4x10^3 times what number is equal to 16x10^5

Answers

Answer 1

Answer:

4 × 10²

Step-by-step explanation:

16 x 10^5 ÷ 4 x 10³ = 4 × 10²

Answer 2

4 * 10² is the number when multiplied to 4 * 10³ gives 16 * 10⁵

What is division exponent theorem ?

To divide exponents (or powers) with the same base, subtract the exponents.

Division is the opposite of multiplication, so it makes sense that because you add exponents when multiplying numbers with the same base, you subtract the exponents when dividing numbers with the same base.

The given expression is

4 * 10³ multplies with   ____ =   16 * 10⁵

We have to solve this ,

Let the number be x

4 * 10³ multplies with   __x__ =   16 * 10⁵

x = (16 * 10⁵ )/(4 * 10³)

x= ( 4²  * 10⁵ )/(4 * 10³)

Therefore the numerator and denominator has the same base so

[tex]\rm 4^{2-1} \times 10^{5-3}\\\\\\4^{1} \times 10^{2}\\\\\\4\times 10^{2}[/tex]is the number that when multiplied to   4 * 10³  gives  16 * 10⁵

To know more about Exponent Theorem

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Related Questions

Graph the following features:
Y-intercept = 4
Slope = 2

Answers

Answer:

y=2x+4

Step-by-step explanation:

PLEASE PLEASE!! HELP

93 POINTS

Answers

Answer:

a) -150 feet per minute

b)-11,250 feet

c)240 minutes

Step-by-step explanation:

-3000/20 = -150 ft per minute

b) -150 times 75

c)-36000= -150x

I don't understand how to solve Sequence dots? Can you show me step by step how to solve the first one A?

Answers

Answer how but just put it on brainly

Step-by-step explanation:

it tells you the answer

Please help giving brainliest

Answers

A .
Hopes it help .......
A, they are two times more likely to buy vanilla than chocolate
Hope this helps!

Pls help!! I’ve been trining to get the answer but I can’t pls help!!

Answers

Answer:

$5740

Step-by-step explanation:

get 2.5% of 5600

5600/x=100/2.5

(5600/x)*x=(100/2.5)*x

5600=40*x

5600/40=x

140=x

x=140 <----- 2.5% of 5600

5600 + 140 = $5740

Use the Graphical Method to solve the following linear programming problems.Mr. Trenga plans to start a new business called Rivers Explorers, which will rent canoes & kayaks to people to travel 10 miles down the Clarion River in Cook Forest State Park. He has $45,000 to purchase new boats (canoes & kayaks). He can buy canoes for $600 each & kayaks for $750 each. His facility can hold up to 65 boats. The canoes will rent for $25 per day & the kayaks will rent for $30 per day. How many canoes & how many kayaks should he buy to earn the most revenue (rental income)?

Answers

Answer:

To maximize his earnings, Mr. Trenga must purchase 40 kayaks and 25 canoes.

Step-by-step explanation:

Since Mr. Trenga plans to start a new business called Rivers Explorers, which will rent canoes & kayaks to people to travel 10 miles down the Clarion River in Cook Forest State Park, and he has $ 45,000 to purchase new boats (canoes & kayaks) , and he can buy canoes for $ 600 each & kayaks for $ 750 each, and his facility can hold up to 65 boats, if the canoes will rent for $ 25 per day & the kayaks will rent for $ 30 per day, to determine how many canoes & how many kayaks should he buy to earn the most revenue, the following calculation should be performed:

65 x 750 = 48,750

48,750 - 45,000 = 3,750

750 - 600 = 150

3,750 / 150 = 25

25 x 600 + 40 x 750 = 45,000

25 x 25 + 30 x 40 = 1,825

600 x 5 = 3,000

750 x 4 = 3,000

40 x 30 + 25 x 25 = 1,825

60 x 30 + 0 x 25 = 1,800

56 x 30 + 5 x 25 = 1,805

52 x 30 + 10 x 25 = 1,810

48 x 30 + 15 x 25 = 1,815

44 x 30 + 20 x 25 = 1,820

Thus, to maximize his earnings, Mr. Trenga must purchase 40 kayaks and 25 canoes.

