Question 1 (Essay Worth 10 points) (01.02 MC) Part A: If (26)x = 1, what is the value of x? Explain your answer. (5 points) Part B: If (50)x = 1, what are the possible values of x? Explain your answer. (5 points)

Answers

Answer 1

Answer:

See Explanation

Step-by-step explanation:

The question is not clear. However, I will treat the question as:

[tex](26)x = 1[/tex]

[tex](50)x = 1[/tex]

and:

[tex](2^6)^x = 1[/tex]

[tex](5^0)^x = 1[/tex]

Solving: [tex](26)x = 1[/tex]  and  [tex](50)x = 1[/tex]

[tex](26)x = 1[/tex]

Divide both sides by 26

[tex]x = \frac{1}{26}[/tex]

[tex](50)x = 1[/tex]

Divide both sides by 50

[tex]x = \frac{1}{50}[/tex]

Solving [tex](2^6)^x = 1[/tex] and [tex](5^0)^x = 1[/tex]

[tex](2^6)^x = 1[/tex]

Express 1 as 2^0

[tex](2^6)^x = 2^0[/tex]

Remove bracket

[tex]2^{6x} = 2^0[/tex]

Cancel out 2

[tex]6x = 0[/tex]

Divide both sides by 6

[tex]x = \frac{0}{6}[/tex]

[tex]x = 0[/tex]

[tex](5^0)^x = 1[/tex]

Express 1 as 5^0

[tex](5^0)^x = 5^0[/tex]

Cancel out 5^0

[tex]x = 1[/tex]


Related Questions

A company that makes hard candy have a standard bag of hard candy with 150 pieces. The hard candy has three distinct colors red, white and orange and equal proportion of each candy is present in the standard bag. The manager wants to know whether the bags produced last Monday were similar to the standard bag. To test this, they plan to choose a random bag from the batch and compare it with the standard bag. You will have to answer questions below to assist the manager in comparing the two bags. Based on the data provided above how many degrees of freedom will you have while performing the necessary test of comparison

Answers

Answer:

The degrees of freedom, Df = The number of bags produced on Monday - 1

Step-by-step explanation:

The number of degrees of freedom is the limiting number of values that are logically not influenced by other values such that they are capable of having variation

The degrees of freedom = The sample size - 1 = N - 1

Therefore, the degrees of freedom, Df = The number of bags produced on Monday - 1

what is the measure of ∠x?

Answers

Answer:

83°

Step-by-step explanation:

WZ is a straight line. Angles at a straight line add up to 180°.

180 - 97 =83°

Help wit this? 10m-8m+2+10

Answers

Answer:

2m+12

Step-by-step explanation:

add like terms

2m+12

A comic book originally cost $12.00. Tim bought it at 60% off. How much was deducted from the original price?

Answers

$7.20 was taken off the price.

The price would now be $4.80

Answer: $7.2

Step-by-step explanation:

First, you must find 60% of $12 which is $7.2. Then, you must subtract $12 - $7.2 which is $4.8. $12 - $4.8 is 7.2.

the radius of a circle is 18.4 inches. the circle's circumference is about ___ inches.

use 3.14 for pi

Answers

Answer:

115.552 or 116 inches.

Step-by-step explanation:

Use the circumference of a circle formula which is C= 2piR. Where C is circumference and R is radius. So you get C=2(3.14×18.4) which gives you 115.552.

3.
Mrs Rita buys 6 cartons of soya bean milk. Each carton contains 1.251
of soya bean milk. Does Mrs Rita have enough soya bean milk to fill up
20 mugs with a capacity of 320 ml each? Explain.​

Answers

Yes, it is possible to fill all twenty mugs.

What is the answer to this question?

Answers

The answer is C. (2, 3)

Is it possible to draw a quadrilateral that is not a rectangle, but has at least one right angle.Explain

Answers

Answer:

Yes

Step-by-step explanation:

A trapezoid with two right angles is a quadrilateral with two right angles.  

I need help with math.

Answers

Step-by-step explanation:

Circumference of a circle= 2πr

where r=6

and π=22/7

C=2πr

=2×22/7×6

=44/7×6

=264/7

=37.71cm

A map has a scale of 1 inch : 40 miles. Use the given map distance to find the actual distance.

1.) 12 inches
2.) 1 foot

Answers

If it is 1/40 as the ratio then multiple the top by 12 and bottom by 12 to get 480 miles

Answer:

480 miles

Step-by-step explanation:

If one inch equals 40 miles, then 12 times that would be 4800 miles.

1 Inch          12 Inches

---------- =  ------------------

40 Miles     480 Miles.

Find the GCF of the monomials: 18x² and 21x²y
A)3x
B)3x²
C)3xy
D)3x²y
PLEASE HELP MEEE

Answers

It’s b because they both have x squared and are both divisible by 3

someone help please!! oh and pls don’t put any links

Answers

Answer:

10 visits

Step-by-step explanation:

So first let's make an equation, 7.74x + 8.93= 86.33. When you solve for x you get 10.

which dashed line is an asymptote for the graph?

Answers

Answer:

the graph has two vertical asymptotes, line q intersects the line at -8 and is the more important one.

Step-by-step explanation:

This is visible based off of the picture.

