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Lana71 [14]
3 years ago
9

There are four students and a lecturer for a photography session. Determine the number of ways the people can be arranged such t

hat the lecturer stands in the middle.
Mathematics
1 answer:
steposvetlana [31]3 years ago
5 0

Answer:

24 ways

Step-by-step explanation:

Given that

Number of students = 4

Lecturer have to stand in the middle position.

We have five places in which middle place is for lecturer,now we have four places and we have to arrange four students on that four places.So there will 4! ways to arrange those students.

4!= 4 x 3 x 2 x 1

4! =24

So we have 24 ways to arrange 4 students and one lecturer .

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Plz help me -3x-4(4x-8)=3(-8x-1)
bogdanovich [222]

━━━━━━━☆☆━━━━━━━

▹ Answer

<em>x = -7</em>

▹ Step-by-Step Explanation

-3x - 4(4x - 8) = 3(-8x - 1)

<u>Distribute</u>

-3x - 16x + 32 = -24x - 3

<u>Collect like terms</u>

-19x + 32 = -24x - 3

<u>Move variable to the left and change the sign</u>

-19x + 24x + 32 = -3

<u>Collect like terms</u>

5x = -3 - 32

<u>Calculate</u>

5x = -35

<u>Final Answer</u>

x = -7

Hope this helps!

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7 0
3 years ago
What is the quotient written in scientific notation? 6 x 10^24 /8 x 10^8
Artist 52 [7]

When you divide 6x10^24 by 8x10^8 you end up with \frac{6}{8} x10^{16}

This simplifies to 0.75x10^{16}

Now this number is not written in scientific notation as it does not have its first digit before the decimal, so we must move the decimal of this one to the right.

To do that you must multiply the number by 10.

This means that the exponet of 10 must decrease by 1.

This makes the answer 7.5x10^{15}

6 0
3 years ago
Read 2 more answers
Attachment below <br> algebra helppppp
yKpoI14uk [10]

Answer: second option.

Step-by-step explanation:

In order to solve this exercise, it is necessary to remember the following properties of logarithms:

1)\ ln(p)^m=m*ln(p)\\\\2)\ ln(e)=1

In this case you have the following inequality:

e^x>14

So you need to solve for the variable "x".

The steps to do it are below:

1. You need to apply ln to both sides of the inequality:

ln(e)^x>ln(14)

2. Now you must apply the properties shown before:

(x)ln(e)>ln(14)\\\\(x)(1)>2.63906\\\\x>2.63906

3. Then, rounding to the nearest ten-thousandth, you get:

x>2.6391

3 0
2 years ago
Enter the value of p so the expression 5/6-1/3nis equivalent to p(5-2n).
SIZIF [17.4K]
Take LCD of 6 and 3 = 6 is the lcm
5/6 -2/6n 
(5-2n)/6.

Now, what number can be multiplied to the right side of the equal sign to get the value of P

The answer is 1/6 as the left side is divided by 6, so multiply the right side by 1/6 to make it equivalent.
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3 years ago
How many times will22 go into 988?
iren2701 [21]
22 gose into 988 8 times 
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2 years ago
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