Answers
Answer:
→ -9
Step-by-step explanation:
Solution,
\(\hookrightarrow x+69=60[Alternate\:angles\:are\:equal]\\\\\hookrightarrow x=60-69=-9\)
Related Questions
plzzzzzzzzzzzzzz fasstttttttttttttttttttttttttttttttt i neeeeeeeeeeeeeeeeeeeded
Answers
Answer:
See bolded below.
Step-by-step explanation:
Attachment 1 : The sum of all exterior angles in any regular polygon will be 360 degrees, so if an exterior angle is found to be 30 degrees, it will have 360 / 30 sides. Therefore 360 / 30 = 12 sides
Attachment 2 : This figure is a concave quadrilateral. You can tell by it's shape, but also as one interior angle, in this case ∠KLM, is greater than 180 degrees.
Attachment 3 : As you can see the missing number is simply sum of the numbers provided on the left. Therefore the missing number will be the following,
1³ + 2³ + 3³ + 4³ + 5³ = 1 + 8 + 27 + 64 + 125
= 125
Attachment 4 : This is an example of the associative property, as it allows you to re - group the numbers. Your solution will be " Associativity. "
Attachment 5 : The cube of a negative integer will always result in a negative integer. Let's take - 3 as an example,
(- 3)³ = - 3 \(*\) - 3 \(*\) - 3 = 9 \(*\) - 3 = - 27
ILL GIVE BRAINLIEST. plsss help asap
Answers
Answer:
first one
Step-by-step explanation:
Answer:
It will be the first answer, Both balls will at the same rate
if x=2,y=3 and z=4
calculate the value of the following
3yz
xy
Answers
If x = 2, y = 3 and z = 4 then the value of ;
1. 3yz = 36
2. xy = 6
What is substitution of variable?Substitution means replacing a particular variable with another term, either a constant or another variable. For example, if x = 2 and y = 1
3x²+y² will be calculated by replacing 2 for x and 1 for y in the expression.
Similarly;
if x = 2 , y = 3 and z = 4
then;
3yz = 3 × 3 × 4
= 9× 4
= 36
and xy = 2 × 3
= 6
therefore the value of 3yz and xy are 36 and 6; respectively.
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how many significant figures are there in the number 1.032
Answers
There are four significant figures in the number 1.032.
Significant figures are the digits in a number that carry meaningful information about its precision. To determine the significant figures in a number, follow these rules:
Non-zero digits are always significant. In this case, the digits 1, 0, 3, and 2 are non-zero.
Zeroes between non-zero digits are significant. In this case, the zero between 1 and 3 is significant.
Leading zeroes (zeros before the first non-zero digit) are not significant. In this case, there are no leading zeroes.
Trailing zeroes (zeros after the last non-zero digit) are significant only if there is a decimal point present. In this case, there is a trailing zero after the 2, and since there is a decimal point, it is significant.
By applying these rules, we find that the number 1.032 has four significant figures.
The number 1.032 has four significant figures.
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compute |u x v| if u and v are unit vectors and the angle between them is π 4.
Answers
Answer:
Step-by-step explanation:
To compute the magnitude of the cross product |u x v|, we need to know the values of u and v. However, you mentioned that u and v are unit vectors, which means their magnitudes are both equal to 1.
The magnitude of the cross product between two vectors u and v is given by |u x v| = |u| * |v| * sin(theta), where theta is the angle between the two vectors.
In this case, since u and v are unit vectors, their magnitudes are both equal to 1. Additionally, you mentioned that the angle between u and v is π/4.
Therefore, |u x v| = 1 * 1 * sin(π/4) = 1 * 1 * (√2/2) = √2/2.
Hence, the magnitude of the cross product |u x v| is equal to √2/2.
