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.


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Answer:

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Step-by-step explanation:

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Multiply both sides by -3. Flip the sign because we are multiplying by a negative.

Solution:

-6 > -x

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Hope this helps!

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Answer:

3

Step-by-step explanation:

Is the function f(x)=

2
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Answer:

as long as the equation has no exponents or square roots it is linear

Step-by-step explanation:

Which is bigger 1 2/7 or 1 7/20?

Answers

the bigger one is 1 7/20

Answer: 1/27 is greater than 1 7/20 I believe.

find the slope of the line that passes through (10,6) and (2,11).​

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Answer:

m=−5/8

Step-by-step explanation:

On Saturday, you bowl at Show Place Lanes, where renting shoes costs $3 and each game bowled is $4.50. On Sunday, you bowl at Pinz where the shoe rental is $6 and each game bowled is $3. If you spent the same amount each day, how many games, g, were bowled?​

Answers

Answer:

x=2

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Step-by-step explanation:

3 + 4.50x = A

6 + 3x = A

3 + 4.5(2) = 12

6 + 3(2) = 12

Simplify the expression.

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Answers

Answer:

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Step-by-step explanation:

Veronica is buying a new pair of Hollister jeans for $50.00. They are on sale for 25% off.
a. What is the sale price of the jeans?
b. If the sales tax is 6%, how much wil Veronica pay for the jeans after the discount and
taxes?

Answers

Answer:

a- $37.50

b- $39.75

Step-by-step explanation:

Hope this helped!

Answer:

a) 37.5

b) 39.75

Step-by-step explanation:

a) 50 (price of jeans) x 0.75 (amount after redution sale 100% - 25%) = 37.5

b) 37.5 (price of jeans after sale) x 1.06 (total price x 6%) = 39.75

HElp wHat iS iT!?!?!??!

Answers

Answer:

a

Step-by-step explanation:

what is the circumference of a circle that has a radius of 14?
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Answers

Answer:

C≈87.96

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

Answers

a = 25

Explanation:
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Mackenzie built the small lego set it cost $5.49 Caleb built the large lego set how much do you think the large lego set cost

Answers

Answer:

Since there is no available data for the Lego set, it is safe to assume that the cost would be definitely higher than the small Lego set built by Mackenzie. For example, if the dimension of the small Lego set is 50 X 30 X 6 (length X breadth X height all in cm ) which cost Mackenzie $5.49.

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Step-by-step explanation:

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Answers

Step-by-step explanation:

y = 7x + 1

Slope - Intercept Form

Abigail is 5 years older than Brenda.
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Answers

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Step-by-step explanation:

Age problems are the algebra word problem which deals with the ages of people in the present time.

Given information-

Abigail is 5 years older than Brenda.

Brenda is twice as old as Carly.

The total of their ages is less than 40.

Age problems

Age problems are the algebra word problem which deals with the ages of people in the present time.

Suppose Abigail is A, Brenda is B and Carly is C years old.

As Abigail is 5 years older than Brenda. Thus,

[tex] A=B+5[/tex]                .... 1

As Brenda is twice as old as Carly. Thus,

[tex]C=\dfrac{B}{2} [/tex]                    ..... 2

As the total of their ages is less than 40.

[tex]A+B+C=40[/tex]

Keep the values of A and C from the equation 1 and 2 in the above equation,

[tex]\begin{aligned}\\ B+5+B+\dfrac{B}{2} &=40\\ 2B+\dfrac{B}{2} &=35\\ \dfrac{4B+B}{2}&=35\\ B&=\dfrac{35}{5} \times2\\ B&=14\\ \end[/tex]

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[tex]A=14+5\\ A=19[/tex]

Thus the Abigail is 19 year old.

Learn more about the age related problem here;

https://brainly.com/question/91727

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Solve. x =
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B.
C
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Answers

Answer:x= 49°

Step-by-step explanation:

Hideki buys 2 sweaters for $18 each. He can use one of the following coupons:
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Coupon 2: 25% off entire purchase
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is a better deal. Coupon 1 would result in a total cost of
Choose...
. Coupon 2 would result in a total cost of
Choose...
.

Answers

Answer:

Choose... Coupon 2

Coupon 2 is a better deal becausse Coupon 1 would result in a total cost of $25.2

Coupon 2 would result in a total cost of $6.5

Choose Coupon 2

Step-by-step explanation:

Coupon 1: 18+(18x0.4) =

Coupon 2: 18+18=26 26x0.25=6.5

Answer:

Coupon 2

Step-by-step explanation:

Solve the given quadratic equation 2x2 + x + 1 = 0.

anyone over here who is a half Korean lol






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Answers

Answer:

2×2+x+1=0

4+x+1=0

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Answers

Answer:

-123

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

8+3x=20

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Answers

Answer: =2x^4−6x^3+10x^2−16x

Step-by-step explanation:

Two customers went to the post office to buy postcards and large envelopes. Each postcard costs the same amount and each large envelope costs the same amount.


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● The second customer paid $24.80 for 10 postcards and 15 large envelopes.



What was the cost in dollars of each large envelope?




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2. $1.15

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Answers

Answer:

The first one $1.42

Step-by-step explanation:

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Answers

Answer:

6/5

Step-by-step explanation:

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I WILL GIVE YOU BRAINLIEST, A THANK YOU, AND 5 STARS PLEASE ANSWER
Angelica took a math test and got 14 out of 15 problems correct. What percent of the problems did she get correct? (round to the nearest hundredth)

Answers

rounded to the nearest hundredth is about 94%

A line passes through point A (14,21). A second point on the line has an x-value that is 125% of the x-value of point A and a y-value
that is 75% of the y-value of point A. Use point A to write an equation of the line in point-slope form.

?:(

Answers

Answer:

The equation of the line in point-slope form is [tex]y-21 = - \frac{3}{2}\cdot (x-14)[/tex].

Step-by-step explanation:

According to the statement, let [tex]A(x,y) = (14,21)[/tex] and [tex]B(x,y) = (1.25\cdot x_{A},0.75\cdot y_{A})[/tex]. The equation of the line in point-slope form is defined by the following formula:

[tex]y-y_{A} = m\cdot (x-x_{A})[/tex] (1)

Where:

[tex]x_{A}[/tex], [tex]y_{A}[/tex] - Coordinates of the point A, dimensionless.

[tex]m[/tex] - Slope, dimensionless.

[tex]x[/tex] - Independent variable, dimensionless.

[tex]y[/tex] - Dependent variable, dimensionless.

In addition, the slope of the line is defined by:

[tex]m = \frac{y_{B}-y_{A}}{x_{B}-x_{A}}[/tex] (2)

If we know that [tex]x_{A} = 14[/tex] and [tex]y_{A} = 21[/tex], then the equation of the line in point-slope form is:

[tex]x_{B} = 1.25\cdot (14)[/tex]

[tex]x_{B} = 17.5[/tex]

[tex]y_{B} = 0.75\cdot (21)[/tex]

[tex]y_{B} = 15.75[/tex]

From (2):

[tex]m = \frac{15.75-21}{17.5-14}[/tex]

[tex]m = -\frac{3}{2}[/tex]

By (1):

[tex]y-21 = - \frac{3}{2}\cdot (x-14)[/tex]

The equation of the line in point-slope form is [tex]y-21 = - \frac{3}{2}\cdot (x-14)[/tex].

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