1/2(8+6)-2=4+x-2 pls explain the steps on how to get the answer
Answers
Answer:
3
Step-by-step explanation:
1/2(8+6)-2=4+x-2
1/2*14 -2 = 2+x
7-2=2+x
5=2+x
x=5-2
x=3
Related Questions
Complete the tasks to subtract the polynomials
vertically.
(1.32 +0.412 – 241) – (0.612 + 8 - 181)
What is the additive inverse of the polynomial
being subtracted?
-0.612 + (-8) + (-181)
-0.612 + (-8) + 18+
-0.612 + 8 - 181
0.612 + (-8) + 181
DONE
Answers
Answer:
The additive inverse of the polynomial being subtracted is -0.612-8+181
Step-by-step explanation:
Given expression : (1.32 +0.412 – 241) – (0.612 + 8 - 181)
Now the polynomial being subtracted : (0.612 + 8 - 181)
Additive inverse : The number in the set of real numbers that when added to a given number will give zero.
So, Additive inverse of 0.612 = -0.612
Additive inverse of 8 = -8
Additive inverse of -181 = 181
So, The additive inverse of polynomial being subtracted : -0.612-8+181
So, Option B is true
Hence the additive inverse of the polynomial being subtracted is -0.612-8+181
Find the student's error in solving the following
inequality.
31 <-5x + 6
25 <-5x
-5
Answers
3. A team of eye surgeons has developed a new technique for a risky eye operation to restore the
sight of people blinded from a particular disease. Under the old method only 30% of the patients
recover their eyesight. Surgeons at various hospitals have performed 225 operations using the
new method and in 88 the patients recovered their eyesight. Using a 01 level of significance, is
there evidence that the new method is better than the old one? (30 points)
Answers
Answer:
Yes the new method if sample size was less than 20 than that of old method or identical sample numbers of old and new the differences still prove the new operation is better. As 88 patients minus 1% still shows us 76.7475 significance of old method being low point 67.5 = 30% of 225 and proved a 65.25 low point and 69.75 high point which is also a 20% jump to new methods low point significance.
You cna show this as workings to prove or follow any of the below statements.
Where new method of 88 patients -0.01 significance rate stands at 76.7475. This figure has reduced by 11.2525 from 88 patients to 76.7 we compare this to the old method if reversing significance we find = 62.5 and it's 30% standing value of 67.5 as +1% increase shows us 31% = 69.7 ( 0.31 x 225 = 69.74)
Step-by-step explanation:
88/225 = 0.39111111111 = 39.11%%
P value 01 = 1% = 225.225 or 5% range of alternative hypotheses.
To graph the P value we take the distance between the sample mean and the null hypothesis value (225 + 1% of sample - x nhv) = y ). We can graph the probability of obtaining a sample mean (225 +/- ( x +1% of sample) where nhv has a decimal if needed to utilize the 1% added). we would replace nvp in this example with Ha or H1 which means the alternative hypotheses as the data shows less than or equal to.
We can then show 225.225 - Ha or H1 then graph the probability of obtaining a sample mean that is at least extreme in both tails Ha or H1
However it would be the other way round where you take the first set of data and use the sample as the 30% significance of that sample indicates it may be a larger sample or a higher significance. Therefore this would be used in the graphing - 1%
We prove that 30-1 =29 where 29% of 225 = 225 x 0.29 = 65.25
this way we have proved that the new set of data being equal to 88 patients regaining their eyesight is <23 and can be written like this 65.25< x <88
This means that sample mean has taken the 1% to show on the graph we can show 225> 33.11 +1 .
We can prove that both indifference of significance would reduce when 1% is added and close based on being a higher percentage to begin with.
34.11 = 0.3411 x 225 = 76.7475 for second surgeon = 33.11% +1
Where as shown
30 = 0.3 x 225 = 67.5
76.5475 - 67.5 = 9.04 difference when comparing old method = +1%
where new method stands at 76.7475 has reduced by 11.2525 from 88 patients and where old method if reversing = 62.5 and has reduced from 67.5 as +1% and 31% = 69.7 ( 0.31 x 225 = 69.74)
You would therefore graph each higher methods first if comparing both by 0.01 or show 88 on graph and 76.7475 = +1%
NB/ if sample size was 20 more in the old data then 225+20 = 245 x 0.29 = 71.05 and would still be lower than new data. = 2.0 increase level of significance and not relevant unless you are looking for the decrease which means new is greater than 20% success than that of old method findings where 30% = 67.5.
PLEASE HELP! 5 MINS! You are given an n×n board, where n is an even integer and 2≤n≤30. For how many such boards is it possible to cover the board with T-shaped tiles like the one shown? Each cell of the shape is congruent to one cell on the board.
Answers
Answer:
15
Step-by-step explanation:
30/2 = 15
Answer:
7
Step-by-step explanation:
Hey, sorry if this is a little late, but think of the tiles in an arrangement where 4 fit into a rectangle type thing. Now, since you want to find the maximum number of boards, find the closest number that you can multiply by 4 to get something close to 30. Here, you can see that 7x4=28, which is both an even number and the closest number to 30 as you can get. So, the answer is 7.
Multiply. -5•-1/7•4/8. Write your answer in simplest form.
Answers
Answer:
5/14
Step-by-step explanation:
Multiply.
(-5 × -1 × 4) / (7 × 8)
20/56
Simplify.
5/14
Answer:
The answer is [tex]\frac{5}{14}[/tex].
Step-by-step explanation:
1. -5 × [tex]\frac{-1}{7}[/tex] = [tex]\frac{5}{7}[/tex]
2. [tex]\frac{5}{7}[/tex] · [tex]\frac{4}{8}[/tex] = [tex]\frac{20}{56}[/tex]
3. Simplify:
[tex]\frac{20}{56}[/tex] = [tex]\frac{5}{14}[/tex]
About 3% of the population has a particular genetic mutation. 600 people are randomly selected.
Find the standard deviation for the number of people with the genetic mutation in such groups of 600. Round your answer to three decimal places
Answers
Answer:
Standard deviation for the number of people with the genetic mutation = 4.178
Step-by-step explanation:
Explanation:-
Given random sample size 'n' =600
proportion of the Population 'p'=3% or 0.03
Let 'X' be the random variable in binomial distribution
Mean of the binomial distribution
μ = n p
= 600 X 0.03
= 18
Mean of the binomial distribution ' μ ' =18
Standard deviation of the binomial distribution
σ = [tex]\sqrt{npq} = \sqrt{600 X 0.03 X 0.97} = \sqrt{17.46} = 4.178[/tex]
Conclusion:-
Standard deviation for the number of people with the genetic mutation = 4.178
Describe how to transform the graph of f into the graph of g. f(x) = x2 and g(x) = -(-x)2 The graph shifts left one unit. Reflect the graph of f across the y-axis and then reflect across the x-axis. Reflect the graph of f across the y-axis. Reflect the graph of f across the x-axis.
Answers
Answer:
Reflect the graph of f across the y-axis and then reflect across the x-axis.
Step-by-step explanation:
Reflection rules:
Reflection over x -axis:(x,y)→(x,-y)
Reflection over y-axis : (x,y)→(-x,y)
Graph:[tex]y= f(x)=x^2[/tex]
We are given that the graph of f into the graph of g.
[tex]f(x) = x^2[/tex] and [tex]g(x) = -(-x)^2[/tex]
Reflect over y axis.
Reflected graph [tex]=(-x)^2[/tex]
Reflect the obtained graph over x axis
[tex]g(x)=-(-x)^2[/tex]
So, Option B is true
Hence Reflect the graph of f across the y-axis and then reflect across the x-axis.
