Find the total area of the figure. It is _______ square inches.
Answer:
1100 square inches
Step-by-step explanation:
Formula: LxW
Smallest rectangles area: 5*20=100= 1 rectangle
there are 2 smal rectangles so= 100*2=200
Medium rectangles area: 5*30=150
There are 2 so= 150*2= 300
Biggest rectangle: 30*20= 600
Total Area: 200+300+600= 1100 square inches
Given that p + q = 12 and p² - q² = 60, find the value of p - q.
Answer:
p - q = 5
Step-by-step explanation:
You have p+q = 12 and p²-q² = 60. You want the value of p-q.
Difference of squaresThe difference of squares is factored as ...
p² -q² = (p +q)(p -q)
Substituting given values, this becomes ...
60 = 12(p -q)
Dividing by 12 gives the difference of interest:
5 = p -q
What is the amplitude of the graph below
The amplitude is 3
for a sine graph, the amplitude is the distance up or down from the midway point. The equation to find the amplitude is (max-min) / 2.
(3 - (-3)) / 2 = 3
What is 8x-2y=6 is slop-intercept form
Answer:
y= 4x -3
Step-by-step explanation:
1) add -8x at both members
8x - 2y - 8x = 6 - 8x
-2y = -8x + 6
2) divide both members by -2
y = 4x -3
Which conic section has the most lines of symmetry?
A. Ellipse
B. Circle
C. Parabola
D. Hyperbola
thank you!!!!!!
The answer is:
⇨ B. circle
Work/explanation:
Here's the shape that has the most lines of symmetry :
B. circle
∵
A circle has infinite lines of symmetry.
Hence, the answer is b.if team a is the underdog in playing team b and has probability 1/3 of winning every game it plays against team b. what is the probability that it wins the best-of-five series over team b?
The probability that Team A wins the best-of-five series over Team B is 17/81.
To determine the probability that Team A wins the best-of-five series against Team B, we need to consider the different possible outcomes. Team A can win the series by winning 3 games or 4 games or 5 games.
The probability of winning exactly 3 games out of 5 can be calculated using the binomial probability formula:
P(X = k) = C(n, k) * p^k * (1-p)^(n-k)
where n is the total number of games (5 in this case), k is the number of games won (3 in this case), and p is the probability of winning a single game (1/3).
Using this formula, we can calculate the probability of winning 3 games, 4 games, and 5 games, and then add them together to get the overall probability of winning the series.
P(Winning series) = P(X = 3) + P(X = 4) + P(X = 5)
= C(5, 3) * \((1/3)^3\)* \((2/3)^2\)+ C(5, 4) *\((1/3)^4\) * (2/3) + C(5, 5) * \((1/3)^5\)
= (10 * 1/27 * 4/9) + (5 * 1/81 * 2/3) + (1 * 1/243)
= 40/243 + 10/243 + 1/243
= 51/243
= 17/81
Therefore, the probability that Team A wins the best-of-five series over Team B is 17/81.
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In 10 minutes a heart can beat 700 times.At this rate in how many minutes will a heart beat 140 times? AT what rate can a heart beat
Answer:
2 minutes
Step-by-step explanation:
700/10 = 70
1 minute = 70 times
140/70 = 2 minutes
Answer:
2 minutes
Step-by-step explanation:
The heart beats 70 times per minute so 70+70=140.
need help solving #8
Answer:
7)\(2^x=2^8x-15\)
Apply exponents rules
\(x=8x-15\)
Solve \(x=8x-15: x=\frac{15}{7} \\\)
Answer: \(x=\frac{15}{7} \\\)
8)\(4^x=2^x+1\\2x=x+1\\x=1\)
Answer : \(x=1\)
9)\(5^x+3=7^x\\(x+3) in (5)=xln(7)\\x=\frac{3ln(5)}{in(7)-in(5)}\)
Answer: \(x=\frac{3ln(5)}{in(7) -in(5)}\)
Step-by-step explanation:
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ly| ≤3
Are the lines on graph at 3 and -3 also part of the answer?
Answer:
Yes, the lines on the graph at 3 and -3 a part of the solution,
Step-by-step explanation:
The inequality \(|y| \leq 3\) contains all the values of \(y\) 3 units from the origin including the values 3 and -3.
Thus, the lines on the graph y =-3 and y = 3 are the part of the solution.
