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3 years ago

Simplify the following expression as much as possible. 4^10/4^10 x 7^0=?

Mathematics

2 answers:

kap26 [50]3 years ago

8 0

Answer:

Step-by-step explanation:

4^10/4^10 x 7^0 =

= 4^(10 - 10) * 1

= 4^0 * 1

= 1 * 1

= 1

vova2212 [387]3 years ago

8 0

Step-by-step explanation:

divide 4 to the tenth with 4 to the tenth first

the multiply it with 7 to the zero.

( 0 as an exponent is one)

ANSWER: 1

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Answer the questions below about Line 1 and Line 2 shown below.

givi [52]

The expression was rewritten using the commutative law of addition.
Line 1 says 3 + 4, which could be represented using dots as ••• + •••• for a total of 7 dots.
Line 2 says 4 + 3, which could be represented using dots as •••• + ••• for a total of 7 dots.

<h3>What is the commutative law of addition?</h3>

The commutative law of addition is also referred to as the law of cumulative addition and it states that if two numbers are added together, then, the outcome is equal to the addition of their interchanged position because addition is considered as a binary operation.

This ultimately implies that, the sum of addends would always be the same (equal) regardless of their arrangement in accordance with the commutative law of addition. Mathematically, the commutative law of addition can be represented using the following formula:

A + B = B + A.

In this context, we can reasonably infer and logically deduce that the given expression was rewritten using the commutative law of addition.

In conclusion, Line 1 says 3 + 4, which could be represented using dots as ••• + •••• for a total of 7 dots. Line 2 says 4 + 3, which could be represented using dots as •••• + ••• for a total of 7 dots.

Read more on commutative law of addition here: brainly.com/question/778086

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6 0

1 year ago

How do you find the hypotenuse if you have 2 side lengths one is 40 m and the other is 5 cm ?

Svet_ta [14]

Answer:

40.3 m

Step-by-step explanation:

a²+b²=c²

40²+5²=c²

1600+25= 1625

√1625 = 40.3112

8 0

3 years ago

What are the exact solutions of x^2 = 5x + 2?

aleksandrvk [35]

Move everybody to one side
minus 5x+2 both sides
x^2-5x-2=0
use quadratic formula where
if you have
ax^2+bx+c=0
x= $\frac{-b+/- \sqrt{b^{2}-4ac} }{2a}$

1x^2-5x-2=0
a=1
b=-5
c=-2

x= $\frac{-(-5)+/- \sqrt{(-5)^{2}-4(1)(-2)} }{2(1)}$
x= $\frac{5+/- \sqrt{25+8} }{2}$
x= $\frac{5+/- \sqrt{33} }{2}$

aprox
x=5.372281323 or -0.3722813233

5 0

3 years ago

A theatre group sold a total of 440 tickets for a show, making a total of $3940. Each regular ticket cost $5, each premium ticke

valentina_108 [34]

Answer: 330 regular tickets, 46 premium tickets and 64 elite tickets were sold.

Step-by-step explanation:

Let x represent the number of regular tickets that were sold.

Let y represent the number of premium tickets that were sold.

Let z represent the number of elite tickets that were sold.

The theatre group sold a total of 440 tickets for the show. It means that

x + y + z = 440- - - - - - - - - -1

Each regular ticket cost $5, each premium ticket cost $15, and each elite ticket cost $25. The total amount made from the show was $3940. It means that

5x + 15y + 25z = 3940- - - - - - - - - 2

The number of regular tickets was three times the number of premium and elite tickets combined. It means that

x = 3(y + z)

x = 3y + 3z

Substituting x = 3y + 3z into equation 1 and equation 2, it becomes

3y + 3z + y + z = 440

4y + 4z = 440- - - - - - - - - - - - -3

5(3y + 3z) + 15y + 25z = 3940

15y + 15z + 15y + 25z = 3940

30y + 40z = 3940 - - - - - - - - - - 4

Multiplying equation 3 by 10 and equation 4 by 1, it becomes

40y + 40z = 4400

30y + 40z = 3940

Subtracting, it becomes

10y = 460

y = 460/10

y = 46

Substituting y = 46 into equation 3, it becomes

4 × 46 + 4z = 440

184 + 4z = 440

4z = 440 - 184

4z = 256

z = 256/4

z = 64

x = 3(y + z) = 3(46 + 64)

x = 330

4 0

3 years ago

Which shows the use of a credit card

kotykmax [81]

C is what you do when credit cards are involved.

7 0

3 years ago