1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
mihalych1998 [28]
3 years ago
7

A worker is being raised in a bucket lift at a constant speed of 3 ft/s. When the worker's arms are 10 ft off the ground, her co

worker throws a measuring tape toward her. The measuring tape is thrown from a height of 6 ft with an initial vertical velocity of 15 ft/s. Projectile motion formula: h = -16t2 + vt + h0 t = time, in seconds, since the measuring tape was thrown h = height, in feet, above the ground Which system models this situation? h = 3t+10 and h = -16t2+15t+6 10t+3 and h = -16t2+6t+15 -16t2+3t + 10 and h =-16t2+15t+6 -16t2+10t + 3 and h = -16t2+6t+15

Mathematics
2 answers:
sweet [91]3 years ago
7 0
H=3t+10 and h=-16t+15t+6

They will never be at the same height at the same time
weqwewe [10]3 years ago
5 0

Answer:

The option 1 is correct.

Step-by-step explanation:

It is given that the worker is being raised in a bucket lift at a constant speed of 3 ft/s. When the worker's arms are 10 ft off the ground, her coworker throws a measuring tape toward her.

h=a+bt

Where a is initial height from the ground and b is rate of change in the height of workers hand from the ground.

h=10+3t

The measuring tape is thrown from a height of 6 ft with an initial vertical velocity of 15 ft/s. Projectile motion formula,

h=-16t^2+vt+h_0  ..... (1)

Where v is the velocity and h_0 is the initial height. The height of measuring tape is defined by the equation.

h=-16t^2+15t+6       .... (2)

Therefore the system of equation contains equation (1) and (2).

From the figure we can say that the height is not same for any value of t because the graph does not intersect each other. So we can say that the worker is not able to catch the measuring tape.

You might be interested in
A polynomial function has -5+√3t as a root. Which of the following must also be a root of the function? a) -5-√3t b) -5+√3t c) 5
juin [17]

Answer:

a

Step-by-step explanation:

Radical roots occur as conjugate pairs

Given - 5 + \sqrt{3} t is a root , then

- 5 - \sqrt{3} t is also a root → a

4 0
3 years ago
What is the volume of the cube below? <br> A. 16x^2 <br> B. 4x^2 <br> C. 4x <br> D. 16
bezimeni [28]

Answer:

B. 4x^2

Step-by-step explanation:

Volume of the cube

= 4 \times x \times x \\  \\  = 4 {x}^{2}

8 0
3 years ago
Read 2 more answers
What is 3n² = 243<br><br> I NEED THIS ANSWER QUICKLY!!!!
viva [34]

Answer:

n=9

Step-by-step explanation:

You use reverse PEMDAS.

First you would divide by 3 on both sides. This should give you:

n²=81

Then you would find \sqrt{81}. Which is 9.

8 0
2 years ago
A rectangle box with a square base and no top needs to be made using 300ft^2 of material. Find the dimensions of the box with th
Yuri [45]

The dimensions of the box are 10 ft and 5 ft

The maximum volume is 500 ft³

Step-by-step explanation:

A rectangle box with

  • A square base and no top
  • It needs to be made using 300 ft² of material
  • It has greatest volume

Surface area of a box without top (SA) = perimeter of base × height + area of the base

Volume of a box (V) = base area × height

Assume that the length of the side of the square base is x and the height of the box is y

∵ It needs to be made using 300 ft² of material

∴ The surface area of the box is 300 ft²

∵ Its base is a square of side length x ft

∴ Perimeter of the base = 4 × x = 4 x

∴ Area of the base = x²

∵ The height of the box = y ft

∵ SA = perimeter of base × height + area of the base

∵ SA = (4x)(y) + x²

∴ SA = 4xy + x²

∵ SA of the box = 300 ft²

- Equate the two expressions of SA

∴ 4xy + x² = 300

Now let us find y in terms of x

- Subtract x² from both sides

∴ 4xy = 300 - x²

- Divide each term by 4x to find y

∴ y=\frac{75}{x}-\frac{1}{4}x

∵ V = area of the base × height

∴ V = x² × y = x²y

- Substitute y by the equation of it above

∴ V=x^{2}(\frac{75}{x}-\frac{1}{4}x)

∴ V=75x-\frac{1}{4}x^{3}

∵ The volume of the box is greatest

- That means differentiate V and equate it by 0

∵ \frac{dV}{dx}=75-\frac{3}{4}x^{2}

∵ \frac{dV}{dx}=0 ⇒ greatest volume

∴ 75-\frac{3}{4}x^{2}=0

- Subtract 75 from both sides

∴ -\frac{3}{4}x^{2}=-75

- Divide both sides by -\frac{3}{4}

∴ x² = 100

- Take √ for both sides

∴ x = 10

Substitute the value of x in the equation of y

∵ y=\frac{75}{10}-\frac{1}{4}(10)

∴ y = 5

The dimensions of the box are 10 ft and 5 ft

∵ V=75x-\frac{1}{4}x^{3}

∵ x = 10

∴ V=75(10)-\frac{1}{4}(10)^{3}

∴ V=750-\frac{1}{4}(1000)

∴ V = 750 - 250

∴ V = 500 ft³

The maximum volume is 500 ft³

Learn more:

You can learn more about the volume in brainly.com/question/6443737

#LearnwithBrainly

6 0
3 years ago
Complete the missing value/help?
blagie [28]

What it is basically asking is if Y = -4, find the value of x in the equation 6x + 7y = 4x + 4y

To solve this you just need to plug in -4 for y and solve for x

6x + 7(-4) = 4x + 4(-4)

6x - 28 = 4x - 16

Now isolate x by adding 28 to both sides

6x - 28 + 28 = 4x - 16 + 28

6x = 4x + 8

and subtract 4x from both sides

6x - 4x = 4x - 4x + 8

2x = 8

divide both sides by 2

2/2x = 8/2

x = 4

x = 4, y = -2

Answer: (4, - 2)

Hope it helps :)

Bransliest would be appreciated

5 0
2 years ago
Read 2 more answers
Other questions:
  • Gragh h(t) = 400 − 39t − 157e−t/4
    8·1 answer
  • Help me with this please .
    10·1 answer
  • You asked one of your team members about the schedule variance (SV) for one of her key deliverables. She mentioned that she is b
    14·1 answer
  • Find the standard form of the equation of the parabola with a focus at (0, 8) and a directrix at y = -8.
    10·2 answers
  • Please answer this correctly
    15·2 answers
  • I’m honestly still confused on how to write inequalities..
    9·2 answers
  • HELP ME THIS IS DUE IN A HOUR. <br> How many sit ups did Emily complete?<br> SORRY IF ITS BLURRY
    7·2 answers
  • Can somebody answer this please? Will give brainlest :) (valid answers only or you’ll be reported)
    14·2 answers
  • Ill brainlist you plus give you more points if needed I have atleast 40 somthing after this
    13·2 answers
  • The least common multiple of two whole numbers is 12. What is the ratio of the greater number to the lesser number is 3:2 what a
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!