Find all numbers c [4,12] for which the derivative is equal to the slope of the secant line connecting the function endpoints. If there is more than one such number c, use a comma to separate your answers. Round to the nearest thousandth. If there is no such number c, type "does not exist" in the entry box.

Find All Numbers C [4,12] For Which The Derivative Is Equal To The Slope Of The Secant Line Connecting

Answers

Answer 1

Answer:

Step-by-step explanation:

[tex]f'(x) =\frac{1}{2\sqrt{x-3}}[/tex]

By MVT, there exist a number c on [4, 12] such that

[tex]f'(c) = \frac{f(12)-f(4)}{12-4}[/tex]

[tex]f(12) = 3, and, f(4) = 1, hence f'(c) = \frac{1}{4}[/tex]

therefore,

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

Solve this equation, you have x =1.

However, this is out of the given interval. Hence does not exist


Related Questions

One of the digits of a two digit number is three times the other digit. If you interchange the digits of this two digit number and add the resulting number to the original number you get 88 . Find the original number

Answers

Answer:

62

Step-by-step explanation:

well, we start by expressing the number:

a b

we understand that using the above expression, the value of the number is 10a + b

using the information in the question,

a = 3b (1)

and,

11b + 11a = 88 (2) (derived using 10a + b form)

hence, when substituting (1) into (2):

11b + 33b = 88

44b = 88

b = 2 (3)

sub (3) into (1)

a = 6

hence, the number is 62

ASAP. please.. need answer. please
sugar is sold at MVR 4 1/2 per kg
find the cost of 10kg sugar.
if you got it correct will mark your answer as brainliest.
please help me. ​

Answers

Answer:

$45.00

Step-by-step explanation:

each kilogram of sugar costs $4.50

we want to find the cost of 10 kg

multiply the cost of 1 kg ($4.50) by 10 kg:

4.50*10=$45.00

The cost of 10 kg is $45.00.

PLEASE HELP ME :(((((

Umar drove his taxi from Ipoh to Kuala Lumpur via the highway. He stopped at Tapah to
pick up some goods before proceeding to Kuala Lumpur. He drove from Ipoh to Tapah at an
average speed of 100 km/h over a distance of 60 km. If the average speed of his taxi from Ipoh
to Kuala Lumpur is 110 km/h over a distance of 220 km, calculate the average speed of Umar's
taxi from Tapah to Kuala Lumpur.

Answers

Answer:

approximately 114.28 km/h

Step-by-step explanation:

Distance = rate * time (d = rt)

The distance from Ipoh to Tapah is 60 km, and the rate is 100 km/h. Therefore, the time it took to drive from Ipoh to Tapah is:

60 = 100t

t = 0.6 hours

The total distance from Ipoh to Kuala Lumpur is 220 km, and the average rate is 110 km.

Therefore, the time it took to drive from Ipoh to Kuala Lumpur is:

220 = 110t

t = 2 hours

So since we know that the time taken to go Ipoh -> Tapah is 0.6 hours and the time taken to go Ipoh -> Tapah -> Kuala Lumpur is 2 hours, the time taken to go Tapah -> Kuala Lumpur must be:

2 - 0.6 = 1.4 hours

And the distance from Tapah to Kuala Lumpur must be:

220 - 60 = 160 km

So the speed driven from Tapah to Kuala Lumpur must be:

160 = r * 1.4

r ≈ 114.28 km/h

Answer:

114.3 km/h

Step-by-step explanation:

We need to find te average speed from Tapah to Kuala Lumpur.

speed = distance/time

We need to find the distance and time from Tapah to Kuala Lumpur.

Ipoh to Tapah:

100 km/h over a distance of 60 km

Ipoh  to Kuala Lumpur:

110 km/h over a distance of 220 km

The total distance is from Ipoh to Kuala Lumpur.

speed = distance/time

distance = speed * time

time = distance/speed

time = 220 km / 110 km/h = 2 hours

Ipoh to Tapah.

time = distance/speed

time = 60 km / 100 km/h = 0.6 hour

Distance & time from Tapah to Kuala Lumpur:

220 km - 60 km = 160 km

2 hours - 0.6 hours = 1.4 hours

average speed from Tapah to Kuala Lumpur:

speed = distance/time = 160 km  /  1.4 hours

speed = 114.3 km/h

13. Distributive Property
3(x - 1) = 3x - ?

Answers

Answer:

[tex]\huge\boxed{3x-3}[/tex]

Step-by-step explanation:

[tex]3(x-1)=\\\\\text{Distribute: }\left \{ {{3*x=3x} \atop {3*-1=-3}} \right.\\\\3(x-1)=\boxed{3x-3}[/tex]

3(x - 1) = 3x - 3

The distributive property is a very important property used in algebra.

It states that when we have the statement a(b + c), we can "distribute" the

a by multiplying a times both terms that are inside the parenthses.

