Which of the following expressions are equivalent to 256^x? Select all that apply.

a. 8^2x
b. 4^4x
c. (64^x)^2
d. (16^x)^2
e. 2^8x​

Answers

Answer 1

Answer:

d

Step-by-step explanation:

i did it on eduhguenity

Answer 2

The solutions which satisfy the equation A = 256ˣ are

Option B. 4⁴ˣ

Option D. 16²ˣ

Option E. 2⁸ˣ

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is given by A = 256ˣ

a)

The value of equation B = 8^2x

B = 8²ˣ

On simplifying the equation , we get

B = 8²⁽ˣ⁾

B = 64ˣ

And the value of B ≠ A

b)

The value of equation B = 4^4x

B = 4⁴ˣ

On simplifying the equation , we get

B = 4⁴⁽ˣ⁾

B = 256ˣ

And the value of B = A

c)

The value of equation B = (64^x)^2

B = (64ˣ)²

On simplifying the equation , we get

B = 64²⁽ˣ⁾

B = 4096ˣ

And the value of B ≠ A

d)

The value of equation B = (16^x)^2

B = (16ˣ)²

On simplifying the equation , we get

B = 16²⁽ˣ⁾

B = 256ˣ

And the value of B = A

e)

The value of equation B = 2^8x​

B = (2⁸)ˣ

On simplifying the equation , we get

B = 256⁽ˣ⁾

And the value of B = A

Hence , the equations which satisfy are

Option B. 4⁴ˣ

Option D. 16²ˣ

Option E. 2⁸ˣ

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Related Questions

-8c - 6 less than or equal to 10

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-8c-6<10
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And there should be a line under the “>”. It flips because you had to decide it by a negative number.

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$26.36 (find out what 20% of 32.95 is then subtract it from the original cost) hope this helped

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Step-by-step explanation:

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What is the Voter Registration Act and how does it affect Gerrymandering?

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Answer:

United States federal law signed into law by President Bill Clinton on May 20, 1993, and which came into effect on January 1, 1995.

Step-by-step explanation:

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HOW TO CONSENTRATE ON STUDY?​

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Answer:

Listen to music or watch a video about what your about to study. Or do what I do... eat while studying

Step-by-step explanation:

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Answers

Answer:

y=4x bc each one is 4 so for one box it cost $4

Answer:

The expression will be y = 4x.

Step-by-step explanation:

First, we have to form expressions for number of boxes and total amount she earn :

Let x be the number of boxes,

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Given that the costs of each box is $4 so in order to find the total amount, you have to multiply the number of boxes by 4 :

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In a multiple regression analysis, two independent variables are considered, and the sample size is 30. The regression coefficients and the standard errors are as follows. b1 = 2.815 Sb1 = 0.75 b2 = −1.249 Sb2 = 0.41 Conduct a test of hypothesis to determine whether either independent variable has a coefficient equal to zero. Would you consider deleting either variable from the regression equation? Use the 0.05 significance level. (Negative amounts should be indicated by a minus sign. Round your answers to 3 decimal places.) H0: β1 = 0 H0: β2 = 0 H1: β1 ≠ 0 H1: β2 ≠ 0 H0 is rejected if t < −2.074 or t > 2.074

Answers

Answer:

There is a sufficient evidence that the coefficient b1 is not zero

There is a sufficient evidence that the coefficient b2 is not zero

Step-by-step explanation:

Given

[tex]n = 30[/tex]

[tex]b_1 = 2.815[/tex]

[tex]Sb_1 = 0.75[/tex]

[tex]b_2 = -1.249[/tex]

[tex]Sb_2 = 0.41[/tex]

[tex]\alpha = 0.05[/tex]

Claim: Coefficient is zero

The null and alternate hypotheses are:

[tex]H_0: \beta_1 =0\\\\H_1: \beta_1 \ne 0[/tex]

The test is two tailed because the alternate hypothesis contains [tex]\ne[/tex]

Calculate the rejection region

[tex]P(t < -t_0) = P(t > t_0) = \frac{\alpha}{2}[/tex]

[tex]P(t < -t_0) = P(t > t_0) = \frac{0.05}{2}[/tex]

[tex]P(t < -t_0) = P(t > t_0) = 0.025[/tex]

Calculate the degrees of freedom

[tex]df = n -2[/tex]

[tex]df = 30 -2[/tex]

[tex]df = 28[/tex]

On the student's T distribution table, the t value at 28 and column with [tex]\alpha = 0.05[/tex] (two tailed) is:

[tex]t\ value = 2.048[/tex]

The rejection value will contain all value lesser than -2.048 and all values greater than 2.048.

