Your teacher asks the class to evaluate the expression. Your classmate gives an incorrect answer of 256. Evaluate the expression. Then find the likely error

Answer:

10000 = 10km

10 / 2.5 = 4 hours

Answer:

4

Step by step explanation:

Refer to the Attachment for steps.

Answer:

4

Step-by-step explanation:

Refer to the attachment for proof

Step-by-step explanation:

The first technique we will introduce for solving exponential equations involves two functions with like bases. Recall that the one-to-one property of exponential functions tells us that, for any real numbers b, S, and T, where

b

>

0

,

b

≠

1

,

b

S

=

b

T

if and only if S = T.

In other words, when an exponential equation has the same base on each side, the exponents must be equal. This also applies when the exponents are algebraic expressions. Therefore, we can solve many exponential equations by using the rules of exponents to rewrite each side as a power with the same base. Then we use the fact that exponential functions are one-to-one to set the exponents equal to one another and solve for the unknown.

For example, consider the equation

3

4

x

−

7

=

3

2

x

3

. To solve for x, we use the division property of exponents to rewrite the right side so that both sides have the common base 3. Then we apply the one-to-one property of exponents by setting the exponents equal to one another and solving for x:

3

4

x

−

7

=

3

2

x

3

3

4

x

−

7

=

3

2

x

3

1

Rewrite 3 as 3

1

.

3

4

x

−

7

=

3

2

x

−

1

Use the division property of exponents

.

4

x

−

7

=

2

x

−

1

Apply the one-to-one property of exponents

.

2

x

=

6

Subtract 2

x

and add 7 to both sides

.

x

=

3

Divide by 3

.

A GENERAL NOTE: USING THE ONE-TO-ONE PROPERTY OF EXPONENTIAL FUNCTIONS TO SOLVE EXPONENTIAL EQUATIONS

For any algebraic expressions S and T, and any positive real number

b

≠

1

,

b

S

=

b

T

if and only if

S

=

T

HOW TO: GIVEN AN EXPONENTIAL EQUATION OF THE FORM

b

S

=

b

T

, WHERE S AND T ARE ALGEBRAIC EXPRESSIONS WITH AN UNKNOWN, SOLVE FOR THE UNKNOWN

Use the rules of exponents to simplify, if necessary, so that the resulting equation has the form

b

S

=

b

T

.

Use the one-to-one property to set the exponents equal to each other.

Solve the resulting equation, S = T, for the unknown.

Answer:

Cathleen walked 3/8 mile.

Step-by-step explanation:

Since we are trying to find 1/2 of 3/4, we'll start by converting 3/4 into a form where we can find 1/2, becuase 1.5/4 is not a valid answer.

The simplest form other than 3/4 would be 6/8, we'll get that by multiplying 3 by 2 and 4 by 2. We just need to find half of 6, which is 3. Therefore, Cathleen walked 3/8 mile.

Answer:

If it's Jose, Brad, and Ed it's an acute triangle, it has no 90 degree angle, if it's Jose, James, and Malcolm it is a right triangle because the line to Jose and Malcolm is straight I think not sure how to explain

Step-by-step explanation:

Answer:

i think its -186,624

Step-by-step explanation:

if i did it right this is the answer bc you do powers first and then multiply

Answer:42x63 =2646

Step-by-step explanation:r u asking whats 42x63?

lets say that you are selling lemonade, and for every glass, you make 4 dollars, then your ratio would be 1:4 and so on. Does this help?

Step-by-step explanation:

Answer:

x = 2

Step-by-step explanation:

[tex]27=3^{2x-1}\\\\3^{3}=3^{2x-1}\\[/tex]

Bases are equal. So, compare powers

2x - 1 = 3

Add 1 to both sides,

2x = 3+1

2x = 4

Divide both sides by 2

x = 4/2

x = 2

Answer:

if the denominators are not the same, then you have to use equivalent fractions which do have a common denominator. To do this, you need to find at least common multiple (LCM) of the two denominators. To add fractions with unlike denominators, rename the fractions with common denominator. Then add and simplify

Answer:

[tex]\frac{52}{45}[/tex]  or  [tex]1\frac{7}{45}[/tex]

Step-by-step explanation:

In order to add two fractions with different denominators, you will have to find its least common denominator (LCD):

The LCD of 9 and 5 is 45.

