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3 years ago

11

Kelsey can buy 2 pounds of apples for 7 dollars

2 answers:

Thepotemich [5.8K]3 years ago

6 0

Answer:

each pound cost 3.5 dollars

Step-by-step explanation:

7/2

Tema [17]3 years ago

3 0

Answer: each pound is 3.50 dollars

Step-by-step explanation: 7.00 divided by 2 is 3.50 dollars

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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 $r(t)$ ,

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

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

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

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4 years ago

Which number line represents the solution set for the inequality 4(x + 3) 5 2 2X?

tatuchka [14]

Answer:

-2

Step-by-step explanation:

6 0

3 years ago

Write the standard form of the equation of the line passing through the point (-4,1) and perpendicular to the line

notka56 [123]

Answer:

all work is shown/pictured

5 0

3 years ago

Maria lives 98 miles away from her grandparents. She wants to be at her grandparents’ house by 3:00 pm. If she leaves her house

hammer [34]

Answer:

b

Step-by-step explanation:

b

6 0

3 years ago

Read 2 more answers

There are 324 students in Jefferson middle school. 5/12 of the students are 7th graders. 1/4 of the students are 9th graders. Th

Greeley [361]

Answer:

They are 108 8th graders at Jefferson Middle School

Step-by-step explanation:

324 x 5/12 = 135 7th graders

324 x 3/12 = 81 9th graders

324 x 4/12 = 108 8th graders

3 0

3 years ago