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.
Given the function y = 2x - 6, explain how you can evaluate when x = -1.
Answer:
y = -8
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASStep-by-step explanation:
Step 1: Define
y = 2x - 6
x = -1
Step 2: Solve for y
Substitute: y = 2(-1) - 6Multiply: y = -2 - 6Subtract: y = -8And we have our final answer!
Joe owns a dirt bike shop. He bought a dirt bike at cost for $252. If he marks up the price by 60%, what is the retail amount of the bike? (Reminder you are working with money and need to round to 2 decimal places). The amount of Markup is $ . The retail amount is $
Given:
Cost of bike = $252
Markup % = 60%
To find:
The markup and retail amount.
Solution:
According to the question,
Markup = 60% of cost of bike
[tex]Markup=\dfrac{60}{100}\times 252[/tex]
[tex]Markup=0.6\times 252[/tex]
[tex]Markup=151.2[/tex]
Now,
[tex]\text{Retail amount}=\text{Cost + Markup}[/tex]
[tex]\text{Retail amount}=252+151.2[/tex]
[tex]\text{Retail amount}=403.2[/tex]
Therefore, the amount of Markup is $151.2. The retail amount is $403.2.
Which evidence from the text best supports the idea that women astronauts are not unusual anymore?
Question 2 options:
Anne McClain has wanted to be an astronaut since she was 3 or 4 years old.
Women comprised half the staff of the 2013 class of astronauts.
The lead spacewalk flight controller on Earth is female.
The all-female spacewalk was not planned.
if you answer right ill keep doing some for 100 points
Answer:
sally ride I guess
Step-by-step explanation:
Answer:
Women comprised half the staff of the 2013 class of astronauts.
Step-by-step explanation:
Line m passes through the points (5,7) and (-10,-2). What is the equation of the line m?
Answer:
slope/m is 0.6
equation is 7=0.*5+4
Step-by-step explanation:
m=y2-y1/x2-x1
-2-7=(-9)
-10-5=(-15)
-9/-15=0.6
hope this helps :3
if iit did pls mark brainliest
A student is training for the track team during the first three months of the year by
running for 30 minutes every day, while averaging 5 miles each day. Select the graph
that correctly shows the total miles the student ran during the time of his training
program.
1)
Hous
500
2)
200
Hours
10
23
8
50
3)
Question 2 (2 points)
Is the following relation a function? (2 points)
ху
1-1-2
2 3
3 11
16-2
O a
Yes
b
No
Answer:
Yes
Step-by-step explanation:
Since there is one value of y for every value of x in (−1,−2),(2,3),(3,1), (6,−2)
, this relation is a function.
How long* sorry! Happy December 1st!!!
today is December 1
Answer:
happy December first to you to, Christmas is just down the road
Step-by-step explanation:
hope it helps, have a great rest of your day, mark brainliest please
Which one is it please help me
A
B
C
D
Answer:
Defo choice b or choose 2
Step-by-step explanation: this s because it is way in her budget and she’s saving on the down payment
Whats the reciprocal of 9/2 and 4/7
Answer:
2/9 and 7/4
Step-by-step explanation:
just flip it
The answers are:
2/9 and 7/2
Step-by-step explanation:
The reciprocal of a number is a special number such that, when multiplied by the original number, gives us 1.
And we know that in fractions, to get from a/b to 1, we should multiply a/b times b/a.
So this leads to the conclusion that the reciprocal of 9/2 is 2/9 and the reciprocal of 4/7 is 7/2.
Guys hurry please
Find the area of the figure. Round to the nearest tenth if
necessary.
Answer:
33.6
Step-by-step explanation:
Break into 3 shape semi circle, square, triangle find areas of each(14.13, 9, 10.5) and add all up to Get 33.63 then round as told to get 33.6
Please fill in the blank
Answer: 926
Step-by-step explanation:
1. 920- 444= 476
2. 476+450= 926
3. 926
Answer:926
Step-by-step explanation:because 920 - 444 = 476 + 450 = 926
Is 4/0 an undefined slope or 0
Answer:
it is a slope of zero
Step-by-step explanation:
Find the measure of angle that is circled.
Can someone help? Test tomorrow, I need to learn to figure this out so I can do the rest.
Answer:
Step-by-step explanation:
You would do 360-(17x+5)= which would get you that angle of the rest of that. Then u would do take that answer and minus it from 360 which would get your answer
Answer:
90°
17x+5 and 18x are corresponding angles and because we have parallel lines these two angles are congruent.
