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

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

7ax−7bx−2ay+2by
Factor by grouping

Answers

Answer:

(7x−2y)(a−b)

Step-by-step explanation:

subtract 7ax from 7bx maybe the add the 2ay and 2by then subtract thoses anwsers.

To tell the truth I am just guessing from what I know I AM ONLY 13 DON"T EXPAECT TOO MUCH FROM ME!

What is the area of a concrete floor that is 110 feet long and 65 feet wide? The floor area is square feet.​

Answers

Answer:

7150 square feet

Step-by-step explanation:

The area of a rectangle is the length times the width.

110*65=7150

On a standardized exam, the scores are normally distributed with a mean of 200 and
a standard deviation of 50. Find the Z-score of a person who scored 140 on the exam.

Answers

Answer:

First, compute the z-score:

 

z = (x-μ)/σ = (650-500)/100 = 150/100 = 1.5

 

Now look up the percentile for z = 1.5 on a z-score table (http://www.z-table.com/).  The percentile, p(z=1.5), is the percent of people who scored 650 or less.  The percent who scored more than 650 is 1-p(z=1.5).  Multiply that by the 1200 students to get the number who scored more than 650.  Round to the nearest whole number (because you can't have a fraction of a person).

For the given data the value of the z score will be 1.5

What is the standard deviation?

It is referred to as a measure of data dispersal since it provides information on how widely the data is dispersed.

[tex]\rm \sigma = \sqrt{\dfrac{ \sum (x_i-X)}{n}[/tex]

σ stands for the standard deviation

x  is the value from the data set

X is the data set mean

n is the number of observations

It is given that, On a standardized exam, the scores are normally distributed with a mean of 200 and a standard deviation of 50.

The Z-score of a person who scored 140 on the exam is as,

z = (x-μ)/σ

z = (650-500)/100

z  = 150/100

z  = 1.5

Thus, the value of the z score will be 1.5

Learn more about the standard deviation here:

brainly.com/question/12402189

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Which side lengths form a right triangle?

Answers

Answer:

Answer:[tex] \huge\mathfrak\pink{S} \huge\mathfrak\purple{o} \huge\mathfrak\blue{l} \huge\mathfrak\red{u} \huge\mathfrak\green{t} \huge\mathfrak\pink{i}\huge\mathfrak\purple{o}\huge\mathfrak\red{n}\huge\mathfrak\orange{➔}\ [/tex] Pythagoras law:h²=p²+b²

needed to apply

4²+√8²=24²

24≠576

not a right angled triangle

again

5²+√5²=5²

50≠25

side are not a right angled triangle

again

4²+7.5²=(8.5)²

72.25=72.25

side are a right angled triangle

The difference between two numbers is 3. What is the larger number if the smaller number is -4? *

Answers

Answer:-1

Step-by-step explanation:

Subtract plus 3

Answer:

-1

Step-by-step explanation:

x-y=3

x—Larger number

y—smaller number

x-(-4)=3

x+4=3

x=–1

Rewrite by completing the square f(x) = x2 - 6x +43

Answers

Answer:

f(x) = (x - 3)^2 + 34

Step-by-step explanation:

Need help fast please,

Answers

Answer:

with?

Step-by-step explanation:

Answer:

I can help you really fast, if you give me something to work on

Step-by-step explanation:

also, my life is blank like this question


2. Bart and Jimmy's Ice Cream Shop are designing a new logo for their company. The logo is shown
below. What is the area of Bart and Jimmy's new logo?
A 88.26 cm?
B 74.13 cm
C 58.26 cm
D 44.13 cm
HURRY

Answers

Answer:

Marie Skłodowska-Curie

Polish chemist and pioneer in the field of radioactivity. First woman to become a professor at the University of Paris.

^ po polsku być powinno

Kto Polska?

A middle school took all of its 6th grade students on a field trip to see a play at a theater that has 4340 seats. The students left 2387 seats vacant. What percentage of the seats in the theater were filled by the 6th graders on the trip?

