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2 years ago

14

On a trip, you drove 150.75 miles in 2 hours and 35 minutes. At this rate, how long will it take you to travel 450 miles? Round

your answer to the nearest minute.

1 answer:

AlekseyPX2 years ago

5 0

Answer:

450:155 min

450/150.75=2.98

155 x 2.98=462.69 minutes

=7 hours 43 minutes

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HELP YOUR GIRL OUT PLEASE!!

Blababa [14]

The value of the collection originally was $1,000,000

What was the original value of the collection?

The original value of the collection is not known, hence, it is represented by X

The increase in value by $50,000 means that the value is X+$50,000

Now, when the error was discovered, it is now worth half of the value previously

The new value is (X+$50,000)*0.5

New value=(X+$50,000)*0.5

The new value at this point is $525,000

$525,000=(X+$50,000)*0.5

$525,000/0.5=X+$50,000

$1,050,000=X+$50,000

X=$1,050,000-$50,000

Find out more about change in value on:brainly.com/question/13097163

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1 year ago

Tape travels through a tape player at a speed 0.048 meters per seconds. How long is tape that can play for 30 minutes

Vadim26 [7]

OK So this is how u do this:-

0.048*30=1.44

Hope I helped:D

8 0

2 years ago

If f(x-3)=x^2-4x+5, what's f(1-x)

olganol [36]

Answer:

$\large\boxed{f(1-x)=x^2-4x+5}$

Step-by-step explanation:

$f(x-3)=x^2-4x+5\\\\f((x-3)+3)\to\text{put x + 3 to the equation of the function:}\\\\f(x-3+3)=(x+3)^2-4(x+3)+5\\\text{use the distributive property and}\ (a+b)^2=a^2+2ab+b^2\\f(x)=x^2+2(x)(3)+3^2+(-4)(x)+(-4)(3)+5\\f(x)=x^2+6x+9-4x-12+5\qquad\text{combine like terms}\\f(x)=x^2+(6x-4x)+(9-12+5)\\f(x)=x^2+2x+2\\\\f(1-x)\to\text{put 1 - x to the equation of the funtion f(x):}\\\\f(1-x)=(1-x)^2+2(1-x)+2\\\text{use the distributive property and}\ (a-b)^2=a^2-2ab+b^2$

$f(1-x)=1^2-2(1)(x)+x^2+(2)(1)+(2)(-x)+2\\f(1-x)=1-2x+x^2+2-2x+2\qquad\text{combine like terms}\\f(1-x)=x^2+(-2x-2x)+(1+2+2)\\f(1-x)=x^2-4x+5$

4 0

3 years ago

Suppose that x and y are both differentiable functions of t and are related by the given equation. Use implicit differentiation

stepan [7]

Answer:

Let z = f(x, y) where f(x, y) =0 then the implicit function is

$\frac{dy}{dx} =$ $\frac{-δ f/ δ x }{δ f/δ y }$

Example:- $\frac{dy}{dx} = \frac{-(y+2x)}{(x+2y)}$

Step-by-step explanation:

<u>Partial differentiation</u>:-

Let Z = f(x ,y) be a function of two variables x and y. Then

$\lim_{x \to 0} \frac{f(x+dx,y)-f(x,y)}{dx}$ Exists , is said to be partial derivative or Partial differentiational co-efficient of Z or f(x, y)with respective to x.

It is denoted by δ z / δ x or δ f / δ x

Let Z = f(x ,y) be a function of two variables x and y. Then

$\lim_{x \to 0} \frac{f(x,y+dy)-f(x,y)}{dy}$ Exists , is said to be partial derivative or Partial differentiational co-efficient of Z or f(x, y)with respective to y

It is denoted by δ z / δ y or δ f / δ y

<u>Implicit function</u>:-

Let z = f(x, y) where f(x, y) =0 then the implicit function is

$\frac{dy}{dx} =$ $\frac{-δ f/ δ x }{δ f/δ y }$

The total differential co-efficient

d z = δ z/δ x + $\frac{dy}{dx}$ δ z/δ y

<u>Implicit differentiation process</u>

differentiate both sides of the equation with respective to 'x'

move all d y/dx terms to the left side, and all other terms to the right side

factor out d y / dx from the left side
Solve for d y/dx , by dividing

Example : $x^2 + x y +y^2 =1$

solution:-

differentiate both sides of the equation with respective to 'x'

$2x + x \frac{dy}{dx} + y (1) + 2y\frac{dy}{dx} = 0$

move all d y/dx terms to the left side, and all other terms to the right side

$x \frac{dy}{dx} + 2y\frac{dy}{dx} = - (y+2x)$

Taking common d y/dx

$\frac{dy}{dx} (x+2y) = -(y+2x)$

$\frac{dy}{dx} = \frac{-(y+2x)}{(x+2y)}$

7 0

3 years ago

A group of 8 students was asked, "How many hours did you watch television last week?" Here are their responses:

Ulleksa [173]

Answer:

Median= 14

Mean= 90

Step-by-step explanation:

Median:

Put the numbers in order,

4, 7, 9, 14, 16, 19, 20 Then after that you find the number exactly in the middle. That number ends up to be 14.

Mean:

Add up all of the numbers and then round it to the nearest tenth: 90

Median= 14

Mean= 90

5 0

2 years ago