Next, we'll start with 5/9:

Divide 45 by 9, which results in 5. Then, multiply the numerator by 5:[tex]\frac{5}{9} = \frac{5*5}{45} = \frac{25}{45}[/tex]

The same goes with 3/5:

Divide 45 by the denominator, 5, then multiply 5 by the numerator 3:

[tex]\frac{3}{5} = \frac{9*3}{45} = \frac{27}{45}[/tex]

Now, we can finally add 25/45 and 27/45 since they have the same denominator. Doing so results in a sum of 52/45:

[tex]\frac{25}{45} + \frac{27}{45} = \frac{52}{45}[/tex]

If you have to transform 52/45 into a proper fraction (which will result in a mixed fraction), then it will be [tex]1\frac{7}{45}[/tex].

Please mark my answers as the Brainliest, if you find this explanation helpful :)

Answer:

Principal = $1800

Step-by-step explanation:

[tex]594 = \frac{p \times 5.5 \times 6}{100} [/tex]

[tex] \frac{594 \times 100}{5.5 \times 6} [/tex]

59400/33 = p

1800 = p

9514 1404 393

Answer:

  3:37:43.8

Step-by-step explanation:

The relevant relation is ...

  time = distance / speed

  time = (700 mi)/(192.9 mi/h) ≈ 3.628823 h

  ≈ 3:37:43.8 . . . . HH:MM:SS

The driver's time was about 3 hours, 37 minutes, 43.8 seconds.

_____

Additional comment

Multiply 60 minutes by the fraction of hours to get minutes.

  60×0.628823 ≈ 37.729393 . . . minutes

Multiply 60 seconds by the fraction of minutes to get seconds.

  60×0.729393 ≈ 43.76 . . . seconds

Intermediate values in the calculation should not be rounded. Full calculator precision should be maintained until the final answer.

(x-3) + (x+5) = 180°

2x + 2 = 180° --> Subtract 2 from both sides

2x = 178° --> Divide both sides by 2

x = 89°

☆Proof your answer☆

(89 - 3) + (89 + 5) = 180

86 + 94 = 180 ✅

Domain:

Range:

Function:

Domain:

Range:

Function:

Answer:

3^2 should work.

Step-by-step explanation:

Answer:

[tex]3^{2} =9[/tex]

Step-by-step explanation:

Answer:

54

Step-by-step explanation:

6/5:?/45

5x9=45 so 6x9=54

Pls MARK BE BRAINLIEST :)

The missing value in the ratio that we have in the question is obtained as 54.

To find the missing value, we can set up a proportion using the given equivalent ratios.

The equivalent ratios are 6:5 and ___:45.

We can write the proportion as:

6 / 5 = ___ / 45

Let the missing number be x in the expression that has been written in the question or problem that we have here thus we have that;

6/5 = x/45

x = 6 * 45/5

x = 54

Thus we would have the missing value that is here as 54.

Learn more about ratio:https://brainly.com/question/13419595

#SPJ3

Answer:

51

Step-by-step explanation:

1 gallon = 128 ounces

128/2.5 = 51.2

51 portions

Yw :D

51 persons can be made with one container.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given:

1 gallon = 128 ounces

We have 2.5 oz of almond milk.

So, the number of person who can have it

=128/2.5

= 51.2

Learn more about unitary method here:

https://brainly.com/question/22056199

#SPJ5

Answer:

1/2

Step-by-step explanation:

Answer:

Surgery, injections, medicine description.

To know more about the medical technology, here

https://brainly.com/question/27709980

#SPJ2

Answer:   D-3 1/4

Step-by-step explanation:4  -  11 / 4 +1/2

                                                     2  3/4 + 1/2

                                             4 - 2  + 1/2 +1/2 +1/4

                                                2     +      1       +     1/4

                                                        3                  1/4

Now

Answer:

-18, -13, -8, -3

Next 3 terms are 2,7,12

Step-by-step explanation:

-18 + 5 =-13

-13+5 =-8

-8+5 =-3

-3+5 =2

2+5 =7

7+5 =12

Answer:add 5 each time

Step-by-step explanation:

2,7,12

Answer:

you multiply through parenthesis

Step-by-step explanation:

ex.

3(3x+4)=48

9x+12=48

-12. -12

9x=36

9x/9. 36/9

x=4

I think this is what you are asking but I'm not for sure

Answer:

an association between two sets of data

Answer:

benches 3 and lamps 2 with 2 left over

Hope i helped! :D

Step-by-step explanation:

Answer:

x=1 , -9/4

Step-by-step explanation:

Answer:

Decimals are multiplied as if they were whole numbers, and then the decimal point is placed in the product. To find out where the decimal point should be placed, count the number of decimal places after the decimal point in each factor.

Answer:

41

Step-by-step explanation: