Find the degree to the nearest point

Find The Degree To The Nearest Point

Answers

Answer 1

The degree to turn before walking 673 paces is 59 degrees

How to determine the degree to walk?

From the question, we have the following parameters that can be used in our computation:

Lengths = 989 paces, 673 paces and 861 paces

These paces can be represented as

x = 989

y = 673

z = 861

The measure of the required angle (angle Z) i.e.  the degree to walk can be calculated using the following cosine rule

z² = x² + y² - 2xy * cos(Z)

Substitute the known values in the above equation, so, we have the following representation

861² = 989² + 673² - 2 * 989 * 673 * cos(Z)

Evaluate the exponents, the products and the summation

So, we have the following representation

741321 = 1431050 - 1331194 * cos(Z)

Evaluate the like terms

- 1331194 * cos(Z) = -689729

Divide both sides by  - 1331194

cos(Z) = 0.51812808651

Take the arc-cos of both sides

Z = 58.7

Approximate

Z= 59 degrees

Hence, the measure of the angle is 59 degrees

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Related Questions

The rate a car travels varies inversely with the time of the trip. If a car traveling 63 miles per hour can make the
trip in 2.5 hours. If on the return trip you travel 70 miles per hour, how many hours did it take you to return?

Answers

Answer:

2.25 hours

Step-by-step explanation:

simplify : 7w - 8( -9 - 3w)

Answers

Answer:

Step-by-step explanation:

7w + 72 + 24w

31w + 72

Ibk what’s the answer to this Kelly has purchased a membership at the gym for the last four months she has paid the same amount each month and her total cost so far has been $100 what equation expresses the Russian relationship of the cost and month

A sample of 260 students enrolled at a university were asked what they intended to do after graduation. The results are shown below.

Bar Graph of Type of Employment


What percentage of students intend to go into state or local government after graduation?

Answers

Hi my name is Fabian and 69% because 69 is a man which is multi colour hair

Work out the perimeter of the shaded shape on the centimetre grid.

Give the answer in cm and no spam.

Work out the perimeter of the shaded shape on the centimetre grid.Give the answer in cm and no spam.

Answers

Answer:

The perimeter of this rectangle is 10 cm.

Lucas received $35 from his friend for his birthday. He wants to purchase a new keyboard that is $19 and wants to spend the rest on a monthly subscription for computer games. The monthly subscription costs $5 per month. What is the max number of months that Lucas can pay for?

Answers

Answer:

3 months

Step-by-step explanation:

  35

-  19

=  16     left after keyboard

-  15     Three months of subscription costs

PLEASE ANSWER I HAVE 5 MINS WILL MARK BRAINLIEST IF CORRECT!

PLEASE ANSWER I HAVE 5 MINS WILL MARK BRAINLIEST IF CORRECT!

Answers

Answer:

18

Step-by-step explanation:

Answer: 18.

Step-by-step explanation: For 4x, we change x to 18, so it makes 4 x 18, which is 72.  However, we still need the value of x beneath that angle, which is 18.  18 + 72 equals 90 and the general angle of this problem is supposed to be 90 degrees.

Let me know if this is right! :)

A division of a company produces income tax apps for smartphones. Each income tax app sells for $8. The monthly fixed costs incurred by the division are $20,000, and the variable cost of producing each income tax app is $3.

Answers

The break-even point for the division is as follows:

Break-even point in units = 4,000 unitsBreak-even point in dollars = $32,000.

What is the break-even point?

The break-even point is the unit or dollar value where the total revenue equals the total costs.

The total costs consist of the fixed and variable costs.

Selling price per unit of the income tax app = $8

The variable cost per unit = $3

Contribution margin per unit = $5 ($8 - $3)

Contribution margin ratio = 62.5% ($5 ÷ $8 x 100)

Fixed cost per month = $20,000

Break-even point in units = Fixed Costs/Contribution margin per unit

= 4,000 units ($20,000 ÷ $5)

Break-even point in dollars = Fixed Costs/Contribution margin ratio

= $32,000 ($20,000 ÷ 62.5%)

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Question Completion:

Find the break-even point for the division.

The length of a rectangle is 2 inches more than its width. The area of the rectangle is equal to 12 inches more than three times the perimeter. Find the length
and width of the rectangle.

Answers

Answer:

Step-by-step explanation:

The length of a rectangle is 2 inches more than its width. The area of the rectangle is equal to 12 inches more than three times the perimeter. Find the length

and width of the rectangle.

Amanda asked a random sample of 40 students from her school to identify their birth month. There are 300 students in her school. Amanda's data is shown in this
table:
Student Birth Months
Birth Month
January
February
March
April
May
June
July
August
September
October
November
December
Number of Students
3
0
3
10
4
3
4
3
2
2
3
3
Which of these statements is best supported by the data?
Exactly 25% of the students in Amanda's school have April as their birth month.
There are no students in Amanda's school that have a February birth month.
There are probably more students at Amanda's school with an April birth month than a July birth month.
There are probably more students at Amanda's school with a July birth month than a June birth month.

Answers

There are probably more students at Amanda's school with an April birth month than a July birth month

-1/2(16-8x)

Plz Answer

Answers

Answer:

-8+4x

Step-by-step explanation:

-8+4x hope it’s right!

Find the value of N in 26%×N=78​

Answers

Answer:

26%×N=78

Reduce the fraction 26/100 to lowest terms by extracting and cancelling out 2.

13

N=78

50

multiply both sides by 15/30 the reciprocal of 13/50

N=78× (50/13)

Express 78×(50/13) as a single fraction

N=78×50

13

multiply 78 and 50 to get 3900.

N=3900

13

Divide 3900 by 13 to get 300.

N=300

So the answer is N=300

Step-by-step explanation:

#Carry on learning

How many different passwords can be made if it is three letters, followed by two digits, followed by a letter? (Repetition is allowed.) Use the fundamental counting principle.

Answers

Answer:

There are 45,697,600 different passwords.

Step-by-step explanation:

Fundamental counting principle:

States that if there are p ways to do a thing, and q ways to do another thing, and these two things are independent, there are p*q ways to do both things.

In this question:

3 letters, each with 26 possible options(ways).

Two digits, each with 10 possible options.

One digit, with 26 possible options.

How many different passwords?

Each digit/letter is independent, so:

26*26*26*10*10*26 = 45,697,600

There are 45,697,600 different passwords.

PLease help asap BRAINLIEST ANSWER

Given: line{AB}with point A (2,2) and the midpoint M( 4,-2)
Identify the coordinates of point `B.`


Given line `t` on the graph provided, choose all points that lie on the line that passes through point `P` and is perpendicular to line `t`.

PLease help asap BRAINLIEST ANSWERGiven: line{AB}with point A (2,2) and the midpoint M( 4,-2)Identify
PLease help asap BRAINLIEST ANSWERGiven: line{AB}with point A (2,2) and the midpoint M( 4,-2)Identify

Answers

Answer: (6,-6)

Step-by-step explanation:

To find the coordinates of point B, we can use the midpoint formula:

Midpoint formula: The midpoint M of a line segment with endpoints (x1, y1) and (x2, y2) is given by:

M = ((x1+x2)/2, (y1+y2)/2)

Here, we know that the midpoint M is (4, -2), and one endpoint A is (2, 2). Let B be the other endpoint, so we can use the midpoint formula to find B:

4 = (2+x2)/2 --> 8 = 2+x2 --> x2 = 6

-2 = (2+y2)/2 --> -4 = 2+y2 --> y2 = -6

Therefore, point B has coordinates (6, -6).

As for the second question, without a graph or information about the equation of line t and point P, it is not possible to determine which points lie on the line passing through P and perpendicular to t.

19
Select the correct answer.
A developer buys an empty lot to build a small house. What is the area of the lot?

19Select the correct answer.A developer buys an empty lot to build a small house. What is the area of

Answers

Area of the plot = 193 sq.yd.  , Option B is the correct answer.

What is Area ?

Area is the space occupied by a flat surface or an object .

It is measured in square units

It has wide daily life importance like in the question mentioned , a plot will be measured in area of the space.

It is given that

A developer buys an empty lot to build a small house.

area of the lot = ?

The figure is incomplete and the complete figure is attached with the answer.

To determine the area the figure needs to be divided into triangles and rectangles as shown in the figure

Area of the first triangle = (1/2) * base * height

By Calculation

base = 17 unit and height = 10 unit

= (1/2) * 17 * 10

= 17*5

=85 sq.unit

Area of the second triangle = (1/2)* 9* 8

=36 sq. unit

Area of the rectangle = base * height

base = 9 unit and height = 7 unit

Area = 9*7= 63 sq.unit

Area of the last triangle = (1/2) * 2*9

= 9 unit

The area of the plot = 85+36+63+9

Area of the plot = 193 sq.yd.

Therefore , Option B is the correct answer.

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19Select the correct answer.A developer buys an empty lot to build a small house. What is the area of
19Select the correct answer.A developer buys an empty lot to build a small house. What is the area of

Answer:

Step-by-step explanation:

Area of the plot = 193 sq.yd.  , Option B is the correct answer.

What is Area ?

Area is the space occupied by a flat surface or an object .

It is measured in square units

It has wide daily life importance like in the question mentioned , a plot will be measured in area of the space.

It is given that

A developer buys an empty lot to build a small house.

area of the lot = ?

The figure is incomplete and the complete figure is attached with the answer.

To determine the area the figure needs to be divided into triangles and rectangles as shown in the figure

Area of the first triangle = (1/2) * base * height

By Calculation

base = 17 unit and height = 10 unit

= (1/2) * 17 * 10

= 17*5

=85 sq.unit

Area of the second triangle = (1/2)* 9* 8

=36 sq. unit

Area of the rectangle = base * height

base = 9 unit and height = 7 unit

Area = 9*7= 63 sq.unit

Area of the last triangle = (1/2) * 2*9

= 9 unit

The area of the plot = 85+36+63+9

Area of the plot = 193 sq.yd.

Therefore , Option B is the correct answer.

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The city of Raleigh has 9,200 registered voters. There are two candidates for city council in an upcoming election: Brown and Feliz. The day before the election, a telephone poll of 200 randomly selected registered voters was conducted. 65 said they'd vote for Brown, 121 said they'd vote for Feliz, and 14 were undecided.

A. what is the population of this survey?B. What is the size of populationC. What is the size of the sampleD. Give the sample statistic for the proportion of voters surveyed who said they'd vote for Brown.E. Based on the sample, we might expect how many of th 9500 voters to vote for Brown

Answers

Answer:

A) The population of this survey is the registered voters in the city of Raleigh.

B) 9500

C) 200

D) 0.325

E) 3088

Step-by-step explanation:

A) The population of this survey is the registered voters in the city of Raleigh.

B) Population size can be defined as the total number of individuals in a population. Here the total number of individuals are the registered voters in the city. Therefore the size of the population is 9500.

c) Sample size is defined as the number of individual samples in a statistical test. Here the sample size is the 200 randomly selected registered voters. It is denoted as "n".

d) The sample statistic for the proportion of voters surveyed who said they'd vote for Brown would be:

p' = voters for brown / sample size

\( p' = \frac{65}{200} = 0.325 \)

The sample statistic for the proportion of voters surveyed who said they'd vote for Brown is 0.325

E) The expected number of voters for Brown based on the sample:

0.325 * 9500 = 3087.5

Approximately 3088

The expected number of voters for Brown based on the sample might be 3088 voters.

the density of the copper is 9.86g/cm\(x^{3}\)

the density of the copper is 9.86g/cm[tex]x^{3}[/tex]

Answers

The mass of the cubic cuboid is 1.479 kilograms.

What is the mass of a copper cuboid?

Dimensionally speaking, density (ρ), in kilograms per cubic meter, is mass (m), in kilograms, per unit volume (V), in cubic meters. By the assumption of uniform density within the copper cuboid, the mass of the solid is equal to:

m = ρ · V

Where V is the volume of cuboid, in cubic meters.

And the volume of cuboid is:

V = w · h · l

Where:

w - Width, in meters. h - Height, in meters.l - Length, in meters.

Please notice that a kilogram equals 1000 grams and a meter equals 100 centimeters.

First, calculate the volume of the cuboid:

V = (0.05 m) · (0.03 m) · (0.10 m)

V = 1.5 × 10⁻⁴ m³

Second, determine the mass of the cuboid:

m = (9.86 g / cm³) · (1 kg / 1000 g) · (1000000 cm³ / m³) · (1.5 × 10⁻⁴ m³)

m = 1.479 kg

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Can anyone help me pls

Can anyone help me pls

Answers

The experiment conducted resulted in a '2' five times out of 24 rolls , so the experimental probability is   5 / 24

I need help with these questions. Ignore my failed attempts

I need help with these questions. Ignore my failed attempts
I need help with these questions. Ignore my failed attempts
I need help with these questions. Ignore my failed attempts

Answers

The values of all 9 angles shown were found using the property of a kite they are:

m∠1=55°

m∠2=35°

m∠3=35°

m∠4=90°

m∠5=55°

m∠6=67°

m∠7=67°

m∠8=23°

m∠9=23°

What is an angle ?

