The distance between the starting point(initial) and the ending point(last) is known as displacement is 9.46miles.
What is displacement?
Displacement is defined as the change in position of an object. It's a vector volume and has a direction and magnitude. It's represented as an arrow that points from the starting position to the final position. For illustration- If an object moves from A position to B, also the object's position changes. Distance is a scalar volume that refers to" how important ground an object has covered" during its stir. Displacement is a vector volume that refers to" how far out of place an object is" it's the object's overall change in position. Displacement is a defense medium that involves an individual transferring negative heartstrings from one person or thing to another.In the first(1st) part of the race displacement of Erica is
d1 = 5.2 miles at 25(twenty-five) deg North of East
x(ax) and y-component of 1st(first) part of the race will be:
d1 = 5.2*cos 25(twenty five) deg i + 5.2*sin 25(twenty five) deg j
d1 = (4.71 i + 2.20 j) miles (this id d1)
In the second(2nd) part of the race
d2 = 6(six) miles towards north,
So
d2 = (6 j) miles (this is d2)
Now net(accurate) displacement of Erica will be, Using Vector addition(summation):
d = d1(4.71 i + 2.20 j) + d2(6j)
d = (4.71 i + 2.20 j) +(sum) (6 j)
d = 4.71 i +(sum) 8.20 j
So Magnitude of net(accurate) displacement will be:
|d| = [tex]\sqrt{4.71^2+8.20^2}[/tex]
|d| = 9.46 miles(nine.four-six) = distance between starting(initial) point and ending point
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Acme Movers charges $105 plus $40 per hour to move household goods across town. Hank's Movers charges $55 per
Khour. For what lengths of time does it cost less to hire Hank's Movers?
It costs less to hire Hank's Movers for times less than
hours.
Incom
It costs less to hire Hank's Movers for times less than 7 hours.
What time would it cost less to hire Hank Movers?
The equation that can be used to represent the cost of hiring Acme movers is: $105 + $40t
The equation that can be used to represent the cost of hiring Hank's Movers : $55t
Where : t represent number of hours
The inequality sign that would be used is < less than or equal to
$55t < $105 + $40t
Combine similar terms
$55t - $40t < $105
$15t < $105
t < 105 / 15
t < 7 hours
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Express 6 hours 28 minutes and 16 seconds in decimal form. Round your answer to two decimal places.
Answer: 6.47 hours
Step-by-step explanation:
First, you need to change your seconds into terms of minutes.
16 seconds / 60 s in a min = .266 min
Add that to your minutes:
28+.266 = 28.266 minutes
Now convert your minutes into hours
28.266 min/60 min in an hour=.47
Add that to your hours:
6+.47= 6.47 hours total
One angle in a triangle has a measure that is three times as large as the smallest angle. The measure of the
third angle is 45 degrees more than that of the smallest angle. Find the measure of the LARGEST angle.
Answer: The LARGEST angle has a measure of
Answer:
The LARGEST angle has a measure of 81°
Step-by-step explanation:
Let α be the smallest angle
β be the second angle
θ be the third angle.
• One (second) angle in a triangle has a measure that is three times as large as the smallest angle.
Then
β = 3α
• The measure of thethird angle is 45 degrees more than that of the smallest angle.
Then
θ = α + 45
• We know that the sum of the interior angles of a triangle add up to 180°
Then
α + β + θ = 180
Then
α + (3α) + (α + 45) = 180
Then
5α + 45 = 180
Then
5α = 135
Then
α = 27
_______________
β = 3α = 3 × 27 = 81
θ = α + 45 = 45 + 27 = 72
Conclusion :
The LARGEST angle has a measure of 81°
Write an inequality and then solve.
9. A freight elevator can safely hold no more
than 2200 pounds. An elevator operator must
take 60-pound boxes to a storage area. If the
operator weighs 155 pounds, how many boxes
can be safely moved at one time?
Let the number of boxes be x.
The total weight of the boxes is 60x.
Adding the operator, the total weight is 60x+155, which is no more than 2200.
[tex]60x+155 \leq 2200 \\ \\ 60x \leq 2045 \\ \\ x \leq 34.08333... \\ \\ \lfloor x \rfloor =\boxed{34}[/tex]
What is the slope of y = arcsin(x) when x=0.4?
