When a whole number is multiplied by 10 to the power of 4 how does the placement of the decimal point change

Answers

Answer 1

9514 1404 393

Answer:

   The decimal point moves 4 places to the right

Step-by-step explanation:

Take a simple case using the whole number 3.

  3.    —   whole number we're starting with

  3.×10^4 = 3.×10,000 = 30,000.   —   multiplied by 10^4

The decimal point moves 4 places to the right.

_____

Additional comment

Multiplying be a positive power of 10 moves the decimal point a number of places equal to that power. Effectively, the number of zeros added on the right is equal to the power of 10. Above, you will notice multiplying by 10^4 added 4 zeros to the right of the number.


Related Questions

Aaliyah has a loyalty card good for a discount at her local hardware store. The item she wants to buy is priced at $39, before discount and tax. After the discount, and before tax, the price is $33.54. Find the percent discount.

Answers

Answer:

16.13

Step-by-step explanation:

Rewrite using a single positive exponent: 4^9/4^2

Answers

9514 1404 393

Answer:

  4^7

Step-by-step explanation:

You know that an exponent signifies repeated multiplication. The value of the exponent is the number of times the base appears as a factor.

You also know that identical factors in the numerator and denominator of a fraction cancel.

The given fraction has 9 factors of 4 in the numerator, and 2 factors of 4 in the denominator. The two in the denominator cancel an equal number in the numerator, leaving a value that has 7 factors of 4:

  [tex]\dfrac{4^9}{4^2}=4^{9-2}=\boxed{4^7}[/tex]

What is 8/9 + 1/6 as a fraction

Answers

Answer:

[tex]\frac{19}{18}[/tex]   or   [tex]1 \frac{1}{18}[/tex]

Step-by-step explanation:

First, both fractions need to have a common denominator.

The LCM of 9 and 6 is 18.

[tex]\frac{16}{18} +\frac{3}{18}[/tex]

Add the numerators.

You get: [tex]\frac{19}{18}[/tex]

The mixed number form is [tex]1 \frac{1}{18}[/tex]

The expression  [tex]\frac{8}{9} +\frac{1}{6},[/tex] expressed as a fraction, is [tex]\frac{19}{18}.[/tex]

In order to add fractions, it is essential to determine a common denominator.

The common denominator is [tex]9 \times 6 = 54.[/tex]

Now, let's convert the fractions to have the common denominator:

When we multiply the fraction 8/9 with 6 in numerator and denominator we get 48/54.

[tex]\frac{8}{9}= \frac{8}{9} \times \frac {6}{6}[/tex]

[tex]= \frac{48}{54}[/tex]

Now multiply the fraction 1/6 with 9 in numerator and denominator to make 54 in denominator:

[tex]\frac{1}{6}= \frac{1}{6} \times \frac {9}{9}[/tex]

[tex]= \frac{9}{54}[/tex]

Now, we can add the fractions:

[tex]\frac{48}{54} + \frac{9}{54} = \frac{(48 + 9)}{54}[/tex]

[tex]=\frac{57}{54}[/tex]

Despite this, we have the option to simplify the fraction by dividing both the numerator and the denominator with their greatest common divisor, which is 3.

[tex]\frac{57}{54} = \frac{19}{18}[/tex]

Therefore, [tex]\frac{8}{9} +\frac{1}{6},[/tex] expressed as a fraction, is [tex]\frac{19}{18}.[/tex]

To learn more on Fractions click:

https://brainly.com/question/10354322

#SPJ4

Find the measure of the exterior angle.
(5x+2)
6x
90

Answers

y = 138

Step-by-step explanation:

6x + 5x +2 = 90°

11x = 90 - 2

11x = 88

x = 8

5x + 2 + y = 180

5(8) + 2 + y = 180

40 + 2 + y =180

42 + y = 180

180 - 42 = y

y = 138

hello! someone please answer this. this is due tomorrow, Monday and I don't get any of it. ty!​

Answers

You want to combine like terms :). This means the terms that are the same will be added or subtracted depending on their sign at the beginning.
1) x^2 +x+3-4x
Rearrange first to put like terms together

X^2 +x-4x +3

Your answer to a would be…
x^2 -3x+3
Lmk if you would like me to do another problem for extra practice!
Hope that helps!

