When a driver needs to stop a car, the approximate stopping distance d(in feet) is given by the formula: d=0.05v^(2)+2.2v, where v is the speed of the car (in miles per hour). Suppose a car travels 200 feet before stopping(d=200). How fast was the car traveling?
Step-by-step explanation:
The approximate stopping distance d(in feet) is given by the formula :
[tex]d=0.05v^2+2.2v[/tex] ...(1)
Where
v is the speed of the car in mph
We need to find the speed of the car when the distance is 200 feet
Put d = 200 in equation (1)
[tex]0.05v^2+2.2v=200\\\\0.05v^2+2.2v-200=0[/tex]
It is a quadratic equation. Divide the above equation by 0.05.
[tex]v^2+44v-4000=0[/tex]
The solution of the above equation is given by :
[tex]v=\dfrac{-44\pm \sqrt{44^2- 4(1)(-4000)} }{2(1)}\\\\v=\dfrac{-44+ \sqrt{44^2- 4(1)(-4000)} }{2(1)},\dfrac{-44- \sqrt{44^2- 4(1)(-4000)} }{2(1)}\\\\v=44.96\ ft/h, -88.96\ ft/h[/tex]
Since, 1 mph = 5280 ft/hour
44.96 ft/h = 0.00851 mph
-88.96 = -0.0168 mph
Hence, this is the required siolution.
Which system has the same solution as the system of
equations shown?
3x + 2y = -5
2 + 3y = 5
O 6x+4y=-5
6x + y - 5
o
9x+6y=-15
4x + 6y - 10
O
6x+4y=-10
-6x + 9y - 15
6x+4y-- 10
6x + 9y - 5
Answer:
1
Step-by-step explanation:1
are all integers rational numbers?
Answer:
yes
Step-by-step explanation:
all integers can be formed from the division of two other whole numbers.
Answer:
yes all integers are rational numbers
PLS HELP! would really appreciate.
Answer:
Step-by-step explanation:
3^2*5^2= 225
9*25=225
Three to the 2nd power times 5 to the 2nd power.
please help me with these 2 questions, please show work
Answer:
5x - 4 = 11
1/2x + 15 = 9
Step-by-step explanation:
I dont exactly know how u would show work.
If it says something is less than a number, then it will be at the back of the equation. So skip that part and u will see it says five times a number. The number is unknown therefore it will a variable (i chose x to be the variable). 5 times x is 5x. Minus the 4 would be 5x - 4. Then it says the equation equals 11. So 5x - 4 = 11.
If it says something is more than a number, it can be on either side of the equation using the commutative property of addition. But if we want to consider it being like subtraction, then it also will be in the back of the equation. A half is one over two (1/2). A half of x is 1/2x. Plus the 15 would be 1/2x + 15. It then states that the equation equals 9. So 1/2x + 15 = 9.
Rearrange x = 7y - 5 to make y the subject.
By rearranging x = 7y - 5 to make y the subject, we get
x + 5 = 7y ( By transposition method )
or, [tex] \huge \purple {\tt {\frac{x + 5}{7} = y}} [/tex]
Answer:[tex] \huge \pink {\tt {y = \frac{x + 5}{7}}} [/tex]
The equation x = 7y - 5 can be rearranged as y = x/7 + 1/7 after making the subject as y.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
The equation is:
x = 7y - 5
To make the subject as y:
x + 5 = 7y
Or
7y = x + 5
y = 1/7[x + 5]
y = x/7 + 1/7
Thus, the equation x = 7y - 5 can be rearranged as y = x/7 + 1/7 after making the subject as y.
Learn more about the linear equation here:
brainly.com/question/11897796
#SPJ2
Is this answer to the question correct?
