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ANTONII [103]
3 years ago
12

Find the product. a^4(3a ^2 - 2a + 1)

Mathematics
1 answer:
Vikki [24]3 years ago
7 0

<span>                   a⁴(3a² - 2a + 1)

We just have to multiply each term inside the parentheses by  a⁴  .

           a⁴</span><span>(3a²        )  =  3a⁶
 
           a⁴</span><span>(    - 2a    )  =  -2a⁵
 
           a⁴</span><span>(            1)  =  a⁴

Now, just addum up :      3a⁶ - 2a⁵ + a⁴</span>


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Ted is making a bread recipe that uses three 1/4 cups of flour and a muffin recipe that uses 2 3/4 cups of flour eggs. How much
wlad13 [49]

Amount of flour used in bread recipe = 3 \frac{1}{4} cups

Amount of flour used in muffin recipe = 2 \frac{3}{4} cups

We have to determine how much more flour is in the recipe.

Since, more amount of flour is used in bread recipe than in muffin recipe.

Total amount of more flour = 3 \frac{1}{4} - 2 \frac{3}{4}

= \frac{13}{4} - \frac{11}{4}

= \frac{2}{4}

= \frac{1}{2}

Therefore, \frac{1}{2} more cup of flour is used in bread recipe than in muffin recipe.

Now, we will determine the total amount of flour used in both recipe.

Total amount of flour used in bread and muffin recipe

= 3 \frac{1}{4} + 2 \frac{3}{4}

= \frac{13}{4} + \frac{11}{4}

=\frac{24}{4}

= 6 cups

Therefore, total 6 cups of flour are used in both the recipes.

3 0
3 years ago
Five out of ten bags of candy had exactly 30 pieces in them. How many bags out of 40 should have exactly 30 pieces?​
mylen [45]

Answer:

20 bags should have 30 pieces in them.

Step-by-step explanation:

five out of ten is 1/2

then 1/2 of 40 is 20

therefore there should be twenty bags  with 30 pices each.

3 0
3 years ago
Evaluate the expression when x = 8 and y = 1.
Rzqust [24]
The answer should be 4.

First, simplify \frac{8}{2} to 4. Your problem should look like: 4 x 1. 
Second, multiply. 4 x 1 = 4 so that is your answer.

Also, 
to start the equation up, make sure to add in the numbers in replace for the letters. Your problem to start with should look like: \frac{8}{2(1)}.

6 0
3 years ago
Read 2 more answers
Find the 31st term of the following sequence.. . 9, 15, 21, .... . . 186. 189. 195. . . is there an easy way to do this.
Alja [10]
This problem is an example of an arithmetic series.

The common difference of the second term (15) with the first term (9) and the third term (21) with the second term (15) [15-9=6; 21-15=6] is 6.

The formula for solving this is:
An= A1 +(n-1)*d where An is the nth term, A1 is the first term, n is the number of terms and d is the common difference.

An=9+ (31-1)*6 = 189

The answer is 189.
7 0
3 years ago
Read 2 more answers
55% of 6th grade students voted in the student election. 440 sixth grade students voted in the student election. How many total
Ne4ueva [31]

Answer:

800. Here's why:

Step-by-step explanation:

This indicats that 440 students make up 55% of the 6th grade population. We can write this as

55/440.

We also know that 'x' total students make up 100% of the 6th-grade population, so we can write this as

100/x.

55/440 must be equal to 100/x. When cross multiplied, it becomes 50x=44000. If we divided each side by 50, we'll find that x=880. Therefore, there are 800 6th graders

8 0
2 years ago
Read 2 more answers
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