A rectangular board is 1.8 meters long and 1.5 meters wide. What is the area of the board in square millimeters?
The area of the rectangular board is 2,700,000 mm².
Explanation:The subject of this question is Mathematics and it's likely suitable for a Middle School student. The question asks for the area of a rectangular board given specific length and width in meters, and requires the answer in square millimeters.
First, let's calculate the area of the rectangular board in square meters (m²) by multiplying the length and the width. So, 1.8 m * 1.5 m equals 2.7 m². Now, to convert the area from square meters to square millimeters (mm²), remember that 1 m² is equal to 1,000,000 mm². Therefore, the area of the board in square millimeters is 2.7 m² * 1,000,000 equals 2,700,000 mm².
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how else can the ratio 14 to 1 be written
PLEASE HELP!! 18 POINTS
16.
(08.06 MC)
A zoo train ride costs $5 per adult and $1 per child. On a certain day, the total number of adults (a) and children (c) who took the ride was 17, and the total money collected was $65. What was the number of children and the number of adults who took the train ride that day, and which pair of equations can be solved to find the numbers? (1 point)
5 childrenand 12 adults
Equation 1: a + c = 17
Equation 2: 5a – c = 65
12 childrenand 5 adults
Equation 1: a + c = 17
Equation 2: 5a + c = 65
12 childrenand 5 adults
Equation 1: a + c = 17
Equation 2: 5a – c = 65
5 childrenand 12 adults
Equation 1: a + c = 17
Equation 2: 5a + c = 65
April works as a courier delivering and picking up packages for a shipping company. Three of the communities on her route form an isosceles right triangle as shown in the figure. There are approximately 48 miles between Old Mill and Clarksville and between Clarksville and Hamilton. Approximately how many miles are there between Old Mill and Hamilton? Round your answer to the nearest mile if necessary.
Define a function f : R → R by the formula
f(x) = 2x − 8.
Prove that f is one-to-one.
Let a, b is in R, and suppose that
f(a) = f(b).
Then
2a − 8 =
Which expression is equal to 7(1+3)
A.) 7+21
B.) 7+3
C.) 1+21
D.) 7+4
I would say D. 7+4 because it is the only one that makes since to me
For which value of x should the expression be further simplified
√14x
56
11
5
Or 39
X^2 + 4x - 21 Factor into two binomials
PLZ I NEED THE ANSWER ;c
What is the next term for the given arithmetic sequence 0,2,4,6
Dominique needs to solve the system of equations by graphing. Which statement is true about the system?
2x-3y=12
y=-3/5x+2
A)Both equations are in slope-intercept form.
B)Neither equation is in slope-intercept form.
C)The first equation is y= 2/3x-4 when written in slope-intercept form.
D)The second equation is 3x+5y=10 when written in slope-intercept form.
Answer:
Option C) The first equation is y= 2/3x-4 when written in slope-intercept form
Step-by-step explanation:
we have
[tex]2x-3y=12[/tex] ----> First equation
The first equation is in standard form
Convert to slope intercept form
Isolate the variable y
[tex]3y=2x-12[/tex]
Divide by 3 both sides
[tex]y=\frac{2}{3}x-4[/tex]
[tex]y=-\frac{3}{5}x+2[/tex] ----> Second equation
The second equation is in slope intercept form
Convert to standard form
Multiply by 5 both sides to remove the fraction
[tex]5y=-3x+10[/tex]
[tex]3x+5y=10[/tex]
Verify each statement
case A) Both equations are in slope-intercept form.
False
Because only the second equation is in slope -intercept form
case B) Neither equation is in slope-intercept form
False
Because, the second equation is in slope -intercept form
case C) The first equation is y= 2/3x-4 when written in slope-intercept form
True (see the procedure)
case D)The second equation is 3x+5y=10 when written in slope-intercept form.
False
Because, the second equation is 3x+5y=10 when written in standard form
How to find the distance between a point and a line
Final answer:
To find the distance between a point and a line, you need to find the equation of the line, find the coordinates of the point, substitute the coordinates into the equation, and calculate the perpendicular distance.
Explanation:
To find the distance between a point and a line, you need to use the formula for the distance from a point to a line. Here are the steps:
First, find the equation of the line.
Next, find the coordinates of the given point.
Substitute the coordinates of the point into the equation of the line to find the perpendicular distance from the point to the line.
The distance between the point and the line is the perpendicular distance found in step 3.
For example, let's say the equation of the line is y = 2x + 3, and the coordinates of the point are (4,5). To find the distance between the point and the line:
The equation of the line is y = 2x + 3.
The coordinates of the point are (4,5).
Substituting the coordinates (4,5) into the equation y = 2x + 3 gives 5 = 2(4) + 3, which simplifies to 5 = 11.