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Cohen is a rational expected utility maximiser. You are given the following information about his preferences over the lotteries L 1
=((1/10,G),(3/10,W),(6/10,R))∼((3/10,G),(5/10,W),(2/10,R))=L 2
where G is a glass of Gin, W is a glass of Whisky and R is a glass of Rum. (Note (G,W,R) is not necessarily the order of preference). (a) Explain why there is not enough information to determine whether Cohen prefers a glass of Gin to a glass of Whisky. (b) If you are also told that Cohen prefers Rum to Gin, R≻G then what can you say about his preferences over L 1
and L 3
and therefore L 2
and L 3
where L 3
=((3/10,G),(3/10,W),(4/10,R)) Show that this implies W≻R and therefore W≻G. Also, show that if G≻R then R≻W and G≻W. (c) Construct a VNM utility function to represent his preferences in the case where W≻G. 2 You are now given the following additional information about his preferences, W≻G when he is happy and G≻W when he is depressed. (d) Explain why a VNM utility function over G,W and R cannot be used to represent his preferences. How would you model his preferences?
Answers
a) There is not enough information b) We can conclude that W≻R and W≻G. c) The probabilities p(G), p(W), and p(R) are the probabilities of getting each drink in the lottery L. d) The decision would be whether to drink Whisky or Gin.
(a) There is not enough information to determine whether Cohen prefers a glass of Gin to a glass of Whisky because the lotteries L1 and L2 are indifferent. This means that Cohen is equally likely to prefer one lottery to the other. In other words, his utility for Gin is equal to his utility for Whisky.
(b) If we are also told that Cohen prefers Rum to Gin, R≻G, then we can say that he prefers L3 to L1 and L2. This is because L3 has a higher probability of giving him his most preferred drink, Rum, than either L1 or L2. Therefore, we can conclude that W≻R and W≻G.
If G≻R, then we would have L1≻L3 and L2≻L3. This is because L1 and L2 have a higher probability of giving him his most preferred drink, Gin, than L3. However, we know that L3≻L1 and L3≻L2, so this is a contradiction. Therefore, G≻R cannot be true.
(c) A VNM utility function is a function that represents a person's preferences over lotteries. It takes as input a lottery and outputs a real number that represents the person's utility for that lottery. In the case where W≻G, a VNM utility function for Cohen would be of the form:
u(L) = w * p(G) + g * p(W) + r * p(R)
where w is Cohen's utility for Whisky, g is his utility for Gin, and r is his utility for Rum. The probabilities p(G), p(W), and p(R) are the probabilities of getting each drink in the lottery L.
(d) A VNM utility function cannot be used to represent Cohen's preferences because his preferences are not stable. In other words, his preferences change depending on his mood. When he is happy, he prefers Whisky to Gin. But when he is depressed, he prefers Gin to Whisky. This means that his utility for Gin and Whisky cannot be represented by a single number.
To model Cohen's preferences, we would need to use a more complex model that takes into account his mood. One possible model would be a Markov decision process. A Markov decision process is a model that describes how a person's preferences change over time. It takes as input the person's current mood and outputs a decision about what to do.
In the case of Cohen, the decision would be whether to drink Whisky or Gin. The person's mood would be represented by a state variable. The state variable would take on one of two values: happy or depressed. The transition probabilities would describe how likely it is for the person's mood to change from one state to the other. The reward function would describe how much utility the person gets from drinking each drink.
This model would allow us to capture the fact that Cohen's preferences change depending on his mood. It would also allow us to make predictions about how he would behave in different situations.
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32. Solve the equation and check your solution: 3(x + 6) = 18 + 3x
Answers
Answer:
4
Step-by-step explanation:
18 = 3x + 6
18 - 6 = 3x
12=3x
12/3 = x
4 = x
Hope this helped, please mark the brainliest if it did! I put a lot of effort into my answers
3(6x) = 18 + 3x
18x = 18 + 3x
15x/15 = 18/15
x = 6/5
Answer: x = 6/5
In gym class, the students are going to design and build obstacles for an upcoming field day. Before they can start building, each student has to submit a two-dimensional scale drawing of the obstacle they want to build. Barbara's drawing of her obstacle is shown below.
