Answer:
32/196
Step-by-step explanation:
After doing equivalent fraction operation 5th time on 1/6 we got the result, 6/36
What is the equivalent fraction?Equivalent fraction is the process in which we write, same fraction in the form of different fraction. We multiply and divide a given fraction by a common number to make it equivalent to a given number.
Given fraction,
1/6
Now, we need to calculate 5th equivalent fraction
first, by doing multiplication and division of 2,
1×2/6×2 = 2/12
second, by doing multiplication and division of 3,
1×3/6×3 = 3/18
Similarly, Till 5th equivalent
1×6/6×6 = 6/36
Hence, 5th equivalent fraction is 6/36
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the
square
(5x² + 6xy)²
is
Answer:
[tex] {25x}^{4} + 60 {x}^{3} y + 36 {x}^{2} {y}^{2} [/tex]
Step-by-step explanation:
[tex](5 {x}^{2} )^{2} + 2 \times 5 {x}^{2} \times 6xy + (6xy)^{2} [/tex]
Gives the above answer
Answer:
in the picture
Step-by-step explanation:
Find the values of a and b such that x^2-x+5=(x-a)^2+b
Answer:
a = 0.5 or 1/2
b = 19/4 or 4.75
Step-by-step explanation:
Step 1: Isolate x's
x² - x = -5
Step 2: Complete the Square
x² - x + 1/4 = -5 + 1/4
(x - 1/2)² = -19/4
Step 3: Move everything to one side
(x - 0.5)² + 4.75
can someone answer this for me pls?
No. 1
x=2
y=0
Solve it by substitution method
Where,
y=2-x
and replace y at equation 1
Determine whether the given value is a statistic or a parameter. A sample of 818 adults showed that 39% voted in the past election. Choose the correct answer below. A. The value is a because it is a numerical measurement describing some characteristic of a parameter sample. B. The value is a because it is a numerical measurement describing some characteristic of a statistic population. C. The value is a because it is a numerical measurement describing some characteristic of a statistic sample. D. The value is a because it is a numerical measurement describing some characteristic of a parameter population.
Complete Question:
Determine whether the given value is a statistic or a parameter. A sample of 818 adults showed that 39% voted in the past election. Choose the correct answer below.
A. The value is a parameter because it is a numerical measurement describing some characteristic of a parameter sample.
B. The value is a statistic because it is a numerical measurement describing some characteristic of a statistic population.
C. The value is a statistic because it is a numerical measurement describing some characteristic of a statistic sample.
D. The value is a parameter because it is a numerical measurement describing some characteristic of a parameter population.
Answer:
C. The value is a statistic because it is a numerical measurement describing some characteristic of a statistic sample.
Step-by-step explanation:
If a sample of 818 adults showed that 39% voted in the past election. Therefore, the value is a statistic because it is a numerical measurement describing some characteristic of a statistic sample.
In Statistics, a sample can be defined as a set of data (individuals, observations or objects) collected from a larger statistical population using specific procedures. Therefore, a sample is a subset or part of population.
The difference between a statistic and a parameter is that; statistic is a numerical measurement describing some characteristic of a statistic sample while parameter is a numerical measurement describing some characteristic of a population.
In this scenario, a sample of 818 adults from the total population showed that 39% voted in the past election. The data collected represents a sample and as such, it is a statistic value.
Which number line represents the solutions to |x – 2| = 6? A number line from negative 10 to 10 in increments of 1. Two points, one at negative 8 and one at 4. A number line from negative 10 to 10 in increments of 1. Two points, one at 4 and one at 8. A number line from negative 10 to 10 in increments of 1. Two points, one at negative 2 and one at 6. A number line from negative 10 to 10 in increments of 1. Two points, one at negative 4 and one at 8.
Answer:
x = 8 or x = -4, i.e., the last number line
Step-by-step explanation:
|x – 2| = 6 translates to
x-2 = 6 or x-2 = -6 if you eliminate the absolute operation. So there are two solutions that you can solve independently:
x-2 = 6 => x = 8
x-2 = -6 => x = -4
Answer:
d
Step-by-step explanation:
just got it right :)
Translate into an algebraic expression How much x% sugar syrup can you make if you have 100 grams of sugar ?
Answer:
If we have a x% sugar syrup, this means that the ratio between the amount of sugar and the total amount of syrup (water + sugar), times 100%, is equal to x%
So we if we have 100gr of sugar and m grams of water mixed, we have:
100gr + m = M = grams of syrup, then we have:
then we have:
(100gr/M)*100% = x%
then
100gr*(100/x) = M
where M is the total amount of syrup that you can make.
Answer:
10000/x
Step-by-step explanation:
So, we can try to put this into an algebraic expression doing this!
We know that % means, *out of 100*, therefore
x=100
100=1 Which means, 100 over one equals to x over 100!
