If (4^4)^x = 43^2, what is the value of x?

Answers

Answer 1

Answer:

  x ≈ 1.346566

Step-by-step explanation:

The given equation simplifies to ...

  256^x = 1849

Taking logs, you have ...

  x·log(256) = log(1849)

  x = log(1849)/log(256)

  x ≈ 1.356566

If (4^4)^x = 43^2, What Is The Value Of X?

Related Questions

A 2000 kilogram sports car accelerates at a rate of 30 meters per second squared. The velocity of the car is v= at, where a us acceleration in meters per second squared, and t is time in seconds. The Kinetic energy of the car is me=1/2mv^2

Answers

Answer: KE= 900,000t^2

Step-by-step explanation:

PLEASE HELP, WILL GIVE MAX POINTS IF CORRECT. Look at the diagram of the tennis court below. The diagram contains examples of line segments, angles, planes, and vertices. Write the geometric term that best describes each part of the tennis court.


a. Playing Surface

b. Corner of Serving Box

c. Baseline

d. Net

e. Intersection of Baseline and Side Line

Answers

The geometric terms that best describes each part of the tennis court are Playing Surface ⇒ Plane and Corner of Serving Box ⇒ Vertex

How to determine the geometric terms?

There are several geometric terms; some of them are:

Vertex: This represents a cornerLine (or line segment): used to illustrate distance between endpointsPlane:- This represents a surfacePoint: Used to represent intersections at a point

Using the above definitions, the geometric terms that best describes each part of the tennis court are

Playing Surface ⇒ PlaneCorner of Serving Box ⇒ VertexBaseline ⇒ LineNet ⇒ PlaneIntersection of Baseline and Side Line ⇒ Line

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Answer:

c

Step-by-step explanation:

For number 1 the second part I really don’t understand

Answers

Answer:

hundred thousands

Step-by-step explanation:

You would move it to the left one place, so it would be the hundred thousands place.

Answer: The answer is hundred thousands place.

Step-by-step explanation: The question is wanting you to name the space the 8 is in. So 10's, 100's, 1000's and so on. But in this case an 8 in the hundred thousand's place has 10 times more value then an 8 in the ten thousand's place.

If they work together, Mark and Yvonne can sort 50 library books in 1.5 hours. Working alone, it would take
Yvonne 5 hours to do the same job. How long would it take Mark if he worked alone? Express your answer in
hours and minutes.
veres
e out of

Answers

Answer:

B

Step-by-step explanation:

The front of a box is a square with an area of 175 square units. What would be the best represents S, the length of the edge of the front of the box in units? Round your answer to the nearest tenth.

Answers

Answer:

  13.2

Step-by-step explanation:

√175 ≈ 13.2 . . . units

The area of a square is the square of the edge length. Hence, the edge length is the square root of the area.

Solve for x: −6 < x − 1 < 9
a. 5 < x < 10
b. −5 < x < 10
c. −5 > x > 10
d. 5 > x > −10

Answers

Answer:

-5 < x < 10

Step-by-step explanation:

−6 < x − 1 < 9 just get rid of -1 by adding 1 to all three terms

-6 + 1 < x -1 + 1 < 9 + 1

-5 < x < 10

Answer:

| − 2 | − 7 2 x− 9 ⋅ 5 x − 4  − 6 ( y − 3 )

Step-by-step explanation:

Water boils at different temperatures at different elevations. The boiling temperature of water is 212 degrees * F sea level (0 feet ) but drops about 1.72 degrees * F for every 1,000 feet of elevation. Write a formula for the boiling point at a given elevation. Then solve the formula for the elevation when the boiling point for water is 190 degrees F.

Answers

Answer:

The elevation when the boiling point of water is [tex]190[/tex] °[tex]F[/tex] is 12790.70 feet

Step-by-step explanation:

Let every 1,000 feet of elevation be [tex]x[/tex]. Hence, we can write

[tex]T = 212[/tex] [tex]- 1.72x[/tex]

Where [tex]T[/tex] is the boiling temperature of water at different elevations

Now, to the determine the elevation when the boiling point of water is [tex]190[/tex] °[tex]F[/tex].

We will determine [tex]x[/tex] by putting [tex]T = 190[/tex] °[tex]F[/tex].

