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Jobisdone [24]
2 years ago
15

Does anybody know the answer to this??

Mathematics
2 answers:
Angelina_Jolie [31]2 years ago
5 0

Answer:

a. 14 Cubic Units

Step-by-step explanation:

This is a complex shape made by a 2x3 and a 2x4 shape

The volume of each of them are 6 cubic units and 8 cubic units respectively.

Together they make a complex shape with the volume of 14 cubic units

lbvjy [14]2 years ago
4 0

Answer:

A

Step-by-step explanation:

i counted all of the cubes and came up with 14 hence 14 is the answer

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A rectangular swimming pool that is 10 ft wide by 16 ft long is surrounded by a cement sidewalk of uniform width. If the area of
Alchen [17]
We are asked to solve for the width "x" in the given problem. To visualize the problem, see attached drawing.
We have the area of the swimming pool such as:
Area SP = l x w
Area SP = 10 * 16
Area SP = 160 feet2
Area of the swimming pool plus the sidewalk with uniform width:
Area SP + SW = (10 + x) * (16 + x)
160 + 155 = 160 + 10x + 16x + x2
160 -160 + 155 = 26x + x2
155 = 26 x + x2
x2 + 26x -155= 0
Solving for x, we need to use quadratic formula and the answer is 5 feet.

The value of x is <span>5 feet. </span>

5 0
3 years ago
Which of the following is an arithmetic sequence?<br><br>​
Lemur [1.5K]
Answer:

either D or A i’m not sure

explanation:

your multiplying by 4 each time.
4 x 4 = 16
16 x 4 = 64
64 x 4 = 256
thats for D

your adding 4 each time
19-15=4
15-11=4
11-7=4
7-3=4
that’s for A
7 0
3 years ago
Please help due in 5 minutes !
Liula [17]

Answer:

all

Step-by-step explanation:

of them

why?

becuase htink

nobody cares

8 0
3 years ago
A given field mouse population satisfies the differential equation dp dt = 0.5p − 410 where p is the number of mice and t is the
ohaa [14]

Answer:

a) t = 2 *ln(\frac{82}{5}) =5.595

b) t = 2 *ln(-\frac{820}{p_0 -820})

c) p_0 = 820-\frac{820}{e^6}

Step-by-step explanation:

For this case we have the following differential equation:

\frac{dp}{dt}=\frac{1}{2} (p-820)

And if we rewrite the expression we got:

\frac{dp}{p-820}= \frac{1}{2} dt

If we integrate both sides we have:

ln|P-820|= \frac{1}{2}t +c

Using exponential on both sides we got:

P= 820 + P_o e^{1/2t}

Part a

For this case we know that p(0) = 770 so we have this:

770 = 820 + P_o e^0

P_o = -50

So then our model would be given by:

P(t) = -50e^{1/2t} +820

And if we want to find at which time the population would be extinct we have:

0=-50 e^{1/2 t} +820

\frac{820}{50} = e^{1/2 t}

Using natural log on both sides we got:

ln(\frac{82}{5}) = \frac{1}{2}t

And solving for t we got:

t = 2 *ln(\frac{82}{5}) =5.595

Part b

For this case we know that p(0) = p0 so we have this:

p_0 = 820 + P_o e^0

P_o = p_0 -820

So then our model would be given by:

P(t) = (p_o -820)e^{1/2t} +820

And if we want to find at which time the population would be extinct we have:

0=(p_o -820)e^{1/2 t} +820

-\frac{820}{p_0 -820} = e^{1/2 t}

Using natural log on both sides we got:

ln(-\frac{820}{p_0 -820}) = \frac{1}{2}t

And solving for t we got:

t = 2 *ln(-\frac{820}{p_0 -820})

Part c

For this case we want to find the initial population if we know that the population become extinct in 1 year = 12 months. Using the equation founded on part b we got:

12 = 2 *ln(\frac{820}{820-p_0})

6 = ln (\frac{820}{820-p_0})

Using exponentials we got:

e^6 = \frac{820}{820-p_0}

(820-p_0) e^6 = 820

820-p_0 = \frac{820}{e^6}

p_0 = 820-\frac{820}{e^6}

8 0
3 years ago
Officials estimate that 320,000 Boston-area partygoers attended last year's Independence Day celebration on the banks of the Cha
Anna11 [10]

40 ton x 2000 = 80,000 pounds

320000/8000 = 40 pounds per person

7 0
3 years ago
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