after the first, we use one of the properties of equality to simplify the equation. In the first step, we use the distributive property to eliminate parentheses.
_____
Additional comment
Note that the first step could have been "divide by -2", which would result in the equation 5x+8 = -7 -3x. Subsequent steps would add 3x, subtract 8, and divide by 8, to give a result of x=-15/8. There is usually more than one way to work a math problem.
What is the fraction that is halfway between 1/3 and 1 1/2
Answer:
17/6 or 18/6
Step-by-step explanation:
1/3 11/2 first make sure they have the same bottom number
2/6 33/6 now find the in between
please give me a brainliest if this helps
can somebody please help me
Answer:
[tex]C.650,000\ pounds[/tex]
Step-by-step explanation:
[tex]We\ are\ given,\\No.\ of\ superheroes\ =3\ superheroes\\Weight\ in\ Tons\ 3\ superheroes\ can\ lift\ together=975\ tons.\\Hence,\\As\ we\ know\ that,\\1\ ton=2000\ pounds\\Hence,\\Weight\ in\ Pounds\ 3\ superheroes\ can\ lift\ together=975*2000\ pounds\\Hence,\\Weight\ in\ Pounds\ 3\ superheroes\ can\ lift\ together=1,950,000\ pounds\\Hence,\\Weight\ in\ Pounds\ 1\ superhero\ can\ lift=\frac{Weight\ in\ Pounds\ 3\ superheroes\ can\ lift}{No.\ of\ superheroes}\\[/tex]
[tex]Hence\ by\ substituting\ values,\\Weight\ in\ Pounds\ 1\ superhero\ can\ lift=\frac{1,950,000}{3}= 650,000\ pounds[/tex]
what is the MAD of 82, 72, 45, 91, 58, 83, 65, 87, 90, 77, 73, 89 ?
I'm very confused.
Answer:
11.16
Step-by-step explanation:
hope this helps
factor the following question completely
6x - 4x2
Answer:
Factor 2x out of 6x-4x^2
2x(3-2x)
Hope this helps :)
Solve the inequality.
4x - 12 < 16
Answer:
x<7
I Believe
Solve The System: 3x + y = 7
4x + 2y = 16
Answer: 3x+y=7 answer for that one is x=7/3-y/3
4x+2y=16 the answer for that is x=4-y/2
Step-by-step explanation:
The triangles shown below may not be congruent.
A. True
B. False
Answer: B. False.
They are in face Congruent! :)
What would the perimeter of a triangle be if the side lengths were 5x+2, 3x-5, and x+10
James social studies test scores for the semester are shown below 83 91 79 83 89
Answer:
avarage will be=85
Step-by-step explanation:
6. Write this equation in slope-intercept form. 7x = 3y - 12
Answer: is y=7/3x+4
Step-by-step explanation:
1) add twelve to both sides- this will cancel out the 12
2)you now have 7x+12=3y
3) divide three on both sides. note you put everything over three on the left
4) 7 over 3 (x)+4=y is what you get when you finish doing the simple computations
5) flip the whole thing around so it fits the form. remember that addition can be anywhere as long as you don't switch sides of the equation
you will get: y=7/3x+4
Answer:
ans is
x/-1power 2/7 +y/4 =1
Peter says, "If you subtract 19 from my number and multiply the difference by - 7, the result is
- 140." What is Peter's number?
Peter's number is
Answer:
39
Step-by-step explanation:
His number is x.
"If you subtract 19 from my number"
x - 19
"and multiply the difference by - 7"
-7(x - 19)
"the result is -140."
-7(x - 19) = -140
Divide both sides by -7.
x - 19 = 20
Add 19 to both sides.
x = 39
Answer: The number is 39.
Pls can any one help me with question two pls
Someone kind answered question one for me soo can u pls answer question two for me plssss
Answer:
b is the correct answer
parallel lines, transversal, and algebra really need help
Answer:
1. 58 = 5x-2, 60 = 5x, x = 12
2. 134 = 16x+22, 112 = 16x, x = 7
3. 125 = 7x-1, 126 = 7x, x = 18
4. 133+9x+2 = 180, 9x=45, x=6
5. 8x-77 = 3x+38, 5x = 115, x=23
6. 11x-47 = 6x-2, 5x = 45, x=9
7. 13x-21 = 5x+75, 8x = 96, x=12
8. 5x+3+9x-33 = 180, 14x = 210, x=15
9. 8x-31 = 6x+3, 2x = 34, x=17
5y+35+6(17)+3 = 180, 5y = 40, y = 8
10. 29x-3+15x+7 = 180, 44x = 176, x=4
13y-17+15(4)+7 = 180, 13y = 130, y=10
1. x = 12
2. x = 7
3. x = 18
4. x = 5
5. x = 23
6. x = 9
7. x = 12
8. x = 15
9. x = 17; y = 8
10. x = 4; y = 10
To find the value of each missing variable(s), we would need to apply our knowledge of algebra. However, recall the following rules of angles in parallel lines:
corresponding angles are congruent (i.e. equal to each other)vertically opposite angles are congruent alternate angles are congruent same-side interior angles are supplementary (i.e. sum up to give 180°alternate exterior angles are congruent.Let's solve the given problems as shown below given that line l is parallel to line m:
1. [tex]58 = (5x - 2)[/tex] (corresponding angles)
solve for x
[tex]58 = 5x - 2\\58 + 2 = 5x - 2 +2[/tex] (addition property of equality)
[tex]60 = 5x \\\frac{60}{5} = \frac{5x}{5}[/tex](division property of equality)
[tex]12 = x\\x = 12[/tex]
2. [tex]134 = 16x+22[/tex] (alternate exterior angles)
[tex]\\134 - 22 = 16x +22-22[/tex] (subtraction property of equality)
[tex]134 - 22 = 16x +22-22\\112 = 16x\\\frac{112}{16} = \frac{16x}{16}[/tex](division property of equality)
[tex]7 = x\\x = 7[/tex]
3. [tex]7x - 1 = 125[/tex] (alternate angles)
[tex]7x - 1 + 1 = 125 + 1\\7x = 126\\\frac{7x}{7} = \frac{126}{7} \\x = 18[/tex]
4. [tex](9x+2) + 133 = 180[/tex] (same-side interior angles)
[tex]9x+2 + 133 = 180\\9x + 135 = 180\\9x + 135 - 135 = 180 - 135\\9x = 45\\\frac{9x}{9} = \frac{45}{9} \\x = 5[/tex]
5. [tex]3x+38 = 8x-77[/tex] (alternate exterior angles)
[tex]77 + 38 = 8x - 3x\\115 = 5x\\\frac{115}{5} = \frac{5x}{5} \\23 = x\\x = 23[/tex]
6. [tex]6x-2 = 11x-47[/tex] (corresponding angles)
[tex]6x-2 = 11x-47\\47 - 2 = 11x - 6x\\45 = 5x\\x = 9[/tex]
7. [tex]5x+75 = 13x - 21[/tex] (alternate angles)
[tex]5x+75 = 13x - 21\\21 + 75 = 13x - 5x\\96 = 8x\\12 = x\\x = 12[/tex]
8. [tex](5x+3)+(9x-33)= 180[/tex] (same-side interior angles)
[tex]5x+3+9x-33= 180\\14x - 30 = 180\\14x - 30 + 30 = 180 + 30\\14x = 210\\x = 15[/tex]
9. [tex]8x-31 = 6x+3[/tex] (alternate angles)
[tex]8x - 6x = 31 + 3\\2x = 34\\x = 17[/tex]
Solve for y
[tex](5y + 35) + (6x + 3) = 180[/tex] (same-side interior angles)
[tex]5y + 35 + 6x + 3 = 180\\[/tex]
Plug in the value of x
[tex]5y + 35 + 6(17) + 3 = 180\\5y + 35 + 102 + 3 = 180\\5y + 140 = 180\\5y = 180 - 140\\5y = 40\\y = 8[/tex]
10. [tex](29x-3)+(15x+7) = 180[/tex](supplementary angles)
Solve for y
[tex]13y - 17 = 29x - 3[/tex] (alternate exterior angles)
Plug in the value of x
[tex]13y - 17 = 29(4) - 3\\13y - 17 = 116 - 3\\13y - 17 = 113\\13y = 113 + 17\\13y = 130\\y = 10\\[/tex]
Learn more about parallel lines here:
https://brainly.com/question/16227989
Sue bought five sweatshirts all for the same price. The tax on the purchase was $2.50 and the total was $47.50. What was the cost of each sweatshirt?
Clara lends half her marker collection to her sister, Susan. Clara then buys four more markers. If she has 12 markers now, how many markers did Clara have initially?
show your work
HELP THANKYOUUUUU
Answer:
For the second question, the answer is 16 markers.
Step-by-step explanation:
12-4=8 8+8=16
Classify the polynomial by degree and number of terms.
2+3x^3-7x^3+10
Answer:
−4x^3+12
Step-by-step explanation:
2+3x^3-7x^3+10
simplify this
−4x3+12