0.9×10-1 in Standard notation

0.910-1 In Standard Notation

Answers

Answer 1
[tex]0.9*10^{-1}= \cfrac{0.9}{10}=0.09 [/tex]
Answer 2
0.9×1/10
0.9/10 =0.09
when a number has a 0 power then u have to flip over the number and change the power to positive

Related Questions

P(A∩B)=1150,P(A|B)=1120,P(B)=?

Answers

Final answer:

For the given probabilities P(A∩B) = 1150 and P(A|B) = 1120, using Bayes' theorem for conditional probability, the probability of event B, P(B), is found to be approximately 1.027.

Explanation:

The topic of this question is probability, specifically concurrent events in probability theory. Here, we use Bayes' theorem for conditional probability which states that P(A|B) = P(A ∩ B) / P(B).

Given that P(A∩B) = 1150 and P(A|B) = 1120, we can plug these values into the formula to find P(B). Hence, P(B) = P(A ∩ B) / P(A|B), substituting the given numbers, we get P(B) = 1150 / 1120 = 1.027 approximately.

So P(B), the probability of event B occurring, we would expect to be approximately 1.027 (or 102.7% assuming the probabilities were in decimal form to start with).

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Alright, let's solve the problem with these given values.

The formula for calculating the probability of B in the context of A and B both happening is:

`P(A and B) / P(A|B)`.

In this case, the probability of A and B occurring is 1150, while the likelihood of A given that B has occurred is 1120. We can substitute these values into the formula:

So, P(B) = P(A and B) / P(A|B)

Substitute the given into the formula:

P(B) = 1150 / 1120 = 1.0267857142857142

Therefore, the Probability of event B (P(B)) is approximately 1.027 when rounded to three decimal places.

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Ten children are to be divided into an a team and a b team of 5 each. the a team will play in one league and the b team in another. how many different divisions are possible?

Answers

The number of combinations for picking a number of items from a given selection is found using this formula: nCr = n!/(n - r)!r! where:
n = size of the selection
r = number of items being picked
In the case of the question, there is a selection of 10 people of which 5 will be chosen to be in team a so:
n = 10
r = 5
The number of combinations is 10C5 = 252
This means there are 252 possible different a teams that could be made from the 10 people.
Team b will be another of the 252 combinations.
Note: scientific calculators, e.g. Casio ones, have a button for the nCr formula.

In triangle ABC, m∠A=55 triangle ABC, m∠A=55°, c=11c=11, and m∠B=19m∠B=19°. Find the perimeter of the triangle

Answers

First, we illustrate the problem as shown in the picture. By convention, we denote capital letters as angles and the small letters as opposite sides to those respective angles. We can find the perimeter of the triangle by adding all it sides. So, the next step is to find sides a and b.

Since a triangle has a total of 180° in interior angles, then angle C can be solved by

180° = A + B + C
C = 180° - 55° - 19°
C = 106°

Next, we use the Law of Sines. This law can be used in any type of triangle. This law states that there is a fixed ratio of side to sine of the opposite angle. In equation, that would be written as

a/sin A = b/sin B = c/sin C

Since, we know already side c and angle C, the fixed ratio is then,

11/sin 106° = 11.443

The last step is to apply ratio and proportion:

11.433 = a/sin 55°
a = 9.37 units

11.433 = b/sin 19°
b = 3.73 units

Thus, the perimeter of the triangle is 
P = a + b + c
P = 9.37 +3.73 +11
P = 24.1 units

the question is.......... ASAP

Answers

C, proof from CB being 5x4 to get 20 from FE, use the same method on AC to get 3x4 to get 12 :)

Please help!!! Geometry.

Answers

check the picture below.

make sure your calculator is in Degree mode.

The sine function is an odd function

Answers

Sure the sin function is an odd function because sin (-Ф) = - sin (Ф)
Example: sin (- 30°) = - sin (30°) = -1/2

Answer:

The given statement is true.

Step-by-step explanation:

We have been given a statement and we are supposed to determine whether our given statement is even or odd.

Statement: The sine function is an odd function.

We know that sine is symmetric about origin and [tex]\text{sin}(-x)=-\text{sin}(x)[/tex]. Therefore, sine is an odd function and our given statement is true.

Can anyone help!? Points are high!

Answers

total was 49.10

mileage would be 49.10 = 2.10x +5.00

 total miles =

49.10 = 2.10 +5.00

44.10 = 2.10x

x = 44.10/2.10 = 21 miles

(05.01)
Which statement best explains if the graph correctly represents the proportional relationship y = −2x?
No, the points shown would not be part of y = −2x
No, proportions cannot be represented on a graph
Yes, all proportions can be shown on a graph of this line
Yes, the points shown on the line would be part of y = −2x

Answers

The slope is (y2-y1)/(x2-x1)=(2-4)/(-1--2)=-2/1=-2

So yes, the points shown on the line would be a part of y=-2x

The best statement which is true for the graph y=-2x is that Yes, the points shown on the line would be a part of y=-2x.

