How do I graph this? Triangle MNP has the following coordinates: M (7,4). N (7,2). P (2,2)
A graph of triangle MNP is shown below.
The perimeter of triangle MNP is equal to 7 + √29 units.
How to calculate the perimeter of this triangle?In Mathematics and Geometry, the perimeter of a triangle can be calculated by using this mathematical equation:
P = a + b + c
Where:
P represents the perimeter of a triangle.a, b, and c represents the side lengths of a triangle.Next, we would determine the distance between each of the coordinates of triangle MNP;
Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]
Distance MN = √[(7 - 7)² + (4 - 2)²]
Distance MN = √4 units.
Distance MN = 2 units.
Distance NP = √[(7 - 2)² + (2 - 2)²]
Distance NP = √(25 + 0)
Distance NP = 5 units.
Distance MP = √[(7 - 2)² + (4 - 2)²]
Distance MP = √(25 + 4)
Distance MP = √29 units.
Now, we can determine the perimeter:
Perimeter of triangle MNP = MN + NP + MP
Perimeter of triangle MNP = 2 + 5 + √29
Perimeter of triangle MNP = 7 + √29 units.
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Christina is buying a $170,000 home with a 30-year mortgage. She makes a $20,000 down payment.
Use the table to find her monthly PMI payment.
A. $51.25
B. $37.50
C. $23.75
D. $42.50
The monthly PMI Payment for Christina's loan is $37.50.The correct answer is option B.
To determine Christina's monthly PMI (Private Mortgage Insurance) payment, we need to find the corresponding interest rate for her loan-to-value (LTV) ratio. The LTV ratio is calculated by dividing the loan amount by the property value.
The loan amount can be calculated by subtracting the down payment from the property value:
Loan amount = Property value - Down payment
= $170,000 - $20,000
= $150,000
Now we can calculate the LTV ratio:
LTV ratio = Loan amount / Property value * 100
= $150,000 / $170,000 * 100
= 88.24%
Since Christina is obtaining a 30-year mortgage, we need to look at the interest rates for LTV ratios between 85.01% and 90%. According to the table, the interest rate for this range is 0.30%.
To calculate the PMI payment, we multiply the loan amount by the PMI rate and divide it by 12 months:
PMI payment = (Loan amount * PMI rate) / 12
= ($150,000 * 0.30%) / 12
= $450 / 12
= $37.50
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The Probable question may be:
Christina is buying a $170,000 home with a 30-year mortgage. She makes a $20,000 down payment.
Use the table to find her monthly PMI payment
Base to loan% = 95.01% to 97%,90.01% to 95%,85.01% to 90%,80.01% to 85%.
30-year fixed-rate loan = 0.55%,0.41%,0.30%,0.19%
15-year fixed-rate loan = 0.37%,0.28%,0.19%,0.17%.
A. $51.25
B. $37.50
C. $23.75
D. $42.50
Helppppp and you get some sweet candyyyy
Kelly is given the following word problem:
Gina runs 5 miles on Saturday and 6 miles on Sunday. How many miles does she run total?
Kelly’s answer is 11. What did Kelly do wrong?
A
She added 5 and 6 instead of multiplying.
B
She subtracted 5 from 6 instead of adding.
C
She didn’t ignore the extra information.
D
She didn’t include units in her answer.
Answer:
your answer is c l hipe this helps u
Answer:
d
Step-by-step explanation:
aint no way in hell its not 11
CF AND AH ARE SKEW PERPENDICULAR PARALLEL
Reason: The two line segments CF and AH point in the same direction, and they never intersect. Therefore, we consider them parallel.
Skew lines are ones that point in different directions. An example of a pair of skew lines would be AB and DE. Skew lines never intersect, but we don't consider them parallel.
