Salifu moved about 559 meters east from the starting point
What is Pythagoras Theorem?
The triangle has three sides, the hypotenuse (which is always the longest), Opposite (which doesn't touch the hypotenuse) and the adjacent (which is between the opposite and the hypotenuse).
Using the Pythagorean theorem, we have:
\(c^2 = a^2 + b^2\)
where c is the length of the hypotenuse, a is the length of the northward side, and b is the length of the eastward side.
Substituting the given values, we get:
\(c^2 = 500^2 + 250^2\\\\c^2 = 250000 + 62500\\\\c^2 = 312500\)
Taking the square root of both sides, we get:
c ≈ 559.02
Therefore, Salifu moved about 559 meters east from the starting point (rounded to the nearest whole number).
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NEED HELP IMMEDIATELY!
Simplify 10√2y + 5√2y + 3√2y.
A. 18√6y
B. 18√2y
C. 12√2y
D. 18√6y^3
(ANSWER IS NOT A)
18 root
2
Step-by-step explanation:
In this question imagine there is no y
It will be 10 root2 +5 root2 +3 root 2 it will be 18 root 2
EASY MATH PLEASE HELP!
Maddie cuts a 6 yard length of ribbon into 1/3 yard pieces. How many cuts did she make?
Answer:
18
Step-by-step explanation:
this is the answer happy now
Can somebody help me
Answer:
22x
Step-by-step explanation:
Step-by-step explanation:
13) x = 17sin(59°)
x = 14.57
14) x = 17sin(60°)
x = 14.72
What’s the middle point of -24 and 36
what is the current in the secondary coil as compared to the primary coil? assume 100% efficiency.
Assuming 100% efficiency, the current in the secondary coil will be the same as the current in the primary coil.
The current in the secondary coil is dependent on the voltage ratio of the primary and secondary coils. If the voltage ratio of the coils is the same as the turns ratio, then the current in the secondary coil will be identical to that in the primary coil. Therefore, assuming 100% efficiency, the current in the secondary coil will be the same as the current in the primary coil.
The current in the secondary coil is determined by the voltage ratio of the primary and secondary coils. The voltage ratio is equal to the turns ratio, which is the ratio of the number of turns in the secondary coil to the number of turns in the primary coil. In an ideal transformer with 100% efficiency, the power output in the secondary coil will be equal to the power input in the primary coil. Since power is equal to voltage multiplied by current, and the voltage ratio is equal to the turns ratio, the current in the secondary coil will be the same as the current in the primary coil.
Therefore, assuming 100% efficiency, the current in the secondary coil will be the same as the current in the primary coil.
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How many fixed points are there for the function f(x)=x^3 ?
The number of fixed points of the given function are 3, they are 0, -1 and 1.
The given function is f(x)=x³.
To fin the fixed point of the given function subtract x from x³.
That, x³-x=0
x(x²-1)=0
x=0, x²-1=0
(x+1)(x-1)=0 (∵a²-b²=(a+b)(a-b)
x+1=0 and x-1=0
x=-1 and x=1
So, the fixed points are 0, -1, 1
Therefore, the number of fixed points of the given function are 3, they are 0, -1 and 1.
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Below shows the academic level values of the data set in (c). Apply formulas to calculate the average number of publications per faculty. unit Mi Yi 6 62 2.25
9 48 0.25
11 41 5.50
14 65 1.75
16 10 0.50 19 62 1.25 21 61 2.00
23 25 1.25
14 65 0.75
14 65 1.00 If the first stage is PPS without replacement. What is the inclusion probability for unit 6 (PSU level)?
To calculate the inclusion probability for unit 6 (PSU level) in the first stage of PPS without replacement, we need to divide the number of sampling units in the population by the total number of sampling units selected in the first stage.
Looking at the provided data, we can see that there are a total of 10 sampling units (Mi) in the dataset.
In PPS without replacement, the first sampling unit is selected with certainty. So, the inclusion probability for unit 6 (PSU level) is:
Inclusion probability = 1 / Total number of sampling units selected in the first stage
= 1 / 10
= 0.1
Therefore, the inclusion probability for unit 6 (PSU level) in the first stage of PPS without replacement is 0.1 or 10%.
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can someone help me with a series of questions?
Answer:
yes
Step-by-step explanation:
send the questions....
How do numbers help us predict the ebbs and flows in our lives? Think about things like circadian rhythms.
Numbers play a crucial role in helping us predict the ebbs and flows in our lives. They are used to measure and quantify patterns and cycles that occur in our daily lives, such as circadian rhythms.
Circadian rhythms are the physical, mental, and behavioral changes that follow a 24-hour cycle, responding primarily to light and darkness in an organism's environment. Numbers help us measure and track these rhythms, allowing us to predict when we will feel awake or sleepy, hungry or full, and so on.
For example, we know that the average human circadian rhythm is 24.2 hours, and that our bodies produce the hormone melatonin at night to help us sleep. By measuring and tracking these numbers, we can predict when we will feel tired and need to sleep, and when we will feel awake and alert.
Numbers also help us predict other patterns in our lives, such as our menstrual cycles, the best times to exercise, and when we are most likely to get sick. By tracking and measuring these numbers, we can better understand and predict the ebbs and flows in our lives and make more informed decisions about our health and well-being.
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40% of 36
can somone tell me what it is or how to do it because i am struggling
Answer:
14.4
Step-by-step explanation:
To find 40 percent of 36, here's how I do it. Just divide 36 by one hundred (move the decimal point two times to the left), giving you 0.36. Then multiply that by 40, and you get 14.4! Of course, there are multiple ways to do it, but that's just mine. If it doesn't work for you, try and search some formulas.
Answer:
Step-by-step explanation:
40/100*36
40*36/100
1440/100
14.4
so here if u divide 40% by 100 the % sign will automarically removed and here 40% 0f 36 means 40 and to remove % sign divide it by 100 and multply it by 36
Solve, algebraically, for the value(s) of x.
4x2 - 4x = 24
x = -3, X = 2
x = 3, x = -2
x = 3, X = 2
x = -3, x = -2
Answer:
1. x=-4
Step-by-step explanation:
when a hot object is placed in a water bath whose temperature is 25∘c, it cools from 100∘c to 50∘c in 180s. in another bath, the same cooling occurs in 160s. find the temperature of the second bath.
the sum of yhe age ofa father and his son us 50 years if the ages of the is 10 years. find the age of the father
What is the area, in square centimeters, of an 8.5 inch by 11 inch sheet of paper?A) 94 cm2 B) 240 cm2 C) 420 cm2 D) 6.0 × 102 cm2 E) 1.2 × 104 cm2
The square of the centimeter of the area is calculated by the square of the centimeter. The area of the rectangle is calculated by the formula width x length. So the rectangles area is 94cm
Squares have only one side that is squared to find the area of the shape. But in rectangle there will be two sides given that width and length of the shape. So to find the area the width and the length of the rectangle is given so the numerical must be multiplied. In the given question the width of the rectangle is 8.5 and the length of the rectangle is 11.
o the area of the rectangle can be found by the formula= w x l
=8.5 x 11
=93.5
approximately can be taken as 94 cm.
A rectangle can is a four sided shape that includes the length, width and height and that opposites sides are equal in the rectangle. The adjacent sides of the rectangle is perpendicular and the angle is right angle that is it is measured as 90 degree. A rectangle can be a parallelogram but parallelogram can not be equal to the rectangle.
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The question has an area because the square because the square has only one side and the area of the square can be found by squaring one side of square. So the actual question should be What is the area, in rectangle centimeters, of an 8.5 inch by 11 inch sheet of paper?
PLEASE HELP ME 40 POINTS!!!
The graph of the linear function f has a positive slope. Match each system of linear equations with the correct number of solutions.
A. No Solution B. Infinitely many solutions C. One Solution
1. y = f(x) ------------> _________
1/4y = 1/4f(x)
2. y = f(x) -----------> _________
y = f (4x)
3. y = f(x) ------------> _________
y = f (x) -4
4. y = f(x) ------------> _________
y = 4f (x)
Answer:
1. B: the equation is always true
2. C (I'm pretty sure)
3. A: the equation is never true (y does not equal itself minus 4)
4. A: the equation is never true
Find the measure of the label angles below note: you must find y first
13
124
6.8
68.2
Answer:
124°
Step-by-step explanation:
since they are vertical angles, then put them equal to eachother
9y + 7 = 2y + 98
7y = 91
y = 13
9(7)+7= 124
2(13)+98= 124
7.8 Consider the following convex optimization problem min WERD 1 T w'w 2 subject to wr>1. Derive the Lagrangian dual by introducing the Lagrange multiplier X.
The given convex optimization problem aims to minimize the objective function, which is a quadratic term WERD1^T w'w2, subject to the constraint wr > 1. To derive the Lagrangian dual, we introduce the Lagrange multiplier X.
The Lagrangian function is constructed by adding the product of the Lagrange multiplier and the constraint to the objective function, resulting in L(w, X) = WERD1^T w'w2 + X(wr - 1). The Lagrangian dual is obtained by minimizing the Lagrangian function with respect to w while maximizing it with respect to X.