So that would give us a(b) + b(c) or ab + bc.

The same process is done here.

Distribute the 3 through both terms to get 3(x) - 3(1) or 3x - 3.

12-(4) - 1
2

Please helppp!!! :)

Answers

Answer:

17

Step-by-step explanation:

Simplify:

[tex]12\frac{1}{2} = \frac{25}{2}[/tex]  

[tex]-4\frac{1}{2} = \frac{-9}{2}[/tex]

[tex]\frac{25}{2} - (\frac{-9}{2} ) = \frac{25}{2} + \frac{9}{2} = \frac{34}{2} = 17[/tex]

When you have a subtraction sign next to a negative number, the negative number will turn positive since it's understood as -1 multiplied by the number when it's a negative number.  

If two points are given, then exactly one line can be drawn third of these two points. Which geometry term does the statement represent?

Answers

what does this even mean...did

7. Which of the following statements is NOT true? a. All integers are rational numbers. b. Some rational numbers are whole numbers. c. All whole numbers are natural numbers. d. All irrational numbers are real numbers.

Answers

Here, a,c and d are not true because,

a) all integers are not rational numbers because 2/10 is a rational number but not an integer.

c) all whole numbers are not natural numbers because 0 is not a natural number.

d) all irrational numbers are not real numbers because root2 is not a real number.

b) it is true.

Hope it was helpful,

pls mark this as a brainliest answer.

thank you.

^_^

   

Statements (1), (3), and (4) are correct these are NOT true after using the definition of the numbers.

What is the number?

A number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.

As we know,

The integer can be defined as the whole number it can be a negative whole number or a positive whole number for example 2, 4, 1, -8, 0, etc.

It is defined as the numbers in all real numbers which cannot be represented as rational numbers, in other words, the irrational number cannot be expressed in the form of p/q form.

A rational number is a sort of real number that has the form p/q and does not equal zero.

Thus, statements (1), (3), and (4) are correct these are NOT true after using the definition of the numbers.

Learn more about the number here:

brainly.com/question/17429689

#SPJ2

PLEASE HELP!!!
Find the measure of c. A. 100 B. 10 C. 140 D. 280

Answers

Answer:

C. 140

Step-by-step explanation:

C = 1/2 ( 360° - 80°)

c = 1/2 * 280°

c = 140°

The Y is the diameter

Find Y

Area of the circle ​

Answers

Answer:

Y = 22.56 cm

Step-by-step explanation:

To find the diameter Y of the circle we must first find the radius of the circle

Area of a circle = πr²

where

r is the radius

From the question

Area = 400cm²

Substitute the value into the above formula and solve for the radius

That's

400 = πr²

Divide both sides by π

We have

[tex] {r}^{2} = \frac{400}{\pi} [/tex]

Find the square root of both sides

[tex]r = \sqrt{ \frac{400}{\pi} } [/tex]

radius = 11.28 cm

Since we have the radius we can use it to find the diameter Y using the formula

diameter = radius × 2

radius = 11.28

Y = 11. 28 × 2

We have the final answer as

Y = 22.56 cm

Hope this helps you

A company's division registered a loss of (-$12,480) while producing 80 identical parts.
What was the loss per part?

Answers

Answer:

loss per part is  $(-156).

Step-by-step explanation:

Given total loss = $(-$12,480)

no of identical parts produced = 80

let the loss per part be x

then, total loss for 80 parts = 80* loss per part  = 80x

given that total loss = $(-$12,480)

80x =  $(-$12,480)

x =  $(-$12,480) /80 = $(-156)

Thus, loss per part is  $(-156).

Here negative sign implies that it is a loss.

Can someone please help me with this question ASAP...

Answers

Answer:

A = 1.11

n = - 6

Step-by-step explanation:

[tex] \frac{0,0001\times 1,11}{0,1\times 10^4} = A \times 10^n\\\\

\frac{1\times 1,11}{1\times 10^4} = A \times 10^n\\\\

\frac{1,11}{10^4} = A \times 10^n\\\\

{1,11\times 10^{-4} } = A \times 10^n\\\\

{1.11\times 10^{-6} } = A \times 10^n\\\\[/tex]

Equating like terms on both sides :

A = 1.11

n = - 6

A can takes 20 minutes to cover a distance of
15 km calcolate its speed in km/hr​

Answers

1 hour = 60 minutes.

20 minutes / 60 minutes = 1/3 of an hour.

20 minutes x 3 = 60 minutes = 1 hour

15 km in 20 minutes x 3 = 45 km per hour

Speed = 45 km/hr.

Answer:

[tex]\huge\boxed{v = 45\ km/hr}[/tex]

Step-by-step explanation:

Given:

Time = t = 20 mins = 20/60 = 0.33 hrs

Distance = S = 15 km

Required:

Speed = v = ?

