Which expression is equivalent to _?

Which Expression Is Equivalent To _?

Answers

Answer 1

Answer:

2^-1

Step-by-step explanation:

2^2 *2 / 2^4

We know that 2^2 * 2 = 2^2 *2^1

a^b*a*c = a^(b+c)  so 2^2*2*1 = 2^(2+1)+ 2^3

2^3 / 2^4

We know that a^b / a^c = a^(b-c)

2^3 /2^4 = 2^(3-4) =2^-1

Answer 2

The equivalent of the given expression 2² × (2/2⁴) when simplified is; 2⁻¹

How to simplify exponents?

We are given the exponents expression;

2² × (2/2⁴)

Let us first multiply out the numerator to get;

2² × 2 = 2³

Thus, our overall expression is;

2³/2⁴

According to laws of exponents;

a^(b)/a^(c) = a^(b-c)

Thus;

2³/2⁴ = 2³⁻⁴

⇒ 2⁻¹

Read more about Exponents at; https://brainly.com/question/11761858


Related Questions

PLS HELP ASAP!!!!! Match the verbal expression (term) with its algebraic expression (definition).

Match Term Definition
A variable cubed A) b ÷ 3
Quotient of some number and three B) z + 3
Product of an unknown value and three C) x3
Three less than a variable D) y − 3
Three more than some number E) 3a

Answers

Answer:

3 more than a number, z+3

three less than a variable, y-3

product of an unknown value and 3, 3a

quotient of some number and 3, b ÷ 3

and i think x3 is the cubed but it would be written as x^3

Step-by-step explanation:

The answer is : x^3
Aka c
Sorry if I’m wrong

the diagonal of a square has a length of 10. what is the area of the square?

Answers

Answer:

50

Step-by-step explanation:

Diagonal of square = 10

Use special triangles to find the area because a square's diagonal divides the 90 degree angles into 45 degrees

45-45-90 triangle

x   : x   : x√2

1   : 1      : 10

10=x√2

10/√2=x, rationalize denominator and you get 5√2 as the square's side length

Area is s^2, s being the length of a side

(5√2)^2=25*2=50

50 I hope this helps you out if not sorry

Greg and his family went on a roadtrip.
Their car averaged 60 miles per hour and they
drove for 3.75 hours. How many total miles did
they drive?

Answers

Answer:50

Step-by-step explanation:

60x3.75=225

they drove 225 miles

Help me pleaseeeeeee

Answers

Answer:

B

it's a recurring number therefore it's irrational

The answer is B I believe

Please help me i will give brainly!

Answers

for vegetable oil, it's increasing by 120, for cornstarch by 30

Oh oh really whyehywhywhy

0.8777777777777777777777777777 written as a fraction is _____. 8/9 79/90 81/90

Answers

It’s 8/9 put it in the calculator this is an easy one
79/90. Look at the comments on the first person

Make a list of three rates that describe things that you do. For example, you could describe how many classes you attend in a day. For each example, explain why it is a rate.​

Answers

I tried to make this as vague as possible since this is a question about your personal life.

1. sleep to hours in a day, 8:24

2. cans of soda to bottles of water, 1:2

3. meals to snacks, 3:2

Help ASAP!! Answer must be in radicals and in terms of pi.

Answers

Answer:

158. surface area = 108π

volume = 216√3π

159. surface area = 4√97π+16π

volume = 144π

sorry bud u gotta at least put some pep in ur step.

Where do the slope and y-intercept show up in the tables and graphs?

Answers

Answer:

Solution: The general form of the line on a graph is y = mx+c,

where y is the coordinate of the point along the y-axis,

x is the coordinate of the point along the x-axis,

m is the slope of the line or arc tan of the angle the line makes with the x-axis, and

c is the intercept the line makes on the y-axis.

Suppose we want a line having a slope of 45º with the x-axis and passes through point P (4,6), the equation of the line is

y = mx + c

6 = tan 45 * 4 + c, or

6 = 4 + c, or

c = 6–4 = 2.

Positive side of graph?

Functions, f and g are given by f(x)= 3+ cos x and g(x) = 2x, x is a real number. Determine the value of c for which f(g(x))= g(f(x)) where 0[tex]\leq[/tex]x<2[tex]\pi[/tex]

Answers

The value x is equal to [tex]\pi[/tex] for which f(g(x))=g(f(x))

Given :

f(x)=3+cos(x)

g(x)=2x

To find : the value of x over the given interval [tex]0\leq x\leq 2\pi[/tex]

Apply composition of functions. Replace g(x) inside f(x) to find f(g(x))

[tex]f(g(x))=f(2x)=3+cos(2x)\\g(f(x))=g(3+cosx)=2(3+cosx)\\[/tex]

Now we set f(g(x))=g(f(x)) and solve for x

[tex]3+cos(2x)=2(3+cosx)\\3+cos(2x)=6+2cos(x)\\\cos \left(2x\right)-2\cos \left(x\right)-3=0\\\\we \; know:\ cos(2x)=2cos^2(x)-1\\-4-2\cos \left(x\right)+2\cos ^2\left(x\right)=0\\2cos^2(x)-2cos(x)-4=0\\\\divide \; by \; 2 \; and \; Factor \; left \; hand \; side\\\\cos^2(x)-cos(x)-2=0\\\\(cosx-2)(cosx+1)=0\\\cos \left(x\right)=2,\:\cos \left(x\right)=-1[/tex]

cos(x)=2 cannot be solved , so no solution

[tex]cos(x)=-1\\cos is -1 at x=180 degree\\So , x=\pi[/tex]

Learn more :  brainly.in/question/33863433

plz help, will mark brainliest! Please match the feature to the right statement.

Answers

Answer:

y intercept : if jada doesn't sell anything, she loses $250

Pos/neg interval: jada needs to sell more than 35 kilos in order to make a profit

Increase/decrease interval: the more paprika she sells, the more profit she makes

Step-by-step explanation:

y intercept is when she sells 0 kilos and is at -250 on the y axis

pos/neg interval is whether or not she is above or below 0 on the x axis (she has to be above it in order to make a profit)

The more the line is increasing, the larger profit she makes

i can ask my friend if he can help u he knows a lot about this stuff

Find the surface area of the square pyramid shown below.

Answers

Answer: Area = 160 unit^2

Explanation:

Area of square:

8 x 8 = 64

Area of the 4 triangle:

4(8 x 6/2) = 96

Area of pyramid:

96 + 64 = 160

Answer:

179.38 sq.units

Step-by-step explanation:

answer is in the pic

I need help! ASAP

( 6th grade tape charts! )

Answers

There is nothing attached
what do you need help with

HELP ASAP ! NO GUESSING, I BEG YOU. // 5(4x + 2) ÷ 7y

From the expression above, provide an example of each of the following: sum, term, product, factor, quotient, and coefficient. If any are not present, write "not present."

Answers

Answer:

Step-by-step explanation:

1. Solve

 5(4x + 2) ÷ 7y

20x+10 ÷  7y

Sum: 20x+10 ÷ 7y

Products: 20x and 10

Factors: 5, 4x, and 2

Quotient: not present

Coefficient: not present

Terms: x and y

Place the LETTER in the smallest set that contains that value

Answers

Answer
Rational B,D,J,k
Integers G
Whole E,G
IRRATIONAL A,C,F,h,I,L


Step-by-step explaining
Whole number is just numbers but with a zero for example 0,1,2,3,4,5,6,……….

Natural number is just like the whole number but without the zero . For example 1,2,3,4,5,6,…..