Find 40% of 60 please help i am really struggling!!!

Answers

Answer:

24 is the answer

Step-by-step explanation:

The first thing you would do is to convert from percent to decimal, divide the percent without the percent symbol by 100.Thus, 40%=40100=0.4. 40% 60 is just 0.4⋅60=24

40% of 60

40/100x60

=0.4x60

=24

Suppose triangle ABC = triangle LMN, and the side lengths of triangle ABC are as shown in the table
Side Length (cm)
AB 5.2
BC 8.4
AC 7.8
What is the longest side in triangle LMN?
A.) LM
B.)LM
C.)NL
D.)NM

Answers

The longest side i triangle LMN is NL

HELP. the staircase at the lighthouse tower has between 80 and 90 steps. if matt goes 2 steps at a time then 1 step is left at the end. If he goes 3 steps at a time then 2 steps are left. If he goes 4 steps at a time then 3 steps are left. How many steps are in the staircase?

Answers

Answer:

90

Step-by-step explanation:

start from the beginning, then if you go 2 steps at a time, then you have 1 step left over at the end, let's assume the length of the stair case is x, so then we will be going up 2/3x steps, and have 1/3 x steps left.

2/3 x = somewhere between 80 and 90, so that means it must be divisible by 3, so 81,84,87,90

3/5 x ==> only 90

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3.16 Unit Test: Slope - Part 1
This graph shows the costs of purchasing two types of flowers.
Which statement is true?
Flower A
O Flower A is less expensive than Flower B.
Flower B is less expensive than Flower A.
Flower B
Cost (S)
Flower A and Flower B cost about the same,
Stems
1

Answers

Answer:

letter A

your welcome my job is to help you

Answer:

Flower B is less expensive than Flower A.

Step-by-step explanation:

Well...I tried the other answer the first person had said but i got it wrong.  I checked what the answers were and it showed as "Flower B is less expensive than Flower A." as the correct answer.

Geometry


2
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
C
B
D
5
6
2
Polygon ABCD, shown in the figure, is dilated by a scale factor of 8 with the origin as the center of dilation, resulting in the image A'BCD.
The slope of CD's

Answers

Answer:

the slope is 13

Step-by-step explanation:

if f(x)=x^2 and g(x)=x-1 then f(g(x))=?

Answers

f(g(x)) = (x-1)^2

= x^2 -2x + 1
☆Answer :

Answer in the picture.

Maria is recording the percentages she earned on each quiz in her math class. Here are her results for the last 7 quizzes.
59, 61, 83, 67, 81, 80, 81
Find the range of the data set.

Answers

22 because you take the smallest and largest number and subtract them so you do 81-59=22

Solve the inequality and graph the solution on the line provided.
−18+8x ≥ -50

Answers

Answer:

The graph i cant explain but go on mw  and look up -18+8x -50 n tap the arrow and then push graph

Step-by-step explanation:

Inequality Form:

x≥−4

write an equation of the line with a slope of -8 and a y-intercept of 2

Answers

Answer:

y=−2x+8

Step-by-step explanation:

https://socratic.org/questions/how-do-you-write-an-equation-of-a-line-with-slope-2-y-intercept-8

If the quotient of 5/8 and 1/4 is subtracted from the product of 1 1/2 and 3 1/5, what is the difference?

Answers

Answer:

.,l;'fnfcy

Step-by-step explanation:

gvnjd,g,ufk,lnm;lh;;rkiyltoltlt8tioll

Suppose that the hemoglobin levels among healthy females are normally distributed with a mean of 14 gdL. Research shows that exactly 95% of healthy females have a hemoglobin level below 15.9 gdL. What is the standard deviation of the distribution of hemoglobin levels in healthy females

Answers

Answer:

The variation in haemoglobin values in healthy human beings is relatively large; in women aged 18–49 years the mean haemoglobin concentration is 140 g/l while the value 2 standard deviations (SD) below the mean is 120 g/l, a difference of about 14%.

Sean has a box of pens. The box contains 6 blue pens, 8 black pens and 3 red pens. Some more blue pens are added to the box. The probability of selecting a blue pen is now ½. How many blue pens were added to the box?

