6.14 x 10 to the power of negative 9 in standard form

Answers

Answer 1
6.14 x 10^-9 = 0.00000000614
Answer 2
0.00000000614 is the standard form

Related Questions

Why would a bank charge a fee to noncustomers who use it’s ATM?

ANSWER: Charging a noncustomer helps pay for the cost of keeping the ATM running and supplied with cash. Customers of the bank already cover the ATM costs with regular fees or by allowing the bank to loan out their money.

Answers

So what exactly is going on here?

Answer:

Bank charges fee to non customers while using ATM. ATM's frequently charge fees to users who are not account holders from that same bank whose ATM you are operating.

This fee goes towards the compensation for the costs associated with owning and operating the machine.

Same bank persons pay many types of fee yearly to their banks, so same bank ATM do not charge any fee.

When using other banks, your bank has to pay some interchange amount to that bank, this is also the reason why banks charge fee, basically they recoup the money that they will have to pay to other banks for interchange.

Albert thought of a number, added 5, multiplied the result by 2, took away 6 and then divided by 2 to give an answer of 8

Answers

the answer is 6 ....you just have to do the steps backwards and it will result faster.
6+5=11
11*2=22
22-6=16
16/2=8
To find Albert's original number we have to work backwards. So everything albert did we have to do the reverse.

Starting with 8:

8*2 = 16 + 6 = 22/2 = 11- 5 = 6

Now, lets check it and start from the beginning with this new number (6), and follow everything Albert did and we will get 8. 

6+5= 11*2= 22-6 = 16/2 = 8


Prove: the sum of four consecutive integers is never divisible by 4 g

Answers

Yup, that's right. Your integers are n,n+1,n+2,n+3. You add them up to get 4n+6. If you don't want to talk about remainders or congreuences, then you can also say that 4n+64=n+64=n+1+12. And ...
Missing: g

[tex]n+n+1+n+2+n+3=4n+6[/tex]

4n is divisible by 4, but 6 is not, so the sum 4n+6 is not divisble by 4.

How many comparisons are required to merge these pairs of lists using algorithm 10?
a.1, 3, 5, 7, 9; 2, 4, 6, 8, 10
b.1, 2, 3, 4, 5; 6, 7, 8, 9, 10
c.1, 5, 6, 7, 8; 2, 3, 4, 9, 10?

Answers

b if im wrong sorry hope this helped tho :p

 If the equation y = 15x + 2 is changed to y = 15x - 4, how will the graph of the line change?


Answers

The y-intercept is changed from 2 to -4.

That means that the point that the graph crosses the y axis has been moved down by 6.

Since the slope of the line has not changed, this just means the graph of the line will be moved down by 6.

Hope this helps!
Your fortune is "When given a difficult choice, trust your gut. If you don't have one, then close your eyes and hope for the best."

The graph of the line change is, It will shift down 6 units.

The given function is,

y = 15x + 2

Now, We want to find how the graph of this function will change if the function is transformed to

y = 15x  -4

We rewrite this function in terms of the first one to get:

y = 15x + 2 + (-6)

Hence, the function with shift down 6 units.

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round to the nearest tenth 10.357

Answers

The answer is 10.4 because 5 is counted as higher so it's 10.4.
To round 10.357 to the nearest tenth, you would need to look at the hundredths place. Five is in the hundredths place so that tells you to round up to 10.4.

The use of the normal probability distribution as an approximation of the sampling distribution of p̄ is based on the condition that both np and n(1 – p) equal or exceed _____.
a. .05
b. 5
c. 15
d. 30

Answers

The use of the normal distribution as an approximation for the sampling distribution of[tex]\( \bar{p} \)[/tex] requires both [tex]\( np \)[/tex] and [tex]\( n(1 - p) \)[/tex] to be at least 5. So, the answer is (b) 5.