Answer:
i reflected it over the x and y axis tho
Step-by-step explanation:
bro trust me
I NEED HELP PLEASEEE \6(2x – 11) + 15 = 3x + 12 Part A: Write the steps you will use to solve the equation, and explain each step. (6 points) Part B: What value of x makes the equation true? (4 points)
Answers
Answer:
x = [tex]-7\frac{2}{3}[/tex]
Step-by-step explanation:
=> 6(2x+11) + 15 = 3x+12
(Expand the brackets)
=> 12x+66+15 = 3x+12
(Adding 66+15)
=> 12x+81 = 3x+12
(Subtracting 81 and 3x to both sides)
=> 12x-3x = 12-81
=> 9x = -69
(Dividing both sides by 9)
=> x = [tex]\frac{-69}{9}[/tex]
(Simplifying)
=> x = [tex]\frac{-23}{3}[/tex]
(Converting it into mixed form)
=> x = [tex]-7\frac{2}{3}[/tex]
So, x = [tex]-7\frac{2}{3}[/tex] will make the equation true.
Answer:hello
The answer is 7
Step-by-step explanation:at first solve this6(2x-11)=12x-66
Then write 12x-66+15
Then we have this 12x-66-15=3x+12
Then we have to write (x) in the left side and number in right side
12x-3x=66-15+129x=63
X=7
Good luck
Tickets to a concert cost either $12 or $15. A total of 300 tickets were sold, and the total receipts were $4140. How many of each kind of ticket were sold?
Answers
Answer:
1,242,000
Step-by-step explanation:
What is the slope of the line shown below?
(3, 8)
(1, -2)
Answers
[tex]answer \\ 5 \\ solution \\ let \: the \: points \: be \: a \: and \: b \\ a(3 , 8) = > (x1 , y1) \\ b(1 , - 2) = > (x2 , y2) \\ slope = \frac{y2 - y1}{x2 - x1} \\ \: \: \: \: \: = \frac{ - 2 - 8}{1 - 3} \\ \: \: \: \: \: = \frac{ - 10}{ - 2} \\ \: \: \: \: \: \: = 5 \\ hope \: it \: helps[/tex]
To find the slope of the line, I will be showing you the table method.
To find the slope of the line using the table method,
we start by making a table for our ordered pairs.
We will put the x values in the left column
and the y values in the right column.
Our first ordered pair is (3, 8), so we put a
3 in the x column and a 8 in the y column.
Our second ordered pair is (1, -2), so we put a
1 in the x column and a -2 in the y column.
Next, remember that the slope or m, is always equal to
the rate of change or the change in y over the change in x.
Using our table, we can see that the y values
go from 8 to -2 so the change in y is -10.
The x values go from 3 to 1 so the change in x is 2.
Therefore, the rate of change, or the change in y
over the change in x is -10/2 which reduces to 5.
This means that the slope is also equal to 5.
If ABCD is a rectangle, and ABD=55, what is the value of X?
Answers
Answer:
x= 70
Step-by-step explanation:
This question needs an attachment; see attached
Given
ABD = 55
Required
Find x?
In the figure shown in the attachment, angle b and ABD are alternate interior angles;
From parallel and perpendicular line theorems; alternate interior angles are equal.
This implies that <b = 55
Also; when a rectangle is divided by two diagonals, the resulting triangles are isosceles triangles;
where 2 sides and 2 angles are equal;
This implies that <b = <c = 55
Sum of angles in a triangle = 180;
So,
<x + <b + <c = 55
x + 55 + 55 = 180
x + 110 = 180
Subtract 110 from both sides
x + 110 - 110 = 180 - 110
x = 180 - 110
x = 70
PLZ HELP 50 POINTS AND BRAINLIEST!!!!!!!! Karen has a large pile of colored rods. Each color is a different length. She is trying to connect different colored rods to make triangles as part of a hanging sculpture. Here is a list of rod lengths.
Red: 3 inches
Orange: 4 inches
Yellow: 5 inches
Green: 7 inches
Blue: 9 inches
Purple: 12 inches
1. How many triangles can she make with them if each side is a different color? List the combinations that work.
2. Karen was just trying different combinations of colored rods one at a time, placing the colored rods together to see if they make a triangle. What method did you use to determine the triangle options? Which method do you think is better and why?
Answers
Answer:
9 possible combinations: RGB, RYG, RGB, OYG, OGB, OBP, YGB, YBP, GBP
Step-by-step explanation:
We need to consider The Triangle Inequality Theorem which states that the sum of any 2 sides of a triangle must be greater than the measure of the third side.Let's see what are the possible combinations:
3+4= 7 so possible 3rd side is 5
3, 4, 5 or ROY3+5= 8 so possible 3 rd side is 7
3, 5, 7 or RYG3+7= 10 so possible 3rd side is 5 or 9 (5 is repeat of the one above)
3, 7, 9 or RGB3+9= 12 so possible 3rd side is 7, see one above
3+12= 15 so possible 3 rd side is none
4+5=9 so possible 3rd side is 7
4, 5, 7 or OYG4+7= 11 so possible 3rd side is 9
4, 7, 9 or OGB4+9= 13 so possible 3rd side is 12
4, 9, 12 or OBP5+7= 12 so possible 3rd side is 9
5, 7, 9 or YGB5+9= 14 so possible 3rd side is 12
5, 9, 12 or YBP7+9= 16 so possible 3rd side is 12
7, 9, 12 or GBPSo the possible 9 combinations are:
RGB, RYG, RGB, OYG, OGB, OBP, YGB, YBP, GBPthe value of x is __?
Answers
cos x = sin (20 + x)
sin and cos are CO-FUNCTIONS, which means that: cos x = cos [90 - (20 + x)]
cos x = cos (90 - 20 - x)
cos x = cos (70 - x)
Therefore, x = 70 - x
x + x = 70
2x = 70
Need so help. REally appreciate it
Answers
Answer:
y = (1/2)(x) + 1/2
Step-by-step explanation:
The x-intercept is (-1, 0) and the y-intercept appears to be (0, 1/2).
As we go from the x-intercept to the y-intercept, x increases by 1 and y increases by 1/2. Thus, the slope of the line is m = rise / run = 1/2.
Knowing that m = 1/2 and b = (0, 1/2), we can write the equation of this line in slope-intercept form as
y = (1/2)(x) + 1/2
The sum of three numbers is 62. The second number is equal to the first number diminished by 4. The third number is four times the first. What are the numbers? Which three expressions could be used to represent the numbers?
A n; n - 4; 4n
B n; 4 - n; n + 4
C n; n/4; n + 4
Answers
Answer:
38
Step-by-step explanation:
38 because
f(x) = -9x + 2 and g(x) = -9x + 6, find (f - g)(7)
Answers
Answer:
I think there is an error in the question because
(f-g) = -4
(f-g) (7) = NO SOLUTION
Step-by-step explanation:
[tex]f(x) = -9x + 2 \\g(x) = -9x + 6\\(f - g)(7)\\(f - g) = -9x + 2 - (-9x+6)\\(f - g) = -9x +2 +9x-6\\(f - g) = -9x +9x+2-6\\(f - g) = -4[/tex]
how does the fact that a parallelogram has rotational symmetry demonstrates that opposite side of a parallelogram are congruent ?
Answers
Answer:
See below.
Step-by-step explanation:
It is known that a parallelogram has rotational symmetry, rotated 180 degrees about it's center point. Now by definition a parallelogram is a quadrilateral with two pairs of parallel sides, hence it's name. If you were to take a look at the attachment below, you might see the connection.
Rotational Symmetry will make it so that side AB corresponds to CD, respectively AD and CB. The sides will coincide with one another after a 180 degree rotation, so that AB = CD, and AD = CB. Hence, in the same parallelogram, opposite sides are congruent.
Proved!
A baby saw a toy and scooted closer, moving 1/3 of a meter in 1/4 of a minute.How fast was the baby moving
Answers
Answer:
1 1/3 meter a minute
Step-by-step explanation:
it pretty simple i just added
Answer:
1 1/3
Step-by-step explanation:
3 3/7 divided by 6 2/5
Answers
Answer:
15/28
Step-by-step explanation:
3 3/7 ÷ 6 2/5
Change to improper fractions
(7*3+3)/7 ÷ (5*6+2)/5
24/7 ÷32/5
Copy dot flip
24/7 * 5/32
Cancel an 8 from the numerator and denominator
3/7 * 5/4
15/28
Answer: 15/28
Explanation: First write each mixed number as an improper fraction.
As a quick review, to write a mixed number as an improper fraction,
we multiply the denominator times the whole number,
then we add the numerator.
