(8.91 times 10 Superscript 2 Baseline) (3.3 times 10 Superscript 12 Baseline)

Answers

Answer 1

Answer:

  2.9403×10^15

Step-by-step explanation:

Your calculator can work this out for you.

  [tex](8.91\times10^2)(3.3\times10^{12})=(0.891\times10^3)(3.3\times10^{12})\\\\=(0.891\times3.3)(10^{3+12})=\boxed{2.9403\times10^{15}}[/tex]

__

The applicable rule of exponents is ...

  (10^a)(10^b) = 10^(a+b)

__

Additional comments

You can keep a product the same if you divide one factor by 10 and multiply the other factor by 10:

  8.91×10² = (8.91/10)(10×10²) = 0.891×10³

I like to "pre-scale" the numbers in a problem like this so that the product comes out in scientific notation with no adjustment needed. That is, the product of the two mantissas is a number between 1 and 10.

Here, you can tell the product of 8.91 and 3.3 will be more than 24, so scaling will be necessary. It is convenient to scale the larger mantissa to be less than 1 so the product comes out less than 10. That is why we made it 0.891×10³.

(8.91 Times 10 Superscript 2 Baseline) (3.3 Times 10 Superscript 12 Baseline)
Answer 2

Answer:

 2.9403×10^15

Step-by-step explanation:

i took the unit test


Related Questions

‼️Please help‼️
Find the value of x and RT if RS=24 cm

Answers

RS = RT + TS = 24 cm

Let's plug our values into the equation above

24cm = 6x - 4 + 10cm

Combine like terms

24 cm = 6x + 6 cm

Subtract 6 cm from both sides

18 cm = 6x

Divide both sides by 6

3 = x

Plug 3 into the expression for RT

RT = 6(3) - 4 = 18 - 4 = 14 cm

Similarly, we know that TS = 10 cm and RS = 24 cm

24 cm - 10 cm = 14 cm

RT = 14 cm

14 cm = 6x - 4

Add 4 to both sides

18 cm = 6x

Divide both sides by 6

3 = x

Cell Phone Plus and Phones R Us offer special prices for new customers. Each cell phone company’s advertisement is shown below.

Cell Phone Plus

Phones R Us

$50 Activation Fee

$15 per month

$60 Activation Fee

$10 per month



For what number of months, x, would the cost be the same?

Answers

2 months, 50+15x =60+10x when x=2

Mr. Gonzalez earns his living as a salary plus commission employee. His annual salary is $18,000. He makes 4% commission on all of his sales. Mr. Gonzalez wants to earn $60,000 this year. If his earnings are divided evenly throughout the year, how much in monthly sales would Mr. Gonzalez need to have?

Answers

Mr. Gonzalez's monthly sales must be $87,500.

What is percentage?

"It is a number or ratio that can be expressed as a fraction of 100"

For given example,

Let 's' represents the monthly sale.

So, the annual sales are 12 × s

He makes 4% commission on all of his sales.

So, the commission on (12 × s) sales would be,

= 12 × s × (4%)

= 12× s × 0.04

Mr. Gonzalez wants to earn $60,000 this year.

So, we get an equation,

⇒ 18000 + (12 × s × 0.04) = 60000

⇒ 12 × s × 0.04 = 60000 - 18000

⇒ 12 × s × 0.04 = 42000

⇒ s × 0.04 = 42000/12

⇒ s × 0.04 = 3500

⇒ s = 3500/0.04

s = 87500

Therefore, Mr. Gonzalez's monthly sales must be $87500.

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What is the solution to this linear system?

Answers

The answer is (-1,7)

I got this answer because to solve a system, you find the point on the graph where both lines intersect. And that point in this graph is (-1,7). Hope this helps!:)))))

A small toy car costs $3 a large toy car costs 5 times as much as the small one Aaron want to buy 1 of each which equation can be used to find the cost a of the 2 cars

Answers

Answer:

$18

Step-by-step explanation:

small -$3

large - $15

3+15=18

Answer: The equation is $3 + ($3 x 5)

Step-by-step explanation:

You add $3 to 3 multiplied by 5 to get the cost of the second car which will then give you the cost of both cars. Then you simplify and get $3 + $15 which gives us the answer $18. So the cost of both the cars is $18.

What is the simplified expression for 5 to the power of negative 3 multiplied by 2 to the power of 2 multiplied by 5 to the power of 6 whole over 2 to the power of 3 multiplied by 5 to the power of 2? (1 point) Group of answer choices 5 over 2 5 to the power of 2 over 2 2 to the power of 2 over 5 to the power of 2 5 over 2 to the power of 2

Answers

Answer:

I got the answer 5 over 2

Answer:

5/2

Step-by-step explanation: hope it helps :)

Please help me with this!

