A loaded moving truck is traveling 25 mph faster than a freight train. In the time it takes the train to travel 90 miles, the truck travels 140 miles. Find the speed of the truck.

Answer:

Stationary points are (0, 5) and (4/3, 103/27)

Step-by-step explanation:

At stationary point (turning point), dy/dx :

[tex]y = {x}^{3} - 2 {x}^{2} + 5 \\ \frac{dy}{dx} = 3 {x}^{2} - 4x \\ \\ \frac{dy}{dx} = x(3x - 4)[/tex]

but dy/dx = 0:

[tex]x(3x - 4) = 0 \\ either \: x \: is \: 0 \: and \: (3x - 4) = 0 \\ x = 0 \\ and \\ 3x - 4 = 0 \\ x = \frac{4}{3} [/tex]

let y = x³ - 2x² + 5:

[tex]when \: x \: is \: 0 \\ y = 5 \\ when \: x \: is \: \frac{4}{3} \\ \\ y = {( \frac{4}{3}) }^{3} - 2 {( \frac{4}{3} )}^{2} + 5 \\ \\ y = \frac{103}{27} [/tex]

Answer:

Solution given

5(1+s)=9s+6

distribute

5+5s=9s+6

subtract both side by 5s

5+5s-5s=9s-5s+6

solve like terms

5=4s+6

subtract both side by 6

5-6=4s+6-6

-1=4s

divide both side by 4

-1/4=s

Answer:

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

[tex]s=-0.25[/tex]

Step-by-step explanation:

[tex]5\left(1+s\right)=9s+6[/tex]

Apply distributive law:-

[tex]5\left(1+s\right)[/tex]

[tex]=5+5s[/tex]

[tex]5+5s=9s+6[/tex]

Now, Subtract 5 from both sides :-

[tex]5+5s-5=9s+6-5[/tex]

[tex]5s=9s+1[/tex]

Subtract 9s from both sides:-

[tex]5s-9s=9s+1-9s[/tex]

[tex]-4s=1[/tex]

Divide both sides by -4:-

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

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

OAmalOHopeO

Answer:

t = 2

Step-by-step explanation:

8-3t=t

add 3t to both sides

8=4t

then divide both sides by 4 leaving you with

t=2

Answer:

99

Step-by-step explanation:

9x5 + 7X6 + 3X4 + 2X6

Answer:

y = 2(x + 3)² - 4

Step-by-step explanation:

y = 2x² + 1 2x + 14

Move the constant  (14) to the left side

y - 14 = 2x² + 12x

Now factor out 'a' , the coefficient  of  x² term

y - 14= 2(x² + 6x)

Divide the coefficient  of 'x' by 2 ⇒ 6/2 = 3

Find the square of '3' and add it to x² + 6x   ⇒ x² + 6x + 9

Multiply the square of 3 and add it to y - 14; 9*2 = 18

y- 14  = 2(x² + 6x + 9)

y  - 14 + 18 = 2(x² + 6x + 9)

y + 4 = 2(x² + 6x +9)

y + 4 = 2(x + 3)²

y = 2(x + 3)² - 4

Vertex ( -3 , -4)

Answer:

10

Step-by-step explanation:

We'll first write in point-slope form:

y - y1 = m(x - x1)

where (x1, y1) is our point and m is our slope.

Then convert into slope-intercept form to make it easier to find the y-intercept.

y - (-6) = -4(x-4)

y + 6 = -4(x-4)

y + 6 = -4x + 16

y = -4x + 10

Now that we've put the equation in slope-intercept form, we see that our b-value

y = mx + b

b = 10, so our y-intercept is 10

Answer:

6 is a natural, whole and integer

Step-by-step explanation:

16 is a natural, whole and integer

it is not rational or irrational because

rational numbers are written in p/q as well as irrational

natural numbers start from 1 till infinite

whole numbers start from 0 to infinite

integers include all the positive and negative numbers

Answer:

rational

Step-by-step explanation:

Answer:

5400

Step-by-step explanation:

so 90% of 850 is 765 (0.90x850)

765 is 10 years

so 1 year is 765/10 = 76.5 per year. So 76.5x59 = 4,513.5 add the initial ammount and you got 5,363.5 in the nearest hundredth you get 5400

Answer:

171997.69

Step-by-step explanation:

See photo for explanation

there :))) check out image I could attach one image...sorry

Answer:

soln

Step-by-step explanation:

a=7

b=-2

5a-3b

5×7-3×-2

35+6(because - and - becomes+

41ans

Answer:

5a-3b

5×7-3×-2

35-6

29

I think soo

Ramesh took a loan of rs 50000 from Urmila at the rate of 10%p.a. if he paid half of the principal and all the interest at the end of 3 years

P= 80000

R = 10% '

1st-year amount = 88000

10% compounded annually

If you pay the loan of  55000 at the end of year 2, constant payment from year 1 After that, I paid 110% of the balance. C. I have always calculated in terms of the previous year's amounts

= \frac{55000}{110} \times 100 = 50000

So after the first year, a certain amount is paid, and the remaining amount is will be 50000.