Hence,

[tex]T = 212[/tex] [tex]- 1.72x[/tex]

[tex]190[/tex]  [tex]= 212[/tex]  [tex]- 1.72x[/tex]

[tex]190 - 212[/tex]    [tex]= - 1.72x[/tex]

[tex]- 22[/tex]  [tex]= - 1.72x[/tex]

[tex]22 = 1.72x\\x = \frac{22}{1.72} \\x = 12.79070[/tex]

Since [tex]x[/tex] represents every 1,000 feet of elevation, then the elevation when the boiling point of water is [tex]190[/tex] °[tex]F[/tex]

[tex]12.79070[/tex] × [tex]1000\\[/tex] [tex]= 12790.70[/tex] feet

Hence,  the elevation when the boiling point of water is [tex]190[/tex] °[tex]F[/tex] is 12790.70 feet

110 +0.70x = 50+ 0.90x​

Answers

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = 300}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{110 + 0.70x = 50 + 0.90x}[/tex]

Move 0.90x to left hand side and change it's sign

⇒[tex] \sf{0.70x - 0.90x + 110 = 50}[/tex]

Move 110 to right hand side and change it's sign

⇒[tex] \sf{0.70x - 0.90x = 50 - 110}[/tex]

Collect like terms

⇒[tex] \sf{ - 0.2x = 50 - 110}[/tex]

Calculate

⇒[tex] \sf{ - 0.2x = - 60}[/tex]

Divide both sides of the equation by -0.2

⇒[tex] \sf{ \frac{ - 0.2x}{ - 0.2} = \frac{ - 60}{ - 0.2} }[/tex]

Calculate

⇒[tex] \sf{x = 300}[/tex]

Hope I helped!

Best regards!!

solve the simultaneous equation 3x-2y=7 7x+2y=13

Answers

Answer: x= 2, y= -1/2

Step-by-step explanation:

The value of x is 2 and y is -1/2

equations are  3x-2y=7 --1

                         7x+2y=13 --2

lets  consider  3x-2y=7 as equation 1,

       consider  7x+2y=13 as equation 2

by putting both the equations :-

              3x-2y=7

               7x+2y=13

we get  10x=20

           x=20/10

           x=2

Now by putting the value of x in equation 1;

3(2)-2y=7

6-2y=7

-2y=1

y=-1/2

What is a simultaneous equation?

Simultaneous equations are two or more algebraic equations that share variables e.g. x and y. They are called simultaneous equations because the equations are solved at the same time. Each of these equations on its own could have infinite possible solutions.

What is meant by algebraic equation?

algebraic equation, a statement of the equality of two expressions formulated by applying to a set of variables the algebraic operations, namely, addition, subtraction, multiplication, division, raising to a power, and extraction of a root.

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Solve the inequality d – 6 < –0.5 and graph the solutions.

Answers

Answer:

Hope it will help you :)

Step-by-step explanation:

d-6<-0.5

Adding 6in both sides to find out the value of d

d-6+6<-0.5+6

d<5.5

Solution set={d/d<5.5}

In a theater, there are 20 chairs in the first row, each row has 4 more chairs than the previous row, and there are 15 rows. How many chairs are there in the theater?

Answers

Answer:

There are a total of 720 chairs in the theater

Step-by-step explanation:

First row = 20 chairs

Second row = 24 chairs

Third row = 28 chairs

The given is an arithmetic progression (A.P)

First term

a = 20

Common difference

d = 4

Number of terms

n=15

Sum of the chairs in the theater with a total of 15 rows

Sum of an A.P = n/2 { 2a + (n-1) d}

= 15/2{ 2*20 + (15-1) 4}

= 7.5 { 40 + (14) 4 }

= 7.5 { 40 + 56}

= 7.5(96)

=720 chairs

-6(1 + 2v) – 7(v + 1) = -13

Answers

The answer is V=0.3157=0.32

A(0,a) is equidistant from P(3,-3) and Q(-2,2). Find a.

Answers

Answer:

a = - 1

Step-by-step explanation:

Given the points are equidistant from A then AP = AQ

Calculate the distance using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = A(0, a) and (x₂, y₂ ) = P(3, - 3)

AP = [tex]\sqrt{3-0)^2+(-3-a)^2}[/tex] = [tex]\sqrt{3^2+(-3-a)^2}[/tex] = [tex]\sqrt{9+(-3-a)^2}[/tex]

Repeat with (x₁, y₁ ) = A(0, a) and (x₂, y₂ ) = Q(- 2, 2)

AQ = [tex]\sqrt{(-2-0)^2+(2-a)^2}[/tex] = [tex]\sqrt{(-2)^2+(2-a)^2}[/tex] = [tex]\sqrt{4+(2-a)^2}[/tex]

Equating AP and AQ

[tex]\sqrt{9+(-3-a)^2}[/tex] = [tex]\sqrt{4+(2-a)^2}[/tex] ( square both sides )

9 + (- 3 - a)² = 4 + (2 - a )² ← expand parenthesis on both sides

9 + 9 + 6a + a² = 4 + 4 - 4a + a² ( subtract a² - 4a from both sides )

18 + 10a = 8 ( subtract 18 from both sides )

10a = - 10 ( divide both sides by 10 )

a = - 1

The value of a is -1 if A(0,a) is equidistant from P(3,-3) and Q(-2,2) the answer is a = -1.

