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Nitella [24]
3 years ago
12

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the corre

ct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Use the definitions and theorems of this section to evaluate and simplify the following expression. Be sure to express answers with positive exponents.

(b^4)2
Mathematics
1 answer:
aniked [119]3 years ago
3 0

Answer:

(b^4)^2 = b^{8}

Step-by-step explanation:

Given

(b^4)^2

Required

Simplify

In indices, we have:

(a^m)^n = a^{m*n

So:

(b^4)^2 = b^{4*2}

(b^4)^2 = b^{8}

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On babylonian tablet ybc 4652, a problem is given that translates to this equation: x (x/7) (1/11) (x (x/7)) = 60 what is the so
Yanka [14]
Thanks for posting your question here. The answer to the above problem is x = <span>48.125. Below is the solution:
</span>
 x+x/7+1/11(x+x/7)=60 
x = x/1 = x • 7/7
x <span>• 7 + x/ 7 = 8x/7 - 60 = 0
</span>x + x/7 + 1/11 <span>• 8x/7 - 60 = 0
</span>8x <span>• 11 + 8x/ 77 = 96x/ 77
</span>96x - 4620 = 12 <span>• (8x-385)
</span>8x - 385 = 0
x = 48.125


5 0
3 years ago
Read 2 more answers
How do I turn this equation into standard form?<br> 8x=-5y+3
NARA [144]

Answer:

Step-by-step explanation:

To write a linear equation in standard form, move each variable term to the left side of the equation and simplify.

Ax+By=C

Since x is on the right side of the equation, switch the sides so it is on the left side of the equation.

8x−3=y

Move y to the left side of the equation because it contains a variable.

8x−3−y=0

Move 3 to the right side of the equation because it does not contain a variable.

8x−y=3

8 0
2 years ago
Kayden is buying bagels for a family gathering. Each bagel costs $1.50. Answer the questions below regarding the relationship be
Anna11 [10]

Answer:

y= $1.50x

Step-by-step explanation:

Each bagel is $1.50,therefore for each family member(x) the amount increaes by the same rate

4 0
3 years ago
Given the equation 3x - 4y = 8, which equation below would cause a consistent-dependent system?
Len [333]
3x - 4y = 8

y = mx + b ; m is the slope ; b is the y-intercept

-4y = -3x + 8
y = -3x/-4 + 8/-4
<u>y = 3/4 x - 2</u>

Need to check if the given choices have the same slope.

3x + 4y = -8
4y = -3x - 8
y = -3/4 x - 8/4 = -3/4 x - 2

6x - 8y = 12
-8y = -6x  + 12
y = -6/-8 x + 12/-8
y = 3/4 x - 1 1/2

9x - 12y = 24   This equation would cause a consistent-dependent system
-12y = -9x + 24
y = -9/-12 x + 24/-12
<u>y = 3/4 x - 2</u>  

16x + 12y = -10
12y = -16x - 10
y = -16/12 x - 10/12
y = -1 1/3 x - 5/6

4 0
3 years ago
Read 2 more answers
An exceptionally bright high school student has applied for two scholarships: a merit scholarship and an athletic scholarship. H
9966 [12]

Answer:

a) 0.70

b) 0.82

Step-by-step explanation:

a)

Let M be the event that student get merit scholarship and A be the event that student get athletic scholarship.

P(M)=0.3

P(A)=0.6

P(M∩A)=0.08

P(not getting merit scholarships)=P(M')=?

P(not getting merit scholarships)=1-P(M)

P(not getting merit scholarships)=1-0.3

P(not getting merit scholarships)=0.7

The probability that student not get the merit scholarship is 70%.

b)

P(getting at least one of two scholarships)=P(M or A)=P(M∪A)

P(getting at least one of two scholarships)=P(M)+P(A)-P(M∩A)

P(getting at least one of two scholarships)=0.3+0.6-0.08

P(getting at least one of two scholarships)=0.9-0.08

P(getting at least one of two scholarships)=0.82

The probability that student gets at least one of two scholarships is 82%.

4 0
3 years ago
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