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3 years ago

Each floor in the old headquarters of Oldham Bank and Trust is 14 feet in

1 answer:

3 0

80ft! I might be wrong though

How I did it:
Since there are 5 floors (ground floor included) then that means only 1 floor is 24ft so I multiplied 14 by 4 to get 56 then I added 24 to get 80!

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A businessman is required to collect a 5% sales tax. One day he collected $281 in taxes. Find the total amount of sales he made

malfutka [58]

I don't fully understand the question but I hope this helps...

I believe this would mean he made $1405 that day.

3 0

3 years ago

The sum of two numbers is 43 . The smaller number is 19 less than the larger number. What are the numbers?

Setler [38]

Let the smaller number be x and the larger number be y.
We can calculate this by using simultaneous equation, aka listing 2 equations out.
From given,
X + y = 43
Let this be equation no. 1
X + 19 = y
Let this number be equation 2.
We can do simultaneous equations either by substitute method or elimination. In this case I'm using substitute.
We can already obtain the value of y (in terms of x) in euqation no. 2, so all we gonna do is to put y into equation 1.
X + x + 19 = 43
Solve this by algebra.
2x = 43 - 19
X = 12
Now we know the exact value of x
Now substitute x = 12 into equation no. 2
12 + 19 = y
Y = 31
So the answer is 12 and 31

7 0

3 years ago

Would like scatter plot image with line of best fit on the plot

dlinn [17]

Just take it in co-ordinate pairs

(x,y)=(Arm span,Height)

Take two points

(58,60)
(41,40)

Slope:-

$\\ \sf\longmapsto m=\dfrac{40-60}{41-58}$

$\\ \sf\longmapsto m=\dfrac{-20}{-17}$

$\\ \sf\longmapsto m=\dfrac{20}{17}$

$\\ \sf\longmapsto m\approx 1.2$

Equation of line in point slope form

$\\ \sf\longmapsto y-y_1=m(x-x_1)$

$\\ \sf\longmapsto y-60=1.2(x-58)$

$\\ \sf\longmapsto y-60=1.2x-69.6$

$\\ \sf\longmapsto 1.2x-y-9.6=0$

Convert to slope intercept form y=mx+b

$\\ \sf\longmapsto y=1.2x-9.6$

Graph attached

7 0

3 years ago

A mass of 5 kg stretches a spring 10 cm. The mass is acted on by an external force of 10sin( t ) N(newtons) and moves in a mediu

yKpoI14uk [10]

Answer:

A) C1 = 0.00187 m = 0.187 cm, C2 = 0.0062 m = 0.62 cm

B) A sample of how the graph looks like is attached below ( periodic sine wave )

C) w = $\sqrt[4]{3}$ is when the amplitude of the forced response is maximum

Step-by-step explanation:

Given data :

mass = 5kg

length of spring = 10 cm = 0.1 m

f(t) = 10sin(t) N

viscous force = 2 N

speed of mass = 4 cm/s = 0.04 m/s

initial velocity = 3 cm/s = 0.03 m/s

Formulating initial value problem

y = viscous force / speed = 2 N / 0.04 m/s = 50 N sec/m

spring constant = mg/ Length of spring = (5 * 9.8) / 0.1 = 490 N/m

f(t) = 10sin(t/2) N

using the initial conditions of u(0) = 0 m and u"(0) = 0.03 m/s to express the equation of motion

the equation of motion = 5u" + 50u' + 490u = 10sin(t/2)

A) finding the solution of the initial value

attached below is the solution and

B) attached is a periodic sine wave replica of how the grapgh of the steady state solution looks like

C attached below

3 0

3 years ago

Please answer<br><br>where can you find an ocean expansion which land

o-na [289]

What is ocean expansion:

Eustatic change is the expansion of the ocean due to the addition of water. The extra amount of water released into the ocean body is due to melting ice sheets and glaciers. Warmer temperatures accelerates the melting, adding more water into ocean the than previous decades.

Answer:

It will be seen in every place close to the sea or beaches also many island will go under.

4 0

3 years ago

Read 2 more answers