Step-by-step explanation:
17x+5=18x
5=18x-17x
5=x
17x+5=17*5+5=85+5=90°
41=12d−7 what does d equal to
Answer:
d=4
Step-by-step explanation:
how to factorise 8a3-b3
Answer:
Step-by-step explanation:
Answer:
(2a - b)(4a² + 2ab + b²)
Step-by-step explanation:
8a³ - b³ ← is a difference of cubes and factors in general as
a³ - b³ = (a - b)(a² + ab + b²) , thus
8a³ - b³
= (2a)³ - b³
= (2a - b)((2a)² + 2ab + b² ), that is
(2a - b)(4a² + 2ab + b²)
An ordered pair is
a) the output (y) value of the relation
b) the input (x) value of the relation
с) a set of points that pair input values with output values
d) x and y values written in the form (x, y)
plzz help
Answer:
B
Step-by-step explanation:
The m to the y can’t equal to m so it’s b
2x + 6 = 10
x=
whats the answer?
Answer:
x is 2
Step-by-step explanation:
you need to do 10-6 is 4 then 2x? is 4
When x = -2 h (x) = |-2x-6|
Answer:
Step-by-step explanation:
A function is an equation that has only one answer for y for every x. A function assigns exactly one output to each input of a specified type. It is common to name a function either f(x) or g(x) instead of y. f(2) means that we should find the value of our function when x equals 2.
so you must first find what is the x and which one is the y in the function then you will find the answer when you solve the problem
translate algebraic expression
The sum of three-fourths of f, four-fifths of z, and 5
Answer:
[tex]\frac{3}{4}f + \frac{4}{5}z + 5[/tex]
Step-by-step explanation:
Sum = additionThree-fourths of f: [tex]\frac{3}{4}f[/tex] Four-fifths of z: [tex]\frac{4}{5}z[/tex] Five: 5Sum of the above: [tex]\frac{3}{4}f + \frac{4}{5}z + 5[/tex]I hope this helps!
$0.95
Muffin
$1.99
Fruit pies
$ 3.29
Keirra wants to buy 12 bagels. She uses partial products to find her total. She says $ 16.80 is close to my estimate of 12 x 1=12, so this total is reasonable. Do you agree with her? Explain your reasoning.
Answer:
$11.40, is the actual price, so no
Step-by-step explanation:
If a bagel is $0.95 cents, then multiply that by 12, that would be $11.40, so no, her total is not reasonable, even if you round $0.95 to a dollar, 12x1 would be 12, so you can't estimate that to $16.80
~Akmp10
What is the answer?❤️
Answer:
a=4 B i think is =20 c im not sure
Step-by-step explanation:
$6 to bowl each game at Hollywood bowl. A pair of shoes can be borrowed for $3. How much does it cost to borrow 5 pairs of shoes and bowl 2 games?
What’s the slope, if point 1 is (1,1) and point 2 is (-1, -4)
Tyana has a collection of hoodies and t-shirts. She has 561 pieces of collected clothing in all. The number of hoodies is twice the number of t-shirts. Find the number of each type of clothing she has.
Answer:
187 t-shirts and 374 hoodies.
Step-by-step explanation:
(t is shirts)
561 = t + (2t)
561 = 3t
/3. /3
187 = t
ck:
187 + ( 2 times 187) = 561
187 + 374 = 561
561 = 561
PLEASE HELP ASAP!!!!
Answer:
B 7/8
Hope this helped.
someone help meee plz
A movie theater has two rooms. Room A has 9 rows of seats with 18 seats in each row. How many seats are there in room A? Fill in the blank. There are ___ seats in Room A. *
Answer:
162 seats
Step-by-step explanation:
A movie theater has two rooms. Room A has 9 rows of seats with 18 seats in each row.
From the question:
1 row = 18 seats
9 rows = x seats
Cross Multiply
1 row × x = 9 rows × 18 seats
x = 9 rows × 18 seats/1 row
x = 162 seats
There are 162 seats in Room A.
Mrs. Quinto is comparing the Calories in different types of bread. Wheat bread has 150 Calories for every 2 slices. The Calories in two other types of bread are shown in the table and graph.
White Bread
Slices Calories
2 160
4 320
6 480
Answer:
none
Step-by-step explanation:
160 - 2 = not
320 - 4 = not
480 - 6 = not
what is x for this X/16-12=8?
Answer:
320
Step-by-step explanation:
PLEASE HELP 5. Find the distance of the line segment joining the two points: (2,0) (0,-2)
Answer:
I would think 2 for my answer