Cross multiply.
100*100 is 10,000
x*1 is x
you cannot simplify it further so we just leave it as, 10,000 divided by x, because x=10,000, would be 10,000 divided by x!
Cheers! I hope you can understand this now.
A triangle is rotated 90° about the origin. Which rule describes the transformation?
O(x, y) = (-x, -y)
O(x,y) - (y, x)
O (X,Y)= (-y, -x)
O (x,y) → (y, -x)
ET
Answer:
The answer is p( x,y) =p-1 ( p das) (- y,x)
hope you get it..
Determine whether the given signal is a solution to the difference equation. Then find the general solution to the difference equation. y_k = k^2: y_k + 2 + 8y_k + 1 - 9y_k = 20k + 12 the given signal is a solution to the difference equation? No Yes What is the general solution to the difference equation? y_k = 20k + 12 + c_1 k^2 + c_2(-9)^k y_k = k^2 + c_1(-9)^k + c_2 y_k = 20k + 12 + c_1(-9)^k + c_2 Since y_k = k^2 is not a particular solution, there is not enough information to determine the general solution.
Answer:
The answer to this question can be defined as follows:
Step-by-step explanation:
The given equation is:
[tex]y_{k + 2} + 8y_{k +1} - 9y_{k} = 20k + 12..(1)[/tex]
put,
[tex]y_k = k^2\\\\y_{k+2}=(k+2)^2\\\\y_{k+1}=(k+1)^2\\\\[/tex]
[tex](k+2)^2+8(K+1)^2-9k^2 = 20k+12\\\\=20k+12= 20K+12\\\\[/tex]
hence y_k=k^2 is its solution.
Now,
[tex]\to y_{k+2}+ 8y_k + 1 - 9y_k = 20k + 12[/tex]
the symbol form is:
[tex](E^2+8E-9)_{yk}=20k+12[/tex]
[tex]\to m^2+8m-9=0\\\\\to m^2+(9-1)m-9=0\\\\\to m^2+9m-m-9=0\\\\\to m(m+9)-(m+9)=0\\\\\to (m+9)(m-1)=0\\\\\to m=-9 \ \ \ \ \ \ \ m=1\\[/tex]
The general solution is:
[tex]y_k = c_1(-9)^k + c_2(`1)^k\\\\y_k =c_1(-9)^k+c_2[/tex]
The complete solution is:
[tex]y_k=(y_k)_c+(y_k)_y\\\\y_k= c_1(-9)^k+c_2+k^2[/tex]
The answer is option b: [tex]y_k = k^2 + c_1(-9)^k + c_2[/tex]
After solve the complete solution is:
[tex]\bold{y_1=c_1(-9)^k+c_2+k^2.....}[/tex]
A school allots £2500 to spend on a trip to the theatre.
Theatre tickets have a regular cost of £45 each and are on offer for 1/5
off.
A train ticket for the day will cost £20 each.
If 3 teachers and the maximum number of students attend, how many students go on the trip?
Answer:
Maximum number of students=41
Step-by-step explanation:
Total allotted=£2500
Regular theatre Tickets=£45
1/5 off= 4/5*45
=£36
Train tickets=£20 each
Total cost per person=£36+£20
=£56
If 3 teachers and maximum number of students attend
Let x=maximum number of students
Therefore
£56(x+3) <or= £2500
56x+168 <or= 2500
56x <or= 2500-168
56x <or= 2332
x <or= 2332/56
x<or=41.643
Maximum number of students that will go on the trip=41 students
Total money left over for the school=
Total allotted - cost per person multiplied by number of teacher+students
=2500 - 56(3+41)
=2500-56(44)
=2500-2,464
=£36
Help please I’m not good at rational functions.
Answer:
See below.
Step-by-step explanation:
[tex]\frac{6z^2-12z}{4z^2-16z+16} +\frac{3z}{z^2-z-2} \\\\[/tex]
First, factor the numerators and the denominators:
[tex]=\frac{6z(z-2)}{4(z^2-4x+4)}+\frac{3z}{z^2-z-2}\\=\frac{6z(z-2)}{4(z-2)^2}+\frac{3z}{(z-2)(z+1)}\\=\frac{3z}{2(z-2)}+\frac{3z}{(z-2)(z+1)}[/tex]
Now, make the two denominators equivalent. To do this, we can multiply the first term by (z+1) and multiply the second term by 2. This will give us:
[tex](\frac{z+1}{z+1} )(\frac{3z}{2(z-2)})+(\frac{2}{2})(\frac{3z}{(z-2)(z+1)})\\=\frac{3z(z+1)}{2(z-2)(z+1)}+\frac{6z}{2(z-2)(z+1)} \\[/tex]
Now, combine them since they have a common denominator:
[tex]=\frac{3z^2+3z+6z}{2(z-2)(z+1)}\\ =\frac{3z^2+9z}{2(z-2)(z+1)} \\=\frac{3z(z+3)}{2(z-2)(z+1)}[/tex]
This cannot be simplified further.
Please help me :))))
Answer:
12617.13
Step-by-step explanation:
250(1+0.103)^40= 12617.13
hope it help
Answer:
12617.13
Step-by-step explanation:
solve for x. 5x=15+5
Answer: x=4
Step-by-step explanation:
5x=15+5
15+5=20
5x=20
divide 5 on both sides
20/5=4
x=4
Answer:
x=4
Step-by-step explanation:
5x=15+5 add
5x=20 divide
x=4 simplify
Which equation correctly rearranges the formula D=rt to find the time it will take her to run around the lake?
A) t=d/r
B) t=r/d
C) t=d+r
D) t=d-r
Answer:
t = D/r
Step-by-step explanation:
D = rt
Divide each side by r to isolate t
D/ r = rt/r
D /r = t
The time required is D/r
There are 12 boys and 16 girls in a classroom. Which represents the simplified ratio of girls to students in the classroom? THIS IS A RATIO!
Answer:
4:7
Step-by-step explanation:
The number of students in the class is:
boys + girls
12 + 16 = 28
There are 28 students.
The ratio of girls to students is:
16:28
Simplify the ratio.
4:7
Answer:
4:7
Step-by-step explanation:
I got it right on the test
Plzzz help ASAP find the value for x
Answer:
x = 50
Step-by-step explanation:
The base angles of an isosceles triangle are the same
The unmarked angle is also x
The sum of the angles of a triangle is 180
x+x+ 80 = 180
2x+80 =180
Subtract 80 from each side
2x+80-80 = 180-80
2x = 100
Divide by 2
2x/2 = 100/2
x = 50
help i will give brainliest
Answer:
see below
Step-by-step explanation:
Formula: Center Not at Origin:
New point = k( x-a) +a, k( y-b) +b where k is the scale factor and ( a,b) is center of dilation
New point = -2( x-4) +4, k( y-6) +6
The scale factor is k = -2
Taking the top point ( 1,9)
New point = -2( 1-4) +4, -2( 9-6) +6
= -2(-3) +4 , -2(3) +6
6+4, -6+6
10,0
Taking the bottom left point ( 1,7)
New point = -2( 1-4) +4, -2( 7-6) +6
= -2(-3) +4 , -2(1) +6
6+4, -2+6
10,4
Taking the bottom right point ( 2,7)
New point = -2( 2-4) +4, -2( 7-6) +6
= -2(-2) +4 , -2(1) +6
4+4, -2+6
8,4
Solar energy is considered by many to be the energy of the future. A recent survey was taken to compare the cost of solar energy to the cost of gas or electric energy. Results of the survey revealed that the distribution of the amount of the monthly utility bill of a 3-bedroom house using gas or electric energy had a mean of $120 and a standard deviation of $11. If the distribution can be considered bell shaped, what percentage of homes will have a monthly utility bill of more than $109? Group of answer choices approximately 16% approximately 32% approximately 84% approximately 95%
Answer:
The answer is 132
Step-by-step explanation:
The percentage of homes will have a monthly utility bill of more than $109 is approximately 84%
How is standard deviation calculated?Suppose that the considered data set is x bar.
Then, its standard deviation is the positive square root of the variance of this data set. Variance of data set is the sum of squared differences of the data values from its mean to the total count of data values.
We are given that Mean, m = $92
Standard deviation, s = $13
Now, we have to find calculate percentage of homes will have a monthly utility bill of more than $79 i.e P(X > 79)
Also, P( X > 79) = 1 - P( X < 79)
Z-score for (X = 79 )
Z = -1
From the standard Z value vs P table, we have;
P( Z < -1 ) = 0.1587
Thus,
P( X < 79) = P( Z < -1 ) = 0.1587
therefore,
P(X > 79) = 1 - 0.1587
P(X > 79) = 0.8413
= 0.8413 × 100%
= 84.13%
Hence, the option d) is approximately 84%
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Please answer the question now in two minutes
Answer: A. mB = 24.8ᴼ
Step-by-step explanation:
A and B are complementary angles, which means they add to equal 90ᴼ.
To find mB, subtract mA from 90
90 - 65.2 = 24.8
a kennel has40 dogs in total , some are puppies and some are adults dogs . the ratio of puppies to adult dogs is 1:4 how many puppies are there
Answer:
8 puppies
Step-by-step explanation:
Total = 40
Ratio = 1:4
Total Parts = 4+1 = 5
Divide this from the total
=> 40/5 = 8
Now, Multiply the result with the ratios:
=> 4 * 8 = 32
=> 1 * 8 = 8
Answer: total number of puppies:40
Ratio of puppies to adults;1:4
1x+4x=40… 1x puppies
4x adult dogs
5x=40:x=40/5=8
No. Of puppies=1*8(x=8)
No.of adult dogs=4*8:32
Izzy gets a loan of $2,800 with an APR of 3.5%. She will repay the loan in monthly payments for 9 months. To find the total amount of interest she will pay, Izzy uses an online calculator. What are the correct numbers she should enter?