Note: Figure not drawn to scale.
In Barbara's drawing, the obstacle has a total area of______ square feet.
This obstacle will have a width of 4 feet. The volume of the obstacle is____cubic feet.
Answers
The obstacle has a total area of 69 square feet and a volume of 276 cubic feet.
The total area of the obstacleTo determine the total area, we calculate and add up the area of each shape.
The shapes in the figure are:
Triangle: Base = 1, Height = 6Triangle: Base = 5, Height = 8Square: Length = 2Rectangle: Length = 7; Width = 6Using the area formula of each shape, the total area is:
Total = 0.5 * 1 * 6 + 0.5 * 5 * 8 + 2 * 2 + 7 * 6
Evaluate
Total = 69
Hence, the obstacle has a total area of 69 square feet.
The volume of the obstacleThis is calculated as:
Volume = Base area * Height
The height is 4.
So, we have:
Volume = 69 * 4
Evaluate
Volume = 276
Hence, the obstacle has a volume of 276 cubic feet.
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Answers
Answer:
a) ∠XWY = 53°
b) ∠XZY = 106°
Step-by-step explanation:
The relationship between the central angle and the arc length is that they're equal. So, if arc XY = 106° this means that ∠XZY = 106°.
The relationship between the central angle ∠XZY and the inscribed angle ∠XWY is that the inscribed angle is half the value of the central one.
So, ∠XWY= ∠XZY/2 = 106/2 = 53
Results:
∠XWY = 53°
∠XZY = 106°
Find the area of the trapezoids
Answers
Answer:
48 square units
Step-by-step explanation:
Each square on the grid is 2 units by 2 units.
Bases: AT = 8; RS = 4
Height: 8
area = (b1 + b2)h/2
area = (8 + 4)(8)/2
area = 48 square units
Answer:
The area of trapezoid is 48 sq units.
Step-by-step explanation:
According to the question,
➻ Trapezoid is consist of many square shapes. Each grid square equals 2 units. We need to find the area of trapezoid.
➻ To find area we need to find the length if base and height of trapezoid.
Calculate the square grids to find base and height. we get.
Base ; SR = 4 units and TA = 8units
Height = 8 units.
Finding the area of trapezoid.
We know that,
Area of trapezoid = ( Base1 + Base2 ) ×Height / 2
plug the values of both base and a height.
Area of trapezoid = ( 4 + 8 ) × 8 / 2
Add the numbers which are in bracket and multiply by 8.
Area of trapezoid = 12 × 8 / 2 = 96/2
Divide 96 by 2.
Area of trapezoid = 48 sq units.
Hence,
The area of trapezoid is 48 sq units.
(Zoom in) I’m just typing cause it needs to b 20 characters long.
Answers
Answer:
C.Step-by-step explanation:
ABC is congruent to GEF. The transformation made was reflecting over the origin.
I'm always happy to help :)A spherical boulder is 20 feet in diameter and weight almost 8 tons.Find its volume.Use 3.14 for T round to the nearest whole number.
Answers
Answer:
4187 ft³
Step-by-step explanation:
\(\frac{4}{3}\)πr³
π = 3.14
r = radius
the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.
A radius is half of the diameter
diameter = 2r
Radius = 20 / 2 = 10 feet
(4/3) x 3.14 x 10³ = 4187 ft³
ITS URGENT!!
HELP ME PLZ!!!
Angle ABC and Angle DBC are adjacent angles.
What equation must always be TRUE?*
A. Angle ABC = Angle DBC
B.Angle ABC + Angle DBC = 90°
C.Angle ABC + Angle DBC = 180°
D. Angle ABC + Angle DBC = Angle ABD
Answers
......
Plot StartRoot 1. 5 EndRoot and StartRoot 1. 9 EndRoot on the number line to find which inequalities are true. Check all that apply. StartRoot 1. 5 EndRoot < 1. 5 StartRoot 1. 9 EndRoot < 1. 9 StartRoot 1. 5 EndRoot < StartRoot 1. 9 EndRoot 1. 2 > StartRoot 1. 5 EndRoot > 1. 3 1. 3 < StartRoot 1. 9 EndRoot < 1. 4.