So: We reject [tex]H_0[/tex] when [tex]t < -2.048[/tex] and [tex]t >2.048[/tex]

Testing the first independent variable

Calculate test statistic

[tex]t = \frac{b_1 - 0}{Sb_1}[/tex]

[tex]t = \frac{2.815 - 0}{0.75}[/tex]

[tex]t = \frac{2.815 }{0.75}[/tex]

[tex]t = 3.753[/tex]

[tex]t = 3.753 > 2.048[/tex]

This implies that, we reject [tex]H_o[/tex] and accept [tex]H_1[/tex]

There is a sufficient evidence that the coefficient b2 is not zero

Testing the second independent variable

Calculate test statistic

[tex]t = \frac{b_2 - 0}{Sb_2}[/tex]

[tex]t = \frac{-1.249 - 0}{0.41}[/tex]

[tex]t = \frac{-1.249 }{0.41}[/tex]

[tex]t = -3.0463[/tex]

[tex]t = -3.0463 < -2.048[/tex]

This implies that, we reject [tex]H_o[/tex] and accept [tex]H_1[/tex]

There is a sufficient evidence that the coefficient b2 is not zero

Can someone please help me ?

Answers

Answer:

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Step-by-step explanation:

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Look at the image. Could someone please help me out? Only question B Thank you! WILL GIVE BRAINLYEST​

Answers

Answer:

y = 3

Step-by-step explanation:

2x+6y=5x+4y   if x=2

2(2)+6y=5(2)+4y

4+6y=10+4y

-4     =-4

6y=6+4y

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2y=6

/2=/2

y=3

Can someone help me it’s due tomorrowwwww

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Number one is straight angle

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Answers

Answer:

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Step-by-step explanation:

ez

Answer:

A

Step-by-step explanation:

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Lilya bought 3 donuts for $2.97. At this rate, how much would 10 donuts cost?

Answers

29.70 because you multiply 10 x 297 and you get 2970 just input your decimal which is 29.70

Answer:

$9.90

Step-by-step explanation:

$2.97 divided by 3 equal 0.99 cents

0.99 multiplied by 10 equal 9.90

One of the legs of a right triangle measures 11 cm and its hypotenuse measures 12 cm. Find the measure of the other leg. If necessary, round to the nearest tenth.

Answers

Answer:

4.8cm

Step-by-step explanation:

a²+b²=c² where c is the hypotenuse so

Let's plug in those values

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Answers

Answer:

D

Step-by-step explanation:

You can see that the hanger is perfectly balanced

So that means that:

5 ones = 2 x's

So:

1+1+1+1+1=x+x

simplified

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D

100 POINTS AND WILL GIVE BRAINLIEST Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
x
2
-1
10
1
2
y
Use the function rule to complete the table.
- 10x + y = 4

Answers

Plug the X in and solve it

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Answers

Answer:

Missing dimension is 6

Step-by-step explanation:

2.5 times 4 is 10, to get to 60, your missing 6, 60/10=6

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Answers

Step-by-step explanation:

f(x)=(2×2)-3x+20

0=4-3x+20

0=-3x+24

3x=24

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Answers

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Solve the equation.
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Answers

Answer:

q = 27

Step-by-step explanation:

Answer: 27

Step-by-step explanation: 16+11=27

if you know that there are 60 minutes in an hour how could you find the number of hours in 300 minutes​

Answers

Answer:

300/60=5 Hours

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Answer:

5hours

Step-by-step explanation:

................

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Answers

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

x axis is 11

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x axis lays down

Which of the following are dependent events? Select all that apply.

You draw a marble from a bag, replace it, and draw again.
You flip a coin and roll a number cube.
You draw two numbers from 1 to 10 from a hat without replacing them first.
You randomly choose two socks from a drawer, hoping they will match.

Answers

Answer: all

Step-by-step explanation:

Answer: You randomly choose two socks from a drawer, hoping they will match.

