Answer:
The P versus NP problem is a major unsolved problem in computer science. It asks whether every problem whose solution can be quickly verified can also be solved quickly.
P is the set of problems whose solution times are proportional to polynomials involving N's. ... NP (which stands for nondeterministic polynomial time) is the set of problems whose solutions can be verified in polynomial time. But as far as anyone can tell, many of those problems take exponential time to solve.
A 24-inch diameter pizza is cut into eight slices. What is the area of one slice?
Answer:
Area of a slice = Area of the pizza ÷ 8
Therefore the area of the pizza equals:
AreaPizza = π r^2 ( r = diameter ÷ 2)
= π 6^2
= 113.097
AreaSlice = AreaPizza ÷ 8
= 113.097 ÷ 8
= 14.137 inches squared
To the nearest square inch, each slice is 14 inches squared.
Step-by-step explanation:
Hope this helps.
What are the similarities and differences between translations, reflections, and rotations?
One paragraph or more ( 5 sentences) will reward for Brainly best description!
Answer:
There are four main types of transformations: translation, rotation, reflection and dilation. A translation moves the object without rotating it or changing its size. Reflection flips the object about a line of reflection. Rotation rotates a figure about a fixed point. Dilation changes the size of a figure without changing its essential shape. When you reflect a point across the x-axis, the x-coordinate remains the same, but the y-coordinate is transformed into its opposite. a negative angle of rotation turns the figure in a clockwise direction. Transformation can be done in a number of ways, including reflection, rotation, and translation. ~When you reflect a point across the x-axis, the x-coordinate remains the same, but the y-coordinate is transformed into its opposite. A negative angle of rotation turns the figure in a clockwise direction.
Step-by-step explanation:
Question
A boat is travelling due south at a speed of 53 miles per hour. If the boat started off 29 miles directly west of the city
Johnstown, how fast (in radians per hour) is the angle opposite the southward path changing when the boat has travelled 23
miles? (Do not include units in your answer, and round to the nearest hundredth.)
I think this is the answer i sorry if i am wrong
could you pls help with question 2
Answer:
Isolate the variable by dividing each side by factors that don't contain the variable.
Exact Form:
x
=
1
3
Decimal Form:
0.3
this is the first one I'm not to good with area
Can someone help me with this problem.
Answer:
D, 14 units
Step-by-step explanation:
Both coordinates have -5, so we know that 8 and -6 are at the same line.
We find the absolute value...
So 8=8 and -6=6. Lastly, we add them from 0 and 8+6= 14.
ANSWER IS 14 UNITS!!
7. Two measures of two angles of a triangle are 68° and 70°. Explain how to find the measure of the third angle.
+
The dimensions of this figure are changed so that the new surface area is exactly 14 what it was originally. What is the new surface area? Enter your answer as a decimal in the box. ft² Complex solid composed of rectangular prisms in an L shape. The bottom face is labeled with a length of 9.8 ft. The height of the shorter side of the L shape is labeled 6.5 ft. The height between the shorter side and taller side of the L shape is labeled 8.1 ft. The length of the of the taller section of the L shape is labeled 10.6 ft and the width is labeled 4.3 ft.
Answer:
Step 1. Read the problem. Draw the figure and label it with the given information. .
Step 2. Identify what you are looking for. the measure of an angle
Step 3. Name. Choose a variable to represent it. Let x= the measure of an angle.
Step 4. Translate. m\angle A+m\angle B+m\angle C=180
Write the appropriate formula and substitution
X + 4.3 + 10.6- 8.1 \end{array}
Step 7. Answer the question. The measure of the third angle is 6.8ft
The new surface area is approximately 12264.56 ft².
What is a prism?A prism is a three-dimensional object.
There are triangular prism and rectangular prism.
We have,
To solve this problem, we first need to calculate the original surface area of the complex solid.
The complex solid is composed of two rectangular prisms, one with dimensions 9.8 ft × 6.5 ft × 8.1 ft and one with dimensions 10.6 ft × 4.3 ft × 6.5 ft.
