The greatest common factor of 60w^5y^3 and 78wy^2 is

Simplify. 43 – 2 A 10 B 41 C 62 D 79

Zarrin [17]

the correct answer is, B.

41

8 0

3 years ago

The polygons are similar but not necessarily drawn to scale find the value of X. Show the steps you use to solve the problem (im

ludmilkaskok [199]

Answer:

The correct answer is x =9

Step-by-step explanation:

It is given that, the polygons are similar.

Then the ratio of corresponding sides are equal.

To find the ratio of corresponding sides

corresponding sides are

16 and 12 ratio = 12/16 = 3/4

32 and 24 ratio = 24/32 = 3/4

x - 1 and 6

y + 1 and 21

Therefore we can write 6/(x-1) = 3/4

To find the value of x

6/(x-1) = 3/4

24 = 3(x-1)

24 = 3x - 3

3x = 27

x = 27/3

x = 9

Therefore the value of x = 9

8 0

3 years ago

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1.Write the expression in expanded form. The subscript number can be write in

enyata [817]

Answer:

(a) Expanded form:

$((X_1 + X_1Y_1) - X_1Z_1) + ((X_2 + X_2Y_2) - X_2Z_2) + ((X_3 + X_3Y_3) - X_3Z_3) + ((X_4 + X_4Y_4) - X_4Z_4)$

(b) The value of the expression: -21

Step-by-step explanation:

Given

$\sum \limit^4_{i=1}\ ((X_i+X_iY_i) - X_iZ_i)$

Solving (a): The expanded form:

This means that we substitute the values of i from 1 to 4 in the above expression.

So, the expression becomes:

$((X_1 + X_1Y_1) - X_1Z_1) + ((X_2 + X_2Y_2) - X_2Z_2) + ((X_3 + X_3Y_3) - X_3Z_3) + ((X_4 + X_4Y_4) - X_4Z_4)$

Solving (b): The value of the expression

To do this, we simply substitute the given values of X1, X2....... in the expression.

This gives:

So, the expression becomes:

$((0 + 0*5) - 0*0) + ((1 + 1*26) - 1*-2) + ((12 + 12*-2) - 12*3) + ((-1 + -1*25) - -1*24)$

Simplify each bracket

$((0 + 0) - 0) + ((1 + 26) +2) + ((12 -24) - 36) + ((-1 -25) +24)$

$0 + 29 -48 -2$

$-21$

Hence, the result of the expression is -21

5 0

3 years ago

Somebody help me out

Bumek [7]

The number that produces an irrational number when multiplied by 0.4 is 3π. The correct option is A. $3\pi$

To determine which number produces an irrational number when multiplied by 0.4

First and foremost, 0.4 is a rational number.

A rational number is a number that is of the form $\frac{p}{q}$ where p and q are integers and q is not equal to 0.

0.4 can be written as $\frac{4}{10}$ or $\frac{2}{5}$ , hence, it is a rational number.

Now,

Any irrational number when multiplied by a rational number other than zero will also be irrational.

Therefore, we are to determine which of the given options is an irrational number.

For option A. 3π

π is an irrational number, therefore 3π is also an irrational number

For option B. 0.444...

0.444... can be expressed as 4/9, therefore it is a rational number

For option C. $\sqrt{9}$

$\sqrt{9}$ = 3, which can be expressed as 3/1, therefore it is a rational number

For option D. $\frac{2}{7}$

$\frac{2}{7}$ is a rational number

The only irrational number among the given options is 3π

Hence, the number that produces an irrational number when multiplied by 0.4 is 3π. The correct option is A. $3\pi$

Learn more here: brainly.com/question/11763957

8 0

2 years ago

What requirements are necessary for a normal probability distribution to be a standard normal probability distribution? choose

satela [25.4K]

A standard normal distribution has a mean of zero; half the bell curve is to the left of zero and half to the right.

A standard normal distribution has a standard deviation of 1 and follows the 68-95-99.7 rule; e.g. 99.7% of the probability is between -3 and +3.

Choice a

3 0

4 years ago

Read 2 more answers