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3 years ago

-3(4v+1)-3(2v+3) how do you simplify

Mathematics

2 answers:

PolarNik [594]3 years ago

7 0

$-3(4v+1)-3(2v+3) =\\
-12v-3-6v-9=\\
-18v-12$

Shtirlitz [24]3 years ago

4 0

First you have to multiply the numbers out of the paranthesis, with the numbers in it:
$-3(4v+1)-3(2v+3)\\ -3\cdot 4v-3\cdot 1-3\cdot 2v-3\cdot 3$
then solve :
$-12v-3-6v-9\\ -18v-12$

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Solve the following inequality. 3x - 4 > 11

vampirchik [111]

3x - 4 > 11

15 it’s not that hard

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2 years ago

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A person stands 10 meters east of an intersection and watches a car driving towards the intersection from the north at 13 meters

In-s [12.5K]

Answer:

Therefore the rate change of distance between the car and the person at the instant, the car is 24 m from the intersection is 12 m/s.

Step-by-step explanation:

Given that,

A person stand 10 meters east of an intersection and watches a car driving towards the intersection from the north at 13 m/s.

From Pythagorean Theorem,

(The distance between car and person)²= (The distance of the car from intersection)²+ (The distance of the person from intersection)²+

Assume that the distance of the car from the intersection and from the person be x and y at any time t respectively.

∴y²= x²+10²

$\Rightarrow y=\sqrt{x^2+100}$

Differentiating with respect to t

$\frac{dy}{dt}=\frac{1}{2\sqrt{x^2+100}}. 2x\frac{dx}{dt}$

$\Rightarrow \frac{dy}{dt}=\frac{x}{\sqrt{x^2+100}}. \frac{dx}{dt}$

Since the car driving towards the intersection at 13 m/s.

so, $\frac{dx}{dt}=-13$

$\therefore \frac{dy}{dt}=\frac{x}{\sqrt{x^2+100}}.(-13)$

Now

$\therefore \frac{dy}{dt}|_{x=24}=\frac{24}{\sqrt{24^2+100}}.(-13)$

$=\frac{24\times (-13)}{\sqrt{676}}$

$=\frac{24\times (-13)}{26}$

= -12 m/s

Negative sign denotes the distance between the car and the person decrease.

Therefore the rate change of distance between the car and the person at the instant, the car is 24 m from the intersection is 12 m/s.

8 0

3 years ago

Can someone please help

Len [333]

Find volume
v=(1/3)hpir^2
r=60
h=210
pi=3.14 for this questio
v=(1/3)(210)(3.14)(60^2)
v=(1/3)(210)(3.14)(3600)
v=(70)(3.14)(3600)
v=(70)(3.14)(3600)
V=791,280 cm3

rate of 1099 er hour

drained out is zero
amount drained total=volume of cone=1099 times number of hours
lets say number of hours=x
1099x

791,280=1099x
divide both sides by 1099
720=x

answe ris 720 hours

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Answer:

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Step-by-step explanation:

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