Answer:
Rewrite the decimal number as a fraction with 1 in the denominator
4.399=4.3991
Multiply to remove 3 decimal places. Here, you multiply top and bottom by 103 = 1000Rewrite the decimal number as a fraction with 1 in the denominator
4.399=4.3991
Multiply to remove 3 decimal places. Here, you multiply top and bottom by 103 = 10004.3991×10001000=43991000
Simplify the improper fraction,
=43991000
In conclusion,
4.399=43991000
We have that [tex]\frac{4399}{1000}[/tex] is the reduced improper fraction of [tex]4.399[/tex]
[tex]\frac{4399}{1000}[/tex]
From the Question we are told that
Write 4.399 as a ratio of two integers
Generally to reduce 4.399 to an improper fraction we have that
[tex]\frac{4399}{1000}=4.399[/tex]
Improper action representation of the given integer
We proceed to reducing the fraction .We see that the are no means to reduce the fraction
Therefore
[tex]\frac{4399}{1000}[/tex] is the reduced improper fraction of [tex]4.399[/tex]
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Use synthetic division to find f(2)
f(x) = 2x3 –3x²+7X-12
Step by Step Solution:
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STEP
1
:
Equation at the end of step 1
STEP
2
:
x3 + 3x2 - 7x - 12
Simplify ——————————————————
x + 4
Checking for a perfect cube :
2.1 x3 + 3x2 - 7x - 12 is not a perfect cube
Trying to factor by pulling out :
2.2 Factoring: x3 + 3x2 - 7x - 12
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: -7x - 12
Group 2: x3 + 3x2
Pull out from each group separately :
Group 1: (7x + 12) • (-1)
Group 2: (x + 3) • (x2)
1 result(s) found
x
2
−x−3
a bag contains 12 blue marbles and 8 blue what is the ratio of blue to red
Answer:12:8 or 12 to 8 or u could do it in fraction form
Find the equations of any horizontal tangents to the curve
y = x^3 - 3x ^2 - 9x + 2
Answers:
y = -25
y = 7
Step-by-step explanation:
Find the derivative of the function.
[tex]\frac{dy}{dx} y = 3x^2-6x-9[/tex]
The zeros of the derivative are the local extrema (Maximum & Minimum)
[tex]0 = 3x^2-6x-9[/tex]
Take out the greatest common factor, 3, to get this equation:
[tex]0 = 3(x^2-2x-3)[/tex]
Factor out the brackets.
[tex]0 = 3(x - 3) ( x + 1 )[/tex]
You are left with two possible values for x:
x = 3
x = -1
By substituting each value into the original function [tex]y = x^3 - 3x^2 - 9x + 2[/tex], you get the equation of any horizontal tangents to the curve.
When x = 3:
[tex]y = (3)^3 - 3(3)^2 - 9(3) + 2 = -25[/tex] Meaning y = -25
When x = -1:
[tex]y = (-1)^3 - 3(-1)^2 - 9(-1) + 2 = 7[/tex] Meaning y = 7
Joanna, Dana, and Tracy shared some trail mix. Joanna ate 0.125 pound of trail mix, Dana ate 0.1 pound, and Tracy ate 0.12 pound of trail mix. Which lists the friends in order from least to greatest amount of trail mix eaten?
Answer:
Dana, Tracy, Joanna
Step-by-step explanation:
Dana ate 0.1 pound wich is 0.1000. Tracy ate 0.12 which is 0.12000. Joanna ate 0.125 which is 0.12500
Hope this helped :)
The graph below shows the amount of money Janet earned at her new job.
Janet's Earnings
у
80
70
60
50
Money Earned ($)
40
30
20
10
0
2 4 6 8 10 12 14 16
Hours Worked
How much does Janet earn per hour?
