As the exponent on the base 10 increases, does
the standard notation number get larger or
smaller in value? Explain why.

Help Please

Answers

Answer 1

Answer:

Since the exponent on 10 is positive, I know they are looking for a LARGE number, so I'll need to move the decimal point to the right, in order to make the number LARGER. Since the exponent on 10 is "12", I'll need to move the decimal point twelve places over.

First, I'll move the decimal point twelve places over. I make little loops when I count off the places, to keep track:

3.6 _ _ _ _ _ _ _ _ _ _ _ .

Then I fill in the loops with zeroes:

3.600000000000.

In other words, the number is 3,600,000,000,000, or 3.6 trillion

Step-by-step explanation:

Answer 2
When we say exponent on base 10, this is represented mathematically as:

[tex]10^{x}[/tex]

Where:

10 = Base 10

x = Exponent

When the exponent on the base 10 increases, the standard notation number gets larger in value. This is because the exponent is directly proportional to the size of the standard notation of the number.

For example:

[tex]10^{2} = 100[/tex]

[tex]10^{3} = 1000[/tex]

[tex]10^{8} = 100000000[/tex]

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Related Questions

Solve for x : x/14-4=3

Answers

Answer:

98

Step-by-step explanation:

3+4 then times 14

can someone please answer me this question ASAP!!!!
Point A is located at negative 4 over 6 and point B is located at negative 1 over 6. What is the distance between points A and B?

negative 4 over 6 minus negative 1 over 6 = negative 3 over 6; therefore, the distance from A to B is absolute value of negative 3 over 6 equals negative 3 over 6 units
negative 4 over 6 minus negative 1 over 6 = negative 3 over 6; therefore, the distance from A to B is absolute value of negative 3 over 6 equals 3 over 6 units
negative 4 over 6 plus negative 1 over 6 = negative 5 over 6; therefore, the distance from A to B is absolute value of negative 5 over 6 equals 5 over 6 units
negative 4 over 6 plus negative 1 over 6 = negative 5 over 6; therefore, the distance from A to B is absolute value of negative 5 over 6 equals negative 5 over 6 units
Question 7(Multiple Choice Worth 1 points)

Answers

3/6 because absolute value of any number has to be positive and you have to subtract the 2 answers to find the distance

Question 3 What is the slope of the line that passes through the points (0.-7) and (-4, 3)? 0 -3/11 O -2/5 À O -5/2 0 10/4 Question 4 ​

Answers

Answer:

Gradient = Change in y / Change in x

Gradient = (-7-3) / (0-4)

Gradient = -10/-4

Gradient = 2.5

So the answer is 10/4, which is 2.5

The slope of the line passes through the points (0.-7) and (-4, 3) is -5/2. The correct option is B.

What is a slope?

Slope or the gradient is the number or the ratio which determines the direction or the steepness of the line. The slope is defined as the ratio of the rise to the run.

Given that the points are (0.-7) and (-4, 3). the slope of the line will be calculated as,

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Slope = ( 3 - (-7) / ( -4 - 0 )

Slope = 10 / -4

Slope = -5 / 2

To know more about slopes follow

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15+3x=45 I'm sorry but there will be a lot of questions I need to ask. But can someone help me with this one too?

Answers

Hey :)

x= 10

Subtract 15 from both sides
3x=45−15


Subtract 15 from 45 to get 30
3x=30

Divide both sides by 3.
x= 3/30


Divide 30 by 3 to get 10
x=10


Hope this helps :)

Answer:

x=10

Step-by-step explanation:

15+3x=45

-15        -15 *first subtract 15 from both sides

3x=30       * then divide by 3 on both sides to get x by itself

/3     /3

x=10

theres ur answer :D

3. If Q is between P and R, then PR = PQ+ QR.

Answers

No QR + QP that is the the answer

Nilopal is 2 years older than Devjan who is 7 years older than Sucha. If their combined age is 61 years, find age of each person?

Answers

Answer:

23, 30, 8

Step-by-step explanation:

List the first 15 perfect cubes:
23
33
43
53
63
83
93
103
11
12
13
14
153
13
1
1
73
1
1
1 l
Sign out
INTL

Answers

Answer:

1

1

1

11

11

235

5

6

65

6

444444444

4566

2. Find the value of p, if the mean of the following distribution is 20.
X
15
17
19
20+p
23
f 2,3, 4, 5, 6​

Answers

Answer:

p = 6

Step-by-step explanation:

I'm omitting the x since you cannot have 2 unknowns.