Answers

Answer:

5

Step-by-step explanation:

Well, since the probability of blue pens is 1/2 you'll have to add the number of pens that is not blue. So that'll be 8+3 which equals 11. We currently have 6 blue pens and we need to add up the pens which will get 11. 11-6 equals 5, and that is the number of pens you will have to add.

Also, I'm not an expert at this so please check the work before you answer !

Tom plans to build up his RRIF (Registered Retirement Income Fund) by making regular deposits into his RRSP
(Registered Retirement Savings Plan) now. When he retires 22 years from now, Tom would like to receive
$2,000 at the end of every six months for seventeen years. Assume the interest rate for both the RRSP and
RRIF will be 5.05% compounded semi-annually.
1) How much would Tom have to have in the RRIF at the beginning of his retirement to receive these payments
of $2,000 each at the end of every six months?
$
2) What payment will Tom have to regularly make now at the end of every six months into his RRSP so that
there is enough money in the RRIF at the start of his retirement?

Answers

The absence is 300000

Original domain and range:
D: [-1,1] R: [0,1]
What is the domain and range of
y= f(x+2)+1

Answers

Step-by-step explanation:

if I understand correctly, then f(x) has the domain of [-1, 1] and the range of [0, 1].

the domain of a function is the interval or set of the valid values of x. and the range is the interval or set of the valid values of y.

the new function we could call g(x) is

y = f(x+2) + 1

so, remember, f(x) is only defined for x values of of [-1, 1].

the argument of f(x) must never be outside that interval, or it is undefined.

the new function now uses f(x) in the form of f(x+2). that means, if we use the same x values as for the original f(x) we would land mostly in undefined areas (only x=-1 would work), because we would use f(x) with argument values from 1 to 3.

how can we regulate this back to the valid interval of -1 to 1 ?

by saying that the domain of g(x) is actually 2 less than the domain of f(x) : [-3, -1]

the "+ 1" at the end changes the range. g(x) has then a range interval that is greater by 1 than the range interval of basic f(x).

so, it is [1, 2]

find the quotient of [tex]\frac{(x^{3} - 2x^{2} + 6x + 3)}{ (x - 3)}[/tex] using long division

Answers

I can’t really do long division on a phone so, extended techniques are required.

(x^3 - 2x^2 + 6x + 3)/(x-3)

= (x^3 - 3x^2 + (x^2 - 6x + 9)+ 12x - 6)/(x-3)

= (x^2(x-3) + (x-3)^2 + 6(2x - 1))/x-3

= x^2 + x - 3 + 6(2x - 1)/(x-3)

or

= x^2 + x - 3 remainder 12x - 6


or, in the form p(x) = q(x)d(x) + r(x):


(x^3 - 2x^2 + 6x + 3) = (x^2 + x - 3)(x - 3) + (12x - 6)

which implies that the quotient q(x) = (x^2 + x - 3) and remainder r(x) = 12x - 6

Eliminating the Drafty product line would eliminate $18,000 of direct fixed costs. The $50,000 of common fixed costs would be redistributed to Blowing Sand’s remaining product lines.

Will Blowing Sand’s net operating income increase or decrease if the Drafty model is eliminated? By how much?

Answers

Answer:

would be a 18,000 and ya it's ok to

Ryan is 6 years older than his sister, Naomi. The sum of their ages is 40. Find their ages.

Answers

Answer:

Ryan is 23 and Naomi is 17.

Step-by-step explanation:

Find the midpoint of 40. This is 40/2, or 20.

Because the difference in age is 6, but the total of the ages must add up to 40, you must also halve 6. 6/2 is 3.

Take away three and add three to 20.

20 + 3 = 23. This is Ryan's age as he is the older sibling.

20 - 3 = 17. This is Naomi's age.

Write the numbers below in order
from least to greatest.
1.4 10.4 1.45 1.54 10.54

Answers

Answer:

Step-by-step explanation: 1.4  -  1.45  -  1.54  -  10.4  -  10.54  

Least to greatest

*HIGH SCHOOL* please help me with this

Answers

Answer:

Not quite in proof format but here's a short explaination. You should be able to fill out the table yourself.

It is given that <T=<Y and <V+<U=180 degrees

<T=<Y are corresponding angles. Corresponding angles are congruent when the two lines (that the third line crosses to make a transversal) are parallel. So, l1 and l2 are parallel.