So a certain amount to be paid in 1 year = 88000 -50000 = 38000

A loan is a type of debt owed by an individual or other legal entity. A lender (usually a corporation, financial institution, or government) makes an advance payment to a borrower. In return, the borrower agrees to certain terms, including financing costs, interest, repayment dates, and other terms.

A loan is an amount of money borrowed from a bank or other financial institution by one or more individuals or businesses to finance planned or unscheduled events. A borrower takes out a loan that must be repaid with interest within a certain period of time. May 6, 2022

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Answer:

How long will it take to hear the rumbling of a volcano located 58km away?

Step-by-step explanation:

Answer:

0.065km

Step-by-step explanation:

1:1000 in cm

so in km its

cm:km

1:0.01

6.5:X

so its 0.065 km

hope it helps and correct

keep loving maths

Answer:

option c

Step-by-step explanation:

explaination is in pic below

Answer:

16 is rational , interger , Whole.

Answer:

18245

Step-by-step explanation:

We have to use L.C.M,

L.C.M(20,24,32,38)

2|20,24,32,38

2| 10 ,12 ,16 ,19

2| 5 , 6 , 8 , 19

2| 5 , 3 , 4 , 19

2| 5 , 3 , 2 , 19

L.C.M = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 3 x 19

          = 18240

Now for each case remainder is 5,

So the number is 18240+5

=> 18245

Answer:

If the exponent is 0 the answer is 224/y^2

Step-by-step explanation:

Answer:

The question is incorrect as it lacks the "x" component. Function f(x) cannot be stated without the x, elseways it couldn't be called "f(x)"

Answer:

Step-by-step explanation:

Well in London The time is like 12 and stops there it don't go to 13:00 like New York does so basically I'm saying London as a regular time and New York has the Military Time!

Answer:

20

Step-by-step explanation:

pq + 4

Given:

p = 4

q = 4

We plug the numbers in:

pq + 4

4(4) + 4

16 + 4

20

The answer you are looking for is 20.

Since p=4 and q=4,

Therefore,

pq+4

Substitute each of the given values of the variables,

(4)(4)+4

16+4

20

Answer:

965.31sq.km

Step-by-step explanation:

Area of the triangle = 1/2 xy sina

a=52° , x=49 , y=50

area of triangle= 1/2 * 49 *50 *sin52°

area= 965.31 sq.km

Step-by-step explanation:

SEE THE IMAGE FOR SOLUTION

HOPE IT HELPS

HAVE A GREAT DAY

Answer:  I don’t see anything

Step-by-step explanation:

Answer:

STEP ONE: Get a common denominator.

STEP TWO: Add or subtract the numerators.

STEP THREE: Simplify the result if needed.

And that's all there is to it! Final Answer

Answer:

By doing it normally as in arithmetic rule

Step-by-step explanation:

For starter see the following 2 numbers

334, 53

let add them and substract them in arithmetic way

334

+53

------

387

and

334

-53

------

281

here from right to left we add a single number and write it under the line, if the sum is above 1 decimal value the value upto 1 decimal from the very right of that number is written , for example in case of 9+8 that would be 17 so we would write 7 and carry 1, and the oposite of that for subtraction

Just in the same way lets consider the following example

1.23

+0.93

--------

2.16

and

1.23

-0.93

---------

0.30

Add followup question if needed

Answer:

[tex]thank \: you[/tex]

Answer:

5k 1/2

Step-by-step explanation:

here you go!!!!!!!!!!!!!!

Step-by-step explanation:

SEE THE IMAGE FOR SOLUTION

HOPE IT HELPS

HAVE A GREAT DAY

Answer:

you are totally correct

Answer:

50cm, 99cm, 145cm

Step-by-step explanation:

The perimeter is just the distance around the triangle. We have all three sides.

So

(x+2) + (2x + 3) + (3x + 1) = 294

Combine like terms

6x + 6 = 294

Subtract 6 on both sides

6x = 288

Divide 6 on both sides

x = 48

So the sides are

x + 2 = 48 + 2 = 50 cm

2x + 3 = 2(48) + 3 = 96 + 3 = 99 cm

3x + 1 = 3(48) + 1  = 145 cm

Checking, first:

50 + 99 + 145 = 194 cm

Plug in x = 48 to the original equation.

48 + 2 + 2(48) + 3 + 3(48) + 1 = 294

48 + 2 + 96 + 3 + 144 + 1 = 294

294 = 294

The lengths of the sides of the triangle are 50 m, 99 m, and 125 m.

The perimeter of a triangle is defined as the addition of the lengths of the triangle's three sides.

The sides of triangle are x + 2, 2x + 3, and 3x + 1.

Given that the perimeter of a triangle is 294 cm

Since the perimeter of a triangle is the addition of the lengths of the triangle's three sides.

So the perimeter of a triangle = sum of all sides

⇒ x + 2 + 2x + 3 + 3x + 1 = 294

⇒ 6x = 294 - 6

⇒ x = 288/6

⇒ x = 48

So the length of the first side = 2+48 = 50

So the length of the second side = 2(48 ) +3 = 99

So the length of the second side = 3(48) + 1 = 125

Thus, the lengths of the sides of the triangle are 50 m, 99 m, and 125 m.

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Answer:

To solve you would need the exact number of all colored marbles