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One of the stamps in Evelyn's stamp collection is 19.51 mm wide and 24.4 mm long.
How much longer is the length of the stamp than the width of the stamp?
Enter your answer in the box.
(This is box shh its box) |____|
mickey mantle played for the new york yankees for 18 years from 1951 to 1968. year by year he hit the following numbers of home runs: 13, 23, 21, 27, 37, 52, 34, 42, 31, 40, 54, 30, 15, 35, 19, 23, 22, 18. we represent these as a vector x in r by making the following assignmemt:
The sample mean of z = 247-925
Given Data:
13, 23, 21, 27, 37, 52, 34, 42, 31, 40, 54, 30, 15, 35, 19, 23, 22, 18.
Mickey Mantle played for the New York Yankees for 18 years, from 1951 to 1988. The average annual number of home runs he hit was as follows:
X < - C ( 13, 23, 21, 27, 37, 52, 34, 42, 31, 40, 54, 30, 15, 35, 19, 23, 22, 18)
Y < - Cumsum (X)
Y
13, 23, 21, 27, 37, 52, 34, 42, 31, 40, 54, 30, 15, 35, 19, 23, 22, 18
> W < - 714 - Y
> W
Y
13, 36, 57, 84, 121, 173, 207, 249, 280, 320, 374, 404, 419, 454, 473, 496, 518, 536
> W < - 714 - Y
> W
701, 678, 657, 630, 593, 541, 507, 465, 434, 394, 340, 310, 295, 260, 241, 218, 196, 178
> Z < - C (X, Y, W)
>Z
13, 23, 21, 27, 37, 52, 34, 42, 31, 40, 54, 30, 15, 35, 19, 23, 22, 18
13, 36, 57, 84, 121, 173, 207, 249, 280, 320, 374, 404, 419, 454, 473, 496, 518, 536
701, 678, 657, 630, 593, 541, 507, 465, 434, 394, 340, 310, 295, 260, 241, 218, 196, 178
a) Z's minimal value = 13
b) Sum of the element's squares in Z = 5853370
c) Z's sample mean = 247.9259
d) The variation of z in samples (variance) = 478133.92
e) Z's Standard Deviation = 218.6639
f) W's 18th element = 178
g) X's Sample Variance = 142.6536
h) The sample variance of 5x = 3566.34
i) Length of elements in 5x = 18
j) The unique (different) values are in Z = 52
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Compare A and B, if 120 % of A is equal to 150 and 105 % of B is equal to 165.
A....B
The comparison between A and B is as follows:A < B.
We are given that:120 % of A is equal to 150 => (120/100)A = 150
Divide both sides by 120/100: A = 150 × 100/120 = 125
And, 105 % of B is equal to 165 => (105/100)B = 165
Divide both sides by 105/100: B = 165 × 100/105 = 157.14
Therefore, A = 125 and B = 157.14
Compare A and B:It can be seen that B is greater than A. Therefore, B > A. Hence, the comparison between A and B is as follows:A < B.
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Please no Spam. Please.
ou drive to the store at 20 mph and return by the same route at 30 mph. discounting the time spent at the store, what was your average speed?
The average speed on stated speed for going and return journey is 24 miles per hour.
Average speed = total distance travelled/time taken
Let us assume the distance between store and starting point is d.
Total distance travelled = d + d
Total distance = 2d
Time while going = d/20
Time while returning = d/30
Keep the values in formula
Average speed = 2d/(d/20 + d/30)
Simplify denominator
Average speed = 2d/(30d + 20d/600)
Rearrange the values
Average speed = 2d × 600/50d
Cancel d and multiply
Average speed = 1200/50
Performing division
Average speed = 24 mph
Hence, the average speed is 24 mph.
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????? ????? ????? ????? ???? ??
Solution:
We know that:
The base angles are equivalent.This means that:
This triangle is an isosceles triangle.The legs of the triangle are equivalent.Let's use Pythagoras theorem to find z.
Finding z using Pythagoras theorem.
\((8\sqrt{x} )^{2} = z^{2} + z^{2}\)⇒ \((8\sqrt{x} )( 8\sqrt{x} ) = 2z^{2}\)⇒ \((8)(8)(2)= 2z^{2}\)⇒ \((8)(8)= z^{2}\)⇒ \(64= z^{2}\)⇒ \(\sqrt{64} = \sqrt{z^{2}}\)⇒ \(8 = z\)Thus, the value of z is 8.
