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

PLS HELP I WILL GIVE BRAINLIEST

Answers

Step-by-step explanation:

[tex]6 {x}^{2} {y}^{3} - 2x + 10 \\ when \: x = 5 \: y = - 3 \\ 6( {5})\: ^{2} ( { - 3})^{3} - 2(5) + 10 \\ 6 (25)( - 27) - 10 + 10 \\ = - 4050[/tex]

The perimeter of a triangular park is (16x + 3) feet. Two of the sides are 5x - 1 and 2x + 5. What is the missing length?

Answers

Answer:

9x - 1

Step-by-step explanation:

A triangle is a three-sided polygon with three edges and three vertices. the sum of angles in a triangle is 180 degrees

Area of a triangle = 1/2 x base x height

the perimeter of a triangle = sum of the side lengths

missing length = perimeter - sum of the two sides

sum of the two sides = (5x -1) + (2x + 5) = 7x + 4

missing length = 16x + 3 - (7x + 4) = 9x-1

How are the shapes alike ?

Answers

Answer:

those 4 options are wrong, unless I am d.u.m.b

Step-by-step explanation:

both of those figures have 6 faces, and 8 edges.

Have a nice day! :-)

Answer:

Each shape has 12 edges

Step-by-step explanation:

Every cube (regular hexahedron) has 6 square faces and each face has 4 edges. However, each edge is shared between 2 faces. So, you can determine how many edges there are by multiplying 6 x 4 and dividing the resulting number (24) by 2, getting the final number of 12.

What are the possible vaules of x it (4x-5)2=49?

Answers

[tex]\boxed{The\:value\:of\:x\:is\:7.375.}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex](4x - 5)2 = 49 \\ ⇢8x - 10 = 49 \\⇢8x = 49 + 10 \\ ⇢8x = 59 \\ ⇢x = \frac{59}{8} \\ ⇢x = 7.375[/tex]

Therefore, the value of x is 7.375.

[tex]{ \bf{ \underbrace{To\:verify :}}}[/tex]

[tex](4x - 5)2 = 49 \\ ⇢(4 \times 7.375 - 5)2 = 49 \\ ⇢(29 .5 - 5)2 = 49 \\ ⇢24.5 \times 2 = 49 \\ ⇢49 = 49 \\ ⇢ L.H.S.=R. H. S[/tex]

Hence verifed.

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]

The possible value would be 7.375 let me know if it works!


The volume of a sphere can be given by the formula V = 4.18879r. You have to design a spherical container that will hold
a volume of 55 cubic inches. What should the radius (r) of your container be? Round your final answer the nearest
hundreths place.

Answers

Answer:

2.36 inches

Step-by-step explanation:

V = 4.18879r³

to determine the value of r, make r the subject of the formula in the above equation

∛(V/4.18879) = R

∛(55/4.18879) = r

r = ∛13.130283

r = 2.36 inches

the hundredth is the second number after the decimal place. To convert to the nearest hundredth, look at the number after the hundredth (the thousandth). If the number is greater or equal to 5, add 1 to the hundredth figure. If this is not the case, add zero

ANOTHER THING I NEED HELP ON AGAIN!!’

Answers

Answer:

2.5, 16,3,32

Step-by-step explanation:

What is the k’s meaning in k over 5 = 5

Answers

Answer:

25

Step-by-step explanation

5 times 5 is 25

(To make problems like this easier just multiply the denominator by the result, take this problem for example, the denominator is 5 and the result is 5 so just multiply those and you get 25)

helppppppp please (3)

Answers

Answer:

please provide an image so we know what to solve

THERE ISNT ANYTHING HERE BRSTIE

If speakers are originally £40 and the discount is 10% what was the price paid

Answers

Answer:

44

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Which of the following are equations for the line shown below? Check all that
apply.
(-3,6)
(-2,2)
5
O A. y-2=-4(x + 2)
U
B. y + 3 = -4(x-6)
O C. y-6 = -4(x + 3)
D. y=-4x-6

Answers

Answer:

D. y = -4x - 6

Step-by-step explanation:

→ Work out gradient of line

[tex]\frac{2-6}{-2--3} =\frac{-4}{1} =-4[/tex]

→ Write into y = mx + c format

y = -4x + c

→ Substitute ( -2 , 2 ) into the equation to find c

2 = 8 + c

→ Minus 8 from both sides

-6 = c

→ Write full equation y = -4x - 6

AABC is a right triangle. AB=____

Answers

Since ABC is a right triangle, we can use Pythagorean Theorem to solve for side AB.