What is an ordered double?

It is defined as a representation of coordinates in a two-dimensional coordinate plane. It has a list of two elements in it, such as (x, y).

[tex]\rm Area = |\dfrac{(x_1y_2-y_1x_2)+(x_2y_3-y_2x_3)....+(x_ny_1-y_nx_1)}{2}|[/tex]

It is given that:

A(0,a) is equidistant from P(3,-3) and Q(-2,2).

It is required to find the value of a:

Using the distance formula:

The distance formula can be given as:

[tex]\rm d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

AP = AQ

[tex]\rm \sqrt{(3-0)^2+(-3-a)^2} = \sqrt{(-2-0)^2+(2-a)^2}[/tex]

After simplification:

9 + (3 + a)² = 4 + (2 - a)²

9 + 9 + 6a + a² = 4 + 4 - 4a + a²

18 + 10a = 8

10a = - 10

a = - 1

The arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division.

Thus, the value of a is -1 if A(0,a) is equidistant from P(3,-3) and Q(-2,2) the answer is a = -1

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solve the equation
2x + 4x -7=5
×=

Answers

Answer:

soln,

6x=12

so,x=2.........

Write 10 × 10 × 10 with an exponent. Explain how you decided which exponent to write.

10 x 10x 10 = Sinceit is used as a multiplied factor times, the exponent is

Answers

10^3 is the answer to this

What is the image of the point (8, -3) after a rotation of 90° counterclockwise about
the origin?

Answers

Answer:

[tex]\huge\boxed{(3, 8)}[/tex]

Step-by-step explanation:

When we rotate a point 90° counterclockwise around the origin, it's the same as rotating it 270° clockwise around the origin.

When we rotate something 270° clockwise around the origin, the original coordinates (x, y) becomes (-y, x).

y is -3, and -(-3) is just 3, since two negatives make a positive.

x just remains x, but it's in a different position.

This makes the new coordinate [tex](3, 8)[/tex].

Hope this helped!

Solve for all values of x in simplest form 1+3|x-5|=10

Answers

Answer:

x = 8                          x = 2

Step-by-step explanation:

1+3|x-5|=10

Subtract 1 from each side

1-1+3|x-5|=10-1

3|x-5|=9

Divide by 3

3/3|x-5|=9/3

|x-5|=3

There is a positive and negative solutions

x-5 =3            x-5 = -3

Add 5 to each side

x-5+5 = 3+5           x-5+5 = -3+5

x = 8                          x = 2

Answer:

[tex]x=2,8[/tex]

Step-by-step explanation:

So we have the equation:

[tex]1+3|x-5|=10[/tex]

First, subtract 1 from both sides:

[tex]3|x-5|=9[/tex]

Now, divide 3 from both sides:

[tex]|x-5|=3[/tex]

Definition of absolute value:

[tex]x-5=3\text{ or }x-5=-3[/tex]

For the left, add 5 to both sides.

For the right, add 5 to both sides:

[tex]x=3+5\text{ or } x=-3+5\\x=8\text{ or }x=2[/tex]

Thus, the answers are:

[tex]x=2,8[/tex]

It is a customer appreciation week at the vans shoe outlet, Which means all customers are given a 20% discount on all items. A customer comes in with an birthday coupon for an additional 10% off any shoe item, once the first discount has been applied. The customer buys 3 pairs of shoes for $120.00 each. After the two discounts how much does the customer pay?

Answers

Answer:

$278.40

Step-by-step explanation:

Note: "...an additional 10% off any shoe item, once the first discount has been applied." (emphasis added).

Note that the customer is buying 3 pairs of shoes for $120 each: 120 x 3 = $360

The first discount is the 20% discount  (on every single item), the second discount is the 10% discount coupon of of any item (which signifies one item only).

Solve for the first discount:

$360 x 0.20 = $72

$360 - 72 = $288.

Next, divide $288 by 3 (to get the individual prices of the shoes:

$288/3 = $96.

The customer then uses a birthday coupon for one of the shoes, which gives an additional 10% off.

$96 x 0.10 = 9.6

$96 - 9.6 = $86.4

Remember, the other two shoes still cost $96 each. Add the price together:

$96 + $96 + $86.4 = $278.40

$278.40 will be the total.

~

Answer:

278.40

Step-by-step explanation:

¿Un camión de carga lleva 32 costales de maíz de 20.5 Kg. Cada uno y 19 con un peso de 48.75 Kg. Cada uno. ¿Cuántos kilogramos de maíz lleva el camión?