Answers

A (-5, 6)
B (-5, 2)
C (-9, 2)
D (-9, 6)

As it is just a rotation around the origin by 180, you can just change the sign in front of the numbers :)

What is 25.894 - 12.65

Answers

Answer:

0.244

Step-by-step explanation:

Step 1:

12.894 - 12.65

Answer:

0.244

Hope This Helps :)

Answer:  13.244

Step-by-step explanation:

3.16 x 10 with the power of 3

Answers

Answer:

3160

Step-by-step explanation:

3.16 x 10^3

10^3 = 1000

so you move the decimal point three times to the right

I hope this helps

Answer:

3,160

Step-by-step explanation:

This is expressed in scientific notation. Since 3 is positive, that means the number is actually larger than 3.16, not smaller.

You would take

3.1600

and move the decimal point 3 spaces to the right

31.600

316.00

3160.0

3,160 is your answer

Hope this helps :-)

hey how do you do this problem​

Answers

I am not sure hope you figure it out

Find the coordinates of the midpoint of the segment with endpoints (-8,5) and (4, -3)​

Answers

Answer:

[tex]MP= (-2,1 )[/tex]

Step-by-step explanation:

[tex]MP= (\frac{x_1+x_2}{2} )(\frac{y_1+y_2}{2} )\\MP= (\frac{-8+4}{2} )(\frac{5+-3}{2} )\\MP= (\frac{-4}{2} )(\frac{2}{2} )\\MP= (-2,1 )[/tex]

There is a 40% chance of rain on Tuesday and a 50% chance of rain on Friday. What percent chance will it rain both Tuesday and Friday?

Answers

Answer:

You will submit your completed work from the "Explore: Famous People" assignment here. Type or copy/paste your response directly into the space provided.

As a reminder, the activity instructions are included below:

Using Spanish resources, research a famous historical figure from a Spanish-speaking country. You may consider finding information on Miguel Hidalgo, Simón Bolívar, José de San Martín, Benito Juarez or Ferdinand and Isabel.

In 1-2 Spanish paragraphs, write a brief biography and then describe his/her important contributions. In addition, explain this person's significance in the country where he/she is from.

You will be graded on (1) evidence of research conducted, (2) appropriateness of response, and (3) overall quality of your response.

You may use outside sources (Internet, books, magazines, etc.) to gather information for this assignment. However, be sure not to copy the information directly from those sources. Copying information and presenting it as your own work is considered plagiarism and will result in a failing grade. You will need to rephrase the information into your own words and cite the source of the information you used.

Step-by-step explanation:

If the diameter of a circle is 18 feet, which is closest to the circumference?
A. 56 52 feet
B. 9 feet
C. 573 feet
D. 28 26 feet

Answers

Answer:

A. 56 52 feet

Step-by-step explanation:

[tex]d = 18 \: ft \\ c = \pi \: d \\ c = 3.14 \times 18 \\ c = 56.52 \: ft[/tex]

The closest to the circumference is  56 52 feet.

It is required to find the circumference.

What is circle?

A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “centre”. The perimeter around the circle is known as the circumference.

Given:

Diameter of a circle is 18 feet.

Radius=18/2=9  feet.

We know that

circumference of the circle= 2πr

According to given question we have,

circumference of the circle= 2πr

circumference of the circle=2 π*9

circumference of the circle=56.54 feet.

Therefore, the closest to the circumference is  56 52 feet.

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Solve for the given variable 7x+5y=6 for y

Answers

Answer:

y = (6/5) - (7/5) x

Step-by-step explanation:

goal: to rearrange the equation such that it takes the form:

y = f(x) ; where f(x) is an expression in terms of x

Given:

7x+5y=6   subtract 7x from both sides

5y = 6 - 7x   (divide both sides by 5)

y = (6-7x) / 5

y = (6/5) - (7/5) x

3. There are 15 members in student council. Each member must pay a yearly due
of$22.50. During the first month of school 6 members paid their yearly dues. The
remaining members paid their dues in the second moth of school. How much
money was collected in dues during the second month of the school year?

Answers

Answer:

202.50 was collected in the second month of school

Step-by-step explanation:

thee are fifteen total members and 6 had already paid witch means that 9 still had to pay. 9 times 22.50 is 202.50

y = 9(x – 8)2 + 17
Standard form

Answers

Answer:

I think that the answer would be y=18x−127

- 3m + 6 (m - 2) = 9

Answers

Answer:

m=7

Step-by-step explanation:

step 1: -3m+6m-12=9

step 2: 3m-12=9

step 3: 3m=21

step 4: m=7

Answer:

m=7

Step-by-step explanation:

1. Simpilfy both sides of the equation & combine like terms

2.  Add 12 to both sides

3. Divide 3 from both sides

21 divided by 3 equals 7.

find the 120th term of the following sequence
7, 14, 21, ...
a120 =

Answers

Answer:

840

Step-by-step explanation:

There is a common difference d between consecutive terms, that is

d = 14 - 7 = 21 - 14 = 7

This indicates the sequence is arithmetic with n th term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 7 and d = 7 , thus

[tex]a_{120}[/tex] = 7 + (119 × 7 ) = 7 + 833 = 840

Probability.

