A company produces 4.5610^3 light bulbs each week. Written in scientific notation, which is the best estimate of how many light bulbs the company will make in 9.3610^2 weeks?

Answers

Answer 1

[tex]$4.56 \times 10^3$ bulbs/week. After $9.36 \times 10^2$[/tex] weeks, approximately [tex]$4.27 \times 10^6$[/tex] bulbs produced.

To find the total number of light bulbs the company will produce in [tex]$9.36 \times 10^2$[/tex] weeks, you multiply the number of light bulbs produced each week by the number of weeks:

[tex]\[(4.56 \times 10^3) \times (9.36 \times 10^2)\][/tex]

When you multiply numbers in scientific notation, you multiply the coefficients and add the exponents. So:

[tex]\[(4.56 \times 10^3) \times (9.36 \times 10^2) = (4.56 \times 9.36) \times (10^3 \times 10^2)\]\[= 42.6816 \times 10^{3+2}\]\[= 42.6816 \times 10^5\][/tex]

Now, we rewrite [tex]$42.6816$[/tex] in scientific notation:

[tex]\[42.6816 = 4.26816 \times 10^1\][/tex]

So, the total number of light bulbs the company will produce is:

[tex]\[4.26816 \times 10^1 \times 10^5 = 4.26816 \times 10^{1+5} = 4.26816 \times 10^6\][/tex]

In scientific notation, the best estimate of the number of light bulbs the company will make in [tex]$9.36 \times 10^2$ weeks is $4.27 \times 10^6$.[/tex]

Related Questions

Ross drove 300 miles at r miles per hour and 360 miles at r+10 miles per hour. If the time needed to drive 300 miles was equal to the time needed to drive 360 miles, find the rates at which Ross drove (Express the time needed for each part of the trip as t=d/r)

Answers

For the 300 mile part:
t = d/r
t = 300/r

For the 360 mile part:
t = d/r
t = 360/(r + 10)

The times were equal, so

300/r = 360/(r + 10)

360r = 300(r + 10)

360r = 300r + 3000

60r = 3000

r = 50

r + 10 = 60

He drove 300 miles are 50 mph and 360 miles at 60 mph.
He drove

Tell whether the sequence is Arithmetic, Geometric, or Neither. -5, 95, 195, 295, 395

Answers

arithmetic
rule: +100

I am pretty sure it is arithmetic

To evaluate the following expression, what steps should you do first? 7 × (4 + 16) ÷ 4 - 2

Answers

As according to PEMDAS, the step you should do first is (4+16) since it is in parentheses. Then, you do multiplication and division (order does not matter really, the two operations are on the same level so you just solve left to right) and addition and subtraction (order does not matter really, the two operations are on the same level so you just solve left to right).

1. do 4+16 which equals 20.
2. then do 7 x 20 which equals 140.
3. then divide 140 by 4 which equals 35.
4. then do 35 - 2 you'll get 33.
Hoped i can help.

A rectangular park, with dimensions of 1500ft x 2000ft has a diagonal walking path that goes from corner to corner. How long is the walking path?

250 ft

2500 ft

3500 ft

5000 ft

Answers

2500 ft is your answer your welcome

The function f(x)=40,000(0.75)x represents the number of bacteria present in a petri dish after x hours. What is the average rate of change in the number of bacteria between Hour 2 and Hour 5?
Question 1 options:
A.−6102 bacteria/h
B.4336 bacteria/h
C.−4336 bacteria/h
D.6102 bacteria/h

Answers

Important: f(x)=40,000(0.75)x should be written f(x)=40,000(0.75)^x.
f(b) - f(a)
The average rate of change (arc) is --------------
b - a

Here that comes to 40000 [0.75^5 - 0.75^2]
--------------------------------
5-2

or arc = -13007.81 / 3 = -4335.9 bacteria per year.

Final answer:

The average rate of change in the number of bacteria between Hour 2 and Hour 5 is approximately -3,482 bacteria/hour.

Explanation:

To find the average rate of change in the number of bacteria between Hour 2 and Hour 5, we need to calculate the difference in the number of bacteria at Hour 5 and Hour 2, and then divide it by the difference in time (3 hours).