The normal approximation for the sampling distribution of [tex]\( \bar{p} \),[/tex] the sample proportion, relies on the conditions that both[tex]\( np \)[/tex] and [tex]\( n(1 - p) \)[/tex] are greater than or equal to 5. Here, [tex]\( n \)[/tex]  represents the sample size, and [tex]\( p \)[/tex] is the probability of success in a binary outcome. These conditions ensure that the distribution of[tex]\( \bar{p} \)[/tex] is approximately normal, allowing for the application of statistical techniques based on the normal distribution. When[tex]\( np \)[/tex]and [tex]\( n(1 - p) \)[/tex]are both at least 5, the central limit theorem asserts that the distribution of [tex]\( \bar{p} \)[/tex] is sufficiently close to normal, facilitating the use of standard normal tables and z-scores for making probability calculations and inferences about the population proportion. This approximation is pivotal in hypothesis testing and confidence interval construction for proportions in statistical analyses.

5m-1=4m+5 what is m.

Answers

m = 4/9

to get this we do

5m+4m = 5 - 1
9m = 4
m = 4/9

The correct answer is 6. In other words, the value of m that satisfies the solving linear equation is m = 6.

In the given equation, we are asked to find the value of m. The equation states that the quantity 5m minus 1 is equal to the quantity 4m plus 5.

To solve this equation, we can use algebraic methods. The goal is to isolate the variable m on one side of the equation.

First, we combine like terms. By subtracting 4m from both sides of the equation, we eliminate the term with m on the right side. This results in the equation m - 1 = 5.

Next, we isolate the variable m by adding 1 to both sides of the equation. This cancels out the -1 term on the left side and gives us m = 6.

Therefore, the correct answer is 6. In other words, the value of m that satisfies the solving linear equation is m = 6.

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Simplify and determine the coefficient of (-2/3x)(3y)(-2x). -4 1 4

Answers

The simplification is 4x2y.

The coefficient would be 4.
This question is a bit problematic because -2/3x can be understood as (-2/3) * (X) or (-2) / (3X)

But since the question is about coefficient, then it should pose no problem to solve it. Assuming the question mean (-2/3) * (X), then
(-2/3) * (X) * 3Y * (-2X) =
(-2/3 * 3*-2) * X^2 * Y =
(4) * X^2 * Y
That means the coefficient will be 4

2.8y+6+0.2y=5y-4 what is the solution to the linear equation

Answers

2.8y + 6 + 0.2y = 5y - 4

3y + 6 = 5y - 4

6 = 2y -4

10 = 2y

5 = y 
I hope this helps love! :)
2y is the answer. combine like terms = 3y+6-5Y-4 subtract y from each side, add 4 to each side then divide

Amira sells balloon animals. She uses the same number of balloons for each animal she makes. The table compares the number of balloon animals sold and the remaining number of balloons on a certain day.

Animals Balloons
15 200
24 164
33 128

How many balloons does Amira use for each balloon animal?

Answers

Answer:

4 balloons for each balloon animal.

Step-by-step explanation:

Amira sells balloon animals. The given table compares the number of balloon animals sold and the remaining number of balloons on a certain day.

Animals        Balloons

15                   200

24                   164

33                   128

When she sold 15 animals the leftover balloons were 200.

then she sold 24 animals the number of leftover balloons were 164.

The difference of the number of items = 24 - 15 = 9 more animals sold

The difference of the leftover balloons = 200 - 164 = 36 balloons used

Now the number of her sold animals was = 33

and the left over balloons = 128

The number of sale was increased by 24 to 33 = 33 - 24 = 9 more animals

and the leftover balloons now 164 to 128 = 164 - 128 = 36 used

Therefore, we can see each sale of 9 balloon animals she used 36 balloons.

so Amira used for each balloon animal = [tex]\frac{36}{9}[/tex]

                                                                = 4 balloons.

Amira used 4 balloons for each balloon animal.

Answer:

The most she can sell is 65

Step-by-step explanation:

"How many balloon animals at most can Amira sell?"

(3x-3)° [6{x-10)]° what is the value of x

Answers

Solve for x over the real numbers:18 ° (x - 1) (x - 10 ° x) = 0
Divide both sides by 18 °:(x - 1) (x - 10 ° x) = 0
Split into two equations:x - 1 = 0 or x - 10 ° x = 0
Add 1 to both sides:x = 1 or x - 10 ° x = 0
Collect in terms of x:x = 1 or (1 - 10 °) x = 0
Divide both sides by 1 - 10 °:Answer:  x = 1 or x = 0

The actual answer to this equation is x=19 not x=1 or n=0


Find the exact circumference of a circle with the given radius. 5 inches C = 2.5 in. 10 in. 25 in.