The students in a club are selling flowerpots to raise money.Each flowerpot sells for $15.

Part A

Write an expression that represents The total amount of money, in dollars, The students raise from selling flowerpots.
Answer your expression in the box provided. Enter only your expression.Please hurry!

Answers

Answer:

y = 15x

Step-by-step explanation:

For every flower pot purchased (y), the quantitity of the price (x) will go up by $15.

Answer:

y = 15x

Step-by-step explanation:

What is the value of A when we rewrite 3^x as A^5x

Answers

The value of A when we rewrite 3^x as A^5x is 3^⅕

We have given that,

The value of A when we rewrite 3^x as A^5x.

What is power?

The power (or exponent) of a number says how many times to use the number in a multiplication. It is written as a small number to the right and above the base number.

3^x

(3^⅕)^(5x)

To learn more about the exponent visit:

https://brainly.com/question/11975096

#SPJ1

Answer:

3^1/5

Step-by-step explanation:

A state of Maine drivers license has a unique ID for each individual that is 7 digits.

How many possible ID's are available in Maine?

Answers


10,000,000
...............

If Ann travels 50 meters North, 200 meters East and 150 meters South, what is her total distance travelled ? A. 150 meters B.400 meters C. 250 meters D. 0 meter

Answers

Answer:

400 meters

Step-by-step explanation:

50 + 200 + 150 = 400

400 total distance by adding.

how to graph y = - x2 - 4x-3​

Answers

Is the x2 supposed to be squared?

Answer:

graph is in the attachment

Step-by-step explanation:

y=-x²-4x-3=-x²-4x-4+1=-(x+2)²+1

If a translation of the figure above is plotted 7 units to the right and 2 units up, where will point A' be located on the new figure?
A. (7,2)
B. (-12,3)
C. (12,3)
D. (2,7)

Answers

d. because you just count 7 units to the right and then 2 units up.

If a translation of the figure above is plotted 7 units to the right and 2 units up, the (12,3) point A' will be located on the new figure.

What is translation?

The process of changing the location of the image on the coordinate system will be known as the translation. Here the image is translated as;

The given coordinate of the point is:- (7, 2)

Then it is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s range(involving values of y) or in it’s domain(involving values of x  because we  just count 7 units to the right and then 2 units up.

Hence If a translation of the figure above is plotted 7 units to the right and 2 units up, the (12,3) point A' will be located on the new figure.

To know more about translation follow

brainly.com/question/12861087

#SPJ1

Deon wants to replace a glass window in his restaurant. The window is in the shape of a square. Its side lengths are 8 feet. Suppose glass costs $6 for each square foot. How much will the glass cost to replace the window?

Answers

Answer:

is 84 dollars

Step-by-step explanation:

Teresa wants to replace a glass window in her restaurant. The window is in the shape of a square. Its side lengths are 6 feet. Suppose glass costs $7 for each square foot. How much will the glass cost to replace the window? Please I really need help ASAP!!!

find the square root of 8.1 x 10^15​

Answers

Answer:

9x10^7 is your scienctific notation, which is also 90000000 in expanded form

Can pls someone help I need help pls

Answers

(27.26604445073)

this answer for this question

Give some memes please

Answers

boomer meme or whatever

Answer:

oh no homework not done

Step-by-step explanation:

mom:

The volume of a sphere is 36 cubic inches. What is the radius of the sphere? ​

Answers

Answer:

ok we know that volume of a sphere is 4/3 pi r cubed so just replace the letters with the entities given

Answer:

2.7 cm

Step-by-step explanation:

A serving of walnuts is 5/6 of a cup. How many servings are there in a 2 1/2-cup bag of walnuts?

Answers

Answer:

3

Step-by-step explanation:

5/2 ÷ 5/6 = 5/2 × 6/5

5/2 × 6/5 = 30/10 or 3

help ASAP please ill give brainliest

Answers

C
Hopes this helps!!!!!

Find the output, h, when the input, x, is -18
h = 17+x/6
h=?

Answers

Answer:

i think h=17

Step-by-step explanation:

-18h = 17 = xh/6

Subtract xh/6 from both sides of the equation.

-18 - xh/6 = 17

Answer:

Step-by-step explanation:8

HELP! plz I can't find the aswer

Answers

Answer: 2(n+8)

Explanation: n +8 = adds 8
Multiply by 2 => Doubles the sum of n+8

U is the set of integers. G is the set of negative integers. What is the complement of set G in universive U?
Pls help fast

Answers

Answer:

Wouldn't the answer be C) Positive Integers?

Step-by-step explanation: Because the complement of a set include all of the elements not included in the indicated set. I hope I'm making some sense. :)

Suppose that $575.75 is invested in a savings account with an APR of 12% compounded monthly. What is the future value of the account in 5 years?

Answers

Answer:

FV= $1,045.96

Step-by-step explanation:

Giving the following information:

Initial investment (PV)= $575.75

Number of periods (n)= 15*5= 60 months

Interest rate (i)= 0.12 / 12= 0.01

To calculate the future value (FV), we need to use the following formula:

FV= PV*(1+i)^n

FV= 575.75*(1.01^60)

FV= $1,045.96

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