You draw two numbers from 1 to 10 from a hat without replacing them first.

Step-by-step explanation:

dependent events: compound events in which one event affects the likelihood of the other event

independent events:compound events in which one event does not affect the likelihood of the other event

Juan spent 1 1/2 hours working on a project on Monday, 2 hours on Tuesday, and 2 3/4 hours on Thursday. How many hours did it take him to finish the project?​

Answers

Answer:

Monday hours        +    Thursday hours         =      Total hours

            1 1/2                 +        2 3/4                   =       3 +    (? how do you add 1/2+3/4)

 Now, you could convert to all improper fractions:

               3/2                 +        11/4

               6/4                 +         11/4               [4 is the Least Common Multiple of 2 and 4]

                           17/4

                           4 1/4                                   [then back to mixed numbers]

 Or. you could add 1+2=3

     and    1/2  +  3/4

              2/4   +  3/4

                    5/4

                 1 1/4        [convert to mixed number]

         3 + 1 1/4  = 4 1/4        [remember to add the 3]

Step-by-step explanation:

Which of the following represents
this number in scientific notation?
-0.904
A. 9.04 • 10^-1
B. -9.04 • 10^1
C. -9.04 • 10^-1
D. -9.04 • 10^-3

Answers

Answer:

The correct option is (c).

Step-by-step explanation:

The given number is -0.904.

We need to represent the number in scientific notation.

Any number can be written in scientific notation as follows :

[tex]a\times 10^b[/tex]

Where

a is a real number and b is an integer

We can write it as follows :

[tex]-0.904=-9.04\times 10^{-1}[/tex]

Hence, the correct option is (c).

The drop down menu suggestions is true or false I need someone to help me plz

Answers

Answer:

Answer true or false and see what happens

Step-by-step explanation:

is there estimates that her dinner has 48g of fat in it what percentage of her total daily allowance of fat does her meal contain her total daily allowance of fat is 70 grams ​

Answers

Answer: The meal contains 68.57% of her daily allowance of fat

Step-by-step explanation:

We know that in the dinner, there is a total of 48g of fat.

We also know that her daily dose of fat is 70g, so this will be "the 100%", then we can write:

70g = 100%

Under this point of view, we also can relate the 48g of the dinner to another percentage X%, such that:

48g = X%

Then we have two equations:

48g = X%

70g = 100%

To solve this, we can take the quotient of these two equations to get:

(48g/70g) = (X%/100%)

Now we want to solve this for X%, then we need to isolate X%:

(48g/70g)*100% = X%

68.57% = X%

This means that 48 grams of fat are 68.57% of her daily allowance.

Find the area of the triange below

units given are cm, cm^2, cm^3​

Answers

Answer:

[tex]A=150\ cm^2[/tex]

Step-by-step explanation:

The Hypotenuse of triangle, H = 25 cm

Base = 15 cm

Height = 20 cm

We need to find the area of the triangle. The area of a right-angled triangle is given by :

[tex]A=\dfrac{1}{2}\times b\times h\\\\A=\dfrac{1}{2}\times 15\times 20\\A=150\ cm^2[/tex]

So, the area of the triangle is equal to [tex]150\ cm^2[/tex].

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Answers

Answer:

36

Step-by-step explanation:

you have to multiple and find the other area

Find the measure of 43.
43
77
<3 = [?]
Enter

Answers

Answer:

<3 = 77⁰

Step-by-step explanation:

Since 77⁰ and <3 are interior angles, angles inside the parallel line are in the same. This means that <3 will be 77⁰.

Hope this helps and stay safe, happy, and healthy, thank you :) !!

?=103°

Answer:

<3+77=180 co interior angle

<7=180-77=103°

use intercepts to graph each linear function.

6x-3y=15​

Answers

Answer:

6x-3y=15

Solve for y.

y= −5+2x

Rewrite in slope-intercept form.

y=2x−5

Use the slope-intercept form to find the slope and y-intercept.

Slope: 2

y-intercept: (0,−5)

Any line can be graphed using two points. Select two x values, and plug them into the equation to find the corresponding y values.

x y

0 −5

5/2 0

Graph the line using the slope and the y-intercept, or the points.

Slope: 2

y-intercept: (0,−5)

x y

0 −5

5/2 0

Step-by-step explanation:

Hope it is helpful....

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