Answer:
b
Step-by-step explanation:
The amount of money Janet earns per hour is given by the slope of the line m = $ 7.50
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
Let the first point be P ( 4 , 30 )
Let the second point be Q ( 8 , 60 )
Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = amount of money Janet earns per hour
So , slope m = ( 60 - 30 ) / ( 8 - 4 )
On simplifying , we get
The amount of money Janet earns per hour = 30/4
The amount of money Janet earns per hour = $ 7.50
Hence , the amount of money Janet earns = slope = $ 7.50
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My question is
4(2 - W) + w = 20
Answer:
- 4
Step-by-step explanation:
Step 1:
4 ( 2 - w ) + w = 20 Equation
Step 2:
8 - 4w + w = 20 Multiply
Step 3:
8 - 3w = 20 Combine Like Terms
Step 4:
- 3w = 12 Subtract 8 on both sides
Answer:
w = - 4
Hope This Helps :)
Answer:
w = -4
Step-by-step explanation:
4(2 - W) + w = 20
Distribute:
8 - 4w + w = 20
Subtract 8 from both sides:
-4w + w = 12
Simplify:
-3w = 12
Divide:
w = -4
Double check your work by substitution:
4(2 - W) + w = 20
4(2 - (-4)) + (-4) = 20
4(6) + (-4) = 20
24 + (-4)= 20
20 = 20
Since we know that 20 does equal 20, we can conclude that the final answer is:
w = -4
Rewrite the expression by factoring out (w-7).
3w2(w– 7) - 5(w-7)
helppppppppppppppppppppppppppppppppppppppppppppppppppppp
Answer:
8.40049 × 10^7
Step-by-step explanation:
The administration at a high school wants to conduct a survey of student opinion. Administrators want to begin with a simple random sample of 100 students. Which of the following survey methods will produce a simple random sample? (4 points)
A-Survey the first 100 students to arrive at school in the morning
B-Survey every 10th student entering the school gym until 100 students are surveyed
C-Use random numbers to choose 25 each of freshmen, sophomores, juniors, and seniors Number the gym seats. Use a table of random numbers to choose seats and interview the students until 100 have been interviewed.
D- Number the students on the school roster.
E-Use a table of random numbers to choose 100 students from this roster for the survey.
Answer:
C
Step-by-step explanation:
Each year will have 25 student
A line has a slope of 9 what is the slope of a line it is parallel to this line? *
9
-9
1/9
-1/9
Answer: 9
Step-by-step explanation: Parallel lines have the same slope.
So a line parallel to this would also have 9 as its slope.
The equation of a lone is 3/5x + 1/3y = 1/15
Answer:
Step-by-step explanation:
x intercept is where the line is crossing the x axis or where y=0
y intercept is where the line crosses the y axis or where x=0
to find them, set other ting to zero
3/5x+1/3y=1/15
xintercept, set y=0
3/5x+1/3(0)=1/15
3/5x+0=1/15
3/5x=1/15
times 5/3 both sides
x=1/9
xintercept is x=1/9
yintercet
set x=0
3/5(0)+1/3y=1/15
0+1/3y=1/15
1/3y=1/15
times 3/1 both sides
y=1/5
yintercept is y=1/5
xint is x=1/9
yint is y=1/5
Which expression is equivalent to 8x - 12y + 32?
15 points!!!
Answer:
The third
Step-by-step explanation:
16( times) 0.5x= 8x
16 ( times) -0.75= -12y
16(times) 2= 32
The rest are either above or bellow the expression given.
Answer:
the answer is -0.75y+2)=8x
a bottle of hand lotion is on sale for $2.25. if this price represents a 50% discount from the original price, what is the original price to the nearest cent?
Answer:
4.50
Step-by-step explanation:
2.25 plus 2.25 aka half
f(x) = -x^2 + 9x +4
Find f(-8)
Answer:-132
Step-by-step explanation:
#18 Kerry has 4 goldfish
and 8 beta fish. What is the
ratio of beta fish to total
fish? Write the ratio 3 ways.
Answer:
1:2, 1 to 2, 1/2
Step-by-step explanation:
ASAP Mr. Morris used the greatest common factor and the distributive property to rewrite the sum 45 + 27. What did he write? please show your work YOU CAN GET BRAINLIEST
Answer: its 3( 15+9 ) or 9( 5+3 ) go with your gut im srry if im wrong
Step-by-step explanation:
Daichi wo fumishimete
Kimi wa mezameteiku
I tried and couldn't get it can someone help me out
Answer:
I think it would be B)
Step-by-step explanation:
This problem seems badly worded and/or vague.