Pythagorean Theorem: a^2 + b^2 = c^2

4^2 + 7^2 = c^2

16 + 49 = c^2

65 = c^2

c = 8.06

Hope this helps!! :)

Answer:

8.06

Step-by-step explanation:

Well the formula for this is [tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]

The sides given are called the opposite and the adjacent, which, in this formula correspond to a and b. What you are trying to find is called the hypotenuse, and in this formula, c.

First you need to square a and b, like in the formula:

[tex]4^{2}[/tex] = 16

[tex]7^{2}[/tex] = 49

Now you add these together to find [tex]c^{2}[/tex]:

16 + 49 = 65

So [tex]c^{2}[/tex] is 65, and to find c you need to square root that:

[tex]\sqrt{65}[/tex] = 8.0622577...

So its approximately 8, and more accurately 8.06

someone pls help!

Exponential function fis represented by the table.
Х
-2
-1
0
1
2
f(x)
-46
-22
-10
-4
-1
Function g is represented by the equation.
I
g(x) = -18
18(1) + 2
Which statement correctly compares the two functions on the interval [-1, 2]?
ОА.
Both functions are increasing, but function fincreases at a faster average rate.
OB.
Only function fis increasing, but both functions are negative.
OC.
Both functions are increasing, but function g increases at a faster average rate.
OD.
Only function fis increasing, and only function fis negative.

Answers

Answer:

okkkkk

wait

helping see the attachment

The statement that correctly compares the two functions on the interval [-1, 2] is that Both functions are increasing, but function g increases at a faster average rate.

How do you know an exponential function?

Exponential functions are kwon to be a type of function that is often written in the form: y = abx.

Where:

b = constant ratio.

a = initial value.

One can known this function if a given table of ordered pairs, has  x increasing by a constant value and the value of y increases by a common ratio.

From the Exponential table, we can see that the two functions (x, fx)are increasing, but only that of function g was said to have increases at a faster average rate.

Learn more about Exponential function from

https://brainly.com/question/12940982

What is the equation of the line that passes through the points (4,-1 ) and (-7,4 )?

Answers

Answer:

[tex] \large{ \tt{❃ \: STEP- BY - STEP \: EXPLANATION}} : [/tex]

Let the equation of line passes through the points A ( 4 , - 1 ) and B ( - 7 , 4 ) . Let A ( 4 , -1 ) be ( x₁ , y₁ ) & B ( - 7 , 4 ) be ( x₂ , y₂ )

[tex] \large{ \tt{❁ \: LET'S \: START}} : [/tex]

Using two - point form of the equation of straight line , we have :

[tex] \boxed{ \large{ \bf{❀ \: y -y _{1} = \frac{y_{2} - y_{1} }{x_{2} - x_{1}} (x - x_{1)}}}}[/tex]

- Plug the values :

[tex] \large{ \bf{⇢ \: y - ( - 1) = \frac{4 - ( - 1)}{ - 7 - 4}(x - 4) }}[/tex]

[tex] \large{ \bf{⇢y + 1 = \frac{4 + 1}{ - 11} (x - 4)}}[/tex]

[tex] \large{ \bf{⇢ \: y + 1 = - \frac{5}{11} (x - 4)}}[/tex]

[tex] \large{ \bf{⇢y + 1 = - \frac{5}{11}x + \frac{20}{11} }}[/tex]

[tex] \large{ \bf{⇢y + 1 = \frac{ - 5x + 20}{11} }}[/tex]

[tex] \large{ \bf{⇢11(y + 1) = - 5x + 20}}[/tex]

[tex] \large{ \bf{⇢11y + 11 = - 5x + 20}}[/tex]

[tex] \large{ \bf{⇢5x + 11y + 11 - 20 = 0}}[/tex]

[tex] ⇢ \boxed{\large{ \bold{\bf{5x + 11y - 9 = 0}}}}[/tex]

♕ Hence , 5x + 11y - 9 = 0 is the required equation of the line.

