The traffic flow rate (cars per hour) across an intersection is
r
(
t
)
=
300
+
600
t

90
t
2
, where
t
is in hours, and
t
=0 is 6am. How many cars pass through the intersection between 6 am and 9 am?

Answers

Answer 1

Answer:

990 cars

Step-by-step explanation:

Find how many cars pass through at 6am, t=0:

r(0)= 300+600(0)-90(0²) = 300

Find how many cars pass through at 9am, t=3:

r(3)= 300+600(3)-900(3²)=300+1800-810=1290

Find the difference (how many cars pass between 6am and 9am): 1290-300=990


Related Questions

the number is a 5 digit number.the value at ones and tens place is the highest single digit number .the hundreds place is double the thousands..the thousands place is double the ten thousands place is number 2 . write the numeral

Answers

Answer:

24,899

Step-by-step explanation:

Answer this????????????

Answers

Answer:

[tex]a + b = 8 \\ 3a - 4b = 3 \\ 4a + 4b = 32 \\ 3a - 4b = 3 \\7a = 35 \\ (a = 5 )\: and \: (b = 3)[/tex]

What is the probability of choosing a king from a deck of cards? Type your answer as a fraction.

Answers

Answer:

4/52 or 1/13

Step-by-step explanation:

there are only 4 kings; diamond, Heart, Spades and Clubs.

4/52 because there is one king for every suit and only 4 kings total in the deck of 52!

Solve the system of equations-y = -1 and -51 - 3y = -15 by combining the equations​

Answers

Answer:

No solution

Step-by-step explanation:

-y = -1

-51 - 3y = -15

-3y = -15 + 51

-3y = 36

y = -12

y = 1

y = -12

No solution

Function or a Relation?

X Y
-13 -3
-3 7
12 -13
17 8
-3 14
0 -19

Answers

Answer:

Hi! The answer to your question is Relation

Step-by-step explanation:

To be a function the x values can't repeat, since they do, its a relation

☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆

☁Brainliest is greatly appreciated!☁

Hope this helps!!

- Brooklynn Deka

3 units to the right of 8 answer

Answers

Answer:

11

Step-by-step explanation:

If you're at 8 and move 3 to the right in a number line, you would end up at 11.

Please simplify this!
[tex]( {3}^{2}) {}^{3} [/tex]

Answers

the answer is 729.
jsjsjdhdhdhsjwjkwkw

Answer:

729

Step-by-step explanation:

We have the equation [tex](3^2)^3[/tex] and are asked to simplify it.

When you have a number with an exponent inside the parenthesis, and then another exponent right out of the parenthesis, you follow the rule where you multiply both exponents together.

Therefore,

[tex](3^2)^3=3^{2*3} =3^6[/tex]

[tex]3^6 = 729[/tex]

please say this question answer please​

Answers

Answer:

4

Step-by-step explanation:

Its 4 because x= 4

A 16 1/2 km stretch of road needs repairs. Workers can repair 2 1/4 km of road per week. How many weeks will it take to repair this stretch of road?

Answers

Answer:

7 1/3 weeks

Step-by-step explanation:

Divide 16 1/2 km by (2 1/4 km/wk).  We get:

   16.5 km

--------------------- = 7 1/3 weeks

  2.25 km/wk

18. At my son's birthday party, we had a piñata that we filled with 140 pieces of candy. If there were 42 Hershey
chocolate bars, what percent of the candy was Hershey chocolate bars?
19. On a recent test, there were 15 multiple-choice questions and 25 fill-in-the-blank problems. What percent of
the problems were fill-in-the-blank problems? (Hint: How many problems were on the entire test.)

Answers

Answer:

18.  30%

19.  62.5%

Step-by-step explanation:

42/140  mult by 100       30%

25 + 15 = 40

25/40   mult by  100 62.5%

18. 30%
19. 62.5

Because it is

1,1,1,2,2,2,2,3,4,4,5,7,8,12,14 what's the median mode and the and range for these numbers

Answers

Answer:

median: 3

mode: 2 (appeared 4 times)

range: 13

Step-by-step explanation:

Por favor ayúdeme es para hoy :(

Answers

Didn’t get it. What’s this??!

