Answers
Answer:
If I am not mistaking is 6
Step-by-step explanation:
Answer number 1
Answer:
The answer is -2; answer 3).
Related Questions
You are traveling down a country road at a rate of 95 feet/sec when you see a large cow 300 feet in front of you and directly in your lane. The cow is fearless, and staring you down. (Or perhaps she does not understand the gravity of the situation.) Regardless, if you simply hit your brakes, after t seconds, the car will be j(t) = 95t - 9t^2 feet from the point where the brakes were first applied.
1) Must you steer to avoid the cow, or can you rely solely on your brakes? Explain.
2) Graph J(t), j'(t), and j"(t) and Interpret their meanings in context.
3) Is there a time t after which the graphs in part (ii) probably do not accurately model the path of the car?
4) Write a piece-wise function using j(t) that would more accurately model the path of the car on the interval [0, 10], assuming the car did not move after it stopped. Sketch this graph and its derivative.
Answers
Answer:
1) You can rely solely on your brakes because when doing so the car will just travel 250ft from the point you hit your brakes till the point the car stopped completely, leaving you 50ft away from the cow.
2) See attached picture.
j(t) represents the distance from the point you hit the brake t seconds after you hit it in feet
j'(t) represents the velocity of the car t seconds after the brakes have been hit in ft/s.
j"(t) represents the acceleration of the car t seconds after the brakes have been hit in [tex]ft/s^{2}[/tex]
3) yes, any time after t=5.28 will not accurately model the path of the car since at that exact time the car will reach a velocity of 0ft/s and unless another force is applied to the car, then the car will not move after that time.
4) [tex]j(t)=\left \{ {{95t-9t^{2}; 0\le t<5.28s} \atop {250.69; 5.28s\leq t \leq 10s}} \right.[/tex]
[tex]j'(t)=\left \{ {{95-18t; 0\leq t<5.28s} \atop {0 ; 5.28s\leq t \leq 10s}} \right.[/tex]
(see attached picture for graph)
Step-by-step explanation:
1) In this part of the problem we need to find the time when the speed of the car is 0. Gets to a complete stop. For this we will need to take the derivative of the position function so we get:
[tex]j(t)=95t-9t^2[/tex]
[tex]j'(t)=95-18t[/tex]
and we set the first derivative equal to zero so we get:
95-18t=0
and solve for t
-18t=-95
[tex]t=\frac{95}{18}[/tex]
t=5.28s
so now we calculate the position of the car after 5.28 seconds, so we get:
[tex]j(5.28)=95(5.28)-9(5.28)^{2}[/tex]
[tex]j(5.28)=250.69ft[/tex]
so we have that the car will stop 250.69ft after he hit the brakes, so there will be about 50ft between the car and the cow when the car stops completely, so he can rely just on the breaks.
2) For answer 2 I take the second derivative of the function so I get:
[tex]j(t)=95t-9t^{2}[/tex]
[tex]j'(t)=95-18t[/tex]
j"(t)=-18
and then we graph them. (See attached picture)
j(t) represents the distance from the point you hit the brake t seconds after you hit it in feet
j'(t) represents the velocity of the car t seconds after the brakes have been hit in ft/s.
j"(t) represents the acceleration of the car t seconds after the brakes have been hit in [tex]ft/s^{2}[/tex]
3) yes, any time after t=5.28 will not accurately model the path of the car since at that exact time the car will reach a velocity of 0ft/s and unless another force is applied to the car, then the car will not move after that time.
4) [tex]j(t)=\left \{ {{95t-9t^{2}; 0\le t<5.28s} \atop {250.69; 5.28s\leq t \leq 10s}} \right.[/tex]
[tex]j'(t)=\left \{ {{95-18t; 0\leq t<5.28s} \atop {0 ; 5.28s\leq t \leq 10s}} \right.[/tex]
(see attached picture for graph)
Ana wants to place 11 plants on 3 shelves each shelf holds the same number of plants there are two plants that do not fit model this situation with an equation and a hanger diagram of p is a number of plants that fit on each shelf
Answers
Answer:
31
Step-by-step explanation:
The linear equaiton is 3p + 2 = 11.Then the number of plants that fit on each shelf will be 3.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
Ana wants to place 11 plants on 3 shelves each shelf holds the same number of plants there are two plants that do not fit.