Formula:

v = S/t

Solution:

v = 15 / 0.33

v = 45 km/hr

This is my homework and the last question confuses me,it's a simple sequence but I don't understand, could anybody help me out?

Answers

Answer:

already in order

Step-by-step explanation:

.00001, .0002, .003, .04, .5

Answer:

1^-5=1 2^-4 =6 3^-3=9 4^-2=8 5^-1=5

Step-by-step explanation:

All u have to do is focus on the negative sign!

8 mph above the speed limit. -8 8+8 8 8-8

Answers

Answer:

Below

Step-by-step explanation:

Hey there!

Well, 8 mph over the speed limit is speeding because you can only go 5 above.

If the speed limit is 40 it's okay to go 45 but bot 48.

Hope this helps :)

Uma barraca de tiro ao alvo de um parque de diversão dará um prêmio de r$ 20ao participante cada vez que ele acertar o alvo por outro lado cada vez que ele errar o alvo da deverápagar r$ 10 não há cobrança inicial para participar do jogo um participante deu 80 tiros e ao final recebeu r$ 100 qual foi o número de vezes que esse participante acertou o alvo

Answers

Resposta: 30

Explicação passo a passo:

Dado o seguinte:

Preço para atingir a meta = $ 20

Penalidade por falta de alvo = $ 10

Se 80 tiros forem disparados e os participantes receberem $ 100.

Número de vezes que o participante atinge o alvo.

Deixe o número de erros = m

Deixe o número de acertos = h

h + m = 80 - - - - (1)

20h - 10m = 100 - - - (2)

h = 80 - m

Substitua h = 80 - m em (2)

20 (80 - m) - 10m = 100

1600 - 20m - 10m = 100

-30m = 100 - 1600

-30m = - 1500

m = 50

De (h = 80 - m)

h = 80 - 50

h = 30

Número de acertos = 30

O participante acerta o alvo 30 vezes

If the lines A and B are parallel then find the value of x

Answers

Answer:

Step-by-step explanation:

mark the wheat and rice product in areas in the map of India
PLS MAKE AND SHOW ON THE MAP
I will definitely mark you brainliest​

Answers

Answer:

uttar pradesh

Step-by-step explanation:

see map

Answer:

S.No. State/ UT Wheat (Th. tonnes)

1 Uttar Pradesh    26,874

2 Madhya Pradesh    17,689

3 Punjab                 16,081

4 Haryana                 11,352

5 Rajasthan         9,871

6 Bihar                 4,753

7 Gujarat                 2,484

8 West Bengal         960

9 Uttarakhand         761

10 Maharashtra         758

Step-by-step explanation:

Refer this link for map!

HOPE IT HELPS AND THANK ME BY MARKING AS BRAINLIEST!

The cost to download music from an Internet site is shown.

According to the information in the table, which equation describes the relationship between the number of songs downloaded and the cost to download?

A. c = 1.5n
B. c = 1.5n + 25
C. c = 7.75n
D. c = 7.75n + 25

Answers

Answer:

Option (B)

Step-by-step explanation:

If we graph the points given in the table, a straight line is obtained which shows that the table given represents a linear function.

Let the two points on the graph are (4, 31) and (8, 37)

Slope of the line passing through these points,

m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

   = [tex]\frac{37-31}{8-4}[/tex]

   = 1.5

Equation of the line passing through a point (4, 31) and slope = 1.5 will be,

y - y' = m(x - x')

y - 31 = 1.5(x - 4)

y = 1.5x - 6 + 31

y = 1.5x + 25

Therefore, Option (B) will be the answer.

A chord subtends an angle 120° at the centre of the circle of radius 3.5cm. Find the perimeter of the minor sector.[r=22/7]​

Answers

Answer:

Step-by-step explanation:as we know that arc length is

s=r*∅

as given angle in degree so  convert it in radian we get

angle=2.09 rad

r=3.5 cm

hence we get

s=3.5*2.09 =7.315 cm

perimeter of sector = s +d  where d=2*r=2*3.5=7 cm

perimeter of sector=7.315+7=14.315 cm

if you like it then hit the stars and tag it a brain-list

Simplify the following expression:
-6x + 4(-x - 3)

Answers

Answer:

[tex] - 10x - 12[/tex]

Step-by-step explanation:

[tex] - 6x + 4( - x - 3) \\ - 6x - 4x - 12 \\ - 10x - 12 \\ = - 2(5x + 6)[/tex]

the two legs of a right triangle are 33 and 56. The missing hypotenuse length is ?

Answers

Answer:

65

Step-by-step explanation:

a^2+b^2=c^2

33=a, 56=b

Put them into the equation, then do the algebra and solve it for c.

