Mathematics High School

Pairs of markings a set distance apart are made on highways so that police can detect drivers exceeding the speed limit. Over a fixed​ distance, the speed R varies inversely with the time T. In one particular pair of​ markings, R 58 is mph when T is 7 seconds. Find the speed of a car that travels the given distance in 9 seconds.

Answers

Answer 1

Answer: [tex]45.11\ mph[/tex]

Step-by-step explanation:

Given

Speed R varies inversely with time T i.e.

[tex]R\propto \dfrac{1}{T}\\\\R=\dfrac{C}{T}\quad [\text{C=constant}][/tex]

when R=58 mph, T=7 s i.e.

[tex]58=\dfrac{C}{7}\quad \ldots(i)[/tex]

when T=9 s

[tex]R=\dfrac{C}{7}\quad \ldots(ii)[/tex]

Divide (i) and (ii)

[tex]\Rightarrow \dfrac{58}{R}=\dfrac{9}{7}\\\\\Rightarrow R=\dfrac{7}{9}\times 58\\\\\Rightarrow R=45.11\ mph[/tex]

Related Questions

Find the slope of a line that passes through the points:

(−4, 7), (−6, −4)

Answers

Answer:

= 11/2

Step-by-step explanation:

When we have two points, we can use the slope formula

m = ( y2-y1)/(x2-x1)

   = ( -4 -7)/(-6 - -4)

    = ( -4 -7)/(-6 +4)

    = -11/-2

     = 11/2

Their centers are A and F.







What is the same about the two circles? What is different?

What is the length of segment AD? How do you know?

On the first circle, what segment is a diameter? How long is it?

Answers

Answer:

ihave the same one help me with it pls

Step-by-step explanation:

Write the equation of a circle if its diameter has endpoints (2, 1) and (6, -3).

Answers

Answer:

y = -x + 3

Step-by-step explanation:

Given:

Coordinates are (2, 1) and (6, -3)

y = mx + c

For Coordinate (2, 1)

1 = m(2) + c

1 = 2m + c ........... Eq1

For Coordinate (6, -3)

-3 = m(6) + c

-3 = 6m + c ........... Eq2

From Eq2 - Eq1

6m - 2m = -3 - 1

4m = - 4

m = -1

From eq 1

1 = 2m + c

1 = 2(-1) + c

1 = -2 + c

c = 2 + 1

c = 3

So,

y = mx + c

y = (-1)(x) + 3

y = -x + 3

Can someone help me? Give me an explanation IF you can and the answer. The Quickest response gets BRAINLIEST

Answers

Answer:

The second option is correct.

Step-by-step explanation:

This is because when multiplied, they all equal the same number.

3*6 = 18

6*3 = 18

9*2 = 18

18*1 = 18

after a 4- hour steady storm there are 24 cm of snow on the ground at what hourly rate did the snow fall

Answers

Answer:6

Step-by-step explanation:24 divided by 4 = 6 i am so sorry if its wrong

Answer:6

Step-by-step explanation: 24 divided by 4 = 6

To solve the equation x - 4= 9, what should be done
to both sides?
add 4 to both sides
subtract 4 from both sides
add 9 to both sides
subtract 9 from both sides

Answers

Answer: add 4 to both sides

Step-by-step explanation:

Answer:

the answer is add 4 to both sides

HELP PLEASE I WILL MARK BRAINLIEST

Answers

Answer:for points

Step-by-step explanation:

Hsjsnsns.

what is the median of 19, 9, 14, -11, -1, -17, -6, 19, -13

Answers

Answer:

-1

Step-by-step explanation:

Arrange the numbers from least to greatest:

-17, -13, -11, -6, -1, 9, 14, 19, 19

Whichever number is in the middle is the median:

-1

Answer:

-17,-13,-11,-6,-1,9,14,19,19 answer is -1

Step-by-step explanation:

order the number largest to smallest but if both middle add divide into 2

slove
[tex]4 \div 2(5 - 8)[/tex]​

Answers

Answer:

Hello! answer: -6

4 ÷ 2 = 2 5 - 8 = -3

2(-3) = -6 therefore the answer is -6 hope that helps!

-6 is the correct answer !!

find the positive value of p if the expression 2x²-px+p leaves a remainder 6 when divided by x-p​

Answers

Explanation:

[tex]f(x) = 2x^2 -px + p\\given \ f(x) \ \ leaves ] remainder \ when \ divided \ by \ x - p \\\\Therefore, \\\\f(p) = 6\\\\=> f(p) = 2(p)^2 -p(p) + p = 6\\\\==>2(p)^2 - p^2 + p = 6\\\\=> p^2 + p - 6 = 0\\\\=>p^2 + 3p - 2p -6 = 0\\\\p(p+3)-2(p+3) =0 \\\\(p-2)(p+3) = 0\\\\p = 2, -3[/tex]

Answer : p = 2

pliss solve and give explaniaton

Answers

Answer:

300in²

Step-by-step explanation:

l= 12

w= 9

h= 2

Substitute into the equation

S= 2(lw+ wh + hl)

S= 2( 12x9 + 9x2+ 12x2)

S= 2( 108+ 18 + 24)

S= 2( 150)

S= 300

Figure J is the result of a transformation on figure I. Which transformation would accomplish this?