!!!!!!!!!!!!!!
will mark brainliest

Answers

Answer:

2/9ths hope this helps!

Please mark brainliest.

Step-by-step explanation:

-5x - 12 + 8x - 8
Your answer

Answers

Answer:

(3x)-20

Step-by-step explanation:

Answer:

3x-20

Step-by-step explanation:

You just collect like terms. you add -5x + 8x = 3x and -12+-8 =-20



This table displays the height of a balloon as it floats away.



A 2-column table with 6 rows. Column 1 is labeled Time (minutes) with entries 10, 11, 12, 13, 14, 15. Column 2 is labeled Height (feet) with entries 64, 73.5, 83, 92.5, 102, 111.5.



What is the rate of change for the height as the time increases by 1 minute?





Rate of change =

Answers

Answer:

The rate of change is 9.5 ft/min

Step-by-step explanation:

every minute the balloon rises in 9.5 feet increments

Answer:

its 9.5

Step-by-step explanation:

Zack did 1/6 of his homework in 1/2 an hour. How much can he do in one hour

Answers

Answer:

1/3

Step-by-step explanation:

Please help me out people! Probability I guess!..........................................................................................................................................................there are 10 marbles. you get two out of the bag. how much percent of the marbles did you take out?

Answers

Answer:

20%

2 out of 10 marbles is 2/10.

Convert 2/10 to a percentage.

2/10 = 20%.

The answer is 20%. Hope it helps!

Answer:

20 percent

Step-by-step explanation:

I can't get the percentage sign . lol

The expression 14 to the power of 6 divided by 14 to the power of 4 is equal to

Answers

Answer:

[tex]14^{2}[/tex] [tex]or 196[/tex]

Step-by-step explanation:

[tex]14^{6}[/tex] ÷ [tex]14^{4}[/tex]

all you have to do it subtract

[tex]14^{6} - 14^{4}[/tex]

=

[tex]14^{2}[/tex]

which is equivalent as 196.

to solve [tex]14^{2}[/tex], it's just

14 × 14 = 196

1       2


MONEY FOR FUN
If you earn $50,000 a year
and spend 5 percent of
that on sports and enter-
tainment, how much do
you spend per year on
sports and entertainment?
Th

Answers

Answer:

$2,500

Step-by-step explanation:

1.) 5% would be switched to decimal form which is 0.05

To do this, start with 5.

Move the the decimal point two place values to the left.

2.) Now multiply 50,000 and 0.05

3.) This equals 2,500

2p²q³×5pq÷10p³q⁴ PLEASE SOLVE THIS EQUATION WITH WORKING. THANK YOU!

Answers

Answer: p^6q^8

Step-by-step explanation:

HELP I WILL GIVE BRANLIEST What is the slope of the line in the graph?​

Answers

Answer:

the solpe is 1x or just x

Step-by-step explanation:

rise over run both are 1

Answer:

[tex]\boxed {\tt m=1}[/tex]

Step-by-step explanation:

The slope formula is:

[tex]m= \frac{y_2-y_1}{x_2-x_1}[/tex]

where (x₁, y₁) and (x₂, y₂) are points on the line.

Let's pick two points from the graph : (1,2) and (4,5). Match the variables and numbers, so:

[tex]x_1=1\\y_1=2\\x_2=4 \\y_2=5[/tex]

Substitute the values into the formula.

[tex]m=\frac{5-2}{4-1}[/tex]

Solve the numerator. Subtract 2 from 5.

[tex]m=\frac{3}{4-1}[/tex]

Solve the denominator. Subtract 1 from 4.

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

Divide 3 by 3.

[tex]m=1[/tex]

The slope of the line is 1.

Pls help stuck on it

Answers

x+16 should be equal to 2x+17+6.If you do the algebra you get x is equal to negative 7 so the answer is C

C. x = -7

2x + 23 = x + 16

x = -7

Find the missing number so that the equation has infinitely many solutions. -4x+20=blank x+20

Answers

Answer:

0

Step-by-step explanation:

20 cancels itself out so

-4x = x

-4x - x = 0

-5x = 0

divide both sides by -5x

x= 0 but we don't write it out

For the equation -4x+20 to have infinite solution , it should be equal to

-4x+20 = -4x+20 , so the blank value is -4

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be -4x+20 = blank x + 20

Now ,

If the lines are coincident and have the same y-intercept, an endless solution can be generated.

The two lines with the same y-intercept and slope are the same line.

If the two lines share the same line, the system will produce an infinite solution. As a result, if the system of equations contains an infinite number of solutions, the system is consistent.

So , Both the equations should be equal for it to have infinite solutions

Therefore , -4x+20 = -4x+20

Hence , the value of the blank is -4

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give the slope of the line (if it exists) and the y intercept (if it exists) and graph the line 5y=3. what is the slope?​

Answers

Answer:

0

Step-by-step explanation:

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