Answer:

65

Step-by-step explanation:

33²+56²=c²

1089+3136=c²

4225=c²

c=√4225

c=65

find the distance between (-3,-5) (4,8)

Answers

Answer:

14.765 units

Step-by-step explanation:

distance formula

d = √[(x₂ - x₁)² + (y₂ - y₁)²]

d = √[(4 + 3)² + (8 + 5)²]

d = √(7²) + (13²)

d = √(49 + 169)

d = √218

d = 14.765

-12 divided by 3 times (-8 + (-4) squared -6) +2 please help

Answers

Answer:

Step-by-step explanation:

[tex]\frac{-12}{3} (-8+(-4)^{2} -6)+2[/tex]

-4(-8+16-6)+2

-4(2)+2

-8+2

-6

A rice cooker costs $3m. A kettle is $35 cheaper. Find the cost of the kettle.
(Give your answer in terms of m.)
Pls answer

Answers

Answer:

2,999,875

Step-by-step explanation:

3,000,000m -35=2,999,875

$3,000,000 - $35
=$2,999,965
=$2.999965m

Please answer this quick

Answers

Answer:

x = 18

∠A = 83

Step-by-step explanation:

Since you have a line intersecting two parallel lines, the angles formed from the intersection will be equal to 180.  This means that you can add up the two angle measures and set them equal to 180.

(6x - 35) + (3x + 53) = 180

6x - 35 + 3x + 53 = 180

9x + 18 = 180

(9x + 18) - 18 = 180 - 18

9x = 162

x = 18

Now to solve for ∠A, plug in the x-value and solve.

∠A = 6x - 35

∠A = 6(18) - 35

∠A = 118 - 35

∠A = 83

1
Marty saws off
of a wooden board. Then, he saws off
Alu
of what is left of the board. Finally,
1
he saws
off of this remaining piece of board. What fraction of the original board is left?

Answers

Answer:

Fraction of the original board left = [tex]\frac{2}{15}[/tex]

Step-by-step explanation:

Let the length of the board is = l feet

Marty saws off [tex]\frac{1}{5}[/tex] of a wooden board.

Length of the board left = l - [tex](\frac{1}{5})l[/tex]

                                        = [tex](\frac{4}{5})l[/tex] feet

He saws off [tex]\frac{3}{4}th[/tex] of the remaining board,

Board left = [tex](\frac{4}{5})l-[(\frac{4}{5})l\times (\frac{3}{4})][/tex]

                = [tex]\frac{4}{5}l-\frac{3}{5}l[/tex]

                = [tex]\frac{1}{5}l[/tex] feet

He finally saws off [tex]\frac{1}{3}[/tex]rd of the remaining board.

Board left = [tex]\frac{1}{5}l-[\frac{1}{5}\times \frac{1}{3}]l[/tex]

                = [tex](\frac{1}{5}-\frac{1}{15})l[/tex]

                = [tex]\frac{2}{15}l[/tex] feet

Fraction of the original board left = [tex]\frac{\frac{2}{15}l}{l}[/tex]

                                                       = [tex]\frac{2}{15}[/tex]

Is 6837 cm less than, greater than or equal to 68hm

Answers

Answer:

6837 cm is less than 68 hm

Step-by-step explanation:

1 hectometres  = 100 meters

1 centimetres = 0.01 meters

Therefore;

6837 centimetres = 6837 × 0.01 meters = 68.37 meter

6837 centimetres = 68.37 meter

Also, we have;

68 hectometres  = 68 × 100 meters = 6800 meters

68 hectometres  = 6800 meters

Therefore,

6837 centimetres = 68.37 meter < 68 hectometres  = 6800 meters

6837 centimetres < 68 hectometres  

6837 cm < 68 hm

6837 cm is less than 68 hm.

(70) Find the volume. Don't forget your label.

Answers

Answer: If the lengths are 3 1/2, 2, and 4 2/3, the volume is 32 2/3

Step-by-step explanation:

3 1/2 * 2 * 4 2/3 = 32 2/3.

c. The cost price of 12 bananas is equal to the SP of 15 bananas.Find loss or gain percent.​

Answers

Answer:

20% loss.

Step-by-step explanation:

Suppose the cost of each banana is $1

Then cost of 12 = $12.

You sell 15 bananas for  $12, therefore the price of each banana is 12/15

= $0.80.

So the loss percent is  (1 - 0.80) * 100

= 20%.

What is the square root of 5

Answers

Hey There!

Answer:

2.23

Step-by-step explanation:

[tex]\sqrt{x} 5[/tex]= 2.23The square root of 5 is 2.23

Hope this helps!!

Have a nice day!!:)

       [✖‿X]

Answer:

Hey!

The square root of 5 is precisely 2.23606797749979

If you want to round it up...

(1.d.p) -- 2.2

(2.d.p) -- 2.24

(3.d.p) -- 2.236

I HOPE THIS HELPED YOU!

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