Answer:
7
Step-by-step explanation:
The distance between points A and B is 7.
Have a great day! :)
and can I please have brainliest?
What is the value of c so that −15 and 15 are both solutions of x^2−c=157?
Answer: -c= 157+X^2
Step-by-step explanation:
Help PLS ILL GIVE BRAINLIEST FOR CORRECT ANSWER
A: 4.5 ounces
B: 8 ounces
C: 280 ounces
D: 288 ounces
Answer:
what's the question for this?
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.
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)
A bag contains 6 red marbles, 4 black marbles, and blue 5 blue marbles. A marble is picked without looking into the bag. Determin the probobility of picking out a blue marble
Answer:
5/15
(1/3 if u want it simplified)
(about 33.3 % if you want percentage)
Step-by-step explanation:
6 + 4 + 5 = 15 total marbles
There are 5 blue marbles.
Find the measure of 2.
50 2.
1130
< 2 =
[?]
What is the volume of the rectangular prism?
Select the graph that correctly represents ƒ(x) = –2(x + 4)2 – 1.Find the equation of the parabola with its focus at (3,4) and its directrix y = 0.
Answer:
Equation of parabola: 8*(y - 2) = (x - 3)^2
or
y = (1/8)*(x - 3)^2 + 2
Step-by-step explanation:
focus at (3,4) and its directrix y = 0.
Focus equation: (h, k + c) = (3, 4)
Directrix equation y = k - c = 0
so h = 3, k + c = 4, k - c = 0
Solve the system : k + c = 4 and k - c = 0
add the equations together: k + c + k - c = 4 + 0
2k = 4
k = 2
so k + c = 4, 2 + c = 4, c = 2
4c (y - k) = (x - h)^2
4*2 *(y - 2) = (x - 3)^2
8*(y - 2) = (x - 3)^2
What Is 1 x 2 x 3 x 4 x 5/2
Answer:
60
Step-by-step explanation:
Please refer to the attachment
What is the value of x?
Enter your answer in the box.
X=l_l
9514 1404 393
Answer:
x = 62
Step-by-step explanation:
The angle marked x° is shown as the complement of the angle marked 28°. This means ...
x = 90 -28 = 62
The scale on a map is 1 inch = 40 miles. If two towns are 90 miles apart, how far apart on the map should they be?
please help
Answer: 2.25
Step-by-step explanation: This is because 2.25*40 is 90
Hope this helps and brainliest would be appreciated
An expression equivalent to -4(2k-6)
Answer:
-8k + 24
Step-by-step explanation:
Is your expression.
Solve for x Enter the solutions from least to greatest . (x - 4)(- 5x + 1) = 0 lesser x = greater x =
Answer: lesser x = 1/5 greater x = 4
Step-by-step explanation:
Plzz help me I am timed plzz!
Answer:
B) 2
Step-by-step explanation:
6/3 = 2
3/3 = 1
6÷3 = 2
Hopefully this helps :3 Sorry if wrong :( Plz mark brainiest if correct :D Your bootiful/handsome! Have a great day luv <3
-Bee~
What is the slope of the line that goes through (-3, 2) and (3, 2)?
Answer:
m = 0
Step-by-step explanation:
Hope this helps:)
Can you please help me figure out where to start so I can teach this to my child?
Answer:
all of the brackets first
Answer:
Step-by-step explanation:
Those consecutive angles must sum to 180 degrees.
7x+9+7y-4=180
7x+7y+5=180
7x+7y=175
x+y=25
x=25-y
We also have
11x-1+2y+5=180
11x+2y+4=180
11x+2y=176, using x=25-y that we found above makes this
11(25-y)+2y=176
275-11y+2y=176
-9y+275=176
-9y=-99
y=11, and since x=25-y
x=25-11
x=14
Finally
z+7x+9=180
z+7x=171
z=171-7x, we found that x=14 earlier so
z=171-7(14)
z=171-98
z=73
So the three values are
x=14, y=11, and z=73 degrees.
The lines below are parallel. If the slope of the green line is -2, what is the
slope of the red line?
Answer:
C. -2
Step-by-step explanation:
All parallel lines have the same slope
Someone please help me ASAP please anyone I need help now
What is the distance between point (5, 9) and its reflection across the x-axis?
Answer:
10 units
Step-by-step explanation:
equation, find y when x=-3.
y = -x + 5
When x = -3, y =
Find the unknown value in the proportion. 3/5 = x/20. what is the value of
X?