Integers, The set of integer is all the whole numbers and their opposite for example -3 -2 -1,0,1,2,

Irrational : non- terminating , non-repeating decimal
Can’t be written as a ratio
For example pie , 3.7685922331

Rational can be written as a ratio like fraction
Including fractions and only terminating and repeating decimals for example 1/5 , 0.33333333333……,1.4

Karolyn is arranging her art project, science project, and math project on her desk. The tree diagram below shows the sample space.

A tree diagram is shown. The first three choices are art, science, and math. From art, one branch is math, science and the other branch is science, math. From science, one branch is art, math and the other branch is math, art. From math, one branch is art, science and the other branch is science, art.

Based on the tree diagram, what is the probability that the science project is first?

one over six
three over six
four over six
two over six

Answers

Answer:

I believe it might be 2over 6

Step-by-step explanation:

my guess but it might be wrong or right i dont know

2/6 on the first branches as there are only three options so there is only a 1 in three chance of getting science and 2/6 equals 1/3

can 2 different elements have the same atomic number

Answers

atomic number cannot be same and also atomic number can also be called an unique ID of an element.
no. this is because every element has its own specific number to differentiate itself from other elements

I'm just checking if I got this correct.

Answers

Answer:

28 units

Step-by-step explanation:

(-3, 4) *home to (4, 4) is 7 units

Same thing to Snacks to Grocery store

7 + 7 units so far

Video store to Grocery store is 7 units so is home to snacks

7 + 7 + 7 + 7 is the final answer

Answer: 28 units
the answer your looking for is 28 units.

Simplify the expression 2x(4 + x - 9 + 3x)

A. 8x - 10
B. -2x²
C. -10x²
D. 8x² - 10
E. 8x² - 10x

Answers

The answer is d 8x^2 - 10
The answer is = A. 8x-10 ✔️✅

Plz Help ASAP:
Solve each of the following equations
1-|3p+1|=-3

Answers

Answer:

p=1                                  p = -5/3

Step-by-step explanation:

1-|3p+1|=-3

Subtract 1 from each side

1-|3p+1| -1=-3-1

-|3p+1|=-4

Divide by -1

|3p+1|=4

The absolute value has two solutions one positive and one negative

3p+1 = 4            3p+1 = -4

Subtract 1 from each side

3p+1-1 = 4-1            3p+1-1 = -4-1

3p = 3                         3p = -5

Divide by 3

3p/3 = 3/3                    3p/3 = -5/3

p=1                                  p = -5/3

Answer:

p=-5/3,1

Step-by-step explanation:

Subtract 11 from both sides.

-|3p+1|=-3-1

−∣3p+1∣=−3−1

2 Simplify  -3-1−3−1  to  -4−4.

-|3p+1|=-4

−∣3p+1∣=−4

3 Multiply both sides by -1−1.

|3p+1|=4

∣3p+1∣=4

4 Break down the problem into these 2 equations.

3p+1=4

3p+1=4

-(3p+1)=4

−(3p+1)=4

5 Solve the 1st equation: 3p+1=43p+1=4.

p=1

p=1

6 Solve the 2nd equation: -(3p+1)=4−(3p+1)=4.

p=-\frac{5}{3}

p=−  

3

5

 

7 Collect all solutions.

p=-\frac{5}{3},1

p=−  

3

5

,1

Simplify -4|-5| - [2(-17)]

1. 54
2. 14
3. -14

Add an explanation on how you got the answer

Answers

54 is the answer of -4(-5)-(2(-17))

Answer:

1 . 54

Step-by-step explanation:

​A model of an Egyptian pyramid has a slant height of 18 centimeters and a 15-centimeter square base. What is the surface area of the pyramid?

PLZ ANSWER QUICKLY AND ACCURATELY WILL MARK BRAINLIEST

Answers

Answer:

here is an example to guide you

Step-by-step explanation:

To find how much paper for the model, you will use the formula for area of a square and area of a triangle.