What type of number is 0?
Select each correct answer.
integer
I rational
irrational
real
O natural
whole

Answers

Answer:

0 is a rational number, whole number, integer, and a real number.

Step-by-step explanation:

a warehouse received a shipment of 700 cartons of raspberries, 900 cartons of blueberries, and 1200 cartons of strawberries. If the produce manager wants to check the quality of the fruit which method would yield the best results?​

Answers

1200 + 900 + 700 = 2,800

Answer:

2,800

Step-by-step explanation:

700+900+1200=2800

I would really appreciate it if someone could answer this I will give a brainlist:)

Answers

Answer:

Hypotenuse= 97

Step-by-step explanation:

H² = B² + P²

H² = (65)² + (72)²

H² = 4225 + 5184

H²= 9409

Taking square root on both sides,

H= 97


Tim bought 4 packs of football cards for $3.97 each, and a deck of
Digimon cards for $6.11. How much did Tim spend on cards?

Answers

Answer: $21.99

Step-by-step explanation:

First, we need to solve for the total cost of 4 packs of football cards

We can either do: $3.97+$3.97+$3.97+$3.97

or

$3.97 x 4

This will equal: $15.88

Now we need to add $6.11 to $15.88

$6.11+$15.88

$21.99

write the first four terms of the sequence


the rule is: start at 3 1/8, subtract 3/4​

Answers

Answer:

start at 3 1/8

1st teem = 3 1/8

2nd term = 3 1/8 - 3/4

                = 25/8 - 3/4

                = 25/8 - 6/8

                 =19/8

                 = 2 3/8

3rd term = 2 3/8 - 3/4

                = 19/8 - 3/4

                = 19/8 - 6/8

                 =13/8

                 = 1 5/8

4th term = 1 5/8 - 3/4

                = 13/8 - 3/4

                = 13/8 - 6/8

                 =7/8

                 

Step-by-step explanation:

Please help! NO FAKE ANSWERS PLEASE!!!!!

There are 20 cookies in a bowl and 19 of them are chocolate. What percentages of the cookies are chocolate?​

Answers

Ninety nine percent hope this helps!

Sorry if it didn’t :c

-179=-9-10m can anyone solve this?
immediately​

Answers

Answer:

m=17

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

m

=

17

M=17

10m=9+179
10m=170
M=17

the sum of two numbers is 61 the smaller number is 21 less than the larger number what are the numbers​

Answers

21 + 40? I didn’t really understand what you meant but hopefully this is what you’re looking for, these numbers add up to 61

If closing costs of $1,900 are associated with the refinance of a mortgage that would reduce the monthly payment from $1,140 to $1,072 refinance, it would take approximately ____ months to cover these costs. (Round your answer to the nearest full month.)

Answers

Answer:

28 Months

Step-by-step explanation:

(1140-1072)= 68

(1900/68)=27.9 ~ 28

Triangle B = 10cm
H = 4cm
area =​

Answers

Answer:

I think it's 20

Step-by-step explanation:

10x4÷2 because vase times height,the divide by 1/2 which it 2 so answer is 20

What is measurement angle B?

Answers

Answer: 80 degrees

Step-by-step explanation:

Answer:

B = 54 to the nearest degree.

Step-by-step explanation:

Remark

This is a sine law question. They can be rather nasty because no answer or 2 answers are possible. This one is well behaved because B, you are told, is acute. The two answer kind needs the supplement of an acute angle.

Sorry this blabs on and shouldn't. You are looking for <B

Formula

Sin(<B)/the side opposite = Sin(<A) / side opposite it

Simplified

Sin(<B) / 9 = Sin(A)/11

Sin(<B) / 9 = Sin(80) / 11             Multiply both sides by 9

9*Sin(B) / 9 = 9 * Sin(80) /11      The 9s Cancel

Now all you need to do is put it in your calculator. Do you need the steps?