At Hour 2, substitute x = 2 into the function f(x) = 40,000(0.75)^x:

f(2) = 40,000(0.75)^2 = 40,000(0.5625) = 22,500 bacteria.

At Hour 5, substitute x = 5 into the function:

f(5) = 40,000(0.75)^5 = 40,000(0.3164) = 12,656 bacteria.

Now we can calculate the average rate of change:

Average rate of change = (f(5) - f(2)) / (5 - 2) = (12,656 - 22,500) / 3 = -3,482 bacteria/hour. The average rate of change in the number of bacteria between Hour 2 and Hour 5 is approximately -3,482 bacteria/hour.

you run one lap around a mile track every 8 minutes. Your friend runs around the same track every 10 minutes. You both start at the starting line at the same time

Answers

What is the question? :)

Divide. −5 5/8÷5

a) −1 1/8

b) −5/8

c) 5/8

d) 1 1/8

Answers

try to go with D.? that's what I would pick.

Answer:

I believe the answer is A, but I can't be completely sure.

Step-by-step explanation:

math help will give brainliest
X is 7 but I got m angle D wrong

Answers

Answers:
x = 7
The measure of angle D is 14 degrees

-----------------------------------------------
-----------------------------------------------

Angle C and angle D are complementary, which means they add to 90 degrees.

(angle C) + (angle D) = 90
(12x-8) + (3x-7) = 90
12x-8 + 3x-7 = 90
(12x+3x) + (-8-7) = 90
15x-15 = 90
15x-15+15 = 90+15
15x = 105
15x/15 = 105/15
x = 7

So you have the correct x value. Nice work.

Now use this x value to find the measure of angle D

angle D = 3*x - 7
angle D = 3*7 - 7
angle D = 21 - 7
angle D = 14 degrees

when rounded to the nearest hundred which of the following would round of to 4,600

Answers

4598 is one of them but there is ALOT

How many solutions does the following equation have?

Answers

The solution to the given equation is x = -1. Thus, the answer is option B exactly one solution.

How to determine the number of solutions for the equation

To determine the number of solutions for the equation 3(x + 5) = -4x + 8, simplify and solve it:

Distribute the 3 on the left side of the equation:

3x + 15 = -4x + 8

Combine like terms:

3x + 4x = 8 - 15

7x = -7

Divide both sides of the equation by 7 to isolate the variable x:

x = -1

Now, we have found a solution for the equation, which is x = -1.

Since we have found exactly one solution, the answer is (b) exactly one solution.

Write 7.50x +15y=750 in slope intercept form.

Answers

y= .5x + 50 is the answer!

A cracker company packages its product in a box that is shaped like a rectangular prism. The box is 6 inches long, 2 inches wide, and 8 inches high.

V=lwh

What is the volume of the box?

A.22 in³
B.50 in³
C.96 in³
D.16 in³

Answers

As the equation is already given, we can just substitute the corresponding values in it!
Volume = 6 x 2 x 8
= 96 in3
So the answer is C. :)

Mandy has 36 cups of apple juice. she uses 1/4 of the juice to make punch. she then uses the remaining juice to pour single servings that are 1/3 cup each. how many single servings does Mandy pour?

Answers

36/4
That is 9
36-9=27
27/3=9
27-9=18
18 Jello Apple Juice Shots

I need the expanded form of 5 times 923

Answers

4000+600+10+5 is the answer

4000,600,10,5 4615 thats it

Which rhetorical device would you use to make a comparison between the current situation and another situation A refrain
B parallel structure
C imagery
D allusion

Answers

refrain - a line or part of a line that is repeated in a poem

parallel structure - using the same pattern of words to show that words are of equal importance to help the reader comprehend what is written.

imagery - language or description that appeals to our five sense.

allusion - makes a reference to something or someone else.

so d is your answer! hope this helps, God bless!

solve by factoring and show work x^2-3x-10=0

Answers

Hello there!

[tex]x^2 - 3x - 10=0 Factorize the left side (x + 2)(x-5)=0 Set factors equal to 0 x + 2 = 0 or x - 5 = 0 x = -2 or x = 5 Best of luck! [/tex]

The first rule of factoring is to try to factor a common factor from all the terms. In this case, there is no common factor.