Answers

Answer: 45%

Step-by-step explanation:

The expression 3 + 2(x - 5)2
models the height of a ball after X seconds. The constant in the simplified form of the expression represents the initial height, in feet, of the ball. What is the initial height of the ball?
A. -30 feet
B. -5 feet
C. 3 feet
D. 53 feet​

Answers

9514 1404 393

Answer:

  D.  53 feet

Step-by-step explanation:

The value of the expression when x=0 is ...

  3 + 2(-5)² = 3 + 2(25) = 3 +50 = 53

The initial height of the ball is 53 feet.

A study examined the effectiveness of an ear-molding technique used to correct ear deformities in newborns without the need for surgery. A plastic mold was placed around the deformed ear shortly after birth for about two weeks. The study reports that 152 of 158 procedures were successful. We would like to estimate with 95% confidence the true proportion of successful ear-molding procedures among all newborns needing ear-deformity correction. We can use

Answers

Answer:

The 95% confidence interval for the true proportion of successful ear-molding procedures among all newborns needing ear-deformity correction is (0.932, 0.992).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

The study reports that 152 of 158 procedures were successful.

This means that [tex]n = 158, \pi = \frac{152}{158} = 0.962[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.962 - 1.96\sqrt{\frac{0.962*0.038}{150}} = 0.932[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.962 + 1.96\sqrt{\frac{0.962*0.038}{150}} = 0.992[/tex]

The 95% confidence interval for the true proportion of successful ear-molding procedures among all newborns needing ear-deformity correction is (0.932, 0.992).

The 95% confidence interval of the true proportion of successful ear-molding procedures among all newborns needing ear-deformity correction is; CI = (0.9322, 0.9918)

We want to find confidence interval and the formula is;

CI = p^ ± z√(p^(1 - p^)/n)

We are told that the study reports that 152 of 158 procedures were successful. Thus;

n = 158

p^ = 152/158

p^ = 0.962

Now, we want to find the confidence interval at a 95% confidence level.

The critical z value for 95% confidence level is;

z = 1.96

Thus;

CI = 0.962 ± 1.96√(0.962(1 - 0.962)/158)

CI = 0.962 ± 0.0298

CI = (0.962 - 0.0298), (0.962 + 0.0298)

CI = (0.9322, 0.9918)

Read more at; https://brainly.com/question/17212516

find the correct results.
remember the maths is exact .
1+4=5
2+5=12
3+6=21
5+8=...​

Answers

9514 1404 393

Answer:

  5 + 8 = 45

Step-by-step explanation:

We observe that the sequence of numbers on the left is arithmetic, with each value increasing by 1 from each expression to the next.

Similarly, we observe that the sequence on the right increases by an increasing amount from one number to the next. First differences are 7, 9, suggesting that each successive line in the table will differ by 2 more than the previous two lines did.

Following this pattern, we have ...

  4 + 7 = 32

  5 + 8 = 45

_____

Additional comment

Here, it seems, the symbol "+" in the expression "a+b" is intended as a stand-in for the function f(a, b). That is, we're given three expressions ...

  f(1, 4) = 5

  f(2, 5) = 12

  f(3, 6) = 21

and asked to predict the value of f(5, 8).

f may be any of a variety of functions. A couple of them are ...

  f(x, y) = x^2 +4y -12

  f(x, y) = y^2 -2x -9

or ...

  f(n, n+3) = n(n+4), which could also be written f(x, y) = x(y+1)

he volume of a cylinder varies jointly with the base (area) and the height. The volume is 40inches^3 when the base (area) is 6inches^2 and the height is 20inches. Find the volume of the cylinder (after finding the variation constant) when the base (area) is 8inches^2 and the height is 12inches.

Answers

Answer:

Variation factor k = 1/3

New volume when the base (area) is 8inches^2 and the height is 12inches is 32 in3

Step-by-step explanation:

As we know,  

The volume of cylinder (V) is given by πr²h  

Here  πr² = base area and h is the height of the cylinder

V ∞ πr²h

V = kπr²h  

Substituting the given values, we get  

40 = 6 x 20 x k

40 = 120k and

k   = ⁴⁰/₁₂₀

    = ¹/₃.