In Kite figure, it is given that:

∠2+∠3 = 70°

Since they are equal so ∠2=∠3=35

∠8+∠9 = 46°

Since they are equal so ∠8=∠9=23°

∠5 = 180-∠3-∠4 = 180-35-90=55°

Similarly, ∠1 = 55°

∠6+∠7 = 180-∠8-∠9 = 180-46 = 134°

Since they are equal

∠6=∠7 = 67°

Therefore, all 9 angles were calculated using property of a kite.

m∠1=55°

m∠2=35°

m∠3=35°

m∠4=90°

m∠5=55°

m∠6=67°

m∠7=67°

m∠8=23°

m∠9=23°

In mathematics, an angle is a geometric figure formed by two rays or line segments that share a common endpoint, called the vertex. The rays or line segments are called the sides or legs of the angle, and the distance between the sides at the vertex is called the angle's measure.

Angles are typically measured in degrees or radians, and they can be classified by their measures as acute (less than 90 degrees), right (exactly 90 degrees), obtuse (greater than 90 degrees and less than 180 degrees), straight (exactly 180 degrees), reflex (greater than 180 degrees and less than 360 degrees), or full (exactly 360 degrees).

Kites have several properties related to their angles, including:

Two pairs of opposite angles in a kite are congruent. That is, the angles formed between the pairs of congruent sides are equal.

One diagonal of a kite bisects the other diagonal. This means that the diagonal that connects the non-congruent vertices of the kite divides the other diagonal into two equal segments.

The sum of the measures of the two non-congruent angles in a kite is 180 degrees. This is because the kite can be divided into two congruent triangles by drawing the diagonal that bisects the other diagonal, and the sum of the angles in a triangle is always 180 degrees.

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I will give BRAINLIEST if correct need asap

I will give BRAINLIEST if correct need asap

Answers

(A) The data provided is modeling a geometric sequence, (B) the recursive formula is T(5) = T(4) * 2., and (C) the explicit formula T(n) = T(1) * r^(n-1).

What is the explicit formula?

The explicit formula for an arithmetic sequence is an = a + (n - 1)d, and any term of the sequence can be computed, without knowing the other terms of the sequence. In general, the explicit formula is the nth term of arithmetic, geometric, or harmonic sequence.

A. The data provided is modeling a geometric sequence.

This is because the common ratio between consecutive terms is a constant value, specifically in this case is the ratio between consecutive terms is multiplied by 2.

B. To find the time Aurora will complete station 5 using a recursive formula,

we can use the formula T(n) = T(n-1) * r,

where T(n) is the time at the nth station, T(n-1) is the time at the (n-1)th station, and r is the common ratio.

In this case T(5) = T(4) * 2

and T(4) = 24 (from the data provided)

Therefore, T(5) = 24 * 2 = 48 minutes

C. To find the time Aurora will complete the 9th station using an explicit formula,

we can use the formula T(n) = T(1) * r^(n-1)

In this case, T(9) = T(1) * 2^(9-1)

and T(1) = 3 (from the data provided)

Therefore, T(9) = 3 * 2^8 = 3 * 256 = 768 minutes

The explicit formula assumes that the first term of the sequence is T(1) and the common ratio of the consecutive term is r.

Hence, (A) The data provided is modeling a geometric sequence, (B) the recursive formula is T(5) = T(4) * 2., and (C) the explicit formula T(n) = T(1) * r^(n-1).

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please help.. the third and fourth choice are the same as the first two but positive

please help.. the third and fourth choice are the same as the first two but positive

Answers

Answer:

Your answer is going to be one of the 1/3 I'm pretty sure it is the positive 1/3 because the line is not decreasing.

Step-by-step explanation:

Jemma and Debra work as consults. They both get hired for jobs. Jemma charges a fee of $5 plus an additional $22 per hour. Debra charges $20 per hour. Write an expression that

Answers

Answer:

Jemma: 22x + 5

Debra: 20x

Step-by-step explanation:

100 POINT QUESTION!! there's an attachment! :)

100 POINT QUESTION!! there's an attachment! :)

Answers

Answer:

Square root of 10: (3,4) and (2,1), (-2,3) and (1,2), (-4,-2) and (-3, 1)

Square root of 29: (3,7) and (5,2), (5,-2) and (3,3), (4,-1) and (-1,1)

Answer:

Square root of 10: (3,4) and (2,1), (-2,3) and (1,2), (-4,-2) and (-3, 1)

Square root of 29: (3,7) and (5,2), (5,-2) and (3,3), (4,-1) and (-1,1)

I need help please ?!!!!!