A = bh

7.2 x 7.2

A = 51.84 cm²

A = 1/2bh

1/2 x 7.2 x 6

A = 21.6 cm²

21.6 cm² x 4 = 86.4 cm²

86.4 + 51.86=138.3

You will need 138.3 cm² of paper.

I need help with these ASAP, the assignment is due today and plz explain.

Answers

Answer:

Step-by-step explanation:

-8 <= x <= -1

Answer:

14234

Step-by-step explanation:

123124

If f(x) = 3x+1, then f(a+h) - f(a) =
1. 03 h
2. h
3. 3 h + 2

Answers

Ok I’m really sorry but I’m not sure if your options are right or my answer is…
But I tried my best ! Hope you understand !!
hey bestieeee the answer is 03 h

I need help plz step by step explanation

Answers

Answer:

x=2,y=7

Step-by-step explanation:

Using elimination method:

Add both equations

8x=16

x=2

Put x=2 into equation 2

3•2+6y=48

6y=42

y=7

X 2 y7 hope it’s richer

What is the surface area of this rectangular pyramid?

Answers

I got 288 but that could be wrong. graduated a while ago. hope it helps though.

It’s 288 hopefully this helps you

Two boxes are shown below

What is the difference in the surface areas, in square feet, of the two boxes?

Answers

Answer:

Option (B):3

Step-by-step explanation:

S.A of Box J =57ft^2 ; using formula 2(lb+lh+hb)

S.A of BoxF=54Ft^2;using formula (6a^2)

Differenceof S.A of boxes:57-54=3

C) 21 I’m not too sure but I think it’s C or B) 3

The volume of this prism is cubic inches.

Answers

Answer:

140

Step-by-step explanation:

The prism shown is a rectangular prism

Volume of a rectangular prism = length * width * height

Given length: 3 1/2

Given width: 5

Given height: 8

Volume = 3.5 * 5 * 8 = 140

Answer:

[tex]A=140[/tex]

Step-by-step explanation:

The volume of a three-dimensional object is the amount of space the object takes up. In this case, the prism is a rectangular  prism, its volume can be found using the following formula,

[tex]A=l*w*h[/tex]

Substitute the given values into this formula,

[tex]A=l*w*h[/tex]

[tex]A=8*5*3\frac{1}{2}[/tex]

Simplify,

[tex]A=8*5*3\frac{1}{2}[/tex]

[tex]A=40*3\frac{1}{2}[/tex]

Convert the mixed number into an improper fraction, this can be done by multiplying the "number" part of the mixed number by the denominator (number under the fraction bar). Then one adds the result to the numerator (number over the fraction bar).

[tex]A=40*3\frac{1}{2}[/tex]

[tex]A=40*\frac{(3*2)+1}{2}[/tex]

[tex]A=40*\frac{6+1}{2}[/tex]

[tex]A=40*\frac{7}{2}[/tex]

To simplify further, one must divide the number the fraction is being multiplied by the denominator of the fraction,

[tex]A=40*\frac{7}{2}[/tex]

[tex]A=20*7[/tex]

Multiply to finish simplifying and get the answer,

[tex]A=20*7[/tex]

[tex]A=140[/tex]

Find The Answer PLS..

Answers

Answer:

Slope = 1

Greatest value is positive infinite

Smallest value is negative infinite

Step-by-step explanation:

Function

Y=mx+c

Y=x

Slope of 1 is the answer to your question

I know how to find the distance of two coordinates but not three could someone help me on this??

Answers

Find distance between R and S and then between S and T and add them together
Answer:

12 units

Step-by-step explanation:

Step 1. Find the distance between R(-1, 4) and S(5, 4)

Answer: 6

Reason: from -1 to 5, it’s 6 units.

Step 2. Find the distance between S(5, 4) and T(5, -2)

Answer: 6

Reason: from -2 to 4, it’s 6 units

Step 3. Add the distance between R to S and S to T.

Answer: 12 units

Reason: R to S = 6 units. S to T = 6 units.

6 + 6 = 12 units
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