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lys-0071 [83]
3 years ago
14

Miss gallon spent 55% of her savings on a television that cost $550 how much money did she have her savings before she bought th

e television
Mathematics
1 answer:
Salsk061 [2.6K]3 years ago
4 0
I believe that she had $852.50. When you multiply 550 by .55(55%) you get 302.50. This is how much she has left. Now you add that to the 550 to get $852.50
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Which expression is equivalent to ( 4mn / m^-2n^6)^-2
inn [45]

Here are a few rules with exponents that apply here:

  1. Raising a power to a power: (x^m)^n=x^{m*n}
  2. Dividing exponents of the same base: \frac{x^m}{x^n}=x^{m-n}
  3. Converting negative exponents to positive ones: x^{-m}=\frac{1}{x^m}\ \textsf{and}\ \frac{1}{x^{-m}}=x^m

Firstly, solve the outer exponent:

(\frac{4mn}{m^{-2}n^{6}})^{-2}=\frac{4^{-2}m^{-2}n^{-2}}{m^{-2*-2}n^{6*-2}}=\frac{4^{-2}m^{-2}n^{-2}}{m^4n^{-12}}

Next, divide:

\frac{4^{-2}m^{-2}n^{-2}}{m^4n^{-12}}=4^{-2}m^{-2-4}n^{-2-(-12)}=4^{-2}m^{-6}n^{10}

Next, convert the negative exponents:

4^{-2}m^{-6}n^{10}=\frac{n^{10}}{4^2m^6}=\frac{n^{10}}{16m^6}

<u>Your final answer is n^10/16m^6 , or B.</u>

8 0
3 years ago
Connor was given a box of asstorted chocolates for his birthday. Each night, Connor treated himself to some chocolates. There we
swat32

Answer: 18- 3t

Step-by-step explanation:

7 0
2 years ago
Evaluate.
ohaa [14]

Step-by-step explanation:

\frac{9.2 \times  {10}^{ - 8} }{2.3 \times  {10}^{3} }  \\  = 4.0 \times  {10}^{ - 11}

8 0
2 years ago
1 point<br> What is the center and radius of a circle with equation (x-4)2 + (y - 2)2 = 4
abruzzese [7]

Step-by-step explanation:

Find the Center and Radius (x-4)^2+y^2=4

(

x

−

4

)

2

+

y

2

=

4

This is the form of a circle. Use this form to determine the center and radius of the circle.

(

x

−

h

)

2

+

(

y

−

k

)

2

=

r

2

Match the values in this circle to those of the standard form. The variable

r

represents the radius of the circle,

h

represents the x-offset from the origin, and

k

represents the y-offset from origin.

r

=

2

h

=

4

k

=

0

The center of the circle is found at

(

h

,

k

)

.

Center:

(

4

3 0
2 years ago
PLEASE HELP!!<br><br> what is the explicit formula for this sequence -7, -4, -1, 2, 5
trasher [3.6K]

Answer:

The explicit formula for the given expression is a_n=-10+3n.

Step-by-step explanation:

The given sequence is

-7, -4, -1, 2, 5

The difference between two consecutive terms is same, therefore the given sequence is an arithmetic sequence.

The first term of the given AP is -7 and the common difference is

-4-(-7)=-4+7=3

The explicit formula for an AP is

a_n=a+(n-1)d

Where, a is first term, d is common difference and n is number of terms.

Substitute a=-7 and d=3 in the above equation.

a_n=-7+(n-1)3

a_n=-7+3n-3

a_n=-10+3n

Therefore the explicit formula for the given expression is a_n=-10+3n.

6 0
3 years ago
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