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zavuch27 [327]
3 years ago
5

Simplify the expression (6^2)^4.

Mathematics
2 answers:
Klio2033 [76]3 years ago
8 0

Answer:

1679616

17 (simplified)

Step-by-step explanation:

Apply the exponent rule (what exponents do)

(6^2)^4 = 6^2*4

= 6^2*4

Multiply the numbers: 2*4=8

=6^8

6^8 = 1679616

Vlada [557]3 years ago
7 0

Answer:

1679616

Step-by-step explanation:

36^4

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Answer: She should budget $672.89 monthly next year for this service.

Step-by-step explanation:

Since we have given that

Amount he was able to save per  month = $48.50

Total amount he spent for the year = $1254.89

Amount he saved for the year would be

48.50\times 12\\\\=\$582

Amount left from total would be

1254.89-582\\\\=\$672.89

Hence, She should budget $672.89 monthly next year for this service.

6 0
3 years ago
Write the fraction as a product of a whole number and a unit fraction.<br><br> 7/8
aleksklad [387]
The unit fraction of 7/8 is 1/8
7 0
3 years ago
A certain math teachers likes to keep a box of prizes to distribute to students. The math teacher likes to keep at least twice a
Law Incorporation [45]

Option C

Math teacher would need to buy 130 prizes

<em><u>Solution:</u></em>

Given that,

Math teacher currently has 109 students and the box has 88 prizes in it

The math teacher likes to keep at least twice as many prizes in the box as she has students

So, she wants the number of prizes to be twice the number of students

Therefore,

number of prizes = 2 x 109 students

number of prizes = 2 x 109 = 218 prizes

The box has 88 prizes in it

Therefore, number of prizes she would need to buy is:

⇒ 218 - 88 = 130

Thus she would need to buy 130 prizes

3 0
2 years ago
Sharon is conducting research on two species of birds at a bird sanctuary. The number of birds of species A is represented by th
e-lub [12.9K]

Answer: After 7 years the number of birds of species A and B are same. and the number of birds during that year will be 140.


Step-by-step explanation:

Given: Sharon is conducting research on two species of birds at a bird sanctuary.

The number of birds of species A is represented by the equation below,where S represents the number of birds, x years after beginning her research.

S=2^x+12

The number of birds of species B is represented by the equation below,where S represents the number of birds, x years after beginning her research.

S=15x+35

To plot the above function, first find points by which they are passing.

For species A, At x=0 , S=1+12=13

At x=2 , S=2+12=14

Similarly find more points and plot curve on graph.

For species A, At x=0 , S=0+35=35

At x=2 , S=15+35=50

Plot a line with the help of these two points.

Now, from the graph the intersection of curve (for A) and line (for B) is at (7,140) which tells that After 7 years the number of birds of species A and B are same. and the number of birds during that year will be 140.



8 0
3 years ago
Read 2 more answers
Write the standard form of the line that passes through the given points. Include your work in your final answer. Type your answ
Nata [24]

Answer: 5x-3y=44

Step-by-step explanation:

We know that , the equation of a line that passes through (a,b) and (c,d) is given by :_

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Standard form of equation of line = Ax+By=C

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Then, the equation of a line that passes through the points . (7, -3) and (4, -8) is given by -

(y-(-3))=\dfrac{-8-(-3)}{4-7}(x-7)

(y+3)=\dfrac{-8+3}{-3}(x-7)   [∵ (-)(-)=(+)]

(y+3)=\dfrac{-5}{-3}(x-7)

(y+3)=\dfrac{5}{3}(x-7)

3(y+3)=5(x-7)

3y+9=5x-35

9+35=5x-3y

44=5x-3y

Or 5x-3y=44

Hence, the required equation :-5x-3y=44

4 0
3 years ago
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