The quadrilateral is a trapezoid. What is the value of x? if the top is 21 and the bottom is 27 and x is in the middleA) 4B) 5C) 48D) 25
Answers
The value of x for The quadrilateral which is a trapezoid is if the top is 21 and the bottom is 27 is option 2 that is 5.
Quadrilaterals called trapezoids have two parallel and two non-parallel sides. It also goes by the name Trapezium. A trapezoid is a closed, four-sided form or figure that has a perimeter and covers a specific area. It is a 2D figure rather than a 3D one. The bases of the trapezoid are the sides that are parallel to one another. Legs or lateral sides refer to the non-parallel sides. The height is the separation between the parallel sides.
From the given diagram, the expression below is true:
2(5x - 1) = 21 + 27
Expand
10x - 2 = 48
10x = 48 + 2
10x = 50
Divide both sides by 10
10x.10 = 50/10
x = 5
Hence the value of x is 5
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Related Questions
Maileen has a stamp colection. Seventy percent of her is 300 stamps are philippine stamps. How many philipine stamps does Maileen have?
Answers
Maileen has 210 Philippine stamps in her collection. This equation can be read as 70 percent of 300, which is equal to 210.
Maileen has a stamp collection of 300 stamps. 70% of the stamps are Philippine stamps. To calculate the number of Philippine stamps Maileen has, we can use the following equation:
(70/100) x 300 = 210
Therefore, Maileen has 210 Philippine stamps in her collection. This equation can be read as 70 percent of 300, which is equal to 210. The equation can be expressed as a fraction, with the numerator being 70, and the denominator being 100. Multiplying the fraction by 300 gives us the answer. In this case, 70 percent of 300 is equal to 210.
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the apothem is the perpendicular distance from the _____ of a regular polygon to any one of its sides.
Answers
The apothem is the perpendicular distance from the center of a regular polygon to any one of its sides.
A closed, two-dimensional, flat or planar structure with straight sides is referred to as a polygon. Its sides do not bend in any way. A polygon's sides are also referred to as its edges. A polygon's vertices (or corners) are the places where two sides converge. Polygons and polyhedrons are two names for geometric shapes having three or more sides. The names of a few polygons are listed below. In order to link and develop projects and blockchains that are compatible with Ethereum, Polygon (MATIC), a cryptocurrency and technological platform, was introduced. A fully closed polygon is a flat, two-dimensional form with straight sides. They must have straight sides. Any number of sides can be found in polygons.
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What is -3x+y=6 on a graph?
Answers
X=11/9, y= -9/4
Step-By-Step
Hope Helps!!
Y-intercept: (0,6)
And this is the graph
Would this be correct?
Answers
to find the area of a square, the formula for that is length x width.
so for the square lot, every side is equal to 900 because squares have all equal sides.
to find the perimeter, you only need to add up all the side lengths. in this case. it would be 900+900+900+900. i’m adding it 4 times because a square lot has 4 sides.
the correct way to solve and to find the answer is:
900+900+900+900=3,600
The perimeter of the lot is 3,600m.
{PLEASE HELP FOR 100 POINTS}
{DUE TODAY}
Select the correct answer.
Alex is surveying a car company. She decides to start by interviewing some people in her neighborhood. She prepares a questionnaire and emails it to 50 neighbors who own cars. Of those neighbors, 24 responded. Why is this sample likely to be biased?
A.
Alex sent a questionnaire by email instead of going door to door.
B.
Alex sent the questionnaire only to those who live near her.
C.
Not everyone who got the questionnaire responded.
D.
Those who got the questionnaire may not have responded on time.
Answers
Answer: B Alex sent the questionnaire only to those who live near her.
Step-by-step explanation:
it is because it were her nieghbors
True or False. assume the variables x, y, and z have each been assigned an integer value. write a fragment of code that assigns the least of these three variables to another variable named min.
Answers
True. The variables x, y, and z have each been assigned an integer value.
Here is a fragment of code that assigns the least of three integer variables to another variable named min:
min = x # initialize min to the value of x
if y < min: # check if y is less than min
[tex]min = y[/tex] # [tex]update min to the value of y if y is less than min[/tex]
if z < min: # check if z is less than min
[tex]min = z[/tex] # [tex]update min to the value of z if z is less than min[/tex]
In this code, the variable 'min' is first initialized to the value of 'x'. Then, the code checks if 'y' is less than 'min', and if so, updates the value of 'min' to 'y'. Finally, the code checks if 'z' is less than 'min', and if so, updates the value of 'min' to 'z'. At the end of this code fragment, the variable 'min' will contain the least of the three variables 'x', 'y', and 'z'.
