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

please help ·ω· pppppppllllllllllllllleeeeeeeeeeaaaaaaaassssssssseeeeeeeeee????

Answers

Answer:

x=49

Step-by-step explanation:

Factoring Perfect Square Trinomials
a^2- 2ab + 4b

Answers

Step-by-step explanation:

[tex]i \: \: think \: \: it \: \: is \: \\ \\ {a}^{2} - 2ab + {b}^{2} \\ \\ that \: is \: for \: \: {(a - b)}^{2} [/tex]

I hope that is useful for you :)

what is the ratio for 0.875?

Answers

i need more information to give you the correct answer on this. can you insert a picture or something?

The simplified ratio for 0.875 is 7:8 .

To express the ratio for 0.875, we need to convert the decimal value to a ratio form.

0.875 can be written as 875 / 1000 because the decimal value is equivalent to the fraction obtained by dividing the numerator by the denominator.

To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 125 in this case.

Dividing 875 and 1000 by 125, we get:

875 / 125 = 7

1000 / 125 = 8

So, the simplified ratio for 0.875 is 7:8 .

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Rachel has 42 stickers she wants give to her friends. Rachel put the stickers in 7 equal groups. Then Rachel found more stickers and put 3 more in each pile. If Rachel gives 5 stickers to each of her 12 friends, how many stickers does she have left over?

Answers

Answer:

3 stamps

Step-by-step explanation: 42 stamps in equal groups would be 6 stickers/group.

6+3 = 9 stickers in each pile

there was 7 piles so multiply 7 by the 9 stickers in each pile

7· 9 = 63  

5 · 12 = 60, so she gave her friends 60 stickers

63-60 = 3  

HELP ME!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

H

Step-by-step explanation:

If they are similar that means that they are racially the same so just divide 60 by 84 to find the rate and then multiply the rate by 210 to get your answer

PLEASE HELP FAST WILL GIVE BRAINLIEST

Answers

Answer:

QT=8 VQ=17 this is what i came up with because i myself have ur question and i don't know what it is?

Equation in slope intercept form that represents their shown

Answers

Answer:

I think the answer would be Y= -2X+5 .

Hope it helps u ^^♥️

trigonometry question

Answers

Answer:

Step-by-step explanation:

x = 87.2ft

Hope that helps :)

First try was incorrect
A circle's diameter is 14 centimeters.
What is the circle's circumference (use 3.14 for pi and round to
nearest tenth)?

Answers

Answer:

Circumference = 2(pi)r

C = 2*3.14*4.0= 25.12 round 25.10 m

Step-by-step explanation:

Find the perimeter of 13.2 yd, 6.2 yd, 11yd

Answers

Answer: 900.24

Step-by-step explanation:

Perimeter=L•W•H

*Will award brainliest* Karla would like to lease a car worth $23,550 for a three-year period. The leasing company told Karla that after three years, the car would have a residual value of $14,136. What percentage represents the residual value of Karla’s leased car?

Answers

Pretty sure you just divide 14,136/23,550 and then that percent would be the answer

warning number 777777777777777777777777777777

Answers

Answer: What is the warning for???? anyway your answer x= -3, x=-5

Step-by-step explanation:

Hope this helps you! Have a good day! :)

someone helpp!!!!!!!

Answers

Answer:

the rate of change is 3

Step-by-step explanation:

if im wrong im sorry but if im right give me brainliest

A group of college students are going to a lake house for the weekend and plan on renting small cars and large cars to make the trip. Each small car can hold 4 people and each large car can hold 6 people. The students rented twice as many large cars as small cars, which altogether can hold 48 people. Graphically solve a system of equations in order to determine the number of small cars rented, x,x, and the number of large cars rented, yy.

Answers

Answer:

The students rented 3 small cars and 6 large cars.