Andrew drew 20 drawings and 90 pictures how many times did he draw and painted
Answer:
110
Step-by-step explanation:
90 + 10
The operation is define by a+b=ab-ab
Evaluate
8 *(-4)
The answer is:
-32
Work/explanation:
Remember the integer rule:
\(\blacktriangleright\phantom{333}\sf{a\times(-b)=-ab}\)
In other words, we multiply a positive times a negative which results in a negative product.
Therefore,
8*(-4) = -32
Hence, the answer is -32.A car rental company charge $50 a day and 20 cents per mile for renting a car. Let y be the total rental charge (in dollar) for a car for one day and x be the miles driven. The equation for the relationship between x and y is y = 50 + 20x How much will a person pay who rents a car for one day and drives it 100miles
Answer:$2050.
Step-by-step explanation:
To find out how much a person will pay for renting a car for one day and driving it 100 miles using the given equation, you can substitute x = 100 into the equation y = 50 + 20x and solve for y:
y = 50 + 20x
y = 50 + 20(100)
y = 50 + 2000
y = 2050
Therefore, a person who rents a car for one day and drives it 100 miles will pay $2050.
The coordinates of the vertex of a parabola are (7, −4).
What is the equation of the axis of symmetry of the parabola?
The equation of the axis of symmetry of the parabola is x = 7.
We have,
The axis of symmetry of a parabola is a vertical line that passes through the vertex.
Now,
The equation of the axis of symmetry is the vertical line passing through the x-coordinate of the vertex.
And,
The x-coordinate of the vertex is 7.
Now,
So the equation of the axis of symmetry is x = 7.
Thus,
The equation of the axis of symmetry of the parabola is x = 7.
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help with this question please !
Answer:
angle 8 is congruent to angles 3, 6, and 1
Step-by-step explanation:
If n and q are parallel then corresponding and vertical angles would be congruent. So: angle 8 is congruent to angles 3, 6, and 1.
Find the midpoint M of the line segment joining the points: C = (2, 7) and D= (-8, –5)
Answer:
the answer is (-3, 1)
luiweytie74gtewkgfrewiurhge
Step-by-step explanation:
word word word word
The average financial aid package for students admitted to a particular college five years ago was $49 comma 250. A student organization plans to investigate whether this average has changed for students admitted this year. Define the population parameter of interest and state the null and alternative hypotheses for this investigation.'
Answer:
The parameter of interest = the average financial aid package for students admitted μ.
Null hypothesis H0; μ = $49,250
Alternative hypothesis Ha; μ ≠ $49,250
Step-by-step explanation:
The population parameter of interest is the parameter in which the data is focused on. For the case above, the parameter of interest is the average financial aid package for students admitted.
The null hypothesis (H0) tries to show that no significant variation exists between variables or that a single variable is no different than its mean. While an alternative Hypothesis (Ha) attempt to prove that a new theory is true rather than the old one. That a variable is significantly different from the mean.
Let μ represent the average financial aid package for students admitted given as $49,250.
The null hypothesis is that the average financial aid package for students admitted is equal to $49,250.
H0; μ = $49,250
The alternative hypothesis is that the average financial aid package for students admitted is not equal to $49,250.
Ha; μ ≠ $49,250
Find the radius and diameter of a circular puddle whose
circumference is 220 cm . ( Take ∏ = 22/7)
Answer:
\(r = 35cm\)
Step-by-step explanation:
Given
\(C = 220cm\)
\(\pi = \frac{22}{7}\)
Required
Determine the radius
Circumference (C) is calculated as:
\(C = 2\pi r\)
Where r represents radius
Substitute values for C and \(\pi\)
\(220cm = 2 * \frac{22}{7} * r\)
\(220cm = \frac{44}{7} * r\)
Multiply through by 7/44
\(\frac{7}{44} * 220cm = \frac{7}{44} * \frac{44}{7} * r\)
\(r = \frac{7}{44} * 220cm =\)
\(r = \frac{7 * 220cm }{44} =\)
\(r = \frac{1540\ cm}{44}\)
\(r = 35cm\)
Hence, the radius is 35cm
Fred is buying A New
refrigerator for his
Apartment. His friend has A
4-year-old refrigerator that
he will sell to Fred for only
$200, but the refrigerator
Needs About $350 iN
repairs. The local Appliance
shop hAs A New model for
$615, plus 7% sales tax.
