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

Two buses are traveling to a state park. One bus leaves the terminal at 4:00 pm, and travels at 40 miles per hour. The second bus
leaves the terminal at 5:00 p.m. and travels at 60 miles per hour.
At what time does the second bus catch up with the first bus?

Answers

Answer:

Step-by-step explanation:

When the second bus catches up to the first bus, this means that the distance they have travelled is equal.

So for bus 1, you know it travels at 40 miles per hour.

4pm = 0 miles

5pm = 40 miles

6 pm = 80 miles

7pm = 120 miles

For bus 2, you know it travels at 60 miles per hour

5pm = 0 miles

6pm = 60 miles

7pm = 120 miles.

So you can see that at 7pm, they will both have travelled 120 miles.

The entry ticket to a local football game costs $12 for an adult and $8 for a child. A group of 100 people paid an entry fee of $1,056. How many adults and how many children were there in this group? Drag the correct value to the appropriate box.

Answers

Step-by-step explanation:

let x be the number of adults and y number of childrens

so we have. x+y=100 people

and. 12*x+8*y=1056 dollars

x=100-y

replace 100-y to the second equation

12*(100-y)+8y=1056

1200-12y+8y=1056

1200-4y=1055

1200-1056=4y

144=4y

y=144/4=36

so x=100-y=100-36=64

so in this group were 64 adults and 36 childrens

In this group were 64 adults and 36 children.

What is system of equation ?

In mathematics, a system of linear equations (or linear system) is a collection of one or more linear equations involving the same variables.

let x be the number of adults and y number of children

so we have. x + y = 100 people

and. 12 × x + 8 × y = 1056 dollars

x=100 - y

replace 100 - y to the second equation

12 × (100 - y) + 8y = 1056

1200 - 12y + 8y = 1056

1200 - 4y = 1055

1200 - 1056 = 4y

144 = 4y

y = 144/4 = 36

so x = 100 - y = 100 - 36 = 64

Hence, in this group were 64 adults and 36 children.

To learn more about system of equations from here

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I have no idea what to do here please help

Answers

Answer:

m = 5

m = -3

m = 1/6

m = 2/7

m = -8/3

Which of the given values is the greatest

A) 0.325
B)0.42
C)1/8
D)2/5

Answers

Answer:

I think the answer is d) 2/5

Answer:

B

B is the answer

A grand piano can weighton. How many
ounces can a grand piano weigh?

Answers

Answer:

12800

Step-by-step explanation:

Which of the following is the equation for the line perpendicular to the line y=−x+20 that passes through the point (−4, 2)?

A)Y = -x + 6
B)Y = x - 2
C)Y = x + 6
D)Y = -x - 2

Answers

I have a feeling it’s a but I’m not that sure good luck might want to wait on other peoples opinions

please I need answer asap!!

Where is the point (5,-1) located in the coordinate plane? O A. In quadrant IV B. In quadrant II C. On the y-axis OD. In quadrant Ill​

Answers

I’m pretty sure that it is located in quadrant II

Answer:

A. In quadrant IV

Step-by-step explanation:

I checked it and it’s right on A P E X hope this helps:)

Stacy wants to go on a vacation that will cost her at least $1540. She has $1825 saved but has
$65 deducted every week from her paycheck to pay for her insurance. At most, how many
weeks can she have these deductions made in order to afford her vacation

Answers

Answer:

4 weeks

Step-by-step explanation:

First,, we should subtract the vacation price from her savings to get the base. That is 1835-1540=295. Then we can do 295/65,, and then we get 4  7/13. So,, she can only afford 4 weeks of these deductions in order to have enough money for her vacation.

Find two consecutive odd numbers such that seven times the smaller number is 17 more than six times the larger

Answers

Answer:

29 and 31

Step-by-step explanation:

Let

x = the first odd number

x + 2 = the second odd number

seven times the smaller number is 17 more than six times the larger

7*x = 17 + 6(x + 2)

7x = 17 + 6x + 12

Collect like terms

7x - 6x = 29

x = 29

x + 2 = 29 + 2

= 31

Check:

7*x = 17 + 6(x + 2)

7*29 = 17 + 6(29 + 2)

203 = 17 + 6(31)

203 = 17 + 186

203 = 203

Therefore, the two consecutive odd numbers are 29 and 31

7x_____=1 Help pls lol

Answers

Answer:

1

Step-by-step explanation:

Answer:

I dont think there an answer to that question can you tell us the options

PLEASE HELP WILL GIVE BRAINLIEST AND 20+ points PLEASE HELP

Answers

Answer:

I HAVE THE SAME THING

Step-by-step explanation:

Need to know ASAP thank u!!!

Answers

The answer is 50mph..?.!.?.?

what is the root of 4​

Answers

Answer:

Step-by-step explanation:

It is 2

Because 2x2=4

Answer:

2

Step-by-step explanation:

Because when you put it in the calculator it is right

Anyone know how to do??

Answers

Step-by-step explanation:

here it is

hope u get it

don't forget to change the signs when u trasfer the terms

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

Since those two angles are corresponding that means they are equal to each other so we write an equation like this...