I need help please ?!!!!!

Answers

Answer:

s = 20

Step-by-step explanation:

S=20
Hope this helps!

Determine the equation of the graph and select the correct answer below.

Determine the equation of the graph and select the correct answer below.

Answers

Answer: y = (x - 1)² - 3

Step-by-step explanation:

y = (1-1)²-3
y=0-3
y=-3

Please look at the graphs in the photo. Thank you!

Please look at the graphs in the photo. Thank you!

Answers

(a). The graph of y = -f(x) is shown in the image below.

(b). The graph of y = g(-x) is shown in the image below.

How to draw the graph of the transformed functions?

By reflecting the parent absolute value function g(x) = |x + 2| - 4 over the x-axis, the transformed absolute value function can be written as follows;

y = -f(x)

y = -|x + 2| - 4

Part b.

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

y - y₁ = m(x - x₁)

Where:

x and y represent the data points.m represent the slope.

First of all, we would determine the slope of this line;

Slope (m) = rise/run

Slope (m) = -2/4

Slope (m) = -1/2

At data point (0, 5) and a slope of -1/2, a linear equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 5 = -1/2(x - 0)

g(x) = -x/2 + 5, -4 ≤ x ≤ 4.

y = g(-x)

y = x/2 + 5, -4 ≤ x ≤ 4.

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Please look at the graphs in the photo. Thank you!

Which equations represent circles that have a diameter of 12 units and a center that lies on the y-axis? Select two options. x2 + (y – 3)2 = 36 x2 + (y – 5)2 = 6 (x – 4)² + y² = 36 (x + 6)² + y² = 144 x2 + (y + 8)2 = 36

Answers

x² + (y - 3)² = 36; x² + (y + 8)² =36 represent the circles that have a diameter of 12 units and a center that lies on the Y axis.

We know that the abscissa of coordinates of a point on Y axis is 0.

So the equation of a circle center at (0, k) and radius 'r' is given by,

x² + (y - k)² = r²

Here given that the diameter of the circle must be = 12 units

So the radius of the circle = 12/2 = 6 units.

So the equation of the required circle looks like

x² + (y - k)² = 6², where k is an real number.

x² + (y - k)² = 36

So we can see that the equations x² + (y - 3)² = 36; x² + (y + 8)² =36 can be the equation of the required circle.

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What is a proportion?

Answers

Answer:

A part of a thing

Answer:

When two ratios or fractions are equivalent.

Step-by-step explanation:

Example 5/10 = 1/2

Hector is visiting a cousin who lives 360 miles away. He has driven 70 miles. How many more miles does he need to drive to reach his cousin's home? Let d be how many miles left to reach his cousin's home.

Answers

Answer:

260 miles.  

Step-by-step explanation:

350-90=260  

If you see the word difference in an equation, it means to subtract. :) hope that helps

Marcelina uses a blend of white corn and yellow corn to make tortilla chips at her restaurant. She needs to buy 50kg, end text of corn in total for her next order. White corn costs $0.30 per kilogram, yellow corn costs $.015 per kilogram, and she wants to spend 12 dollars total.

CORRECT (SELECTED)

Marcelina spends the intended amount of money and buys the intended amount of corn.

Explanation: Point E is on line a, so it represents a scenario where she spends a 12 dollar sign, Also, point E is on line b, so it represents a scenario where she buys 50kg end text of corn.

Answers

Option A. The answer to the question is Marcelina spends the intended amount of money and buys the intended amount of corn.

How to solve for the intended amount of corn from the graph

We can see a point that takes us to the amount that the corn was bought and the quantity that was obtained.

This shows that she is in range of what she was asked to buy. E shows us the amount that was spent as 12 dollars and the quantity of 50kg.

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10. Prime numbers from 1 to 100 are running a restaurant - PRIME SPOT, near a tourist point. On a winter holiday, 1 and the composite numbers up to 100 enter the restaurant for dinner after their picnic at the same point. The dining hall has tables with seating capacity 15 for each. If they occupy tables without leaving any chair free, how many tables are required? If each prime number attender has to serve equal number of customers, how many customers should each one get to serve? ​

Answers

6 tables are required. Each prime number attender should serve 3 customers each.

The prime numbers between 1 and 100 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.

All the numbers other than prime numbers are composite numbers.