✺ The two most important days in your life are the day you are born and the day you find out why ! ♪

♡ Hope I helped! ツ

☪ Have a wonderful day / evening ! ☼

# StayInAndExplore ! ☂

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Mrs. Franklin sells MSU hats and sweatshirts. She is hoping to earn $500 by charging
$20 for each sweatshirt and $10 for each hat. If she sells a total of 30 items, Mr.
Sanders wants to know how many of each item she sells.
Let H represent the number of hats and S represent the number of sweatshirts.
What equation relates S and H to the total Money earned?
0 205 + 10H - 500
O 105 + 20H = 500
105 - 500
10H - 400

Plz help

Answers

Answer:

for the next week and I don't want you guys watch

Step-by-step explanation:

hi there there no no of I following help to this online as

$500 + $20 = 30 south of course and I

Un estudiante debe recorrer dos tercios de kilómetro para llegar al colegio, si avanza medio kilómetro en bus y lo demás a pie ¿Cuánto le falta caminar?

Answers

Answer:

Al estudiante le falta caminar [tex]\frac{1}{3}[/tex] de kilómetro.

Step-by-step explanation:

Un estudiante debe recorrer dos tercios de kilómetro para llegar al colegio. Dos tercios equivale a la fracción [tex]\frac{2}{3}[/tex] .

El estudiante avanza medio kilómetro en bus. Un medio equivale a la fracción [tex]\frac{1}{2}[/tex], por lo tanto un medio es la mitad de una cantidad.  Para calcular la distancia recorrida en bus se realiza la siguiente multiplicación:

[tex]\frac{1}{2} *\frac{2}{3}[/tex]

Resolviendo:

[tex]\frac{1}{2} *\frac{2}{3} =\frac{1*2}{2*3} =\frac{2}{6} =\frac{1}{3}[/tex]

Entonces, la distancia recorrida en bus es [tex]\frac{1}{3}[/tex] de kilómetro.

Para calcular la distancia recorrida a pie se calcula la diferencia entre la distancia total a recorrer por el estudiante y la distancia recorrida en bus. Esto es:

[tex]\frac{2}{3} - \frac{1}{3}[/tex]

Resolviendo:

[tex]\frac{2}{3} - \frac{1}{3}=\frac{2-1}{3} =\frac{1}{3}[/tex]

Al estudiante le falta caminar [tex]\frac{1}{3}[/tex] de kilómetro.

pleasee helppp i have 15 assignments to finish plus a final exam in 4 hours !!

Answers

f(x) = square root of (-7 + 2) - 6

f(x) =square root of (-5) - 6

f(x) = 2.236 = 2.2 - 6

f(x) = -3.8

F(x) = √x+2 -6

F(x) = √7+2 -6

F(x) = 3-6

F(x) = -3

Find the equation of a line with m = 3 that passes though the point (-12,
4).

Answers

Answer:

y = 3x + 40

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 3 , then

y = 3x + c ← is the partial equation

To find c substitute (- 12, 4 ) into the partial equation

4 = - 36 + c ⇒ c = 4 + 36 = 40

y = 3x + 40 ← equation of line

There are 12 sixth graders, 11 seventh
graders, and 13 eighth graders on a
soccer team. The coach randomly selects
one student to collect all of the soccer
balls. In how many ways can choosing
not an eighth grader occur?

Answers

Answer: 1

Step-by-step explanation:

because there not the only ones on the team

what type of polynomial is this 5x2-x+4

Answers

Answer:

Step-by-step explanation:

It is a trinomial because the given polynomial has three terms

Select the values that make the inequality n > -8 true.
(Numbers written in order from least to greatest going across.)

Answers

Answer:

9

Step-by-step explanation:

I'm somewhat confused I think you're forgot to put so more information

The value that makes the inequality n > -8 true will be -2. Thus, the correct option is A.

What is inequality?

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

The inequality is given below:

n > -8

The value of n is greater than -9. Then the value that makes the inequality n > -8 true will be -2.

Thus, the correct option is A.

More about the inequality link is given below.

https://brainly.com/question/19491153

#SPJ2

The missing options are given below.

a) - 2

b) - 9

c) - 10

d) - 20

Nicole received a $15.00 gift card for a photo center. She used it to buy prints that cost 7 cents each. The remaining balance, B (in dollars), on the card after buying x prints is given by the following.
What is the remaining balance on the card if Nicole bought 50 prints?

