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 1

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.

Solution

  d(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

Under Certain Conditions, The Number Of Feet A Car Will Skid After The Brakes Are Fully Applied Is Given

Related Questions

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

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

Given vector v=<-2,-1>, find 5v.

Answers

Answer:

5v=(-10;-5)

Step-by-step explanation:

&3*$*'hskjekfjcjcnnnnsnd

Two consecutive even Integers have a sum of 34. Find the Integars

Answers

Answer:

18 and 16

Step-by-step explanation:

16 and 18 are the even integers

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

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 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

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.

I need help if you awnser right I will mark you

Answers

Answer:

300

Step-by-step explanation:

I think like 70 precent sure

Monthly budget: $1200
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°

Find x to the nearest tenth

Answers

Answer: 0.20

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.

A backpack is on sale for $51.00. This is 75% of the original price. What was the original price?

Answers

Original price= $204.

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.

8ftx4ftx5ft what is the diameter

Answers

Answer:

nothing

Step-by-step explanation:

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.

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!

Jimmy eats seven cookies every three minutes. How long does it take him to eat 28 cookies?

Answers

28 / 7 = 4

3 x 4 = 12


It’ll take him 12 minutes

Answer:

12min

Step-by-step explanation:

if7=3

28=?

28×3÷7=12

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.

Who ever answers it gets Brainly

Which of the following equation represents a linear function

Answers

Answer: it is c

Step-by-step explanation:

the thee answer iis: C

what is 3 1/3x1 1/7 ​

Answers

Answer:

3 17/21

Step-by-step explanation:

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

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

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:

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

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!

I need help with this

Answers

B 25% of her students are in chemistry is false
B is false there is 35% in chemistry

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 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

What would be the first step you would take in solving the equation 3 - 2x = 4(x + 15) ?​

Answers

The first step would be x+15
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.

Other Questions
Why did Queen Victoria wish to become Empress of India?O A. She became jealous of the title of her son's wife.B. She grew fascinated by India and wished to become Indian.C. She wanted to be closer to her Indian subjects.D. She wanted access to India's famous jewels. Find (3c2 - 8c + 5) + (c2 - 8c - 6).A 3c2 - 1B 4c2 - 16c - 1C 2c2 - 16c - 1 The Constitutional Convention saw many debates regarding the power of government Choose the issues that centered aroundlimiting the power of the president.es )A)impeachmentB)a four-year term0Commander-in-ChiefEliminateD)negotiating treatiesE)appointing executive officers 1. What is the minimum value of y in the graph belowy Write the equation that describes the following variation. Don't forget "k"!x varies directly with the square rootofy and inversely with the square of w and thecube root of z Which explains the difference between fascism in Italy and militarism in Japan?1. Mussolini seized power in Italy with support of the Blackshirts, while military leaders took control of Japan and conscripted men over twenty years old. 2. Military leaders seized control of Italy and conscripted men over twenty years old, while Mussolini took control of Japan with support of the Blackshirts.3.Mussolini seized power in Italy and invaded Manchuria, while military leaders took control of Japan and invaded Libya.4.Military leaders seized control of Italy and invaded China, while Mussolini took control of Japan and invaded Ethiopia Will give brainliest Find the measures of the missing angles: State five social problems of rapid population growth Is this correct?? So, basically, it asking for a decimal equivalent to 920.35 A sample of water containing somehow and bacteria was kept in a container. After some days it was observed that only snowball existed. What is the reason for the disappearance of the bacteria? The constant movement of rising warm air and sinking cool air in Earth's atmosphere is called atmospheric convection. What does atmospheric convection produce? A CD usually sells for $18.00. If the CD is 10% off, and sales tax is 7%, what is the total price of the CD, including tax?A. $18.30B. $17.33C. $17.46D. $17.50 positive and negative impacts of the anti-war movement Calculate the number of nickel atoms in a 5-cent coin of mass 0.942g if it was made of an alloy consisting of 75% copper and 25% nickel. Sam has worn a green shirt on 10 of the last 20 days. Considering this data, how many timeswould you expect Sam to wear a green shirt in the next 12 days?Answer quickly One idea for avoiding a catastrophic collision of space debris with Earth is the use of missile-like projectiles to knock the object off course or deflect it. How can scientists be sure to create an impact with enough kinetic energy to change a meteoroids course? What factors should they consider? HELP :,) What effects does drought have on people and the land in East Africa? I need help asappp I give the best answer Brainliest Which invention was created by Filippo Brunelleschi?the microscopethe printing pressthe revolving cranethe telescope