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2 years ago

What is the surface area of the rectangular prism below 7, 7, 14

Mathematics

1 answer:

Julli [10]2 years ago

8 0

Answer:

Surface Area A = 490 cm²

Step-by-step explanation:

Surface area of a prism A = 2(w l +h l + h w)

where l = length

w = width

h = height

l = 7 cm; w = 7 cm ; h = 14 cm

Surface Area = 2 { ( 7 × 7) + ( 14 × 7) + ( 14 × 7)}

A = 2 { 49 + 98 + 98}

A = 2 × 245

A = 490 cm²

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The graph shows two lines, A and B. A graph is shown with x- and y-axes labeled from 0 to 6 at increments of 1. A straight line

mixas84 [53]

( Part A: Ok 2,6 and 6,2 and 0,3 and 4.5,6 you can add 2,6 and every other number with part b which is 2,6 +0,3= 2,3 and also 2,6+4.5,6= 6.5,12 and you can do the same with 6,2 and you will get 6,5 and 10.5,8)
(Part B: 2,3^6.5,12^6,5^10.5,8)
~Riley Hope this helped :P

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3 years ago

How much money should be deposited today in an account that earns 4% compounded semi annually so that it will accumulate to 13,0

DedPeter [7]

Answer:

$11543.63

Step-by-step explanation:

Plug information into A=P(1+r/n)^nt

13000 = P(1+(.04/2))^(2*3)

13000 = P(1.02)^6

Isolate P

13000/(1.02^6) = P

P = $11543.63

5 0

1 year ago

Kryptonite is a material found on the planet Krypton and has various effects, most importantly on Superman. The most common type

Rashid [163]

Answer:

The maximum amount of red kryptonite present is 33.27 g after 4.93 hours.

Step-by-step explanation:

dy/dt = y(1/t - k)

separating the variables, we have

dy/y = (1/t - k)dt

dy/y = dt/t - kdt

integrating both sides, we have

∫dy/y = ∫dt/t - ∫kdt

㏑y = ㏑t - kt + C

㏑y - ㏑t = -kt + C

㏑(y/t) = -kt + C

taking exponents of both sides, we have

$\frac{y}{t} = e^{-kt + C} \\\frac{y}{t} = e^{-kt}e^{C} \\\frac{y}{t} = Ae^{-kt} (A = e^{C})\\y = Ate^{-kt}$

when t = 1 hour, y = 15 grams. So,

$y = Ate^{-kt}\\15 = A(1)e^{-kX1}\\15 = Ae^{-k}$ (1)

when t = 3 hours, y = 30 grams. So,

$y = Ate^{-kt}\\30 = A(3)e^{-kX3}\\30 = 3Ae^{-3k}$ (2)

dividing (2) by (1), we have

$\frac{30}{15} = \frac{3Ae^{-3k}}{Ae^{-k}} \\2 = 3e^{-2k}\\\frac{2}{3} = e^{-2k}$

taking natural logarithm of both sides, we have

-2k = ㏑(2/3)

-2k = -0.4055

k = -0.4055/-2

k = 0.203

From (1)

$A = 15e^{k} \\A = 15e^{0.203} \\A = 15 X 1.225\\A = 18.36$

Substituting A and k into y, we have

$y = 18.36te^{-0.203t}$

The maximum value of y is obtained when dy/dt = 0

dy/dt = y(1/t - k) = 0

y(1/t - k) = 0

Since y ≠ 0, (1/t - k) = 0.

So, 1/t = k

t = 1/k

So, the maximum value of y is obtained when t = 1/k = 1/0.203 = 4.93 hours

$y = 18.36(1/0.203)e^{-0.203t}\\y = \frac{18.36}{0.203}e^{-0.203X1/0.203}\\y = 90.44e^{-1}\\y = 90.44 X 0.3679\\y = 33.27 g$

So the maximum amount of red kryptonite present is 33.27 g after 4.93 hours.

3 0

3 years ago

Martha measures the big prize wheel on a game show and calculates that it has a circumference of 12.56 yards. What is the prize

trasher [3.6K]

The radius is 2 yards...
Formula for circumference is $\pi r^2$ so divide your circumference by 3.14 or pi and you get 4 the square root of 4 is 2.

Hope this helps!

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2 years ago

The weights (in pounds) of 30 preschool children are listed below. which weights are below the 25th percentile? 25 25 26 26.5 27

Leto [7]

from the first 35 through 25

6 0

2 years ago