First rewrite 3 and 3/7 as 24/7 and 6 and 2/5 as 32/5.
So we have 24/7 ÷ 32/5.
Dividing by a fraction is the same as multiplying by its reciprocal.
In other words, we can change the division
sign to multiplication and flip the second fraction.
So 24/7 ÷ 32/5 can be rewritten as 24/7 × 5/32.
Before multiplying, noice that the 24 and 32 cross-cancel to 3 and 4.
So we have 3/7 × 5/4 which is 15/28.
HELP ME PLEASE REALLY IMPORTANT OR ILL GET IN TROUBLE!! WILL MARK AS BRAINLEST IF YOU GET IT CORRECT!!
Answers
Answer:
7
Step-by-step explanation:
The equation K = StartFraction one-half EndFractionmv2 represents the energy an object has based on its motion. The kinetic energy, K, is based on the mass of the object, m, and the velocity of the object, v. Lashandra is given K and v for 10 different objects. In order to make solving more efficient, she solves the equation for m : m = m equals StartFraction K Over 2 v squared EndFraction.. After attempting to determine the mass of a few objects, Lashandra realizes there must be something wrong with her formula. What is Lashandra’s error? She should have multiplied by 2 instead of dividing by 2. She should have multiplied by K equals StartFraction one-half EndFraction m v squared. instead of dividing by 2. She should have used the square root to move the squared term to the other side of the equation. She should have squared the K when moving the v2 to the other side of the equation.
Answers
Answer:A
Step-by-step explanation:
Answer: Letter A
Step-by-step explanation:
Which statement is true?
The transformation is rigid because corresponding side
lengths and angles are congruent.
The transformation is rigid because corresponding side
lengths are congruent and corresponding angles are not
congruent.
The transformation is nonrigid because the two
triangles have different names.
The transformation is nonrigid because the three sides
and the three angles in each triangle have different
measures.
Answers
Answer:
Option A
Step-by-step explanation:
The triangle most likely got translated. A translation is a rigid transformation. Rigid transformed shapes have the same angle measure and side lengths.
Option A should be the correct answer.
Side Note: You can also tell that the markings on the triangle are the same. This means that the shapes are congruent. They are just in different positions.
The true statement is (a) the transformation is rigid because corresponding side lengths and angles are congruent.
How to determine the true statement?From the figure, we have the following highlights
Corresponding angles are congruentCorresponding sides are congruentThe above means that the transformation from one triangle to the other is a rigid transformation
Hence, the true statement is (a)
Read more about rigid transformation at:
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What is the solution to this equation?
2x + 6 = 20
A. X = 13
B. X = 52
C. X = 28
D. X = 7
Answers
Answer:
d
Step-by-step explanation:
2(7)+6=20
14+6=20
20=20
Answer:
2x + 6 = 20
2x = 20 - 6
2x = 14
Divide both sides by 7
x = 7
That's option D.
Hope this helps.
A bridge connecting two cities separated by a lake has a length of 5.651 mi.
Use the table of facts to find the length of the bridge in yards.
Round your answer to the nearest tenth.
Answers
Answer:
The equivalent of 5.651 mi is 9945.76 yards
Step-by-step explanation:
Given:
Length of lake = 5.651 mi
Required:
Length of bridge in yards
From table of facts;
1 mile = 1760 yards
This implies that
5.651 miles will be:5.651 * 1760 yards
5.651 * 1760 yards = 9945.76 yards
5.651 * 1760 yards = 9945.8 yards (Aproximated)
Hence, the equivalent of 5.651 mi is 9945.76 yards
Find the domain and range of the following relation. Also determine whether the relation is a function,
{(42)(4,5),(4.7),(4.9)}
Answers
Answer: domain: {2, 3, 4, 6}
range: {–3, –1, 3, 6}
Step-by-step explanation:
DOMAIN: {4}
RANGE: {2,5,7,9}
FUNCTION? NO!
Your domain is always your x-coordinates, which are the first coordinates in a pair.
Your range is always your y-coordinates, which are the second coordinates in a pair.
When listing the points, it's important to remain a relation CANNOT be a function if the x's repeat, so luckily, they do not repeat.
