For what value of x does 64 superscript 3 x baseline = 512 superscript 2 x 12?

Answers

Answer 1

The value of x in the equation [tex]64^{3x} = 512^{2x}[/tex] is infinite

How to determine the value of x?

The equation is given as:

[tex]64^{3x} = 512^{2x}[/tex]

Rewrite [tex]64^{3x}[/tex] and [tex]512^{2x}[/tex] in base 2

[tex]2^{6*3x} = 2^{9*2x}[/tex]

Evaluate 6 * 3x and 9 * 2x

[tex]2^{18x} = 2^{18x}[/tex]

By comparing the exponents, we have:

18x = 18x

Divide both sides by 18x

1 = 1

Hence, the value of x in the equation is infinite

Read more about equation solutions at:

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Answer 2

Answer:

D) No Solution

Step-by-step explanation:


Related Questions

16. The population density of football stadium is.57 people per square foot. If the area of the stadium is 1,750,000 ft?,
then about how many people are in the stadium?

Answers

Answer:

99750000 people

Step-by-step explanation:

1,750,000*57=99750000

The seventh-grade class is building target areas for a PE activity. The bases for the game will be in a circular shape. If the area of each circular target is 28.26 square feet, what is the diameter of each circle? Use 3.14 for π and round your answer to the nearest tenth.

Answers

Answer: A) 7.1 square feet

Step-by-step explanation:

area of a circle= πr^2

given,

d=3 feet=3/2=1.5 feet

hence,

area of a circle= πr^2

= 3.14×(1.5)^2

= 7.065

=7.1 square feet.

Help me quickly!!
Brainliest + 50 points
No spammers allowed
Thanks in advance
:) :)

Answers

Answer:

x = 5

Step-by-step explanation:

Given coordinates: (3, 4) (x, 6)

Slope: 1

Use the slope formula to find the value of x:

Slope = y2 - y1 / x2 - x1

Substitute the given information into the formula:

1 = [tex]\frac{6-4}{x-3}[/tex]

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

Multiply both sides of the equation by the common denominator:

[tex]\frac{2(x-3)}{x-3} = x-3[/tex]

Reduce the fraction:

2 = x - 3

Rearrange variables to the left side of the equation:

-x = -3 - 2

Calculate:

-x = -5

Divide both sides with the coefficient of the variable:

x = 5

hope this helps!! p.s. i really need brainliest :)

Answer:

x = 5

Step-by-step explanation:

Slope formula

[tex]\sf slope=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\sf let\:(x_1,y_1)=(3,4)[/tex]

[tex]\sf let\:(x_2,y_2)=(x,6)[/tex]

[tex]\sf \implies slope=\dfrac{6-4}{x-3}=\dfrac{2}{x-3}[/tex]

As the slope equals 1:

[tex]\begin{aligned}\sf \implies \dfrac{2}{x-3} & =1\\\sf 2 & =\sf x-3\\ \sf 2+3 & =\sf x\\ \sf x & = \sf 5\end{aligned}[/tex]

Therefore, x = 5

h(x)= {1/x-5 , x=0
{-(x-4)^2, x=7
{ 3x-2, x~0,7
h(6)

Answers

Answer:

16

Step-by-step explanation:

h(x)=3x-2 in (0,7)

h(6)=3(6)-2=18-2=16

Use the equation A = bh to calculate the height of a parallelogram with an area of 36 square inches and a base of 9 inches

Answers

Answer:

4 inches

Step-by-step explanation:

A = b x h

A = 36

b = 9

36 = 9 x h

4 = h

height = 4 inches

PLEASE HELP

Given f(x) = - 5x + 2 g(x) = 1/2 * x + 4 and find f(g(x)) .

Answers

Answer:

-5x/2 - 30

Step-by-step explanation:

Oop I placed it in the wrong spot

Place the give into the formula

f(g(x)) = f(x/2+4)

Plug it in

-5(x/2+4)+2

Simplfy

-5x/2-20-10

Answer:

-5x/2 - 30

The Earth revolves around the Sun one year. How many
weeks, days, hours, minutes, and seconds are in a year?