(You can compute arcsin(x) = sin-1(x) by pressing the “inverse” or “second function key”then pressing the “sin" key. Do this calculation in degrees, so arcsin(1)=90.)
Answer: about 0.41
Step-by-step explanation:
Use calculator
[tex]arcsin=sin^{-1}x\\\\\boxed{sin^{-1}(0.4) = 0.41151684}[/tex]
I don’t get it and it’s confusing me I need help
whats the distance between points p1=(-3,5) P2=(4,2)
Step-by-step explanation:
First, find the vector.
= (4,2) - (-3,5)
= (4-(-3),2-5)
= (7,-3)
And then, find the distance.
= √(7² + (-3)²)
= √(49 + 9)
= √58 ✓
Somebody know what’s the endpoint and midpoint?
Answer:
The point in the middle/center of the line joining two points (also known as endpoints) is called a midpoint. Given one endpoint and a midpoint, the other midpoint can be calculated using the midpoint formula.
Step-by-step explanation:
The point in the middle/center of the line joining two points (also known as endpoints) is called a midpoint. Given one endpoint and a midpoint, the other midpoint can be calculated using the midpoint formula.
1=|8-2y| what’s the value of y
Answer:
y=-7/2
Step-by-step explanation:
1=|8-2y|
1=8+2y
-7=2y
2y=-7
y=-7/2
(2+i)-(5-4i)
Find the difference of the following expression
Answer:
-3 + 5i
Step-by-step explanation:
We can remove the parentheses
2 + i - 5 + 4i
Collect the like terms and do the math
-3i + 5i
What’s the correct answer answer asap
Answer:
The answer should be B.
Joshua purchased a game card for the arcade for a total of $20. He played three basketball hoop games for $2.25 each and two rounds of air hockey for $1.75 each. How much did he have left on the game card?
1.)$ 13.50
2.)$ 10.25
3.)$ 9.75
4.)$ 6.75
Answer:
b
Step-by-step explanation:
Joshua had $9.75 left on the game card (option 3).
Joshua's expenses on the game card can be calculated as follows:
Cost of playing three basketball hoop games = 3 games * $2.25/game
Cost of playing three basketball hoop games = $6.75
Cost of playing two rounds of air hockey = 2 rounds * $1.75/round
Cost of playing two rounds of air hockey = $3.50
Total expenses = $6.75 + $3.50
Total expenses = $10.25
Joshua originally had $20 on the game card, and he spent $10.25. To find out how much he had left, subtract his expenses from the original amount:
Amount left = $20 - $10.25
Amount left = $9.75
So, Joshua had $9.75 left on the game card.
The correct answer is 3.) $9.75.
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Given a graph for the transformation of f(x) in the format g(x) = f(x) + k, determine the k value.
Ok = -3
Ok = 1
Ok = 4
Ok=5
-8 -7
f(x)
-6 -5
y¹¹
-10
g(x)
4-
-3 -2 -1 0
-4-
-2
-3
-4
-5
Answer:
4
Step-by-step explanation:
g(x) is the graph of f(x) shifted up 4 units.
A rectangular piece of metal is 5 in. longer than it is wide. Squares with sides 1 in. long are cut from the four corners, and the
flaps are folded upward to form an open box. Which equation indicates that the volume of the box is 56 in.³?
The equation which shows the volume of rectangular box is w² + 5w - 56 = 0.
What is defined as the rectangle?A rectangle is a two-dimensional (2D) shape with opposite sides that are parallel as well as equal to each other and four right angles.
The breadth (width) of a rectangle is the shorter side, and the length is the longer side.
The metal's length is 5 inches longer than its width. However, we fold up 1-inch flaps on every side, resulting in a 1-inch box height and an 2-inch decrease in length and width (1 inches on each side). Because the length and width both decrease in the same amount, the length remains 5 inches longer than that of the width.Then, the equations are as follows:
l = w + 5
The height of the box will be 1 inch which is cut and folded upward.
vol = l x w x h = 56 in³
Substitute the value of l in the equation.
56 = (w + 5)(w)(1)
56 = w² + 5w
w² + 5w - 56 = 0
Therefore, the equation which represent the volume of the rectangular box on 56 in.³ is w² + 5w - 56 = 0.
