Mathematics Middle School

Rewrite the given expression in the form 2^u where u is a constant or an algebraic expression.

1/2^5 = ? (Put the answer in exponential notation.)

Answers

Answer 1

To rewrite 1/2^5 in exponential notation, remember that 1/2^5 is the same as 2^-5. Therefore, 1/2^5 = 2^-5.

Rewrite the given expression in the form 2u where u is a constant or an algebraic expression.

To rewrite 1/25 in exponential notation, we need to understand that 1/25 is the same as (2-1)5. Using the property of exponents, we can rewrite this as 2-5, where -5 is the new exponent.

Therefore, 1/25 = 2-5, where u = -5.

Related Questions

A rectangular prism has a length of 112 meters, a width of 3 meters, and a height of 512 meters.

Enter the volume of the prism as a mixed number in simplest form in the box.

Answers

Answer:

[tex]Volume=24\frac{3}{4}m^3[/tex]

Step-by-step explanation:

The volume of a rectangular prism is calculated using the formula;

[tex]Volume=l \times w\times h[/tex]

where [tex]l=1\frac{1}{2}m[/tex] is the length, [tex]w=3m[/tex], is the width and [tex]h=5\frac{1}{2} m[/tex] is the height of the rectangular prism.

We substitute all these values into the formula to obtain

[tex]Volume=1\frac{1}{2} \times 3\times 5\frac{1}{2}[/tex]

Convert to improper fractions to get;

[tex]Volume=\frac{3}{2}\times 3\times \frac{11}{2}[/tex]

[tex]Volume=\frac{99}{4}[/tex]

[tex]Volume=24\frac{3}{4}m^3[/tex]

What is 6x – 8 = 4 written as a system?

A. y = 6x – 8
y = –4

B. y = 6x – 8
y = 4

C. y = –6x + 8
y = 4

Answers

Answer:
y = 6x - 8
y = 4
which is the second option

Explanation:
The general form of a linear system is:
y = mx + c
The given equation is:
4 = 6x - 8

Comparing the given equation with the general form, we will find that:
The system is:
y = 6x - 8
y = 4

Hope this helps :)

6x – 8 = 4 written as a system y = 6x – 8, y = 4. So, option B) is correct.

An equation is a mathematical statement that shows that two mathematical expressions are equal.

Given,

6x-8=4

For A) Given system

y = 6x – 8.....................1

y = –4.....................2

Substituting y=-4 in eq 1

-4=6x – 8

6x – 8=-4, which is not the same as the given equation.

For B) Given system

y = 6x – 8.....................3

y = 4.....................4

Substituting y=4 in eq 3

4=6x – 8

6x – 8=4, which is the same as the given equation.

For C) Given system

y = -6x +8.....................5

y = 4.....................6

Substituting y=4 in eq 5

4=-6x + 8

-6x +8=4, which is the same as the given equation.

Thus,  6x – 8 = 4 written as a system  y = 6x – 8, y = 4. So, option B) is correct.

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Anyone please help solving this maths problems not sure if I did it right. Thanks.

Answers

2/3 is equivalent to 4/6
1/2 is equivalent to 4/8
6/8 is equivalent to 3/4
1/4 is equivalent to 2/8
1/3 is equivalent to 2/6
Your first answer is wrong. 2/3 is not equivalent to 2/6, 2/3 is equivalent to 4/6 because if you multiply 2*2 and 3*2 you would get 4 and 6. so in order to get the equivalent fraction you must multiply or divide the top and the bottom of the fraction with the same number.

Kit bought a soft drink and a sandwich for $9.00. What was the price of each if the sandwich cost 3.5 times much as the soft drink?

Answers

Let the cost of the soft drink = C   then the price of the sandwich was 3.5 times as much = 3.5C

 

And

 

C + 3.5C  = Total Cost

 

C + 3.5C  =   9

 

4.5C = 9    divide both sides by 4.5

 

C = 9/4.5  =  $2.00   for the soft drink

 

And  3.5C = 3.5(2.00)  = $7.00   cost of the sandwich

If Kit bought a soft drink and a sandwich for $9.00 and the sandwich cost 3.5 times much as the soft drink the price of the sandwich and soft drinks will be $7.00 and $2.00 respectively.

What are arithmetic operations?

The study of numbers and their operations, which are relevant to all other fields of mathematics, is part of the discipline of arithmetic operations. Addition, subtraction, multiplication, and division are the basic operations that make up this system.

It is given that, Kit spent $9.00 on a soft drink and a sandwich, with the food being 3.5 times as expensive as the soft drink.

Suppose the cost of the soft drink is x as a result the price of the sandwich will be 3.5x.

