Find the value of x for which (2)^3x = 8^2.​

Answers

Answer 1

Answer:

x = 2

Step-by-step explanation:

Using the rule of exponents

[tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex]

[tex](2)^{3x}[/tex] = [tex]2^{3x}[/tex] and 8 = (2³ )² = [tex]2^{6}[/tex] , so

[tex]2^{3x}[/tex] = [tex]2^{6}[/tex]

Since the bases on both sides are equal, both 2, equate the exponents

3x = 6 ( divide both sides by 3 )

x = 2


Related Questions

10x - 12y = 22
5x - 6y = 11 elimanation

Answers

Answer:

This is an identity or infinite solutions

Step-by-step explanation:

10x - 12y = 22

5x - 6y = 11

-2(5x - 6y = 11 )

-10x + 12y = -22

10x - 12y = 22

0=0

Identity solution

Answer:

2(5x - 6y = 11)= 10x - 12y = 22 so they are the same equation

Step-by-step explanation:

At a baseball game, a vender sold a combined total of 234 sodas and hot dogs. The number of sodas sold was two times the number of hot dogs sold. Find the
number of sodas and the number of hot dogs sold

Answers

Answer:

They sold 78 Hot Dogs and 156 Sodas

Step-by-step explanation:

Hope this Helps

WILL GIVE BRAINLIEST!!! (look at photo if confused)

Match each pair of equivalent expressions on the left with the appropriate property on the right.

3(x multiplied 4) = (3x) x 4

4(x + 5) = 4x + 20

2 + 7x = 7x + 2

Properties

A. Commutative property
B. Associative property
C. Distributive property

Answers

Answer:

4(x + 5) = 4x + 20 is C

2 + 7x = 7x + 2 is A

3(x multiplied 4) = (3x) x 4 is B

Step-by-step explanation:

Answer:

give other person brainliest!!! this is his alt

Step-by-step explanation:

Madelyn uses 58 beads to make a necklace. She plans to sell 36 necklaces at
each craft fair she goes to this summer. She plans to go to 4 craft fairs this
summer. What is the total number of beads that Madelyn will use to make the
necklaces she plans to sell at the 4 craft fairs?

Answers

58x36=2088 (the total of beads used at 1 crafts fair)

Take that total and multiply it with 4
2088x4 =8352 (total amount of beads for 4 craft fairs)
58 beads for 1 necklace
X beads for 144 necklaces
X= 58•144/1
X= 8,352 beads

36 necklaces at each fair, she is planing on going to 4 fairs, 36•4=144. She is planing on selling 144 necklaces.

Answer is: 8,352 beads

A function is shown.
g(x) = 125()
What is the value of g(6)?
PLEASE HELP ASAP

Answers

The correct answer is A
the answer is A i think

Find the slope (12,2),(18,-2)

Answers

Answer:

[tex]\frac{-2}{3}[/tex]

Step-by-step explanation:

y2-y1/x2-x1

-2-2/18-12

-4/6

-2/3

Xander is starting his own small business. He borrows $10,000 from the bank at a 4% rate for 5 years. Find the interest he will pay on this loan.

Answers

Answer:

$6000

Step-by-step explanation:

Given data

Principal=$10000

Rate=4%

time=15years

The simple interest id found by

SI=PRT/100

substitute

SI=10000*4*15/100

SI= 600000/100

SI=$6000

Hence the interest is $6000

Which expression is the factorization of x^2+10x+21?

Answers

Answer:

To factor a trinomial in the form Ax^2 + Bx + C when the A = 1.  You need to find the factors of C that when added or subtracted will give you B.  

Factors of 21 are either 1,21 or 3,7.  Since +3 and +7 will give you 10 then those will be the two factors you will use.

Factoring x^2+10x+21 will give you (x+3)(x+7)

Step-by-step explanation:

Answer:

(x+3)(x+7)

Step-by-step explanation:

To factor a trinomial in the form Ax^2 + Bx + C when the A = 1.  You need to find the factors of C that when added or subtracted will give you B.  

Factors of 21 are either 1,21 or 3,7.  Since +3 and +7 will give you 10 then those will be the two factors you will use.

Factoring x^2+10x+21 will give you (x+3)(x+7)

Uma bicicleta está sendo vendida pelo valor de R$ 500, 00. À vista ela tem um desconto de 10%. Paulo está juntando o dinheiro de seus "bicos" para comprar essa bicicleta à vista. Quanto Paulo precisa juntar para comprar essa bicicleta à vista? * R$500, 00 R$450,00 R$400,00 R$350,00

Answers

Answer:

the money that should be collected in cash is 450

Step-by-step explanation:

The computation of the money that should be collected in cash is shown below:

= Sale price - sale price × given discount

= 500 - 500 × 10%

= 500 - 50

= 450

Hence, the money that should be collected in cash is 450

Plz plz plz plz plz helpppppppppppppp ​

Answers

Answer:

No I do not think I can help you with this particular problem as my expertees will not provide me with a given answer

if i can make 60 cakes in 15 minutes , how many can i make per minute what is the unit rate

Answers

4 per a minute

Step-by-step explanation:

What is the value of x? 12 inches 7 inches 49 inches 35 inches. ​

Answers

Answer:

98 inches or 8.16667 feet

Step-by-step explanation:

(12 + 7 + 45 + 35) = 98 divided by 12 = 8.16667

-4x+y=23 and 4x-9y=-15

Answers

Answer:  x= -6; y= -1

Step-by-step explanation:

-4x + y = 23

4x - 9y = - 15

-4x + y = 23

      y = 23 + 4x     [Add 4x to both side]

4x - 9(23 + 4x) = - 15

4x - 207 - 36x = - 15

-32x - 207 = -15

-32x = 192             [Add 207 to both side]

    x = -6                [Divide -32 from both side]

-4x + y = 23

-4(-6) + y = 23          [Plug in -6 for x]

24 + y = 23              [Subtract 24 from both side]

       y = -1


Which of the following are written in point-slope
form?
a) y = 4x + 6
b) y + 3 = -2(x – 6)
c) x + y = 10
d)y- 1 = 5(x + 7)


Answers

The answer is A because y= 4x + 6 is similar to y = mx + b
the answer is b not a!!

