miranda is riding her bicycle she goes from 5m/s to 20m/s over a period of 30 seconds at. what rate what is her acceleration​

Answers

Answer 1
Answer:

Step-by-step explanation:

Acceleration= (final velocity - initial velocity)/ time

= v-u/t

v = 20m/s

u = 5m/s

t= 30s

= 20-5/30

= 15/30

= 0.5ms^-2


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Please help me i will mark brainliest
Find an equation of the circle that satisfies the given conditions. (Give your answer in terms of x and y.)Center(4, −5)and passes through(7, 4)

Please answer this, I am confused (5^2)(7^2)(3^2)

Answers

Given:

The expression is:

(5^2)(7^2)(3^2)

To find:

The value of the given expression.

Solution:

We have,

(5^2)(7^2)(3^2)

On simplification, we get

(5^2)(7^2)(3^2)=(25)(49)(9)

(5^2)(7^2)(3^2)=11025

Therefore, the value of the given expression is 11025.

GUYS HELP ME PLS. Tina is standing at the bottom of a hill. Matt is standing on the hill so that when Tina's line of sight isperpendicular to her body, she is looking at Matt's shoes.
a. If Tina's eyes are 5 feet from the ground and 14.5 feet from Matt's shoes, what is the angle of elevation of
the hill to the nearest degree?

Answers

Answer:

71°

Step-by-step explanation:

The angle of elevation of the hill can be obtiaed using trigonometry :

Given

the opposite length = 14.5 feets

Adjacent = 5 feets

The angle of elevation vabnbe obtained using :

Tan θ = opposite / Adjacent

Where θ = angle of elevation

Tan θ = 14.5 / 5

Tan θ = 2.9

θ = tan^-1(2.9)

θ = 70.97 = 71°

A rectangular gift box is 9inches inches wide, 12 inches long and 5 inches tall. How much wrapping paper is needed to cover the box exactly

Answers

Answer:

You will 426 \:in^2 wrapping paper to cover the box.

Step-by-step explanation:

To find how much wrapping paper you will need to cover the box, you will have to find the surface area.

The surface area is the amount of area around the outside of an object.

The outside surface area of a box is given by

                                S=2(h \cdot W) + 2(h\cdot L) + 2(W \cdot L)

where h is the height, W is the width, and L is the length of the box.

From the information given we know that the height is 5 inches, the width is 9 inches, and the length is 12 inches.

Applying the above formula we get that

S=2(5 \cdot 9) + 2(5 \cdot 12) + 2(9 \cdot 12) \nS=2\cdot \:45+2\cdot \:60+2\cdot \:108\nS=90+120+216\nS=426 \:in^2

You will 426 \:in^2 wrapping paper to cover the box.

Find the amount of the discount on a $120 bicycle that is on sale for 25% off.

Answers

The discount is 30 dollars I believe.

it is $30 off. 25% of $120 is 30.

A cable that weighs 6 lb/ft is used to lift 500 lb of coal up a mine shaft 400 ft deep. Find the work done. Show how to approximate the required work by a Riemann sum. (Let x be the distance in feet below the top of the shaft. Enter xi* as xi.)

Answers

The work done to lift the coal is 6.8*10^5 ft-lb

Data;

  • weight of cable = 6lb/ft
  • weight of coal = 500lb
  • length of mine shaft = 400ft

Let the distance (ft) below top of the shaft be represented by x

The weight of the coal  to be lifted from mine = 500lb

Work Done

The work done to lift the coal is

work = force * displacement\nw=fx\nforce f(x) = 500 + 6x\nw_i= f(x_i)=[500+6x_i]\delta x\n

Taking the summation limit

w =  \lim_(0 \to 400) \sum [500+6x_i]\delta x\n \delta w = f(x) \delta x\n

we can take the integration of both sides where x will the range from 0 to 400.

\int \delta w = \int f(x) dx\n\int\limits^(400)_0{(500+6x)} \, dx \nw=[500x+3x^2]_0^4^0^0\nw=500(400-0)+ 3(400^2-0^2)\nw= 680000\nw=6.8*10^5 ft-lb

From the calculations above, the work done is 6.8*10^5 ft-lb

Learn more on work done on a lift here;

brainly.com/question/10247507

brainly.com/question/7203062

Answer:

8.2 *10^5 ft lb

Step-by-step explanation:

Wcoal = 800*500  = 400000 = 4*10^5 ft lb

Wrope =\int\limits^(400)_0 {6(400-y)} \, dy

Using a right Riemann sum

The width of the entireregion to be estimated = 400 - 0 = 400

Considering 8 equal subdivisions, then the width of each rectangular division is 400/8 = 50

F(x) = 6(400-y)

\left[\begin{array}{cccccccccc}x&0&50&100&150&200&250&300&350 &400\nf(x)&2400&2100&1800&1500&1200&900&600&300&0\end{array}\right]

Wrope = 50(2100) + 50(1800) + 50(1500) + 50(1200) + 50(900) + 50(600)

+ 50(300) + 50(0) = 420000 = 4.2 * 10^5 ft lb

Note: Riemann sum is an approximation, so may not give a accurate value

work done =  Wcoal + Wrope= 4*10^5+ 4.2 * 10^5 = 8.2 *10^5 ft lb

Help please it due today thank u

Answers

Answer:

Step-by-step explanation:

y=4x+30

Answer: y = 30x + 4 (/1)

Step-by-step explanation:

30 is the y intercept because it says its' the startup fee. Therefore it must be the y intercept.

4 must be the gradient. Basically, on a Cartesian plane, the y intercept will be on 30. Move 4 digits up and 1 to the left continually