The length of a cell phone is 1.41.4 inches and the width is 4.44.4 inches. The company making the cell phone wants to make a new version whose length will be 1.751.75 inches. Assuming the side lengths in the new phone are proportional to the old phone, what will be the width of the new phone?
Answer:
Step-by-step explanation:
Answer:
5.573.75
Step-by-step explanation:
because math
Jose Luis desea colocar una línea de azulejos alrededor de toda la piscina de su casa. La piscina tiene forma rectangular con un ancho de 10 m y una longitud de 25 m. , ¿cuántos metros lineales de azulejos necesitará comprar?
Answer:
70
Step-by-step explanation:
2 x (25 + 10) = 2 x 35 = 70
Plz answer will mark brainliest
Answer:
Step-by-step explanation:
w and d are the width and diagonal, respectively.
w = d/2 + 1 = (d+2)/2
Pythagorean theorem
w^2 + 8^2 = d^2
substitution
(d+2)^2/4 +64 = d^2
(d+2)^2 + 256 = 4d^2
d^2+4d+4 + 256 = 4d^2
3d^2-4d-260 = 0
Quadratic formula
d = [4±√( 4²-4(3)(-260))]/[2⋅3] = 10, -26/3
-26/3 is an extraneous solution, so d = 10 inches
w=d/2 +1 =6 inches
Ant‘s path = 8+6 = 14 inches
Beetle’s path = 10 inches
14 < 1.5(10)
Ant reaches food first.
CL 6-153
In 2012 the average cost for a new midsized car was about
$31,000. New car prices tend to go up about 2% every year.
a. What is the multiplier for this situation?
b. If this trend continues, what will the cost be in 4 years?
c. Write an equation to calculate the cost in n years. What does
each of the factors in your equation represent?
Answer:
A) The multiplier for this situation is 0.02.
B) The cost in 4 years will be $ 33,555.39.
C) 31,000 x 1.02 ^ N = X
Step-by-step explanation:
Since in 2012 the average cost for a new midsized car was about $ 31,000, and new car prices tend to go up about 2% every year, to determine what is the multiplier for this situation, what will the cost be in 4 years if this trend continues and to write an equation to calculate the cost in n years the following calculations must be performed:
A)
31,000 x 2/100 = X
31,000 x 0.02 = X
Thus, the multiplier for this situation is 0.02.
B)
31,000 x 1.02 ^ 4 = X
33,555.39 = X
Thus, the cost in 4 years will be $ 33,555.39.
C)
31,000 x 1.02 ^ N = X
Here, N represents the number of years over which the price increase will be calculated, and X represents the price after that number of years.
with one of these is a function
a
b
c
d
Answer:
It's B
Step-by-step explanation:
Answer:
B is a functional answer
Please help me fill out the numbers in the box and help me answer the question
9514 1404 393
Answer:
(1, 55), (4, 220), (5, 275)
times 55
Step-by-step explanation:
You know from life experience that the cost of tickets is often proportional to the number of tickets*. Here, you can check that by dividing the cost by the number of tickets for each of the table entries where both are given:
110/2 = 55 = 165/3
This tells you the cost of 1 ticket is 55. It also tells you the cost of 4 tickets will be 4×55 = 220, and the cost of 5 tickets will be 5×55 = 275.
In short, the cost in dollars is the number of tickets times 55.
_____
* Your life experience will also tell you that sometimes there is a "processing fee" that makes the relation non-proportional. No such fee is evident here.
__
Alternate solution
Since the relation is proportional, you can find the cost of 1 ticket by dividing the cost of 2 tickets by 2: 110/2 = 55. You can find the cost of 4 tickets by doubling the cost of 2 tickets: 2×110 = 220. You can also find the cost of 5 tickets by adding the costs of 2 and 3 tickets: 110 +165 = 275.
WORTH 25 points!! NEED ASAP!! REALLY IMPORTANT
Answer:
V = (4.2)(7.5)·w
if w = 2 then V = 63 ft³
Step-by-step explanation:
V = l·w·h
V = (4.2)(7.5)(2)
V = 63
Use the distributive property to simplify the following expression: 3 (2 + 5z)
What is the difference between the first image and the second??
Answer:
There is only one image
Step-by-step explanation:
PLEASE HELP WILL MARK BRAINLIEST!!
What is the value of j?
Answer:
21
Step-by-step explanation:
simply
the square represents 90 degrees and 90 - 61 is 21