How much sales tax will Fred pay if he buys the new refrigerator?
Fred will pay $43.05 in sales tax if he buys the new refrigerator.
To calculate the sales tax Fred will pay for the new refrigerator, we first need to find the amount of the sales tax.
The cost of the new refrigerator is $615.
To calculate the sales tax, we multiply the cost by the tax rate of 7%:
So, Sales tax = 7% of $615
Sales tax = (7/100) x $615
Sales tax = $43.05
Therefore, Fred will pay $43.05 in sales tax if he buys the new refrigerator.
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how would i anwser this? help pls!
Answer:
Step-by-step explanation:
To get the y values all you need to do is substitute the x value in the equation y=-2/3x+7.
For example:
y=-2/3(-6)=7
-2/3x6=-4
-4+7=3
(-6,3)
You can double check your work by filling the x and y coordinates in the equation and when solved if it it true you know you were correct.
To get the x value, you need to fill in the y in the equation y=-2/3x+7
for example:
5=-2/3x+7
-2=-2/3x
3=x
(3,5)
y=-2/3x+7
y=-2/3(15)+7
y=-10+7
y=-3
(15,-3)
y=-2/3x+7
15=-2/3x+7
8=-2/3x
-12=x
(-12,15)
PLZZZ HELP ME PLZZZ IM STUCK IF U DO HELP ME I LOVEEE YOUUU (^.^)
Answer:
The answer is A. -21
Step-by-step explanation:
-21. J(x)= -4(5)= -20 ; H[J(5)]= -20-1 = -21
Radical form for 2 1/2 -24 1/4 -3 1/2+128 1/4
Answer:
dont know
Step-by-step explanation:
Use rounding to estimate the product. Is your estimate an underestimate or an overestimate? 8 × 9.82
Answer:
Over
Step-by-step explanation:
The lines on the graph below represent the cost of apples at four different stores.
Cost of Apples
10-
9
Total Cost in Dollars
C
2 3 4 5 6 7 8 9 1
Pounds of Apples
At which store is the cost of apples the least?
O A
The store at which the apple will cost the cheapest is: Store A
How to find the slope of the line graph?The formula for the slope between two coordinates is:
Slope = (y₂ - y₁)/(x₂ - x₁)
Now, all the lines in the attached graph pass the origin and so they will all have the coordinate (0, 0)
The slope for each line will give us the cost for each apple in the store.
Thus:
Slope for store A = (3 - 0)/(4 - 0)
Cost for store A apple = $0.75
Slope for Store B = (5 - 0)/(5 - 0)
Cost for store B apple = $1
Slope for Store C = (5 - 0)/(4 - 0)
Cost for store C apple = $1.25
Slope for Store D = (6 - 0)/(3 - 0)
Cost for store C apple = $2
Thus, store A has the cheapest Apple
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Which BEST describes the construction of a triangle if given the segment lengths of 10cm, 5 cm, and 4 cm? Unique Triangle, cannot be determined, triangle not possible, more than one triangle
Answer:
Step-by-step explanation:
a, b, c
a + b > c ; b + c > a ; a + c > b
5 + 4 < 10 ⇒ triangle not possible
Answer:
Triangle not possible.
Step-by-step explanation:
The Triangle Inequality Theorem states that the sum of two sides must be larger than the third side.
5 + 4 = 9
9 cm is not longer than 10 cm.
10 > 9
Therefore, the triangle is not possible..
