write the following numbers as the product of a natural number with a power of 10

a) 2450
b) 35000
c)4000400
d) 10101010

Answers

Answer 1

[tex]\\ \sf\longmapsto 2450=2\times 35\times 35\times 1^{10}[/tex]

#2

[tex]\\ \sf\longmapsto 35000=35\times 10(10)(10)\times 1^{10}[/tex]

#3

[tex]\\ \sf\longmapsto 4000400=2\times 2\times 1001\times 100\times 1^{10}[/tex]

#4

[tex]\\ \sf\longmapsto 10101010=1010101\times 10\times 1^{10}[/tex]

Answer 2

Step-by-step explanation:

The numbers are given in the form of N*10ⁿ, where N is a natural number

a) 2450 = 245*10 b) 35000 = 35*10³  c)4000400 = 40004*10²  d) 10101010 = 1010101*10

Related Questions

James made $85.00 in 2 weeks mowing yards. He spent 20% of that buying new tools. How much did he spend on tools? *
10 points
A $15
B $20
C $17
D $14
Answer asap please!

Answers

Answer: c 17

Step-by-step explanation:

Easy

Answer:

C. $17

Step-by-step explanation:

85 x (1/5) = 17

*What is the perimeter of a square with side length 13.4 inches? Write the direct variation equation.

Answers

Answer:

53.6 inches

p = 4s

Step-by-step explanation:

The perimeter of a square is four times the side

The direct variation equation is

p = 4s

p = 4 * 13.4

p = 53.6 inches

Henry was granted a loan of £96.00. The interest rate was 24% per annum. Calculate the interest at the end of the year​

Answers

Answer:

110.00

Step-by-step explanation:

According to sales records at a local coffee shop, 75% of all customers like hot coffee, 30% like iced coffee, and 22% like both hot and iced coffee. The Venn diagram displays the coffee preferences of the customers.​

Answers

Using Venn probabilities, it is found that there is a 0.08 = 8% probability that the customer only likes iced coffee.

In this problem, the events are:

Event H: Liking hot coffee.Event I: Liking iced coffee.

The probability of only liking iced coffee is:

[tex]P(I \cap H^c) = P(I) - P(I \cap H)[/tex]

30% like iced coffee, hence [tex]P(I) = 0.3[/tex].22% like both hot and iced coffee, hence [tex]P(I \cap H) = 0.22[/tex]

Then:

[tex]P(I \cap H^c) = P(I) - P(I \cap H) = 0.3 - 0.22 = 0.08[/tex]

0.08 = 8% probability that the customer only likes iced coffee.

A similar problem is given at https://brainly.com/question/24707032

What is John and Linda paid each hour

Answers

This question is out of context
Where is the equation or question?

examine the following sequence 1,4,9,16,25…why is 36 the next number in the sequence ? because the pattern is

Answers

Answer:

The pattern is adding by consecutive odds.

Step-by-step explanation:

The first odd you start with is 3:

1 + 3 = 4

4 + 5 = 9

9 + 7 = 16

16 + 9 = 25

25 + 11 = 36

...

Note that each time you add, it is by consecutive odds, meaning that after 36, you are adding 13, then 15, etc.

~

If F=(-3)
Find: F(x)=4x^2-5

Answers:
-41
31
29
None of the Above ​

Answers

Answer:

31

Step-by-step explanation:

as we put the value of X in the function it gives 3

help ASAP DUE in 10 minutes do not spam or you will get reported A farmer wants to increase the area of his rectangular pen but keep the pen a rectangular shape. He decides to add 5.7 yards of fencing to the width of the pen, but the length will remain 9.5 yards. The new area will be 77.9 square yards.​

Answers

Answer:

The one you have selected is correct. 9.5(w+5.7)=77.9

Step-by-step explanation:

Area is length x width, but the length is the same. So, the 9.5 is not in the parentheses. The existing width (w) is having 5.7 yards added on before being multiplied for area calculations. Because of the order of operations, (w+5.7) must be in parentheses so it is done before multiplication.

Answer:

9.5(w+5.7)=77.9

Step-by-step explanation:

took the test

Which of the following scatterplots do not show a clear relationship and would not have a trend line?

Answers

The second one because the points are all over, whereas the first one seems to have a positive trend - as x increases y increases.

Hope this helps!