(15 + 17 + 19 + 20 + p +23) /5 = 20      Combine the left

(94 + p) / 5 = 20                                   Multiply both sides by 5

94 + p = 20 * 5

94 + p = 100                                         Subtract 94

P = 100 - 94

P = 6

When playing a track on the outer edge, a CD rotates 300 times per
minute. Through how many degrees does it rotate in one second?

Answers

Answer:

I think it's 1800 Degress

Step-by-step explanation:

If the CD rotates 300 times per minute, we know that equals 300 rotations/60 seconds

That ends up being 5 rotations per second.

Since we know that a full rotation is 360 degrees, then it should equal 1800 degrees.

Hope that helps, let me know if this does or not.

Subtract – 3x – 8 from 4x2 – 7x – 2.

Answers

Answer:  -2 • (4x2from4 + 5x + 1)

Step-by-step explanation: Changes made to your input should not affect the solution:

(1): "x2"   was replaced by   "x^2".  1 more similar replacement(s).

(2): Dot was discarded near "2.".

STEP

1

:

Equation at the end of step 1

 ((-3x -  (23from4 • x2)) -  7x) -  2

STEP

2

:

STEP

3

:

Pulling out like terms

3.1     Pull out like factors :

  -8x2from4 - 10x - 2  =   -2 • (4x2from4 + 5x + 1)

Trying to factor a multi variable polynomial :

3.2    Factoring    4x2from4 + 5x + 1

 

Answer:

-2

Step-by-step explanation:

Sorry if i'm wrong

Write an equation in slope-intercept form for the line that has a slope of 2/3 and passes through the point (2,9)

Answers

9514 1404 393

Answer:

  y = 2/3x -23/3

Step-by-step explanation:

In a version of point-slope form this is ...

  y = m(x -h) +k . . . . . line with slope m through point (h, k)

Expanding this, we have ...

  y = mx +(k -mh) . . . . slope-intercept form

For the given point and slope, the equation is ...

  y = 2/3x +9 -2/3(2)

  y = 2/3x -23/3

Answer:

can you provide more information

Step-by-step explanation:

3) Consider the following linear equations:
y = x - 4 and -8y = 8x - 32

What are the intercepts of the line -8y=8x-32 ?

x-value of x-intercept _____
y- value of y-intercept _____

Answers

Both the x and y intercepts are 4

10x-6y=-48
standard to slope intercept form

Answers

Answer:

[tex]y=\frac{5}{3}x+8[/tex]

Step-by-step explanation:

Remember, slope intercept form is:

y = mx + b

where m is the slope and b is the y-intercept.

To get the given equation into slope-intercept form, we would have to first solve for y in terms of x.

10x - 6y = -48

Subtract 10x from both sides.

-6y = -48 - 10x

Multiply both sides by -1.

6y = 10x + 48

Divide both sides by 6.

[tex]y=\frac{5}{3}x+8[/tex]

And now, looking at the equation that we found and the equation for slope-intercept form, we can see that we have found the equation for 10x - 6y = -48 in slope-intercept form.

I hope you find my answer to be helpful. Happy studying.

hi pls help! i'll give brainliest +30 points

Answers

Answer:

Option 3

Step-by-step explanation:

Because only the constant is changed.

Write the linear equation between the points: (-4, 5) and (0, -2)
a
b
y=7/4x+2
y=-7/4x-2
y=-4/7x-2
y=4/7x-2
C С
d

Answers

Answer:

Hey there!

Slope: 7-3/1-(-1), which is equal to 4/2, or 2.

Point slope: y-7=2(x-1)

So choice B is correct.

Step-by-step explanation:

solve this asap thanks !

Answers

W= -56. Please mark as brainliest or like I’m trying to level up and if u need a explanation let me know

The temperature in Montreal was -8° C. In New York the temperature was 11° C. How many degrees warmer was the temperature in New York?