Michael is trying to show that ABC to congruent to A'B'C
To find the reflection of ΔABC in the x-axis, the points would move as follows:
Point A would move 8 units Points B would remain at same point hence move 0 unitsPoint C would move 8 unitsUsing the original coordinates, Δ A'B'C' is a reflection of Δ ABC in the line?
line x = 4The triangles are?
The two triangles are congruentThe line of reflection Michael used is?
Michael used line x = 4What is reflection?
Reflection as used in geometry is the representation of an image in the mirror image copy. Reflection is done with respect to a line called line of reflection. Images formed are of equal distant to the line of reflection and the images are usually congruent.
Reflection as represented on a graph is most times in x axis or y axis. This axis shows the location of the line of reflection and it is very important when determining the position of the reflected image.
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Find the length of AB
Answer:
10
Step-by-step explanation:
im smart
Please help will mark branlist
Answer:
10
Step-by-step explanation:
After hour, pay increases by 10.
PLEASE HELP SOON THX SO MUCH
an airplane flies 3300 miles with the wind in 3 hrs 18 minutes. it takes 4 hrs 24 mins to make the return flight against the same wind. find speed of airplane and wind.
Answer:
The speed of aeroplane =875 miles/hr and the speed of wind =125 miles/hr.
Step-by-step explanation:
Let’s assume the speed of the plane =x miles/hr
And let the speed of wind =y miles/hr
So, the speed of the aeroplane in the direction of wind =(x+y) miles/hr
Speed of the aeroplane in the opposite direction of wind =(x–y) miles/hr
We know that, distance=speed×time
Then according to the given conditions, we have
3300=(x+y)×(3+(18/60))
here convert 18mins to hour by dividing by 60 and add to 3hrs.
⇒x+y= 3300/3.3
⇒x+y=1000 … (i)
And,
3300=(x-y)×(4+(24/60))
here convert 24mins to hour by dividing by 60 and add to 4hrs.
⇒x-y= 3300/4.4
⇒x-y=750 … (ii)
Adding equation (i) and (ii), we get
2x=1750
⇒x= 1750/2
=875
Substituting the value of x in equation (ii), we get
875−y=750
⇒y=875-750
⇒y=125
Therefore, the speed of aeroplane =875 miles/hr and the speed of wind =125 miles/hr.
Use the graph to answer the question.
Graph of polygon ABCD with vertices at negative 2 comma negative 1, 0 comma negative 4, 4 comma negative 4, 2 comma negative 1. A second polygon A prime B prime C prime D prime with vertices at 5 comma negative 1, 7 comma negative 4, 11 comma negative 4, 9 comma negative 1.
Determine the translation used to create the image.
7 units to the right
3 units to the right
7 units to the left
3 units to the left
The translation used to create the image of the second polygon is A, 7 units to the right.
How to determine translation?To determine the translation used to create the image of the second polygon (A' B' C' D') from the original polygon (ABCD), compare the corresponding vertices.
Original polygon (ABCD):
A (-2, -1)
B (0, -4)
C (4, -4)
D (2, -1)
Image polygon (A' B' C' D'):
A' (5, -1)
B' (7, -4)
C' (11, -4)
D' (9, -1)
To find the translation, calculate the horizontal and vertical differences between the corresponding vertices.
Horizontal difference:
For point A: A'x - Ax = 5 - (-2) = 7
For point B: B'x - Bx = 7 - 0 = 7
For point C: C'x - Cx = 11 - 4 = 7
For point D: D'x - Dx = 9 - 2 = 7
Vertical difference:
For point A: A'y - Ay = -1 - (-1) = 0
For point B: B'y - By = -4 - (-4) = 0
For point C: C'y - Cy = -4 - (-4) = 0
For point D: D'y - Dy = -1 - (-1) = 0
From the calculations, see that the horizontal difference is 7 units for all the corresponding vertices, while the vertical difference is 0 units for all the corresponding vertices.
Therefore, the translation used to create the image of the second polygon is 7 units to the right.
