Evaluate the following.
3 x 6+16 4-6

Answers

Answer 1
Answer: (3 x 6) + 16 4 - 6
18 + 16 4 - 6
34 (4 - 6)
34 (2)
68 or 36 I think this is the answer, I’m not so sure because you didn’t set up the equation properly so I’m confused.

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In Exercise, solve the equation.
ex– 1 = 9

Answers

Answer:

x = ln 10

Step-by-step explanation:

You meant e^x - 1 = 9.  Let's isolate e^x, by adding 1 to both sides.  We get:

e^x = 10

Now make use of the property ln a = b  <=> a = e^b

Then e^x = 10 becomes  

x = ln 10

Use a half-angle identity to fifd the exact value of sin 75º

Answers

Answer:sin75=√(2+√3)/2

Step-by-step explanation:

Cosx=1-2sin^2(x/2) let x=150

Cos150=1-2sin^2(150/2) cos150=-√3/2

-(√3)/2=1-2sin^2(75)

2sin^2(75)=1+(√3)/2

2sin^2(75)=(2+√3)/2

Cross multiply

2x2sin^2(75)=2+√3

4sin^2(75)=2+√3

sin^2(75)=(2+√3)/4

Take square root of both sides

sin75=√(2+√3)/√4

sin75=√(2+√3)/2

The ratio of Sunita's age to Mark's age is currently 3 to 4, and in 12 years, it will be 5 to 6. What is Mark's current age?A) 18

B)24

C)30

D)36

Answers

Answer:

24 years.

B is correct option.

Step-by-step explanation:

Let Sunita's current age is x and that of Mark's is y.

Hence, we have

(x)/(y)=(3)/(4)\n\nx=(3)/(4)y.......(1)

Now, in 12 years the ratio will be 5 to 6. Thus, we have

(x+12)/(y+12)=(5)/(6)

Cross multiplying, we get

6x+72=5y+60

Plunging, the value of x from equation (1)

6((3)/(4)y)+72=5y+60\n\n(9y)/(2)+72=5y+60\n\n(y)/(2)=12\n\ny=24

Therefore, Mark's current age is 24 years.

Mark's current age is 24  


Hello, there are three questions and pictures of them in the links If you could solve them that would be awesome, thank you!

Answers

Answer:

1.  1 * x^(3/6) = x^(3/6) (it will be equal to the sixth root of x cube)

2.  No, the expression x^(3) X x^(3) X x^(3) will be equal to x^(3 + 3 + 3 ) since the powers of      numbers with the same base are added

3. B and D   1/x^(-1) is the same as 'x'

as mentioned in the last answer, powers of numbers with same base are added. hence, option D will be x^(3/3) which will be equal to x

Find the quotient.
0.63
_____
-0.7

Answers

Answer:

- 0.9

Step-by-step explanation:

your welcome.what is quotient?a result obtained by dividing one quantity by another.

Choose the two rectangular prisms that have a volume of 36 cm”.= 1 cm3
A.
D.
B.
E.
C.

Answers

Answer:

B & D

Step-by-step explanation:

Volume is calculated as:

Volume = Length * Width * Height

For (a):

Length = 3cm

Width = 4cm

Height = 5cm

Volume = 3cm * 4cm * 5cm

Volume = 60cm^3

For (b):

Length = 3cm

Width = 4cm

Height = 3cm

Volume = 3cm * 4cm * 3cm

Volume = 36cm^3

For (c):

Length = 4cm

Width = 2cm

Height = 2cm

Volume = 4cm * 2cm * 2cm

Volume = 16cm^3

For (d):

Length = 2cm

Width = 3cm

Height = 6cm

Volume = 2cm * 3cm * 6cm

Volume = 36cm^3

There's no need to check for (e)

Option b and d answers the question

Using the volumeof a rectangularprismto examine the volumesof the prism,the two prisms with a volumeof 36cm³are Band D

Recall:

  • Volumeofarectanglularprism=Length×width×Height

PrismA:

  • Length=3cm;Height=5cm;Width=4cm

Volume = 3cm × 5cm × 4cm = 60cm³

Prism B :

  • Length = 3cm ; Height = 3cm ; Width = 4cm

Volume = 3cm × 3cm × 4cm = 36 cm³

Prism C :

  • Length = 4cm ; Height = 3cm ; Width = 2cm

Volume = 4cm × 3cm × 2cm = 24 cm³

Prism D :

  • Length = 2cm ; Height = 6cm ; Width = 3cm

Volume = 2cm × 6cm × 3cm = 36 cm³

Prism E :

  • Length = 3cm ; Height = 5cm ; Width = 4cm

Volume = 4cm × 2cm × 2cm = 16 cm³

Hence, the two rectangularprismswith a volumeof 36cm³are Band D.

Learn more : brainly.com/question/25608731