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3 years ago

Find the product of 2r^2(6r^3+14r^2-30r+14)

Mathematics

2 answers:

steposvetlana [31]3 years ago

8 0

Answer: 2r2(6r3+14r2−30r+14)

Step-by-step explanation:

Apply the distributive property

2r2(6r3)+2r2(14r2)+2r2(−30r)+2r2⋅14

Simplify

2⋅6(r2r3)+2⋅14(r2r2)+2⋅−30(r2r)+28r2

Simplify each term

12r5+28r4−60r3+28r2

mylen [45]3 years ago

6 0

Answer:

12 $r^{5}$ + 28 $r^{4}$ - 60 r³ + 28 r²

Step-by-step explanation:

a(b ± c) = ab ± ac (distributive property)

$a^{m} * a^{n} = a^{m+n}$

2r²(6r³ + 14r² - 30r + 14) = 12  $r^{5}$  + 28  $r^{4}$  - 60 r³ + 28 r²

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17) Tony is retiring after 40 years and will receive a monthly pension of $1400

dusya [7]

Add the two monthly incomes together:

1400 + 1100 = 2500 a month.

There are 12 months in a year, multiply the monthly income by 12:

2500 * 12 = $30,000 per year.

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3 years ago

Read 2 more answers

Determine the constant of Proportionality in the situation below

9966 [12]

a constant of proportionality is a number you have to multiply x by to get y.

y=kx is the equation that expresses the proportionality of x and y

in this case, 10 video games cost $145

the question's basically asking what you have to multiply 10 by to get 145

y= 145; x=10

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3 years ago

Which equation is it? plz help

zvonat [6]

Answer:

In the pic

Step-by-step explanation:

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3 years ago

2. A two-stage rocket is in development. The required probability is for the overall rocket to be a minimum of 97% reliable for

ikadub [295]

Answer: The minimum reliability for the second stage be 0.979.

Step-by-step explanation:

Since we have given that

Probability for the overall rocket reliable for a successful mission = 97%

Probability for the first stage = 99%

We need to find the minimum reliability for the second stage :

So, it becomes:

P(overall reliability) = P(first stage ) × P(second stage)

$0.97=0.99\times x\\\\\dfrac{0.97}{0.99}=x\\\\0.979=x$

Hence, the minimum reliability for the second stage be 0.979.

4 0

3 years ago

Use the diagram to answer the question

koban [17]

Answer:

$m\angle EFG=52^{o}$

Step-by-step explanation:

We have been given that line m is parallel to line p, $m\angle HEF=39^{o}$ and $m\angle IGF=13^{o}$ .

Since line m is parallel to line p and EJ is a transversal, so measure of angle EJG will be 39 degrees as angle EJG is alternate interior angle of angle HEF. Both angles are inside parallel lines m and p and on opposite side of transversal EJ.

We can see that angle EFG is exterior angle of triangle GFJ. Since the measure of an exterior angle of a triangle equals to the sum of the opposite interior angles.

We can see that angle IGF and angle EJG are opposite interior angles of angle EFG.

$m\angle EFG=m\angle IGF+m\angle EJG$

Upon substituting our given values we will get,

$m\angle EFG=13^{o}+39^{o}$

$m\angle EFG=52^{o}$

Therefore, measure of angle EFG is 52 degrees.

3 0

3 years ago