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Mathematical form of the question:
Use the graph to answer the question.
Graph of polygon ABCD with vertices at A (-2, -1), B (0, -4), C (4, -4), D (2, -1). A second polygon A' (5, -1), B' (7, -4), C' (11, -4), D' (9, -1).
Determine the translation used to create the image.
7 units to the right
3 units to the right
7 units to the left
3 units to the left
The height of Tower A is 690 feet more than Tower B. The two towers have a combined height of 1,384 feet. What are the heights of each tower?
Tower B is feet tall
(Simplify your answer. Type an integer or a decimal)
Tower A is feet tall
(Simplify your answer. Type an integer or a decimal.
Step-by-step explanation:
A = 690ft + B
A + B = 1.384ft
(690ft + B) + B = 1.384ft
2B = 1.384ft - 690ft
2B = 694ft
B = 694ft ÷ 2
B = 347ft
A = 690ft + B
A = 690ft + 347ft
A = 1.037ft
Tower A → 1.037 feet
Tower B → 347feet
Which of the following is true about the observed errors associated with estimating the of the dependent variable using the regression line? a. They are the horizontal distances between slopes and y-intercepts. b. The errors are also referred to as critical values. c. They are always maximized by the regression lines. d. The errors can be negative or positive.
The statement, errors can be negative or positive is true about the observed errors associated with estimating the dependent variable using the regression line.
The average separation between the observed values and the regression line is shown by the standard error of the regression (S), sometimes referred to as the standard error of the estimate. Utilizing the units of the response variable, conveniently informs you of how consistently off the regression model is. Measurement error and intrinsic or equation error are the two origins of errors. Typically, the mean of these error components is believed to be zero and they are random. A fast approximation of a 95% prediction interval is that about 95% of the observations should be within plus/minus 2*standard error of the regression from the regression line.
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VI. In a class of 40 students, the marks obtained in Mathematics (out of 50) are as under: 44,50,44,49,42,47,45,42,44,48,49,48,47 49,47,41,45,48,41,48,41,42,47,49,49,48, 50.47.49.48.46.44.45.45.46.44.42.47.48.45 ow answer the following questions: a) b) c) d) e) Find the number of students getting more than 45 marks. Find the number of students getting less than 45 marks. Find the maximum number of students getting the same marks. Find the average marks obtained by the students in the class. Find the number of students getting more than average marks.
a) To find the number of students getting more than 45 marks, we count the students whose marks are greater than 45 in the given list.
In the given list, the students with marks greater than 45 are: 50, 49, 47, 48, 49, 48, 47, 49, 48, 50, 47, 49, 48, 46, 47, 48, 47.
Counting these numbers, we find that there are 17 students who obtained more than 45 marks.
b) To find the number of students getting less than 45 marks, we count the students whose marks are less than 45 in the given list.
In the given list, the students with marks less than 45 are: 44, 44, 42, 41, 41, 42, 41, 44, 44, 42, 45, 45, 45, 44, 45.
Counting these numbers, we find that there are 15 students who obtained less than 45 marks.
c) To find the maximum number of students getting the same marks, we look for the mark that appears most frequently in the given list.
In the given list, the marks obtained by the students are: 44, 50, 44, 49, 42, 47, 45, 42, 44, 48, 49, 48, 47, 49, 47, 41, 45, 48, 41, 48, 41, 42, 47, 49, 49, 48, 50, 47, 49, 48, 46, 44, 45, 45, 46, 44, 42, 47, 48, 45.
Counting the frequency of each mark, we find that the marks 47 and 48 appear most frequently, with a count of 6 each. Therefore, the maximum number of students getting the same marks is 6.
d) To find the average marks obtained by the students in the class, we sum up all the marks and divide by the total number of students.