Answers

Answer:

$11.50

Step-by-step explanation:

Since it's 7 cents to buy 1 print, you do 7 times 50 = 350 cents for 50 prints which is $3.50 so then we do $15.00 - $3.50 = $11.50

Therefore, the remaining balance on the card is $11.50

Please mark my answer as brainliest, it will help a lot.

Guys, A little help here pls? lol
Basically uhhh Im not really sure what unit rate is yet and its kinda a new lesson we're learning-

Answers

4.5

4.5

4.5

4.5

4.5

4.5

4.5

4.5

4.5

Find the area of the triangle



Answers

Answer:

12 units2

Step-by-step explanation:

(6x4) /2 =12

Simplify: -10m + 2m4 – 13m – 20m4

Answers

Answer:

-23m-18m^4

Step-by-step explanation:

-10m+2m^4-13m-20m^4

(-10m+-13m)+(2m^4-20m^4)

-23m+-18m^4

-23m-18m^4

If this helps please mark as brainliest

What is the range for 42 42 52 53 58 58 61

Answers

Answer:

range would be 19

Step-by-step explanation:

Answer:

I have to say -282

Step-by-step explanation:

The range is the difference between the smallest and highest numbers in a list or set. To find the range, first put all the numbers in order. Then subtract (take away) the lowest number from the highest. The answer gives you the range of the list.

What is the graph of y = x2 + 6x + 13 ?
What does the graph look like

Answers

Answer:

If I entered it in correctly it would look something like this,,

If the information given below represents an arithmetic sequence


a1= 49 and a8= 14 find:


d =


a27=



WILL AWARD BRAINLIEST

Answers

Answer:

a₂₇ = -81

Step-by-step explanation:

Given that,

The first term of an AP is, a₁ = 49

8th term of the AP, a₈ = 14

nth term of an AP is given by :

[tex]a_n=a_1+(n-1)d\\\\a_8=49+7d\\\\14=49+7d\\\\7d=-35\\\\d=-5[/tex]

27th term of the AP is given by :

[tex]a_{27}=a_1+26d\\\\=49+26(-5)\\\\=-81[/tex]

So, 27th term of the AP is -81.

The function f(x) = { x + is used to complete this table. Which statements are true of the given function?
(-1,1) (0,3/2) (1,2) (2,5/2) ​

Answers

Answer:

i don't know

Step-by-step explanation:

can you explain? thank you

True or False
3 is a factor of n(n + 2)(n − 1) by mathematical induction.
Explain why.

Answers

true true true true true true true

Answer:

false

Step-by-step explanation:

3(3+2)(3-1) is not =0

The factor of n(n+2)(n-1) = 1

What should be done first to simplify 22/2 • 3/9 • 4

Answers

Answer:

44/3

Step-by-step explanation:

Reduce 22/2 to 11, 3/9 to 1/3:

11(1/3)(4)

Working from left to right:

11(4)

------ = 44/3

  3

Answer:

Step-by-step explanation:

simplify 22/2 then multiply it by 3/9

then multiply that answer by 4 and your total will be 14.6

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If clothing is priced at $10 per unit, the price of food per unit must be i need help badly due today Plz help me well mark brainliest if correct..????. Determine the smallest integer value of x in the solution of the following inequality.-3x+105 Can you solve 8n- 4= 52 Les enfants (terminer) leur travail ce soir................... I NEED HELP HELP!!THIS IS DUE IN AN HOUR!! 60 POINTS PLUS BRAINLIST!!Describe how the author uses flashback to build surprise in the passage. Be sure to use specific details from the passage in your explanation. In order to get ready for my trip to Paris, I had met with a French woman named Veronique. I had heard she was the best French language tutor in the Los Angeles area, so I had set up appointment to meet her for lessons at her home. As I had entered her house, she told me that she was a native Parisian who had recently moved to the United States and that she desperately missed France. I had told her that I, too, had missed my home. 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I looked over at the taxi stand and said, "Would you like to share a ride?" "Yes," she said,"but we have to speak French now. You wouldn't want all those lessons to go to waste." We laughed and shared a cab toward Paris. Petra invests $8000 for 4 years she earned $2000 as compound interest find rate of interest what is the function of chromosomesA- regulating the production of specific proteins B- producing energy through metabolismC- transmitting electrical signal through the body D- controlling the rate of cellular division Assume that the sequence of bases in one strand of DNA molecule is a GACTTACGTACC what is the sequence of complementary bases in the other strand of DNA during DNA replication