Let 'p' be the number of plants in a row. Then the equation is given as,
3p + 2 = 11
Simplify the equation, then we have
3p + 2 = 11
3p = 11 - 2
3p = 9
p = 9 / 3
p = 3
The linear equaiton is 3p + 2 = 11.Then the number of plants that fit on each shelf will be 3.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
#SPJ5
Identify the y-intercept of the graph below
Answers
Answer:
I want to say it's A
Step-by-step explanation:
the y-intercept is where the line crosses through the y-axis.
What is the value of n ?
Answers
Answer:
n=10
Step-by-step explanation:
5n-20=3n
-20=-2n
10=n
If x = 3 units, y = 6 units, and h = 7 units, find the area of the parallelogram shown above using decomposition.
A.
63 square units
B.
84 square units
C.
21 square units
D.
42 square units
Answers
Answer:
A
Step-by-step explanation:
Answer:
A. 63 square units
Step-by-step explanation:
The person's answer above is correct. I have drawn a photo for reference!
The FDA regulates that fresh Albacore tuna fish that is consumed is allowed to contain 0.82 ppm of mercury or less. A laboratory is estimating the amount of mercury in tuna fish for a new company and needs to have a margin of error within 0.023 ppm of mercury with 97% confidence. Assume the population standard deviation is 0.143 ppm of mercury. What sample size is needed
Answers
Answer:
A sample size of 183 is needed.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.97}{2} = 0.015[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.015 = 0.985[/tex], so Z = 2.17.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
Margin of error within 0.023 ppm of mercury with 97% confidence. What sample size is needed?
We have to find n for which [tex]M = 0.023[/tex]. We have that [tex]\sigma = 0.143[/tex]. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]0.023 = 2.17\frac{0.143}{\sqrt{n}}[/tex]
[tex]0.023\sqrt{n} = 2.17*0.143[/tex]
[tex]\sqrt{n} = \frac{2.17*0.143}{0.023}[/tex]
[tex](\sqrt{n})^2 = (\frac{2.17*0.143}{0.023})^2[/tex]
[tex]n = 182.02[/tex]
We have to round up(182 is not quite in the desired margin of error), so a sample size of 183 is needed.
1pt = what fl oz please I need this asap
Answers
Answer:
16 fl oz
1 cup is 8
x2
16 fl oz.
PLS HURRY!!!
Ana needs to find the height of a triangle. She already knows the area of the triangle. She knows that the formula for finding the area of a triangle is
A
=
1
2
b
⋅
h
.
Which equation shows how she can rewrite this formula to help her find the height of the triangle?
A.
A
−
b
2
=
h
B.
h
=
A
2
+
b
2
C.
h
=
A
b
2
D.
2
A
b
=
h
Answers
Answer:
Step-by-step explanation:
if A = 1 2 b then it comes to h
how many people said their favorite color is either blue or red? your answer should be in a number not percentage.
blue: 32%
red: 20%
Answers
What is the area of the shaded region in the figure?
Answers
Answer:
look at the picture i sent please
What is the equation of a line that has a slope of -3 and passes through the point (2,5)?
A y=-3x - 1
B. y=-3x +11
C.y= 2/5x -3
D. y=5/2x-3
Answers
Answer:
B
Step-by-step explanation:
the answer is B y=-3x+11
solve the equation -3(x-3) ≤5(1-x)
Answers
Answer: x > line underneath it 4
HELP PLEASE I NEED SOME HELP!!
Answers
Answer:
D
Step-by-step explanation:
because it looks more centered to how the dots are scattered
Find the measure of 2.
50 2.
1130
< 2 =
[?]