Answers

Answer:

Weeks = 52

Days = 365

Hours = 8,760

Minutes = 525,600

Seconds = 3.1536 × 10^7

Step-by-step explanation:

Answer:

1 Year =

31540000 seconds.

525600 minutes.

8760 hours.

365 days.

52.1429 weeks.

12 months.

Step-by-step explanation:

Hey there!

You can do this by calculating all the numbers since you already know that there are 24 hours in a day, 12 months in a year and 365 days in a year

What is the volume of the cardboard container

Answers

Answer: The volume of the cardboard container is 516 centimeters cubed.

Explanation: The volume of a pentagonal prism is equal to the area of the base times the height of the pentagonal prism. The area of the base here is 43 centimeters squared and the height of the pentagonal prism is 12 centimeters. So we get 43 multiplied by 12, which equals 516, and the volume of a pentagonal prism is always written in cubes units, so our answer is that the volume of the cardboard container is 516 centimeters cubed.

Write an equation in slope-intercept form that is parallel to y - 5x = 10 and passes through the point (2, -4).

Answers

Answer:

y = 5x - 14

Step-by-step explanation:

*Parallel lines have the same slopes*

Rewrite your equation to slope-intercept form: y = mx + b

y = mx + b

m = slopeb = y-intercept (when x = 0)

y - 5x = 10 <== add 5x to both sides

   + 5x   + 5x

y = 5x + 10

The slope of the line that is parallel to this line is 5.

We need to find the y-intercept (b) for the parallel line using (2, -4):

y = 5x + b <== substitue 2 for x and -4 for y

-4 = 5(2) + b

-4 = 10 + b <== subtract 10 from both sides to isolate b

-10  -10

-14 = b

y = 5x + b changes to y = 5x - 14

Hope this helps!

y-5x=10y=5x+10

Slope:-

m=5

Parallel lines have equal slope

passes through (2,-4)

Equation in point slope form

y-y1=m(x-x1)y+4=5(x-2)y+4=5x-10y=5x-14

18. Without solving the radical equation VX + 5 + 9 = 0, how could you tell that it has no real solution?

Answers

Answer:

Has two unkown variables

Step-by-step explanation:

When there is only one equation provided with two unknown variables, it is difficult to solve for the unknown variables

The most simplified version of this equation would be VX = -14

More information would be needed to solve

A triangle has side lengths of (5n+3p)(5n+3p) centimeters, (9n+8q)(9n+8q) centimeters, and (6q+9p)(6q+9p) centimeters. Which expression represents the perimeter, in centimeters, of the triangle?

Answers

The expression that represents the perimeter of the given triangle in centimeters is;  14n + 10p + 14q

What is the perimeter of the triangle?

We are given the  side lengths of the triangle as;

5n + p; 9n + 8q; 6q + 9p

Now, the formula for perimeter of a triangle is;

Perimeter = a + b + c

where a, b and c are side lengths of the triangle. Thus;

Perimeter = 5n + p + 9n + 8q + 6q + 9p

Perimeter = 14n + 10p + 14q

In conclusion, we can sa that the perimeter of the given triangle is 14n + 10p + 14q.

Read more about Triangle Perimeter at; https://brainly.com/question/24382052

What is the domain and range?

Answers

Domain: [-∞, ∞]

Range: [-9, ∞]

7 Anton has some money saved for school. To increase the amount he has
saved, he got a job and added all the money earned to the amount already
saved.
I
• Anton was paid a constant rate in dollars per hour at his job.
• After working 10 hours, the amount he had saved was $450.
• After working 20 hours, the amount he had saved was $600.
Anton did not save any other money or spend any of the money he
had saved.
Which equation represents y, the amount of money in dollars Anton would
have saved after working x hours?
Select one answer.
Section 4
A y = 10x + 150
B y = 15x + 100
C y = 15x + 300

Answers

The linear function that represents the amount of money in dollars Anton would have saved is given by:

C y = 15x + 300

What is a linear function?

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

Taking the amounts from 10 and 20 hours, it is found that in 10 hours he saves $150, hence the slope is given by:

m = 150/10 = 15.