Answer: Hold on
Step-by-step explanation: LEt me see this is tricky
Answer: P= 2,800, r= 0.035, n= 12, t= 0.75
Step-by-step explanation:
I guessed and got it right!
The sides of a square are three to the power of two sevenths inches long. What is the area of the square? (
Answer:
Step-by-step explanation:
The side of the square = 3^2/7
Use the law of exponents . If the power is a fraction, that means it is
3^2/7 = 3^2 x 1/7 = 7√9
To find the area you multiply this by itself.
This gives you 1.87...
Hope this helps
When asked how old she was, Suzie replied, "In two years I will be twice as old as I was five years ago." How old is she?
Answer:
12
Step-by-step explanation:
When we find the age of Suzie, her age is 12 currently.
Hope this helps!!! PLZ MARK BRAINLIEST!!!
The Henderson family runs a farm. A portion of the soil on their farm will not be used. What is the area of the portion of the soil that will not be farmed.
Answer:
(C)221.5 miles
Step-by-step explanation:
Given a triangle with two sides a and b and an included(an angle between the two given sides) angle [tex]\theta,[/tex]
Area of the Triangle [tex]=\dfrac12 ab\sin \theta[/tex]
[tex]a=32$ miles\\b=23 miles\\\theta =37^\circ[/tex]
Therefore, The area of the portion that will not be farmed
[tex]=\dfrac12 \times 32 \times 23 \times \sin \37^\circ\\=221.47\\\approx 221.5$ square miles[/tex]
The correct option is C.
What is an equation of the line that passes through the point
(−5,7) and is parallel to the line
x+5y=10?
x + 5y - 10 = 0 there you have it
Estimate the answer by rounding the percent to the nearest ten and the second number to the nearest thousand. 2828% of 8102
Answer:
First one that is rounded off near 100 is .29 and second one that is rounded off near 1000 is 8102
Step-by-step explanation:
Rounding the percent to the nearest ten and the second number to the nearest thousand gives the estimated answer is 2400.
To estimate the answer, we will round the percent to the nearest ten and the second number to the nearest thousand.
28% of 8102 can be approximated as follows:
Step 1: Round 28% to the nearest ten, which is 30%.
Step 2: Round 8102 to the nearest thousand, which is 8000.
Step 3: Calculate 30% of 8000.
30% of 8000 = 0.30 * 8000 = 2400.
Rounding to the nearest ten and thousand helps simplify calculations while still providing a reasonably accurate estimate. However, it's essential to remember that this is an approximation and might not be as precise as calculating the exact value. Rounding introduces some degree of error, but for quick estimations, it can be a useful technique.
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Can anyone help me with this question
Answer:
3x + 7
Step-by-step explanation:
1. Distribute the negative into the parentheses.
6x - (3x - 7)
6x - 3x + 7
2. Simplify.
6x - 3x + 7
= 3x + 7
help please? ASAP!!!!
i dont know please help
Answer:
less than or equal to x
Step-by-step explanation:
For example
[4 ] = 4
[4.3 ] = 4
[- 2 ] = - 2
[- 2.4 ] = - 2
OK so I need to know what 96÷6 is and I know it is 16 but I need to know how to do it in long division can anyone help me
Answer:
16
____________
6| 96
-6 |
V
36
- 36
0
6 goes into 9 one time because 9-6=3 so there is 1 six in 9. Write 1 at the top because you have 1 6.
Subtract the 6 and you get 3
Bring the 6 from 96 down
you get 36
6 goes into 36 6 times because 36-6-6-6-6-6-6=0 so write a 6 at the top and you get 16 because of the previous 1.
Subtract 36 by 36 to get 0
Hope this helps
Step-by-step explanation:
Answer:
16
Step-by-step explanation:
You have to take each number in the dividend (number being divided) and divide it by the number in the divisor (number that is dividing). Here you would take 9, the first number in the dividend and divide it by 6, and you would put that in the first space of the quotient (answer). You would then take that number and multiply it by 6 and place it in the space below. Subtract 6 from 9 and get 3. Drop down the 6 to get 36. Take 36 and divide that by the divisor 6 and get 6 next to the number 1 you calculated earlier to get your answer 16. Take 6 and multiply it back to get 36 and subtract it from 36 to get a remainder of 0.
I showed how to do it visually in the attachment just in case this explanation didn't make any sense
PLEASE HELP Which of the following types of data are likely to be normally distributed? Select all that apply
Answer: the correct answer is D and E
Step-by-step explanation: