Answer:
Step-by-step explanation:
We can assign variables as:
d = original breaking distance
b = original speed of the vehicle
d′ = increased breaking distance
b′ = increased speed of the vehicle
We can look at it this way, originally it was like this:
d=kb2
Now, if we increase the speed to b’ which 200% more than b, we will have
d′=k(b′)2
d′=k(b+2b)2
d′=k(3b)2
d′=9kb2
Obtaining the difference between d and d’, we have
d′−d=9kb2−kb2
d′−d=8kb2
in terms of d
d′−d=8(kb2)
d′−d=8d
Adding d on both sides of the equation,
d′=d+8d
Which means the original breaking distance is increased by 800%. This is similar to the phrase “the speed of the vehicle is increased by 200%” which translates to “b + 2b”.
Hope this answer helps you :)
Have a great day
Mark brainliest
There is a 100% increase in the braking distance after 50% increase in speed.
What is speed?A body is said to be of speed v m/s if it travels v meter per second.
How to solve it?The braking distance of a car is directly proportional to the velocity of its speed(v m/s)
When the speed of the car is increased by 50% then the speed of the car v m/s becomes (3v/2) m/s.
The braking distance of a car is directly proportional to the square of its speed hence, the braking distance becomes
v²c where c is some constant.
So, the braking distance after 50% of the car speed is increased becomes (3v/2)²c₁, where c₁ is some constant.
Hence, the percentage change in the car's braking distance is
[tex]\frac{\frac{9}{4}-\frac{3}{2}}{\frac{3}{2}}[/tex]
[tex]=\frac{\frac{9-6}{4}}{\frac{3}{2}}\\=1[/tex]
That means there is a 100% increase in the braking distance after 50% increase in speed.
Learn more about speed here-
brainly.com/question/7359669
#SPJ2
Is this a function? Or is it not a function ? I’ll give brainlist.
Answer:
its a function something to remember is if anything on the y line (up and down) touches its not a function otherwise it is
Step-by-step explanation:
how do i solve this (see image)
Answer:
replace w with -4.
(7-4)-(-4+7)
3-3
p
Answer:
0
Step-by-step explanation:
(7+w) - (w+7)
Distribute the minus sign
7+w - w -7
Combine like terms
w-w +7-7
0
X-3 -2 -1 0 1
y 12 8 4 0 -4
What is the slope to this? I need an answer fast!
Answer:
-4
Step-by-step explanation:
Slope is found by
m = ( y2 - y1)/(x2 -x1)
= (-4 -0)/(1 -0)
-4/1
-4
On an 10-sided die, what is P(7) ?
Answer:
1/10
Step-by-step explanation:
7 is one number in a 10 sided die
9.
For the graph of the function, identify the axis of symmetry, vertex and the formula for the function.
A. Axis of symmetry: x = 0.5; Vertex: (0.5, –0.75); f(x) = –x2 – x – 1
B. Axis of symmetry: x = 0.5; Vertex: (0.5, –0.75); f(x) = –x2 + x – 1
C. Axis of symmetry: x = –0.5; Vertex: (–0.5, –0.75); f(x) = –x2 + x – 1
D. Axis of symmetry: x = 0.5; Vertex: (0.5, –0.75); f(x) = –x2 + 2x – 1
Answer:
Axis of symmetry: x = 0.5; Vertex: (0.5, –0.75); f(x) = –x2 + x – 1
Step-by-step explanation:
The answer is A because the axis of symmetry is in between 0 and 1, the vertex lies on 0.5 and -0.75, and the parabola opens down so the coefficient of a is -1, and the y-int or the value of c is -1
The vertex of the function is axis of symmetry is and the formula for the function is Option (a) is correct.
Further Explanation:
Given:
Calculation:
The standard form of the parabola is shown below.
Here, the parabola has vertex at and has the symmetry parallel to x-axis and it opens left.
The general form of the parabola can be expressed as follows,
The graph is a downward parabola.
From the graph it has been observed that the vertex of the parabola is
Symmetry of the graph is
The -intercepts of the graph is Therefore, the value of is
The value of is -1 as the graph is a downward parabola.
The vertex of the function is axis of symmetry is and the formula for the function is Option (a) is correct.
Learn more:
1. Learn more about unit conversion brainly.com/question/4837736
2. Learn more about non-collinear brainly.com/question/4165000
3. Learn more aboutbinomial and trinomial brainly.com/question/1394854
Answer details:
Grade: High School
Subject: Mathematics
Chapter: Conic sections
Keywords: vertex, symmetry, symmetric, axis, y-axis, x-axis, function, graph, parabola, focus, vertical parabola, upward parabola, downward parabola.
A basketball free throw can be modeled by a parabolic path, which can be represented by the function b(x) = - 0.25 x^2 + 4x, where x is time, in seconds, and b(x) is the height of the ball off the ground in feet.
What is the VERTEX and what do the coordinates mean in the context of the problem?
please solve algebraically
Answer:
The vertex of this problem is (8,16). This means that the highest height the ball reaches is at t = 8s, and this maximum height is of 16 feet.