Also, when listing points for your range, remember, if they repeat, you should only count one of the numbers, as you can see from the answer, there were two nines, but instead, I put one.
If K parallel to L find the value of a and the value of b.
Answers
Answer:
[tex]a = 30[/tex]
[tex]b = 40[/tex]
Step-by-step explanation:
Given
The attached triangle
Such that K is parallel to L
Required
Find the value of a and b
From the properties of parallel triangles;
Provided that k is parallel to l, then
[tex]\frac{a}{40} = \frac{a+15}{60}[/tex]
Multiply both sides by (60)(40)
[tex](60)*(40)*\frac{a}{40} = (60)*(40)*\frac{a+15}{60}[/tex]
[tex]60a = 40(a+15)[/tex]
Open Bracket
[tex]60a = 40*a+40*15[/tex]
[tex]60a = 40a+600[/tex]
Subtract 40a from both sides
[tex]60a - 40a = 40a - 40a + 600[/tex]
[tex]20a = 600[/tex]
Divide both sides by 20
[tex]\frac{20a}{20} = \frac{600}{20}[/tex]
[tex]a = \frac{600}{20}[/tex]
[tex]a = 30[/tex]
Similarly;
[tex]\frac{b}{40} = \frac{b+20}{60}[/tex]
Multiply both sides by (60)(40)
[tex](60)*(40)*\frac{b}{40} = (60)*(40)*\frac{b+20}{60}[/tex]
[tex]60b = 40(b+20)[/tex]
Open Bracket
[tex]60b = 40*b+40*20[/tex]
[tex]60b = 40b+800[/tex]
Subtract 40b from both sides
[tex]60b - 40b= 40b - 40b + 800[/tex]
[tex]20b= 800[/tex]
Divide both sides by 20
[tex]\frac{20b}{20} = \frac{800}{20}[/tex]
[tex]b = \frac{800}{20}[/tex]
[tex]b = 40[/tex]
would this be a? please explain, thanks!
Answers
Answer:
Itz B.
Step-by-step explanation:
To form a triangle to two smaller sides have to be able to add up to be greater than the big side
If f(x) = x ^ 2 is vertically compressed by a factor of 9 to g(x) , what is the equation of g(x) ?
Answers
Answer:
[tex]g(x) = \frac{1}{9} \,x^2[/tex] which agrees with option A in the list of possible answers
Step-by-step explanation:
A vertical compression by a factor 9 is represented by the transformation:
[tex]\frac{1}{9} \,f(x) = \frac{1}{9} \,x^2[/tex]
Therefore the answer to the problem is:
[tex]g(x) = \frac{1}{9} \,x^2[/tex]
Find x. Round your answer to the nearest tenth of a degree.
Answers
Answer:
x ≈ 31.3°
Step-by-step explanation:
We can use sin∅ to solve this:
sinx = 13/25
x = [tex]sin^{-1}(13/25)[/tex]
x = 32.3323
Find the size of angle XYZ.
Give your answer to 1 decimal place.
Z
13 cm
x
Y
4 cm
Answers
Answer:
72.9°solution,
[tex]tan \: y \: = \frac{13}{4} \\ y = {tan}^{ - 1} ( \frac{13}{4} ) \\ y = 72.9[/tex]
hope this helps ....
Good luck on your assignment...
By applying trigonometry ratio, the measure of angle XYZ in triangle XYZ, to 1 decimal place is 72.9°.
What are Trigonometric identities ?Trigonometric identities are equations involving the Trigonometric functions that are true for every value of variables involved.
We have given that x=4cm , y=4cm and z=13cm.
By applying trigonometry of tan which is perpendicular upon base i.e. P/B
A triangle would be constructed , base would be z=13cm
and x and y will define the other 2 lines of 4 cm each.
tan Ф = perpendicular/ base,
tan Ф = 13/4
Ф = tan [tex]^{-1}[/tex] (3.25cm)
Ф = 72.9°
Therefore, by applying trigonometry ratio, the measure of angle XYZ in triangle XYZ, to 1 decimal place is 72.9°.
Learn more about trigonometric;
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