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HELP PLEASE!!!!!! Anaya bought a sweater that was on sale. The sweater originally cost $34.50 but was purchased for $27.60. What percentage of the original price was the discount?
Answer: 80%. Hope this helps, please consider making me Brainliest.
Step-by-step explanation:
To find the percentage, divide the sale cost by the original cost:
27.60/34.50
Let's multiply both sides by 10 to make the operation easier:
27.6/34.5 ( I eliminated the zero's because they kind of have no use) -->
276/345, now solve:
276/345 = 0.8
0.8 = 80%
The percentage is 80%.
The governor of state A earns $54,900 more than the governor of state B. If the total of their salaries is $310,850, find the salaries of each.
need to find a and b
Answer:
$127975, $182875
Step-by-step explanation:
Let the salary in state A be x. Then, the salary in state B is x+54900.
[tex]x+x+54900=310850 \\ \\ 2x=255950 \\ \\ x=127975 \\ \\ x+54900=182875[/tex]
A toll-free consumer information line answered 105 of 120 questions in one day. What is the daily success rate of the information line?
The daily success rate of the toll-free answers is 87.5%.
What is described as a percentage?A percentage is a fraction of a whole represented as a number from zero and 100. Nothing is zero percent, everything is 100 percent, 50 per cent of everything is fifty percent, and nothing is zero percent.To calculate a percentage, divide this same portion of the total by the total and multiply by 100.Now, as per the given data;
The number of consumer information asked in one day is 120.
Total number of toll-free consumer's question answered = 105.
To find the daily success rate, determine the percentage of 105.
Let the x% of the total be 115.
Thus, x% of 120 = 105
x × 120/100 = 105
12x = 1050
x = 1050/12
x = 87.5 %
Therefore, the answer rate of the toll-free is 87.5%,
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The temperature drops to 15 degrees below zero. What is a real world example to make 0 in this situation?
Here are the examples that combine to make zero:
Two month ago, the temperature was 15 degrees. This morning, the temperature dropped to 15 degrees below zero.
Michael has $0 in his account. He makes a purchase of $75. Later in the day, he deposits 75 in the account.
An elevator rises to the ninth floor and she then takes the elevator from the ninth floor to the ground floor.
The parking garage is located 4 floors below ground level. But, her office is 4 floors above ground level.
What are the real world examples?
In order for the examples to combine to make zero, there has to be a positive number and a negative number. A positive number is a number that is greater than zero. A negative number is a number that is less than zero.
In order for the positive and negative number to make zero, they have to be added together. Addition is determining the total value or summing two or more numbers. Addition is one of the four basic operations in mathematics.
Two month ago, the temperature was 15 degrees. This morning, the temperature dropped to 15 degrees below zero. -15 + 15 = 0
Michael has $0 in his account. He makes a purchase of $75. Later in the day, he deposits 75 in the account. - 75 + 75 = 0
An elevator rises to the ninth floor and she then takes the elevator from the ninth floor to the ground floor. + 9 - 9 = 0
The parking garage is located 4 floors below ground level. But, her office is 4 floors above ground level. = -4 + 4 = 0
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55) Lenny has $3.69 in pennies,
dimes, and quarters. The number
of pennies is three more than
the number of dimes. The number
of quarters is twice the number
of dimes. How many each coin does
he
have?
Answer:
For each coin he has 6 dimes, 12 quarters, and 9 pennies.
Select all that apply to a segment bisector.
A segment bisector intersects anywhere.
A segment bisector intersects at the midpoint.
A segment bisector cuts the segment into two equal pieces.
A segment bisector can bisector line.
The statements that apply to a segment bisector are:
A segment bisector intersects at the midpoint.A segment bisector cuts the segment into two equal pieces.What does a segment bisector do?A segment bisector intersects the midpoint of a segment such that it is able to divide/ cut the segment into two equal pieces.
This means that a segment bisector can also be said to create two congruent segments. A segment bisector would also be perpendicular to the segment.
In conclusion, a segment bisector intersects at the midpoint and cuts a segment into equal pieces.
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Form an equation in x and solve
Answer:
x+(90°-0.5x)=3x
Step-by-step explanation:
Each of the two unknown angles in the triangle is 90°-0.5x because the triangle is isosceles.
