All categories

2 years ago

Express the area of a rectangle with length 2c^3d^2 and width 9d^7 as a monomial

Mathematics

1 answer:

givi [52]2 years ago

5 0

Answer:

The expression of the area as a monomial is 18c^7d^9

Step-by-step explanation:

In algebra, when we talk about the term monomial, we are simply referring to an algebraic expression that contains only a single term.

Now in this question, we have the value of the length and the width but we are interested in turning them to a monomial which is a single term.

Mathematically, the area of rectangle can be calculated using the formula L * W , where l is the length and w is the width.

Thus, we have ;

2c^3d^2 * 9d^7

= 18c^7d^(2+7)

= 18c^7d^9

You might be interested in

I need some helpppppppppppppp

kati45 [8]

The answer is 0.65x+1.75=10

8 0

2 years ago

Read 2 more answers

The sum of three consecutive odd numbers is 93. What is the smallest of three numbers ?

Julli [10]

Answer:

Step-by-step explanation: it doesn't matter if it says even or odd it's the same formula

Because think if you start with 1 to get 3 you add 2

If you start with 2 to get the next even number you add 2

So it's X+ (X+2)+ (X+4)=93

X is the first # X+2 is the next # X+4 is the 3rd number if you want to check add the numbers to make sure they add up to 93

The smallest of course is X

4 0

2 years ago

There are three executives in an office, ages 56, 57, and 58. If a 57-year-old executive enters the room, the

vova2212 [387]

Answer:

option (c) The mean age will stay the same but the variance will decrease

Step-by-step explanation:

Case I: For 3 executives of ages 56, 57 and 58

Number of executives, n = 3

Mean = $\frac{\textup{56 + 57 + 58 }}{\textup{3}}$

Mean = 57

Variance = $\frac{\sum{(Data - Mean)^2}}{\textup{n-1}}$

Variance = $\frac{(56 - 57)^2+(57-57)^2+(58-57)^2}{\textup{3-1}}$

Variance = $\frac{1+0+1}{\textup{2}}$

Variance = 1

For Case II: For 4 executives of ages 56, 57, 58 and 57

Number of executives, n = 4

Mean = $\frac{\textup{56 + 57 + 58 + 57 }}{\textup{4}}$

Mean = 57

Variance = $\frac{\sum{(Data - Mean)^2}}{\textup{n-1}}$

Variance = $\frac{(56 - 57)^2+(57-57)^2+(58-57)^2+(57-57)^2}{\textup{4-1}}$

Variance = $\frac{1+0+1+0}{\textup{3}}$

Variance = 0.67

Hence,

Mean will remain the same and the variance will decrease

Hence,

The correct answer is option (c) The mean age will stay the same but the variance will decrease

3 0

2 years ago

What is the volume of a cone that has a radius of 4 units and a height of 6 units?

gregori [183]

Answer:

yes

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

paulette has arrived at cape horn. there are five penguins waiting to cross over to antarctica. jim goes before john but after j

Nikolay [14]

Well, this is a guess. Jim goes before john, but after joe. So Jim is second. John is third, so that leaved Joe.

Joe, Jim, John. But I don't know about the other 2.

---

sorry if this doesn't help

6 0

2 years ago