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olga nikolaevna [1]
3 years ago
15

Simplify (2a^3) (5a^4)

Mathematics
2 answers:
Contact [7]3 years ago
8 0
(2a^3)(5a^4)
With this, you multiply the coefficients first, (2)(5)=10
Then when you multiply the variables, you add the exponents, (a^3)(a^4)=(a^(^3^+^4^))=a^7

So you would end up with: 10a^7
Leviafan [203]3 years ago
3 0

Answer: 10a^{7}

Step-by-step explanation: Think of this problem of having two parts. The coefficients 2 and 5 and the powers a^{4} and a^{7}. To multiply these two terms together, simply multiply their coefficients and we have to add the exponents because we are multiplying powers.

2 × 5 = 10

a^{3} × a^{7} = a^{10}

Therefore, our answer is 10a^{7}.

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In a teacher's math course, a linear regression line was calculated to predict
Marat540 [252]

The given equation is the best line that approximates the linear

relationship between the midterm score and the score in the final exam.

  • AJ's residual is 0.3, which is not among the given options, therefore, the correct option is. <u>E. None of these</u>.

Reasons:

The given linear regression line equation is; \hat y = 25.5 + 0.82·\mathbf{\hat x}

Where;

\hat y = Final exam score;

\hat x = The midterm score;

AJ score in the first test, \hat x = 90

AJ's actual score in the exam = 99

Required:

The value of AJ's residual

Solution:

By using the regression line equation, we have;

The predicted exam score, \hat y = 25.5 + 0.82 × 90 = 99.3

  • The residual score = Predicted score - Actual score

∴ AJ's residual = 99.3 - 99 = 0.3

AJ's residual = 0.3

Therefore, the correct option is option E;

  • <u>E. None of these</u>

Learn more about regression line equation here:

brainly.com/question/9339658

brainly.com/question/7361586

brainly.com/question/14747095

6 0
3 years ago
Find the product.<br><br> a^4(3a ^2 - 2a + 1)
Vikki [24]

<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>


7 0
3 years ago
What's the answer for 4a - 13=19
pashok25 [27]
4a-13=19  add 13 to both sides
4a=32     divide by 4 on both sides
a=8

5 0
3 years ago
Find a polynomial function of degree 3 with 2, i, -i as zeros.
sergiy2304 [10]

Answer:

p(x)= x^3-2x^2+x-2

Step-by-step explanation:

Here we are given that a polynomial has zeros as 2 , i and -i . We need to find out the cubic polynomial . In general we know that if \alpha , \ \beta \ \& \ \gamma are the zeros of the cubic polynomial , then ,

\sf \longrightarrow p(x)= (x -\alpha )(x-\beta)(x-\gamma)

Here in place of the Greek letters , substitute 2,i and -i , we get ,

\sf\longrightarrow p(x)= (x -2 )(x-i)(x+i)

Now multiply (x-i) and (x+i ) using the identity (a+b)(a-b)=a² - b² , we have ,

\sf  \longrightarrow p(x)= (x-2)\{ x^2 - (i)^2\}

Simplify using i = √-1 ,

\sf \longrightarrow p(x)= (x-2)( x^2 + 1 )

Multiply by distribution ,

\sf \longrightarrow p(x)= x(x^2+1) -2(x^2+1)

Simplify by opening the brackets ,

\sf\longrightarrow p(x)= x^3+x-2x^2-2

Rearrange ,

\sf\longrightarrow \underline{\boxed{\blue{\sf p(x)= x^3-2x^2+x-2}}}

4 0
2 years ago
If right I’ll mark brainlest
zubka84 [21]

Answer:

154m^2

Step-by-step explanation:

I hope this helps.

4 0
3 years ago
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