Answers

If the given radius is 5 inches, then the circumference, C is 2pi r, or 2pi(5 inches) = 10pi inches.  You MUST include pi in your calculation of C.

Answer: The exact circumference of the circle is [tex]10\pi[\tex] in.

Step-by-step explanation:

Since, the circumference of a circle is,

[tex]C=2\pi r[/tex]

Where, r is the radius of the circle,

Here, r = 5 inches,

Hence, the circumference of the circle is,

[tex]C = 2\pi(5) = 10\pi\text{ in}[/tex]

Thus, The exact circumference of the circle is [tex]10\pi[\tex] in.

A painter made the table below to show the amount of paint it takes to cover a certain amount of square feet. The amount of paint varies directly with the area of each wall.

Answers

Answer:

Option A.

Step-by-step explanation:

The table made by the painter shows the amount of paint required to cover a certain amount of area of the wall.

Amount of paint is directly proportional to the area covered

In other words Amount of paint (y) ∝ Area covered (x)

y ∝ x

As we know when proportionality sign is removed, a constant known as proportionality constant is multiplied with the variable.

So y = k(x) where k is the proportionality constant

Now from the table to cover the area of 64 square feet, 4 pints of paint is required.

Now from the formula

4 = 64x

x = [tex]\frac{4}{64}=\frac{1}{16}[/tex]

Now we have to calculate the amount of paint required to cover the area of 256 square feet.

y = [tex]\frac{1}{16}\times 256[/tex]

y = 16 pints

Therefore, 16 pints of the paint will be required to cover 256 square feet.

Option A is correct.

Answer:

Just Pick 16 Pints

Step-by-step explanation:

on a map 1 inch equals 18.4 miles. If two cities are 4.5 inches apart on the map, how far are they actually apart?

Answers

1 inch = 18.4 miles 
4.5 * 18.4 = 82.8 miles

Solve for x. 9x = 3x -36

Answers

X=-6
9x-3x=3x-36-3x
6x=-36
6x/6= -36/6
x=-6
hope this helps!
9x = 3x - 36
9x - 3x = 3x - 3x - 36
6x = -36
x = -36 / 6 = -6 answer

What is 65 3/5 - 24 1/3

Answers

41 4/15 is the answer

A text message plan costs $3 per month pulse $0.32 per text. find the monthly cost for x text messages

Answers

What does x stand for?

Prakrit bought a pack of paper for $5.69 and printer toner for $9.76. He paid with a $20 bill. What was his change?

Answers

$4.55 my dude. You add them together and subtract the sum from 20
5.69 + 9.76 = 15.45

20 - 15.45 = 4.55

$4.55

If A game is played using one die. If the die is rolled and shows 2 the player wins 40. If the die shows any number other than 2 the player wins nothing

Answers

Planes Q and R are parallel. Lines a and b are shown on planes Q and R, respectively.

Which statement is true about lines a and b?

They are parallel lines.They are perpendicular lines.They are skew lines.They will intersect.

An orchard has 864 orange trees. The number of rows exceeds the number of trees per row by 5 . How many trees are there in each row?

Answers

[tex]\bf \cfrac{rows}{\textit{trees in a row}}\qquad 5:1\qquad \cfrac{5}{1}\qquad \cfrac{5\cdot \frac{864}{5+1}}{1\cdot \frac{864}{5+1}}\implies \cfrac{5\cdot 144}{1\cdot 144}\implies \cfrac{720}{144}[/tex]

Final answer:

Using a quadratic equation, we found that there are 24 orange trees in each row of the orchard.

Explanation:

To determine how many orange trees are there in each row, we will set up an equation based on the information provided. Let's let x represent the number of trees per row. According to the problem, the number of rows is x + 5. Since the total number of trees in the orchard is 864, we can create the following equation:

x * (x + 5) = 864

To solve this quadratic equation, we need to find the value of x that satisfies the equation:

First, expand the left side of the equation: [tex]x^{2}[/tex] + 5x.

