For this case we must solve the following questions:
Question 1:
We should simplify the following expression:

Applying double C we have:

By definition of multiplication of powers of the same base we have to place the same base and add the exponents:
Canceling common terms:

Answer:
Option A
Question 2:
We should simplify the following expression:

So, we have:

Simplifying common terms:

Answer:
Option D
Question 3:
We factor the following expressions to rewrite the experience:
<em>
: </em>We look for two numbers that multiplied give 10 and added 7:

<em>
</em> We look for two numbers that multiplied give -50 and added -5:

<em>
</em>
Rewriting the given expression we have:

We simplify common terms in the numerator and denominator we have:

Answer:
Option D
Circumference=2pir=<span>2∗3.14∗5.1</span><span>=30.028=30.03.</span>
The single transformation from shape A to B is: dilate A by 1/2, followed by a 180 degrees rotation
<h3>How to determine the transformation?</h3>
From the figure, we have:
- Shape A is twice the size of shape B
- Both shapes can be rotated by 180 degrees in either direction to map onto the other, after dilation.
This means that:
The scale of dilation from shape A is:
k = 1/2
Hence, the single transformation from shape A to B is: dilate A by 1/2, followed by a 180 degrees rotation
Read more about transformations at:
brainly.com/question/11707700
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Answer:
230
Step-by-step explanation:
multiply 6,400 by 5% then multiply that by the 1 year and 230 will be the answer
Hope this helps :)
Answer:
$478.80
Step-by-step explanation:
We have been given that 15 players two coaches and 21 parents attend this year sports banquet the cost of each meal was $12 plus 5% sales tax.
First of all, we will find cost of each meal with tax as:




Now, we will find total persons at the sport banquet as:


To find the total cost of food for the banquet, we will multiply cost of food for each person by 38.


Therefore, the total cost of food for the banquet is $478.80.