Answers

Answer:

A rotation 180 clockwise about the origin

Step-by-step explanation:

if you want me to explain, I can in the comments

Helpppppp pleaseeeer

Answers

Answer:

D is the answer

Step-by-step explanation:

Find the exact value of tan A in simplest radical form

Answers

Answer:

tan A = 1.8

Step-by-step explanation:

tan A = 14/√60 = 1.8

Write (43)5 as a single power of 2​

Answers

Answer:

Inserting the squared symbol on your Android smartphone is relatively easy and straightforward. To insert the squared sign, just long-press the number 2 and it will insert the superscript ².

Step-by-step explanation:

Find the value of y

Answers

Answer:

y = 23

Step-by-step explanation:

The angle vertically opposite 3y is congruent, then

(5y - 4) and 3y are same- side interior angles and sum to 180°, that is

5y - 4 + 3y = 180

8y - 4 = 180 ( add 4 to both sides )

8y = 184 ( divide both sides by 8 )

y = 23

Please help!
Find the unknown angle measures
Options: 30°, 51.5°, 60°, 141.5°

Answers

Answer:51.5 degree

Step-by-step explanation: Since DEF is an isosceles triangle, angle D and F needs to be equal. So substract 77 from 180 and divide by 2.

Answer:

Step-by-step explanation:

let angle D and angle F be x

x+x+77=180 degree(being sum of the interior angle of a triangle)

2x=180-77

x=103/2

x=51.2 degree

both angle D and F are 51.2 degree because the base angles of an isosceles triangle are equal.

Find the measure of the missing angle in the triangle below А B 100° 55° C​

Answers

Ermm 350 or 500 im sure

Write the word sentence as an equation. The product of a number d and 7 is 63. An equation that represents this word sentence is

Answers

Answer

Equation: 7d= 63

Will give brainlest come on!!!!! Please respond!!

Answers

what do u need help with?

Which equation has the same solutions as 2x2 + x - 3=0?
(1) (2x - 1)(x + 3)=0
(2) (2x + 1)(x - 3)= 0
(3) (2x - 3)(x+1)=0
(4) (2x + 3)(x - 1)=0

Answers

Answer:

I think it’s (4)

Step-by-step explanation:

Not sure but thats the only close answer I got

I believe the answer is 4

Compute 7-9-2+10-4?

Answers

I believe it would be 2. Since 7-9= -2 then subtract another 2 which equals -4 then add 10 which equals 6 then subtract 4. Which equals 2.

2 is the answer, hope this helps

7p−9=−22 elp meh plz my dudes TwT

Answers

Step-by-step explanation:

7p-9= -228p=-22+98p= -13p=-13/7

stay safe healthy and happy...

When the log (of the same base) is the outermost step on both sides of the equation, the logs ___.
1. are added
2. are divided
3. are subtracted
4. cancel out
5. are multiplied

Answers

Answer:

cancel out

Step-by-step explanation:

Marking brainliest

In your own words, what does freedom mean to you?

Answers

Freedom to me means that you have the power to speak and act in the way you want as long as you are not breaking any laws or already in trouble with the law


Chris has a bag of four apples. Three of the apples are red and one of them is green. He also has two
sandwiches. One of the sandwiches is ham and the other is turkey, If he reaches into both bags without looking, what is the probability that he will grab a red apple and a ham sandwich?
A. 1/8
B. 1/2
C. 3/8
D. 2/3

Answers

Answer: 3/8

Step-by-step explanation:

It’s the answer :>

Answer:

c. 3/8

Step-by-step explanation:

3/4 * 1/2 = 3/8

i multiplied both probabilities

multiply -1/2 c(4c -2) Please ASAP

Answers

Answer:

-2c^2 + c

Step-by-step explanation:

SOMEONE PLEASE HELP ME! I promise i will mark brainlest, but i need the right answer for this. help is much appreciated <3

Answers

Answer:

the third choice

Step-by-step explanation:

I haven't done those questions in a long time so I would double check. But I think its choice C because 0 has two functions, and I'm pretty sure that a number can only have 1 output, therefore C is not a function..

For the drawing, provide the missing lengths. x= hypotenuse y= leg

Answers

Answer:

Above picture is the solution for your question

Step-by-step explanation:

Use relation of trignometric ratio to get answer

Answer:

[tex]x = \frac{7}{ \sin(45 \degree) } \\ x = {7 \sqrt{2} } \\ [/tex]

[tex]y = \frac{7}{ \tan(45 \degree) } \\ y = 7[/tex]

[tex] {\boxed{ x = 7 \sqrt{2} }} \\ { \boxed{y = 7}}[/tex]

Debbie used 40% of her flour for cookies. She started with 24 cups; how many cups did Debbie use?

Answers

the other asnwers dont make any sense. but just take my word for it.

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