It looks like you plugged x = 3 into the inverse [tex]f^{-1}(x)[/tex] function to get 3 as the output, which is correct.
However it seems like your teacher wants you to find the (x,y) point on f(x). This means s/he is asking "what x value will get us y = 10?" As you found through working with the inverse, the x value x = 3 does that.
We can see it as such
f(x) = 3x+1
f(3) = 3*3+1
f(3) = 10
So in a sense, you were working backwards.
The point (3,10) is on the graph of f(x)
While the point (10,3) is on the graph of [tex]f^{-1}(x)[/tex]
It's likely your teacher wants you to select choice C
Ryan, a baker, measured the weights of cakes baked in each batch at his bakery and found that the mean weight of each cake is 500 grams. He performed a hypothesis test to find the mean weight of each cake by setting H subscript 0 equals 500 and H subscript a less than 500. Select the statement that indicates a Type I error.
a) Rejecting the mean weight of each cake as 500 grams when H subscript 0 equals 500.
b) Rejecting the mean weight of each cake as 500 grams when H subscript 0 less than 500.
c) Failing to reject the mean weight of each cake as 500 grams when H subscript 0 equals 500.
d) Failing to reject the mean weight of each cake as 500 grams when H subscript 0 less than 500.
Answer: Rejecting the mean weight of each cake as 500 gram when H subscript 0 equals 500
Step-by-step explanation:
Given that :
Null hypothesis : H0 =500
Alternative hypothesis : Ha < 500
Type 1 Error: Type 1 error simply occurs when we reject the Null hypothesis when the Null is true. Alternatively, type 11 error occurs when we fail to reject a false null hypothesis.
Hence, in the scenario above, a type 1 error will occur when we reject the mean weight as 500 even though the Null hypothesis is True.
Answer: A) Rejecting the mean weight of each cake as 500 grams when H₀ = 500.
Step-by-step explanation:
Type I error is when we incorrectly reject a true null hypothesis
A line with slope -3 passes through the points (5,2) and (9,y). Find y. (and yes I know this is a repost but the other one was wrong its not y=5)
9514 1404 393
Answer:
y = -10
Step-by-step explanation:
Using the point-slope form of the equation for a line, we can write the equation as ...
y -k = m(x -h) . . . . . line with slope m through point (h, k)
y -2 = -3(x -5)
Using the values for the other point, this becomes ...
y -2 = -3(9 -5)
y = -3(4) +2
y = -10
At a swimming pool there are 2 managers 8 lifeguards 3 concession stand clerks and 2 maintenance people. If a person is selected at random what is probability that person is either a lifeguard or manager
Step-by-step explanation:
The total number of people mentioned in this problem is 15. 15 will be the denominator for the probability in fraction form. The sum of the # of people that include lifeguards and managers will be the numerator.
Therefore, the probability that the person picked is either a manager or a lifeguard is 10/15 [because there are 2 managers and 8 lifeguards; 2 + 8 =10].
Fraction form of probability: 10/15
Decimal form: 0.6 repeated
Percent form: about 66.67%
The probability that person is either a lifeguard or manager is 2/3.
What is Probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.
The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.
The degree to which something is likely to happen is basically what probability means.
We have,
There are 2 managers 8 lifeguards 3 concession stand clerks and 2 maintenance people.
Total = 2 + 8 + 3 + 2 = 15
So, P(lifeguard) = 8/15, P(Manager) = 2/15.
Then, P ( lifeguard or Manager)
= 8/15 + 2/15
= 10/15
= 2/3.
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What is the end behavior of the graph? *
The graph decreases as x goes to -infinity and increases as x goes to infinity
The graph increases as x goes to -infinity and increases as x goes to infinity
The graph decreases as x goes to -infinity and decreases as x goes to infinity
The graph increases as x goes to -infinity and decreases as x goes to infinity
How long before noon does written human history begin?