HELPPPPPPPPPPPPPPPPPPPPPP
Answer:
a) Class D - lowest variability/range
b) Class C - highest average/mean
Hope this helps!
The area of the shaded sector is shown.
Answer:
3.99
Step-by-step explanation:
The total sum of central angle of circle is 360 which mean the area of the circle = (12.36 x 360)/89
A=πr^2
=> (12.36 x 360)/89 = 3.14(r^2)
r^2 = 15.92
r = 3.99
Which of the following is most likely the next step in the series?
Answer:
The Answer is D.
Step-by-step explanation:
It's all about pattern, you just need to conceived and organize what is the color provided.
The Above Contour Map Is Given For A Function F(X,Y). Use It To Estimate The Value Of The Partial Derivatives Fx(2, 1) And Fy(2, 1).
We may deduce from the contour map that the estimates of the given functions are;
fx(2, 1) = 10
fy(2, 1) = 3
What exactly does the term "counter map" mean?The geographic mapping used as a form of activism against prevailing power systems is known as counter-mapping.
How Do You Interpret Contour Lines on a Map?Contour lines are described as the faint lines drawn on a map that link places of equal height above sea level. This indicates that even if you followed a contour line physically, the elevation (height of the land) would stay constant.
According to the contour map, the contour lines indicate that the coordinate (2, 1) in the x-direction has a value of 10.
Therefore; fx(2, 1) = 10
Using the same idea, we can deduce from the attached contour map that the coordinate (2, 1) in the y-direction will have a value between 0 and 6. Therefore;
Average = (0 + 6) divided by 2 = 3
Thus; fy(2, 1) = 3
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X-3/18=12/9 solve for x
Answer:
X= 3/2
Step-by-step explanation:
hope this helps
true/false: the this pointer is automatically passed to static member functions of a class.
The given statement "The this pointer is not automatically passed to static member functions of a class." is false as static member functions can be called without creating an object of the class, and the "this" pointer is used to refer to the current instance of the class. Since no instance is required for static member functions, the "this" pointer is not applicable in this case.
In object-oriented programming, a class is a blueprint for creating objects, and member functions are functions defined within a class that can be called on objects of that class.
Static member functions, also known as class methods, are special member functions that are associated with the class itself rather than any specific object or instance of the class. They are declared using the "static" keyword.
Since static member functions do not operate on specific instances of the class, they do not have access to the "this" pointer. The "this" pointer is a hidden pointer that points to the current object instance, allowing non-static member functions to access the data members and other member functions of the object. However, static member functions do not have this pointer because they are not tied to any specific object.
Static member functions can only access static members of the class, which include static variables and other static member functions. They can be called using the class name itself, without creating an instance of the class. This is because they are not associated with any particular object but rather with the class as a whole.
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Here is a list of numbers: 7, 19, 3, 18, 15, 3, 14 ,20 ,2 ,12 State the median.
Answer:
13.
Step-by-step explanation:
2, 3, 3, 7, 12, 14, 15, 18, 19, 20
3,3,7,12,14,15,18,19
3,7,12,14,15,18
7,12,14,15
12,14
^ Mean: 13
Uhh it's easy, did you really pay attention at ALL during the lesson. Literally don't judge on here but really!!!?
Can someone please help me this?
Answer:
Yes
Step-by-step explanation:
We can make one equation other to the other to solve for x-value first;
=> -4x = x - 5
=> -4x + (-x) = -5
=> -5x = -5
=> x = -5/-5
=> x = 1
Once we have the x-value we can substitute it in for "x" in any equation to find the y-value;
=> y = x - 5
=> y = (1) - 5
=> y = -4
Writing the answer coordinate points would look like (x, y) which would be (1, -4) which is similar to the give, there for yes the solution to the equations is the given coordinate.
Hope this helps!
Determine whether each ordered pair is a solution or not a solution to this system of inequalities.
y< −x
2x+y>2
The ordered pair that is the solution of the given system of inequalities is (2, -2)
What is inequality?A relationship between two expressions or values that are not equal to each other is called inequality.
Given is a system of inequalities, y < -x and 2x+y > 2, we need to determine solution set of the given system of inequalities,
The inequalities are,
y < -x....(i)
2x+y > 2
y < 2-2x...(ii)
To find the ordered pair, put y = -x in equation Eq(ii) and replace < by =
-x = 2 - 2x
x = 2
y = -2
Therefore, the ordered pair, is (2, -2) {look at the graph attached}
Hence, the ordered pair that is the solution of the given system of inequalities is (2, -2)
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The box plots display the data from Item 1.