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A translation composed with a rotation maps quadrilateral ABCD to quadrilateral EFGH. If m∠BCD = 27.9°, what is m∠FGH?
Answers
The measurement of angle FGH is 27.9° after transformation.
What is transformation?A transformation is a process that manipulates a polygon or other two-dimensional object on a plane or coordinate system.
Given that, a translation composed with a rotation maps quadrilateral ABCD to quadrilateral EFGH. and m ∠ BCD = 27.9°, we are asked to find measurement of angle FGH,
We know that, any transformation or set of transformation will make similar figures, and similar figures have congruent corresponding angles,
Therefore,
m ∠ BCD = m ∠ FGH
m ∠ BCD = m ∠ FGH = 27.9°
Hence, the measurement of angle FGH is 27.9° after transformation.
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A freight elevator can hold a maximum weight of 2,500 pounds. A 180-pound person has a load of boxes to deliver. Some of the boxes weigh 25 pounds each, and some weigh 60 pounds each. Complete parts (a)-(c). Question content area bottom Part 1 a. Write and graph an inequality that represents the number of boxes the elevator can hold in one trip if the person is not in the elevator. Let x represent the number of 25-pound boxes, and let y represent the number of 60-pound boxes. Write an inequality that represents the number of boxes the elevator can hold in one trip if the person is not in the elevator.
Answers
The inequality is 25x + 60y + 180 ≤ 2500. x and y are variables.
What is inequality?
In mathematics, inequalities specify the relationship between two non-equal values. Equal does not imply inequality. Typically, we use the "not equal symbol (≠)" to indicate that two values are not equal. But various inequalities are used to compare the values, whether it is less than or greater than.
Given that a 180-pound person has a load of boxes to deliver. There are types of boxes. The weight of the first type of box is 25 pound and the second type of box is 60 pounds.
Let x represent the number of 25-pound boxes, and let y represent the number of 60-pound boxes.
The weight of x number of boxes is 25x
The weight of y number of boxes is 60y
The person carrying the box means he is also in the elevator.
The total weight of the boxes and the person is 25x + 60y + 180.
The elevator can hold a maximum weight of 2,500 pounds.
The wight of the boxes and the person must be less than or equal to 2500 pounds.
The inequality is
25x + 60y + 180 ≤ 2500
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show solutions if any 20. -7x + 7y = 1
2x - 2y = -18
Answers
The equations are two parallel lines, then the system of equations has no solutions.
How to solve the system of equations?Here we have a system of equations:
-7x + 7y = 1
2x - 2y = -18
Now, if we multiply the second equation by (7/2) we will get:
(7/2)*(2x - 2y) = -18*7/2
7x - 7y = -63
If we multiply this by -1 we will get:
-1*(7x - 7y) = -1*-63
-7x + 7y = 63
Then the system of equations becomes:
-7x + 7y = 1
-7x + 7y = 63
Notice that the left side is equal in both equations but the right side is different, then the system has no solutions.
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A farmer can buy two types of plant food, mix A and mix B. Each cubic yard of mix A contains 20 pounds of phosphoric acid, 30 pounds of nitrogen, and 5 pounds of potash. Each cubic yard of mix B contains 10 pounds of phosphoric acid, 30 pounds of nitrogen, and 10 pounds of potash. The minimum monthly requirements are 460 pounds of phosphoric acid, 960 pounds of nitrogen, and 220 pounds of potash. If x is the number of cubic yards of mix A used and y is the number of cubic yards of mix B used, write a system of linear inequalities that indicates appropriate restraints on x and y. Find the set of feasible solutions graphically for the amounts of mix A and mix B that can be used.
Answers
Graphically, the feasible solutions represent the points in the x-y plane that are inside the region defined by the three lines, and they can be found by plotting the three lines and shading the region below each line. The feasible solutions are the points in the shaded region that are common to all three.
Let x be the number of cubic yards of mix A used, and y be the number of cubic yards of mix B used. Then the total amount of phosphoric acid, nitrogen, and potash can be expressed as follows:
Phosphoric acid: 20x + 10y >= 460
Nitrogen: 30x + 30y >= 960
Potash: 5x + 10y >= 220
These inequalities represent the minimum monthly requirements for phosphoric acid, nitrogen, and potash. To find the feasible solutions, we need to find the values of x and y that satisfy all three inequalities simultaneously. This can be done graphically by plotting the three inequalities on the same coordinate plane and finding the region that is common to all three.