The Lagrangian dual is a powerful tool in optimization as it provides a way to transform a constrained optimization problem into an unconstrained one. In this case, introducing the Lagrange multiplier X allows us to incorporate the constraint wr > 1 into the objective function through the Lagrangian function L(w, X). By minimizing L(w, X) with respect to w and maximizing it with respect to X, we can find the optimal values of w and X that satisfy both the objective and the constraint. The Lagrangian dual thus provides insight into the trade-off between the objective and the constraint and helps us understand the duality between the primal and dual problems in convex optimization.
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PLEASE HELP!!!!!
The probability of drawing a green marble from a marble bag is 20%. What are the odds in favor of drawing a green marble?
A. 1:4
B. 5:1
C. 1:5
D. 4:1
Answer:
C. 1:5
Step-by-step explanation:
Please help!
Provide an appropriate response and show your work. Assume that the random variable X is normally distributed, with mean=90 and standard deviation=12. Compute the probability P(57 < X < 105).
The probability that X is between 57 and 105 is 0.8914.
How to solveGiven:
* X is normally distributed with mean=90 and standard deviation=12
* P(57 < X < 105)
Solution:
* Convert the given values to z-scores:
* z = (X - μ) / σ
* z = (57 - 90) / 12 = -2.50
* z = (105 - 90) / 12 = 1.25
* Use the z-table to find the probability:
* P(Z < -2.50) = 0.0062
* P(Z < 1.25) = 0.8944
* Add the probabilities to find the total probability:
* P(57 < X < 105) = 0.0062 + 0.8944 = 0.8914
Therefore, the probability that X is between 57 and 105 is 0.8914.
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put 3/5 as a decimal and is it a terminating or repeating decimal?
Answer:
3/5 as a decimal is 0.6 and it is terminating not repeating
Step-by-step explanation:
PLS HELP! WILL MARK BRAINLYIST!!
1. What do you know about the trigonometric ratios for similar triangles?
2. What is the relationship between the sine and cosine of complementary angles, and why is this relationship true?
3. How do you use trigonometric ratios to solve for a missing side or angle of a right triangle?
Possible answers??
2. The relationship between the sine and cosine of complementary angles is that they are equal. Angles A and B are complementary if: A+B=90.
3. Sineθ=opposite/hypotenuse, cosθ=adjacent/hypotenuse, tanθ=opposite/adjacent.
PLEASE HELP, I DON'T KNOW IF THESE ARE RIGHT
1) Trigonometric ratios for similar triangles state that the ratios of corresponding sides of similar triangles are equal. 2) The sine and cosine of complementary angles have the property of being not only equal but also complementary to one another. 3) trigonometric ratios can be used to solve for a missing side or angle of a right triangle.
What are trigonometric ratios?1. Trigonometric ratios for similar triangles state that the ratios of corresponding sides of similar triangles are equal. Therefore, the ratios of the sine, cosine, and tangent of the corresponding angles in similar triangles will also be equal.
2. The sine and cosine of complementary angles have the property of being not only equal but also complementary to one another. This means that the sine of an angle is equal to its complement's cosine, and vice versa.
3. Using the appropriate formula based on the given information, trigonometric ratios can be used to solve for a missing side or angle of a right triangle.
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Three more than seven times a number d is equal to fifty nine. What is the value of d?
Answer:
d = 8
Step-by-step explanation
Work Backwards:
59 - 3 = 56
56/7 = 8
Therefore d = 8
Answer:
Three more than seven times a number d is equal to fifty nine
According to the problem
\(7d + 3 = 59 \\ 7d = 59 - 3 \\ 7d = 56 \\ d = \frac{56}{7} \\ \boxed{d = 8}\)
Value of d is 8.Determine the slope from the following order pairs:
(1,3) (0,1)
Answer:2/1
Step-by-step explanation:
Y1-y2/ x1-x2= 2/1
Royal Sweets sells one dozen milk fritters in thick syrup for $3.50. Its total fixed cost are $15,000 and its per dozen variable cost are $2.00. Calculate the break even point in dozens (units).
Answer: Sweets needs to sell to cover its fixed and variable costs.
Let x be the number of dozens of milk fritters that Royal Sweets needs to sell to break even.
Revenue from selling x dozens of milk fritters = price per dozen x number of dozens sold = $3.50x
Total cost = fixed cost + variable cost
Total cost = $15,000 + ($2.00 x)
At break-even point, revenue = total cost, so:
$3.50x = $15,000 + ($2.00 x)
$1.50x = $15,000
x = 10,000/1.5
x = 6,666.67
Therefore, Royal Sweets needs to sell approximately 6,667 dozens of milk fritters to break even.
