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Vlad [161]
3 years ago
15

Both the diameter and height of a cylinder vase are 2.5 times greater than a dimilar vase. The surface area of the smaller vase

is 2826 square centimeters. What is the surface area of the larger vase?​
Mathematics
1 answer:
faust18 [17]3 years ago
7 0

Both diameter and height are scaled by 2.5.

Area is measured in squared units ( square centimetres).

Square the scale factor:

2.5^2 = 6.25

Multiply the area of the smaller vase by the scale:

2826 x 6.25 = 17,662.5 square cm.

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Marlena created a table of values representing the height in feet, h(t), of a coconut falling to the hard ground with a height o
oee [108]

Answer is CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC

7 0
3 years ago
Read 2 more answers
A person borrows $10,000 and repays the loan at the rate of $2,400 per year. The lender charges interest of 10% per year. Assumi
omeli [17]

Answer:

a) M(t)=24000-14000e^{t/10}

b) It takes 5.390 years to pay off the loan.

Step-by-step explanation:

(a) The differential equation for the variation in the amount of the loan M is

\frac{dM}{dt}=0.1M-2400

We can express this equation as:

\frac{dM}{dt}=0.1M-2400\\\\10\int \frac{dM}{M-24000} =\int dt\\\\10ln(M-24000)=t\\\\M-24000=Ce^{t/10}\\\\M=Ce^{t/10}+24000\\\\M(0)=Ce^{0/10}+24000=10000\\\\C+24000=10000\\\\C=-14000\\\\M(t)=24000-14000e^{t/10}

(b) We can calculate this as M(t)=0

M(t)=24000-14000e^{t/10}=0\\\\e^{t/10}=24000/14000=1.714\\\\t=10ln(1.714)=10* 0.5390=5.390

It takes 5.390 years to pay off the loan.

8 0
3 years ago
Find the volume of a cylinder with a diameter of 6 inches and a height that is three times the radius. Use pi on your calculator
Virty [35]
ANSWER
V=254.47in^3

EXPLANATION

The volume of a cylinder is given by the formula:

V=\pi \: {r}^{2} h

The given cylinder has diameter 6. This means that, the radius is

r = \frac{6}{2}

r = 3cm

The is height is

h = 3r

h = 3(3) = 9cm

We substitute the values into the formula to obtain;

V=\pi \: {3}^{2} \times 9

V=81\pi

V=254.46900494

The volume is 254.47in^3 to the nearest hundredth
7 0
3 years ago
Read 2 more answers
If x+y=10 and x-y =6 what is the answer of x cube - y cube fast​
AfilCa [17]

Answer:

x+y=10 which means that x=10-y

Replace 10-y in the other equation which gives you:

10-y-y=6

10-2y=6

-2y=-4

y=2

Replace 2 in any of the 2 equations same answer for both:

x+y=10

x+2=10

x=8

So,

{x}^{3} - y^{3}

=  {8}^{3}  -  {2}^{3}

=512-8

=504

Hope this helps!

4 0
2 years ago
please help me evaluate this. the answer is B but im not sure how to get the answer without using a calculator. please show step
iragen [17]

Answer:

  b.  9/100

Step-by-step explanation:

It helps if you have memorized the cubes of small integers. Of course, the ones needed here are ...

  3³ = 27

  10³ = 1000

The desired value can be simplified to ...

  \left(-\dfrac{1000}{27}\right)^{-2/3}=\left(-\sqrt[3]{\dfrac{3^3}{10^3}}\right)^2=\dfrac{(-3)^2}{10^2}=\dfrac{9}{100}

6 0
3 years ago
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