Now we factor the trinomial.
This quadratic trinomial is of the form
x^2 + ax + b = 0
where the coefficient of the x^2 term is 1.
To factor it, find two numbers that multiply to "b", the constant term,
and add to "a", the coefficient of x.

The numbers are -5 and 2 since -5 * 2 = -10, and -5 + 2 = -3.

Now we write two sets of parentheses with x on the left side:

(x )(x ) = 0

We fill in the parentheses with the two numbers we found above, -5 and 2.

(x - 5)(x + 2) = 0

That is the factoring.

Write 5,256 divided into 52 and show your work

Answers

Set up you question 5256 divided by 56 then write the answer. Finally if you get a remainder put the answer then the remainder

A plus catering service typically plans on making 5 meals more than what the client has purchased in order to be sure they have enough food. This cost is passed onto the client. Each meal cost the client $17.

Which expression below describes the total amount of money charged to the client for any number of meals purchased.

A. 17(x + 5)

B. (17 + 5)x

C. 17x + 5

D. 17 + 5x

Answers

The correct answer is A. 17(x + 5)

(A) would be your answer because you have you need the total ordered food and multiply it by the cost and then you get your total you owe.

10d+10=5d+45 plz help

Answers

10d + 10 = 5d + 45

10d + 10 (-5d) = 5d (-5d) + 45

5d + 10 (-10) = 45 (-10)

5d = 35

5d/5 = 35/5

d = 7

hope this helps

10d + 10=5d+45

*subtract 5d from both sides
5d +10=45

*subtract 10 from both sides
5d=35

*divide by 5
d= 7

(:

what is 3.24 x 10^-4 divided by 8.1 x 10^-7 in scientific form?

Answers

You first put the problem in parenthesis form like this (3. 24 * 10 ^-4) / (8.1 * 10^-7). Solve the pieces in the parenthesis first; you may need a calculator for this step. Then you should get 0.000324 / 81000000, then just divide to get 4E-12 (which is the answer in Scientific Notation).

Which fraction has a repeating decimal as its decimal expansion?
A. 3/19
B.3/16
C. 3/11
D. 3/8

Answers

3/19 = 0.157...not this one
3/16 = 0.1875...not this one
3/11 = 0.2727 <== this one does
3/8 = 0.375...not this one

Answer:

3/11 CCC

Step-by-step explanation:

The inverse of a function occurs when _____.

Answers

Final answer:

The inverse of a function occurs when the roles of x and y are interchanged, reflecting the function's graph across y = x.

Explanation:

The inverse of a function occurs when the roles of x and y are interchanged, which involves reflecting the function's graph across the line y = x. For a function to have an inverse, it must pass the horizontal line test, meaning each output value corresponds to a unique input value.

Use the Rational Zeros Theorem to write a list of all possible rational zeros of the function.
f(x) = -2x4 + 4x3 + 3x2 + 18

Answers

1. Get all possible numerators of rational zeros by listing all the possible divisors of the absolute value of the constant term. In this case the constant term is -4. It's absolute cvalue is 4. The divisors of 4 are 1,2, and 4, since they are the only integers which divide evenly into 4. 2. Get all possible denominators of rational zeros by listing all the possible divisors of the coefficient of the largest power of x. In this case the term with the largest power of x is 9x^5 and the absolute value of its coefficient is 9. The divisors of 9 are 1,3, and 9, since they are the only integers which divide evenly into 4. 3. Make all possible fractions having a numerator from the set of possible numerators and a denominator from the set of possible denominators. In this case that would be , , , , , , , , 4. Reduce them, and remove any duplications (sometimes there are duplications, there just aren't any here). 1, , , 2, ,, 4, , 5. Give them both signs, + and - ±1, , , ±2, ,, ±4, , ------------------------------------------------ Find all real zeros of the function. g(x)= x^3 + 4x^2 - x - 4 We don't even need the above method to do this one because it can be factored by grouping: g(x) = x³ + 4x² - x - 4 g(x) = x²(x + 4) - 1(x + 4) g(x) = (x + 4)(x² - 1) g(x) = (x + 4)(x - 1)(x + 1) So the zeros are found by setting all the factors = 0 x + 4 = 0, x - 1 = 0, x + 1 = 0 x = -4, x = 1, x = -1 Edwin

To list all possible rational zeros of the function f(x) = -2[tex]x^{4}[/tex] + 4[tex]x^{3}[/tex]+ 3[tex]x^{2}[/tex] + 18, apply the Rational Zeros Theorem, which suggests dividing the factors of the constant term (±1, ±2, ±3, ±6, ±9, ±18) by the factors of the leading coefficient (±1, ±2), leading to a list of possible rational zeros.

To use the Rational Zeros Theorem to find all possible rational zeros of the function f(x) = -2[tex]x^{4}[/tex] + 4[tex]x^{3}[/tex]+ 3[tex]x^{2}[/tex] + 18, we need to look at the factors of the constant term and the leading coefficient. For the constant term (18), the factors are
±1, ±2, ±3, ±6, ±9, ±18. For the leading coefficient (-2), the factors are ±1 and ±2. According to the Rational Zeros Theorem, the possible rational zeros are obtained by taking all the factors of the constant term and dividing them by the factors of the leading coefficient.

The list of all possible rational zeros is ±1, ±2, ±3, ±6, ±9, ±18, ±1/2, ±3/2, ±9/2, and ±18/2.

Two fifths of the fish in Gary's fish tank are guppies onefourth of the guppies is red what fraction of the fish in Gary's tank are red guppies what fraction of the fish in Gary's tank are not red guppies show your work

Answers

How many fish are there in all? We need that to answer the question.

what is another way to write 4 hundreds

Answers

40 tens is another way of writing 4 hundreds because 40 tens would give you 400 and 4 hundreds also give you 400.

Another way to write 4 hundred is to express it in scientific notation which is 4.0 × 10²

Scientific notation is another way of expressing figures in standard form. It is a proper form of writing a large number in simpler ways.

Another way to 4 hundred is to express it in a standard form or scientific notation.

400 hundred in scientific notation = 4.0 × 10²

Therefore, we can conclude that 4 hundred is to express it in scientific notation which is 4.0 × 10².

Learn more about scientific notation here:

https://brainly.com/question/1705769?referrer=searchResults

Write a word phrase to represent the numerical expression 5+(17-8)

Answers

A word phrase would be
Distribute Property

There were 5 friends that met up at the park, 17 more came... then 8 of them had to go home for dinner.

AT&T charges $76.00 for 500 minutes or Sprint charged $54.00 for 450 minutes which is the better deal

Answers

Final answer:

To determine the better deal between AT&T and Sprint, we need to compare the cost per minute for each plan. Sprint offers a lower cost per minute, making it the better deal.

Explanation:

To determine which deal is better, we need to compare the cost per minute for each plan. For AT&T, the cost per minute is $76.00/500 minutes = $0.152 per minute. For Sprint, the cost per minute is $54.00/450 minutes = $0.12 per minute.

Therefore, the better deal is Sprint because it offers a lower cost per minute compared to AT&T.

Write 24.357 in the Expanded form using fractions

Answers

24+357/1000 = 24.357. Just remember decimals are in tenths, hundredths and in this case thousandths

At the gas station each liter of gas costs $3 but there is a promotion that for every beverage you purchase you save 0.20 cents on gas. Is your total savings on gas proportional to the number of beverages you purchase?

Answers

When a relationship between two variables is proportional, it means that there is a constant ratio between the two variables. In this case, the answer is yes, there is a proportional relationship between total savings on gas and the number of beverages purchased.

You save $0.20 on gas for every beverage you buy.
Let s=dollars saved on gas, and b=# of beverages purchased
s=.2b
or
s=b/5

Answer:

Yes

Step-by-step explanation:

The answer is yes it is proportional

factor Completely 2x^2+11x-63

Answers

ur answer would be (2x-7)(x+9)

Answer:

(x + 9) × (2x - 7)

Step-by-step explanation:

You need to write the equation as a difference

2x^2 + 18x - 7x - 63

Then factor the expressions

2x(x + 9) - 7(x + 9)

Factor again

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A company produces 4.56*10^3 light bulbs each week. Written in scientific notation, which is the best estimate of how many light bulbs the company will make in 9.36*10^2 weeks?

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A company produces 4.5610^3 light bulbs each week. Written in scientific notation, which is the best estimate of how many light bulbs the company will make in 9.3610^2 weeks?