What is line?

A line is collection of various points on a surface which together joins two points on a surface. Equation of a line looks like y=a +b x where b is the slope of line.

How to make graph?

We have been given an equation y=-2x and we have to find the graph of equation and for that we need to find points and for this we have to put the values of x which gives the values of y.

At x=0 ,y=0

At x=1 ,y=-2*1=-2

At x=2  ,y=-2*2=-4

At x=-1 ,y=-2*-1=2

Coordinates will be (0,0),(1,-2),(2,-4),(-1,2)

If we find these points on this line then will surely be able to find these points.

Hence the statement which is true is that Yes, the points shown on the line would be part of y = −2x.

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(08.02)The coordinate grid shows the plot of four equations.
Which set of equations has (−1, 5) as its solution?
A and B
B and D
A and C
B and C

Answers

The answer is A and B since both lines pass through coordinate (-1,5).

Does Verona have enough information to determine the areas of both triangles?

Answers

answer is third choice

No. Each triangle  has base of 6 meters but there is not enough information to determine the heights of the triangles 

Which of the relationship below are function

Answers

B and D are both functions because each x value has only one y value.

For A, for example, the x value of 1 has 2 y values. For C, the x value of 7 has 2 y values as well, 10 and 3.

A functions B and D are valid functions because they meet the criteria of each x value having only one corresponding y value.

Function B: You mentioned that B is a function because each x value has only one corresponding y value. In mathematical terms, a function is defined as a relation between a set of inputs (x values) and a set of outputs (y values), where each input (x) maps to exactly one output (y). So, if B satisfies this definition, it is indeed a function.

Function D: Similar to B, if D also adheres to the definition of a function, where each x value corresponds to only one y value, then it is a function as well.

Function A: You mentioned that for A, the x value of 1 has 2 y values. In mathematical terms, a function cannot have one input (x) mapping to multiple outputs (y). If this is the case for A, it does not meet the definition of a function.

Function C: You mentioned that for C, the x value of 7 has 2 y values, 10 and 3. Again, if one input (x) is associated with multiple outputs (y) in C, it does not qualify as a function.

In summary, functions B and D are valid functions because they meet the criteria of each x value having only one corresponding y value. Functions A and C do not meet this criterion and are not functions in the mathematical sense.

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Scientific notation definition math is fun

Answers

What is the question? i dont understand. 

Answer:

Scientific notation is a method for expressing a given quantity as a number having significant digits necessary for a specified degree of accuracy, multiplied by 10 to the appropriate power, as 1385.62 written as [tex]1.3862*10^{4}[/tex].

Step-by-step explanation:

Assume that you randomly select 6 cards from a deck of 52. what is the probability that all of the cards selected are hearts?

Answers

There are 13 hearts in a 52 deck.

You can think about it like this:

P = (13/52)*(12/51)*(11/50)*(10/49)*(9/48)*(8/47) = 0.00008428903476

Look at the triangle. What is the value of sin x°?

Answers

sin(x) = 12/13
x = 67.38 degrees
sin = Opp/Adj
so
sin(x) = 12/5

hope it helps

A function f satisfies g(7) = 13 and g(1) = 6. a function f satisfies h(13) = 2 and h(6) = 7. what is the value of g(h(6))

Answers

The value of g(h(6)) is 13 because the value of h(6) = 7 so the value of g(7) is 13.

The value of m in the following system of equations is:
m-2n=8
n=m-2
A) m= -4
B) m= -6
C) m= 2
D) None of the choices are correct

Answers

n=m-2

m-2n=8, using n from above in this equation yields:

m-2(m-2)=8  perform indicated multiplication

m-2m+4=8 combine like terms on left side

-m+4=8 subtract 4 from both sides

-m=4  divide both sides by -1

m=-4

So the correct answer is A) m=-4

The correct option is A. [tex]m=-4[/tex]. By substituting the second equation into the first one in the system of equations, the value of m is -4.

The value of m in the system of equations can be found by substitution or elimination. Starting with the given equations:

[tex]m - 2n = 8 (1)[/tex]

[tex]n = m - 2 (2)[/tex]

Using the second equation (2) to substitute for n in the first equation (1):

[tex]m - 2(m - 2) = 8[/tex]

[tex]m - 2m + 4 = 8[/tex]

[tex]-m + 4 = 8[/tex]

[tex]-m = 8 - 4[/tex]

[tex]-m = 4[/tex]

[tex]m = -4[/tex]

This means that the value of m is -4, which corresponds to option A.