50 points to the first person to answer this for me. Solve.
−2 1/3x=−1 3/4
What is the solution to the equation?
Enter your answer as a simplified fraction in the box.
Answer: \(x= \frac{3}{4}\)
Step-by-step explanation:
Solve for x by simplifying both sides of the equation, then isolating the variable.
If 6 pennies are in each pile how many pennies are in nine piles?
Answer:45
Step-by-step explanation:
Answer:
This is so easy it's basically 6x9 which isssss, 54 lol,
Step-by-step explanation:
There's some creepy and weird noise coming from my mom and dad's room and I think they're in trouble, what should I do????
Answer:
Leave em alone or go be noisy?
Step-by-step explanation:
What is 4/5 x 1 1/2 x 7/8
Mrs. frizzle has nine students in her biology class. in how many ways can she assign her students to lab groups of two or three students.
Mrs. Frizzle can assign her students to lab groups of two or three students in 18 and 12 ways respectively.
To find the number of ways to form lab groups of two students, we need to calculate the number of combinations of 9 students taken 2 at a time. This can be represented as "9C2" or "9 choose 2".
The formula for combinations is nCr = n! / (r!(n-r)!), where n is the total number of objects to choose from and r is the number of objects to choose.
So, for lab groups of two students, the calculation would be:
9C2 = 9! / (2!(9-2)!)
= 9! / (2!7!)
= (9 * 8 * 7!) / (2! * 7!)
= (9 * 8) / 2!
= 36 / 2
= 18
Therefore, there are 18 ways to form lab groups of two students.
To find the number of ways to form lab groups of three students, we need to calculate the number of combinations of 9 students taken 3 at a time. This can be represented as "9C3" or "9 choose 3".
Using the same formula for combinations, the calculation would be:
9C3 = 9! / (3!(9-3)!)
= 9! / (3!6!)
= (9 * 8 * 7!) / (3! * 6!)
= (9 * 8) / 3!
= 72 / 6
= 12
Therefore, there are 12 ways to form lab groups of three students.
In conclusion, Mrs. Frizzle can assign her students to lab groups of two or three students in 18 and 12 ways respectively.
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Please help ASAP I will rate you thumbs up 12
Determine if the sequence {an} a solution of the recurrence relation an = 8an-1 – 16an-2 if = 1. an = 1 b. an = 4" Thoroughly explain your reasoning for each part, providing the appropriate algebrai
To determine if the sequence {an} is a solution of the recurrence relation an = 8an-1 – 16an-2, we need to substitute the given values of an and check if the equation holds true.
a) If an = 1, then we have:
an = 1
an-1 = a0 (since we don't have any values before a0)
an-2 = a-1 (which is not defined since a-1 is outside the domain of the sequence)
Substituting these values in the recurrence relation, we get:
1 = 8a0 - 16a-1 (using a0 = a-1 = 0, since they are undefined)
Simplifying this equation, we get:
1 = 0, which is not true. Therefore, the sequence {an} is not a solution of the recurrence relation if an = 1.
b) If an = 4, then we have:
an = 4
an-1 = a3
an-2 = a2
Substituting these values in the recurrence relation, we get:
4 = 8a3 - 16a2
Simplifying this equation, we get:
2 = 4a3 - 8a2
1/2 = 2a3 - 4a2
1/8 = a3 - 2a2
Therefore, the sequence {an} is a solution of the recurrence relation if an = 4.
In summary, the sequence {an} is not a solution of the recurrence relation if an = 1, but it is a solution if an = 4. This is because the recurrence relation is not satisfied for an = 1, but it is satisfied for an = 4.
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Use the picture below to
# 1) Your realized income is $3,543.22/month.
determine your fixed expenses each month. How much could you save per
month if you take 25% of your discretionary monies and put it in a savings
account?
The amount you could save per month would be 25% of your discretionary money.
How much could you save per month if you take 25% of your discretionary money?Discretionary income is the money you have left over after paying taxes and necessary cost-of-living expenses.
The formula for discretionary money is: Discretionary money = Realized income - Fixed expenses. Inputting data, we have: Discretionary money = $3,543.22 - Fixed expenses
Amount to be saved = 25% of discretionary money
Amount to be saved = 0.25 * (Realized income - Fixed expenses)
Therefore, the amount savable is calculated as 0.25 times the difference between your realized income and fixed expenses.
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