Nathaniel created the circle graph below
to show the percentage of his free time he
will engage in different activities on Sunday.
Free Time
Drawing Reading
25%
Exercising
30%
Watching
Television
25%
If Nathaniel has 9 hours of free time on
Sunday, which shows the amount of time
he will spend reading?
A 1 hour 8 minutes
B 1 hour 35 minutes
C 1 hour 21 minutes
D 1 hour 48 minutes

Answers

There’s this guy named 56;(7|%#Nathaniel I used tho know but he was a predator

Answer:

The real answer is 1 hour and 8 minutes

Step-by-step explanation:

You add all the percentages you have then you get 80% so you mince that by a hundred witch is 20% so now you need to find out what is 20% of 9 wich is 1.8 making the answer 1 hour and 8 miutes c:

Product of ²/₇ with the reciprocal of ⁽⁻³⁾/₈ is​

Answers

Answer:

Step-by-step explanation:

Reciprocal of (-3)/8 = -8/3

[tex]\frac{2}{7}*\frac{-8}{3}=\frac{2*(-8)}{7*3}=\frac{-16}{21}[/tex]

50 points , please be honest

Answers

Answer:

7

Step-by-step explanation:

Answer:

[tex]\sqrt{15}[/tex]

Step-by-step explanation:

a^2+b^2=c^2

7^2+b^2=8^2

49+b^2=64

b^2=15

b=[tex]\sqrt{15}[/tex]

find the surface area 3 No files

Answers

Answer:

872 sq inches

Step-by-step explanation:

Total surface area = 2 × (17 × 12) + 2 × (8 × 17) + 2 × (12 × 8)

                               = 408 + 272 + 192 = 872

Reem is 5 years older (bigger) than 3 times Sara's age.
If Reem is 28 years old, how old is Sara?

Answers

Answer: 7 2/3

R = 3s + 5

28 = 3s + 5

23 = 3s

s = 7 2/3

I will give the BRAINEST

State how many solutions each equation has.
x2
-100
5x2
1
6x2 + 17 = 11
7 (x² + 6)
42

Answers

Answer:

-100x4xx=17x

Step-by-step explanation:

goodluck

GIVING OUT BRAINLIEST ANSWER !! PLS HELP ME OUT !! (last minute)

Answers

Answer:

.764

Step-by-step explanation:

do it on a calculator (TI84)

Answer:

45.6°

Step-by-step explanation:

take the inverse cosine of 7/10: [tex]cos^{-1}(\frac{7}{10})[/tex]

plug it into a graphing calc and you get ≈ 45.573°, they want 1 decimal place so it would be ≈ 45.6°

The supermarket sells juice in 16- and 32-ounce bottles. If Warren wants to bring home 144 ounces of juice in 7 separate bottles, which system of equations should he solve to determine how many 16- and 32-ounce bottles to buy? (Let x represent the number of 16-ounce bottles and y represent the number of 32-ounce bottles.)

A. 32x+16y=144 x+y=7
B. 16x+32y=144 x+y=7
C. 32x+16y=144 x+y=144
D. 16x+32y=7 x+y=32

Answers

The correct answer should be approximately letter b) 16x+32y=144 x+y=7

1-4: Find the measures of central tendency, then determine the range of the data.
Daily High Temperatures (°F) for a week: 68 70 67 68 75 75 74 (1 pt each)
1. Mean:
2. Median:
3. Mode(s):
4. Range:

Answers

Answer:

Step-by-step explanation:

1=71

2=70

3= 68 and 75, they both appear twice

4= 8

If two coins are tossed what is the probability that the first one will show heads and the second coin will show tails

Answers

Answer:

2/4 which simplifies to 1/2

which angle you flip it and how much force you use

X
A regular heptagon has a side of approximately 4.3 ft and an apothem of approximately 4.5 ft.
Find the area of the heptagon.
X
1+1
2.
X
4.5 ft
4.3