Answers
Answer:
√1.5 < 1.5√1.9 < 1.9√1.5 < √1.91.3 < √1.9 < 1.4Step-by-step explanation:
The above relations are true.
__
The relation 1.2 > √1.5 > 1.3 is false without even considering the value of √1.5, because 1.2 is not greater than 1.3.
You have to know the meanings of the symbols:
A < B ⇔ A is less than B
C > D ⇔ C is greater than D
If 8=4^n then what the value of n
Answers
Answer: the value of n = 1.5
Step by Step Solution: to figure this out, you can just substitute the number in for the variable and solve. hope this helps
To solve 2x=8 you need to divide by what number?
PLEASEEEE HELP
Answers
Answer:
divide by 2
Step-by-step explanation:
to find x you must divide 8 by 2.
Answer:
you divide 8 by 2
Step-by-step explanation:
To isolate the variable, x you need to divide by 2 on both sides so it cancels out the 2 on 2x and will divide 8 by 2=4
Find the area of the circle below round to the nearest tenth
Answers
Remember that
the area of the circle is
A=pi*(r^2)
we have
r=9.2/2=4.6 m ------> the radius is half the diameter
substitute
A=pi*(4.6^2)
using a calculator
(Note: the value of pi is the value that appear in the calculator)
A=66.5 m2Which of the following is the equation of a line in slope-intercept form for a
line with slope = 1 and y-intercept at (0, -4)?
O A x=y-4
O B. y=-x-4
O C. y=-**-4
O D. y=-x+4
Answers
The equation of a line in slope-intercept form is y = mx + b, where m is the slope of the line and b is the y-intercept.
Given the slope m = 1 and the y-intercept (0, -4), the correct equation in slope-intercept form is D. y = -x + 4. The slope of the line is positive 1, which means that as x increases by 1, y also increases by 1. The y-intercept is -4, which means that the line crosses the y-axis at (0, -4).
To find the equation of a line in slope-intercept form, you need to know the slope and the y-intercept of the line. The slope represents how steep the line is, while the y-intercept represents where the line crosses the y-axis. Once you have these two pieces of information, you can plug them into the slope-intercept form equation to find the equation of the line. In this case, the equation is y = -x + 4.
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Evaluate The Polynomial Function For The Given Values Of The Variable. P(W)=6w2−20w+2; Find P(6) And P(0) P(6)=349
Answers
The value of P(0) and P(6) of The Polynomial Function above are 2 and 253/2 respectively.
Polynomial function refers to the algebraic expression that consists of several terms.
Polynomial function can be of different degrees, like linear polynomial (degree 1), quadratic polynomial (degree 2), cubic polynomial (degree 3), and so on.
The given polynomial function is P(w) = 6w² - 20w + 2.
To find P(6), substitute w = 6 in P(w).
Therefore,P(6) = 6(6)² - 20(6) + 2P(6) = 6(36) - 120 + 2P(6) = 216 - 120 + 2P(6) = 96
Adding P(6) = 349 to this equation, we get:2P(6) = 349 - 96 = 253
Therefore, P(6) = 253/2
Now, to find P(0), substitute w = 0 in P(w).
Therefore, P(0) = 6(0)² - 20(0) + 2 = 2
Therefore, P(0) = 2
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A bag contains 6 red marbles , 6 purple marbles, and 6 yellow marbles. What is the probability of randomly selecting a yellow marble from the bag?
Answers
Answer:
1/3
Step-by-step explanation:
each color takes up 1/3 of the bag
Answer:1/3
Step-by-step explanation:6x6x6=18 divided by 6=3
se the following stem-and-leaf plot of college freshman GPAs to answer questions 9-15.
