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stiks02 [169]
3 years ago
9

What expression is equivalent to 4 to the negative 3 power

Mathematics
1 answer:
Elina [12.6K]3 years ago
4 0

Answer:

1/64

Step-by-step explanation:

4^(-3)

1/4³

1/64

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1. Which would be a more helpful for solving the system: adding the two equations or subtracting
ira [324]

Answer:

1) Subtracting one from the other

2) x = 0.375 and y = 0.125

Step-by-step explanation:

Equation 1 :

\frac{2x+1}{2y}=7\\\\

Equation 2:

\frac{6x-1}{2y}=5

To solve these equations by the Elimination method we multiply equation 1 with 6 and multiply equation 2 with 2 so now,

\frac{2x+1}{2y} =7\\\\2x+1=14y\\\\Multiplying\ Equation\ 1\  with\ 6\\\\12x+6=84y

Now for the second equation:

\frac{6x-1}{2y}=5\\\\6x-1=10y\\\\Multiplying\ equation\ 2\ with\ 2 \\\\12x-2=20y

Now subtracting equation 2 from equation 1

12x+6=84y\\\\12x-2=20y\\\\Subtracting\ leads\ to\\12x-12x+6-(-2)=84y-20y\\0+8=64y\\8=64y\\8/64=y\\0.125=y

now insert this value of y into any equation

lets insert it into equation 1

\frac{2x+1}{2y} =7\\\\2x+1=14y\\2x+1=14(0.125)\\2x+1=1.75\\2x=1.75-1\\2x=0.75\\x=0.75/2\\x-0.375

5 0
3 years ago
Suppose that news spreads through a city of fixed size of 700000 people at a time rate proportional to the number of people who
Gnoma [55]

Answer:

y'(t) = k(700,000-y(t))  k>0 is the constant of proportionality

y(0) =0

Step-by-step explanation:

(a.) Formulate a differential equation and initial condition for y(t) = the number of people who have heard the news t days after it has happened.

If we suppose that news spreads through a city of fixed size of 700,000 people at a time rate proportional to the number of people who have not heard the news that means  

<em>dy/dt = k(700,000-y(t)) </em>where k is some constant of proportionality.

Since no one has heard the news at first, we have

<em>y(0) = 0 (initial condition) </em>

We can then state the initial value problem as

y'(t) = k(700,000-y(t))

y(0) =0

8 0
3 years ago
Fiona Follies is a small bakery that sells cupcakes and muffins. A cupcake sells for $3 and a muffin sells for $2. When all rela
Elan Coil [88]

Note that fiona cannot sell decimal number of cupcakes or muffins. That's why the options A and D are false.

Consider all remaining options:

B. 40 cupcakes and 80 muffins will cost $(40·3+80·2)=$(120+160)=$280, but Fiona Follies sold at least $300 worth of cupcakes and muffins. Thus, this option is false.

C. 60 cupcakes and 70 muffins will cost $(60·3+70·2)=$(180+140)=$320. Now consider expenses. $(60·0.75+70·0.5)=$(45+35)=$80. This option is true.

E.  80 cupcakes and 80 muffins will cost $(80·3+80·2)=$(240+160)=$400. Now consider expenses. $(80·0.75+80·0.5)=$(60+40)=$100 (exactly $100). This option is true.

Answer: correct options are C and E.

4 0
3 years ago
Join my G i m k i t Code is 85963
Ludmilka [50]

Answer

I joined but it said it was full

7 0
3 years ago
How to convert 80 kilometers per hour is 60 miles per hour?
Tatiana [17]
1 km = 0.62 mi
1 mi = 1.6 km

80*0.62
  -or-
60*1.6

Hope this helps
5 0
2 years ago
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