To plot the inequalities, we can choose convenient values for x and y, substitute them into the inequalities, and find the corresponding values of the right-hand side. For example, if we choose x = 0 and y = 0, then we have:
Phosphoric acid: 20 * 0 + 10 * 0 >= 460
Nitrogen: 30 * 0 + 30 * 0 >= 960
Potash: 5 * 0 + 10 * 0 >= 220
which gives us:
Phosphoric acid: 0 >= 460
Nitrogen: 0 >= 960
Potash: 0 >= 220
These values are all negative, which means that x = 0 and y = 0 do not satisfy the inequalities.
Next, we can choose x = 1 and y = 0, then we have:
Phosphoric acid: 20 * 1 + 10 * 0 >= 460
Nitrogen: 30 * 1 + 30 * 0 >= 960
Potash: 5 * 1 + 10 * 0 >= 220
which gives us:
Phosphoric acid: 20 >= 460
Nitrogen: 30 >= 960
Potash: 5 >= 220
These values are also negative, which means that x = 1 and y = 0 do not satisfy the inequalities either.
We can continue this process until we find values of x and y that satisfy all three inequalities. The feasible solutions are the values of x and y that satisfy all three inequalities, and they are represented by the region in the x-y plane that is common to all three. The feasible solutions can be found by shading the region below each of the lines representing the inequalities, and the set of feasible solutions is the region that is common to all three shaded regions.
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The height of an object at any time can be found with the polynomial - 16t ^ 2 + 550 where t is the time in seconds. How high is the object after 3.5 seconds?
Answers
Answer:
354 m
Step-by-step explanation:
to find the height substitute t = 3.5 into the height polynomial
height = - 16(3.5)² + 550 = - 16(12.25) + 550 = - 196 + 550 = 354
Question 48 what is the area if the mat is 184 in
Answers
The length and width of the rectangular board is 27 inches and 23 inches respectively
What is the Area of a Rectangle?The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle
Area of Rectangle = Length x Width
Given data ,
Let the area of the mat be = 184 inches²
Area of Rectangle = Length x Width
Substituting the values in the equation , we get
Let the area of the larger rectangle be = ( 2x - 3 ) ( x + 8 )
Let the area of the smaller rectangle be = ( 2x - 7 ) ( x + 4 )
Now , the area of mat = area of the larger rectangle - area of the smaller rectangle
So , 184 = ( 2x - 3 ) ( x + 8 ) - ( 2x - 7 ) ( x + 4 )
On simplifying the equation , we get
2x² - 3x + 16x - 24 - [ 2x² + x - 28 ] = 184
On further simplification , we get
12x + 4 = 184
Subtracting 4 on both sides of the equation , we get
12x = 180
Divide by 12 on both sides of the equation , we get
x = 15
So , the length of the board = ( 2x - 3 ) = 27 inches
And , width of the board = ( x + 8 ) = 23 inches
Hence , the dimensions of the rectangular board is 27 x 23 inches²
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Match the new coordinates that define the figure after dilation with a center at the origin by the given scale factor.
List of new coordinates: (0, 6) , (0, 4/3) , (1, 0) , (1, 4/3) , (6, 0) , (4/3, 0) , (9/2, 0) , (9/2, 6)
Scale factor 1/3:
(List all coordinates under scale factor 1/3)
Scale Factor 3/2:
(List all coordinates under scale factor 3/2)
Point NOT USED:
(List all coordinates under Point NOT USED if they couldn't be used)
[PLEASE ANSWER CORRECTLY!]
Answers
The given coordinates are all used (0, 6), (0, 4/3), (1, 0), (1, 4/3), (6, 0), (4/3, 0), (9/2, 0), (9/2, 6)
What is coordinate?Coordinating refers to the process of organizing or synchronizing different elements or parts to work together in a harmonious and efficient manner towards a common goal or objective. In other words, coordinating involves bringing together various people, resources, activities, or tasks in a way that maximizes their effectiveness and minimizes any conflicts or inefficiencies.
given to the question.
