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Cloud [144]
3 years ago
8

Le Ann is purchasing a giftwrap for a box that measures 8 inches long, 6 inches wide, and 6 inches tall. Calculate the total are

a of the box that will be covered in giftwrap. Show all of your work for full credit
Mathematics
1 answer:
erastova [34]3 years ago
3 0

Answer:

The answer to your question is:  228 in²

Step-by-step explanation:

Data

length = 8 in

Wide = 6 in

height = 6 in

Total area = ?

Formula

                  Area = base x height

There are 3 kinds of rectangles

1st rectangle

                  Area = 8 x 6

                           = 48 in²  x 2 = 96 in²

2nd      

                Area = 8 x 6

                         = 48 in² x 2 = 96 in²

3rd

               Area = 6 x 6

                       = 36 in²

Total area = 96 + 96 + 36

                 = 228 in²

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The rate of change in the temperature T of coffee at time t is proportional to the difference between the temperature M of the a
Anna11 [10]

Answer:

T'(t)=k(M(t)-T(t))

Step-by-step explanation:

The rate of change in the temperature T of coffee at time t is written as T'(t) (remember derivatives are used to express rates of change, and in our case the rate of change of the temperature T). The difference between the temperature M of the air at time t, and the temperature T of the coffee at time t can be expressed as M(t)-T(t)

Saying that the rate of change in the temperature T is proportional to the difference between M and T is just a way of saying that the rate of change in the temperature T is equal to the difference between M and T, multiplied by some constant k (whose value we don't know, but still that's what it means).

Therefore we get

T'(t)=k(M(t)-T(t))

7 0
3 years ago
Given the function rule f(x)=x2-4x+3 what is the output of f(-3)
Mariana [72]
(-3)^2 -4(-3) + 3

9 + 12 + 3

So the answer is 24
3 0
3 years ago
a cooler contains 50 bottles; 30 bottles of water, which 8 are lemon flavored and 20 bottles of tea, of which 5 are lemon flavor
xenn [34]

Answer:

The required probability is \dfrac{13}{50}

Step-by-step explanation:

Total number of bottles = 50

Total number of water bottles = 30

Total number of lemon flavored water bottles = 8

Total number of tea bottles = 20

Total number of lemon flavored tea bottles = 5

<em>Probability of selecting a lemon flavored water bottle = Probability of selecting a water bottle </em>\times<em> Probability of selecting a lemon bottle out of water bottles.</em>

<em></em>

<em>Probability of selecting a lemon flavored tea bottle = Probability of selecting a tea bottle </em>\times<em> Probability of selecting a lemon bottle out of tea bottles.</em>

Formula for probability of an event E can be observed as:

P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}

Probability of selecting a water bottle:

\dfrac{30}{50} = \dfrac{3}{5}

Probability of selecting a lemon flavored bottle from water bottle:

\dfrac{8}{30}

<em>Probability of selecting a lemon flavored water bottle = P(A)</em>

<em></em>\dfrac{3}{5} \times \dfrac{8}{30} = \dfrac{4}{25}<em></em>

<em></em>

Probability of selecting a tea bottle:

\dfrac{20}{50} = \dfrac{2}{5}

Probability of selecting a lemon flavored bottle from tea bottle:

\dfrac{5}{20} = \dfrac{1}{4}

<em>Probability of selecting a lemon flavored tea bottle = P(B)</em>

<em></em>\dfrac{2}{5} \times \dfrac{1}{4} = \dfrac{1}{10}<em></em>

<em></em>

<em>The required probability is:</em>

<em>P(A) + P(B):</em>

<em></em>\dfrac{4}{25} + \dfrac{1}{10}\\\Rightarrow \dfrac{8+5}{50}\\\Rightarrow \dfrac{13}{50}<em></em>

8 0
3 years ago
What is the simplified form of the equation 4/5n - 1/5 = 2/5n ?
Gnoma [55]

we are given

\frac{4}{5}n -\frac{1}{5} =\frac{2}{5}n

Firstly , we will multiply both sides by 5

5*\frac{4}{5}n -5*\frac{1}{5} =5*\frac{2}{5}n

now, we can simplify it

4n-1 =2n

2n =1

now, we can solve for n

n =\frac{1}{2}.............Answer

8 0
3 years ago
Please help!! I Will give brainliest!! Just the coordinates will be fine!!
Lerok [7]

Answer:

(2, 1) (1, 5) and (4, 3)

Step-by-step explanation:

Basically switch the x and y axes, and depending on the quadrant, switch the negative and positive signs to their appropriate ones.

hope this helps!

please heart and five-star it if u have the chance! :D

6 0
3 years ago
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