The composite numbers from 1 to 100 are: 1, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 60, 62, 63, 64, 65, 66, 68, 69, 70, 72, 74, 75, 76, 77, 78, 80, 81, 82, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, 99, 100.

Now, as there are 25 primes and 75 composites in the group that visited the restaurant, we can calculate the number of tables required by dividing the number of people by the seating capacity of each table.

Each table has a seating capacity of 15, so the number of tables required will be: Number of tables = (Number of customers)/(Seating capacity of each table)Number of customers = 25 (the number of primes) + 75 (the number of composites) = 100Number of tables = 100/15 = 6 tables

Therefore, 6 tables are required.

Now, as each prime number attender has to serve an equal number of customers, we need to calculate how many customers each one should serve.

Each prime attender has to serve 75/25 = 3 customers each, as there are 75 composites and 25 primes.

Thus, each prime number attender should serve 3 customers each.

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The table shows values of a force function f(x), where x is measured in meters and f(x) in newtons.x 2 4 6 8 10 12 14 16 18f(x) 5 5.6 7.3 8.8 9.6 8 6.6 5 3.9Use the midpoint rule with n = 4 to estimate the work W (in J) done by the force in moving an object from x = 2 to x = 18. What was the effect on England of the defeat of the Spanish Armada Translate the quotation into symbolic form.If you can count your money (p), you don't have a billion dollars (q). J. Paul Gettyp qp q ~qq pp q What does citizenship in the nation mean? why did the delegates from the colonies want to form a union For each of the following systems of linear equations, write down the equivalent linear vector equation: a. 2x 1 x 2 +5x 3 =3 x 1 8x 2 +2x 3 =5 4x 2 4x 3 =5 b. x 1 +6x 2 +2x 3 x 4 =5 5x 1 6x 3 =7 c. x 1 +5x 2 =3 2x 1 13x 2 =8 3x 1 3x 2 =1 Which statement best describes Zapotec religious beliefs A ________ is a small message box that displays when the pointer is placed over a command button. A baby giraffe measures 6 feet tall when it isborn, and it grows an average of foot eachmonth. Write an equation! The sum of the squares of two nonnegative numbers is 327. The product of the two numbers is 101. What is the sum of the two numbers? Evaluate n. 8m +4P for m= 4, n = 2, and p = 3. at mid ocean ridges, rocks may undergo metamorphism under conditions that are high pressure, high temperature. question 3 options: true false Find the area of the rectangle on this centimetre grid. Graph the equation.y = 5x 2 Harrison Bergeron is full of dark themes, but it is also full of humor. Almost everything depressing or horrible in the story is accompanied by comedy. The following quote is also accompanied by irony: "I'd have chimes on Sunday-just chimes. Kind of in honor of religion." Explain what makes this quote ironic. * TRUE / FALSE. while natural disasters such as drought or flood can lead to famine, farmers can nearly always survive these hard times in the absence of political corruption. 1. Is the following a good commitment scheme? Take a generator g of p. Alice wants to commit YES or NO. She commits YES by taking a secret m and publishing c = gm (mod p) and NO as c = g (mod p), -m -m and when she wants to reveal she reveals m and her commitment. Then Bob can, for example, check if gm or g` (depending on Alice's reveal) is equal to c. Ivanhoe Limited is a publicly traded company on the Toronto Stock Exchange. The company sponsors a defined benefit pension plan for all of its employees, and the controller provides you with the following data that relate to the plan for fiscal 2020 : 1. The actuary has determined that the actuarial present value of future benefits earned by employees for services rendered in the year amounted to $68,800. 2. The plan requires Ivanhoe to make a cash contribution of $140,000 to the plan assets for 2020 . 3. On January 1, 2020, the company's defined benefit obligation was $824,000, and the fair value of pension plan assets was $760,000. The plan assets generated a return of $44,800 during the year, and Ivanhoe's discount rate was 8%. 4. Benefits of $60,000 were paid in 2020 . 5. In late December 2020 , an actuarial revaluation of the defined benefit obligation indicated an actuarial loss of $23,200. Determine the plan's surplus or deficit position and the balance of the Net Defined Benefit Liability/Asset account at January 1 , 2020 , and at December 31, 2020. Plan's at January 1, 2020 $ Plan's at December 31,2020 int x = 4, z; do { X++; X++; } whilelx < 10); z = x; what would z equal if the above code were run 10 86 5 4 2 12 14 16 18 In terms of technology, wich of the four devices is the most recent?a. keyboardb. joystickc. scannerd. camera