Answers

Answer: 67.725feet²

Step-by-step explanation:

A heptagon consist of 7 sides and Its area is calculated using the formula

= 1/2 × nsr

n = number of sides = 7

s = side length = 4.3

r = apothem = 4.5

Area = 1/2 × nsr

= 1/2 × 7 × 4.3 × 4.5

= 0.5 × 7 × 4.3 × 4.5

= 67.725feet²

plz help for a brainly

Answers

Answer:

364yd^2

Step-by-step explanation:

LxWxH

Answer:

its 364

Step-by-step explanation:

you do length times width times height

The percentage of students in the school that attended the talent show for the years 2008 to 2013 are shown
2008: 86%
2009: 89%
2010: 93%
2011: 85%
2012: 92%
2013: 95%
This year, the school has a total of 360 students. How many students will attend the talent show this year (in %)​

Answers

The school has a total of 360 students. The number of students that would attend this year is 357.

What is the percentage?

A percentage is a minimum number or ratio that is measured by a fraction of 100.

The percentage of students in the school that attended the talent show for the years 2008 to 2013 is shown

2008: 86%

2009: 89%

2010: 93%

2011: 85%

2012: 92%

2013: 95%

Number of students that would attend this year

= percentage of students that attended in 2013 x total number of students

[tex]= \frac{94}{100} \times 380\\= 357.2[/tex]

Thus, 357 to the nearest whole number.

Learn more about percentages;

https://brainly.com/question/13450942

#SPJ2

Assume that it is equally likely for a child to be born a boy or a girl, and that the Lin family is planning on having three children. List the elements of the event that the Lins have at least one girl. (Use B to represent boy, and G to represent girl. For example, if there are three girls born, it would be represented as GGG).

Answers

Answer:

[tex]List = \{GBB; BGB; BBG; GGB; BGG; GBG; GGG\}[/tex]

Step-by-step explanation:

Given

[tex]Children = 3[/tex]

Required

List all cases of having at least 1 girl

We have:

[tex]B = Boy[/tex]

[tex]G = Girl[/tex]

For 1 girl, we have:

GBB; BGB; BBG

For 2 girls, we have:

GGB; BGG; GBG

For 3 girls, we have:

GGG

Hence, the list is:

[tex]List = \{GBB; BGB; BBG; GGB; BGG; GBG; GGG\}[/tex]

What is the perimeter of the track, in meters? Use tt 3.16 and round to the nearest hundredth of a meter

Answers

Answer:

The perimeter of the track is of 317 meters.

Step-by-step explanation:

Perimeter:

The perimeter of a figure is the sum of all its dimensions.

In this question:

The track is composed by two straights of 80m, and two half circles with a diameter of 50m.

Perimeter of a circle:

The perimeter of a circle with diameter d is of:

[tex]P = \pi d[/tex]

Track:

Two half circles, each with a diameter of 50m, plus two straight lines of 80m. So

[tex]P = \frac{2\pi}{2}(50) + 2*80) = 50\pi + 160 = 50*3.14 + 160 = 317[/tex]

The perimeter of the track is of 317 meters.

VWXY is a parallelogram. Find the value of n.
Help meeee

Answers

Answer:

3.5

Step-by-step explanation:

n+7=3n

7=2n

n=3.5

Answer:

n=7/2

Step-by-step explanation:

n+7=3n

-n     -n

7=2n

/2  /2

7/2=n

!NO LINKS, NO FILES!

please :)

Answers

Answer: 10.5 km

A = bh

A = 3.5 x 3

A = 10.5

Answer:

I think ur answer would be 10.5 km

Step-by-step explanation:

srry if wrong hope this helps

Help due at 12 am






God bless you

Answers

It kinda depends on ur breath hold it for 15 seconds and count in ur head mine was 33 how about urs. And the reason why it’s because it helps ur lungs to see if u can hold it
Plz mark me brainless
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