Answer:
y is correct but x is not
Step-by-step explanation:
because x+ 118°=180°[ co- interior angle ]
Se corta una manzana en 12 partes, se comen ocho partes. Qué fracción simplificada a su mínima expresión representa la cantidad de manzanas que sobra? A. 1/3 B. 1/ 8 C. 2/ 3 D.1/ 4
Answer:
A. 1/3
Step-by-step explanation:
Dado que:
una manzana se corta en 12 partes y se comen ocho partes.
La fracción de manzanas consumidas = 8/12
= 2/3
La fracción de manzanas que quedan = valor original de la manzana que se corta - la fracción de la manzana que se come
La fracción de manzanas que quedan [tex]=1- \dfrac{8}{12}[/tex]
La fracción de manzanas que quedan [tex]=\dfrac{12-8}{12}[/tex]
La fracción de manzanas que quedan [tex]=\dfrac{4}{12}[/tex]
A la fracción más baja; obtenemos = 1/3
A class conducts a survey about types of movies. 53 girls and 48 boys reported comedy as their favorite. 23 girls and 62 boys reported horror as their favorite. Find the probability of a boy from this school selecting horror as his favorite type of movie.
63 apparently
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The Montague family and their neighbors the Capulets attended the school play together. The Montagues bought two adult tickets and three student tickets for $16. The Capulets purchased three adult tickets and two student tickets for $19. How much was each adult and student ticket?
Answer:
The cost for adult tickets be represented by x = $5
The cost for student tickets be y = $2
Step-by-step explanation:
Let the cost for adult tickets be represented by x
the cost for student tickets be y
The Montague family and their neighbors the Capulets attended the school play together. The Montagues bought two adult tickets and three student tickets for $16.
= 2x + 3y = 16... Equation 1
The Capulets purchased three adult tickets and two student tickets for $19.
3x + 2y = 19 ..... Equation 2
How much was each adult and student ticket?
2x + 3y = 16... Equation 1
3x + 2y = 19 ..... Equation 2
We solve using Elimination method
Multiply Equation 1 by 2 and Equation 2 by 3 to eliminate u
4x + 6y = 32..... Equation 3
9x + 6y = 57.... Equation 4
Subtract Equation 4 from 3
-5x = -25
x = 25/5
x = $5
2x + 3y = 16... Equation 1
Since x = $5
2($5) + 3y = 16
10 + 3y = 16
3y = 16 - 10
3y = 6
y = 6/3
y = $2
Therefore:
The cost for adult tickets be represented by x = $5
The cost for student tickets be y = $2
the graph of y= f(X) is shown below, what point could be used to find f(3)?
Answer:
Point A
Step-by-step explanation:
The long that would be used to find f(3) is the point that shows the value of y when x = 3.
Looking at the graph given, the only point that shows the value of y when x = 3 is point A.
When x = 3, y = 0.
Therefore, f(3) = 0.
enter your answer as a decimal like this 4.23
the answer on there is wrong
Answer:
0.267
Step-by-step explanation:
Type the numerical answer ONLY. (no spaces)
If the interior angle of a triangle are (x+1), (2x-2), (3x-5), find the measure of the largest angle?
Answer:
98
Step-by-step explanation:
Mathematically, when we add all the angles of a triangle, we get 180
Thus;
x + 1 + 2x-2+ 3x-5 = 180
6x-6 = 180
6x = 186
x = 186/6
x = 31
so the measure of the biggest angle is 3x -5
= 3(31) + 5 = 93 + 5 = 98
Help me and you get Brainliest! + 20 pts! Cindy did an experiment. She started out with 700 bacteria cells. She found that the growth rate of the bacteria cells was 4.3%. Create an equation for the situation that would work for any time, x. Type your equation into Desmos to make a graph that represents her experiment. Take a screenshot that includes both the equation and the graph in Desmos. Paste the screenshot to this page or attach it separately to the assignment submission drop box
Answer:
Step-by-step explanation:
Answer:
This is an exponential function of the form
We will use the following
y for the number of bacteria at a given time
x for the time
a for the starting number of bacteria, which is 700
b for the base of the exponent
so lets find b, we need the following:
r, which will be our rate, which is 4.3% or 0.043, so
With this info, let's substitute, and get the equation as the answer:
Put that into desmos, (I attached a screenshot for you)
Step-by-step explanation:
The deli charges $4.50 for a salad weighing 3 pounds and $6.00 for a salad weighing 4 pounds. What EQUATION can be used to represent the cost of the salad, y, for x pounds of salad?
