Consider the expression 103 x 0.006. a) What is the exponent in the power of 10? [ Select ] b) How many factors of 10 are in 103? [ Select ] c) How do your answers to the last two questions relate to one another? [ Select ] d) What is the value of 103 x 0.006? [ Select ]

Answers

Answer 1

Solution :

Given that the expression is :

[tex]$10^3 \times 0.006$[/tex]

This can be written as,

[tex]$\Rightarrow 10^3 \times \frac{6}{1000}$[/tex]

[tex]$\Rightarrow 10^3 \times \frac{6}{10^3}$[/tex]

[tex]$\Rightarrow 10^0 \times 6$[/tex]

a). Therefore the exponent in the power of 10

     = 0

b). Factors of 10 in [tex]$10^3$[/tex]

    = 10 x 10 x 10

    = 1000

    = [tex]$10^3$[/tex]

   So there are 3 factors of 10 in [tex]$10^3$[/tex]

c). If we compare the exponent of power of 10 in 1000 and factors of 10 in 1000, then both of them will be same.

  But in part a), we are finding exponent in the power of 10 in the expression  which is equal to 0. And in part b), we are finding the factor of 10 in 1000, which is equal to 3, as 10 x 10 x 10 = 1000.

d). The value of the expression [tex]$10^3 \times 0.006$[/tex] is 6.


Related Questions

plsssss pplssss helpppp

Answers

Answer:

Hold on i have to work it out real quick

Step-by-step explanation:

[x]/[6]=-46 , what is x

Answers

Answer:

Step-by-step explanation:

x/6 = - 46

Multiply by 6 on both sides

x = - 46 x 6

x = - 276

Answer:

x= -276

Step-by-step explanation:

x/6=-46

x= -46(6)

x= -276

i think... :)

Allen has a 75 yard spool of yarn. He needs to cut the spool of yarn into 6 1/4
yard pieces of yarn.
How many 6 1/4
yard pieces of yarn can Allen create from the 75 yard spool of yarn?

A. 6 pieces

B. 12 pieces

C. 20 pieces

D. 36 pieces

Answers

Answer:

B. 12 pieces

Step-by-step explanation:

75 / 6 1/4 or 75 / 6.25 = 12

Answer:

b (12)

Step-by-step explanation:

A $400 table is on sale for 33% off. There is a 6.8% sales tax. How would you find the final price of the table?​

Answers

Answer:

if i am right it 260

Step-by-step explanation:

What is f(x) - g(x)
f(x)=x^2 + 2x - 5
g(x)= -3x^2 - 4x + 1

Answers

Answer:

f(x)=(−1,−6)

g(x)=(−2/3,7/3)

Step-by-step explanation:

What are we finding the vertex

Answer:

A. -2x^2-2x-4

Step-by-step explanation:

:D

The population of a town is 9,000, and it grows at a rate of 4.6% per year. What will the population be in 10 years ?

Answers

Answer:

13410

Step-by-step explanation:

So, first we find 4.6% of 9000

9000 x .046 = 414

Then we multiply the 414 by 10 because they gain 414 people every year and we need to find how many people after 10 years

414 x 10 = 4140

now add 4140 and 9000

Answer = 13140

Mrs. Cohen has 950 pencils and she has 2 huge boxes, how many pencils is in each box?

Answers

Answer:

475 pencils in each box

Step-by-step explanation:

950/2= 475

Youd divide 950 by 2 where 2 represents the 2 boxes

Solve for w.

−(1/4w+8)+8=3

w=134
w = 52
w=−34
w=−12

Answers

Solve for w by simplifying both sides of the equation, then isolating the variable.

D. w = −12

Please help if you can :(

Answers

Answer:

its b

Step-by-step explanation:

I need help with number 3 and 4 please

Answers

Step-by-step explanation:

x 1 2 3 4 5 6

y 4 8 12 16 20 24

4

x 1 2 3 4 5. 6

y 2 7 12 17. 22. 27

Given h(x) = 3x + 4, find h(-1).