Complete: The box plots show that ____% of the people at Movie A are younger than the youngest person at Movie B.
The box plots display the data from Item 1.
The box plots show that a certain percentage of the data from Item 1 indicates that the people at Movie A are younger than the youngest person at Movie B. Without knowing the actual data, it is not possible to provide a specific percentage.
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Find the surface area of the pyramid. The side lengths of the base are equal.
there are 3 sides and a bottom
the base is 12 and the height is 17
Help me asap! I will give you marks
Recall the binomial theorem.
\((a+b)^n = \displaystyle \sum_{k=0}^n \binom nk a^{n-k} b^k\)
1. The binomial expansion of \(\left(1+\frac x3\right)^7\) is
\(\left(1 + \dfrac x3\right)^7 = \displaystyle\sum_{k=0}^7 \binom 7k 1^{7-k} \left(\frac x3\right)^k = \sum_{k=0}^7 \binom 7k \frac{x^k}{3^k}\)
Observe that
\(k = 1 \implies \dbinom 71 \left(\dfrac x3\right)^1 = \dfrac73 x\)
\(k = 2 \implies \dbinom 72 \left(\dfrac x3\right)^2 = \dfrac73 x^2\)
When we multiply these by \(8-9x\),
• \(8\) and \(\frac73 x^2\) combine to make \(\frac{56}3 x^2\)
• \(-9x\) and \(\frac73 x\) combine to make \(-\frac{63}3 x^2 = -21x^2\)
and the sum of these terms is
\(\dfrac{56}3 x^2 - 21x^2 = \boxed{-\dfrac73 x^2}\)
2. The binomial expansion is
\(\left(2a - \dfrac b2\right)^8 = \displaystyle \sum_{k=0}^8 \binom 8k (2a)^{8-k} \left(-\frac b2\right)^k = \sum_{k=0}^8 \binom 8k 2^{8-2k} a^{8-k} b^k\)
We get the \(a^6b^2\) term when \(k=2\) :
\(k=2 \implies \dbinom 82 2^{8-2\cdot2} a^{8-2} b^2 = 28 \cdot2^4 a^6 b^2 = \boxed{448} \, a^6b^2\)
PLS help with this question... I got a practice test today...
PLS reply ASAP..
The expressions with the options that will give 4^-12 are
A, C, and DHow to find the expressions that are equal 4^-12The expression is an exponent of negative integer. The options are simplified further to their simplest forms as shown below
A. 4^-10 * 4^-2
The equation is multiplied to give a result of 4^-12
B. (1/4^-3)^4
= (4^3)^4
= 4^12
C. (4^-16)^4
= 4^(-16+4)
= 4^-12
D. 4^3 / 4^15
= 4^(3 - 15)
= 4^-12
E. (4^-7 * 4^-2) / 4^3
= 4^(-7 + (-2) + 3)
= 4^6
Hence the expression that will result to 4^-12 are A, C, and D
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Peta ha row of bean plant in her garden. Three row have 4 bean plant each. One more row ha 5 bean plant. Can you draw an array to repreent Peta' garden? Explain your reaoning
Yes, I can depict Peta's garden in an array amount . The array will consist of four rows and four columns, with the final row having five columns to signify the additional bean plant. This will serve as a visual depiction of how many beans Peta has growing in her garden.
Yes, I can depict Peta's garden in an array. The array will serve as a graphic indication of how many bean plants Peta has growing in her yard. It will have 4 rows and 4 columns, with the final row having 5 columns to signify the additional bean plant. This will make it simple for us to see and comprehend how many bean plants are in each row. Additionally, it will give a clearer idea of the garden's design and organisation. This kind of array can be used to represent a variety of various patterns, including shapes and numbers, and can be used to visually describe and comprehend data. The bean plants in Peta's yard can be effectively represented by this arrangement.
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20 POints!!!
PLSSSSSSS
Answer: ab = 3a + 2b + c subtract 3a from both sides. ab - 3a = 2b + c factor the left side. a (b - 3) = 2b + c divide both sides by ( b - 3).
sorry but only one for then second screenshot :/
Hope this helps! :)