Scale factor 1/3:
The new coordinates after dilation with a center at the origin by a scale factor of 1/3 are obtained by multiplying the original coordinates by 1/3. Hence, we have:
(0, 6) --> (0, 2)
(0, 4/3) --> (0, 4/9)
(1, 0) --> (1/3, 0)
(1, 4/3) --> (1/3, 4/9)
(6, 0) --> (2, 0)
(4/3, 0) --> (4/9, 0)
(9/2, 0) --> (3/2, 0)
(9/2, 6) --> (3/2, 2)
Scale Factor 3/2:
The new coordinates after dilation with a center at the origin by a scale factor of 3/2 are obtained by multiplying the original coordinates by 3/2. Hence, we have:
(0, 6) --> (0, 9)
(0, 4/3) --> (0, 2)
(1, 0) --> (3/2, 0)
(1, 4/3) --> (3/2, 2)
(6, 0) --> (9, 0)
(4/3, 0) --> (2, 0)
(9/2, 0) --> (27/4, 0)
(9/2, 6) --> (27/4, 9)
Point NOT USED:
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PLEASE HELP ASAP
a human factors expert recommends that there be at least 12 square feet of floor space in a college classroom for every student in the class due to lack of space a university converts a 24 by 27 foot conference room into a classroom find the max number of students the room can accommodate
Answers
Answer:
The room can accommodate 4.5 students.
Step-by-step explanation:
12 square feet = 144 square inches of floor space
24 x 27 = 648 square feet of floor space
648 / 144 = 4.5
The room can accommodate 4.5 students.
What is the rate of change in this graph?
Answers
The rate of change in the given graph is 21/4.
The rate of change defines the speed of a variable changes over another variable. On the given graph, we can calculate the rate of change using the formula:
Rate of change = Δy / Δx
To calculate the rate of change of the given graph, we need to identify 2 points first. We take:
(0, 0)
(4, 21)
Rate of change = Δy / Δx
Rate of change = y₂ - y₁
x₂ - x₁
Rate of change = 21 - 0
4 - 0
Rate of change = 21/4
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Mrs. Trahan samples her class by selecting every third person on her class list. Which type of sampling method is this?
Simple
Systematic
Stratified
Cluster
Answers
The type of sampling method used by Mrs. Trahan is clustering method. The correct option is 4.
A population is divided into many clusters that are representative of homogenous traits and have an equal probability of being included in the sample using the sampling technique known as cluster sampling.
Using this sampling approach, researchers examine a sample that includes a variety of sample criteria, including demographics, lifestyle, background, or any other population characteristic that may be the subject of the research being done. This approach is typically used when a statistical population is made up of comparable but internally heterogeneous groupings. Cluster sampling divides the population into smaller, more productive groups, allowing the researchers to obtain data without picking the full population.
Types of Cluster Samplings:
Single-stage Cluster Sampling Two-stage Cluster SamplingMultiple-stage Cluster SamplingHence this is all about clustering method in sampling technique.
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A restaurant charges $4. 50 for a slice of pizza that is 1/4 of a pizza and $4. 00 for a slice that is 1/6 of a pizza. One day they cooked 6 pizzas that were all the same size. If they sell all the slices, would they make more money by slicing each pizza into fourths or sixths? How much more? Explain
Answers
The restaurant would make more money by slicing each pizza into sixths. The restaurant would make $36 more than if they sliced each pizza into fourths.
To determine if the restaurant would make more money by slicing each pizza into fourths or sixths, we need to calculate the total amount of money they would make for each option.
Option 1: Slicing each pizza into fourths
Option 2: Slicing each pizza into sixths
Each pizza would have 6 slices, so 6 pizzas would have a total of 36 slices.Each slice would be sold for $4.00, so the total amount of money made would be 36 slices × $4.00/slice = $144.Comparing the two options, we can see that the restaurant would make more money by slicing each pizza into sixths. They would make $144 - $108 = $36 more by slicing each pizza into sixths instead of fourths.
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The table shows conversions of common units of capacity.
Units of Capacity
Customary System Units
Metric System Units
1 gallon
3.79 liters
1 quart
0.95 liters
1 pint
0.473 liters
1 cup
0.237 liters
How many deciliters are equivalent to 9 cups? Use the conversion table to find the answer. Round to the nearest tenth.
21.3 dL
42.7 dL
213.3 dL
426.6 dL
Answers
According to the unit conversion table, there are 21.3 dL in 9 cups.
What is unit conversion?The unit conversion is the term used when we convert a unit of a quantity into another unit but the quantity remains the same.