Step-by-step explanation:
Vertex of a quadratic function:
Suppose we have a quadratic function in the following format:
[tex]f(x) = ax^{2} + bx + c[/tex]
It's vertex is the point [tex](x_{v}, y_{v})[/tex]
In which
[tex]x_{v} = -\frac{b}{2a}[/tex]
[tex]y_{v} = -\frac{\Delta}{4a}[/tex]
Where
[tex]\Delta = b^2-4ac[/tex]
If a<0, the vertex is a maximum point, that is, the maximum value happens at [tex]x_{v}[/tex], and it's value is [tex]y_{v}[/tex].
b(x) = - 0.25 x^2 + 4x
Quadratic equation with [tex]a = -0.25, b = 4[/tex].
Vertex:
[tex]x_{v} = -\frac{4}{2(-0.25)} = 8[/tex]
[tex]\Delta = 4^2-4(-0.25)(0) = 16[/tex]
[tex]y_{v} = -\frac{16}{4(-0.25)} = 16[/tex]
The vertex of this problem is (8,16). This means that the highest height the ball reaches is at t = 8s, and this maximum height is of 16 feet.
whats 2+2 then subtracting 3 which you then add 4 more?
Answer:
5
Step-by-step explanation:
2+2-3+4=5
(2+2)=4
(4-3)=1
(1+4)=5
Find the measure of an angle that is complementary to one find a Measure that is complementary to to name a pair of adjacent complementary angles
Answer:
1) 25deg. Angle EGF
2) 25deg. Angle BGC
3) Angle 2 and BGC or Angle 1 and EGF
A. B.
C. D.
This is urgent!!!
Answer:
1/8
Step-by-step explanation:
( 2^-1 / 2^0) ^3
First simplify inside the parentheses
We know that a^b / a^c = a^(b-c)
2^(-1-0) = 2^-1
( 2^-1 ) ^3
Then we know that a power to a power is
a^b^c = a^(b*c)
2^(-1 *3)
2^ -3
Then a negative exponent makes it a fraction
a^ -b = 1/a^b
1 /2^3
1/8
Iliana cubed the number of flowering plants in her garden, then added 2 vegetable plants. Let p represent the original number of plants in her garden. Which shows an expression to represent the total number of plants in her garden and the total number of plants if p = 3?
Answer:
p³+2; 29 plants
Step-by-step explanation:
Hi there!
Find the expression to represent the total number of plants in her garden
p
First, we're told that Iliana cubed the number of flowering plants in her garden. This means she raised the original number of plants by an exponent of 3.
p³
Then, we're told that she added 2 vegetable plants.
p³+2
Find the number of total plants if p=3
p³+2
= (3)³+2
= 27+2
= 29
Therefore, Iliana now has 29 plants in total.
I hope this helps!
Answer:
D
Step-by-step explanation:
can anybody tell me if this is correct please? thank you.
Answer:
Yep
Step-by-step explanation:
You're correct, Well done!
Answer:
Yes that is correct!
Step-by-step explanation:
(38 x 25)/100 = $9.50
38 - 9.50 = $28.50
help me to take the retake?
Answer:
1. (3, 2) --> (-x, -y) = b, (-3, -2)
2. (3, 2) --> (-y, x) = a, (-2, 3)
3. (7, 9) --> (-x, y) = d, (-7, 9)
4. (7, 9) --> (x + 3, y - 8) = e, (10, 1)
5. (-7, 9) --> (y, -x) = c, (9, 7)
Hope this helps!
f(x) = |x| transforms into function g by a horizontal reflection, shifts left 3 times and 1 time down. What is
g(x)?
Answer:
[tex]g(x) = -|x+3|-1[/tex]
Step-by-step explanation:
1. horizontal reflection - reflection on x-axis: [tex]g(x) = - f(x)[/tex]
[tex]g(x) = -|x|[/tex]
2. shift left 3: [tex]g(x) = f(x+h)[/tex]
[tex]g(x) = -|x+3|[/tex]
3. shift down 1: [tex]g(x) = f(x) - k[/tex]
[tex]g(x) = -|x+3|-1[/tex]
in a bag containing 3 black balls and 2 red balls , a ball is picked at random then replaced. A second ball is chosen.
What is the probability of :
I. both balls being black II.one is black ,the other is red.
2.in a class of 22 boys and 18 girls , two students are to be selected .
What is the probability of selecting two students of the same sex.
3 black and 2 red balls, total number is 5
i) Both balls are black:
P(BB) = 3/5*3/5 = 9/25ii) Black and red balls:
P(BR) = 2/5*3/5 = 6/25#222 boys and 18 girls, total number is 40
Combinations of 2 students:
40C2 = 40!/38!2! = 40*39/2 = 780Combination of 2 boys:
22C2 = 22!/20!2! = 22*21/2 = 231Combination of 2 girls:
18C2 = 18!/16!2! = 18*17/2 = 153Probability of selecting 2 students of the same sex:
P(BB or GG) = (231 + 153)/780 = 384/780 =96/195 ≈ 0.4923 = 49.23%I Need Help With this FLVS problem can anyone help me and my DBA is tomorrow
Answer:
B
Step-by-step explanation:
is 15 a whole number
1. yes
2. no
Answer:
1
Step-by-step explanation:
PLZ HELP ILL GIVE BRAINLY!!!!!!!!!!!!