<V+<U are supplementary angles. They are same side interior angles. Same side interior angles are supplementary when two lines of the transversal are parallel (basically same thing as above, just different type of angle). So, l3 and l4 are parallel.

<R=<U because they are alternate interior angles. Alternate interior angles are congruent when the two lines are parallel (you have proved that l3 and l4 are parallel above).

<P=<C because they are alternate exterior angles. Alternate exterior angles are congruent when the two lines are parellel (you have proved that l1 and l2 are parallel above).

Choose the definition for the function.
Please help ASAP thank youuu

Answers

Answer:

D

Step-by-step explanation:

y = {x + 1 x>or equal 2

{x+2 x<2

Example #1: The ratio of the length to width in a rectangle is 2:7. If the length of the rectangle is 11cm,
what is the width of the rectangle?

Answers

Answer:

37.5cm sifjueikksksoowi

Answer:

38.5 = width

Step-by-step explanation:

AY (-3, 1) #3211 # -2 2 x -2 (2, -2) The slope is negative Find the slope m =​

Answers

9514 1404 393

Answer:

  -3/5

Step-by-step explanation:

The slope can be found using the formula ...

  m = (y2 -y1)/(x2 -x1)

Using the values from the marked points, we have ...

  m = (-2 -1)/(2 -(-3)) = -3/5 . . . . it is negative

Answer all for brainliest asap pls

Answers


1.

Since ABCD is a rectangle, then

angleABE = 90 degrees

angle ABE + angle BEA + 41 = 180

Substitute the known and solve for angle BEA

angle BEA + 41 = 90

angle BEA = 49 degrees

But,

x + angleBEA + 61 = 180 (angles in a straight line)

x = 180 - 61 - 49

x = 70 degrees

2.

triangle XYZ is equilateral, meaning all angles in it are the same, each 60 degrees.

Therefore,

Angle YZX = 60

But Angle YZX = x + 32 (exterior angles equal to the sum of the two opposite interior angles)

60 = x + 32

Therefore,

x = 28 degrees

3.

Angle QPR = Angle QRP (equal oppo sides, equal opposite angles)

Therefore, 2angleQRP + 64 = 180 (angle sum of a triangle)

Angle QRP = 58 degrees

But angle QRP = x + 35 (exterior angles equal to the sum of the two opposite interior angles)

58 = x + 35

x = 23 degrees

Answer:

See below:

Step-by-step explanation:

For the first one, we know <ABC is 90 degrees due to it being a rectangle.

Since we know that, the angles in that triangle are 41 degrees 90 degrees and y degrees (y is <AEB) in this case.

We know that the sum of angles in a triangle are 180 degrees therefore:

If we solve that, we get that y is 49 degrees.

Now to get x, we know its a supplementary angle, therefore 61 degrees + 49 degrees + x = 180 degrees.

We now know that x is 70 degrees

For the second one, since its an equilateral triangle, we know that all angles inside of it are 60 degrees.

What we can do is first find what <XZW is by subtracting 60 from 180 due to the supplementary angles theorum.

Therefore <XZW is 120 degrees.

Now, all angles inside a triangle are always 180 degrees so therefore:

[tex]x=180-(120+32)\\x=28[/tex]

For the final one, we know that <QRP is equal to 64 degrees due to the bottom two triangles of an isoceles triangle being equal.

On that, we get 23 degrees for the last one due to supplementary angles + 180 deg in triangle.

please help me!!! I'll give you 40 points.
construct the bisector of the following figures​

Answers

Answer:

divide the given line into halves

How do you Round 245.456 to the nearest hundredth ?

Answers

Answer:

245.46

Step-by-step explanation:

the hundredth point is represented by the "5" after the decimal, it goes like this

hundred, ten, one . tenth, hundredth, thousandth

2 4 5 . 4 5 6

so when you find the point you need to round to, if the number after it, is greater than five, the "hundredth" place goes up one

I hope this makes sense

1. Look at the third number after the decimal place - if it is 5 or above round up, and if it’s 4 or below round down
2. 6 is above 5 so we round up to 245.46
3. Answer = 245.46

TIP: Rounding to the nearest hundredth is the same as rounding to two decimal places

Hope this helps!
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