Given that,
A table showing conversions for common units of capacity
Units of capacity
Customary System Units Metric System Units
1 gallon 3.79 liters
1 quart 0.95 liters
1 pint 0.473 liters
1 cup 0.237 liters
We are asked to find there are how many deciliters which is equivalent to 9 cups,
Since,
1 cup = 0.237 liters
1 liter = 10 dL
Therefore,
1 cup = 0.237 x 10 = 2.4 dL
9 cups = 2.4 x 9
= 21.3
Hence, according to the unit conversion table, there are 21.3 dL in 9 cups.
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15) If a square prism has a volume of 104 cubic centimeters and a height of eight centimeters, explain how to
find the area of the side that is a square.
Answers
Answer:
141 cm^2
Step-by-step explanation:
Given: V = 104 cm3, h = 8 cm
Since V = Bh, where B is the area of the base, and h is the height of a prism, then
B = V/h substitute the given values:
B = 104 cm3/8 cm
B = 13 cm2, which tells us that the long side of the square base equals the square root of 13.
The surface area of a prism = L.A. + 2B, where L.A. is the lateral area of the prism.
L.A. = pH, where p is the perimeter of the base.
Since p = 4(square root of 13) cm, h = 8cm, and B = 13 cm2, we have:
Surface Area = pH + 2B = [4(square root of 13) cm](8 cm) + 2(13 cm2) = 115.38 cm2 + 26 cm2 = 141 cm2
Thus, the surface area of the prism is approximately 141 cm2.
EM bisects DEF and m/DEF = 83.6°. Find m/DEM and m/MEF.
m/DEM
Answers
The measure of angles ∠DEM and ∠MEF will be the same which is 41.8 degrees.
What is an angle?The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360°.
Adjacent angle - In math, two points are nearby in the event that they have a typical side and a typical vertex.
EM bisects DEF and ∠DEF = 83.6°. Then the measure of the angle ∠DEM and ∠MEF will be the same. Then we have
∠DEM + ∠MEF = ∠DEF
∠DEM + ∠DEM = 83.6°
2∠DEM = 83.6°
∠DEM = 41.8°
The measure of angles ∠DEM and ∠MEF will be the same which is 41.8 degrees.
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The equation, 3x2 + 6x + 3y2 + 7y + 4 = 0, represents a conic. The conic represented by the equation is a/an because.
Answers
The ratio of the variables makes the equation a circle [tex]x^2\: and \:y^2[/tex] must be equal,
A circle is a particular type of ellipse in mathematics or geometry where the eccentricity is zero and the two foci are congruent. A circle is also known as the location of points that are evenly spaced out from the centre. A circle's radius is calculated by measuring it from the centre to the edge.The line that splits a circle into two identical halves is its diameter, which is also twice as wide as its radius.A circle's radius may be measured, making it a basic 2D shape.The inner and exterior parts of the aircraft are separated by the circles.
Equation of a circle
Circle's standard equation is written as
[tex]x^2+y^2+2gx+2fy+C=0[/tex]
Given the equation of the circle
[tex]3x^2 + 6x + 3y^2 + 7y + 4=0[/tex]
Rearrange the equation
[tex]3x^2 + 6x + 3y^2 + 7y + 4=0\\3x^2 + 3y^2+ 6x + 7y + 4=0\\[/tex]
The equation is a circle because the ratio of [tex]x^2\: and \:y^2[/tex] must be equal,
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Answer:
hope this helps.
Step-by-step explanation:
5/18+4/9 I need help pls NPC
Answers
Answer:
13/18
Step-by-step explanation:
Answer:
13/18
Step-by-step explanation:
5/18 + 4/9 .Steps for adding fractions. Find the least common denominator or LCM of the two denominators
12. The ratio of flour to eggs in a pancake recipe is constant. The pancake recipe uses 5 cups of flour
for each egg.
Cups of Flour
30
Number of Eggs
2
5
Complete the table with the missing numbers using the flour to egg ratio from the pancake recipe
Answers
The required table
Cups of Flour Number of Eggs
10 2
25 5
30 6
What is ratio?The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.
Given, The ratio of flour to eggs in a pancake recipe is constant.
The pancake recipe uses 5 cups of flour for each egg.
Since,
With one egg we need a total number of cups of flour = 5
Thus,
For 2 eggs, we need a total number of cups of flour = 5*2
For 2 eggs, we need a total number of cups of flour = 10
For 5 eggs, we need a total number of cups of flour = 5*5
For 5 eggs, we need a total number of cups of flour = 25
Thus, the required table
Cups of Flour Number of Eggs
10 2
25 5
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How many liters each of 30% and 10% acid should be mixed to obtain 20 liters of 20% acid?