Total cost = $9

x+3.5x=9

4.5x=9

x=9/4.5  

x=  $2.00

The price of the sandwich obtained as,

=3.5x

=3.5× $2.00

=$7

Thus, if Kit bought a soft drink and a sandwich for $9.00 and the sandwich cost 3.5 times much as the soft drink the price of the sandwich and soft drinks will be $7.00 and $2.00 respectively.

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Help help help plz give me the right answer

Answers

L = large
M = Medium
S = Small

L = 3*s
M = 2*s

L + S = 2940
Substitute 3s for L
3s + s = 2940
4s = 2940
s = 2940/4
s = 735

M = 2*S
M = 2* 735 
M = 1470

L = 3*S
L = 3*735
L = 2205

You should check this
L + M + S =? 2940
2205   + 735 = 2940 which checks that much of it.

Marta bought new fish for her home aquarium. She bought 3 guppies and 2 platies for a total of $13.95. Hank also bought guppies and platies for his aquarium. He bought 3 guppies and 4 platies for a total of $18.33. Find the price of a guppy and the price of a platy.

Answers

The price of a guppy and the price of a platy are $3.19 and $2.19 respectively.

What is equation?

A formula known as an equation uses the equals sign to denote the equality of two expressions. Equation: A declaration that two expressions with variables or integers are equal.

Given:

Marta  bought 3 guppies and 2 platies for a total of $13.95,

Hank bought 3 guppies and 4 platies for a total of $18.33,

Write the equation of the above statements as shown below,

3g + 2p = 13.95

3g + 4p = 18.33

Here, g is the price of guppies and p is the price of platies,

Solve the above equation by elimination as shown below,

3g + 2p - (3g + 4p) = 13.95 - 18.33   (Subtract equation from each other)

3g + 2p - 3g - 4p = -4.38

- 2p = -4.38

p = 4.38 / 2

p = $2.19 and,

3g = 18.33 - 4 × 2.19

3g = 9.57

g = 9.57 / 3

g = $3.19

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How many different triangles can be constructed with three angles, each measuring 30°?

Answers

Okay to have a complete triangle with 3 angles  it must add up to 180° So therefore if you have  30° For each angle  which adds up too 90°. We're are still missing 90 more degrees. So that means we can't  make a triangle at all.

Jasmine has 50 shares of a stock. The value of each share went down by $2 today. Express the total change in value of Jasmines shares as an integer calculation.

Answers

The change is Jasmine's stock is represented by -$100.

If each stock dropped by a value of $2 and she had 50 stocks, she had a 50 x $2 change. Because The stock dropped this is a negative change.
Answer:
The rate of change would, be -$100 where the negative sign expresses a decrease in the value of total share.

Explanation:
We are given that:
Jasmine has 50 shares
Value of each share decreased by $2

This means that:
Jasmine's total shares decreased by 50*2 = $100

The rate of change would, thus, be -$100 where the negative sign expresses a decrease.

Hope this helps :)

Melanie eats 1.5 pounds of cereal each week. Which model below best represents the number of pounds of cereal she eats in .5 weeks?

Answers

For this case, the first thing we must do is define a variable.
 We have then:
 x: number of weeks
 y: amount of cereal that Melanie eats
 We now write the function that models the problem:
 [tex]y = 1.5x [/tex]
 Then, for 5 weeks we have:
 [tex]y = 1.5 (5) y = 7.5 pounds[/tex]
 Answer:
 A model that best represents the number of pounds of cereal she eats is:
 [tex]y = 1.5x [/tex]
 For 5 weeks we have:
 [tex]y = 7.5 pounds[/tex]

mathew is 2 yards tall how many inches tall is he.

Answers

he 72 inches tall because a yard is 36 inches and 36 times 2 is 72 
please mark as brainliest
Hey there!


The answer is : 72 inches 
Reason: a yard is 3 ft and a foot is 12 in so ,
1 yard is 36 in and 2 yards is 72 in


Hopes this Helps u :D

last summer Marion was three and a half feet tall she was 4 inches taller than her brother Elijah she was one in a quarter feet shorter than her sister Lori how tall were Elijah and Lori Last Summer

Answers

Let M be Marion, L be Lori and E be Elijah.
M = 3.5 ft.
E = M - 4/12 (since he was 4 inches shorter than Marion) = 3 1/2 - 4/12; find a common denominator (12):  3 6/12 - 4/12 = 3 2/12 = 3 1/6 ft.
L = M + 1.25 (since she was 1 1/4 feet taller than Marion) = 3.5 + 1.25 = 4.75 feet.

