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kobusy [5.1K]
2 years ago
5

A smart-phone is thrown upwards from the top of a 384-foot building with an initial velocity of 32 feet per

Mathematics
1 answer:
Anna007 [38]2 years ago
5 0

Answer:

When t = 4

Step-by-step explanation:

The phone will hit the ground when h = 0.

16t^2 + 32t + 384 =0 \\ \\ t^2 + 2t + 24=0 \\ \\ (t+6)(t-4)=0 \\ \\ t=-6, 4

However, as time cannot be negative, we know the answer is when t = 4.

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Use the distributive property to solve the equation 4x/5-x=x/10-9/2
Oksana_A [137]

Answer:

\Huge\boxed {x = 15}

Step-by-step explanation:

⟾Collect like terms

  • 8x - 10x = x - 45

⟾Move the variable to the left

  • - 2x = x - 45

⟾Collect like terms again

  • - 2x - x = - 45

⟾Divide both sides by -3

  • - 3x = - 45

⟾ x = 45 ÷ 3

  • x = 15.

Hope it's helps you

4 0
3 years ago
The dwarf seahorse hippocampus zosterae swims at a rate of 52.68 feet per hour.convert this speed to ines per minute
DaniilM [7]

<h3>52.68 feet per hour = 10.536 inches per minutes</h3>

<h3>Further explanation</h3>

Acceleration is rate of change of velocity.

\large {\boxed {a = \frac{v - u}{t} } }

\large {\boxed {d = \frac{v + u}{2}~t } }

<em>a = acceleration ( m/s² )</em>

<em>v = final velocity ( m/s )</em>

<em>u = initial velocity ( m/s )</em>

<em>t = time taken ( s )</em>

<em>d = distance ( m )</em>

Let us now tackle the problem !

1 ~ foot = 30.48 ~ cm

1 ~ inch = 2.54 ~ cm

1 ~ foot = 12 ~ inches

\boxed {52.68 ~ feet = 52.68 \times 12 ~ inches = 632.16 ~ inches}

1 ~ day = 24 ~ hours

\boxed {1 ~ hour = 60 ~ minutes}

If the dwarf seahorse hippocampus zosterae swims at a rate of 52.68 feet per hour , then :

52.68 ~ feet/h = \frac{52.68 ~ feet}{1 ~ hour}

52.68 ~ feet/h = \frac{52.68 \times 12 ~ inches}{60 ~ minutes}

52.68 ~ feet/h = \frac{632.16 ~ inches}{60 ~ minutes}

\large {\boxed {52.68 ~ feet/h = 10.536 ~ inches/min} }

<h3>Learn more</h3>
  • Velocity of Runner : brainly.com/question/3813437
  • Kinetic Energy : brainly.com/question/692781
  • Acceleration : brainly.com/question/2283922
  • The Speed of Car : brainly.com/question/568302

<h3>Answer details</h3>

Grade: High School

Subject: Physics

Chapter: Kinematics

Keywords: Velocity , Driver , Car , Deceleration , Acceleration , Obstacle , Speed , Time , Rate

3 0
3 years ago
Please help me with this homework
Nady [450]

Answer:

Rational

Step-by-step explanation:

The number comes to a stop (doesn't keep going), so it would be rational.

7 0
3 years ago
Read 2 more answers
Find the integer that makes this subtraction statement true -3 - ? = -5
Elenna [48]

Answer:

\boxed{ \bold{ \huge{ \boxed{ \sf{2}}}}}

Step-by-step explanation:

Let the missing integer be x

Solve for x

\sf{ - 3 - x =  - 5}

Move 3 to right hand side and change it's sign

\dashrightarrow{ \sf{ - x =  - 5 + 3}}

The negative and positive integers are always subtracted but posses the sign of the bigger integer

\dashrightarrow{ \sf{ - x =  - 2}}

Change the signs of both sides

\dashrightarrow{ \boxed{ \sf{x = 2}}}

Hope I helped!

Best regards! :D

7 0
3 years ago
Use the divergence theorem to find the outward flux of the vector field F(xyz)= 4x^2 i + 4y^2 j + 3z^2 k across the boundary of
Pavel [41]

\vec F(x,y,z)=4x^2\,\vec\imath+4y^2\,\vec\jmath+3z^2\,\vec k\implies\nabla\cdot\vec F=8x+8y+6z

Let S be the surface of the rectangular prism bounded by the planes x=0, x=a, y=0, y=b, z=0, and z=c. By the divergence theorem, the integral of \vec F over S is given by the integral of \nabla\cdot\vec F over the interior of S (call it R):

\displaystyle\iint_S\vec F\cdot\mathrm d\vec S=\iiint_R(\nabla\cdot\vec F)\,\mathrm dV

=\displaystyle\int_0^c\int_0^b\int_0^a(8x+8y+6z)\,\mathrm dx\,\mathrm dy\,\mathrm dz=\boxed{abc(4a+4b+3c)}

5 0
3 years ago
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