Step-by-step explanation:

Since a group of college students are going to a lake house for the weekend and plan on renting small cars and large cars to make the trip, and each small car can hold 4 people and each large car can hold 6 people, and the students rented twice as many large cars as small cars, which altogether can hold 48 people, to determine the number of small cars rented, X, and the number of large cars rented, Y, the following calculation must be performed:

4X + 6Y = 48

4x4 + 6x8 = 16 + 48 = 64

4x3 + 6x6 = 12 + 36 = 48

Thus, the students rented 3 small cars and 6 large cars.

Kenzie will save 15% if she opens a credit card. She wants to buy a jacket for $120. How much will she save if she opens a credit card?​

Answers

Answer:

i think its 102 or 120-18

Step-by-step explanation:

i think cauee 10% of 120 is 12 and half of ten percent is 5 and 5% is 6

Answer:

she will save $18

Step-by-step explanation:

find 10% of the number. then find 5%. add the two answers together and you get $18.

10% of $120 = $12

5% of $120 = $6. (half 10%)

$12 + $6 = $ 18

sara bought x pounds of chocolate covered raisins, which sell for $1.50 a pound, and y pounds of yogurt covered raisins, which sell for $1.20 a pound. sara bought a total of 40 pounds of the two types of raisins for a total of $51.90." help me write a system of equations to model this scenario

Answers

x+y=40
1.50x+1.20y=51.90

i don't think u need me to solve it but ill do it anyway, so there's 3 methods: graphing, elimination, and substitution

substitution's my fave so that's what imma do

x+y=40
-x -x
y=40-x

1.50x+1.20(40-x)=51.90
1.50x+48-1.20x=51.90
.30x+48=51.90
-48 -48.00
.30x=3.9
divide both sides by .30
x=13 so 13 pounds of chocolate covered raisins

bring back the other equation
x+y=40
13+y=40
-13 -13
y=27 so 27 pounds of yogurt covered raisins

Proving a parallelogram side theorem.

Given ABCD is a parallelogram.

Prove: AB≈CD and BC ≈ DA

Answers

Answer:

just did it on edg, 2021

Hence, AB≈CD and BC ≈ DA

What is a parallelogram?

A four sided closed figure with all its sides parallel to its opposite side.

Consider two triangles ΔABD and ΔBCD

∠BCD=∠BCA( opposite angles are always equal)

∠ABD=∠BDC (AD||BC)

∠ADB=∠DBC(AD||BC)

ΔABD ≅ ΔBCD

AB≈CD by CPCTC

BC ≈ DA by CPCTC

Hence, proved

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hlp help help plsssssssssssss

Answers

Answer:

A

Step-by-step explanation:

Think about the square root of 64, which is 8. It will only be slightly higher than 8, which will not even be .5, so 8 is the closest number.

Please help !!!!!!!!!

Answers

Answer:

5

Step-by-step explanation:

3x -12 = -36

-36 ÷ -3 = 12

-7 + 12 = 5

Answer:

The value of -7 + 3(-12) ÷ (-3) is 5

Step-by-step explanation:

First: -7 + -36 ÷ (-3)

Second: -7 + 12

Third: = 5

Therefore your value of this equation is 5.

your welcome.

Find the area of the given triangles.

Answers

154 yd ²

the formula is (b • h) / 2 = A

so plug it in (14 • 22) / 2 = 154

A food truck sells tacos, burritos, and drinks.
Let event A = A customer buys a taco.
Let event B= A customer buys a drink.
What does P(A or B) = 0.45 mean in terms of this problem?

Answers

Answer:

b, the probability that a customer buys a taco, a drink, or both is 45%

P(A or B) = 0.45 means that there is a 45% probability that a customer will buy a taco or a drink from the food truck.

In terms of this problem, P(A or B) = 0.45 represents the probability that a customer buys either a taco (event A) or a drink (event B).

When we say "P(A or B)," it refers to the probability of either event A or event B occurring. In this case, it means the probability of a customer buying a taco or a drink from the food truck.

The value of 0.45 indicates the numerical probability associated with the event A or B. It represents the likelihood that a randomly selected customer from the food truck will purchase either a taco or a drink.

Therefore, P(A or B) = 0.45 means that there is a 45% probability that a customer will buy a taco or a drink from the food truck.