Answer:
I don't instead feed the question, but anyone older than 50 years id considered history.
How can you use a number line to find the sum of -8 and 9?
Answer:
The answer is 1
Step-by-step explanation:
If you look at the number line and start counting from -8 and count 9 to the right then the number that you end on is the answer.
the area of a square is 73.96 m^2 .calculate the length of its side.
---------------------------------------------------
give me the answer step by step I know its answer is 8.6 m but I need its formula
It a bc i said so hahahahaha
Alice was rock climbing. She climbed to a height of 22 feet. Next, she descended 8 feet. Then, she ascended another 34 feet. What was
Alice's elevation?
Answer:
48 brainlest plz
Step-by-step explanation:
22-8=14
14+34=48
write equivalent fractions for 3 2/3 and 1 4/5 using 15 as the common denominator
Answer:
3 2/3 will be 3 10/15
1 4/5 will be 1 12/15
Divide 3 into 15 and get 5; 5 x 2 = 10
Divide 5 into 15 and get 3; 3 x 4 = 12
So new equivalent fractions are 3 10/15
and 1 12/15
Step-by-step explanation:
The required equivalent fractions for 3 10/15 and 1 12/15.
Given, two mixed fractions 3 2/3 and 1 4/5, determine equivalent fractions using 15 as the common denominator.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
First
= 3 2/3
= 3 + 2 / 3
= 3 + 2 × 5 / 3 × 5
= 3 + 10 / 15
Second,
= 1 4 / 5
= 1 4 × 3 / 5 × 3
= 1 12/15
Thus, the required equivalent fractions for 3 10/15 and 1 12/15.
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An integer divided by an integer is an integer
Answer:
an integer divided by an integer will always result in a fraction- therefore, the resultant number will not be an irrational number and there will always be either a repeated pattern or a single set of decimal points. Take for example 3/4= 0.75. As you can see the number is a rational number that is real.
Step-by-step explanation:
An integer divided by an integer is sometimes not an integer.
Suppose you have seven movies on DVD (two comedy, three action, and two horror) to put on a shelf. If you choose the DVDs at random, what is the probability that the first one is horror and the second one is action?
A: 66.67%
B: 7.14%
C: 4.76%
D: 14.29%
Answer: D: 14.29%
Step-by-step explanation:
Given: Total movies = 7
Categories: Comedy = 2, Action = 3 ,horror = 2
Probability that first one is horror = [tex]\dfrac{\text{Number of horror movies}}{\text{Total movies}}[/tex]
[tex]=\dfrac{2}{7}[/tex]
Remaining DVDs =6
Probability that first one is horror and the second one is action = [tex]\dfrac{2}{7}\times \dfrac{\text{Number of action movies}}{\text{remaining movies}}[/tex]
[tex]=\dfrac27\times\dfrac{3}{6}=\dfrac{1}{7}[/tex]
In percent, [tex]\dfrac{1}{7}\times100\%=14.29\%[/tex]
Hence, the correct option is D: 14.29% .
Simplify [tex]\frac{14^{15} }{14^{5} }[/tex]:
A. [tex]1^{3}[/tex]
B. [tex]1^{10}[/tex]
C. [tex]14^{3}[/tex]
D. [tex]14^{10}[/tex]
Answer:
The answer is D 14^10
Answer:
A
Step-by-step explanation:
you deposit 10000 into a bank account. the account pays 4 annual interest compounded quarterly. find the balance after 5 years.
You may need to delete the comma if you are entering this result into a computer system.
=====================================================
Work Shown:
P = 10,000 = deposit
r = 0.04 = decimal form of 4% interest rate
n = 4 = we're compounding 4 times a year
t = 5 years
-------------
A = P*(1+r/n)^(n*t) .... compound interest formula
A = 10,000*(1+0.04/4)^(4*5)
A = 12,201.9003994797
A = 12,201.90
After 5 years, there is $12,201.90 in the account.
This is assuming you do not deposit any more money, and it also assumes that you don't take any money out during the 5 year timespan either.