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2 years ago

Solve 3^4x+5=(1/3)^x+10 for x. please show work

Mathematics

1 answer:

loris [4]2 years ago

6 0

(3/4)/(1/3)=9/4
5-10=-5
(9/4)-5=x=-2.75

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(01.02 LC)

jonny [76]

Answer:

Step-by-step explanation:

Solve for x:

-6 + x = -3

Add 6 to both sides of the equal sign so -6 cancels out on the left side

+6 - 6 + x = -3 + 6

x = - 3 + 6

x = 3

I hope this helps! Good luck with your schoolwork :)

6 0

3 years ago

Miriam is picking out some movies to rent, and she is primarily interested in comedies and foreign films. She has narrowed down

Keith_Richards [23]

Answer:

There are 795 combinations.

Step-by-step explanation:

The number of ways or combinations in which we can select k element from a group of n elements is given by:

$nCk=\frac{n!}{k!(n-k)!}$

So, if Miriam want to choose 3 movies with at least two comedies, she have two options: Choose 2 comedies and 1 foreign film or choose 3 comedies.

Then, the number of combinations for every case are:

1. Choose 2 Comedies from the 10 and choose 1 foreign film from 15. This is calculated as:

$10C2*15C1=\frac{10!}{2!(10-8)!}*\frac{15}{1!(15-14)!}$

$10C2*15C1=675$

2. Choose 3 Comedies from the 10. This is calculated as:

$10C3=\frac{10!}{3!(10-3)!}=120$

Therefore, there are 795 combinations and it is calculated as:

675 + 120 = 795

8 0

3 years ago

My homework lesson 2 order of operations

djyliett [7]

Not sure what your question is but if you are learning the order of operations you can use the phrase "Please Excuse My Dear Aunt Sally"....

Parentheses
Exponents
Multiplication from left to right
Division from left to right
Addition from left to right
Subtraction from left to right

Hope this help :)

3 0

3 years ago

I really am confused on how to write a proof.

kvasek [131]

Since ABCD is a parallelogram, the opposite sides will be parallel and equal,

$\begin{gathered} AB=CD \\ BC=AD \end{gathered}$

Consider that AC acts as a transversal to the parallel lines AB and CD, so we can write,

$\begin{gathered} \angle CAD=\angle ACB\text{ (Alternate Interior Angles)} \\ BC=AD\text{ (Opposite sides of parallelogram)} \\ \angle ADB=\angle CBD\text{ (Alternate Interior Angles)} \end{gathered}$

So by the ASA criteria, the triangle AED is congruent to the triangle CEB,

Then the corresponding parts of the triangles will be equal,

$\begin{gathered} AE=CE \\ BE=DE \end{gathered}$

Hence Proved.

8 0

1 year ago

I GIVEEEEEEEEEEE BRAINLIST

irina [24]

Answer:

Step-by-step explanation:

8 0

2 years ago