Answer:

B

Step-by-step explanation:

Let be an angle in quadrant I such that sin +10 Find the exact values of sec 0 and tan 0.​

Answers

Answer:

just look at picture's That's the answer

C D
Given: r is inversely proportional to s. If r = 16 when s = 3, then write the formula for the relation between r and s.
a. r=s/48
C. r=s/16
b. r= 48/s
d. r= 16/s
Please select the best answer from the choices provided
A
B
ОООО
Submit
Next
Save and Exit
Mark this and retum

Answers

Answer:

You choose but it looks like what you have labeled B

Step-by-step explanation:

R = K / S         INVERSE PROPORTION

16 = K / 3        VALUES GIVEN: MULTIPLY BY 3 ON BOTH SIDES

16*3 = k

K =  48

Answer: R = 48/S

Circles C and C′ are similar. State the translation rule and the scale factor of dilation.

Question 12 options:


A) To obtain C′, circle C is translated to the right four units and down three units and is dilated with a scale factor of one.


B) To obtain C′, circle C is translated to the left three units and up two units and is dilated with a scale factor of 1∕2.


C) To obtain C′, circle C is translated to the right three units and down two units and is dilated with a scale factor of one.


D) To obtain C′, circle C is translated to the right three units and down two units and is dilated with a scale factor of two.

Answers

I think it’s B, I’m not sure tho, but I think it’s B from my old lessons

Mary was asleep from 9:pm to 5:am. How long was she asleep for?​

Answers

Answer:

8 hours

Step-by-step explanation:

Answer:

8hours

Step-by-step explanation:

Ms. April likes for the twenty students in her
class to have a carton of milk each day at break
time. She sends three of her students down to
the cafeteria to ask for the cartons of milk, but
she likes to mix things up a bit and wants to
send a different group of students down every
day. Will she have enough different groups of
three students in her class of twenty students to
send a different group every day of the school year? (There are 180 days in the school year)

Answers

9514 1404 393

Answer:

  yes

Step-by-step explanation:

There are 20 ways to choose the first student, 19 ways to choose the second student, and 18 ways to choose the third student. Chosen this way, the same three students can be chosen 3×2×1 = 6 different ways. So, the number of different choices of 3 students will be ...

  (20×19×18)/(3×2×1) = 1,140

There are easily enough different combinations of 3 students to have a different combination each day.

_____

Additional comment

The number found above is the number of combinations of 20 students taken 3 at a time: 20C3 or C(20, 3). The value can be computed from ...

  nCk = n!/(k!(n-k)!)

Progressions A person borrowed a sum of Rs. 3400 from his provident fund account on the condition to repay in 22 monthly installment of Rs. 150 and last installment of Rs. 100. Calculate the S.I. at the rate of 4.5% pa, which he , has to pay as the 24th installment?​

Answers

I am supposed to solve 1
question but I am solving four questions, Please try to
understand me and its my humble request to create
separate post for each question.

In a class of 60 students, 38 are Democrats, 12 are business majors, and 8 of the business majors are Democrats. If one student is randomly selected from the class, find the probability of
choosing a Democrat or a business major.
P(Democrat or business major) =
(Simplify your answer. Type an integer or a simplified fraction.)

Answers

Answer:

7/10 or

0.7 or

70 percent

Step-by-step explanation:

[tex]p (democrat \: or \: business \: major \: ) = \frac{30 + 4 + 8}{60} [/tex]

[tex] = \frac{42}{60} [/tex]

[tex] = 7/10[/tex]

Therefore, the probability is 7/10, 0.7 or 70 °/•

Please help me :0
What is the order of this matrix?

Answers

The order of the matrix is 5x3
Answer: Choice C) 5 x 3

============================================================

Explanation:

The order of a matrix is a way of describing its size. Specifically, the order is represented in the form [tex]m \times n[/tex], where,

m = number of rowsn = number of columns

The rows are laid out horizontally, and the columns are vertical.

In this case, we have 5 rows and 3 columns. Therefore, the answer is 5 x 3. The order is important because a 5 x 3 matrix is different from a 3 x 5 matrix.

What is the area of the figure at the right explain how you found your answer

Answers

Answer:

You have a photo to show the work?

Step-by-step explanation:

Multiply (3x+2)(x-6)

What is the middle term of the simplified answer?

Answers

Answer:

16x

Step-by-step explanation:

(3x + 2) (x - 6)

Multiply 3x by x and -6

3x^2 - 18x

Multiply 2 by x and -6

2x - 12

Combine like terms

3x^2 - 16x - 12

The middle term is 16x

Solve for u.

7u–u+2u+11u=10
u=

Answers

Answer U = 10/19
Bc explain

Ivan was the 31st person in line. His position in line was just behind 5/9 of the total number of people in line. How many people were in line? HELP PLEASE WILL MARK BRAINLIEST

Answers

31=1-(5/9)x

30=-(5/9)x

x=54

The answer is 54 people.

hope this helps :)

Find the area (A) of the figure below: 166) 6cm A) 18 square cm B) 35 square cm 12cm C) 72 square cm D) 144 square cm 167) 12 in A) 37.68 square inches B) 72.52 square inches C) 108.12 square inches D) 113.09 square inches​

Answers

Answer:

166) C. 72 square cm        167) D. 113.09 square inches

Step-by-step explanation:

166) Parallelogram area formula is A=Base x height

A= 6 x 12

A= 72

167) Circle area formula A=πr²

r= half of diameter (12)

A=π(6)²

A=112.09

The total age of a cat, dog, and a monkey is 4 years 2 months. The dog is twice as old as the cat. The monkey is twice as old as the dog. How old is the monkey? (Correct answer will get BRAINLIEST)

Answers

Answer:

50/7

Step-by-step explanation:

Solve

Let's solve your equation step-by-step.

4x+2x+x=50

Step 1: Simplify both sides of the equation.

4x+2x+x=50

(4x+2x+x)=50(Combine Like Terms)

7x=50

7x=50

Answer:

50/7

Step-by-step explanation:

Solve

Let's solve your equation step-by-step.

4x+2x+x=50

Step 1: Simplify both sides of the equation.

4x+2x+x=50

(4x+2x+x)=50(Combine Like Terms)

7x=50

7x=50

Surface integrals of vector fields Find the flux of the following vector fields across the given surface with the specified orientation . You may use either an explicit or parametric description of the surface across the slanted face of the tetrahedron x in the first octant ; normal vectors point upward . F= langle0,0,-1 rangle; z = 4-x - y

Answers

Step-by-step explanation:

Surface integrals of vector fields Find the flux of the following vector fields across the given surface with the specified orientation. You may use either an explicit or a parametric description of the surface. F =( 0,0,-1) across the slanted face of the tetrahedron Z=4-x-y in the first octant; normal vectors point upward

a company blends 1000 bushels of two types of apples to make a beverage that contains 12% real-juice content. One of the two types of apple contains 10% real-juice content and the other contains 15% real juice content. how many bushels of each type of apple are needed?

Answers

Answer:

400 bushels of the 15%

600 bushels of the 10%

Step-by-step explanation:

x bushels of the 15%  plus the balance of 1000 bushels at 10% yield 1000 bushels at 12%

15x + 10(1000 - x) = 12(1000)

distribute

15x + 10000 - 10x = 12000

Combine like terms

5x = 2000

Divide both sides by 5

x = 400 bushels of the 15%

1000 - x = 600 bushels of the 10%

The number of bushels of the 15% is 400, and the number of bushels of the 10% is 600.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have:

A company blends 1000 bushels of two types of apples to make a beverage that contains 12% real-juice content.

Let x be the bushels.

One of the two types of an apple contains 10% real-juice content and the other contains 15% real juice content.

The linear equation can be framed:

15x + 10(1000 - x) = 12(1000)

By using the distributive property:

15x + 10000 - 10x = 12000

5x = 2000  (combine like terms)

x = 400 bushels of the 15%

= 1000 - x

= 1000 - 400

= 600 bushels of the 10%

Thus, the number of bushels of the 15% is 400, and the number of bushels of the 10% is 600.

Learn more about the linear equation here:

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Solve the problem using a system of equations: Donnette found a widescreen TV at a garage sale, but she isn't sure if it will fit in her entertainment center. The TV is 50". The size of a TV is measured on the diagonal of the screen, and a widescreen has a length that is larger than the width. The screen also has an area of 1,200 square inches. What are the length and width of the TV screen?
length=___inches, width=___ inches

Answers

Check the picture below.

[tex]\begin{cases} L^2+w^2=50^2\\ Lw = 1200\\[-0.5em] \hrulefill\\ L^2+w^2=2500\\ L=\sqrt{2500-w^2} \end{cases}\qquad \stackrel{\textit{substituting on the 2nd equation}}{\sqrt{2500-w^2}~w=1200} \\\\\\ \stackrel{\textit{squaring both sides}}{w^2(2500-w^2) = 1200^2}\implies 2500w^2-w^4=1440000 \\\\\\ 0=w^4-2500w^2+1440000\implies 0=\stackrel{\textit{tis a quadratic}}{(w^2)^2-2500w^2+1440000}[/tex]

[tex]0=(w^2-900)(w^2-1600)\implies \begin{cases} 0=w^2-900\\ 900=w^2\\ \sqrt{900}=w\\ \boxed{30=w}\\[-0.5em] \hrulefill\\ 0=w^2-1600\\ 1600=w^2\\ \sqrt{1600}=w\\ \boxed{40=w} \end{cases} \\\\\\ \stackrel{\textit{we know that}}{L = \sqrt{2500 - w^2}}\implies \begin{cases} L=\sqrt{2500-30^2}\\ \boxed{L=40}\\[-0.5em] \hrulefill\\ L=\sqrt{2500-40^2}\\ \boxed{L = 30} \end{cases}[/tex]

The length of the given TV is 40 inches and width of the given TV is 30 inches.

What is the area of a rectangle?

The area occupied by a rectangle within its boundary is called the area of the rectangle. The formula to find the area of a rectangle is Area = Length × Breadth.

The area of rectangular shape TV is 1,200 square inches.

The TV is 50".

Now, L²+W²=50² ----------(I)

L×W=1200 ----------(II)

L²+W²=2500

⇒ L²=2500-W²

⇒ L=√(2500-W²)

Substitute L=1200/W in L=√(2500-W²), we get

1200/W=√(2500-W²)

Squaring on both the sides we get

1440000/W² =2500-W²

⇒ 1440000=2500W²-[tex]W^4[/tex]

⇒ [tex]W^4[/tex]-2500W²+1440000=0

⇒ (W²)²-2500W²+1440000=0

⇒ (W²)²-900W²-1600W²+1440000=0

⇒ W²(W²-900)-1600(W²-1600)=0

⇒ (W²-1600)(W²-900)=0

⇒ W²-1600=0 and W²-900=0

⇒ W²=1600 and W²=900

⇒ W=±40 and W=±30

So, W=40, -40, 30, -30

Length =1200/W =40 or 30

Therefore, the length of the TV is 40 inches and width is 30 inches.

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https://brainly.com/question/20693059.

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Solve for x:
Spam: WHSIYWsugwediywedw

Answers

Answer:

um whats m or y?

Step-by-step explanation:

Answer:

[tex]x=3m+y[/tex]

Step-by-step explanation:

Let's solve for [tex]x[/tex].

[tex]m=\frac{x-y}{3}[/tex]

Step 1: Flip the equation.

[tex]\frac{1}{3}x+\frac{-1}{3}y=m[/tex]

Step 2: Add [tex]\frac{1}{3}y[/tex] to both sides.

[tex]\frac{1}{3}x+\frac{-1}{3}y+\frac{1}{3}y=m+\frac{1}{3}y[/tex]

[tex]\frac{1}{3}x=m+\frac{1}{3}y[/tex]

Step 3: Divide both sides by [tex]\frac{1}{3}[/tex].

[tex]\frac{\frac{1}{3}x }{\frac{1}{3} } ={\frac{m+\frac{1}{3}y }{\frac{1}{3} }[/tex]

[tex]x=3m+y[/tex]

Answer:

[tex]x=3m+y[/tex]

Four movie tickets cost $48. At this rate, what is the cost of...
a. 5 movie tickets? Show your work.
b. 11 movie tickets? Show your work.

Answers

We first want to know how much one movie ticket costs. We do 48/4 giving us 12. So one ticket costs $12!!

5 movie tickets will cost $60 because 5 times 12 is 60.

11 movie tickets will cost us $121 because 11 times 12 is 121!

Hope this helps!! :)

Use technology to find the P-value for the hypothesis test described below
The claim is that for 12 AM body temperatures, the mean is > 98.6°F. The sample size is n = 3 and the test statistic is t=2.446
P-value = (Round to three decimal places as needed)

Answers

Answer: C

Step-by-step explanation:

Hope it help

Solve the inequality. 53(2x + 2) – 10 ≥ 2x + 2(23x + 2) please help

Answers

Hope this helps!!!!!!!!!!!!

A relationship between two expressions or values that are not equal to each other is called 'inequality. inequality 53(2x + 2) – 10 ≥ 2x + 2(23x + 2)  is x≥-92/58.

What is Inequality?

A relationship between two expressions or values that are not equal to each other is called 'inequality.

The given inequality is

53(2x + 2) – 10 ≥ 2x + 2(23x + 2)

Apply the distributive property

106x+106-10≥ 2x + 46x+4

Add the like terms

106x+96≥ 48x+4

Take all common variables on one side

106x-48x≥4-96

106x-48x is 58 and 4 minus 96 is minus 92.

58x≥-92

x≥-92/58

Hence inequality 53(2x + 2) – 10 ≥ 2x + 2(23x + 2)  is x≥-92/58.

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