KEY
Stem: ones digit
Leaf: tenths digit
Example. 0.9 → 0+.9 0.9
Stem Leaf
0
1
2
3
4
.9
.3
.0
.0
.0
.5
.3
.2
.5
.4
.3
9. What is the range?
A. 4.9
B. 4.0
C. 3.1
D 3.0
E 2.1
Answers
Answer: The range is 4.9.
Step-by-step explanation: The range of a set of data is the difference between the largest and smallest values. In this stem-and-leaf plot, the smallest value is 0.3, and the largest value is 4.9.
Therefore, the range is 4.9 - 0.3 = 4.6 which is 4.9 (approx)
So the answer is A. 4.9
the following table shows the probability distribution for the prize amounts that will be awarded at a school raffle. prize $1 $5 $10 $20 $50 probability 0.60 0.30 0.05 0.04 0.01 let the random variable p represent a randomly selected prize amount. what is the expected value of p ? responses
Answers
Let the random variable p represent a randomly selected prize amount the expected value of p is $3.90 by using probability.
Prize $1 $5 $10 $20 $50
Probability 0.60 0.30 0.05 0.04 0.01
It is based on the possible chances of something to happen. The theoretical probability is mainly based on the reasoning behind probability. For example, if a coin is tossed, the theoretical probability of getting a head will be ½.
The expected value is defined as the the sum of each outcome is multiplied by its probability.
p=x1p1+x2p2+x3p3+x4p4
p=1.0.60+5.0.30+10.0.05+20.0.04
p=3.90
Therefore, the correct option is A, i.e. $ 3.90 is the expected value of P.
Three Types of Probability
Classical: (equally probable outcomes) Let S=sample space (set of all possible distinct outcomes).
Relative Frequency Definition.
Subjective Probability.
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A police department used a radar gun to measure the speed of a sample of cars on the highway. Assume that the distribution of speeds is approximately Normal with a mean of 71 mph and a standard deviation of 8 mph. Using this distribution what is the z-score of a 65-mph speed limit?
Answers
Answer:
The z-score of a 65-mph speed limit is -0.75
Step-by-step explanation:
Here, we want to calculate the z-score
To calculate the z-score, we make use of the z-score formula
Mathematically;
z-score =(x-mean)/SD
from the question we identify the values as x = 65 mph, mean = 71 mph, Standard deviation(SD) = 8 mph
Plugging these values into the equation above, we have
z-score = (65-71)/8 = -6/8 = -0.75
The statement "P implies Q' is FALSE under which of the following conditions? Choose all that apply. a. P and Q are both true. b. P and Q are both false. c. P is true and Q is false. d. P is false and Q is true.
Answers
The statement "P implies Q" is false under the following conditions: a) P is true and Q is false, and d) P is false and Q is true.
The statement "P implies Q" can be expressed as "if P, then Q." It is a conditional statement where P is the antecedent (the condition) and Q is the consequent (the result).
To determine when the statement is false, we need to identify cases where P is true but Q is false, or when P is false but Q is true.
Option a) states that both P and Q are true. In this case, the statement "P implies Q" holds true because if P is true, then Q is true.
Option b) states that both P and Q are false. In this case, the statement "P implies Q" is considered true because the antecedent (P) is false.
Option c) states that P is true and Q is false. Under this condition, the statement "P implies Q" is false because when P is true, but Q is false, the implication does not hold.
Option d) states that P is false and Q is true. In this case, the statement "P implies Q" is true because the antecedent (P) is false.
Therefore, the conditions under which the statement "P implies Q" is false are a) P is true and Q is false, and d) P is false and Q is true.
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help me please i need u girl
Answers
Answer:
D 36
Step-by-step explanation:
I checked it and it’s right hope this helps!
Sophia's parents spent $100 for
new school clothes for the family.
Sophia's new outfit cost $35. Her
sister Emma's clothes cost $40. The
rest of the money was spent on their
brother Mason. How much money
did Mason's clothes cost?