Total marks = 44 + 50 + 44 + 49 + 42 + 47 + 45 + 42 + 44 + 48 + 49 + 48 + 47 + 49 + 47 + 41 + 45 + 48 + 41 + 48 + 41 + 42 + 47 + 49 + 49 + 48 + 50 + 47 + 49 + 48 + 46 + 44 + 45 + 45 + 46 + 44 + 42 + 47 + 48 + 45
= 1912
Total number of students = 40
Average marks = Total marks / Total number of students
= 1912 / 40
= 47.8
Therefore, the average marks obtained by the students in the class is 47.8.
e) To find the number of students getting more than the average marks, we count the students whose marks are greater than 47.8.
In the given list, the students with marks greater than 47.8 are: 50, 50, 49, 48, 49, 48, 49, 48, 50, 49, 49, 48, 48, 50, 49, 49, 48, 48, 47, 49, 49, 48, 50, 47,
49, 49, 48, 50, 47, 49, 49, 48, 48, 49, 48, 47, 48, 49, 49, 48, 50, 49.
Counting these numbers, we find that there are 40 students who obtained more than the average marks.
A zip wire runs between two posts, 25m apart. The zip wire is at an angle of 10 degrees to the horizontal. Calculate the length of the zip wire.
∘
to the horizontal. Calculate the length of the zip wire
The length of the zip wire, with a 10-degree angle to the horizontal and a distance of 25 meters between the posts, is approximately 25.35 meters.
To calculate the length of the zip wire, we can use trigonometry. Let's consider the triangle formed by the zip wire, where the horizontal distance between the two posts is 25 meters and the angle between the zip wire and the horizontal is 10 degrees.
Using trigonometric functions, we can determine the length of the zip wire. In this case, we'll use the sine function because we have the opposite side (the vertical distance) and we want to find the hypotenuse (the length of the zip wire).
The formula for sine is:
sin(angle) = opposite / hypotenuse
Rearranging the formula, we have:
hypotenuse = opposite / sin(angle)
In this case, the opposite side is the vertical distance, which is h.
So, the formula becomes:
hypotenuse = h / sin(angle)
To find h, we can use the formula for the length of the zip wire:
h = 25 * tan(angle)
Substituting this into the previous formula, we get:
hypotenuse = (25 * tan(angle)) / sin(angle)
Calculating the value, we have:
hypotenuse = (25 * tan(10°)) / sin(10°)
Using a calculator, we find:
tan(10°) ≈ 0.1763
sin(10°) ≈ 0.1736
Substituting these values, we can calculate the length of the zip wire:
hypotenuse ≈ (25 * 0.1763) / 0.1736 ≈ 25.35 meters
Therefore, the length of the zip wire is approximately 25.35 meters.
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3x-30=0
why does it equal 0 and how would I solve for it
Answer: the reason why 3x - 30 = 0 is because x = 10
Step-by-step explanation:
3x - 30 = 0
first we try to get the value of x
so
3x = 30
x = 30/3
x = 10
so the reason why 3x - 30 = 0 is because x = 10
to confirm this
we substitute the value of x=10 into the equation
3x - 30 = 0
3*10 - 30 = 0
30 - 30 = 0
Given that sin(θ)=−2√13/13, and θ is in quadrant III, what is cos(θ)? Give your answer as an exact fraction with a radical, if necessary.
Answer:
Given that sin(θ) = -2√13/13 and θ is in quadrant III, we know that sin(θ) is negative and cos(θ) is also negative. We can use the Pythagorean identity to solve for cos(θ):
cos²(θ) + sin²(θ) = 1
cos²(θ) = 1 - sin²(θ)
cos(θ) = ±√(1 - sin²(θ))
Since cos(θ) is negative in quadrant III, we take the negative square root:
cos(θ) = -√(1 - sin²(θ))
Substituting sin(θ) = -2√13/13, we get:
cos(θ) = -√(1 - (-2√13/13)²) = -√(1 - 4/13) = -√9/13 = -3√13/13
Therefore, cos(θ) = -3√13/13.