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which expression is equivalent to (6 •p) + 3 ?​

Answers

Answer:

3+(p.6)

Step-by-step explanation:

Answer:

3 + (p • 6)

Step-by-step explanation:

Question 4 of 15
When asked to find the sum of two mixed numbers with different
denominators, you should before you add.
A. round each fraction
B. find the difference
C. find a common denominator

Answers

“C” Os the correct answer

When asked to find the sum of two mixed numbers with different denominators, you should find a (C) common denominator before you add.

To add fractions with different denominators, it is necessary to find a common denominator for both fractions. Once the fractions have the same denominator, you can add or subtract the numerators while keeping the denominator unchanged. This allows for a meaningful addition of the fractions.

To find a common denominator, you need to determine the least common multiple (LCM) of the denominators. The LCM is the smallest multiple that both denominators can divide evenly into. Once you have the common denominator, you can convert each fraction to an equivalent fraction with that denominator and then perform the addition.

After finding the common denominator, you add the numerators of the fractions and keep the common denominator. This will give you the sum of the two mixed numbers with different denominators. The correct answer is C. find a common denominator.

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Can someone help please

Answers

Answer:

M=13

Step-by-step explanation:

Take the average of the two numbers:

(0+26)/2=13

13
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I don't want to see an link

If I do you will reported

Answers

I couldn’t put the answer here. The answer is in the link. Good luck!

quick.ly/A92BL

I’m just joking the answer is C
I’m pretty sure the answer would be C

Find the greatest common factor of 24x^2 and 42xy^3 .

Answers

Answer:

12y2

Step-by-step explanation:

Marissa has a yard service to help people in her neighborhood. She earns $15 for each lawn she mows, $10 for each yard she weeds, and $5 for each yard she rakes. This month Marissa spent $3 on flyers to send out to neighbors, she purchased a new blower for $26, and paid her brother $18 for helping her mow lawns. If Marissa mowed 4 lawns and raked 8 yards, how much money did she make in profit? 1. 53 2. 100 3. 36 4. 71

Answers

Answer:

100-47=53 so 53$ profit

Step-by-step explanation:

Among various populations of plants or animals, diseases spread exponentially. Use the function y = 6000(1 - e^-0.154)
to model the spread of the Avian Bird Flu disease among a flock of 6000 chickens on a chicken farm, with t equal to
the number of days since the first case of the disease. How many birds will be infected with the Flu after 6 days?
3560 chickens
C. 1280 chickens
356 chickens
d. 516 chickens
a.

Answers

Answer: A. 3560 chickens

Step-by-step explanation:

Plugged in the 6 days into the equation provided

Birds will be infected with the Flu after 6 days will be 3560 chickens

What is exponential?

An exponential function is a mathematical function of the following form: f ( x ) = a^x. where x is a variable, and a is a constant called the base of the function.

Given function: y = 6000(1 - [tex]e^{-0.15t}[/tex])

Total birds are =6000

Now, take t= 6 days.

So, y = 6000(1 - [tex]e^{-0.15t}[/tex])

y= 6000(1- [tex]e^{-0.15 * 6}[/tex])

 = 6000 (1-0.40656)

 = 6000*0.59343

 = 3560.58204

 = 3560 birds

Hence, 3560 birds get infected in 6 days.

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what is the area of a semicircle that has a radius of 30 feet

Answers

Answer:

1413 sq ft.

Step-by-step explanation:

Area of a semicircle=(1/2)*πr²

Radius=30ft

A=(1/2)*3.14*30²=1413 sq ft.

The expenses E and income I for making and selling T-shirts with a
school logo are given by the equations E = 535 +4.50n and I = 12n,
where n is the number of T-shirts.

Expenses: Slope=
Y-Intercept =


income: Slope=
Y-Intercept

Answers

Answer: n = 71.333

Step-by-step explanation: E (n) = 535 + 4.50
I (n) = 12n
E = I
535 + 4.5n = 12n
7.5 n = 535
n = 71.333
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