Melissa has an outstanding credit card balance of $2200. Interest is charged at a rate of %15 p.A. The amount that Melissa must pay off the card is how much?

Answers

Answer:

$25,300

Step-by-step explanation:

Amount to be paid = interest + amount outstanding

Interest = 0.15 x $2200 = $330

Amount to be paid = $2200 + $330 = $25,300

It takes a new mail carrier 4 hours to deliver the mail on route a. It takes an experienced mail carrier 3 hours to do the same job. How long would it take if they worked together?

Answers

Answer: [tex]\frac{12}{7}\ \text{hours}[/tex]

Step-by-step explanation:

Given

New mail carrier takes 4 hours for delivery i.e.

New mail carrier completes [tex]\frac{1}{4}[/tex] part of work in 1 hour

Old mail carrier takes 3 hours for delivery  i.e.

mail carrier completes [tex]\frac{1}{3}[/tex]  part of work in 1 hour

If they work together, they complete the work in x hours i.e.

[tex]\Rightarrow \dfrac{1}{x}=\dfrac{1}{4}+\dfrac{1}{3}\\\Rightarrow \dfrac{1}{x}=\dfrac{3+4}{12}\\\Rightarrow x=\dfrac{12}{7}\ \text{hours}[/tex]

What is the leading coefficient of the polynomial?
5z^3 - 2z^4 -9z^2 + z

Answers

Answer:

- 2

Step-by-step explanation:

The polynomial expressed in standard form is

- 2[tex]z^{4}[/tex] + 5z³ - 9z² + z

The leading coefficient is the coefficient of the first term of the polynomial in standard form, that is

leading coefficient is - 2

I will give brainliest

Answers

Please mark me as brainliest ❤️

Answer:

Yeah it's 14, but you can mark the other person brainliest

Step-by-step explanation:

I need to know the answer to this plz!!

Answers

Answer:

I think the answer is C=100

Step-by-step explanation:

Hope this right.But if it's not,im so sorry

Step-by-step explanation:

it's 100 bro definitely 100 being honest

32
Which set of values makes the inequality n > -5 true?
A
{-5, -5.5, -6}
B
{-5, -4.5, -3}
С
{-6,0,5}
D
{-6, -7,-8}

Answers

Answer:

B

Step-by-step explanation:

≥ means that it is greater than or equal to.

Any set that has all numbers over or equal to -5 would be correct, meaning that -5, -4.5, and -3 would be correct.

Hope this helps. Have a nice day.

Inequalities help us to compare two unequal expressions. The set of values makes the inequality n > -5 true is {-5, -4.5, -3}.

What are inequalities?

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.

It is mostly denoted by the symbol <, >, ≤, and ≥.

As we need to find the values that will satisfy the inequality n≥-5, therefore, we need values that are greater than or equal to -5.

Hence, the set of values makes the inequality n > -5 true is {-5, -4.5, -3}.

Learn more about Inequality:

https://brainly.com/question/19491153

Can someone help me on this mess...

Answers

Answer:

sas

Step-by-step explanation:

Answer:

one attachment ex picture

I need to know this answer right now please help and thank you

Answers

Answer:

your answer would b b haha puns

Equation practice with angle addition
Find m

Answers

25 is the answer to this problem


Question:
Cube A has a volume of 128 cm. If the edge lengths of cube B are half the size of the edge lengths of cube A, what is the volume of cube B?
cube A
cube B
V = 128 cm
V = ?
o 16 cm3
O 64 cm3
O 32 cm
Cannot be determined

Answers

Answer:

16 cm3

Step-by-step explanation:

4 x 4 x 8 = 128

2 x 2 x 4 = 16

Answer:16 cm

Step-by-step explanation:

Billy Bob has $4,500 in his bank account, which earns interest at a rate of 2.5% per
year. How much money will he have after 15 years?
Round to the nearest cent.

Answers

Answer:

168750

Step-by-step explanation:

4500x2.5=11250x15=168,750 very simple math my friend

Choose one answer
Pls fast anyone

Answers

Answer:

[tex]x=10[/tex]

Step-by-step explanation:

Pythagorean theorem: [tex]a^{2}+b^{2}=c^{2}[/tex]

Answer:

B

Step-by-step explanation:

Pythagorean theorem states that a²+b²=c²

Through observation, I assumed that 8 was the hypotenuse

I sqaured both the known lengths of the leg and hypotenuse and plugged them into the equation: a²+36=64

I subtracted 36 from 64 leaving me with 28=a²

Then in order to isolate the variable I had to apply square root to both values, cancelling the "²" and leaving me with √28=a

Someone plz help in this math question

Answers

Answer:

BDA=52 angles at the centre is equal to 2× angles at circumference

what is the answer to this question?
What is the factored form of 6x2 + 11x – 10?

(2x + ) (x – )


Will give brainliest if you are correct!

Answers

Answer:

11x+2

Step-by-step explanation:

Given d(t) = -2t^2 - 3t + 13, what is the
value of d(-3)?
A) d(-3) = 4
B) d(-3) = 40
C) d(-3) = 58
D) d(-3) = -14

Answers

Answer:

I'm pretty sure b is the answer

What is the equation for a function that has a slope of 2/3 and runs
through the point (6, 18)?
Please help me

Answers

The answer is: y = 2/3x - 14
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