Sin(B) = 9*sin(80) / 11

Sin(B) = 9 * 0.9848 /11

Sin(B)= 0.8058

B = Sin-1(0.8058)

B = 53.68

B = 54

The Aluminum Association reports that the average American uses 56.8 pounds of aluminum in a year. A random sample of 50 households is monitored for one year to determine aluminum usage. If the population standard deviation of annual usage is 12.3 pounds, what is the probability that the sample mean will be each of the following? a. More than 59 pounds b. More than 56 pounds c. Between 56 and 57 pounds d. Less than 53 pounds e. Less than 49 pounds *Round the values of z to 2 decimal places. Round your answer to 4 decimal places, the tolerance is +/-0.0001. **Round the values of z to 2 decimal places. Round your answer to 4 decimal places. a. * b. * c. * d. * e. **

Answers

Answer:

a. 0.1038 = 10.38% probability that the sample mean is more than 59 pounds.

b. 0.6772 = 67.72% probability that the sample mean is more than 56 pounds.

c. 0.2210 = 22.10% probability that the sample mean is between 56 and 57 pounds.

d. 0.0146 = 1.46% probability that the sample mean is less than 53 pounds.

e. 0% probability that the sample mean is less than 49 pounds.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

The Aluminum Association reports that the average American uses 56.8 pounds of aluminum in a year. The population standard deviation of annual usage is 12.3 pounds.

This means that [tex]\mu = 56.8, \sigma = 12.3[/tex]

Sample of 50:

This means that [tex]n = 50, s = \frac{12.3}{\sqrt{50}} = 1.74[/tex]

a. More than 59 pounds

This is 1 subtracted by the pvalue of Z when X = 59.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{59 - 56.8}{1.74}[/tex]

[tex]Z = 1.26[/tex]

[tex]Z = 1.26[/tex] has a pvalue of 0.8962

1 - 0.8962 = 0.1038

0.1038 = 10.38% probability that the sample mean is more than 59 pounds.

b. More than 56 pounds

This is 1 subtracted by the pvalue of Z when X = 56. So

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{56 - 56.8}{1.74}[/tex]

[tex]Z = -0.46[/tex]

[tex]Z = -0.46[/tex] has a pvalue of 0.3228

1 - 0.3228 = 0.6772

0.6772 = 67.72% probability that the sample mean is more than 56 pounds.

c. Between 56 and 57 pounds

This is the pvalue of Z when X = 57 subtracted by the pvalue of Z when X = 56.

X = 57

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{57 - 56.8}{1.74}[/tex]

[tex]Z = 0.11[/tex]

[tex]Z = 0.11[/tex] has a pvalue of 0.5438

X = 56

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{56 - 56.8}{1.74}[/tex]

[tex]Z = -0.46[/tex]

[tex]Z = -0.46[/tex] has a pvalue of 0.3228

0.5438 - 0.3228 = 0.2210

0.2210 = 22.10% probability that the sample mean is between 56 and 57 pounds.

d. Less than 53 pounds

This is the pvalue of Z when X = 53.

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{53 - 56.8}{1.74}[/tex]

[tex]Z = -2.18[/tex]

[tex]Z = -2.18[/tex] has a pvalue of 0.0146

0.0146 = 1.46% probability that the sample mean is less than 53 pounds.

e. Less than 49 pounds

This is the pvalue of Z when X = 49.

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{49 - 56.8}{1.74}[/tex]

[tex]Z = -4.48[/tex]

[tex]Z = -4.48[/tex] has a pvalue of 0

0% probability that the sample mean is less than 49 pounds.

Which number line represents the solution 6x<42 ?

Answers

Answer:

7

Step-by-step explanation:

+2($($;$)2:

hope it helps

Which fractions are less than 2/3? *

Answers

Answer:

I dont see any options....

But 1/4, 1/5, 1/6, 1/7, 2/7, etc

Step-by-step explanation:

Answer:

a lot but here are a few

Step-by-step explanation:

1/3 3/6 2/6 1/6 7/12 6/12 5/12 4/12 3/12 2/12 1/12 16/24 15/24 14/24 13/24 12/24 11/24 10/24 9/24 8/24 7/24 6/24 5/24 4/24 3/24 2/24 and 1/24

help and ill make u brainliest Calculate the surface area of the cylinder.


