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atroni [7]
3 years ago
14

Simplify 2^-6 times 2^3

Mathematics
2 answers:
MAVERICK [17]3 years ago
5 0

Answer:

0.125

Step-by-step explanation:

(2^{-6})(2^{3})\\

(2^{-6})=(\frac{1}{2^{6}} )=(\frac{1}{(2)(2)(2)(2)(2)(2)})=\frac{1}{64}=0.015625

(2^{3})=((2)(2)(2))=8

(0.015625)(8)=0.125

IgorC [24]3 years ago
3 0

Answer:

(2^-6)*(2^3)

=2^(-6+3)

=2^-3

=1/(2^3)

=1/8

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Discuss the different kinds of real numbers. In your answer
zubka84 [21]

Answer:

Real numbers are mainly classified into rational and irrational numbers. Rational numbers include all integers and fractions. All negative integers and whole numbers make up the set of integers. Whole numbers comprise of all natural numbers and zero.

Step-by-step explanation:

5 0
3 years ago
A piggy bank contains pennies, nickels, and dimes. The number of dimes is 15 more than the number of nickels, and there are 140
amm1812

Answer:

Option D is correct.

There are 34 nickels in the piggy bank.

Step-by-step explanation:

A piggy bank contains pennies, nickels and dimes.

Let the number of pennies be p

Let the number of nickels be n

Let the number of dimes be d

Also, note that 1 penny = $0.01

1 nickel = $0.05

1 dime = $0.10

- The number of dimes is 15 more than the number of nickels.

d = 15 + n

- There are 140 coins altogether totaling $7.17.

p + n + d = 140

0.01p + 0.05n + 0.1d = 7.17

Bringing the 3 equations together

d = 15 + n (eqn 1)

p + n + d = 140 (eqn 2)

0.01p + 0.05n + 0.1d = 7.17 (eqn 3)

Substitute (eqn 1) into (eqn 2)

p + n + d = 140

p + n + (15 + n) = 140

p + 2n + 15 = 140

p = 140 - 15 - 2n = 125 - 2n

p = 125 - 2n (eqn 4)

Substitute (eqn 1) and (eqn 4) into (eqn 3)

0.01p + 0.05n + 0.1d = 7.17

0.01(125 - 2n) + 0.05n + 0.1(15 + n) = 71.7

1.25 - 0.02n + 0.05n + 1.5 + 0.1n = 7.17

0.1n + 0.05n - 0.02n + 1.5 + 1.25 = 7.17

0.13n + 2.75 = 7.17

0.13n = 7.17 - 2.75 = 4.42

0.13n = 4.42

n = (4.42/0.13) = 34

d = 15 + n = 15 + 34 = 49

p = 125 -2n = 125 - (2×34) = 125 - 68 = 57

Hence, there are 57 pennies, 34 nickels and 49 dimes in the piggy bank.

Hope this Helps!!!

7 0
3 years ago
How to do fractions Equations multiplication and division
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Add subtraction multiplication and division
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3 years ago
Read 2 more answers
ms anderson bought 45 baseball hats. Mets hats cost $18 and Yankee hats cost $24. If she spent $1050, how many of each did she b
DerKrebs [107]
First, you have to set up two equations. X + y = 45 18x + 24y = 1,050 To do this, you have to solve for an exponent by cancelling out the other one. To solve for y, you multiply everything in the first equation by -18. -18x -18y = -810 This cancels out the x and leaves you with 6y = 240. Divide both sides by 6 and you have the number of Yankee hats that were bought. Then, you have to substitute 40 for y in the first equation and solve for x.
5 0
3 years ago
Identify an equation in point-slope form for the line perpendicular to y = 1/4 that passes through (-2, -6)
abruzzese [7]

Perpendicular lines, slope is opposite and reciprocal

so slope of new line = - 4

passes through (-2, -6) in point-slope form

y + 6 = -4(x + 2)

Answer is C. y + 6 = -4 (x + 2)

4 0
3 years ago
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