All categories

3 years ago

Find the product.

Mathematics

2 answers:

Serhud [2]3 years ago

7 0

Answer:

Im thinking all of the spots are 2 because of distributive property

Step-by-step explanation:

Otrada [13]3 years ago

5 0

Answer:

The fill in the blanks are :

-a 3 b 2 c 2 - a 2 b 3 c 2 + a 2 b 2 c 3

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 3 b 2 c 2 - a 2 b 3 c 2 + a 2 b 2 c 3

You might be interested in

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:

- 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:

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