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3 years ago

Two trains leave stations

Mathematics

2 answers:

gavmur [86]3 years ago

7 0

Roughly one and a half hours in

Nat2105 [25]3 years ago

4 0

About 1 and a half hours

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What is the factored form of this expression 4x^2 -12x+9

Anon25 [30]

Answer:

(2x - 3) ^2

Step-by-step explanation:

Factor using the perfect square rule.

7 0

3 years ago

The slope f′(x) at each point (x,y) on a curve y=f(x) is given, along with a point (a,b) on the curve. Use this information to f

Montano1993 [528]

$f'(x)=\dfrac{4x}{1+7x^2}$

Integrating gives

$f(x)=\displaystyle\int\frac{4x}{1+7x^2}\,\mathrm dx$

To compute the integral, substitute $u=1+7x^2$ , so that $\frac27\,\mathrm du=4x\,\mathrm dx$ . Then

$f(x)=\displaystyle\frac27\int\frac{\mathrm du}u=\frac27\ln|u|+C$

Since $u=1+7x^2>0$ for all $x$ , we can drop the absolute value, so we end up with

$f(x)=\dfrac27\ln(1+7x^2)+C$

Given that $f(0)=10$ , we have

$10=\dfrac27\ln1+C\implies C=10$

so that

$\boxed{f(x)=\dfrac27\ln(1+7x^2)+10}$

7 0

3 years ago

PLEASE HELP ME WITH Q 1. a) b)

diamong [38]

A calculate the bounce height for each and work out the total

b do it again and use a stopwatch and calulate. Hope this helped

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3 years ago

the weight of an empty pickup truck is 2.1 times the weight of an empty empty car weighs 1.8 tons how many tons does a pickup we

ella [17]

4.28 is the answer I think ._.

8 0

3 years ago

Carlos wants to practice piano 2 hours each day. He practices piano for 3/4 hour before school and 7/10 hour when he gets home.

CaHeK987 [17]

Answer:

Carlos has practiced piano for $\frac{29}{20}=1\frac{9}{20}$ hours.

Carlos needs to practice $\frac{11}{20}$ hours.

Step-by-step explanation:

We have been given that Carlos wants to practice piano 2 hours each day. He practices piano for 3/4 hour before school and 7/10 hour when he gets home.

First of all, we will find piano practiced before school and after school by adding both amounts as:

$\frac{3}{4}+\frac{7}{10}$

Make a common denominator:

$\frac{3*5}{4*5}+\frac{7*2}{10*2}$

$\frac{15}{20}+\frac{14}{20}$

Add numerators:

$\frac{15+14}{20}$

$\frac{29}{20}$

Therefore, Carlos has practiced piano for $\frac{29}{20}$ hours.

Now, we will subtract $\frac{29}{20}$ from 2 find number of hours Carlos needs to practice to reach his goal.

$2-\frac{29}{20}$

$\frac{2*20}{20}-\frac{29}{20}$

$\frac{40}{20}-\frac{29}{20}$

$\frac{40-29}{20}$

$\frac{11}{20}$

Therefore, Carlos needs to practice $\frac{11}{20}$ hours before going to bed in order to meet his goal.

7 0

3 years ago