Under certain conditions, the number of feet a car will skid after the brakes are fully applied is given by the function d(x)=0.05x2+x, where x is the speed of the car in miles per hour. For what values of x will the car skid at most 120ft ?
Answers
Answer:
x ≤ 40 . . . miles per hour
Step-by-step explanation:
You want to know the values of x for which d(x) = 0.05x² +x is at most 120.
Solutiond(x) ≤ 120 . . . . . . . . the required limit
0.05x² +x ≤ 120 . . . . . substitute the expression for d(x)
x² +20x -2400 ≤ 0 . . . . . multiply by 20, subtract 2400
(x -40)(x +60) ≤ 0 . . . . . . . . factor. Factors are zero for x=40, x=-60.
The product will be negative for x-values between the zeros:
-60 ≤ x ≤ 40
We only care about positive values of x:
0 ≤ x ≤ 40 . . . . . miles per hour
Related Questions
Please help ASAP!!!!
Answers
Answer:
Students from the list of all students.
Step-by-step explanation:
The list includes ALL students attending the school, not just the ones from a particular group.
What would be the first step you would take in solving the equation 3 - 2x = 4(x + 15) ?
Answers
I think
Answer:
Distribute the 4
Step-by-step explanation:
You should always distribute first then you should add the 2x. Then combine like terms. Then subtract 15 then divide by six. Then you get the answer x = -2.
Lola purchases music from two online services. Company A charges Lola a $10
subscription fee plus 89 cents for each song. Company B charges no subscription fee but
$1.19 per song. What is the minimum number of songs Lola would have to purchase for
Company A to be the cheaper option?
Answers
9514 1404 393
Answer:
8. (c) 34
9. 38 women
Step-by-step explanation:
8. The price for s songs is ...
A = 10 +0.89s
B = 1.19s
We want A < B, so ...
10 +0.89s < 1.19s
10 < 0.30s
33.33... < s
Lola would have to purchase 34 songs for Company A to be the cheaper option.
__
9. Let m represent the number of men. Then the number of women (w) is ...
w = 4m+2
The total of men and women is 47, so we have ...
m + w = 47
m + (4m +2) = 47
5m = 45 . . . . . . . . . subtract 2
m = 9 . . . . . . . . . . . .divide by 5
4m +2 = 4(9) +2 = 38 . . . . find the number of women
The PTA has 38 women in it.
A bacteria culture is started with 300 bacteria. After 4 hours, the population has grown to 500 bacteria. If the population grows exponentially. How long does it take for the culture to triple in size?
Answers
Answer:
12 hours
Step-by-step explanation:
the culture was first 300
the it grew to 500 in 4 hours
so that means it grew by 200 in 4 hours
and the triple it size is 900
you say;
if 200 =4 hours what about 600
=12 hours
Find x to the nearest tenth
Answers
Answer: 0.20
Step-by-step explanation:
An environmentalist wants to find out the fraction of oil tankers that have spills each month. Step 1 of 2: Suppose a sample of 211 tankers is drawn. Of these ships, 146 did not have spills. Using the data, estimate the proportion of oil tankers that had spills. Enter your answer as a fraction or a decimal number rounded to three decimal places.
Answers
Answer:
The estimate of the proportion of oil tankers that had spills is 65/211 = 0.308.
Step-by-step explanation:
Proportion of oil tankers that had spills.
Number of tankers with spills divided by the total number of tankers.
In this question:
211 tankers
146 did not have spills, so 211 - 146 = 65 had
Proportion:
[tex]p = \frac{65}{211} = 0.308[/tex]
The estimate of the proportion of oil tankers that had spills is 65/211 = 0.308.
IS DUE PLZ HELP Mabel ate break fast at a restaurant. The bil lcame to $38. If she left an 18% tip, how much was the tip?
Answers
Answer:
37.82
Step-by-step explanation:
Turn 18% into decimal=0.18 subtract 0.18 to 38=37.82
Hope it's correct!
PLEASE HELP TANGENT LINESSSS
Answers
9514 1404 393
Answer:
x = 154
Step-by-step explanation:
Angle x° is supplementary to the external angle:
x° = 180° -26°
x° = 154°
Answer:
Step-by-step explanation:
sum of four angles of a quadrilateral=360°
each tangent measures 90°
26+90+90+x=360
206+x=360
x=360-206=154°
Austin’s bus arrives at 7:55am if he starts his chores at 7:30 am will he be done in time to meet his bus explain your reasoning answer key
Answers
Answer:
it depends on his chores, how many he has, and how he does them
Step-by-step explanation:
Answer:
Yes
Step-by-step explanation:
I had the same question his chores only last for 15 minutes so yes he would be done in time
In which step did the student make the first error?
step 1
step 2
step 3
step 4
Answers
Answer:
there is no picture for us to see so we can't answer it.
Step-by-step explanation:
sorry
Answer:
C: step 2 (Took the test on edge got 100%)
Step-by-step explanation:
Your question was incomplete you have forgotten to include the graph necessary to answer.
Given vector v=<-2,-1>, find 5v.