Answers

Answer:

19

Step-by-step explanation:


find the sum . red is negatives and yellow are positives

Answers

Answer:

-3

Step-by-step explanation:

-6+3

beucase they are opposite signs (negative and positive) you subtract to find the difference; 6 minus 3 and you keep the sign of the larger number

Answer:

-3

Step-by-step explanation:

There are 3 yellows and 6 reds

then

(-6) + 3 = (-3)

Sohil has $18 in quarters and loonies. If there are 27 coins in total, how many loonies are there

Answers

Answer:

15 loonies = $15.00

12 quarters = $3.00

CHECK:

15+12=27

3+15=18

So there are 15 loonies :)

The x-intercept of the line given by 3y + 2x = -7 is:

A. 3 1/2
B. -3 1/2
C. -2 1/3
D. None of these

Answers

Answer:

put

Step-by-step explanation:

Which set of numbers could represent the lengths of the sides of a triangle?

Answers

As long as any 2 numbers from the set of 3 adds up to be greater than the third number, it could represent the sides of a triangle.

On leaving Trinidad, the time on a pilot's
watch was 23:00 h. When he arrived at his
destination in the same time zone on the
next day, his watch showed 03:00 h. Ilow
many hours did the flight take?

Answers

Answer:

4 hours

Step-by-step explanation:

(i assume that the 03:00 is a.m and not p.m)

23:00 is 11 pm, so 11 pm to 3 am would be 4 hours

Which graph represents an event function?

Answers

Answer:

We cannot see any graphs, add them so we can understand the problem

Can anyone help with this?

Answers

Answer:

8

Step-by-step explanation:

In order to find the length and width necessary to find area, we need to look at the chart. By exmaining, we can see that the length is two units from top-to-bottom. We can also see that the width is 4 units from left-to-right. We can now multiply 4 times 2 to get our answer of 8.

Answer:

B. 8.0

Step-by-step explanation:

To figure out the area you just do length times width, and you find the two by counting the amount of squares they take up. The length is two, and the width is 4; therefore the area is 8

HELPPPPPP

Question:
In pic

Answers

Answer:

68/12

Step-by-step explanation:

12x5 is 60 then add the 8

Answer:

5[tex]\frac{2}{3}[/tex] I believe

Fiften is 30 percent of what number?

Answers

Answer:

50

hope it helps

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

The way you solve this is by creating an inequality of

30          15

----     =   ----

100          x

So you cross multiply which would give you 30x = 1500, then you divide by 30 on both sides leaving you with 50. If you want to check it, you can then multiply 50 by .30 which would give you 15.


At a local pumpkin patch you can pick your own pumpkins. There is a $5 charge to enter the patch and then a $0.25 charge per pound of pumpkin. Let p
represent the weight of the pumpkin you choose and C(p)
represent the total cost of the pumpkin in terms of the weight of the pumpkin. Equation, in function notation:

Answers

Answer:

C(p) = 0.25p + 5

Step-by-step explanation:

$5 is the amount of money you have to pay when you don't get a pumpkin (a pumpkin that's 0 lbs), so the y-intercept is 5. 0.25 is the rate at which the price increases as the weight increases, so the slope is 0.25.

m = slope, b = y-intercept

C(p) = mp + b

C(p) = 0.25p + 5

name an angle complementary to

Answers

HQG because it is 55 degrees and 55 + 35 is 90, and complementary angles add up to 90 degrees.

Angle HQG

In trapezoid EFGH, EF¯¯¯¯¯ and HG¯¯¯¯¯¯ are the bases. Point J is the midpoint of EH¯¯¯¯¯¯ and point K is the midpoint of FG¯¯¯¯¯ . EF=3x+2 , HG=7x−2 , and JK=15 .

What is the value of x?

Answers

Answer:

6

Step-by-step explanation:

The required value of x is 3 for the given trapezoid.

What is a trapezoid?

A trapezoid is a quadrilateral having two parallel bases and one set of other sides called as legs.

Given that EF and HG are the bases and J and K are the midpoints of the legs, we can use the midsegment theorem which states that:

The segment connecting the midpoints of the legs of a trapezoid is parallel to the bases and is equal to half the length of the bases.

We can use this theorem to write the equation:

JK = (EF+HG)/2

Now we are given that:

EF=3x+2 , HG=7x−2 , and JK=15

So we can substitute these values in the equation:

15 = (3x+2+7x-2)/2

15 = (10x)/2

15 = 5x

x = 3

Thus, the required value of x is 3.

Learn more about the trapezoid here :

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Need help with this problemm

Answers

Answer:

60

Step-by-step explanation:

It is because all angles in an equilateral triangle add up to 180 degrees meaning that they are all equal. You can know its an equilateral triangle from the small lines an the sides meaning they are equal.

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