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3 years ago

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1 answer:

lianna [129]3 years ago

8 0

Answer:

13 1/3 cups of sugar

Step-by-step explanation:

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On the Venn diagram, which region(s) represent the intersection of Set A and Set B (A∩B)?

pochemuha

Answer:

the middle. because it'sthe intersection of the circles

4 0

3 years ago

Read 2 more answers

Find the velocity and position vectors of a particle that has the given acceleration and the given initial velocity and position

stira [4]

Answer:

$v(t) = (2t+1) \mathbb{i} +3t^2 \mathbb{j} +4t^3 \mathbb{k}$

$r(t) = (t^2+t) \mathbb{i} +(t^3+2) \mathbb{j} +(t^4 - 3) \mathbb{k}$

Step-by-step explanation:

The velocity vector is the integral of the acceleration vector i.e.

$v(t) = \int a(t) dt$

$v(t) = \int (2 \mathbb{i}+6t \mathbb{j} 12t^2 \mathbb{k}) dt$

$v(t) = 2t \mathbb{i}+3t^2 \mathbb{j} 4t^3 \mathbb{k} + C_1$

When $t=0$ , $v(0) = \mathbb{i}$ . Inserting these values in $v(t)$ ,

$C_1= \mathbb{i}$

$v(t) = 2t \mathbb{i}+3t^2 \mathbb{j} 4t^3 \mathbb{k} + \mathbb{i}$

$v(t) = (2t+1) \mathbb{i}+3t^2 \mathbb{j} 4t^3 \mathbb{k}$

The position vector is the integral of the velocity vector i.e.

$r(t) = \int v(t) dt$

$r(t) = \int ((2t+1) \mathbb{i}+3t^2 \mathbb{j} 4t^3 \mathbb{k}) dt$

$r(t) = (t^2+t) \mathbb{i}+t^3 \mathbb{j} t^4 \mathbb{k} + C_2$

When $t=0$ , $r(t) =2\mathbb{j}-3\mathbb{k}$ . Inserting these values in $r(t)$ ,

$C_2=2\mathbb{j}-3\mathbb{k}$

$r(t)= (t^2+t) \mathbb{i}+t^3 \mathbb{j}+ t^4 \mathbb{k} + 2\mathbb{j}-3\mathbb{k}$

$r(t) = (t^2+t) \mathbb{i}+(t^3+2) \mathbb{j}+ (t^4-3) \mathbb{k}$

5 0

4 years ago

Find the value of X.

PilotLPTM [1.2K]

As the complete angle is right angle that is 90°

So both the angles should add up to 90°

(3x+2) + (x+16)=90

combine the like terms

4x+18 = 90

Subtract 18 from both sides

4x= 72

divide both sides by 4

x=18

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4 years ago

-1/3x-2/3y=5/3 the slope and y intercept

Masja [62]

The slope is -½, and the y intercept would be (0, -5/2)

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3 years ago

The table shows the number of yards a football player runs in each quarter of a game. Find the mean number of yards the player r

Art [367]

Show the pic of the table

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4 years ago