A cube has side lengths of 8 inches. What is the volume of the cube

Answers

Answer:
V=a³
V=512 in³
a=Edge
The answer is A equal 8

You make both rocking chairs and bar stools. You charge $100 for every rocking chair and $40 for every bar stool. Which expression represents your income if you sell r rocking chairs and b bar stools?

Answers

100r+40b=income
You have to multiply $100 per rocking chair and add it to $40 per bar stool to get our income.

Answer:

The answer is [tex]Income=100*r+40*b[/tex]

Step-by-step explanation:

In this case we have to construct an expression that describe the income of selling the rocking chairs ($100 each - r) and the bar stool ($40 each - b), so the total income will depend on the addition of this two variables multiplied by its individual price, this is:

[tex]Income=100*r+40*b[/tex]

The answer is [tex]Income=100*r+40*b[/tex]

ILL GIVE BRAINLIEST !!!1 A student writes an incorrect step while checking if the sum of the measures of the two remote interior angles of triangle ABC below is equal to the measure of the exterior angle.


Step 1: m∠x + m∠y + m∠z = 180 degrees (sum of angles of a triangle)
Step 2: m∠w − m∠z = 90 degrees (corresponding angles)
Step 3: Therefore, m∠x + m∠y + m∠z = m∠w + m∠z
Step 4: So, m∠x + m∠y = m∠w

In which step did the student first make a mistake and how can it be corrected?

Step 1; it should be m∠x + m∠y + m∠z = 180 degrees (sum of corresponding angles)

Step 2; it should be m∠w + m∠z = 180 degrees (supplementary angles)

Step 1; it should be m∠x + m∠y + m∠z = 90 degrees (corresponding angles)

Step 2; it should be m∠w + m∠z = 90 degrees (alternate exterior angle)

Answers

Correct answer is step 2.
step 2 : should be < w + < z = 180

If there are 190 contestants in a competition, how many ways can the first, second, and their place winner be chosen

Answers

190P2 = 190x189 = 35,910

What are the two equations that need to be solved to find the solutions for the absolute value equation |2x-3|=x+6?


2x – 3 = x + 6 and 2x – 3 = –x – 6

2x – 3 = x + 6 and 2x + 3 = –x + 6

2x – 3 = x + 6 and 2x – 3 = x – 6

2x – 3 = x + 6 and 2x + 3 = x + 6

Answers

The answer is the fourth

The equations to solve for [tex]\( |2x-3|=x+6 \)[/tex] are [tex]\( 2x - 3 = x + 6 \)[/tex] and [tex]\( 2x - 3 = -(x + 6) \).[/tex]

Let's solve the absolute value equation |2x-3|=x+6 step by step.

We'll start by writing down the equation:

|2x - 3| = x + 6

Since the absolute value expression |2x - 3| can be either positive or negative, we'll split the equation into two cases:

  Case 1: 2x - 3 = x + 6

  Case 2: 2x - 3 = -(x + 6)

Let's solve Case 1:

  2x - 3 = x + 6

  Subtract x from both sides:

  2x - x - 3 = 6

  Simplify:

  x - 3 = 6

  Add 3 to both sides:

  x = 9

Now, let's solve Case 2:

  2x - 3 = -(x + 6)

  Distribute the negative sign:

  2x - 3 = -x - 6

  Add x to both sides:

  2x + x - 3 = -6

  Simplify:

  3x - 3 = -6

  Add 3 to both sides:

  3x = -3  

  Divide both sides by 3:

  x = -1

So, the solutions to the equation |2x-3|=x+6 are x = 9 and x = -1.

When flipping a coin three times, what is the probability of landing on heads all three times?

Answers

a coin has 2 sides....heads and tails....so the probability of it landing on heads is 1/2....the same as the probability of it landing on tails is 1/2.

Therefore, the probability of it landing on heads on 1 coin flip is 1/2.

so the probability of it landing on heads on 3 coin flips is :
1/2 * 1/2 * 1/2 = 1 / 8 <==

What is the slope of the line whose equation is 3x-5y=10?

Answers

get into y=mx+b form
m=slope


3x-5y=10
minus 3x from both sides
-5y=-3x+10
divide both sides by -5
y=-3/-5x+10/-5
y=3/5x-2
the slope is 3/5

A person purchased a leather jacket that was marked down by 40%. if the sale price of the jacket was $101.79, what was its original price?

Answers

The original price was $142.50. What I did was that I added 40% with $101.79 which was the sales price. With the 40% the person saved $40.71.

Hope this helps : )*****

The population of snakes at a wildlife park over the course of six months is modeled by the equation y = x5 − 5x4 + 2x3 − 10x2 + 100x + 5, where x is the number of months. If the park officials count 505 snakes, how many months have passed since the initial count was taken?