Volume when base area = 8in² and h = 12 inch

V = 8 x 12 x ¹/₃

V = 32in³

The length of a rectangle is 4y inches. The with of a rectangle is (y+2) Find the perimeter of the rectangle in terms of y

Answers

Answer:

10y+4

Step-by-step explanation:

perimeter=2(l+b)

2(4y+(y+2))

2(4y+y+2)

2(5y+2)

10y+4

Fill in the missing number 87, 84, 81 —, —-

Answers

The last two answers are 78 and 75

Answer:

87 , 84, 81, 78, 75

Step-by-step explanation:

it goes down each time by threes

Anyone know this.......

Answers

Answer:

a) The basic rate of pay is 6 sterling pounds per hour.

b) The higher rate of pay is 10 sterling pounds per hour.

Step-by-step explanation:

Both segments of the curve are first order polynomials, which means that each have constant slopes.

a) The basic rate of pay is the value of the slope ([tex]r[/tex]), in sterling pounds per hour, of the line for the first 20 hours worked, that is:

[tex]r = \frac{\Delta y}{\Delta x}[/tex] (1)

Where:

[tex]\Delta x[/tex] - Change in hours worked, in hours.

[tex]\Delta y[/tex] - Change in pay, in sterling pounds.

If we know that [tex]\Delta x = 20\,h[/tex] and [tex]\Delta y = \pounds\, 120[/tex], then the basic rate is:

[tex]r = \frac{\Delta y}{\Delta x}[/tex]

[tex]r = \frac{\pounds\,120}{20\,h}[/tex]

[tex]r = 6\,\frac{\pounds}{h}[/tex]

The basic rate of pay is 6 sterling pounds per hour.

b) By using (1), we calculate the higher rate of pay below. If we know that [tex]\Delta x = 10\,h[/tex] and [tex]\Delta y = \pounds \,100[/tex], then the higher rate is:

[tex]r = \frac{\Delta y}{\Delta x}[/tex]

[tex]r = \frac{\pounds\,100}{10\,h}[/tex]

[tex]r = 10\,\frac{\pounds}{h}[/tex]

The higher rate of pay is 10 sterling pounds per hour.

(8 – 10i) – (-16 + 2i)

Answers

Answer:

8-10i - -16+2i= 236

Step-by-step explanation:

I am brainliest

Answer:

-16

Step-by-step explanation:

(8-10i) - (-16+2i)

2i - (-14i)

-16

Suppose you have 62 feet of fencing to go around a rectangular flower garden. You want
the length to be 9 feet longer than the width, w. What are the dimensions of the flower garden?
Define your variables, write an equation, and solve. (Hint: Draw a rectangle and label all the sides).

What's the width of the rectangle?

And what's the length?

Answers

Answer:

Answer is 9 feet = 9 fe 2t

w= 9fe 2t

Step-by-step explanation:

The answer is 9 feet! Hope this helps!

I need help!

Question 1 and 2 have the same questions so HELP!!

Answers

Answer:

21.99 or just round to 22

Step-by-step explanation:

Radius is 3.5

Diameter is 7

Circumference is 21.99

Answer:

1st Circle

Radius = 3.5

Diameter = 7

Circumference = 2 × [tex]\pi[/tex] × r = 2 × 3.14 × 3.5 = 21.98

2nd Circle

Radius = 9

Diameter = 18

Circumference = 2 × [tex]\pi[/tex] × r = 2 × 3.14 × 9 = 56.52

:DDDDDDDDD

In January 2008, the temperature in parts of Minnesota fell from 46 (Fahrenheit) to -14(Fahrenheit) over a 24-hour period. What was the average temperature change per hour?

Answers

Answer:

the answer is -0.4.  

Step-by-step explanation:

brainliest if right maybe?

Is (1,2) (1,3) (1,4) a function?

Answers

Answer:

yes

Step-by-step explanation:

No, because the domain starts in 1 for all of the numbers.

what is 873 divided by 35?!!