Answers
Answer:
5v=(-10;-5)
Step-by-step explanation:
&3*$*'hskjekfjcjcnnnnsnd
1/2 + (- 3/4)
1. 1
2. -1
3. -1/4
4. 1/4
Answers
Answer:
3. -1/4
Step-by-step explanation:
Similar to doing 0.5-0.75 which ends up as -0.25 which is equal to -1/4
Find the volume of the prism.
6 m
20 m
26 m
The volume of the prism is
m?
Answers
Step-by-step explanation:
To find the volume, you need to do length x width x height.
In this case, we are going to do 6 x 20 x 26.
You get 3,120 m^3.
Hope you found this helpful!
8,782 divided by 2 can you please explain me the process so i can do it
Answers
Answer:
4,391
Step-by-step explanation:
next time use a caculator luv <3
Answer:
4,391
Step-by-step explanation:
You can start of by multiply 100's by 2 and keep going until you get close to 8,782 then start going down some numbers till you get 8,782.
A company that produces white bread is concerned about the distribution of the amount of sodium in its bread. The company takes a simple random sample of 100 slices of bread and computes the sample mean to be 103 milligrams of sodium per slice. Construct a 99% confidence interval for the unknown mean sodium level assuming that the population standard deviation is 10 milligrams.
Answers
Answer:
The 99% confidence interval for the unknown mean sodium level is between 100.42 milligrams of sodium per slice and 105.58 milligrams of sodium per slice.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.005 = 0.995[/tex], so Z = 2.58.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 2.58\frac{10}{\sqrt{10}} = 2.58[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 103 - 2.58 = 100.42 milligrams of sodium per slice.
The upper end of the interval is the sample mean added to M. So it is 103 + 2.58 = 105.58 milligrams of sodium per slice.
The 99% confidence interval for the unknown mean sodium level is between 100.42 milligrams of sodium per slice and 105.58 milligrams of sodium per slice.
30 POINTS!! PLEASE HELP
Mai created a scale model of a shoe store her company plans to build. The ratio of the model's dimensions to the dimensions of the actual shoe store to
be built is 1:20. If the volume of the model was 35 ft, what is the volume of the actual shoe store that Mai's company plans to build?
Answers
Answer:
it's 700 so last one
Step-by-step explanation:
since it's 1 to 20 you multiply 35×20 and you get 700
For the function f(x) = 4x2 - 3x - 7, find f(-2).
O 15
O -17
O 3
O -7
Answers
Answer:
15
Step-by-step explanation:
please the answer is 15
I need help with this
Answers
Please give me the correct answer.Only answer if you're very good at math.Please use the Pythagorean Theorem formula which is a^2 + b ^2 = c^2.
Answers
Answer:
8.7 in
Step-by-step explanation:
a = 7.3
b = 4.8
c^2 = 7.3^2 + 4.8^2 = 76.33
c = sqrt(76.33) which is around 8.7
Jimmy eats seven cookies every three minutes. How long does it take him to eat 28 cookies?
Answers
3 x 4 = 12
It’ll take him 12 minutes
Answer:
12min
Step-by-step explanation:
if7=3
28=?
28×3÷7=12
In ADEF, the measure of ZF=90°, the measure of ZD=69°, and FD = 64 feet. Find
the length of DE to the nearest tenth of a foot.
Answers
9514 1404 393
Answer:
178.6 ft
Step-by-step explanation:
The definitions of the trig functions tell you ...
Cos = Adjacent/Hypotenuse
cos(69°) = FD/DE
DE = FD/cos(69°) ≈ (64 ft)/0.3584
DE ≈ 178.6 ft
A backpack is on sale for $51.00. This is 75% of the original price. What was the original price?
Answers
100%-75%= 25% or 0.25.
51 = 0.25 * n (original price)
Divide 0.25 on both sides
51/0.25 = 204
N=204
That is indeed a very expensive backpack.
Who ever answers it gets Brainly
Which of the following equation represents a linear function
Answers
Answer: it is c
Step-by-step explanation:
what is 3 1/3x1 1/7
Answers
Answer:
3 17/21
Step-by-step explanation:
Two consecutive even Integers have a sum of 34. Find the Integars
Answers
Answer:
18 and 16
Step-by-step explanation:
help me pls plz please teachers math simple math lol ok smart wow cool points brainly tiktok
Answers
Answer:
5. 30km 6. sorry I forgot how to do these 1. 240m 2. 36cm 3. 64ft
Step-by-step explanation:
Translate the phrase into an algebraic expression. The difference of c and 6
Answers
Answer:
c - 6
Step-by-step explanation:
differnce is subtraction
so subtract.
Guys help I’m failing math this assignment is 100 points it will boost my grade
Answers
Answer:
1. -6.5
2. 8.5
3. -2 7/10
Step-by-step explanation:
If you any more questions comment
could you give me Brₐinliest
Answer:
im not sure
Step-by-step explanation:
lol i just want points
I need help if you awnser right I will mark you
Answers
Answer:
300
Step-by-step explanation:
I think like 70 precent sure
If he spends 25% on food each month, you can interpret it as a fourth of his budget because 25/100 is equal to 1/4.
$1200 / 4 = $300
Another way is by turning 25% into a decimal and doing $1200 * 0.25 = $300
Answer: $300
Good luck!
8ftx4ftx5ft what is the diameter
Answers
Answer:
nothing
Step-by-step explanation: