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3 years ago

Need help again the right answer will be marked as brainlest !!!!

Mathematics

2 answers:

mojhsa [17]3 years ago

7 0

Answer:

Step-by-step explanation:

This is so because if you do put $2\frac{1}{5}$ and $2\frac{3}{5}$ , on a vertical number line since $2\frac{1}{5}$ Is less than $2\frac{3}{5}$ It will be under

faltersainse [42]3 years ago

3 0

Answer:

Step-by-step explanation:

Since it says that $2\frac{1}{5}$ it basically gives you the answer.

On a vertical number line, $2\frac{1}{5}$ is located below $2\frac{3}{5}$

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if a snowball rolls down a hill and its surface area increaces at a rate of 18cm^2/min, find the rate at which the radius increa

sp2606 [1]

Answer: dr/dt = 9/(24pi) cm per minute

9/(24pi) is approximately equal to 0.119366

=============================================

Work Shown:

Given info

dS/dt = 18 cm^2/min is the rate of change of the surface area

r = 6 cm is the radius, from the fact that the diameter is 12 cm

--------

Use the surface area equation given, apply the derivative, plug in the given values and then isolate dr/dt which represents the rate of change for the radius

S = 4*pi*r^2

dS/dt = 2*4*pi*r*dr/dt

dS/dt = 8*pi*r*dr/dt

18 = 8*pi*6*dr/dt

18 = 48*pi*dr/dt

48pi*dr/dt = 18

dr/dt = 18/(48pi)

dr/dt = (9*2)/(24*2pi)

dr/dt = 9/(24pi)

The units are cm per minute, which can be written as cm/min.

3 0

3 years ago

Braden bought a piece of commercial real estate for $101,234. The value of the real estate appreciated at a constant rate per ye

MrMuchimi

Answer:

f(t) = 101,234 $(1.03)^{t}$

Step-by-step explanation:

First, use FV formula to find the rate ;r given PV=101,234 and FV=104,271.02 and time= 1 year

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

104,271.02 = 101,234 $(1+r)^{1}$

Divide both sides by 101,234 to get;

104,271.02 / 101,234 = 1+r

1.03 = 1+r

1.03 -1 =r

therefore r= 0.03 or 3%

Next, to get the function of FV of estate after t years; f(t) ;

Plug in the 3% rate found above into the FV formula with PV being the current value of 101,234 and it becomes;

f(t) = 101,234 $(1.03)^{t}$

5 0

3 years ago

Read 2 more answers

Write an equation of the line. (5 Points)

Aleks [24]

Y=6x+6 !! enjoy your dayy

7 0

3 years ago

Read 2 more answers

The altitude (i.e., height) of a triangle is increasing at a rate of 2 cm/minute while the area of the triangle is increasing at

aksik [14]

The formula for the area of a triangle is
$A=\frac{1}{2}bh$
$\rightarrow\frac{dA}{dt}=\frac{1}{2}(b\frac{dh}{dt}+h\frac{db}{dt})$

We are given:
$\frac{dh}{dt}=2$
$\frac{dA}{dt}=4.5$
$h=9.5$
$A=92$

Plug in:
$4.5=\frac{1}{2}(b*2+9.5\frac{db}{dt})$
We can find $b$ with:
$A=\frac{1}{2}bh\rightarrowb=\frac{2A}{h}=\frac{2*92}{9.5}=\frac{184}{9.5}$
So $4.5=\frac{1}{2}(2*\frac{184}{9.5}+9.5\frac{db}{dt})$
$\rightarrow9=\frac{368}{9.5}+9.5\frac{db}{dt}$
$\rightarrow9-\frac{368}{9.5}=9.5\frac{db}{dt}$
$\rightarrow\frac{db}{dt}=\frac{9-\frac{368}{9.5}}{9.5}\approx-3.130$

So the base is decreasing at a rate of 3.130 cm/minute.

6 0

3 years ago

Find the center, vertices, and foci of the ellipse with equation x^2/100+y^2/64 = 1.

Amiraneli [1.4K]

X^2/a^2+y^2/b^2=1

a^2=100 a=10
b^2=64 b=8

c^2=a^2-b^2
c=6

7 0

3 years ago