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3 years ago

I need you to help me solve his

Mathematics

2 answers:

klio [65]3 years ago

7 0

2, 4, 10, and 18. These aren't the only answers but they all work

TiliK225 [7]3 years ago

5 0

6, 9, 12, 15. All you need to find is multiples of 3.

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Find the surface area of the right rectangular prism shown below.<br> units?<br> 2.5<br> 10<br> 4

Mrrafil [7]

Answer: Surface area = 46 units². Step-by-step explanation: The formula for determining the total surface area of a rectangular prism is expressed

3 0

3 years ago

At 2 PM, a thermometer reading 80°F is taken outside where the air temperature is 20°F. At 2:03 PM, the temperature reading yiel

Alexeev081 [22]

Use Law of Cooling:
$T(t) = (T_0 - T_A)e^{-kt} +T_A$
T0 = initial temperature, TA = ambient or final temperature

First solve for k using given info, T(3) = 42
$42 = (80-20)e^{-3k} +20 \\ \\ e^{-3k} = \frac{22}{60}=\frac{11}{30} \\ \\ k = -\frac{1}{3} ln (\frac{11}{30})$

Substituting k back into cooling equation gives:
$T(t) = 60(\frac{11}{30})^{t/3} + 20$

At some time "t", it is brought back inside at temperature "x".
We know that temperature goes back up to 71 at 2:10 so the time it is inside is 10-t, where t is time that it had been outside.
The new cooling equation for when its back inside is:
$T(t) = (x-80)(\frac{11}{30})^{t/3} + 80 \\ \\ 71 = (x-80)(\frac{11}{30})^{\frac{10-t}{3}} + 80$
Solve for x:
$x = -9(\frac{11}{30})^{\frac{t-10}{3}} + 80$
Sub back into original cooling equation, x = T(t)
$-9(\frac{11}{30})^{\frac{t-10}{3}} + 80 = 60 (\frac{11}{30})^{t/3} +20$
Solve for t:
$60 (\frac{11}{30})^{t/3} +9(\frac{11}{30})^{\frac{-10}{3}}(\frac{11}{30})^{t/3} = 60 \\ \\ (\frac{11}{30})^{t/3} = \frac{60}{60+9(\frac{11}{30})^{\frac{-10}{3}}} \\ \\ \\ t = 3(\frac{ln(\frac{60}{60+9(\frac{11}{30})^{\frac{-10}{3}}})}{ln (\frac{11}{30})}) \\ \\ \\ t = 4.959$

This means the exact time it was brought indoors was about 2.5 seconds before 2:05 PM

8 0

3 years ago

Please solve this ..................

AlladinOne [14]

Answer:

Step-by-step explanation:

√20=√5*2*2

√20=2√5

4 0

3 years ago

Sara and Ellie have $60 to spend on a gift for their mom. They want to buy her a bracelet that costs $62.50. What is the minimum

jarptica [38.1K]

Answer:

Simplify the expression. 4x - 3 + 8x - 5 - 3x

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

Elaine has 1 gallon of paint. She is going to pour it into a paint tray that measures 10 in wide 12 in long and 5 cm deep. ( 1 g

padilas [110]

Answer:

b. The paint will not fill the tray by 5.22 in3.

Step-by-step explanation:

The computation is shown below:

First we have to determine the volume of tray by using the following equation

$V = L \times W \times H$

Now transform this from dimensions to inches

Now putting the values,

$V = 10\times12\times (5\times(\frac{1}{2.54})) \\\\As\ 5 cm = 5 \times (\frac{1}{2.54})$

the volume would be equivalent to the

236.22 inches^3

Now 1 gallon is 231 inches^3

So, the remaining would be

= 236.22 - 231

= 5.22^3

Therefore the correct option is b.

Hence, all the other options are wrong

7 0

3 years ago