Write the equation in standard form: [tex]x^{2}[/tex] + 5x - 864 = 0.

Factor the quadratic equation: (x + 36)(x - 24) = 0.

Solve for x: x = -36 or x = 24.

Since we cannot have a negative number of trees per row, we disregard x = -36.

Therefore, there are 24 trees in each row.

write the following equation in standard form. x^5+2x^3+6x+1/5

Answers

5x^5 + 0x^4 + 10x^3 + 0x^2 + 30x + 1Hope it helped!

The standard form is x⁵ + 2x³ + 6x + [tex]\frac{1}{5}[/tex].

To write the given equation x⁵ + 2x³ + 6x + [tex]\frac{1}{5} \\[/tex] in standard form, follow these steps:

Identify and list all terms in the polynomial: x⁵, 2x³, 6x, and [tex]\frac{1}{5}[/tex].Arrange the terms in descending order based on the exponent of x:x⁵ + 2x³ + 6x + [tex]\frac{1}{5}[/tex]Ensure all coefficients and constants are in standard form:The polynomial in standard form is: x⁵ + 2x³ + 6x + [tex]\frac{1}{5}[/tex].

1/4 of 12 bottles of water

Answers

1/4(12)= 3

The answer is 3 bottles of water.

Hope this helps!
the answer will be 3 

12 dividd by 4 is 3

drag and drop the correct numbers into the boxes to complete the table. amounts may be rounded to the nearest cent

Answers

13.84 in the first block and 42.67 in the last block

what is the absolute value of the complex number -4-sr2i

Answers

The complex number seems to be -4 - (√2) i

The absolute value of a complex number a + bi is defined as

|a + bi| = √ [(a^2) + (b^2)].


So, the absolute value of - 4 - (√2)i is

| -4 - (√2)i | = √ [ (4)^2 + (√2)^2 ] = √ [ 16 + 2 ] = √18 = √(9*2) = √9 * √2 = 3√2

Answer: 3√2


Question Help Find the dimensions of the open rectangular box of maximum volume that can be made from a sheet of cardboard 45 in. by 24 in. by cutting congruent squares from the corners and folding up the sides. Then find the volume.

Answers

You need to cut 4 square corner pieces.
Each corner square has side x.
The length of the box will be 45 - 2x, and the width will be 24 - 2x. The height is x.
The volume of the box is

(45 - 2x)(24 - 2x)(x) =

= (1080 - 90x - 48x + 4x^2)x

= 1080x - 138x^2 + 4x^3

V = 4x^3 - 138x^2 + 1080x

To find a maximum volume, we differentiate the volume equation above and set equal to zero. Then we solve for x.

dV/dx = 12x^2 - 276x + 1080

12x^2 - 276x + 1080 = 0

x^2 - 23x + 90 = 0

(x - 18)(x - 5) = 0

x = 18 or x = 5

x cannot be 18 because 24 - 2(18) is negative and the width of the box cannot be negative.

x = 5

The length of the box is:
45 - 2(5) = 45 - 10 = 35

The width of the box is:
24 - 2(5) = 24 - 10 = 14

The height is :
5

The volume is
V = LWH = 35 in. * 14 in. * 5 in. = 2450 in.^3



Answer:

The dimensions are [tex]35\times 14\times 5[/tex] and the volume is 2450 inches³.

Step-by-step explanation:

Given : The open rectangular box of maximum volume that can be made from a sheet of cardboard 45 in. by 24 in. by cutting congruent squares from the corners and folding up the sides.

To find : The dimensions and the volume of the open rectangular box ?

Solution :

Let the height be 'x'.

The length of the box is '45-2x'.

The breadth of the box is '24-2x'.

The volume of the box is [tex]V=L\times B\times H[/tex]

[tex]V=(45-2x)\times (24-2x)\times x[/tex]

[tex]V(x)=4x^3-138x^2+108x[/tex]

Derivate w.r.t x,

[tex]V'(x)=4(3x^2)-138(2x)+108[/tex]

[tex]V'(x)=12x^2-276x+108[/tex]

[tex]V'(x)=12(x^2-23x+90)[/tex]

The critical point when V'(x)=0

[tex]12(x^2-23x+90)=0[/tex]

[tex]x^2-23x+90=0[/tex]

[tex](x-18)(x-5)=0[/tex]

[tex]x=18,5[/tex]

18 is not possible we reject.

