Answer:
Point B coordinates' are: (3.2, 1.6)
Step-by-step explanation:
Since this is a rhomboid the diagonals AC and OB, must be perpendicular to each other. Then we can find first the equation of the line where segment AC lies, seeing that this line will cross the y axis at the point (0,4), and the x axis at the point (2, 0). The line can then be obtained by calculating the slope of the segment that joins the two points, and then using that the line's y-intercept must be at the point (0, 4):
\(slope=\frac{0-4}{2-0} =-2\)
then the equation of the line for segment AC must be:
\(y=-2x+4\)
Next, we calculate the equation of a perpendicular line to the previous one, and that passes through the point (0, 0) to determine the equation of the line that contains the segment OB. Recall that the perpendicular line to one of slope m must have a slope given by: -1/m (the opposite of the reciprocal of "m". Then this new perpendicular line passing through (0, 0) must be given by:
\(y=\frac{1}{2} x+0\\y=\frac{1}{2} x\)
Now we can find the point at which both lines intersect:
\(\frac{1}{2} x=-2x+4\\\frac{1}{2} x+2x=4\\\frac{5}{2} x = 4\\x=\frac{8}{5}\)
and therefore the y value of the intersection point can be calculated via:
\(y=\frac{1}{2} x\\y=\frac{1}{2} (\frac{8}{5} )\\y=\frac{4}{5}\)
Then, point point B must be located at an x value that doubles the x value of the intersecting point, and similarly the y value of point B must be at the double of the value of the intersection point we just calculated. That is:
Point B = \((2\,*\frac{8}{5} ,\,2\,*\frac{4}{5} )=(\frac{16}{5} ,\frac{8}{5}) =(3.2,1.6)\)
We can see the coordinates of point B and the lines we just generated in the attached image.
[44-3] Exercise designed to see CP as a self-contained
module:
use CP to the get the 1st part of conjunction; use the
conditional as a premise to get the 2nd part; & be
careful not to take the 2nd part of conjunction from CP
C: (H -> M) & ~F
1: ~H V ~F
2: ~M -> F
3: (~H V M) -> ~F
M is true, which is the first part of the conjunction, and H must be wrong.
To get the first part of conjunction, use CP; to get the second part, use the conditional as a premise, but don't take the second part of conjunction from CP. With that said, let's look at the premises and the conclusion that this practice can generate.
C: (H → M) & ~F
1: ~H V ~F
2: ~M → F
3: (~H V M) → ~F
The first premise says that H implies M and F is not true. Premise two says that ~M implies F.
The third premise says that ~H or M implies ~F.
The idea here is to use CP to get the first part of the conjunction from the first premise, which is H → M. This means that either H is false, or M is true.
The second premise gives you ~M → F, which means that if ~M is correct, F must be correct. Therefore, M is true, which is the first part of the conjunction.
The third premise says that if ~H or M is correct, ~F must be true. We know that M is correct because of the first premise, so if ~H is correct, then ~F must be correct, which is the second part of the conjunction. The first premise gives you M.
The second premise gives you ~M → F.
This means that ~M is false, so F must be correct. The third premise says that if ~H is correct, ~F must be correct, and we know that F is right, so H must be wrong.
In conclusion, to get the first part of conjunction, use CP. To get the second part, use the conditional as a premise, but don't take the second part of conjunction from CP. The first premise gives you H implies M and F is not true. Premise two says that ~M implies F. The third premise says that ~H or M implies ~F. Therefore, M is true, which is the first part of the conjunction, and H must be wrong.
To know more about conjunction visit:
brainly.com/question/32355977
#SPJ11
What is the inverse of the function fx) = 2x + 1?
Answer:
X=2y+1
X-1/2=y
you run a one-sample z test (z.test) in excel and get the following result: 0.7326 what does the output of 0.7326 represent? group of answer choices the sample value the critical value the one-tailed probability value the significance level
The output of 0.7326 represents the test statistic (Z-score) computed from the 1-sample Z-test in Excel.
It tells you how many standard deviations the sample mean is from the population mean under the null hypothesis.
A test statistic (Z-score) is a numerical value used in statistical hypothesis testing to assess the evidence against the null hypothesis.
A test statistic measures the difference between a sample statistic (eg sample mean) and the corresponding population parameter (eg population mean) assuming the null hypothesis is true.
For the Z-test, the test statistic is computed as
z = (x - μ) / (σ / √n)
where x = sample mean,
μ = population mean,
σ= population standard deviation,
and n = sample size.
The resulting Z-score indicates how many standard deviations the sample mean is from the population mean, assuming the null hypothesis is true.
learn more about test statistics (Z-score)
brainly.com/question/30792829
#SPJ4
PLEASE HELP WITH THIS PLEASE
s is inversely proportional to t.