Answers

873 divided by 35= 24 33/35

Dr. Victory is a psychologist studying the effects of high-level classes, bullying, and music classes on the anxiety levels of middle school students. He has previously determined that the effects from class levels, bullying experiences, and music classes are independent. It has been determined that the probability that a student is taking a high-level English class is 0.23, the probability that a student has been bullied is 0.36, and 1/3 of students are in music classes.
(a) What is the probability that a randomly selected student is in a high-level English class and has been bullied?
(b) What is the probability that a randomly selected student is in a music class and has been bullied?
(c) What is the probability that a randomly selected student is in a music class, has been bullied, and is in a high-level English class?

Answers

Answer:

a) 0.0828 = 8.28% probability that a randomly selected student is in a high-level English class and has been bullied

b) 0.12 = 12% probability that a randomly selected student is in a music class and has been bullied

c) 0.0276 = 2.76% probability that a randomly selected student is in a music class, has been bullied, and is in a high-level English class

Step-by-step explanation:

Probabilities of independent events happening together:

The probabilities of independent events happening together is the multiplication of the probabilities of each event happening.

In this question:

0.23 probability that a student is taking a high-level English class.

0.36 probability that a student has been bullied.

1/3 = 0.3333 probability that a student is in music class.

(a) What is the probability that a randomly selected student is in a high-level English class and has been bullied?

0.23*0.36 = 0.0828

0.0828 = 8.28% probability that a randomly selected student is in a high-level English class and has been bullied

(b) What is the probability that a randomly selected student is in a music class and has been bullied?

0.36*1/3 = 0.12

0.12 = 12% probability that a randomly selected student is in a music class and has been bullied

(c) What is the probability that a randomly selected student is in a music class, has been bullied, and is in a high-level English class?

0.23*0.36*1/3 = 0.23*0.12 = 0.0276

0.0276 = 2.76% probability that a randomly selected student is in a music class, has been bullied, and is in a high-level English class

An inspector for a military agency desires a variables sampling plan for use with an AQL of 1.5%, assuming that lots are of size 7,000. If the standard deviation of the lot or process is unknown, derive a sampling plan using Procedure 1 from MIL STD 414.

Answers

Answer:

use inspection level 4 ( IV )  to perform a normal inspection or tightened inspection to derive a sampling plan procedure from MIL STD 414

Step-by-step explanation:

Having an  AQL of 1.55

assuming lots size of 7000

Std = unknown

To derive a sampling plan

use inspection level 4 ( IV ) where the sample size is denoted as M ( i.e. sample size n = 14)  which will reciprocate an acceptable quality level of 1.5%. on a normal inspection the value of K will be = 1.4 but if we employ a tightened inspection the value of K will become 1.54 in value

note that : both the normal and tightened inspection can be performed using the same table

Help please thank you !!

Answers

Answer:

AC and AE

Step-by-step explanation:

Those are the only secants in the image shown.

If the volume of two similar spheres are 128m^3 and 1458m^3.
1. What is their scale factor? (in a ratio)
2. What is the ratio of their surface areas?

Answers

Answer:

ZOOM PLZ COME WE R BORED

MEETING ID 798 4170 2552

PASSWORD:XCNeV3

Step-by-step explanation:

Scale factor is 11.39 and ratio is 729:64

what is scale factor?

The scale factor is a measure for similar figures, who look the same but have different scales or measures.

volume of two similar spheres are 128m³ and 1458m³.

Scale factor= volume of sphere 1/ volume of sphere 2

= 1458/128

= 729/64

= 11.39

and the ratio = 729 : 64

learn more about scale factor here:

https://brainly.com/question/22312172

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HELP ME PLEASE I AM CRYING

Answers

Answer:

I thinks is the 4th or the last

There are 2 hikers, one of them wanders off the trail. How many hikers are left?

PLZ HELP!!!!!

Answers

1 hiker left the trail while 1 is still on it, so theres 1 hiker on the trail.

Answer please which number line shows 1/3 and it’s opposite

Answers

Answer:

D

Step-by-step explanation:

the first of three parts is what 1/3 is

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