The perpendicular distance from the point to the line is |5 - 11|, which is equal to 6.
Therefore, the distance between the point (4,5) and the line y = 2x + 3 is 6 units.
The sum of 5 consecutive integers is 505
505/5 = 101
so 101 is the middle number, now add the 2 below it and the 2 above it
99 + 100 + 101 + 102 +103 = 505
Why is expected income a large factor in choosing a retirement plan
Expected income is crucial in choosing a retirement plan because it influences permanent income for savings, the adequacy of funds against inflation, and financial security post-retirement.
Choosing a retirement plan is a vital financial decision; expected income plays a large role because it directly affects a person's ability to save and sustains their lifestyle after they retire. The idea of permanent income, which is the average annual income an individual expects to receive for the rest of their lives, influences how much they allocate to retirement savings. It's crucial for asset accumulation and ensuring financial security.
Retirement funds sourced from plans like private company pensions or defined benefits can be fixed and may not keep up with inflation, leading to a potential loss of purchasing power over time. Therefore, understanding one's expected income helps in selecting retirement plans that can adjust and possibly increase over time to hedge against inflation. Additionally, individuals must consider the impact of future income changes on their current saving and consumption patterns.
Behavioral economics factors in human psychology and behavior, suggesting that individuals may not always make rational financial decisions due to a lack of self-control or understanding of long-term benefits, influencing retirement plan choices. Thus, expected income is a significant consideration for individuals when choosing a retirement plan, as it determines their ability to save enough to maintain their desired lifestyle in retirement.
5+1x10 is the answer 60 or 15? there are no parenthesis***
find the mean of the data
Hello There!
Mean: Average of numbers in a set of data.
STEP 1: Add the numbers in the data set. In this case, you would add
10 + 11 + 12 + 13 + 14 + 14 + 14 + 14 +15
Step 2: Divide the sum by the number of digits you added.
In this case you would divide 117 by 9 and you will get a quotient of 13
ANSWER
THE MEAN OF THE DATA IS 13
Describe how to transform this into an expression with a rational exponent. Make sure you respond with complete sentences.
[tex] \sqrt[3]{x^4} ^{5} [/tex]
Thank you !
Rational exponent is an exponent that is fractional in form. Let us dissect this one by one.
An n root means that the number or the variable has a power raised 1 / n. For example, if we have a square root of x, this means that x^(1/2).
So in this case since this is cube root, therefore our total variable is raised to the power of 1 / 3.
Since it is also raised to the power of 5, therefore the total power is 5 / 3. This makes the variable in the form:
(x^4)^(5 / 3)
To simplify this further, our variable x is raised also to the power of 4, therefore we multiply the powers. Which simplify this further into:
x^20 / 3
Answer:
x ^
(20 / 3)
or
[tex] x^{20/3} [/tex]
Which of the following is equal to 5 4/9
An acrobat of mass m slides down a vertical rope of height h. For the first three quarter of her descent she grips the rope with her hands and legs so as to produce a fictional force equal to five-ninth of her weight.she then tighten her grip so that she comes to rest at the bottom of the rope. Sketch a (t .v) graph to illustrate her descent
The acrobat's descent on a time versus velocity graph would show an initial linear increase in velocity due to gravity minus frictional force, followed by a sharp negative slope as she comes to a stop at the bottom.
The acrobat's descent can be analyzed by plotting a time (t) versus velocity (v) graph. Initially, the acrobat experiences a frictional force equal to five-ninths of her weight, which creates constant deceleration. For the first three quarters of the descent, her velocity will increase linearly (assuming constant deceleration) until she tightens her grip, which will cause a sharp decrease in velocity until she comes to a complete stop at the bottom. The graph would show a slope that decreases in magnitude over time and then drops to zero when the acrobat comes to rest.
Example Graph Description:The graph starts at the origin (0,0), indicating that the descent starts from rest.As time progresses, the velocity increases linearly due to the effect of gravity partially opposed by frictional force.Before reaching the bottom, the acrobat applies enough force to stop, leading to a sharp negative slope on the graph that touches the t-axis, indicating a stop.Which of the following inequalities represents a number n that is less than or equal to 3 but greater than –2?
NEED DONE NOW!!!!!!
Three highways connect the centers of three towns and form a triangle. A cell phone company wants to place a new cell tower so that it is the same distance from the centers of the three towns. How can the company find where to place the tower? Explain.Three highways connect the centers of three towns and form a triangle. A cell phone company wants to place a new cell tower so that it is the same distance from the centers of the three towns. How can the company find where to place the tower? Explain.
The company can find where to place the tower by determining the point of concurrency of these three (3) towns.