When s = 0.6,t = 5
Work out t when s = 6
Answer: t = 50 when s = 6
Step-by-step explanation:
s = 0.6; t = 5
s = 6
6 ÷ 0.6 = 10
5 × 10 = 50
s = 6; t = 50
Hope this helps!
Show that the equation x ^ 3 + 6x - 10 = 0 has a solution between x = 1 and x = 2
WILL GIVE BRAINLIEST
Find the Coordinates of the midpoint of a segment with the given endpoints. C (32, -1), D (0, -12)
Answer:
(16,-1)
Step-by-step explanation:
Answer:
\( x \: midpoint = \frac{x1 + x2}{2} \)
\(y \: midpoint = \frac{y1 + y2}{2} \)
subs points into formula:
\(x = \frac{32 + 0}{2} = 16 \\ y = \frac{ - 1 + ( -12 )}{2} = \frac{ - 13}{2} \)
midpoint is:
\((16, \frac{ - 13}{2} )\)
Jacob and issac decided to run to the basketball court after school the basketball court is 5 1/4 Miles from school the boys run at a pace 3 3/8 miles per hour
Answer: \(1\dfrac{5}{9}\text{ minutes}\)
Step-by-step explanation:
Complete question is provided in the attachment below.
Given: Jacob and Issac decided to run to the basketball court
Distance between basketball court and school = \(5\dfrac{1}{4}\) miles
\(=\dfrac{21}{4}\) miles
Speed = \(3\dfrac{3}{8}\) miles per hour
\(=\dfrac{27}{8}\) miles per hour
Since, time = (distance) ÷ ( speed)
Now, the time taken by boys to arrive at the basketball court = \(\dfrac{21}{4}\div\dfrac{27}{8}\) hours
\(=\dfrac{21}{4}\times\dfrac{8}{27}\\\\=\dfrac{7\times2}{9}=\dfrac{14}{9}\\\\=1\dfrac{5}{9}\text{ minutes}\)
Hence, the required length of time = \(1\dfrac{5}{9}\text{ minutes}\)
is this proportional, non-proportional, both or neither?
Answer:non proportional
Step-by-step explanation:
4 movie tickets cost $48. At this rate, what is the cost of:
5 movie tickets?
11 movie tickets?
Answer:
5 tickets are 60 bucks and 11 tickets are 132 bucks
Step-by-step explanation:
Since 4 movie tickets cost 48 bucks, 4 x 12 equals 48. So a ticket is 12 bucks each, which means 5 tickets are 60 bucks, and 11 tickets are 132.
Look at the equations below. Find a pair of equations whose lines are perpendicular.
The pair of equations whose lines are perpendicular is (d) y = 1/6x + 3; y = -6x - 3
Find a pair of equations whose lines are perpendicular.from the question, we have the following parameters that can be used in our computation:
The pair of equations
By definition;
The slopes of perpendicular lines are opposite reciporcals
So, we have
(a) -1/3 and -3 false
(b) -3 and -6 false
(c) 3 and 3 false
(d) 1/6 and -6 true
Hence, the equations are (d) y = 1/6x + 3; y = -6x - 3
Read more about linear relations at
https://brainly.com/question/30318449
#SPJ1
Examine the graph of the function. What is the rate of change of the function? NEED AN ANSWER ASAP, ASSIGNMENTS DUE BEFORE JUNE 6
Could you please provide the units
Help due today NO FILES NO LINKS
Answer:
The graph that is in the bottom left corner.
Step-by-step explanation:
Hope this helps:)
Answer:
The third graph
Step-by-step explanation:
You walk in a straight line for 75 m at an angle of 153 ∘
above the positive x axis. Part A What is the x component of your displacement? Express your answer to two significant figures and include appropriate units. X Incorrect; Try Again; 11 attempts remaining Part B -What is the y component of your displacement? Express your answer to two significant figures and include appropriate units.
The x component of the displacement is incorrect and needs to be recalculated. The y component of the displacement can be determined using trigonometry.
To find the x component of the displacement, we need to determine the horizontal distance covered in the given direction. The angle of 153 degrees above the positive x-axis suggests that the direction deviates from the positive x-axis in a counterclockwise direction. Since the angle is measured from the positive x-axis, it falls in the second quadrant.
To calculate the x component, we can use trigonometry. The x component is given by the formula:
x = displacement * cos(angle)
In this case, the displacement is 75 m, and the angle is 153 degrees. Converting the angle to radians (since trigonometric functions in most programming languages use radians), we have:
x = 75 m * cos(153°) = -71.61 m (rounded to two significant figures)
Therefore, the x component of the displacement is -71.61 m.
For Part B, to determine the y component of the displacement, we again use trigonometry. The y component is given by the formula:
y = displacement * sin(angle)
Using the same values as before, we have:
y = 75 m * sin(153°) = 43.50 m (rounded to two significant figures)
Therefore, the y component of the displacement is 43.50 m.
Learn more about trigonometry here:
https://brainly.com/question/11016599
#SPJ11
Please help. It is an easy maths question I am just dum
Can someone pls help? Thanks
what were descartes’ chief contributions to mathematics?
Answer:Descartes’s chief contributions to mathematics were his analytical geometry and his theory of vortices, and it is on his researches in connection with the former of these subjects that his mathematical reputation rests. Who is Rene Descartes is he known for? Descartes has been heralded as the first modern philosopher.
Step-by-step explanation:
I need some help with these special triangles. I need help with all questions except 19. Thank you in advance.
Special triangles are triangles that have certain angles and side lengths that make them easy to work with in geometry problems.
Here are some common special triangles and their properties:
1. 45-45-90 triangle: This is an isosceles triangle with two 45-degree angles and one 90-degree angle. The sides are in a ratio of 1:1:sqrt(2). So if one leg of the triangle is x, then the other leg is also x, and the hypotenuse is x*sqrt(2).
2. 30-60-90 triangle: This is also an isosceles triangle, but with one 60-degree angle and one 30-degree angle. The sides are in a ratio of 1:sqrt(3):2. So if the shorter leg of the triangle is x, then the longer leg is x*sqrt(3), and the hypotenuse is 2x.
To use these triangles in geometry problems, you can often use the Pythagorean theorem or trigonometric functions. For example, if you know the hypotenuse of a 45-45-90 triangle is 10, you can find the length of the legs by dividing 10 by sqrt(2). If you know one leg of a 30-60-90 triangle is 3, you can find the length of the other leg by multiplying 3 by sqrt(3).
To know more about hypotenuse visit:
https://brainly.com/question/29407794
#SPJ11
Need answer FAST!: What is the area of the triangle given the graph?
Answer:
1/2×b×h
1/2×7×4 =area
a=14
give brainlist
Answer:
A=(l*w)/2
a=7*4/2
A=28/2=14
the answer is 14 I think
Please help!!!
If b⊥c and b⊥d, then c ? d
Answer:
C and D are parallel
Step-by-step explanation:
If b⊥c and b⊥d, then that means that they are both parallel because they both have a 90 degree anglewith line B.
Answer:
| | (Parallel)
Step-by-step explanation:
I'm assuming that is what it is asking. if b and c are perpendicular, that means they form 90 degrees on all angles. The same for b and d. So if both c and d are perpendicular to b, then they are parallel.
1. A woman deposits $10000 in a bank. The interest rate per annum is 8% How much will she have in the account in 15 years to the nearest $?
Answer:
The answer is $31,722.
Step-by-step explanation:
10,000 x 1.08 = 10,800
Do this 14 more times, your answer times 1.08.
You end up with 31,721.6911418.
Rounded to the nearest dollar, that would be $31,722.
Find the pressure in N/m^2 exerted by a force of 42 N on an area of 7 m^2.
Answer:
Answer:
Force = 42 N
Area = 7 m^2
Pressure = Force/Area
= 42/7
= 6 N/m^2.
Step-by-step explanation:
got it from brainly
please help in math!!! i need help in both (a) and (b) !! brainliest to who answers both!!
Part A
Answers:
Number of terms = 2Type = BinomialVariables = p and qNumerical coefficients = 4 and 7Degree = 3-------------------------
Explanation:
The two terms are separated by a plus sign. Since we have two terms, we have a binomial.
bi = 2nomial = names or termsThe variables are p and q, acting as placeholders for unknown numbers.
The coefficients are the numbers to the left of the variables, which are the 4 and 7.
The degree of multivariable polynomials is found by adding up the exponents for each term, then picking the largest sum. In each case, we get a sum of 3 for each monomial. The degree of the entire polynomial is therefore 3.
==============================================
Part B
Answer: t^3 - 20t + 26
-------------------------
Explanation:
We have an expression of the form
(6t^3-3t+5) - x = (5t^3 + 17t - 21)
which rearranges to
-x = (5t^3 + 17t - 21) - (6t^3-3t+5)
-x = 5t^3 + 17t - 21 - 6t^3 + 3t - 5
-x = (5t^3 - 6t^3) + (17t+3t) + (-21-5)
-x = -t^3 + 20t - 26
x = -(-t^3 + 20t - 26)
x = t^3 - 20t + 26
What is 3 x 49?
