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
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
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.
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.
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
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.
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:
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
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!
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!
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°
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.
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
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.
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
Find x to the nearest tenth
Answers
Answer: 0.20
Step-by-step explanation:
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
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
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.
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
I need help with this
Answers
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.
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.
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!
Two consecutive even Integers have a sum of 34. Find the Integars
Answers
Answer:
18 and 16
Step-by-step explanation:
Who ever answers it gets Brainly
Which of the following equation represents a linear function
Answers
Answer: it is c
Step-by-step explanation:
8ftx4ftx5ft what is the diameter
Answers
Answer:
nothing
Step-by-step explanation:
what is 3 1/3x1 1/7
Answers
Answer:
3 17/21
Step-by-step explanation:
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
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.
Given vector v=<-2,-1>, find 5v.
Answers
Answer:
5v=(-10;-5)
Step-by-step explanation:
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