[tex]7x+9=8x+2[/tex]

Now we solve for x...

[tex]7x+9=8x+2\\9=x+2\\x=7[/tex]

And that's it x will equal 7.

write the lengths in order from greatest to least

12.7 ( 12 7/10) 12 3/5 12 3/4

Answers

12 3/5, 12 7/10, 12 3/4

How much carpet would you need in square feet to cover a floor with dimensions of 12 feet by 15 feet?

Answers

Answer:8

Step-by-step explanation:

Area = Length x Width.

simple room measurement

Measure the length using the distance from one wall to the opposite wall.

Measure the width from wall to wall.

Add 2 to 4 inches to each side. This accounts for waste, doors and slanting walls. It’s easy to cut a little off for a perfect fit, but it’s impossible to add without creating unsightly seams.

Multiply the length times the width or enter those into the calculator above. This is your total square footage for that room.

Repeat this process for each room.

NOT SURE HOW MU

Answer:

oi hi how are you

Step-by-step explanation:

What is the equation of the line that is parallel to the line 5x + 2y = 12 and passes through the point (-2, 4)?
o y = -xx-1
y=-{x+5
O y = 2 x 1
y=x+5

Answers

The answer is Y=-5/2x-1

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

(-6x^2-x)-(-4x^2+10x-1)
will give brainlest and 20 points and please hurry

Answers

Answer -10x 2- 11x +1 (2 as a exponent) im not completely sure if its right but i tried

Step-by-step explanation:

which expression has the same value as 9 - (-7)?​

Answers

Answer:

[tex]9 + 7 = 9 - (-7)[/tex]

Step-by-step explanation:

[tex]9 - (-7) \: is \: same \: as \: (9) + (7)[/tex]

Write the expression to represent the words. ​

Answers

Answer:

1. 7x

2. x+15

3. 18/x

Step-by-step explanation:

Assume the number is x because we don’t know what it is.

1. Product means multiplication so x * 7 equals 7x.

2. More means addition so x+15.

3. This one is easy. 18 divided by x = 18/x

Which expression is equivalent to
-3/2 - 1/5

Answers

Answer:

- 17/10

Step-by-step explanation:

Can someone help me Find F(2)

Answers

Answer: F(2)=23

Step-by-step explanation:

Answer:

23

Step-by-step explanation:

f(x)= 4(2)^2 +7

f(x)= 4(4) +7

f(x)= 16+7

f(x) = 23


12x + 8y = 24 Convert from standard form to slope-intercept form.

Answers

y= —12/8x + 3 is the slope into form because 12x + 8y = 24 minus 12x on both sides . 8y= —12x + 24 divide 8y by 8y and —12x + 24 over 8 you will get y = —12/8x + 3

The required equation is y = -(3/2)x + 3 in slope-intercept form.

What is the standard form of linear equations?

A linear equation is written in the standard form as Ax + By = C, where A, B, and C are integers and x and y are variables.

For example, 8x + 2y = 7 is the standard form of a linear equation in two variables.

The equation is given in the question, as follows:

12x + 8y = 24

Isolate the variable of y for the above equation,

8y = - 12x + 24

Divided both sides by 8 into the equation,

y = - (12x)/8 + (24)/8

y = -(3/2)x + 3

This equation is in slope-intercept form.

Learn more about the equation here:

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Deandra is doing her math homework out of 24 problems total could be completed the first world problems and 1 hour and the last 12 problems in 3 hours what is the unit rate for all 24 problems
A: 4 problems per hour
B: 6 problems per hour
C: 8 problems per hour
D: 12 problems per hour​

Answers

It’s B
6 problems per hour

Answer:

I believe the answer is B. Six problems per hr (hour)

A cell phone charges $50 for the phone plus a monthly service charge of $30. What would be the total cost after 3 months?

Answers

Answer:

140 dollas

Step-by-step explanation:

Answer:

$140

Step-by-step explanation:

Phone cost: $50

1 Month of service charge: $30

3 Months of service charge: $90

Total cost: $30 + $90 = $140

A snail can move approximately 0.30 meters per minute. How many meters can the snail cover in 20 minutes?

Answers

Answer:

6

Step-by-step explanation:

  0.30

x    20

     6

Will give Brainliest, like, comment and 10 points to best answer

Could you help me with this please?

Answers

Answer:

You are simply dividing a by 3 to reach y each time!

Step-by-step explanation:

Evaluate the function for f(-9 if (x) = 3/5 x + 8

Answers

Answer:

f(-9)= 2.6

Step-by-step explanation:

3/5*-9= -5.4

-5.4+8= 2.6

Answer:

Substitute the value of the variable into the function and simplify.

-9f

Step-by-step explanation:

.What is the slope of the line defined by the
equation 3 x-2 y= 10? PLEASE I WILL GIVE BRAINLEST IF CORRECT

Answers

Step-by-step explanation:

Multiply 3x-6

Rearrange y=10/3x-6

slope=10/3 x

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