The surface area of the first rectangular prism is:
2(9.8 × 6.5) + 2(9.8 × 8.1) + 2(6.5 × 8.1) = 464.82 ft²
The surface area of the second rectangular prism is:
2(10.6 × 4.3) + 2(10.6 × 6.5) + 2(4.3 × 6.5) = 411.22 ft²
So the total original surface area of the complex solid is:
464.82 + 411.22 = 876.04 ft²
Now we need to find the new surface area, which is exactly 14 times the original surface area.
Therefore, we can write:
New surface area = 14 × original surface area
New surface area = 14 × 876.04
New surface area ≈ 12264.56 ft²
Thus,
The new surface area is approximately 12264.56 ft².
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Fatima earns $150 in 4 hours. At this rate, how many hours will it take her to earn $675?
Answer:
$150 = 4 hours,
So, in a ratio, 4 : 150
=> 150 * 4.5 : 4 * 4.5
=> 675 : 18 hours
Therefore to earn $675 at the rate of $150 for 4 hours, Fatima will need to work for 18 hours to earn $675
If my answer helped, kindly mark me as the brainliest!!
Thank You!!
12. The weight of 7 chocolate bars in grams are 131, 127,125,127,133,129 and 127
Find the Range of the data. *
(1 Point)
125
127
8
O 129
13. Find the sum of *
Answer:
The range is from 125 to 133.
Step-by-step explanation:
That's the lowest and highest the weights go, therefore the range is from 125 and anything in between up to 133.
9+8+1=9+1+8
A. True
B. False
Answer:
true
Step-by-step explanation:
both sides have the same numbers and signs
Answer:
true........its the same thing
Which statement about this sum is true? −5 2/5+5.3
Answer:
D.It is less than 0 because the addends have opposite signs and the positive addend is farther from zero.
Step-by-step explanation:
The given expression is :
When we subtract a larger number from a smaller number, we get a negative answer as mathematically we cannot subtract a larger number from smaller, so we subtract the numbers in standard format and out a negative sign in front of the answer.
Like this given expression will become : -519.70
Now, any negative number is smaller than zero.
Therefore, the correct answer is option D.
please answer this question
As we know an identity that ;
[tex]{\boxed{\bf{\cos{(2\theta)}=2\cos^{2}(\theta)-1}}}[/tex]Setting, [tex]{\bf{{\theta}=\footnotesize \dfrac{\pi}{8}}}[/tex] will give us ;
[tex]{:\implies \quad \sf \cos \left(2\times \dfrac{\pi}{8}\right)=2\cos^{2}\left(\dfrac{\pi}{8}\right)-1}[/tex]
[tex]{:\implies \quad \sf 2\cos^{2}\left(\dfrac{\pi}{8}\right)=\dfrac{1}{\sqrt{2}}+1}[/tex]
[tex]{:\implies \quad \sf 2\cos^{2}\left(\dfrac{\pi}{8}\right)=\dfrac{1+\sqrt{2}}{\sqrt{2}}}[/tex]
[tex]{:\implies \quad \sf \cos^{2}\left(\dfrac{\pi}{8}\right)=\dfrac{1+\sqrt{2}}{2\sqrt{2}}}[/tex]
Rationalizing the denominator of RHS, will yield ;
[tex]{:\implies \quad \sf \cos^{2}\left(\dfrac{\pi}{8}\right)=\dfrac{1+\sqrt{2}}{2\sqrt{2}}\times \dfrac{2\sqrt{2}}{2\sqrt{2}}}[/tex]
[tex]{:\implies \quad \sf \cos^{2}\left(\dfrac{\pi}{8}\right)=\dfrac{2\sqrt{2}+4}{8}}[/tex]
[tex]{:\implies \quad \sf \cos^{2}\left(\dfrac{\pi}{8}\right)=\dfrac{2\sqrt{2}+4}{8}}[/tex]
[tex]{:\implies \quad \sf \cos \left(\dfrac{\pi}{8}\right)=\pm \sqrt{\dfrac{2\sqrt{2}+4}{8}}}[/tex]
Now, as we know that ;
[tex]{\boxed{\bf{\sin (2\theta)=2\sin (\theta)\cos (\theta)}}}[/tex]Now, setting the same [tex]{\bf{{\theta}=\footnotesize \dfrac{\pi}{8}}}[/tex]
[tex]{:\implies \quad \sf 2\sin \left(\dfrac{\pi}{8}\right)\cos \left(\dfrac{\pi}{8}\right)=\sin \left(2\times \dfrac{\pi}{8}\right)}[/tex]
[tex]{:\implies \quad \sf 2\sin \left(\dfrac{\pi}{8}\right)\cos \left(\dfrac{\pi}{8}\right)=\dfrac{1}{\sqrt{2}}}[/tex]
[tex]{:\implies \quad \sf \sin \left(\dfrac{\pi}{8}\right)\left(\pm \sqrt{\dfrac{2\sqrt{2}+4}{8}}\right)=\dfrac{1}{2\sqrt{2}}}[/tex]
[tex]{:\implies \quad \sf \sin \left(\dfrac{\pi}{8}\right)=\dfrac{\sqrt{8}}{2\sqrt{2}(\pm \sqrt{2\sqrt{2}+4})}}[/tex]
[tex]{:\implies \quad \sf \sin \left(\dfrac{\pi}{8}\right)=\pm \dfrac{1}{\sqrt{2\sqrt{2}+4}}}[/tex]
This is the required answer
At the local nursery, 1/6 of the plants for sale are flowers and another 5/12 of them are
bushes. What fraction of the plants for sale are either flowers or bushes?
Write your answer as a fraction or as a whole or mixed number.
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Answer:
7/12
Step-by-step explanation:
The fraction that is flowers or bushes is the sum of the fraction that are flowers and the fraction that are bushes:
flowers + bushes = 1/6 + 5/12 = 2/12 + 5/12 = 7/12
7/12 are either flowers or bushes.
Help meeeeeeee pleaseeeee
Answer:
Step-by-step explanation:
Answer:
y=2x
Step-by-step explanation:
Please answer quick and show work !
The price of a bicycle that ms. motyka wants to buy is $282. How much will she pay for the bicycle if there is a 4% sales tax.
Answer: $293.28
Step-by-step explanation:
We know that 282 is the 100% price tag on the bicycle. And there is a 4% tax applied to the 282. So we need to find out how much is 4% of 282.
282/100% = x/4% (we don’t know how much is 4% so its represented by X.
do a cross over where you end up with this:
282 (4) = x (100) we want to have X on its own as it represents the 4% to which we are looking for the amount in dollars. So you end up with this:
282 (4) /100 = x
solve the multiplication first and then divide.
1128/100 = x
11.28 = x
so now we know 4% of 282 is $11.28 so we add it to know how much does this person pay.
$282 + $11.28 = $293.28
I have started doing it, but I am not sure what to do next....
Answer:
a) x=1/2
b) x=x
Step-by-step explanation:
a) x(1)=1/2
a) x=1/2
b) x(1)=x^0
b) x=x^0
b) x=x times 1
b) x=x
-4x=2 what does x equal
Answer:
-0.5
Step-by-step explanation:
-4x=2
2/-4= -0.5
x= -0.5
Use synthetic division to solve (3x^4+6x^3+2x^2+9x+10)/(x+2) What is the quotient?
Answer: = ( x + 1) (3x^2 - 3x + 5)
Step-by-step explanation:
U juss cancel the comon facor x + 2
( x + 1) (x + 2) (3x^2 - 3x + 5)/ x + 2
and get ( x + 1) (3x^2 - 3x + 5)
Answer:
B --> 3x^3+2x+5
Step-by-step explanation:
For edge
1.10 apples for 3.50. How much is the cost for 70 apples
Answer:
$0.31.
Step-by-step explanation:
If 1.10 apples cost $3.50, we should divide to find the rate per apple.
1.10/3.5 ≈ 0.31
0.31 is the aproximatley answer, since there is no clear answer (at least not from my work). 0.31*70=21.70
The cost of 70 apples are 0.31.
The circumference of frisbee is 12.56 inches. What is the frisbee’s radius?
30 points please show work thank you!!