Considering that after working 10 hours, the amount he had saved was $450, and he saves $150 in 10 hours, his initial amount was given by:

b = 450 - 150 = 300.

Thus, the equation is given by:

y = 15x + 300.

Which means that option C is correct.

More can be learned about linear functions at https://brainly.com/question/24808124

Given that secA = 13/5, what is the value of cosA​

Answers

Answer:

cos A = 5/13

Step-by-step explanation:

sec A = 1/cos A

sec A = 1/cos A 13/5 = 1/cos A

cos A = 5/13

. mervin needs cash and he needs it now. he goes to advanced financial and takes out a loan of 300.00. advanced financial calls their loans mirco-loans and get to choose their own interest rates. if they set the rate at 70% per year, how much interest will mervin need to pay back in 5 months if interest compounds monthly? how much will he owe in 5 months using approximate equivalent growth?

Answers

Mervin's loan of $300 is an illustration of compound interest

The interest to pay back in 5 months is $74.2, and the amount to pay back in 5 months is $374.2

The interest to pay back in 5 months

The given parameters are:

Principal, P =$300.00Rate, r = 70%Time, t = 5 months

The compound interest is calculated as:

CI = P * (1 + r)^(t/12) - P

Substitute known values

CI = 300 * (1 + (0.70))^(5/12) - 300

Evaluate the expression

CI = 74.2

Hence, the interest to pay back in 5 months is $74.2

The amount to pay back in 5 months

The amount (A) is calculated using:

A = CI + P

This gives

A = 74.2 + 300

A = 374.2

Hence, the amount to pay back in 5 months is $374.2

Read more about compound interest at:

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(3+√3) x (2+√2) gr 9 maths sum from number system ans fast pls

Answers

(3+√3) x (2+√2)

6 + 3√2 + 2√3 + √3√2

6 + 3√2 + 2√3 + √6

Answer:

6 + 2√3 + 3√2 + √6

Step-by-step explanation:

The equation :

(3 + √3)(2 + √2)

Using Distributive Property,

3(2) + √3(2) + 3(√2) + (√3)(√2)6 + 2√3 + 3√2 + √6

Pls help! I really need help! This is the question..
A sample of iron has dimensions of 2 cm x 4 cm x 6 cm and a mass of 100g. What is the density of the sample?

Answers

Answer:

2.083 g/[tex]cm^{3}[/tex]

Step-by-step explanation:

Density is mass / volume

volume = length * width * height

(In this case since iron is usually in a block unless stated otherwise)

100g / (2*4*6)cm^3 = density

100g / [tex]48 cm^{3}[/tex] = 2.083 g/[tex]cm^{3}[/tex]

What is the radius and diameter of the following circle?
14 cm

Answers

Answer:

Diameter : 14 cm

14÷2=7

Radius : 7

Step-by-step explanation:

Diameter is two time the Radius

Maria bought a laptop computer for $850. The value of the computer depreciates about 25% each year. After 3 years, she decides to sell it to her younger brother. What is a fair price for the computer?

Answers

Using the depreciation formula:


start value x percent of value^time


850 x 0.75^3 = $358.59


answer: $358.59

Answer: $358.59

Step-by-step explanation:

[tex]$$After one year the laptop computer's price is:$$\begin{aligned}&=\$ 850-\$ 850 \times 25 \% \\&=\$ 850-\$ 212.5 \\&=\$ 637.5\end{aligned}$$[/tex]

[tex]$$ Again two year the computer's price is:$$\begin{aligned}&=637.5-25 \% \text { of } 637.5 \\&=637.5-159.375 \\&=\$ 478.125\end{aligned}$$[/tex]

[tex]\bold{\text { So a fair price for the computer is } \$ 358.59}[/tex]

[tex]\begin{aligned}\\\bold{Or}\text { Simply Calculate as } &=(\text { Purchase price }) \times(1-25 \%)^\text{time} \\&=850 \times(1-0.25)^{3} \\&=850 \times(0.75)^{3} \\\bold{&=\$358.59}\end{aligned}[/tex]

So I need help trying to answer these triangle problems. I don't know how to find the measure of an angle

Answers

Answer:

try using a protractor

Step-by-step explanation:

when you use a protractor it can be easier and collect all like terms together

What is the sum? 2x/x2 + x-4/9x

Answers

Answer:

(x² + 14x)/(9x²)

Step-by-step explanation:

To do this calculation process:

The first term: 2x/x² = 2/x.