Answers

Plug in -1 for x
h(-1) = 3(-1) + 4
h(-1) = -3 + 4
Solution: h(-1) = 1

The value of h(-1) for the given funciton  h(x) = 3x + 4 will be 1.

What is a function?

A certain kind of relationship called a function binds inputs to essentially one output.

A function can be regarded as a computer, which is helpful.

The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.

In other words, the function is a relationship between variables, and the nature of the relationship defines the function for example y = sinx and y = x +6 like that.

Given the function  h(x) = 3x + 4

If we want to calculate the value of the function at a certain point then we need to keep that point in the function.

So,

Value of function at = -1 will be

h (-1) = 3(-1) + 4

h(-1) = 1

Hence "  The value of h(-1) for the given funciton  h(x) = 3x + 4 will be 1".

For more about the function,

brainly.com/question/23712366

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find the value of a-9 when a = 8

Answers

Answer:

-1

Step-by-step explanation:

if a is 8 plug it in to the problem, and you get 8 - 9 which is -1

Hope this helps!

Answer:

-1

Step-by-step explanation:

Jerry borrowed $400 for 5 years at 6% simple interest rate. What will the value of Jerry’s account be after 5 years

Answers

Answer:

here's the answers...,........

What are the answers?

Answers

Answer:

Step-by-step explanation:

I need the statements please.

y + 2/5y whats is its equivalent expression

Answers

Answer:

(7 y)/5 I think...

Step-by-step explanation:

Solve for w.
9- w = 224​

Answers

Answer:

-215

Step-by-step explanation:

-w = 215

w = -215

hope this helped

Find the values of X and Y

Answers

Answer:

x=90, angle bisector theorem

y=43,

90+47+y=180

=137+y=180

y=43

the width of a rectangle is ycm and its length is y+2 cm. if the perimeter of the rectangle is 32cm what is the width of the rectangle​

Answers

Answer:

[tex]\huge\mathtt{{\colorbox{silver}{ANSWER~~~↴}}}[/tex]

ꜰɪʀꜱᴛ ᴡᴇ ᴡʀɪᴛᴇ ᴛʜᴇ ɢɪᴠᴇɴ↴

⇒WIDTH = Y cm

⇒LENGTH =( y+2 )cm

⇒PERIMETER = 32cm

▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃

solution ↴

perimeter of rectangle = 2 ( length + width)

[tex]32cm = 2( (y +2) +y )cm \\ \frac{32}{2} cm = 2y + 2cm \\ 16cm = 2y - 2cm \\ 16 cm- 2 cm=2y\\ 14cm = 2y \\ y = \frac{14cm}{2} \\ y = 7cm

[/tex]

☛ so the width of the rectangle is 7cm

so we all done :D

▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃

There is 1/3 of a pie shared equally between 5 children. How much of the pie does each child receive?

1/9 pie
1/15 pie
1/18 pie
1/20 pie

Answers

Answer:

1/15 pie

Step-by-step explanation:

An easy way to do this is instead of dividing, multiply the denominator by 5. You get 15. You can say Im just making a coincidence, but try it yourself!

(1/3)/5 is basically multiplication. You may have heard the saying, "division with fractions is multiplication". Thats true. Turn 5 into 5/1 and multiply. 5/1x1/3.

you get 1/15. Hope it helps

Also you have to flip 5/1 to 1/5 and then multiply hehe. thats how you get 1/15

Answer:

Its B, 1/15 hope this helps

Step-by-step explanation:

Fiteen packs of fruit snacks cost $3. How much do 5 paxks of fruit snack cost?​

Answers

15/3 = 5/x

15x = 15

X = $1

PLEASE HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Step-by-step explanation:

The sum of all angles in a triangle is always 180.

So we can set up an equation

3/2x+1/2x+x= 180

3/2+1/2x+2/2x=180

3x+1x+2x=360

6x=360

x=60

Question in the photo

Need an answer asap!

Answers

Answer:

25 = y

Step-by-step explanation:

We know that x = 4/5 y

20 = 4/5 y

Multiply each side by 5/4

5/4 * 20 = 5/4 * 4/5 y

25 = y

The admission fee at a museum is $5 for children and $16 for adults. Yesterday, 800 people came to the museum and $8400 was collected. How many children and how many adults came to the museum?