A. 300
B. 147
C. 89
I am not good at multiplying. 100 points and brain list!
Answer:
B its 147
Step-by-step explanation:
Name a line that passes through point D
Answer:
BC
Step-by-step explanation:
its easy d will keep going as shown the arrow so when its pass c it will be in between makinn it BC (i cant explain well but thats the answer)
At a real estate agency, an agent sold a house for $343,000. The commission rate is5.5 % for the real estate agency and the commission rate for the agent is 25% of the amount the real estate agency gets. How much did the agency make on the house?
Answer:
18,865
Step-by-step explanation: 343000X 5.5%=$18,865
Maria needs to wraps the box shown below with no overlap of the wrapping paper. How much wrapping paper does she need?
As each side of the cube has a surface area of 24in².the total amount of wrapping paper needed is 64in².
What is surface area?Surface area is the total area of a three-dimensional object's surface, including the area of its faces and any curved surfaces.
To calculate the amount of wrapping paper needed for the cube, we can use the formula for the surface area of a cube:
SA = 6 x (side)²
In this case, the side of the cube is 2in,
so the SA = 6 x (2in)² = 24in²
To get the amount of wrapping paper needed, we would need to multiply this by 4, as each side of the cube has a surface area of 24in².
Therefore, the total amount of wrapping paper needed is
24in² x 4 = 96in²
To convert this to a square, we would need to divide it by 4, as each side of the square is equal in length.
Therefore, the total amount of wrapping paper needed is
96in² / 4
= 24in x 4
= 64in².
For more questions related to cube
https://brainly.com/question/13329957
#SPJ1
magdalena left out a statement from the proof shown. which statement is best explained by the alternate exterior angles theorem?
The statement which is best explained by the alternate exterior angles theorem is ∠1 ≅∠2.
What do you mean by angles?
When two rays are linked at their ends, they create an angle in geometry. The sides or arms of the angle are what are known as these rays.
We know that, alternate exterior angles theorem states that, when two parallel lines are cut by a transversal line, the resultant exterior angles are congruent.
∠1 and ∠2 are both alternate exterior angles.
Therefore, the correct answer for the following problem is ∠1 ≅∠2.
To know more about angles, go to link
https://brainly.com/question/11900288
#SPJ4
Christina also invests $10,000, but instead chooses to invest into a passively managed index fund that is linked to the S&P 500, with an expense ratio of 0.2%. Her investment also earns a 7% rate of return. How much did she make in one year on her investment with the 7% rate of return? How much does she pay in fees for her passively managed index fund? At the end of the year, what’s the total value (AFTER FEES) of Christina’s mutual fund?
a. The return on investment is $700.
b. The payment should be $20.
c. The total value is $10,680.
Calculation of the return on investment, payment and total value:a.
Since the return on investment is 7%
And, the invested amount is $10,000
So, the return on investment should be
= 7% of $10,000
= $700
b. Since the expense ratio is 0.2%
So, here the payment be like
= 0.2% of $10,000
= $20
c. The total value should be
= $10000-$20 +$700
= $10680
Learn more about fund here: https://brainly.com/question/18641093
a food server examines the amount of money earned in tips after working an 8-hour shift. the server has a total of $95 in denominations of $1, $5, $10, and $20 bills. the total number of paper bills is 26. the number of $5 bills is 4 times the number of $10 bills, and the number of $1 bills is 1 less than twice the number of $5 bills. write a system of linear equations to represent the situation. (assume x
The solution to the system equation is (x, y, z, w) = (23, 12, 3, 1).
What is equation?
An equation could be a formula that expresses the equality of 2 expressions, by connecting them with the sign =
Main body:
Here is a system of linear equations that represents the situation.
x +5y +10z +20w = 133 . . . total amount earned
x +y +z +w = 39 . . . . . . . . . total number of bills
y = 4z . . . . . . . . . . . . . . . . . . the number of 5s is 4 times the number of 10s
x = 2y -1 . . . . . . . . . . . . . . . . the number of 1s is 1 less than twice the number of 5s
_____
We can substitute for x and z in the first two equations:
... (2y-1) +5y +10(y/4) +20w = 133
... (2y-1) +y +(y/4) +w = 39
These simplify to
... 9.5y +20w = 134
... 3.25y +w = 40
Solving by your favorite method, you get
... y = 12
... w = 1
So the other values can be found to be
... x = 2·12 -1 = 23
... z = 12/4 = 3
hence ,The solution to the system is (x, y, z, w) = (23, 12, 3, 1).
to know more about equation , visit
https://brainly.com/question/2972832
#SPJ4