Answers

Answer:

1,582.25 kilogramos

Step-by-step explanation:

Para determinar los kilogramos de maíz que lleva el camión, se debe multiplicar el peso de los dos tipos de bultos que lleva por la cantidad de cada uno y sumar estos valores para obtener la respuesta:

(20.5*32)+(48.75*19)=656+926.25=1,582.25

De acuerdo a esto, el camión lleva 1,582.25 kilogramos de maíz.

Write an equation in point-slope form for the line with the given information 1.slope=1/5;(2,6) 2.slope=0;(3,-7) 3.(-2,2)&(2,-2) are on the line. 4.(1,1)&(-5,3) are on the line

Answers

Answer:31

Step-by-step explanation:

Need help (no beginners)

Answers

Answer:

None of the above

Step-by-step explanation:

-5/2 is not equal to 5/2

5/2 - 39/8 = -19/8

if you calculate the two options you will see that none of them is equal to -19/8

c) 28 - 11
-7
[tex] \frac{28}{ - 7} - 11[/tex]

Answers

Answer:

Step-by-step explanation:

-4 - 11 = -15

is 0.35 a rational or irrational number

Answers

Answer:

I think its rational

Step-by-step explanation:

Answer: 0.35 is rational! :D Hopefully this will help others as well!

Step-by-step explanation:

Brandon bought 21 chicken wings for $39.90. How much would it cost for 15 wings?

Answers

Answer:

$28.50

Step-by-step explanation:

21 chicken wings= $39.90

1 chicken wing= 39.90÷21= $1.90

15 chicken wings= 15×1.90= $28.50

Help plz the Question is on the attached file

Answers

Answer:

9 eazy

Step-by-step explanation:

Answer:

B.9

Step-by-step explanation:

3^4=81

3^2=9

81/9=9

2 feet to 40 inches (ratios)

Answers

[tex]\boxed{3:5}[/tex]

We need to first change the measurement of 2 feet to inches, and then find the most simplified version of the resulting ratio.

2 feet = 24 inches (1 foot = 12 inches)

Ratio: 24:40

Simplify ratio:

24/8 = 3

40/8 = 5

Ratio: 3:5

Therefore, the simplified ratio is 3:5 inches.

Someone help me!!!! To solve this :):):):) My brain is not functioning. Please Help as soon as can thank you

Answers

Answer:

The first one is a linear function with the slope of 3 with no shift. the second is a vertical line on the 2 of the x axis. the third is a horizontal line on the -3 of the y axis.

*DIFFICULT QUESTION PLEASE PLEASE ANSWER* An ice cream machine offers three flavors: vanilla, chocolate, and strawberry. Each flavor can be served as a milkshake, in a cone, or in a cup. What is the probability of a customer choosing either a strawberry milkshake or cone? a.) 60% b.) 40% c.) 12% d.) 20%

Answers

Answer:

c.) 20%

Step-by-step explanation:

•1/3 chnace of picking Strawberry flavor

•2/3 chance of picking a milkshake or cone serving

(1/3)*(2/3)=2/9=0.222...(approx.)=0.20=20%

Edit for more clarification:

If you have a situation where multiple outcomes are favorable ("or" statements) then you add the odds together. The customer here wouldn't have minded a milkshake or a cone, so we add their odds together to get 2/3.

If you have a situation where a specific combination of outcomes is favorable ("and" statements) then we multiply the odds. The customer would be getting a flavor and a type of serving, so we multiply the odds of each combination together.

(Note that this is technically a simplified version of the general formulas/equations for probabilities so if you go look them up on the internet they might include some other ideas.)

Answer:C

Step-by-step explanation:

quiz says it was right

Find two consecutive integers(with the least sum) whose sum is at least 107

Answers

Answer:

53 and 54

Step-by-step explanation:

x + (x+1) = 107

2x+1 = 107

2x = 107

x = 53

x+1 = 54

Rewrite the function by completing the square. f(x)=x^{2}+2x+26

Answers

Answer:

x = 4 + √3 and  x = 4 − √3

Step-by-step explanation:

(a−b)^2=a^2−2ab+b2

a^2−b^2=(a−b)(a+b)

−2x^2+16x−26

=−2(1x^2−8x+13)

=−2(x^2−8x+13+3−3)

=−2(x^2−8x+16−3)

=−2(x^2−2(4)x+4^2−3)

=−2((x−4)^2−3)

=−2((x−4)^2−(√3)^2)

=−2((x−4)−√3)((x−4)+√3)

=−2((x−(4+√3)((x−(4−√3))

The zeros of the given algebraic expression are:

−2x^2+16x−26=0

−2((x−(4+√3)((x−(4−√3))=0

x = 4 + √3 and  x = 4 − √3

I strongly suggest using the quadratic formula as this problem is much easier to solve using it.

x = (−b ± [tex]\sqrt{b^{2}-4ac }[/tex] ) / 2

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