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
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!
variable: 14 + n =27+14
What is the value of n ?
Answer:
n=10
Step-by-step explanation:
5n-20=3n
-20=-2n
10=n
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)
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
Answer:
a I think I might be a try it tell me if I am wrong
Can some one help me with this ?
Answer:
its the same as 48
Step-by-step explanation:
Answer:
both sides are the same so it has to be also 48
PLS HELP!! :))
Find the surface area of the rectangular prism.
Answer:
56
Step-by-step explanation:
2x4x7
ineeeddddddyoooouuuurrrrr hhhheeeellllpppp ppppllllssss
Answer:
d. you just have to multiply everything
Helpppppppppp sjsndkejsnsnsb
Answer:
18.8 fleck dickon Dunn dream fun deep
Pleaseeeeeeeeeee helppppppppppppp
Answer:
2
Step-by-step explanation:
Trust me
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
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
Answer:
Step-by-step explanation:
if A = 1 2 b then it comes to h
solve the equation -3(x-3) ≤5(1-x)
the ratio table to find 288 divided by 9 ?
Answer:
the answer is 32:1
Step-by-step explanation:
288 divided by 9 = 32 9 divided by 9 = 1 288:9=32:1The ratio of 288 divided by 9 is 32:1 .
Given,
288/9
Here
288 divided by 9
Firstly divide by the smallest factor of 288 and 9 .
Thus the smallest factor will be 3 .
So,
288/3 = 96
9/3 = 3
Now further simplify,
96/3
The resultant will be
96/3
=32/1
So the ratio will be,
288:9=32:1
Know more about ratio ,
https://brainly.com/question/26974513
#SPJ6
4/15 x 6 in simplest form
Answer:
1.6
Step-by-step explanation:
Hi can you guys help me
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.
4 times as much as the sum of 1/5 and 2/3
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 :)
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.
Answer:
.
Step-by-step explanation:
1pt = what fl oz please I need this asap
Answer:
16 fl oz
1 cup is 8
x2
16 fl oz.
What is the area of the shaded region in the figure?
Answer:
look at the picture i sent please
ANSWER CORRECT FOR BRAINLIEST - 10 POINTS
Which step in the software development life cycle analyzes the scope of work?
Coding
Design
Planning & Analysis
Testing
Answer:
planning and analysis
Step-by-step explanation:
Find the perimeter
NO BOTS
And if you see one, then still say the answer.
Answer:
40 feet.
Step-by-step explanation:
10 + 13 + 17 = 40
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
Answer:
0.67
Step-by-step explanation:
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
Answer:
B
Step-by-step explanation:
the answer is B y=-3x+11
HELP PLEASE I NEED SOME HELP!!
Answer:
D
Step-by-step explanation:
because it looks more centered to how the dots are scattered
Find the surface area of the rectangular prism.
HELP ME PLS ASAP PLS PLZ
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%
Evaluate each expression if m = 3 and n = 7. n to the power of 2 - 2m plz
Answer:
[tex]7^{2}[/tex] -2 * 3 is equal to 43
Step-by-step explanation:
An expression equivalent to -4(2k-6)
Answer:
-8k + 24
Step-by-step explanation:
Is your expression.
Find the measure of 2.
50 2.
1130
< 2 =
[?]