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lora16 [44]
3 years ago
10

Quick Question! Please help!

Mathematics
2 answers:
alisha [4.7K]3 years ago
6 0

When the power on a variable inside the bracket becomes the same the powers are added.

Have a look at the attachment.

8090 [49]3 years ago
3 0

Answer:

C --- b^16

Step-by-step explanation:

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In 2002, Tim was twice as old as Sue. In 1997 the sum of their ages was 32. In what year will Sue's age be three-fourths Tim's a
xxMikexx [17]

Answer:

Year 2030.

Step-by-step explanation

In 1997, Let Tim's age = <em>X</em> years

In 1997, Let Sue's age = <em>Y</em> years

After 5 years in 2002, Tim's age = (<em>X+ 5) </em>years

After 5 years in 2002, Sue's age = <em>(Y + 5)</em> years

Now, According to question,

<em>X </em>+ <em>Y</em> = 32    (sum of their ages) .......(1)

<em>Y </em>= 32 -<em> X</em>

(X + 5) = 2 (Y + 5) .......(2)

Substituting the value of <em>Y</em> in (2)

<em>X </em>+ 5 = 2 (32 - <em>X </em>+ 5)

<em>X </em>+ 5 = 2 (37 - <em>X </em>)

<em>X </em>+ 5 = 74 - 2<em>X </em>

3<em>X </em>=<em> </em>69

<em>X </em>= 69/3 = 23

Now ∵<em> Y</em> = 32 - <em>X  </em>and<em> X = </em>23

∴ <em>Y</em> = 32 - 23 = 9

So, In 1997, Tim's age = 23 years and Sue's age = 9 years.

Let the year in which Sue's age will be three-fourth times of Tim's age be t.

Sue's age after<em> t </em>years = (9 +<em> t) </em>years.

Tim's age after<em> t</em> years = (23 + <em>t</em>) years

According to question,

(9 + t) = \frac{3}{4} \times(23 + t)

4 (9 + t) = 3 (23 + t)

36 + 4t = 69 + 3t

<em>4t - 3t = 69 - 36</em>

<em>t = 33</em>

The Year in which Sue's age will be three-fourth times of Tim's age is:

= (1997 + 33) = 2030.

4 0
4 years ago
Create a function with a domain of all real numbers and the range all real numbers that are greater than or equal to zero. Provi
Elena L [17]
<h2>Explanation:</h2><h2></h2>

Any polynomial function has the domain of all real numbers. So here we'll choose a polynomial function in order to illustrate this problem. So any polynomial of the form:

f(x)=a(x+h)^n \\ \\ \\ For: \\ \\ a>0 \\ \\ n \ even \\ \\ h \ any \ constant

meets our requirements. Therefore, if we set:

a=1 \\ \\ n=2 \\ \\ h=3

Then, we'll have:

  • A domain of all real numbers and the range all real numbers that are greater than or equal to zero.

This is shown graphically in the figure below.

6 0
3 years ago
(3.0*10^6)(2.5*10^5) equals what
alekssr [168]

The answer is 750000000000

7 0
4 years ago
Read 2 more answers
Missy bought 7 pairs of socks for $2.85 a
Sloan [31]

Answer: 17.7 Step-by-step explanation: There are 7 pairs of socks, and each cost $2.85. Multiply 2.85 with 7, and they add up to 19.95. The coupon takes off 2.25, therefore leaving the answer as 17.7.

5 0
4 years ago
One section in the auditorium has 59 rows
diamong [38]
2,242
Because if there are 59 rows of seats in that section and 38 seats in each row you would do 59x38
8 0
3 years ago
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