So, by the exterior angle theorem, x+(90°-0.5x)=3x.
When the chef turned the new freezer on, the temperature on the internal thermometer was 2 °C.
After breakfast had been served, the temperature had gone down by 15 °C.
What was the new temperature?
Answer: -13 °C.
Step-by-step explanation:
2 lines intersect. A line with points A, B, D intersects a line with points E, B, C at point B, forming 4 angles.
In the diagram, which angles are vertical angles? Select two options.
The angles that are vertical angles are:
<EBD and <ABC
<ABE and <CBD
What are Vertical Angles?When two straight lines intersect at a point, they form two pairs of angles that are directly vertically opposite each other. These pairs of angles are called the vertical angles.
Given the image below that shows two lines intersecting at point B, they form two pairs of angles that are directly vertically opposite each other, which are:
<EBD and <ABC
<ABE and <CBD
These two pairs of angles are called vertical angles.
Therefore, the angles that are vertical angles are:
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Write the mixed number 9 3/5 as an improper fraction
===========================================
Explanation:
Use the formula
a & b/c = (a*c + b)/c
So,
9 & 3/5 = (9*5+3)/5 = (45+3)/5 = 48/5
2(2x - 5) = 3x + x - 2x What is the solution of the equation? X =
Answer:
Step-by-step explanation:
2(2x-5)=3x+x-2x
4x-10=3x+x-2x
4x-10=2x
4x-10+10=2x+10
4x=2x+10
2x=10
2/2
10/2=5
x=5
The solution to the equation 2(2x-5) = 3x + x - 2x is x = 5
Given data:
To solve the equation 2(2x - 5) = 3x + x - 2x, we will simplify and solve for x.
Step 1: Distribute the 2 to the terms inside the parentheses:
4x - 10 = 3x + x - 2x
Step 2: Combine like terms on both sides of the equation:
4x - 10 = 2x
Step 3: Subtract 2x from both sides to isolate the variable x:
4x - 2x - 10 = 0
Simplifying:
2x - 10 = 0
Step 4: Add 10 to both sides to eliminate the -10 term on the left side:
2x - 10 + 10 = 0 + 10
Simplifying:
2x = 10
Step 5: Divide both sides by 2 to solve for x:
(2x)/2 = 10/2
Simplifying:
x = 5
Hence, the solution is x = 5.
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For the equation, find three ordered pair solutions by completing the table. Then use any two of the ordered pairs to graph the equation.
For the linear function x - y = 3, three ordered pairs are given as follows:
x = 3, y = 0.x = 1, y = -2.x = 0, y = -3.Using points (3,0) and (0,-3), the graph of the function is given at the end of the problem.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.In this problem, the function is:
x - y = 3.
In standard notation:
y = x - 3.
Hence three pairs of points are given as follows, replacing the value of x in the equation to find y.
x = 3, y = 0.x = 1, y = -2.x = 0, y = -3.The graph of the function is given at the end of the answer.
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49.95 pair of shoes;5% tax
the price of the computer is 899$ the tax rate is 7% what is the sales tax on this computer in dollars and cents
The sales tax on this computer in 62 dollars and 93 cents
What is the sales tax on this computer in dollars and cents?The given parameters
Price = $899
Tax rate = 7%
The sales tax on this computer in dollars and cents is calculated as
Sales tax = Price * Tax rate
This gives
Sales tax = $899 * 7%
Evaluate
Sales tax = $62.93
Hence, the sales tax on this computer in 62 dollars and 93 cents
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The price of a shirt has been discounted by $20. The sale price is $25.95. What percent of the original list price is the discount?
Answer:
that's like 77% off if im reading this right
Step-by-step explanation:
In a salad recipe, the ratio of carrots to broccoli must remain constant. The table below shows some possible combinations of carrots and broccoli.
Salad Ingredients
Carrots
Broccoli
3
9
4
12
6
18
7
21
If only whole vegetables can be used, what is the fewest number of vegetables that can be used to make this salad?
A.1
B.3
C.4
D.12
Answer:
Evaluate the numerical expression. 1/4 - (- 5/8)
Step-by-stepexplanation:
Answer: pretty sure 4
Step-by-step explanation:
took test
yeaswass