Solving exponential equations
Solve for x: 3^x+1 +3^x =324

Answers

Answer 1

Answer: $3^(x+1)+3^x=324\n\n3\cdot3^x+3^x=324\n\n3^x\cdot(3+1)=324\n\n4\cdot3^x=324\ \ \ /:4\n\n3^x=81\n\n3^x=3^4\iff x=4$

Answer 2

Answer: 3^(x+1) + 3^x = 324 <=> (3^x)*3 + 3^x = 324 <=> (3^x)( 3 + 1) = 324 <=> (3^x)*4 = 324 <=> 3^x = 81 <=> 3^x = 3^4 <=> x = 4.

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Manny has 28 chapters in a book to read. He reads 7 chapters each week. How many weeks will it take for Manny to read the book?
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A line passes through the point (2, 3) and has a slope of -2. Which is the equation of the line in point-slope form? A) 2x + y = 7 B) y = -2x + 7 C) y - 3 = -2(x - 2) Eliminate D) y = - 1 2 x + 5

Slope of one dotted lines:
slope of the reflection line:

Answers

Answer:

Slope of dotted lines: 1

Slope of reflection line: -1

Step-by-step explanation:

For the dotted lines, the rise up by one unit and run for one unit, thus their slopes are 1.

For the reflection line, it does the same thing as the dotted line, but instead of rising one unit, it goes down for one unit and runs for one unit, making its slope -1.

A machine can produce 250 items per hour. If the operator of the machine works 40 hours per week, how many items are made by this machine in one year?

Answers

52 weeks per year

250 times number of hours=number of items produced

number of hours=number of hours worked per week times number of weeks
number of hourse=40 times 52=2080 hours

250 times 2080=520000 items

Which of the following is not a Whole number? A) 10/2 B) 0/5 C) 6/3 D) 10/4

Answers

Answer:

option d 10/4

Step-by-step explanation:

by dividing 10 by 4 you get 2.5 which is a decimal

Whole numbers

A whole number is a number that is either positive or zero. Fractions are not included. Some examples of whole numbers are 2, 3, 0, 122, but not 2/3.

So let's take a look at all the given options :

⇒ 10/2 (it simplifies to 5, so it's a whole number)

⇒ 0/5 (it simplifies to 0, so it's also a whole number)

⇒ 6/3 (it simplifies to 2, which is a whole number)

⇒ 10/4 (it simplifies to 5/2, which is not a whole number)

Therrefore our answer is d) 10/4

Please help will give brainly to the correct answer

Answers

Answer: ok so what youll do is ad both sides

Step-by-step explanation:

ad a and b then d

A balloon has a circumference of 28 in. Use the circumference to approximate the volume of the balloon to the nearest square inch.Answer choices:
3,659 in ^3
11,488 in ^3
2,964 in ^3
944 in ^3

Answers

the correct question is
a) A balloon has a circumference of 28 in. Use the circumference to approximate the volume of the balloon to the nearest cubic inch.

or

b) A balloon has a circumference of 28 in. Use the circumference to approximate the surface area of the balloon to the nearest square inch.

case a)
we know that
circumference=2*pi*r
clear variable r
r=circumference/(2*pi)
circumference=28 in
r=28/(2*pi)----> r=4.46 in

volume of a balloon=(4/3)*pi*r³-----> (4/3)*pi*4.46³----> 371.61 in³
Volume=372 in³

the answer is
372 in³

case b)
we know that
circumference=2*pi*r
clear variable r
r=circumference/(2*pi)
circumference=28 in
r=28/(2*pi)----> r=4.46 in

surface area of a balloon=4*pi*r²-----> 4*pi*4.46²---> 249.83 in²
Surface area=249.83 in²-------> 250 in²

the answer is
250 in²

$x + 4.5 = 6.15$
Solve For X.