Answer:
Step-by-step explanation:
(3-[tex]\sqrt{2[/tex])(3+[tex]\sqrt{2[/tex])
=(3)^2-([tex]\sqrt{2[/tex] )^2
=9-2
=7
The numbers m, n, p, and q are different, and
each is equal to one of the numbers 1,2,3,6, or 12. If 2m 69 = 2n= = P, what is the value of p?
Confused a bit, can you make sure you copy and pasted it right?
PLEASE HELP GIVING BRAINLY!
Answer:
Opposite angles are equal, all add to 360:
10x-7=83
10x=90
X=9
Z = (360-(83*2))
Z = 97
The price of an item has been reduced by 60% . The original price was $45 . What is the price of the item now?
Answer:
18
Step-by-step explanation:
Take the original price and multiply by the percent
45*60%
45*.60
27 - this is the amount of the reduction
Subtract this amount from the original price to get the new amount
45-27
18 - this the new price
PLEASE HELP ASAP - ILL GIVE BRAINIEST
Charlie and Leo were playing with toy cars. Charlie said to Leo that if you give me one car, then i will have twice as many cars as you have. Leo said if charlie gives him a car, they will be equal. How many cars does each boy have? HELP IN PLAYING A BATTLESHIP GAME
Step-by-step explanation:
C + 1 = 2(L-1)
C +1= 2L -2
C- 2L = -3 ......(eq.1)
L+1 = C-1
C- L = 2 .....(eq.2)
by elimination :
C - 2L = -3
C - L = 2
________-
- L = -5
L = 5
C = 2+5 = 7
so, Leo has 5 cars and Charlie has 7 cars
Answer:
Charlie=7, Leo=5
Step-by-step explanation:
cant explain
can somebody help me pleeaaassseee? 5 star rate
Answer:
x < 3/14
Step-by-step explanation:
-14x > -3
divide each side by -14
however, whenever multiplying or dividing an inequality by a negative value then you must reverse the inequality symbol
x < 3/14
Answer:
divide by -14:
[tex]x<3/14[/tex]
when you divide by a negative the sign flips
Please help im confused i was not here today.. Please reflect (-4,-3)??.
Find the slope of the line that passes through the pair of points
(3,-3), (3,-4)
A undefined
B 0
C -7/6
D -6/7
Answer:
undefined
Step-by-step explanation:
To find the slope through 2 points
m = ( y2-y1)/(x2-x1)
= ( -4 - -3)/(3 - 3)
= ( -4+3)/(3-3)
= -1/0
Since it is a number divided by zero, the slope is undefined
Pls help I’ll give crown
Answer:
76cm²
Step-by-step explanation:
The easiest way to find the area of a compound shape is to break it up into parts. I would divide it into a square and rectangle.
The area of the square is 4 times 4 which equals 16cm.
The area of the rectangle equals 12 times 5 which equals 60cm
Add the two together to end up with 76cm
I NEED HELP ASAP PLEASE !!!!!
Enter the coordinates of the point
on the unit circle at the given angle.
30°
[?]
2
Answer: [tex](\frac{\sqrt{3} }{2} ,\frac{1}{2} )[/tex]
Step-by-step explanation:
On a unit circle, the sine value is the y-coordinate and the cosine value is the x-coordinate.
Therefore, the coordinates for 30° on a unit circle would be:
(cos 30°, sin 30°)
= [tex](\frac{\sqrt{3} }{2} ,\frac{1}{2} )[/tex]
Un tubo puede contener 35 l de agua por metro si mide 97 metros ¿Cuanto pesara el agua que contiene al es lleno
Respuesta:
3395 L
Explicación paso a paso:
Dado que el tubo contiene 35 L de agua por metro.
Esto significa que el volumen por metro del tubo es de 35 litros.
Longitud total del tubo = 97 metros
Volumen de agua en toda la longitud del tubo:
Volumen por metro * 97
35 L * 97
= 3395 litros
Por lo tanto, peso cuando está lleno = 3395 L
Which of the following sets of numbers could represent the three sides of a right triangle?
A) {9,12,14}
B) {11,59,61}
C) {48,55,73}
D) {8,40,41}
9514 1404 393
Answer:
C) {48, 55, 73}
Step-by-step explanation:
In general, you see which sets of numbers satisfy the Pythagorean theorem. The tedium can be relieved slightly by letting a spreadsheet do the calculations.
The attachment shows us that triangle C is a right triangle.
_____
You may recognize some of the answer choice triples as being "near" some familiar Pythagorean triples:
{3, 4, 5} × 3 = {9, 12, 15} . . . near A)
{11, 60, 61} . . . . near B)
{9, 40, 41} . . . . near D)
The highlighted numbers are the indication that the nearby answer choice is NOT a right triangle.