Answer:
y = 1.5x
Step-by-step explanation:
Charge for 3 pounds of salad is $4.50
Charge per pound is thus 4.5/3 = $1.5
Now, we want to write an equation that can be used to represent the cost of salad y for x pounds of salad
Mathematically, that will be;
y = 1.5x
WILL GIVE BRAINLIEST!!!! just need help with number 23!! i can calculate well so i just need someone to set it up for me!! i think it’s supposed to be in standard form
Answer: 7.3 pounds of coarse sand.
Step-by-step explanation:
HELP ASAP PLEASE WILL MARK BRAINIEST
Answer:
its the first one
Step-by-step explanation:
Evaluate 12.1v+ 11.7w when v=7 and w+8
Answer:
178.3
Step-by-step explanation:
HELP ME PLEASE WILL GIVE BRANLYIST!!!!!
Answer:
2
Step-by-step explanation:
It's up 20, right 10. 20 divided by 10 is 2. Therefore, the slope is 2
Is each number a solution of y - 5 > 12
Answer:
Not sure what exactly you're asking here but if you want to solve for Y, you add 5 to both sides. The answer for that is Y > 17.
Step-by-step explanation:
RYAN RYAN I NEED YOR HELP HELP HELP HELP HELPPPPPPPPPP OR ANYONE HONESLTY
Answer:
$70
Step-by-step explanation:
Convert the percent. 175% = 1.75.
Multiply 40 * 1.75.
70
Can someone help me with the PROGRAM “Tinkercad?”
Answer:
What is the issue?
Do you have an issue logging in?
Are you making something on a plot?
If the bottom of a ship is 15.8 below the surface of the sea, calculate the pressure at the bottom of the ship. The density of the seawater is 1030kg/m3
What is BC ?
Enter your answer in the box.
BC=___units
Answer:
I'm pretty sure it would be 5x
Step-by-step explanation:
8x - 3(x - 1) = 2x + 6 solve for x and show work
Answer:
x= 1
Step-by-step explanation:
open brackets first
8x - 3x + 3 = 2x + 6
Calculate
5x+3= 2x+6
transpose the like terms
5x-2x= 6-3
calculate
3x= 3
x= 3/3
x= 1
Answer:
x = 3
Step-by-step explanation:
8x - 3(x - 1) = 2x + 6
simplify
8x - 3x + 3 = 2x + 6
add like terms
5x + 3 = 2x + 6
subtract 2x from both sides
3x + 3 = 6
subtract 3 from both sides
3x = 3
divide by 3
x = 3
What is the measurement?
Answer:180-124= answer
Step-by-step explanation:I don’t have a caclator srry
use slope-intercept form to write the equation of a line that goes through the points (-1,-6) and (3,2)
Answer:
y=2x-4
Step-by-step explanation:
need help will mark brainliest
Answer:
a) -6+4k=4
4k=4+6 (transpose)
4k=10
k=5/2
b) 7p-3=-2
7p=1
p=1/7
c) 1/7=p/21
7p=21(cross-multiplication)
p=3
HOPE IT HELPS YOU OUT PLEASE MARK IT AS BRAINLIEST AND FOLLOW ME PROMISE YOU TO FOLLOW BACK ON BRAINLY.IN
exponential form of 154034
Answer:
1.54034×10^5
Step-by-step explanation:
7 m
10 m
7 m
9 m
34 m
how do I find the area?
Answer:
you multiply all of those answers
Step-by-step explanation: