To find the product of 42.12 and 10³, move the decimal point in 42.12 __ places to the right because 10³ has __ zeros.

To Find The Product Of 42.12 And 10, Move The Decimal Point In 42.12 __ Places To The Right Because 10

Answers

Answer 1
To find the product of 42.12 and 10^3,  move the decimal point in 42.12 3 places to the right because 10^3 has 3 zeros

Solution:

Given that,

[tex]\text{ product of } 42.12 \text{ and } 10^3[/tex]

Which means,

[tex]42.12 \times 10^3[/tex]

Here, the exponent of 10 is positive ( which is 3)

When the exponent is positive, we have to move the decimal point to right

When you multiply a number by a power of 10, ( 10!, 10^2, and so on ) move the decimal point of the number to the right the same number of places as the number of zeros in the power of 10

Here, exponent is 3 , therefore move the decimal point right 3 places in 42.12

Therefore,

[tex]42.12 \times 10^3 = 42120[/tex]


Related Questions

Is 2/6 equivalent to 20%

Answers

Answer:

2/6 is NOT equivalent to 20%

Step-by-step explanation:

2/6 is NOT equivalent to 20%

Reason :

To convert 2/6 to percentage

Multiply 2/6 by 100

That is ,

= 2/6 × 100   %

= 1/3 × 100   %

= 100/3 %

= 33.33%

33.33% is not same as 20%. Therefore 2/6 is not equivalent to 20%

I hope this was helpful, please mark as brainliest

How do you know that the value of D will decrease when the value of N increases?

Answers

Explanation:

Hello! Remember you have to write complete questions in order to find good and exact answers. Here I'll assume that you need a relationship between D and N. So we know some facts:

As N increases, then D decreases

So this is an inverse relationship. We can write this as:

[tex]D\propto \frac{1}{N} \\ \\ \\ \boxed{D=k\frac{1}{N}} \\ \\ \\ \text{Where k is a positive constant}[/tex]

Since N lies in the denominator, as it increases then D will decrease. So this is a correct relationship

Select the most SPECIFIC name for this shape
O Rectangle
O
Square
O
Quadrilateral
O kite

Answers

Answer: Kite

Step-by-step explanation:

I’ve never seen anyone use the term kite, even though I would say that would be the most specific. To be safe go with quadrilateral

A grocery chain conducts a random survey of sales in stores to determine the types of juice to restock. The results are shown on the table. Which juice is MOST LIKELY to sell BEST when restocked? AN) Organic Apple Juice B) Organic Grape Juice C) Organic Pineapple Juice D) Grape Juice (from concentrate)

Answers

Answer:pineapple juice

Step-by-step explanation:

What is the sum of the first five positive integers?​

Answers

Answer:

15

Step-by-step explanation:

1+2+3+4+5 = 15

1/(Sec x Tanx ) = Sec x + tan x

Answers

Answer:

Step-by-step explanation:

to prove that 1/ (sec x - tan x) = sec x + tan x

from the right hand side sec x + tan x =

from trigonometry basics  

sec x = 1/ cos x

tan x = sin x/ cos x

so, sec x + tan x =  1/ cosx + sinx/ cosx

finding the lcm

= (1+ sinx)/cos x

= (1 + sinx) cosx/ cos²x

= (1 + sinx) cosx/( 1- sinx) ( 1 + sinx)

( 1 + sinx) cancels the (1- sinx)  at the denominator

so we have;

= cos x/ 1 -sinx

1/1/cosx - sinx/cosx

remember that 1/ cos x = sec x

and also sinx/cos x = tan x

so therefore we have 1/ sec x - tanx

since LHS = RHS  then we can say that 1 / sec x - tan x = sec x + tan x.

How to do this problem -40=12x+8

Answers

First subtract 8 from 8 and -40 because it is even.

Then divide -48 by 12, which equals -4.

Hope this helped! If it didn't, tell me what went wrong or confused you.

Answer:

The answer is x=-4

Step-by-step explanation:

-40=12x+8

-8          -8

-48=12x

-48/12=x

-4=x

In two to three sentences, explain how you would factor the following expression:
45y^2z+36yz^2+18yz

Answers

Answer:

9yz(5y+4z+2)

Step-by-step explanation:

I would first factor the whole polynomial by 9 since that's the LCM of the coefficients, giving us 9(5y^2z+4yz^2+2yz)

Then I would factor out yz as that's the LCM of the terms, giving us:

9yz(5y+4z+2)

And that's our answer.

The sum of two numbers is -17. Their difference is 41. Find the numbers.

Answers

Answer:

the two numbers are 12 and -29

Step-by-step explanation:

let the two numbers be x and y

let the sum of the two numbers b

x+y = -17 ..................................................... equation 1

let the difference between the two numbers be

x-y = 41 ........................................................................ equation 2

from equation 1

x+y = -17 ..................................................... equation 1

x = -17 - y ............................................................... equation 3

substitute for x in equation 2

x-y = 41 ........................................................................ equation 2

-17-y -y = 41

-17 -2y = 41

-2y = 41 + 17

-2y = 58

divide both sides by -2

-2y/-2 = 58/-2

y = -29

put the value of y = -29 in equation 3

x = -17 - y ............................................................... equation 3

x = -17-(-29)

x =-17 + 29

x = 12

therefore the two numbers are 12 and -29

3x + y = -3
How do I solve this equation by graphing?

Answers

Answer:

Step-by-step explanation:

That means y= -3x -3 in the y=mx+b form. It means that you will draw a dot at the point (0,-3). Then, M= #of points that you will go up or down (positive=up, negative= down). So, M= -3, negative, so go 3 points down to (0,-6) and go one point to the right. It will give you a point at (0,-3) and at (1,-6). Now, just draw the line and it s=is all done :)

PLZ HELP ASAP Your favorite snack l, peanut butter pretzels, is available in a 15-oumch size for $4.05. The 32-ounce size sells for $8.32. Which size is the better buy

Answers

Answer:

The better one is 32- ounce hope this helps and please make me the brainliest

Step-by-step explanation:

What is 18 divided by 82.8

Answers

Answer:

0.2173913043

Step-by-step explanation:

the answer is 0.21739

9. If the temperature changes by 100 K, by how much does it change in °C?
2730C
37°C
100°C
by
0°C

Answers

Answer:

100 degrees C.

Step-by-step explanation:

100 degrees C

The 'size' of the unit is the same.

0 degrees K to 100 degrees K is equivalent to:

-273 degrees C to - 173 degrees C.

The perimeter of a rectangle is 18x – 24 and the width is
2x – 9. What is the length?
A: -7x + 3
B: 16x + 15
C: 7x - 3
D: 7x + 3

Answers

Answer:

C

Step-by-step explanation:

18x - 24 = 2 [length + 2x - 9]

9x - 12 = length + 2x - 9

Length = 7x - 3

Answer:

C: 7x - 3

Step-by-step explanation:

The perimeter of a rectangle is  given by

P = 2(l+w) where l is the length and w is the width

We know the perimeter is 18x -24 and the width is 2x-9.  Substituting these values into the equation

18x-24 = 2( l+2x-9)

Divide each side by 2

(18x-24)/2 = 2/2( l+2x-9)

9x-12 = l+2x-9

Add 9 to each side

9x-12 +9 = l+2x-9+9

9x -3 = l+2x

Subtract 2x from each side

9x-2x-3 = l+2x-2x

7x -3 = l

The length is 7x-3

A circle with radius 9 has a sector with a central angle of 120°
What is the area of the sector?
Either enter an exact answer in terms of it or use 3.14 for it and enter your answer as a decimal

Answers

Step-by-step explanation:

[tex]radius = 9[/tex]

[tex]central \: angle = 120 \times \frac{3.14or\pi }{180} radian[/tex]

[tex]central \: angle = 2.09334 \: approximately = 2.1[/tex]

[tex]area \: of \: sector = \frac{1}{2} \times {r}^{2} \times central \: angle[/tex]

[tex]putting \: the \: values[/tex]

[tex]area \: of \: sector = \frac{1}{2} \times {9}^{2} \times 2.1[/tex][tex] = \frac{1}{2} \times 9 {}^{2} \times 2.1[/tex]

[tex]area \: of \: sector \: = 85.05 {m}^{2} [/tex]

Answer:

27π square units

Step-by-step explanation:

Note that a central angle of 120° is exactly 1/3 of a full circle.

So to find the area of this sector, find the area of the whole circle and divide your result by 3:

A = (1/3)π(9)^2 = 27π square units

Solve for x (round to the nearest tenth)

Answers

Step-by-step explanation:

By Geometric mean property:

[tex]x = \sqrt{5 \times 3} \\ = \sqrt{15} \\ = 3.87298335 \\ \huge\orange {\fbox{\therefore \: x \approx \: 3.9}} [/tex]

3. Convert 5.2 gallons to
cups

Answers

set up a ratio problem

5.2 gal = 1 gal/16 cups

5.2 * 16 = 83.2 cups is 5.2 gallons

whats is the value of x?

Enter your answer in the box

x = __

Answers

39,

put it in the translater to Spanish:

Los ángulos internos de un triángulo son iguales a 180•

Answer: X= 39

please mark brainliest

Step-by-step explanation:

102+39= 141

180-141 =39

it has to equal to 180 degrees

what is the perimeter of a rectangle with a height of 4 km and a length of 10 km

Answers

Perimeter is the sum of the 4 sides.

4+ 4 + 10 + 10 = 28 km

Answer:2 horizontal sides will equal 10 and The 2 Vertical side will equal 4. So add all them together to get 28.

Step-by-step explanation:Perimeter means the outside of Area so u can add all the numbers instead of mutiplying.

Dalton loses weight at a rate of 4% per week. the following function represents his weight loss after x weeks. W(x)=2(1.04)^x. Write the expression that reveals his approximate rate of weight loss per day.

Answers

Answer (1.04x=2. X=30103/.017033= 17.673

Answer:

Step-by-step explanation:

(1.006)^7x

j(m) = 2m-1
What is j(4) ?
Enter your answer in the box.

Answers

Final answer:

To calculate j(4), we plug in 4 into the function j(m) = 2m - 1, which gives us j(4) = 7.

Explanation:

To determine the value of j(4) in the given function j(m) = 2m - 1, a straightforward substitution is applied. By replacing the variable m with the provided value of 4, the expression j(4) is computed as 2 × 4 - 1, yielding 8 - 1, which simplifies to 7. Therefore, the value of j(4) is unequivocally established as 7. This process exemplifies the fundamental concept of function evaluation, showcasing how input values substitute variables within a function, ultimately producing a specific numerical result for a given function and input combination.

(−9+6.8−1.2)·(−0.49−0.51)

Answers

Answer:

3.4

Step-by-step explanation:

(−9 + 6.8 − 1.2) · (−0.49 − 0.51)

(−3.4) · (−1)

3.4

Answer:

3.4

Step-by-step explanation:

(−9 + 6.8 − 1.2) · (−0.49 − 0.51)

(−3.4) · (−1)

3.4

What is the edge length of 216 cubic inches?

Answers

The edge length of a cube with a volume of 216 cubic inches is 6 inches.

To find the edge length of a cube with a volume of 216 cubic inches, we can use the formula: Volume = [tex]edge length^3[/tex]. This formula tells us that the volume of a cube is equal to the edge length raised to the power of 3.

Given that the volume is 216 cubic inches, we can rearrange the formula to solve for the edge length. Let's call the edge length "x":

[tex]x^3 = 216[/tex]

To find the value of x, we need to find the cube root of 216. The cube root of a number is the number that, when multiplied by itself three times, equals the original number.

In this case, the cube root of 216 is 6, because 6 x 6 x 6 = 216.

Therefore, the edge length of a cube with a volume of 216 cubic inches is 6 inches.

To Learn more about original number here:

https://brainly.com/question/31139351

#SPJ2

What is 7,211 divided by 58?

Answers

Answer:

Approximately 124.327586

Step-by-step explanation:

Hope this helped.

Answer:

124.3275862068966

Step-by-step explanation:

I put it in my calculator

The square root of 1000 is between __________ .
A
498 and 502

B
98 and 102

C
48 and 52

D
28 and 32

Answers

The square root of 1000 is between 28 and 32. so option D is correct.

How to find the closest integer less than and greater than the square root of a number?

The function is strictly increasing function for x ≥ 0.

Assuming that all the values of x are ≥ 1, whenever there is increment in the value of 'x', the value of y increases too.

That means, we've got:

[tex]x_1 < x_2 < x_3 \implies \sqrt{x_1} < \sqrt{x_2} < \sqrt{x_3} \: \text{(such that } x_1 \leq 1[/tex]

Perfect square are those integers whose square root is an integer.

Let x-a be the closest perfect square less than x and let x+b be the closest perfect square more than x, then we get: x-a < x < x+b (no perfect square in between x-a and x+b, except possibly x itself).

Then, we get:

[tex]\sqrt{x-a} < \sqrt{x} < \sqrt{x+b}[/tex]

We need to find the square root of 1000

So, the square root of 1000 is 31.6227766017

[tex]\sqrt{1000} = 31.622[/tex]

Thus, The square root of 1000 is between 28 and 32. so option D is correct.

Learn more about square root here:

brainly.com/question/7200235

#SPJ5

The square root of 1000 lies between 28 and 32, so the correct answer matches option D.

To determine the square root of 1000, we need to find two consecutive integers between which this value lies. We know that:

The square root of 900 (which is 30²) is 30.

The square root of 1024 (which is 32²) is 32.

Therefore, the square root of 1000 lies between 30 and 32.

This matches option D which states between 28 and 32.

sophia pays a $19.99 membership fee for an online music store. If Sophia purchases n songs for $0.99 each, write an expression for the total cost.



A

0.99n−19.99

B

0.99n+19.99

C

0.99n×19.99

D

0.99n19.99


Part B

If she buys two songs from a new album, what is the total cost?

help me asap

Answers

Answer:

Step-by-step explanation: B

answer needed asap please

Answers

Answer:  [tex]Total\ number\ of\ people=70[/tex]

Step-by-step explanation:

For this exercise let "m" represents the total number of men at the meeting.

You know that the total number of people at the meeting represents de 100% of the people there.

According to the information given in the exercise, the number of men in the meeting representes the 40% of the people. So:

[tex]100\%-40\%=60\%[/tex]

As you can notice, 60% of the perople are women.

Then,  knowing that the number of women is 42, you can set up the following proportion:

[tex]\frac{42}{60}=\frac{m}{40}[/tex]

Solve for "m" in orde to find its value:

[tex](40)(\frac{42}{60})=m\\\\m=28[/tex]

Therefore, the total number of people at the meeting  is:

[tex]Total\ number\ of\ people=42+28=70[/tex]

What is the sum of the series?

Answers

The sum of the series is -4.

Step-by-step explanation:

Step 1:

The symbol Σ is called sigma and it is used to sum all the values in it.

The lower limit is 3 while the upper limit is 6.

So for the equation 2k - 10, we substitute the values of k as 3, 4, 5, and 6 and then add all these values up.

Step 2:

Now we the values of k are substituted and values are determined.

When [tex]k = 3, 2k -10 = 2(3)-10 =6 -10 =-4,[/tex]

When [tex]k = 4, 2k -10 = 2(8)-10 =8 -10 =-2,[/tex]

When [tex]k = 5, 2k -10 = 2(5)-10 =10 -10 =0,[/tex]

When [tex]k = 6, 2k -10 = 2(6)-10 =12 -10 =2.[/tex]

Step 3:

Σ[tex](2k-10)[/tex] between k = 3 and k = 6 is equal to

[tex]-4 -2 +0 + 2 = -6 + 2 = -4.[/tex]

So the sum of the given series is -4.


15. MODELING REAL LIFE You use a computer
program to transform an emoji. How can
you transform the emoji as shown?

(Picture above)​

Answers

Rotate it right (clockwise) 90 degrees

Answer:

either rotate it right 90 degrees or one quarter rotation or rotate it left 270 degrees or three quarters rotation.

Step-by-step explanation: either one works. could you please give me crow, i rly need it i just need two more. it wold help so much.

Divide Whole Numbers by Unit Fractions Quiz How many 1/5 s are in 9? A. 5/9 B. 9/5 C. 45 D. 4 1/2

Answers

The answer is 9/5

You do 9x1/5 so 9x1 is 9. That’s your numerator and 5x1 is 5 and that’s your denominator
Other Questions
Trapezoid ABCD and trapezoid JKLM are similar. What side corresponds to side BC? Side LM Side KL Side JK Side KJ Tammy wants to attend a concert of her favorite duo, Queen Tunius and the Jake-man. Unfortunately, she does not have a ticket. She has decided to sneak in to the concert but is worried she might get caught because a security guard is sitting in the concert hall watching for trespassers. According to Weber's Law __________.a. Tammy should sneak in to the concert hall before any of the rest of the audience arrives.b. Tammy should sneak in to the concert hall after about 10 of the 500 audience members arrive.c. Tammy should wait until most of the audience is in the concert hall before she sneaks in.d. Weber's Law is not helpful in making a decision in this example New oak tables are normal goods. What would happen to the equilibrium price and quantity in the market for oak tables if the price of maple tables rises, the price of oak wood rises, more buyers enter the market for oak tables, and the price of the glue used in the production of the new oak tables increased? A quality-control manager randomly selects 60 bottles of bleach that were filled on January 15 to assess the calibration of the filling machine. What is the population in the study? With respect to computer networks, organizations often install a dedicated telephone system called a ________ to route external phone calls or connect internal telephone extensions. need help asap! due tomorrow and its late! In many ancient cultures, people worshipped weather gods and tried to keep them happy. Why? Suppose you are repeating a classic study of starfish and their impact on the ecosystems of tide pools. Using historic data collected by you colleagues, you know that the mean number of starfish in the tide pool you are studying is 6.4. You are worried that a recent decline in starfish numbers in nearby pools may indicate a coming problem for your tide pool. If you estimate that the ecosystem of your tide pool will face significant negative consequences if the number of starfish in it drops below 3, calculate the probability of this occurring. Which of the following synonyms best supports the definition for stereotype? Oil with a specific gravity of 0.72 is used as the indicating fluid in a manometer. If the differential pressure across the ends of the manometer is 6kPa, what will be the difference in oil levels in the manometer? How was paper towels in the United States, accidentally invented? The salivary amylase gene (AMY1) is present in two diploid copies in chimpanzees. Humans are known to have between 6-15 copies, an adaptation that is thought to be related to the high-starch diet of humans. This difference among humans is an example of:_______. Factor the algebraic expression.24 a+27 (b) For those values of k, verify that every member of the family of functions y = A sin(kt) + B cos(kt) is also a solution. y = A sin(kt) + B cos(kt) y' = Ak cos(kt) Bk sin(kt) y'' = Ak2 sin(kt) Bk2 cos(kt). Kyle works for National Sporting Goods, where he manages critical data elements, such as identifying and acquiring new data sources, creating consistent reference data, and analyzing data for quality. Kyle is a _______.a. data stewardb. database administratorc. data managerd. data administrator A typical wall outlet voltage in the United States is 120 volts. Personal MP3 players require much smaller voltages, typically 487.0 mV 487.0 mV . If the number of turns in the primary coil is 2464 2464 , calculate the number of turns on the secondary coil of the adapter transformer. 9.Rama is using a hand glider to fly directly from the top of one cliff onto another cliff below. The glider is guided by a cable. The cliffs are 740 feet apart and the first cliff is 280 feet taller than the second cliff. How long is the cable between the cliffs? Which of these countries has the highest percentage of arable land? Add Arable Land. Which of these countries has the highest percentage of arable land? Tunisia Morocco Libya Saudi Arabia Egypt In addition to average weather conditions, climatological data also describes annual variations and fluctuations of temperature, precipitation, ____, and other variables. Which elements of a work of historical fiction would require the most research to develop?