Rewrite the product in exponential form: a.a.a.b.b.b.b

Not sure if I did this correctly... please help 3. Is the one I'm kinda stuck on

denis23 [38]

You got the b part wrong. It would be 4B+4C/2=4D

6 0

3 years ago

Read 2 more answers

Type the correct answer in the box. Use numerals instead of words.

Mandarinka [93]

Answer:

34

Step-by-step explanation:

We are here given a modulus expression and we need to find out the value when m = -5 and n = 3 .

Modulus :- It always gives positive value . For example ,

$\rm\implies |-a| = a$

$\rm\implies |a| = a$

The given modulus expression is :-

$\rm\implies |m^2+ n^2|$

As the number inside the modulus operator are already squared therefore they will always give positive value for real numbers . Here we can omit the modulus .

$\rm\implies m^2 + n^2$

Plug in the given values ,

$\rm\implies (-5)^2 + 3^2$

Solve 5² and 3² and add them ,

$\rm\implies 25 + 9$

On adding ,

$\rm\implies 34$

Therefore ,

$\rm\implies \boxed{\blue{\rm |m^2+n^2| = 34 }}$

Hence the required answer is 34 .

8 0

3 years ago

NO LINKS!!!

allochka39001 [22]

Part A

Converse = "If corresponding angles are equal, then two lines are parallel"
Result = True

Explanation:

Refer to the converse of the corresponding angles theorem. The original version is stated as part A, and the converse is marked in bold above.

Conditional statements are of the form "if this, then that". Symbolically we can use the template "If P, then Q". The P and Q are placeholders for logical statements.

The converse of "if P, then Q" is "If Q, then P". We swap the positions of P and Q. Do not negate either piece.

========================================================

Part B

Converse = "If angle C is 70 degrees, then the sum of angles A and B is 110 degrees"
Result = True

Explanation:

Recall that for any triangle, the three interior or inside angles always add to 180 degrees. In short: A+B+C = 180. If C = 70, then A+B = 180-C leads to A+B = 180-70 and A+B = 110. This process can be reversed.

========================================================

Part C

Converse = "If two lines are not parallel, then alternate interior angles k and s are not equal"
Result = True

Explanation:

For more information, check out the converse of the alternate interior angles theorem. The regular version of the theorem is "If two lines are parallel, then the alternate interior angles are congruent".

The converse of this theorem flips things to say: "If alternate interior angles are congruent, then the lines are parallel".

========================================================

Part D

Converse = "If John loses his money, then he throws coins in the fountain"
Result = False

Explanation:

Throwing coins in a fountain is one way to lose money, but there are other ways. He could drop a coin somewhere, or leave the coin somewhere he forgot.

In other words, just because he lost his money does not mean he threw a coin in the fountain.

8 0

2 years ago

Which expression has a value that is less than the base of that experience?

Rom4ik [11]

Answer:

(B) $(\frac{5}{6})^{2}$

Step-by-step explanation:

(A) The given expression is: $2^{3}$

= $8$

The value of this expression is 8 which is greater than the base of the expression that is 2.

(B) The given expression is: $(\frac{5}{6})^{2}$

= $\frac{25}{36}$

= $0.09$

The value of this expression is 0.09 which is smaller than the base of the given expression that is 0.83.

(C) The given expression is: $3^{2}$

= $9$

The value of this expression is 9 which is greater than the base of the given expression that is 3.

(D) The given expression is: $4^{4}$

= $256$

The value of this expression is 256 which is greater than the base of the given expression that is 4.

Hence, Option B is correct.

6 0

3 years ago

We have two stacks of styrofoam cups. One stack has 6 cups, and its height is 15 cm. The other stack has 12 cups, and its height

Irina18 [472]

Complete Question

We have two stacks of styrofoam cups. One stack has 6 cups, and its height is 15 cm. The other stack has 12 cups, and its height is 23 cm. How many cups are needed for a stack with a height of 50 cm

Answer:

37.5 cups

Step-by-step explanation:

Height 1 = 15cm

Number of cups = 6

Height 2 = 23 cm

Number of cups = 12

Hence:

H1 - H2/N1 - N2

= 15 - 23/6 - 12

= -8/-6

= 4/3

The number of cups that are needed for a stack with a height of 50 cm is calculated as:

50 cm ÷ 4/3

= 50 × 3/4

= 37.5 cups

3 0

3 years ago