Answers

You are already given an equation where y stands for the population of snakes and x is for the number of months. Since you are given a population of y = 505, you substitute this to equation and find x. A technique is to use the 'shift-solve' feature of a scientific calculator to directly determine the value of x:

505 = x5 − 5x4 + 2x3 − 10x2 + 100x + 5
x = 5 months

This must be true because it is within the specified time bracket of 6 months.

What is the quotient and remainder when x2 + x − 12 is divided by x − 2?

Answers

The answer to this item can be determined through making use of the concept of Remainder Theorem. With that, we are going to substitute the value of the factor to the given original equation. Whatever is the result of the operation through the use of the value of the factor is the remainder.

Factor: x - 2;  

We equate this factor to zero to be able to find the value of x. That is,

x - 2= 0;

 x = 2

Substitute 2 to the x's of the quadratic equation.
     R = (2)² + 2 - 12 = -6

ANSWER: Remainder = -6

The population of a local species of beetle can be found using an infinite geometric series a1=960 and the common ratio is .25 write the sum in sigma notation and calculate the sum of possible that will be the upper limit of this population

Sigma 960 (1/4)^i-1 ; the sum is 1280
Signa 960 (1/4)^-1 the sun is divergent
Sigma 960 (1/4)^i sum is 1280
Sigma (1/4)^i sum is divergent

I=1 for them all

Answers

Sigma 960(1/4)^(i-1)

Since r^2<1, the sum is convergent and has a value of

960/(1-1/4)

960/(3/4)

4(960)/3

1280
Answer:

         The answer is:

Sigma 960 (1/4)^i-1 ;    the sum is 1280

Step-by-step explanation:

We are given the first term of the geometric sequence as:

[tex]a_1=960[/tex]

Also, the common ratio of the terms in geometric sequence is: [tex]\dfrac{1}{4}[/tex]

We know that if the series is a geometric series than the sum of the terms is given by:

[tex]a+ar+ar^2+.....\\\\=a(1+r+r^2+....)\\\\=\sum ar^{n-1}[/tex]

where a is the first term of the series and r is the common difference.

Here a=960

and r=1/4

Hence,

The sum of the series is:

[tex]=\sum 960(\dfrac{1}{4})^{i-1}[/tex]

Now we know that the sum of the infinite geometric series is given by:

[tex]S=\dfrac{a}{1-r}[/tex]

where S is the sum of the series.

Hence, here the sum of the series is calculated by:

[tex]S=\dfrac{960}{1-\dfrac{1}{4}}\\\\\\S=\dfrac{960}{\dfrac{3}{4}}\\\\\\S=\dfrac{960\times 4}{3}\\\\\\S=1280[/tex]

Hence, the sum is:   1280

Identify the factors of x2 − 4x − 12. (1 point)

(x + 4)(x − 3)

(x − 4)(x + 3)

(x − 2)(x + 6)

(x + 2)(x − 6)

Answers

x² - 4x - 12 = 
x² + 2x - 6x - 12 =
x(x + 2) - 6(x + 2) = 
(x + 2)(x - 6)

Answer:

D. [tex](x-6)(x+2)[/tex]

Step-by-step explanation:

We have been given a polynomial [tex]x^2-4x-12[/tex]. We are asked to find the factors of our given polynomial.

We will use splitting the middle term format of factoring quadratic polynomial.

We need two numbers, whose product is [tex]-12[/tex] and whose sum is [tex]-4[/tex]. Such two numbers are  [tex]-6\text{ and }2[/tex].

[tex]x^2-6x+2x-12[/tex]

[tex](x^2-6x)+(2x-12)[/tex]

Factor out GCF of each group:

[tex]x(x-6)+2(x-6)[/tex]

[tex](x-6)(x+2)[/tex]

Therefore, factors of our given expression are [tex](x-6)(x+2)[/tex] and option D is the correct choice.

Help please. I need the answer fast.

Answers

When you multiply exponents with the same base, you add the exponents.
3+-5+y=-2
-2+y=-2
y=0

Final answer: y=0

What is 180 as product of prime factors and 180 as a Square root?

Answers

180 = 2*90
90 = 2*45
45 = 3*15
15 = 3*5
The prime factors are 2, 2, 3, 3, 5

Alternatively, you can draw up a factor tree like what you see in the attached image. The prime numbers are in the red boxes.

Either way, the prime factorization is 
180 = 2*2*3*3*5
which can be written as
180 = 2^2*3^2*5

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

As for your second question, are you looking to simplify the square root of 180? If so, then follow these steps

sqrt(180) = sqrt(2*2*3*3*5)
sqrt(180) = sqrt(2^2*3^2*5)
sqrt(180) = sqrt((2*3)^2*5)
sqrt(180) = sqrt((2*3)^2)*sqrt(5)
sqrt(180) = 2*3*sqrt(5)
sqrt(180) = 6*sqrt(5)

sqrt stands for "square root"


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