What is a triangle?A triangle refers to a two-dimensional shape that is typically made up of three (3) sides, three (3) vertices and three (3) angles. This ultimately implies that, a polygon that has three (3) lengths of sides is a triangle.
What is a point of concurrency?A point of concurrency can be defined as a single point that is shared by three (3) or more lines, segments, rays, or planes. Thus, a triangle is considered to be concurrent when at least three (3) lines intersect at a single point.
Based on geometry, the point (circumcenter) that is equidistant from the vertices of the triangular tower would be equal in distance from each of the centers of these three (3) towns.Generally, the circumcenter of a triangle can easily be determined by constructing the point of concurrency of the perpendicular bisectors of a triangle.In conclusion, the company can find where to place the tower by determining the point of concurrency of these three (3) towns, so that they all have the same distance from the centers.
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Answer:
For the tower to be the same distance from each of the centers, the company must find the point that is equidistant from the vertices of the triangle. This is the circumcenter of the triangle and can be found by constructing the point of concurrency of the perpendicular bisectors of the triangle.
The tower needs to be equidistant from the vertices of the triangle.
The tower should be placed at the circumcenter of the triangle.
To find the circumcenter, find the intersection point of the three perpendicular bisectors of the triangle.
Step-by-step explanation:
49pts and brainliest i need this in by 2:33
Mia creates a box plot using 28, 34, 40, 24, 44, 49, and 32 as the data. Which of the following box plots shows the data accurately?
A box plot is drawn with end points at 24 and 49.The box extends from 32 to 48 and a vertical line is drawn inside the box at 38.
A box plot is drawn with end points at 24 and 49.The box extends from 26 to 42 and a vertical line is drawn inside the box at 32.
A box plot is drawn with end points at 24 and 49.The box extends from 30 to 46 and a vertical line is drawn inside the box at 36.
A box plot is drawn with end points at 24 and 49.The box extends from 28 to 44 and a vertical line is drawn inside the box at 34.
Answer: A box plot is drawn with end points at 24 and 49.The box extends from 28 to 44 and a vertical line is drawn inside the box at 34.
Step-by-step explanation:
If a box plot is drawn with end points at 24 and 49, and the box extends from 28 to 44 and a vertical line is drawn inside the box at 34, it would show all data accurately and precisely.
Solve −2x2 +3x − 9 = 0
To solve the equation -2x^2 + 3x - 9 = 0, we can use the quadratic formula. This equation does not have any real solutions, but it has complex solutions involving imaginary numbers.
Explanation:To solve the equation -2x^2 + 3x - 9 = 0, we can use the quadratic formula. Substituting the values a = -2, b = 3, and c = -9 into the formula, we can then simplify to find the solutions for x.
The quadratic formula is given by:
x = (-b ± sqrt(b^2 - 4ac)) / (2a)
Substituting the values, we have:
x = (-3 ± sqrt(3^2 - 4(-2)(-9))) / (2(-2))
Simplifying further, we get:
x = (-3 ± sqrt(9 - 72)) / -4
x = (-3 ± sqrt(-63)) / -4
Since the square root of a negative number is not a real number, this equation does not have any real solutions. The equation has complex solutions, which involve the use of imaginary numbers.
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The average (arithmetic mean) of 5,10,15 and x is 20..What is the x ?
Answer:
x = 50 .
Step-by-step explanation:
Given : Mean of 5,10,15 and x is 20.
To find : What is the x.
Solution : We have given Mean of 5, 10 , 15 and x is 20.
Mean = 20 .
Mean = [tex]\frac{sum\ of \ data}{Number\ of \ data}[/tex].
Mean = [tex]\frac{5+10+15 +x}{4}[/tex].
20 = [tex]\frac{30 +x}{4}[/tex].
On multiplying both sides by 4
20 * 4 = 30 + x .
80 = 30 + x .
On subtracting both sides by 30.
50 = x
Therefore, x = 50 .
There are two numbers, which sum up to 53. Three times the smaller number is equal to 19 more than the larger number. What are the numbers
What does the symbol "kg" represent in the metric system?
Write the number in scientific notation.0.00000184
Kayla has a tshirt store. she sold three times as many white tshirts as blue tshirts. she sold a total of 48 tshirts. How many white tshirts did kayla sell
Solve the equation. 20x-7=5+16x
Elevator 1 in a building moved from ground position to a final position of +17 feet. Elevator 2 in the same building moved from ground to a final position of −22 feet. Which statement best describes the final positions of these two elevators?
Answer:Elevator is +17 above ground level while -22 is below
Step-by-step explanation:
Since it is + and - i know +is positive that mean up and - is negative which mean down so -22 is below while +16 is above
What value of x is in the solution set of 2x – 3 > 11 – 5x?