Then: (2/x) + (x - 4)/(9x).

We should common the denominator by multiplying the denominators of the two terms (9x)(x) = 9x² and dividing each denominator by the common denominator.

So, it will be equal:

[(2)(9x) + (x - 4)(x)]/9x² = (18x + x² - 4x)/9x² = (x² + 14 x)/9x².

Express as a fraction in the simplest form: 43.5%

a. 435/1000

b. 870/200

c. 87/200

Answers

Answer:

C

Step-by-step explanation:

43.5 x 10 = 435

435/1000 = 87/200 (simplified)

A punch bowl contained 2 liters of soda, 1 liter of orange juice

Answers

The total would be 3 liters

what is the answer forAt a sale, suits were sold for $72 each. This price was 45% of a suit's original price. How much did a suit originally cost?

Answers

Answer:

160

Step-by-step explanation:

72=0.45x

72/0.45=x

x=160

On a standardized exam, the scores are normally distributed with a mean of 300 and a standard deviation of 20. Find the z-score of a person who scored 270 on the exam.

Answers

Answer:

z = -1.5

Step-by-step explanation:

To Find z-score

z = (X - μ) / σX = Test scoreμ = Mean σ = Standard Deviation

Given

X = 270μ = 300σ = 20

Solving

z = 270 - 300 / 20z = -30/20z = -1.5

A map is drawn using the scale of 1 cm to 8 miles. The distance between two towns on the map is 7.5 cm. Work out the actual distance between the two towns.​

Answers

Answer:

60 miles

Step-by-step explanation:

[tex]\frac{1}{8}*\frac{7.5}{7.5}=\frac{7.5}{60}[/tex]

Remember these are ratios!

Hence, they are 60 miles apart

Please check if I’m right or not!

Answers

Answer:

1, 3, and 4 are CORRECT

2 is wrong.

Step-by-step explanation:

In #2

-9(x + 4) Multiply by using distributive property. The -9 must be multiplied to both the terms in the parenthesis.

so you should get:

-9x - 36

Why wont anyone give me just the answers when i need them?

Answers

Answer:

id.k maybe because people are busy ,

i think the same as you.

Step-by-step explanation:

But where is the question please

Tell which set or sets the number below belongs​ to: natural​ numbers, whole​ numbers, integers, rational​ numbers, irrational​ numbers, or real numbers.
26

Part 1
Select all that apply.
A.
irrational numbers
B.
whole numbers
C.
real numbers
D.
natural numbers
E.
integers
F.
rational numbers

Answers

Answer:

26 is a:

B. Whole number

D. Natural number

E. Integer

F. Rational number

Answer:

B, C, D, E, F or all options except A

Step-by-step explanation:

26 is not an irrational number since irrational numbers cant be put in fraction form while 26 can be. ex: 26/1, 52/2 and so on

26 is a whole number.

whole numbers are 0 1 2 3 4 and so on

26 is a real number

imaginary number example: sqrt of -2

natural numbers are numbers going from 1 to infinity

integers are any number that is not a decimal.

26 is rational since it's not irrational.

what expression is equivalent to 1/4 (x+24)​

Answers

Hemos agotado las posibilidades de este tema. Por favor verifica la expresión ingresada o prueba con otro tema.
1
4
(
x
+
24
)
hello!

Use the Distributive Property, which states the following:-

[tex]\sf{a(b+c)=ab+ac}[/tex]

Where

we distribute a by multiplying it times b and c

a, b, and c can be either constants (numbers) or variables (letters)

Distribute:-

[tex]\sf{\displaystyle\frac{1}{4}(x+24)}}[/tex]

Multiply the term before the parentheses by the terms inside the parentheses:-

[tex]\sf{\displaystyle\frac{1}{4} x+6}}[/tex]

note:-

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)

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