So, the height is 5 inches.

Derivate again w.r.t x,

[tex]V''(x)=24x-276[/tex]

[tex]V''(5)=24(5)-276[/tex]

[tex]V''(5)=120-276[/tex]

[tex]V''(5)=-156<0[/tex]

i.e. V(x) is maximum at x=5.

The dimensions are

Height = 5 inches

Length = 45-2(5)=35 inches

Breadth = 24-2(5)=14 inches.

The maximum volume is

[tex]V=35\times 14\times 5[/tex]

[tex]V=2450[/tex]

So, The dimensions are [tex]35\times 14\times 5[/tex] and the volume is 2450 inches³.

A lender estimates the closing costs on a home loan of $50,000 as listed below.
Closing Cost

Charge
Loan origination

$200
Title insurance

$530
Attorney’s fees

$600
Appraisal

$265
Inspection

$575
Recording fees

$130
Escrow

$800

If the lender's good faith estimates are accurate, are they a reasonable amount for closing costs? Why or why not?
a.

Yes, because the lender esitmated 3.08% of the home loan in closing costs which falls between 3 - 5%.
b.

Yes, because the lender estimated 4.6% of the home loan in closing costs which does not fall between 3 - 5%.
c.

No, because the lender estimated 6.2% of the home loan in closing costs which does not fall between 3 - 5%.
d.

No, because the lender estimated 17.7% of the home loan in closing costs which does fall between

Answers

Answer:c.

No, because the lender estimated 6.2% of the home loan in closing costs which does not fall between 3 - 5%

Step-by-step explanation:

Summation of the cost of loan =200+530+600+265+575+130+800

=3100

Now percentage of the estimate=

(3100/50000)*100%

=6.2%

C- The lender should not consider them as reasonable amount of closing costs because the lender estimated 6.2% of the home loan in closing costs which does not fall between 3-5%.

The lender cannot be accepting these costs as this will lead to the lender incurring losses over a longer period after doing all the necessary calculations.

The lender has disbursed a home loan of $50000 on which he has estimated certain closing costs and are considered to be true and accurate. The costs are loan origination, title insurance, attorney's fees, appraisal, inspection, recording fees, escrow, etc.

The amounts will add up as a summation of all the fees and charges  as titles above are mentioned which will end up totaling to $3100

[tex]200+530+600+265+575+130+800=3100[/tex]

The calculation of of costs in to the percentage of total home loan is calculated as dividing the cost with total loan amount which will be totaled as 6.2%.

[tex]\frac{3100}{50000} *100= 6.2[/tex]

The costing of this home loan is way above the ideal range of 3-5% and is not worth disbursing and may be called back.

Hence, the correct option is C that the amounts of $3100 are not a reasonable amount of closing costs because the lender estimated 6.2% of the home loan in closing costs which does not fall between the range of 3-5%.

To know more about closing costs, please refer the link below.

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The function f(x) = x2 + 5x – 6 is shifted 4 units to the left to create g(x). What is g(x)?


Answers

Please, use "^" to denote exponentiation:  x^2, not x2.

f(x) = x^2 + 5x – 6 becomes g(x) if we replace each x in f(x) with (x+4):

g(x) = (x+4)^2 + 5(x+4) - 6

This can be expanded:  g(x) = x^2 + 8x + 16 + 5x + 20 - 6, or
                                       g(x) = x^2 + 13x + 30


Answer:

g(x)=(x+4)^2+5(x+4)-6

Does anyone know a rule that work for all of these

Answers

Divide each term in the y column by 2 to go from this list {8, 2, 0, 2, 8} to this list {4, 1, 0, 1, 4}

This list {4, 1, 0, 1, 4} is a bunch of perfect squares so it suggests that y = x^2

However we must double the values to get back to the original list. So the rule is y = 2*x^2

how many times greater is the value of the digit 2 in the 23.876 than the value of the digit 2 in 3.254?

Answers

The decimal is 2 to the right so it would be 100 times greater :)
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