​Note: Figure not drawn to scale.

a. 500 cm^3
b. 301.7 cm^2
c. 140.4 cm^2
d. 351.9 cm^2

Answers

The answer is d
I explain in the picture below

Answer:

[tex] d. 351.9 {cm}^{2} (ans)[/tex]

Step-by-step explanation:

Given,

Radius of the cylinder = 4cm

Height of the cylinder = 10 cm

Therefore,

Surface area of the cylinder

[tex] = 2\pi r(r + h)[/tex]

[tex] = 2 \times 3.15 \times 4(4 + 10) {cm}^{2} [/tex]

[tex] = 351.86 {cm}^{2} [/tex]

[tex] = 351.9 {cm}^{2} (ans)[/tex]

Sarah took clothes to the cleaners three times last month.​ First, she brought 2 shirts and 1 of slacks and paid ​$9.97. Then she brought 5 ​shirts, 3 pairs of​ slacks, and 1 sports coat and paid ​$34.91. ​Finally, she brought 3 shirts and 2 sports coats and paid ​$22.45.

How much was she charged for each​ shirt, each pair of​ slacks, and each sports​ coat?

Answers

Answer:

Each Shirt costs: $1.49

Each Slack costs: $4.49

Each Sport coat costs: $7.99

10
Favorite Book Types
3%
Romance
Comedy
16%
Fantasy
14%
Science
Fiction
1896
Mystery
10%
Historical
Fiction
If 300 people were surveyed. How many people like comedy as their favorite book? *
(10 Points)
O 39
O 183
O 117
O 54

Answers

Answer:

117

Step-by-step explanation:

By adding the percentages given: 3+16+14+18+10

you get 61%

multiply 300 by .61 or 61%

you get 183

subtract 183 from 300

you are left with 117 which is the answer

Solve for x:
I need a answer with an explanation. Algebra 1

Answers

Answer: x = -1

Step-by-step explanation:

You need to convert to the same base

[tex]\frac{1}{16} = \frac{1}{2^{4} } = 2^{-4}[/tex]

So

[tex]2^{-4} = 2^{-2x-6}[/tex]

For these values to be equal, the exponents have to be equal

-4 = -2x - 6

2 = -2x

x = -1

find the solution(s)
y= x + 1
y= x² - 4x + 5

Answers

Answer:

1. Many possible solutions, two solutions would be: (-1,0) and (1,0)

2. x  =  −

2

±  i

Step-by-step explanation:

For the first equation, since its linear, there are many possible solutions!

two solutions would be: (-1,0) and (1,0)

For the second one, replace y with 0 and solve

x  =  −2 ±  i

Hope i helped, brainliest would be appreciated

Have a nice day!

  -Aadi x

three times the quotient of 3 and 5

Answers

Quotient means division, so three times of the quotient means 3 divided by 5 = 0.6
0.6 x 3 = 1.8.

Three times the quotient of 3 and 5 is equivalent to 1.8


Expressions and equations

The question asked us to convert the word problem to equation and solve.

The quotient of 3 and 5 is expressed as 3/5

Taking the product of the result and 3 will give;

Three times the quotient of 3 and 5 = 3 * 3/5

Three times the quotient of 3 and 5 = 9/5 = 1.8

Hence three times the quotient of 3 and 5 is equivalent to 1.8

Learn more on expressions here: https://brainly.com/question/723406

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Find the missing side of this right
triangle.
12
x
8

Answers

Answer:

The missing side is 14.4

x=14.4

Answer:

80

Step-by-step explanation:

Triangle PQR is shown. The triangle has a base of 4 in and a height a 2.5 in.



Which measurement is closest to the area of triangle PQR in square inches?

5 in2.

8 3/4in.2

6 1/2in.2

11in.2

Answers

Answer:

A

Step-by-step explanation:

Area = 1/2 * b * h

b = 4 in

h = 2.5 inches

Area = 1/2 * 4 * 2.5

Area = 2 * 2.5

Area = 5 in^2

Evaluate the expression x (3) – (3 + x)2 for x = 4.

Answers

Answer:

if x=4, the answer is -2.

Step-by-step explanation:

4x3-(3+4)2

12-7x2

12-14

= -2

i hope this helps :)

HELP ILL MAKE BRAINLIESTT

A seamstress charges a $5 fee per garment, plus $15 for each hour of work that the garment requires. The graph below shows the cost of having a single garment fixed by the seamstress, according to the number of hours of work that are needed.


image


Which linear function models the data?


A. c(t) = 5t

B. c(t) = 15t

C. c(t) = 5 + 15t

D. c(t) = 15 + 5t

Answers

Answer:

where is the graph though?

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