Richard caught f fish two weeks ago and 32 fish last week.
How many fish has Richard caught these last two weeks combined?
Write your answer as an expression.

Answers

Answer:

The answer is f+32

Step-by-step explanation:


The expression which represents the total fish caught by Richard is

f + 32.

What is expression?

A set of variables, constants, and mathematical operations forms an algebraic expression.

According to the given question.

The number of fishes caught by Richard two weeks ago = f

And the fish caught by Richard last week = 32

Therefore,

The expression for the total fish caught by Richard these last two weeks

= f + 32

Hence, the expression which represents the total fish caught by Richard is f + 32.

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Anthony ‘s family went out to dinner. They left at the. Time 5:05 pm any they returned home at 6:52p.m
How long was Anthony ‘s family gone

Answers

They were gone for a total of 107 minutes, or one hour and 47 minutes. Hope it helps! :) If you could vote my answer as the brainliest, that would be awesome! :)
1hr 47mins......................

To build a desktop you put 2 boards together . One board is 1/3 inch thick, and the other is 1/2 inch thick . How thick will the desktop be?

Answers

The answer is 5/6 inches thick

What is the y intercept of y = 6x + 32?

Question 4 options:

6


6x


32


0

Answers

To find out the y-intercept of a function, we fill in x = 0

This gives us the following:
y = 6 * 0 + 32 = 0 + 32 = 32

So, the y-intercept is 32.
Final answer:

The y-intercept of y = 6x + 32 is 32.

Explanation:

The y-intercept of a linear equation is the point where the graph of the equation intersects the y-axis. In the equation y = 6x + 32, the y-intercept is the value of y when x is equal to 0. To find it, substitute 0 for x in the equation: y = 6(0) + 32. Simplify the equation to find that the y-intercept is 32.

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Kaylie had $1250 in her saving account. She withdrew $82 each month in order to pay for a summer vacation. How much did Kaylie have in he account at the end of eight months?

Answers

$594 would be your answer :)

8n+3n-n+3n+5n I need help with this

Answers

Hey there!

This problem is simply about combining like terms. Like terms in this scenario is anything with a similar or different coefficient and the same variable. Here, we see that everything is a like term, because they all have n as their variable.

When we have this situation, we can simply add or subtract the number like normal, and keep that n there. We have:

8n + 3n - n + 3n + 5n =
11n - n + 3n +  5n

Let's think about how to subtract that n. When we have 11n, we have n + n + n... 11 times. That's why multiplication is repeated additon. If we subtract one n, we take one n out to get 10n. We have:

10n + 3n + 5n = 13n + 5n =
18n

Hope this helps!


what is the solution to this equation x-16=-8

Answers

X-16=-8
Add 16 on both sides 
x=-8+16
And solve; your answer will be
x=8

The solution to the equation x - 16 = -8 is x = 8.

We have,

To solve the equation x - 16 = -8, we want to isolate the variable x on one side of the equation.

First, let's add 16 to both sides of the equation:

x - 16 + 16 = -8 + 16

This simplifies to:

x = 8

Therefore,

The solution to the equation x - 16 = -8 is x = 8.

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Three girls collected geodes in the desert. Corinne collected 11 1/8 pounds, Ellen collected 4 5/8 pounds, and Leonda collected 3 3/4 pounds. How much did Corinne collected than the other two girls?

Answers

Corinne collected 2 3/4 pounds more than Ellen and Leonda's collection combined. Here is the work that I did to get the answer (Red represents my work while highlighter represents the answer):

Answer:

2 3/4

Step-by-step explanation:

A bear cub weighed 64 oz in March. After three months, it weighed 31 lbs. How many lbs did the cub weigh in March?

Answers

it weight 33 oz in march



4 lbs
64 oz is 4 lbs

Find the area to the right of a z score of 2.75 under a standard normal distribution curve

Answers

It is about 0.298% as calculated by my TI-83/84 work-alike.

He height of a triangle is 9 m less than is base the area is 56 m^2 what is the length of the base?

Answers

Formula for area of triangle:
A= 1/2 bh
Where b is the base and h is the height of the triangle.
Here, h= b-9
A=56 m^2
Put values in formula.
56= 1/2 (b) (b-9)
56=b(b-9)/2
Multiply both sides by 2.
112=b^2-9b
or
b^2-9b-112=0
Factorise the equation.
b^2-16b+7b-112=0
b(b-16)+7(b-16)=0
(b+7)(b-16)=0
Using zero factor theorem.
b+7=0 or b=-7
and
b-16=0 or b=16
Ignore the value b=-7, because length cannot be negative.
So length of base=16 m

Answer: Base=16m


The half-life of a radioactive substance is the average amount of time it takes for half of its atoms to disintegrate. Suppose you started with 200 grams of a substance with a half-life of 3 minutes. How many minutes have passed if 25 grams now remain? Explain your reasoning.

