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Lorico [155]
3 years ago
8

PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP ASAPPPPPPPPPPP

PPPPPPPPPPPPPPPPPPPPPPPPPPPPP WILL GIVE BRAINIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Which statement is modeled by the expression?

150k


A.Cory had 150 dollars in his savings account. He withdrew k dollars to buy a catcher's mitt. He then had 150k dollars left in his savings account.

B.The cafeteria has a capacity of 150 seats. If k is the number of people in the cafeteria at lunch time, then 150k is number of seats that were not used at lunch time.

C.The Henderson family drove 150 miles each day of their vacation. If their vacation lasted for k days, then 150k is the total number of miles they traveled on their vacation.

D.A librarian had 150 books to be placed on shelves with an equal number of books on each shelf. If k is the number of shelves to be used, then 150k is the number of books on each shelf.

Which description represents the expression 3x+4 ?


A.the sum of 3 times a number and 4

B.4 added to 3 plus a number

C.4 divided by the product of 3 and a number

D.4 less than 3 times a number
Mathematics
2 answers:
anyanavicka [17]3 years ago
7 0

1.) The answer is statement C. 150k describes the product of 150 and k.

2.) The answer is A. If you use the same method above, 3x the the product of 3 and x. The +4 makes this expression the sum of 3 times a number and four.

Blizzard [7]3 years ago
4 0
D and A are the answers respectively.
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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
-12-x&gt;-12+4x<br> put the steps too pls thanks
andrey2020 [161]

Answer:

x < 0

Step-by-step explanation:

Firstly put the values with variable x to one side,

; -12 - x > -12 + 4x

; -12 + 12 > 4x + x

; 0 > 5x

then divide both sides by 5,

; (0 ÷ 5) > (5x ÷ 5)

; 0 > x

; Hence the solution to the inequality above,

; x < 0...always remember to reverse the sign when you change the side to which you put the variable of x,

Therefore...( x < 0 )

3 0
3 years ago
Please help ASAP!<br> 3(T + 4) - 2(2T + 3) = -4 <br> Thank You!
kakasveta [241]
The answer would be t=10
5 0
3 years ago
PLEASE ANSWER QUICK IT IS EASY!!!!!!!!!!!!! A student took 75 minutes to answer a combination of 30 multiple-choice and extended
GenaCL600 [577]

Answer:

What is the question? there is only statement.

5 0
3 years ago
2 children share 2 small boxes of cereal
adelina 88 [10]
Each person would get 1 bix of cereal because 2 divided by 2 = 1

Hope that helps!!! ;)
6 0
3 years ago
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