Answers
= 130°
the answer is 130°
An expression equivalent to -4(2k-6)
Answers
Answer:
-8k + 24
Step-by-step explanation:
Is your expression.
Multiply the following using the vertical multiplication method:
x2 + 5x +1
x3x2 - 2x +4
O
A. 3x4 - 13x3 +3x2 + 18x + 4
B. 3x4 - x2 + 3x2 + x + 4
o
C. 3x4 + x2 + x2 +18x + 4
o
D. 3x4 +13x3 - 3x2 + 18x + 4
Answers
Answer:
a I think I might be a try it tell me if I am wrong
Helpppppppppp sjsndkejsnsnsb
Answers
Answer:
18.8 fleck dickon Dunn dream fun deep
Can some one help me with this ?
Answers
Answer:
its the same as 48
Step-by-step explanation:
Answer:
both sides are the same so it has to be also 48
Find the surface area of the rectangular prism.
HELP ME PLS ASAP PLS PLZ
Answers
Explanation: 9x3=27x2=54
7x3=21x2=42
7x9=63x2=126
54+42+126=222
4 times as much as the sum of 1/5 and 2/3
Answers
Answer:
3 7/15
Step-by-step explanation:
Hi,
4 (1/5 +2/3)
Find common denominators...
1/5 = 3/15
2/3 = 10/15
Add...
13/15
Now, multiply...
4 (13/15)
52/15
Simplify...
3 7/15
Hope this helped :)
Pleaseeeeeeeeeee helppppppppppppp
Answers
Answer:
2
Step-by-step explanation:
Trust me
ineeeddddddyoooouuuurrrrr hhhheeeellllpppp ppppllllssss
Answers
Hope this helps!
Answer:
d. you just have to multiply everything
You might need: Calculator
After a special medicine is introduced into a petri dish full of bacteria, the number of bacteria remaining in
the dish decreases rapidly.
The relationship between the elapsed time t, in seconds, and the number of bacteria, B(t), in the petri
dish is modeled by the following function:
B(t) = 8500
27
Complete the following sentence about the rate of change of the number of bacteria.
Round your answer to two decimal places.
Every second, the number of bacteria is multiplied by a factor of
Show Calculator
Answers
Answer:
0.67
Step-by-step explanation:
Find the area of the triangle bounded by the x-axis, the line y =8/7x, and the line perpendicular to y = 8/7x that passes through the point (5,21/8) Give your answer in exact form (as a fraction), or as a decimal, rounded to two decimal places.
Answers
Answer:
.
Step-by-step explanation:
ANSWER CORRECT FOR BRAINLIEST - 10 POINTS
Which step in the software development life cycle analyzes the scope of work?
Coding
Design
Planning & Analysis
Testing
Answers
Answer:
planning and analysis
Step-by-step explanation:
Find the perimeter
NO BOTS
And if you see one, then still say the answer.
Answers
Answer:
40 feet.
Step-by-step explanation:
10 + 13 + 17 = 40
Hi can you guys help me
Answers
Answer:
A, B, D
1/2, 4/2, 8/2
Step-by-step explanation:
Since all of the answer choices have common denominators, we can add the numerators to get 13.
Let's try out the different combinations.
1/2 + 4/2 + 2/2 = 7/2This fraction is not equivalent to 13/2.
4/2 + 2/2 + 8/2 = 14/2This fraction is not equivalent to 13/2.
1/2 + 2/2 + 8/2 = 11/2This fraction is not equivalent to 13/2.
1/2 + 4/2 + 8/2 = 13/2This fraction IS equivalent to 13/2, so the correct answer choices are A) 1/2, B) 4/2, and D) 8/2.
Evaluate each expression if m = 3 and n = 7. n to the power of 2 - 2m plz
Answers
Answer:
[tex]7^{2}[/tex] -2 * 3 is equal to 43
Step-by-step explanation:
4/15 x 6 in simplest form
Answers
Answer:
1.6
Step-by-step explanation:
0.2666 x 1.5996 ~ 1.6
so the answer is 1.6 :D
variable: 14 + n =27+14