What is the advantage of using exponential notation

Answers

Answer 1
Exponential is handy when it comes to writing large numbers. instead of writing out 1,000,000,000, you can simply write ten to the ninth power, or 10^9

Related Questions

Find the value of the variables.

Options
A. x = 23, y = 134
B. x = 67, y = 46
C. x = 67, y = 134
D. x = 23, y = 46

Answers

B; since we know that angle NKL is 90° and is cut by a diagonal line that angle NKM is 67° since angles MKL and NKM both form a right angle. With this information we could now say that x is 67°, because angles NKM and LMK are alternate interior angles, stated in the alternate interior angles theorem. One of the properties of a parallelogram is that diagonal bisect each other, making all the bisected diagonal congruent, so we could use this information to find y. In the picture you could see highlighted in red the diagonals I will be focusing on. Since these two diagonals are congruent, but not the base side, this makes the shape of an isosceles triangle. We know that isosceles triangle's base angles are congruent, so we have to make label the base angles both 67°. Because of the Triangle Sum Theorem, the triangle has to equal 180°, so we add the base angles to get 134°, then we have to subtract 180° and 134° to get 46°, which is your y.

Brian irons 2/9 of his shirt in 3 3/5 minutes. At this rate, how much of his shirt does he iron each minute?

Answers

You have to divide both sides by 3 3/5
Or multiply by 5/18, the inverse of 3 3/5.

It should get you 5/81 of his shirt per minute
Final answer:

Brian irons 1/16 of his shirt per minute.

Explanation:

The question is about determining the rate at which Brian irons his shirts per minute. Given the fact that Brian irons 2/9 of his shirt in 3 3/5 minutes, we first convert 3 3/5 into an improper fraction, giving us 18/5 minutes. Dividing the fraction of the shirt he irons, 2/9, by the time it takes, 18/5, we get the fraction of the shirt Brian irons per minute.

To find this, we multiply 2/9 by the reciprocal of 18/5, which is 5/18, resulting in (2/9)*(5/18) = 10/162 shirts per minute. Simplifying this fraction, we find Brian irons approximately 0.062 shirts or about 1/16 of his shirt per minute.

This is an example of using rates and fractions in a real-world context to solve problems. Understanding how to manipulate and simplify fractions is crucial for solving these real-world math problems.

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The power of 3 that are in range from 3 to 1000
(Need help on number 2)

Answers

it will be 3,9,27,81,243,729

To find the powers of 3 that lie within the range from 3 to 1000, start with 3 to the power of 1 and continue to increment the exponent until the resulting power of 3 is greater than 1000. The sequence of powers of 3 in this range is 3, 9, 27, 81, 243, and 729.

The student is asking about finding the powers of 3 that are within the range from 3 to 1000. This is a mathematics question that involves exponents and integer powers. To find the powers of 3 within this range, we'd start with 31 (which is 3), and increment the exponent by 1 until the result exceeds 1000.

So we would calculate 32 (which is 9), then 33 (which is 27), and so on, until we reach a power of 3 that is greater than 1000. This sequence is 3, 9, 27, 81, 243, 729, and stops there because the next power, 37 or 2187, is beyond 1000.

what's does y equal to x=3-3y

Answers

Solve for y by simplifying both sides of the equation, then isolating the variable.
y = 1 - x/3
Beginning with x=3-3y and solving for y, the first step would be to move the constant 3 to the opposite side of the equation by subtracting it from both sides, which leaves x-3 = -3y.

Now divide both sides by the coefficient of y, which is -3 to get (x-3)/-3 = y

This could be rewritten as -(1/3)*(x-3) = y or -x/3 + 1 = y

write a word problem that involves finding the volume of a box draw the box solve the problem and explain how you found your answer

Answers

To solve for the volume of the soap box, the formula V = length x width x height is used, yielding a volume of 36 cubic inches, which matches the expected size for such an item.

Let's create a word problem: Susan has a small business making handmade soaps which she packages in rectangular boxes. She needs to calculate how much space her soaps will take during shipping. If one soap box has a length of 6 inches, a width of 3 inches, and a height of 2 inches, what is the volume of the soap box?

To solve this problem, we will use the formula for the volume of a rectangular box, which is V = length x width x height.

Plugging in the dimensions Susan provided, the volume V is calculated as 6 * 3 * 2, which equals 36 cubic inches.

Therefore, each soap box occupies a space of 36 cubic inches.

It's always important to check units to ensure the answer is reasonable. Since we measured in inches and are looking for a volume in cubic inches, the result of 36 cubic inches is appropriate for the size of a soap box.

Maria knows there are 24 hours in one day and seven days in one week so she figured out that there are 168 hours and 1 week is her answer reasonable explain why or why not

Answers

Yes, she multiplied 24 (the hours in a day) by 7 (days in a week), and the answer is 168. 
This is correct because you have to multiply 24 by 7 which gets you 168. You have to multiply because there is 24 hours in a day, and 7 days a week.

3x+1/5y=7. Solve for y.

Answers

3x+1/5y=7
-3x           -3x
1/5y=7-3x
-1      -1
5y=6-3x
---   -----
5       5

y = 6-3x
      ------
         5

To solve for y in the equation 3x + 1/5y = 7, subtract 3x from both sides, then multiply by 5, resulting in y = 35 - 15x.

To solve the equation [tex]3x + \frac{1}{5}y = 7[/tex] for y, we need to isolate y on one side of the equation.

Subtract 3x from both sides of the equation to get the term with y by itself:

[tex]\frac{1}{5}[/tex]y = 7 - 3x

Multiply both sides of the equation by 5 to solve for y:

y = 5(7 - 3x)

Simplify the right-hand side:

y = 35 - 15x

This equation now represents y in terms of x.

what is 42.4% as a fraction in simplest form and as a decimal

Answers

53/125 is the simplest form for this question.


Hope you vote me as the brainliest for this question!

which is a true statement about 7 and 14

Answers

7 is a multiple of 14. 7 can divide 14 perfectly without any remainder

7 is a multiple of 14. This is because 14 divided by 7 equals a whole answer with no remainders.

miguel puts photos in an album. the album has 5 right hand and 5 left hand pages. each right hand page holds 4 photos. each left hand pages holds 3 photos. how many photos will fit in the






















album?




Answers

35 5x4=20 5x3=15 20+15=35

How would I solve the following: 328=(5-6x)

Answers

the value of "x" is-6


(open picture for work)

9/5 times 1/9 is what??

Answers

The answer would be 1/5
[tex] \frac{9}{5} * \frac{1}{9} =\frac{1}{5}[/tex]

John is building a rectangular puppy kennel up against his house using 31 feet of fencing. The side against the house does not need a fence and the side parallel to his house needs to be 15 feet long. Write an equation that models the situation and solve for the length of one of the shorter sides that extend out from the house.

Answers

Answer:

Each of the shorter sides extended out from the house is 8 feet long.

Explanation:

So John, needs to make a 3 sided fence. He has 31 feet of fencing to do this with and the single side parallel to the house is 15 feet.

We can write the equation for this problem as:

31=2s+15

Where 31 is the total amount of fencing John has to use, 15 is the one side where the length is given, s is the length of each of the other two sides and because there are two sides we multiply s by 2

Solving this equation gives:

31−15=2s+15−15

16=2s+0

16=2s

162=2s2

8=s

3) The City of Oz has to repaint its cylinder-shaped water tower. Only the top and sides need to be painted. If the water tower has a height of 60 feet and a radius of 20 feet, how many square feet must be painted? A) 400π ft2 Eliminate B) 2400π ft2 C) 2800π ft2 D) 4400π ft2

Answers

Answer:

The answer is C 2800 ft2.

Step-by-step explanation:

I just took a quiz and that was the answer. I honestly don't know why.

Final answer:

To find the area to be painted on the cylinder-shaped water tower, we sum the areas of the top and sides. The water tower has a height of 60 feet and a radius of 20 feet, resulting in a total area of 2800π ft^2 to paint.

Explanation:

The City of Oz needs to repaint its cylinder-shaped water tower. To calculate the total surface area to be painted, which consists of the top (a circle) and the sides (a rectangle wrapped around), we use the formulas for the area of a circle and the lateral surface area of a cylinder:

Area of the top (circle) = πr²

Lateral surface area (sides) = 2πrh

The water tower has a height of 60 feet and a radius of 20 feet.

Area to paint = Area of the top + Lateral surface area = π(20 ft)² + 2π(20 ft)(60 ft) = 400π ft² + 2400π ft² = 2800π ft².

Therefore, the correct answer is C) 2800π ft².

find all the partial products. then add to find the final product draw area model as needed. 32
×23.

Answers

736 maybe... good luck

At the veterinarians office, Terri learned that her dog weighed 4 times as much as her cat. Together they weighed 40lbs. How much dis the dog weigh?

Answers

p + 4p = 40

5p = 40

p= 8 lbs

8x4= ___ lbs

Answer:

32 lbs

Step-by-step explanation:

the following is an example of what property?
5=x+5
A. Multiplicative Property of Zero
B. Multiplicative Inverse Property
C. Additive Inverse Property
D. Additive Identity Property
E. Multiplicative Inverse Property
F. Commutative Property of Zero
G. Associative Property of Zero

Answers

If you solve it, you get x=0. That means you are adding zero, so you are dealing with the additive identity property.
This is known as an Addition Identity Property.

It's a rule that states that if you add zero to a number, you would get the same same number as the answer.

Example: 10 + 0 = 10

So the answer is D.

@gamerbrehyt2 What is the solution set of -9x ≤ 27?

x ≤ -3
x ≥ -3
x ≤ 3
x ≥ 3

Answers

Answer:

X_>-3

Hope this helps!!!!

Gerain is practicing his free throws at basketball practice he attempts 20 free throws and makes 13 baskets what percent of his attempts were baskets

Answers

The answer would be 65%
Because if you have 20 free throws correct that would be 100%, so you times it by 5. So 5 x 13 baskets would give you 65%

Haley drove 328 miles in 4 hours. At this rate, how far could she drive for 10 hours?

Unit rate ___________ miles per hour

Miles in 10 hour__________

Answers

328 ÷ 4 = 82 mph. (unit rate)

82 x 10 = 820. 

Haley can drive 820 miles in 10 hours, and drove 82 miles per hour.

hopefully this helps



a _____is a know size or amount that helps you understand another size or amount

Answers

I think the answer would be Benchmark. I'm not 100% sure though. Hope this helps! ^_^

Understanding size through known quantities in mathematics and utilizing conversion factors for unit conversions.

Size is a known size or amount that helps understand another size or amount. It is a visual variable conducive for quantitative attributes in various fields, such as mathematics and science.

In mathematics, known quantities can be used to determine unknown quantities through approximations and comparisons, such as estimating lengths or measurements based on familiar values.

Conversion factors are numbers that relate different units of measure for the same quantity, enabling easy conversions between units.

sara has 18 crayons.max has 19 crayons. how many more crayons do they need to have 50 crayons altogether

Answers

They would need 13 more

18 + 19 = 37

50 - 37 = 13

Answer = 13

Please make this answer the brainiest.

Each afternoon, at least 40 people buy coffee from a coffee shop. Write an inequality that represents this situation. Let x represent the number of people who buy coffee in an afternoon.

Answers

X>_40! It would be greater than or equal

The inequality representation of the number of people who buy coffee in an afternoon x ≥ 40.

What is inequality?

An inequality compares "two values, showing if one value less than another or greater than other or simply not equal to another value".

According to question,

Each afternoon, at least 40 people buy coffee from a coffee shop.

Let 'x' represent the number of people who buy coffee in an afternoon.

In order to show inequality representation using above information.

x ≥ 40.

Hence, the inequality representation of the number of people who buy coffee in an afternoon x ≥ 40.

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The table shows revenue R (in millions of dollars) of a company when it spends A (in millions of dollars) in advertising.

a. Write a linear function that relates the revenue to the advertising cost.
b. What is the revenue of the company when it spends $10 million on advertising?

(Table is attached below)

Answers

advertising is x and revenue is y

(0,2)(2,6)
slope = (6 - 2) / (2 - 0) = 4/2 = 2

y = mx + b
slope(m) = 2
(0,2)...x = 0 and y = 2
now we sub and find b, the y int
2 = 2(0) + b
2 = b

so ur equation is : y = 2x + 2

spends 10 mill on advertising.....so x = 10
y = 2x + 2
y = 2(10) + 2
y = 20 + 2
y = 22.....so the revenue (y) of the company is 22 (million)

A color called "passion purple" is made by mixing 5oz of red paint with 9 oz of blue paint. What percent of passion purple is blue paint? (Round to the nearest percent)

Answers

The answer to this is 64%.
Final answer:

Approximately 64% of the passion purple is blue paint, calculated by dividing the amount of blue paint by the total amount of paint and multiplying by 100%.

Explanation:

To determine what percent of passion purple is blue paint, we calculate the ratio of the amount of blue paint to the total amount of paint used to make the color. We have 9 oz of blue paint and a total of 5 oz red paint plus 9 oz blue paint, which equals 14 oz of paint in total. The percentage of blue paint is therefore (9 oz blue paint / 14 oz total paint) × 100%.

Calculating this, we get:

(9 oz / 14 oz) × 100% = 0.642857 × 100% ≈ 64.29%

After rounding to the nearest percent, approximately 64% of the passion purple paint is blue paint.

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how many times can 15 go into 21 BTW DIVIDING

Answers

Once because 15x2=30
Once because 15\21= 1.4, 15x2=30

You baked 42 chocolate cupcakes and 28 red velvet cupcakes. You package them in boxes that have the same ratio of chocolate to red velvet as the total cupcakes. How many red velvet cupcakes are in a box that has 24 chocolate cupcakes?

Answers

42:28
36:24
24:16

16 red velvet cupcakes with 24 chocolate

What is 983.491 rounded to the nearest whole number?

Answers

Hi, 983.391 rounded to the nearest whole number is 983 because 0.491 is less than 0.5
983 because for .4 cannot round 3 to a bigger number if it were .5 then it would've been 984


How do you solve a/6=15/2?

Answers

15/2 = 7.5
7.5 times 6 = 45
Check work: 45/6 = 7.5

Show two ways that six people can share an 8-segment chewy fruit worm. In each case, how many segments does each person get.

Answers

1. 8 divided by 6
2. 6 people eat six parts and 2 parts are left over

Final answer:

Six people can share an 8-segment chewy fruit worm by each person having 1 segment with 2 segments left over, or by each person having 2 segments with no segments left over.

Explanation:

There are two ways that six people can share an 8-segment chewy fruit worm:

Each person can have 1 segment, and there will be 2 segments left over.

Each person can have 2 segments, and there will be no segments left over.

In the first case, each person will get 1/6 of the worm. In the second case, each person will get 2/6 or 1/3 of the worm.

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