Answers
The quantity of liters of both 30% and 10% acid that will make up the 20liters would be= 15 liters and 5 liters respectively.
How to calculate the liters of both given acids?The quantity of liters of 30% acids ;
= 30+10 = 40
= 30/40×20/1
= 600/40
= 15 liters of 30 % acid will make up 20 liters of 20% acid.
The quantity of liters of 10% acids:
= 10/40× 20/1
= 200/40
= 5 liters of 10% acid will make up 20 liters of 20% acid.
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Find KJ and CB. Show your work.
Answers
The length of KJ is 9 unit.
The length of CB is 10 unit.
What is Mid segment Theorem?The section connecting a triangle's two sides at their midpoints is parallel to and only half as long as the third side.
Given:
12. Using Mid segment theorem
Mid segment= 1/2 of Triangle base
Mid segment= 1/2 x 18
Mid segment (KJ) = 9
13. Using Mid segment theorem
Mid segment= 1/2 of Triangle base
x+ 19 = 1/2(x+ 29)
2x + 38 = x+ 29
x = -9
So, length of CB = x + 19 = 10 unit
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Which job/profession makes the most money?
1. Doctor
2. Microbiologist
3. Chemist
4. Vet
5. Paramedic
6. Writer/Poet
7. Fashion Designer
8. Engineer(of any kind)
Answers
The professions such as doctors, engineers (particularly in fields such as petroleum, software, or aerospace), and certain types of business executives tend to have some of the highest earning potentials.
Which job/profession makes the most money?The income of a job or profession can vary widely based on a variety of factors, such as location, experience, education, and demand.
According to the Bureau of Labor Statistics (BLS) in the United States, the highest-paying occupations as of 2021 are typically in the medical, dental, and managerial fields, with physicians and surgeons ranking as the highest-earning profession. However, it's important to note that there are many other factors that can impact earnings, such as the specific field of medicine, the size and type of organization or company, and geographic location.
Ultimately, the earning potential of a job or profession can depend on a wide range of factors, and it's important to research and consider all of them when deciding on a career path.
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Find the value of x. Round to the
nearest tenth.
12
X=[?]
Answers
X=12 cos (35)
Solution
X=9.8
Assume the distance from San Francisco to Big Sur California is 240 kilometers. Han Fei leaves Big Sur on her bicycle heading for San Francisco at 20 kilometers per hour; at the same time Mohammed leaves San Francisco in his car heading to Big Sur on the same route averaging 40 miles per hour. How far from San Francisco will Han Fei be when Mohammed meets her in his car?
Answers
Answer: When Mohammed meets Han Fei, she will be 74.6 kilometers away from San Francisco.
Step-by-step explanation:
First, we need to convert Mohammed's speed from miles per hour to kilometers per hour, as Han Fei's speed is given in kilometers per hour.
40 miles per hour = 64.37 kilometers per hour (approximately)
Now, let's determine how long it will take Mohammed to reach the point where he meets Han Fei:
time = distance ÷ speed
time = 240 km ÷ 64.37 km/h
time ≈ 3.73 hours
So, after 3.73 hours, Mohammed will meet Han Fei.
In that time, Han Fei will have traveled:
distance = speed × time
distance = 20 km/h × 3.73 h
distance ≈ 74.6 km
Money and finances are considered "taboo" as topics of conversation. However, you have a friend who bragged about
having paid in over $5,500 to Social Security last year. Estimate how much money they earned!
Answers
The amount earned is $88,709.68
What is a social security tax?It is a payroll tax that is paid on wages earned by employees.
We have,
We will assume the current Social Security tax rate for employees as 6.2%.
Now,
The amount earned.
= 5,500 / 6.2%
= 5500 / 0.062
= $88,709.68
Thus,
The amount earned is $88,709.68
Learn more about social security tax here:
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A quantity with an initial value of 200 grows continuously at a rate of
4% per second. What is the value of the quantity after 1.55 minutes, to the nearest hundredth?
Answers
Answer:
8252.88
Step-by-step explanation:
This question is a little tricky. you have to use the time a little differently.
Continuously Compounding formula:
P(t)=P(0)e^(rt)
P(0) = initial or starting value
e = constant, on calculator but around 2.718
r = rate
t = The time. usually expressed annually. For example continuously compounding for 6 months, the time would be 0.5. This question is different because we have to treat seconds as "years"
Final Form:
200((e)^(0.04 * 93))
Answer: 8252.88