Answers
OKAY fine whatever
100 - 75 = $25
Suppose that \( f(x)=h^{-1}(x) \) and that both \( j \) and \( h \) are defined for all values of \( x \). Let \( h(11)=2 \) and \( f(12)=-7 \). Evaluate the following if possible. If it is not possib
Answers
h(2) + j(−7) = −7(1 + j)
Suppose that f(x) = h^−1(x) and that both j and h are defined for all values of x. Let h(11) = 2 and f(12) = −7. We need to evaluate the following. h(2) + j(−7)For finding the value of h(2), we can use f(x) = h^−1(x) where x = h(2)f(h(2)) = 2h(2) = f^−1(2)We need to find h(2). Therefore, we need to find f^−1(2). We know f(12) = −7f(h(2)) = 2⟹ h(2) = −7Substitute h(2) = −7 in h(11) = 2h(11) = h(2 + 9) = h(2) + 9 = 2 + 9 = 11Therefore, h(2) = −7 and h(11) = 2.h(2) + j(−7) = −7 + j(−7) = −7(1 + j)Therefore, h(2) + j(−7) = −7(1 + j).
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the box-and-whisker plot represents the scores earned on a math test.what score represents the third quartile?
Answers
The third quartile in a box-and-whisker plot represents the score below which 75% of the data falls. It is a measure of central tendency.
In a box-and-whisker plot, the third quartile (also known as the upper quartile or Q3) represents the score below which 75% of the data falls. It is a measure of central tendency that indicates the boundary between the highest 25% and the lowest 75% of the scores. To determine the third quartile, follow these steps:
1. Order the scores from smallest to largest.
2. Divide the data into two halves: the lower half and the upper half.
3. Locate the median of the upper half, which is the value where 50% of the data falls above and 50% falls below.
4. This value is the third quartile and represents the score below which 75% of the data falls.
The third quartile provides insights into the performance of students on the math test, indicating the score that is relatively higher than most of the scores achieved.
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Help and hurry please!!
In the 2000 Summer Olympics, Michael Johnson ran the 400-meter race in 43.84 seconds. To the nearest hundredth, what was his speed in meters per second?
a.
9.12 m/s
c.
1.09 m/s
b.
10.96 m/s
d.
91.24 m/s
Please select the best answer from the choices provided
Answers
a
Step-by-step explanation:
Can you please help me
Answers
The vertices of ΔFGH are F(-2,4), G(4,4), and H(1,-2), then the coordinates of the orthocenter of ΔFGH are ( 1 , 5/2 ) or ( 1 , \(2\frac{1}{2}\) ).
Graph ΔFGH . To find the orthocenter, find the point where two of the three altitudes intersect.
Find an equation of the altitude from F to GH.
The slope of GH is,
= 4-(-2)/4-1
= 4+2/4-1
= 6/3
= 2
So the slope of the altitude, which is perpendicular to GH, is -1/2
y - \(y_{1}\) = m (x - \(x_{1}\))
y - 4 = -1/2 ( x - (-2) )
y - 4 = -1/2 (x+2)
y - 4 = -1/2x - 1
y = -1/2x -1 + 4
Find an equation of the altitude from F to GH.
The slope of FH is,
= -2-4/1-(-2)
= -6/1+2
= -6/3
= -2
So the slop of the altitude is, 1/2
y - \(y_{1}\) = m (x - \(x_{1}\))
y - 4 = 1/2 ( x - 4 )
y - 4 = 1/2x - 2
y = 1/2x -2 + 4
y = 1/2x + 2
Solve the resulting system of equations \(\left \{ {{y = -1/2x + 3} \atop {y = 1/2x + 2 }} \right.\) to find the point of intersection of the altitudes.
Adding the two equations to eliminate \(x\) results in 2y = 5 or y = 5/2
y = 1/2x + 2
5/2 = 1/2x + 2
1/2 = 1/2x
x = 1
Therefore,
The coordinates of the orthocenter of ΔFGH are ( 1 , 5/2 ) or ( 1 , \(2\frac{1}{2}\) ).
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