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marysya [2.9K]
3 years ago
5

Find the product.

Mathematics
2 answers:
Serhud [2]3 years ago
7 0

Answer:

Im thinking all of the spots are <u><em>2</em></u> because of <u><em>distributive property</em></u>

Step-by-step explanation:


Otrada [13]3 years ago
5 0

Answer:

The fill in the blanks are :

-a <u>3</u> b <u>2</u> c <u>2</u> - a <u>2</u> b <u>3</u> c <u>2</u> + a <u>2</u> b <u>2</u> c <u>3</u>

Step-by-step explanation:

The required product can be find out by using the Distributive law of multiplication over addition.

Now the given expression is :  -a²b²c²·(a + b - c)

Distributing -a²b²c² over addition inside the bracket, We get,

= -a²b²c² × a - a²b²c² × b - a²b²c² × -c

= -a³b²c² - a²b³c² + a²b²c³ ( product of negative and negative is positive)

Therefore, the required product is :

-a²b²c²·(a + b - c) = -a³b²c² - a²b³c² + a²b²c³

Hence, the fill in the blanks are :

-a <u>3</u> b <u>2</u> c <u>2</u> - a <u>2</u> b <u>3</u> c <u>2</u> + a <u>2</u> b <u>2</u> c <u>3</u>

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Postal regulations specify that a parcel sent by priority mail may have a combined length and girth of no more than 144 in. Find
mr Goodwill [35]

Answer:

The volume in such a package is 27648 in³

Step-by-step explanation:

Consider the provided information.

Postal regulations specify that a parcel sent by priority mail may have a combined length and girth of no more than 144 in.

Let the dimension are x by x by y.

Where x is the variable for the square base package and y is the variable for length.

Thus l=x, b=x and h=y

Then the volume of the box is: V(x)=x^2y (∵V=lbh)

The maximum combined length and girth is 144.

Therefore, 4x+y=144

y=144-4x

Substitute the value of y in volume of the box.

V(x)=x^2(144-4x)

V(x)=144x^2-4x^3

V'(x)=288x-12x^2

Substitute V'(x)=0.

0=288x-12x^2

12x(24-x)=0

x=0\ or\ x=24

Now apply second derivative test.

V''(x)=288-24x

V''(0)=288-24(0)>0 (Min)

V''(24)=288-24(24) (Max)

Hence, the maximum volume is at x=24

If x=24 then y=144-4(24)=48

Substituting value of x = 24 and y = 48 V(x)=x^2y gives 27648.

Hence, the volume in such a package is 27648 in³

5 0
3 years ago
There are 2.54 centimeters in 1 inch. If a pencil is 18 cm long, how many inches is it? Round to the nearest whole number.
kupik [55]

Answer:

7 Inches

Explanation:

  • 2.54 Cm. In One Inch.
  • Pencil Is 18 Cm Long

Divide:

18 ÷ 2.54 = 7.08661417323

Round:

7

- PNW

5 0
3 years ago
Bruce has a rope that is 21 feet long he needs to cut the rope into 1/5 long peices. How many strips can Bruce cut from his rope
dybincka [34]

Bruce has a rope that is 21 feet long he needs to cut the rope into 1/5 long pieces.

The length of the rope = 21 feet

the length of each strip = \frac{1}{5}

We need to cut the rope 21 feet into \frac{1}{5} strips

To find the number of strips we divide 21 feet by the length of the strip

\frac{21}{\frac{1}{5}} = 21 * \frac{5}{1} = 105

105 strips can Bruce cut from his rope.

7 0
3 years ago
Read 2 more answers
8x(11-4) divided by 2
sladkih [1.3K]

Answer:

28

Step-by-step explanation:

First, you start with 11-4, which equals 7.

Then, you multiply 7x8 which equals 56.

Lastly, you divided 56 by 2, getting 28.

7 0
3 years ago
Read 2 more answers
How many models does the following set have? 5,5,5,7,8,12,12,12,150,150,150
Strike441 [17]
<h3>Answer:  3 modes</h3>

The three modes are 5, 12, and 150 since they occur the most times and they tie one another in being the most frequent (each occurring 3 times).

Only the 7 and 8 occur once each, and aren't modes. Everything else is a mode. It's possible to have more than one mode and often we represent this as a set. So we'd say the mode is {5, 12, 150} where the order doesn't matter.

4 0
3 years ago
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