What do i do if i have a problem like this x exponent 5 = 1024 and (-1/7) exponent -x = -1/343

Answers

Answer 1
Answer: x^5 = 1024 = 4^5
Therefore, x = 4.

Given, (-1/7)^-x = -1/343
(1/7)^-x = 1/343
(1/7)^-x = (1/7)^3
-x = 3
x = -3

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If Dan gains 5 yards, he will rush more than 150 years in today's game. Write the inequality? How many yards has dan already rushed.

Answers

I think the answer is 155 because it says he gained it and it also says he will rush more than 150 yards

What is 2/3 of an hour

Answers

2/3 of an hour is 40 minutes

How much is 45 minutes plus 45 minutes

Answers

an hour and a half long.
90 MINUTES SO BASICALLY HUN YOU ADDING 5+5+10 CARRY THE 1 tHEN IT WILL BE 5 +4 WHICH EQUALS 9 PUT THE 0 BEHIND IT AND YOU HAVE 90 MINUTES

2x=(360/4) solve for x please

Answers

If 2x=(360/4)  then the The value of x is 45.

To solve for x, we can simplify the equation step by step:

Step 1: Simplify the right side of the equation:

360/4 = 90

Step 2: Substitute the value of (360/4) into the equation:

2x = 90

Step 3: Isolate x by dividing both sides of the equation by 2:

x = 90/2

x = 45

So, the value of x is 45.

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Hi there! First, we have to simplify both sides of the equation, 2x=360/4=2x=90. Now, we divide both sides by 2, 2x/2=90/2, 90/2=45. Therefore, the answer is x=45.

What is the slope of a line perpendicular to the line y=8x+1

Answers

Answer:

Slope of a line perpendicular to the line y=8x+1 is (-1)/(8)

Solution:

Given y=8x+1

The slope - intercept form equation of line is given as

y = mx + c --- eqn 1

Where m is the slope of the line.  

The coefficient of “x” is the value of slope of the line.

"c" is the y – intercept which is the value of y at the point where the line crosses the y-axis

From question, given that y = 8x + 1

Comparing the given equation y=8x+1 with equation 1, we get  

m = 8 and c = 1

The equation of a perpendicular line to y=8x+1 must have a slope that is the negative reciprocal of the original slope.

\mathrm{m}_{\text {reciprocal }}=-(1)/(8)

Hence the slope of the line perpendicular to the line y=8x+1 is  (-1)/(8)

Explain the steps taken to write an equation from a description given in words

Answers

'more than' or 'greater' or 'sum' than means addition
'less than' is minus
'product' means divide
'quotient' means divide
'equals' or 'is' means '='
 

Sample Response:

To write an equation from a description given in words, you first have to identify and define the variable. Then you would identify the coefficient, constants, and operations between the terms. Finally, you can translate to write the equation.