Diameter = cirumference / pie(3.14)
Radius = Diameter/ Radius
Radius is 2 inches
The radius of the frisbee with a circumference of 12.56 inches is 2 inches
Formula for circumference
C = 2πr
Where
C is the circumference
r is the radius
π is constant (i.e pi)
How to determine the radius
From the question given above, the following data were obtained:
Circumference (C) = 12.56 inPi (π) = 3.14 Radius (r) =?C = 2πr
12.56 = 2 × 3.14 × r
12.56 = 6.28 × r
Divide both side by 6.28
r = 12.56 / 6.28
r = 2 inches
Therefore, we can conclude that the radius of the Frisbee is 2 inches
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For 13–17, use the table at right. The table gives the populations of Toledo, Ohio, and Lexington, Kentucky, during the last three U.S. Censuses.
Answer:
13)2000 per year
14)a_n = 350000 - 2000(n - 1)
15)3000 per year
16)a_n = 200000 + 3000(n - 1)
17)when when the number of years is more than 31 years, Lexington's population will be greater than toledo.
Step-by-step explanation:
13) From the table, the population of toledo is 350,000 in 1980 and 330000 in 1990.
Thus,population change from 1980 to 1990 is; 350000 - 330000 = 20000
Similarly, from 1990 to 2000, population went from 330000 to 310000. Change in population is; 330000 - 310000 = 20000
In both cases we see that in 10 years interval, the change is 20000 each.. Thus, for 1 year, change in population = 20000/10 = 2000 per year
14) The population of toledo after 1980 can be expressed using arithmetic progression. Formula is;
a_n = a + (n - 1)d
Where;
a is population in 1980
n is number of years after 1980
d is change in population per year.
Since the population decreases each year, then d will be negative. Thus;
Thus;. a_n = 350000 - 2000(n - 1)
15)From the table, the population of lexington is 200,000 in 1980 and 230000 in 1990.
Thus,population change from 1980 to 1990 is; 230000 - 200000 = 30000
Similarly, from 1990 to 2000, population went from 230000 to 260000. Change in population is; 260000 - 230000 = 30000
In both cases we see that in 10 years interval, the change is 30000 each.. Thus, for 1 year, change in population = 30000/10 = 3000 per year
16) like earlier stated The population of Lexington after 1980 can be expressed using arithmetic progression. Formula is;
a_n = a + (n - 1)d
Where;
a is population in 1980
n is number of years after 1980
d is change in population per year.
a_n = 200000 + 3000(n - 1)
17) we want to find the years in which the population of Lexington will be more than that of toledo.
This simply means the inequality is;
200000 + 3000(n - 1) > 350000 - 2000(n - 1)
Deduct 200000 from both sides;
200000 - 200000 + 3000(n - 1) > 350000 - 200000 - 2000(n - 1)
3000(n - 1) > 150000 - 2000(n - 1)
Add 2000(n - 1) to both sides to get;
3000(n - 1) + 2000(n - 1) > 150000
3000n - 3000 + 2000n - 2000 > 150000
5000n - 5000 > 150000
5000n > 150000 + 5000
5000n > 155000
n > 155000/5000
n > 31
Thus,when when the number of years is more than 31 years, Lexington's population will be greater than toledo.
A. 44
B. 112
C. 32
D. 35
Answer:
A. 44
Step-by-step explanation:
The area of a trapezoid is [tex]\frac{b_1+b_2}{2} * h[/tex], where b_1 and b_2 are the top and bottom bases, and h = height. We are given the bases as 8 and 14, and the height as 4.
[tex]\frac{8+14}{2} *4[/tex] [tex]\frac{22}{2} *4[/tex] [tex]11*4[/tex] [tex]44[/tex]Therefore, the answer is A. 44.
A linear function can be used to estimate the decrease in snowfall measured since 1920 the decrease in the annual snowfall has been an average of 0.24 in per year let X represent the number of years since 1920 when the measurements began and let y represent the annual snowfall the initial measurement in 1920 was 48.6 in using the average change and initial measurement which is the best estimate of the annual snowfall and the 78th year after records were kept round to the nearest hundredth of a 15.84 in B 27.72 in C 29.88 in D 67.32 in
Answer:
C- 29.88
Step-by-step explanation:
i did it on the edge test
Explain how this graph demonstrates how the equation y = mx can be derived from the two points (1, m) and (x, y).
The equation y = mx of the graph is a linear equation
The linear equation that demonstrates the relationship on the graph is y = mx
How to determine the equation from the graphThe points on the graph are given as:
(1, m) and (x, y)
Start by calculating the slope (M)
[tex]M = \frac{y_2 -y_1}{x_2 -x_1}[/tex]
So, we have:
[tex]M = \frac{y - m}{x - 1}[/tex]
The linear equation is then calculated as:
[tex]y = M(x - x_1) + y_1[/tex]
This gives
[tex]y = \frac{y - m}{x- 1}(x - 0) + 0[/tex]
[tex]y = \frac{y - m}{x- 1}(x)[/tex]
Cross multiply
[tex]yx-y = yx - mx[/tex]
Evaluate the common terms
[tex]-y =- mx[/tex]
Divide both sides by -1
y = mx
Hence, the equation of the graph is y = mx
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Answer:
x < -14
Step-by-step explanation:
Step 1: Subtract 6 from both sides.
[tex]-3x+6-6 > 48-6[/tex] [tex]-3x > 42[/tex]Step 2: Divide both sides by -3 and flip the inequality sign.
[tex]-3x/-3 > 42/-3[/tex] [tex]x < -14[/tex]Therefore, the answer is x < -14.
Isolate the variable by dividing each side by factors that don't contain the variable.
Inequality Form:
x<−14
Interval Notation:
(−∞,−14)
hope this helps
Complete the proof. Given LM¯¯¯¯¯¯¯¯¯≅JK¯¯¯¯¯¯¯¯, MJ¯¯¯¯¯¯¯¯≅KL¯¯¯¯¯¯¯¯ Prove △LMJ≅△JKL
Here is the proof :-
LM=JKMJ=KLSo
Adjacent angle is also equal
<LMJ=<JKLHence
∆LMJ=∆JKL(SAS)Question Help
The table shows median annual earnings for women and men with various levels of education. Assuming the difference in the table remains constant over a 40-year
career, approximately how much more does a man with a bachelor's degree earn than a man with a high school education?
High
School
Associate's Bachelor's Professional
Only
degree Only degree Only Degree
Women $21,513 $39,520 $49,577 $80,335
Men $40,460 $50,792 $66,245 $119,119
A man with a bachelor's degree earns more than a man with a high school education over a 40-year career. ws
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Answer:
$1,031,400
Step-by-step explanation:
A man with a high-school education earns $40,460 per year. A man with a bachelor's degree earns $66,245. The difference between these salaries is ...
$66,245 - 40,460 = $27,785 . . . per year
Then in 40 years, the difference in earnings comes to ...
(40 yr)($27,785/yr) = $1,031,400
A man with a bachelor's degree earns $1,031,400 more than a man with a high-school education over a 40-year career.
The slope of the line parallel to the given line is
A point on the line parallel to the given line, passing through (4,2) is
The slope of the line perpendicular to the given line is
A point on the line perpendicular to the given line, passing through (-4, 2), is
Answer: 1/2
0,4
-2
-2,-2
Step-by-step explanation: took the lesson
Let f(x) = 3 * sqrt(x) + 7. Define g$to be the inverse of f.
What is the value of g(g(f(f(f(36)))))?
By using the definition of inverse functions, we will see that:
g(g(f(f(f(36))))) = f(36) = 25.
What are inverse functions?Two functions f(x) and g(x) are inverses if:
f( g(x) ) = x
g( f(x) ) = x
Then we can rewrite:
g(g(f(f(f(36)))))
First, we can see that:
g(f(f(f(36)))) = f(f(36))
Replacing that in our expression, we get:
g(g(f(f(f36))))) = g(f(f(36)))
And the above expression is equal to f(36), to be sure of that, let's replace:
u = f(36)
Then we can rewrite:
g(f(f(36))) = g(f(u))
And by definition, the above thing is equal to u:
g(f(u)) = u = f(36).
Finally, we conclude that:
g(g(f(f(f(36))))) = f(36) = 3*√36 + 7 = 3*6 + 7 = 25
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Which is the graph of the linear inequalityx-2y> -6?
Answer:
4th graph (in bottom right corner)
Step-by-step explanation:
First, convert the given equation into slope-intercept form.
Given :-
1/2x - 2y > -6
-2y > -1/2x - 6
2y < 1/2x + 6
y < 1/4x + 3
As the < sign indicates, the line will be dotted and the solution set will be towards the origin in this case.
The correct option is the 4th graph (in bottom right corner)