A traffic fanatic wants to estimate the maximum number of cars that can safely travel on a particular road at a given speed. He assumes that each car is 17 feet long, travels at speed s, and follows the car in front of it at a safe distance for that speed. He finds that the number N of cars that can pass a given spot per minute is modeled by the function
N(s) 87s/19 + 19 (s/24)2|
At what speed can the greatest number of cars travel safely on that road?

Answer:

1.5 feet

Step-by-step explanation:

12/8 = 1.5 feet

Answer:

11/20

Step-by-step explanation:

3/4 - 1/5 = 15/20 - 4/20 = 11/20

Answer:

± sqrt(z+y)

Step-by-step explanation:

x^2-y=z

for x

x^2=z+y

taking sqrt on both sides

x= ± sqrt(z+y)

Step-by-step explanation:

Volume of Cylinder =

[tex]\pi {r}^{2} h[/tex]

given r = 10 in

h = 30 in

Volume of Cylinder =

[tex]\pi( {10}^{2} )(30) \\ = \pi(100)(30) \\ = 3000\pi \: {in}^{3} \\ = 9424.8 {in}^{3} [/tex]

Please take note in this case choose the answer closest to the answer calculated.

Answer:

9,420 in^3

Step-by-step explanation:

V = π r^2 h

V = 3.14 · 10^2 · 30

V = 3.14 · 100 · 30

V = 3.14 · 3,000

V ≈ 9,420

Answer:

12 dollars

Step-by-step explanation:

This means the cost of the item to you is $12. You will pay $12 for a item with original price of $15 when discounted 20%. In this example, if you buy an item at $15 with 20% discount, you will pay 15 - 3 = 12 dollars.

Answer:

$4.50

Step-by-step explanation:

We know that there are sunglasses has a price of fifteen dollars.

We also know that said glasses are on sale for 30% off.

We need to find the sale price of these sunglasses.

When you need to find a certain sale price for an item, you need to multiply the original price by the percent it's on sale for.

[tex]OGprice * percent -off[/tex]

[tex]15*30[/tex]%

[tex]4.5[/tex]

Therefore, the sale price is 4 dollars and 50 cents.

Answer:

532

523

325

352

235

253

so you can make 6

True

Sorry if I'm wrong! I honestly think its true, a fluid ounce is pretty big... 2 tablespoons, so if you half it its 1 tablespoon, which is enough for cookies

Complete question :

According to the National Beer Wholesalers Association, U.S. consumers 21 years and older consumed 26.9 gallons of beer and cider per person during 2017. A distributor in Milwaukee believes that beer and cider consumption are higher in that city. A sample of consumers 21 years and older in Milwaukee will be taken, and the sample mean 2017 beer and cider consumption will be used to test the following null and alternative hypotheses:

H, :μ< 26.9

Ha : μ> 26.9

a. Assume the sample data led to rejection of the null hypothesis. What would be your conclusion about consumption of beer and cider in Milwaukee?

b. What is the Type I error in this situation? What are the consequences of making this error?

c. What is the Type II error in this situation? What are the consequences of making this error?

Answer:

Kindly check explanation

Step-by-step explanation:

Given the null and alternative hypothesis :

H0 :μ< 26.9

Ha : μ> 26.9

Assume the Null hypothesis is rejected ;

We conclude that there is significant evidence that the mean consumption of beer and cider is higher in the city (more than 26.9 gallons).

B.) Type 1 error is committed when the Null hypothesis is incorrectly rejected.

C.) Type 2 error is committed when we fail to reject a false null hypothesis. In this scenario, we fail to conclude that the average consumption of beer and cider is more than 26.9 gallons per person.

Hi ^^

-------------------------

Solution:

Step one- Set up a ratio:

· Originally the ratio was: 110:143, make that equivalent to x:117

-->  110/143 = x/117 <-- notice this is A/B = A/B

--> to solve for x, just multiply by 117

x = 110 * 117 / 143 = 90 mg

----------------------------------------------------------------------------------------

·You should use 90 mg of medication A

oki baiiii ^^

Answer:

C: X <= 7

Step-by-step explanation:

Reimagine the inequality as

3 - 1 >= X - 5/7*X

2 >= 2/7*X

1 >= 1/7 * X

7 >= X

Answer:

4/6 or 2/3. Depends if your teacher wants it reduced.

Step-by-step explanation:

Each number has a 1 out of 6 chance to be rolled. so it's 1/6 for rolling a 3, 1/6 for rolling a 4, 1/6 for rolling a 5, and 1/6 for rolling a 6. 4 x 1/6 = 4/6

Answer:

diameter it goes throught the circle and as end points across

Answer:

it's 22 I hope you got it right if not then i'm sorry

Answer:

62

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Solve for each choice until you get the answer 1/5.

A.

2 - 4/5

10/5 - 4/5 = 6/5; this is not 1/5

B

8 - 8/5

40/5 - 8/5 = 32/5; this is not 1/5

C

3 - 16/5

15/5 - 16/5 = -1/5

5 - 26/5

25/5 - 26/5 = -1/5

7 - 36/5

35/5 - 36/5 = -1/5; although this is negative, it still has the same proportionality of 1/5

Answer: 5.8%

Step-by-step explanation: got it right lol

Answer:

Transitive property

Step-by-step explanation:

Given

[tex]XU = UV[/tex]

[tex]UV = PQ[/tex]

Then:

[tex]XU = PQ[/tex]

Required

Determine the property

The property is transitive.

It states that:

Given that:

[tex]a= b[/tex] and [tex]b = c[/tex]

Then:

[tex]a = c[/tex]

When this is applied here, we have:

Given that:

[tex]XU = UV[/tex] and [tex]UV = PQ[/tex]

Then:

[tex]XU = PQ[/tex]

Answer:

[tex](2 \times 15x) + (2 \times 10) \\ = 30x + 20 \\ = 10(3x + 2)[/tex]

Answer:

30x+20

Step-by-step explanation:

(2*15x) is 30x

(2*10) is 20

30x+20 can't be further simplified

Answer:

$2750 worth of simple interest

Step-by-step explanation:

The equation for simple interest is to multiply the amount by the time by the rate:

22000 * 5 * 0.025 = 2750

Step-by-step explanation:

The probability for baseball is unfortunately unlikely

Answer: thier salaries are $5000 and $5500

Step-by-step explanation:

Let the average weekly salary of one employee be =x

And that of the other employee be = x+500

Such that if thier average of their salaries= $5250

So, their total salary=  $5250 x 2=10,500

The  equation  to solve each employee salary becomes

x+x+500=10,500

2x+500=10,500

2x=10,500-500

2x=10,000

x=10,000 /2

x= first employee salary =$5000

second employee =   x+500 =$5500

Answer:

yeah same it really could be

Answer:

2464

Step-by-step explanation:

I added it up :)

Answer:

35

Step-by-step explanation:

Substitute x in the equation for 10

x/2 = 10/2

+ 3x = + 3(10)

10/2 = 5

+ 3(10) = + 30

5 + 30 = 35

Answer:

Step-by-step explanation:y<30 and x<15

Answer:

10

Step-by-step explanation:

he question lacks appropriate diagram. Find the diagram attached below.

From the isosceles triangle shown, we can see that it is made up of two right angled triangle.

Using the Pythagoras theorem to solve for the adjacent side of both right angled triangles we will have;

From the formula:

Hyp² = Opp²+Adj²

Adj² = Hyp² - Opp²

The hypotenuse and the opposite of both triangle is equal. Hence their adjacent side will also be equal.

Given Hypotenuse = √74

Opposite = 7

Adj² = Hyp²-Opp²

Adj² = (√74)² - 7²

Adj² = 74-49

Adj² = 25

Adj = √25

Adj = 5

The adjacent of both sides are equal

x = 2 × Adjacent side

x = 2(5)

x = 10

Answer:

99 units.

Step-by-step explanation:

The cost function for manufacturing x units of a certain product is:

[tex]C(x)=x^2-15x+34[/tex]

We want to find the number of units manufactured at a cost of $8350. Therefore:

[tex]8350=x^2-15x+34[/tex]

Subtract 8350 from both sides:

[tex]x^2-15x-8316=0[/tex]

This equation can be a bit difficult to factor, if even possible, so we can use the quadratic formula:

[tex]\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

In this case, a = 1, b = -15, and c = -8316. Thus:

[tex]\displaystyle x=\frac{-(-15)\pm\sqrt{(-15)^2-4(1)(-8316)}}{2(1)}[/tex]

Simplify:

[tex]\displaystyle x=\frac{15\pm\sqrt{33489}}{2}[/tex]

Evaluate:

[tex]\displaystyle x=\frac{15\pm183}{2}[/tex]

Therefore, our solutions are:

[tex]\displaystyle x=\frac{15+183}{2}=99\text{ and } x=\frac{15-183}{2}=-84[/tex]

We cannot produce negative items, so we can ignore the second answer.

Therefore, for a cost of $8350, 99 items are being produced.