Answers

3 half-lives because 200/2=100 100/2=50 and 50/2=25 

Answer:

It would take 9 minutes for 25 grams of the substance to remain.

Step-by-step explanation:

Radioactive substance degenerate to release particles and lot of energy. The time required for a radioactive substance to degenerate into half of its original size is termed half life. The substance continues the stages of degeneration with respect to the half life.

The given substance would have 3 stages of degeneration to achieve a mass of 25 grams with respect to the half life.

1st stage, it would degenerate to half of its original size;

          = [tex]\frac{200}{2}[/tex]

          = 100 grams

This occurs in 3 minutes.

2nd stage, it would degenerate to half of its previous size;

        = [tex]\frac{100}{2}[/tex]

       = 50 grams

This also occurs in 3 minutes.

3rd stage, it would degenerate to half of it previous size;

         = [tex]\frac{50}{2}[/tex]

        = 25 grams

This also occurs in 3 minutes.

We stop here due to the restriction in the question for 25 grams.

So, the total time taken for the substance to reach a mass of 25 grams

       = 3 + 3 + 3

       = 9 minutes

It would take 9 minutes for 25 grams of the substance to remain.

Write an inequality to represent this situation: Nina wants to take at least $15 to the movies. How did you decide which inequality symbol to use?

Answers

15 is greater than or equal too m this is the symbol < and it has a line under it

A ladder is placed 7 feet from the base of a building and reaches a point on the building that is 24 feet above the ground.Find the length of the ladder?

Answers

◆ Pythagoras Theoram ◆

Hey !!

Check the attachment.
Hope it helps you :)

The length of the hypotenuse or the ladder is 25 feet.

What is a triangle?

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

We know in right-angled triangle, the sum of the squares of the smaller two sides of a right-angle triangle is equal to the square of the largest side.

Given, A ladder is placed 7 feet from the base of a building and reaches a point on the building that is 24 feet above the ground.

So, The base is 7 feet and the height is 24 feet.

Therefore,

Hypotenuse² = Base² + Height².

Hypotenuse = [tex]\sqrt{49 + 576}[/tex].

Hypotenuse = [tex]\sqrt{625}[/tex].

Hypotenuse = 25 feet.

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what is between 3/8 in a number line

Answers

Okay I hope this is what you mean. so if you are saying what is between the numbers 3 and 8 we can make an inequality which will cover all the small decimals between the numbers.

There are 2 different equalities that I'm not sure which one you want.

so the first one would be
[tex]3 \leqslant x \leqslant 8[/tex]
x is just the variable I chose for this. Now this inequality means that both 3 and 8 are solutions to the problem. x represent all the little numbers in between so to test your answers just plugin the number you're testing in for x. Since 3 is the lowest number it will have a less than or equal to (in this case) sign and 8 is the greatest so that's why the open/greater side is facing the 8. It reads 3 is less than or equal to x and x is less than or equal to 8.

If you meant all number in between 3 and 8 not include either of those numbers than the inequality would be
[tex]3 < x < 8[/tex]
In this case all the numbers between 3 and 8 are solutions but 3 and 8 will not be solutions. the line under the symbol means it includes the number which come before or after it. The inequality reads 3 is less than x which is less than 8. You can also plugin in an answer to test it in place of x.


If you have any questions or it turns out you meant somthing else please tell me and I'll be happy to help, sorry if this isn't what you meant in the question.

Thomas wrote the equation y equals 3x + 3/4 when Sandra her equation they discovered that her equation had all the same Solutions at Thomas's equation which equation could be Sandra's

Answers

Were options given to you?

How many units are between (9,6) and (-16,6)?

Answers

[tex]d= \sqrt{(9-(-16))^2+(6-6)^2}= \sqrt{25^2}=25 [/tex]

25 units

A right rectangular prism has a length of 6 inches, a width of 9 inches, and a height of 10 inches. What is the surface area of the prism? Enter your answer in the box. in²

Answers

the
Answer=408in2
hoped i helped




Answer:

A=408in²

Step-by-step explanation:

A=2(wl+hl+hw)=2·(9·6+10·6+10·9)=408in²

What is the value of x in this number sentence?


32 = 17 + x


Answers

32 = 17 + x
32 - 17 = x
15 = x
32  = 17 + x
To find our answer, the value of x, we only have to substract 17 from both sides. This gives us the following
15 = x
x = 15
So the value of x in this number sentence is 15
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