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2 years ago

Which transformation best describes the image of a object viewed through a microscope?

Mathematics

2 answers:

igor_vitrenko [27]2 years ago

8 0

Answer:

It is A - Dilation

algol132 years ago

4 0

A. dilation.............

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Bananas are sold in bunches at a grocery store and typically consist of 4-8 bananas per bunch. suppose the weight of these bunch

AleksandrR [38]

Normal distribution
μ=3.54
σ=0.63
x≥3.0

Z(X≤x)=(x-μ)/σ=(3-3.54)/0.63=-0.85714
P(X≤x)=0.195683
P(X≥x)=1-P(X≤x)=1-0.195683=0.80432

3 0

2 years ago

An airplane, flying at a constant speed of 360 mi/hr and climbing at a 30 degree angle, passes over a point P on the ground at a

Klio2033 [76]

Answer:

Step-by-step explanation:

Given

velocity of airplane is 360 mi/hr

inclination of climbing $30^{\circ}$

Plane velocity can be divided in to x & y component

Velocity in x component is $360\cos30$

Velocity in y component is $360\sin30$

Thus distance traveled in x axis is $=360\cos30\times \frac{1}{60}$

=60cos30=51.96 miles

Distance travel in upward direction i.e. in Y axis

$=360\sin30\times \frac{1}{60}=30 miles$

so total altitude gain by plane is 30+4=34 miles

Horizontal distance traveled is 51.96

inclination w.r.t to point p

$tan\theta =\frac{34}{51.96}=0.654$

$\theta =33.18^{\circ}$

Initial inclination is $90^{\circ}$

therefore rate at which its distance is changing is $360\cos30=311.76 miles /hour$

3 0

2 years ago

Josephina is preparing Indian pudding for a party. She is cooking the pudding in a water-tight container submerged in boiling wa

GrogVix [38]

Answer:

a) T(t)= 100e^(-0.0513t)

b) See attachment for graph

y-intercept is inital temperature

domain is t≥0, range is 0 <T≤100

c) 44.9min

Step-by-step explanation:

a) at t=0, T=100

at t=1, T=95

T(t)= Ae^-kt

100=Ae^(-k×0)

A=100

95=100e^(-k

k=0.0513

T(t)= 100e^(-0.0513t)

b) as time reaches infinity, temperature of pudding becomes approximately equal to 0. x-axis is the asyptote of the graph

c) 10= 100e^(-0.0513t)

t= 44.9 min

4 0

2 years ago

You work forty hours a week at a furniture store. You receive a 1,200 dollar weekly salary, plus a 4.1% commision on sales over

Pachacha [2.7K]

If you call x the total value of the sales, the sale over 12,000 will be: g(x) = 12,000 - x.

And the commission is 4.1% of that = 0.041 * (12,000 - x) = 0.041 * g(x)

So, if f(x) = 0.041x, to calculate the commission you first have to calculate g(x) = 12,000 - x, and the f(g(x))=0.041[12,000 - x].

Which leads you to the solution for the commission as [f o g] (x) = f (g(x)) = 0.041 (12,000 - x).

Answer: [ f o g] (x)

4 0

2 years ago

How much money, as a one-time deposit, PV, would you need to deposit into an account that earns 1.5% compounded monthly to earn

Karolina [17]

Answer:

The amount needed as a one-time deposit to earn $7,500 in 3 years is <em>$4388.17</em>

Step-by-step explanation:

<u>Basic Finance Formulas </u>

One of the most-used formulas to compute present and future values is

$FV=PV(1+r)^{n}$

Where FV is the future value, PV is the present value, r is the interest rate and n is the number of periods. It's vital to keep in mind that r and n must be referred to the same compounded time, e.g. r is compounded monthly and n is expressed in months

The question requires to compute the PV needed as a one-time deposit to earn a future value of $7,500 in 3 years at a 1.5% rate compounded monthly.

FV=7,500

r=1.5%=0.015

n=3*12=36 months

We converted n to months because r is compounded monthly . The formula

$FV=PV(1+r)^{n}$

must be managed to make PV isolated

$PV=FV(1+r)^{-n}$

$PV=7,500(1+0.015)^{-36}$

$PV=\$4388.17$

Answer: The amount needed as a one-time deposit to earn $7,500 in 3 years is $4388.17

3 0

2 years ago