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kotykmax [81]
3 years ago
7

(3a^4b)(5ab^2)-(a^5b^2)(9b)

Mathematics
1 answer:
Sliva [168]3 years ago
5 0

Answer:

The expanded value of the given expression is

(3a^4b)(5ab^2)-(a^5b^2)(9b)=6a^5b^3

Step-by-step explanation:

Given expression is                                                                              

(3a^4b)(5ab^2)-(a^5b^2)(9b)

To find the value of the given expression:

(3a^4b)(5ab^2)-(a^5b^2)(9b)=15a^5b^3-9a^5b^3

(By multiplying the products and doing algebraci subtracion of the above expression)

Now taking the common terms in the above equation we get

(3a^4b)(5ab^2)-(a^5b^2)(9b)=3a^5b^3(5-3)

                                             =3a^5b^3(2)

                                             =6a^5b^3

Therefore the expanded value of the given expression is

(3a^4b)(5ab^2)-(a^5b^2)(9b)=6a^5b^3

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A jogger goes 1.5km west and then turns south.If the jogger finishes 1.7 km from the starting point,how far south did the jogger
kakasveta [241]
Hello!

You can use the Pythagorean Theorem to solve this

a^{2} + b^{2} = c^{2}

c is the hypotenuse
a and b are the legs

Put in the values you know

1.5^{2} + b^{2} = 1.7^{2}

Square the numbers

2.25+ b^{2} =2.89

Subtract 2.25 from both sides

b^{2} =0.64

Take the square root of both sides

b = 0.8

The answer is 0.8km

Hope this helps!
6 0
3 years ago
In the following exercises, multiply the binomials. Use any method.<br> 248. (m + 11)(m − 4)
romanna [79]

Answer:

Hence the expression $$(m+11)(m-4)=m^2+7m-44$$

Step-by-step explanation:

Explanation

  • The given expression is (m+11)(m-4).
  • We have to multiply the given expression.
  • Multiply the (m+11) by -4, multiply the (m+11) by m then add like terms.

$$\frac{\begin{matrix}{} & {} & m & + & 11 \\ \times & {} & m & - & 4 \\ \end{matrix}}

_____________

{\frac{\begin{matrix}{} & - & 4m & - & 44 \\ {{m}^2} & + & 11m & {} & {} \\ \end{matrix}}{\begin{matrix}{{m}^2} & + & 7m & - & 44 \\ \end{matrix}}}$$

6 0
2 years ago
Mike can plow a field in 12 hours and his brother Phil can plow it in 15 hours. How long will it take them to plow it if they us
Korvikt [17]

Answer:

6.66 hours, that is, 6 hours and 40 minutes.

Step-by-step explanation:

If Mike can plow a field in 12 hours, we plows 1/12 of the field each hour.

If Phil can plow a field in 15 hours, we plows 1/15 of the field each hour.

So if they are working together, they can plow (1/12) + (1/15) of the field each hour, that is:

(1/12) + (1/15) = (5 + 4) / 60 = 9 / 60 = 3 / 20 = 1 / 6.66

So if they work together, they can plow the field in 6.66 hours, that is, 6 hours and 40 minutes.

5 0
3 years ago
Needs help answering
Savatey [412]

Answer:

b = 100°

c = 30°

Step-by-step explanation:

b = 100° bc the two angles are supplementary, that is, together they form a straight angle and add up to 180°.

c = 30°

because a + b + c = 180. There's 180° in a triangle.

7 0
3 years ago
In a recent survey, 8 people were each asked the number of times they have been on an airplane. Here is a list of the responses.
ohaa [14]

Answer:

17

Step-by-step explanation:

Range is the difference of the highest and lowest number in the data set

5 0
3 years ago
Read 2 more answers
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