Answers

(c + a = 800)5
5c + 16a = 8400
5c + 5a = 4000
Subtract
11a = 4400
a = 400
There were 400 children and 400 adults

An isosceles triangle has two sides of equal length, a, and a base, b. The perimeter of the triangle is 15.7 inches, so the equation to solve is 2a + b = 15.7.
Which lengths make sense for possible values of b? Check all that apply.
–2 in.
0 in.
0.5 in.
2 in.
7.9 in.

Answers

Answer:

0.5 in, 2 in

Step-by-step explanation:

It cannot be a negative number, so -2 is out.If we use Pythagorean's theorem ([tex]a^2+b^2=c^2[/tex]), we know that only 0.5 and 2 are correct values of b.

In 2018, researchers examined a random sample of 1455 "disadvantaged" Australian school children (children aged 6 – 15 from rural and outer suburban areas) and found that 4.3% of them were nearsighted. In 2014, the rate of nearsightedness among such children was 3.5%. Is this strong evidence that the parameter has changed since 2018?

Answers

Answer:

No, this is not a strong evidence that the parameter has changed since 2018. This is because, there are so many factors that could have led to the fall in percentage of "disadvantaged school students" from the initial 3.5% to 4.3%.

Some of the factors could be reduction in the number of disadvantaged students, sample size considered being considered as well as the geographic location upon which the random sampling was made.

Step-by-step explanation:

**
Please help me out I’m giving you more points! This is really important ❤️ and I’m confused please :))) thank you so very much

Answers

Answer: A,C

Step-by-step explanation: They are facing each other making them interior angles

WORTH 15 POINTS!! - Eileen's Energy Bars has determined that an energy bar measuring 3.25 inches long has a z-score of +1 and an energy bar measuring 3.50 inches long has a z-score of +2.

What is the standard deviation of the length of energy bars produced at Eileen's Energy Bars?

3.5
3.25
0.75
0.25

Answers

Answer:

0.25

Step-by-step explanaition:

The z-score represents how many deviations a value is from the mean. When the bar measures 3.25, the z-score is +1. When the bar measures 3.50, the z-score is +2. You'll notice that whenever the bar size increases by 0.25, the z-score goes up +1. So, the standard deviation from the mean must be 0.25.

Answer:

0.25

Step-by-step explanation:

i took the test

For the equation
y - 3 = 2(x + 4),
the line has a slope of 2 and contains what point?
O (3,-4)
O (-3,-4)
0 (-4,-3)
O (-4.3)

Answers

We can use the equation of tangent as a structure.

[tex]y - f(a) = f'(a)(x - a)[/tex]

Our f(a) is y-point and Our a is x-point..

Looking back at the equation, our f(a) would be 3 and a would be - 4

Therefore the answer is (-4,3)

Why are inverse operations and
properties of equality important when solving
equations? Explain.

Answers

Answer:

An inverse operation is two operations that undo each other e.g. addition and subtraction or multiplication and division. You can perform the same inverse operation on each side of an equivalent equation without changing the equality. This gives us a couple of properties that hold true for all equations.

Select the correct answer. What is the value of this expression if h = 8, j = -1, and k = –12?

Answers

Answer:

the answer is 12 thankyou lorcolantro for wasting our time

Step-by-step explanation:

ya lorcolantro you made me F

The value of the given expression j³k/h⁰ at h = 8, j = -1, and k = –12 will be 12 so option (B) will be correct.

What is an expression?

A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.

An expression is a mathematical proof of the equality of two mathematical expressions.

A statement expressing the equality of two mathematical expressions is known as an equation.

Given the expression is

j³k/h⁰

Substituting h = 8, j = -1, and k = –12 into the expression

(-1)³(-12)/(8)⁰ = -1 × (-12)/1 = 12

Hence " The value of the given expression j³k/h⁰ at h = 8, j = -1, and k = –12 will be 12".

To learn more about expression,

https://brainly.com/question/14083225

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