Answer:
\( m\angle GET = 67\degree \)
Step-by-step explanation:
\( m\angle GET = \frac{1}{2} \times \bigg(m\widehat {TN} - m\widehat {TG} \bigg) \)
\( m\angle GET = \frac{1}{2} \times \bigg(180\degree - 46\degree \bigg) \)
\( m\angle GET = \frac{1}{2} \times \bigg(134\degree \bigg) \)
\( m\angle GET = 67\degree \)
The statement say a contractor contracted to supply water to three Altein ring road has decided to investigate the financial impact that the monthly installments, salaries and the price of fuel had to his business per month. The contractor will use one of his water tankers to conduct an investigation. The contractor was supplying water to the Altien village 5 km ring road construction site where the road had to be paved using the paving bricks. The paving of the road has started in January 2022 and ran for 10 months.
Questions
1.1 write down the loan term of the truck in years
1.2 determine the monthly repayments that were made towards the water tanker including the insurance cover amount
1.3 the contractor had already made half of the monthly installments towards the truck in June 2022. Determine the total amount of money that was owed to the finance excluding the insurance in June 2022
1.4 give an explanation on the significance of including an insurance cover when a contractor purchases the water tanker
Therefore , the solution of the given problem of unitary method comes out to be in June 2022, the total amount due to the finance, exclusive of the insurance, was roughly $47,259.52.
What is an unitary method?The task can be completed by multiplying the data gathered using this type of nanosection along with two variable individuals who utilized the unilateral strategy. In essence, this signifies that perhaps the designated entity is defined or the colour of both mass production is skipped whenever a wanted item occurs. For forty pens, a variable charge of Inr ($1.01) could have been required.
Here,
1.1. The statement omits details about the truck's loan term. Therefore, without more details, we are unable to respond to this query.
1.2. Assume that the truck's loan period is n years and that the contractor borrowed P dollars at an annual interest rate of r to buy the water tanker.
M is calculated as (r * P * (1 + r)n) / ((1 + r)n - 1)
5 years + 60 months Equals n
r = 5% / 12 = 0.004166667 (weekly interest rate) (monthly interest rate)
P = $100,000
=> M = (0.004166667 * $100,000 * (1 + 0.004166667)^60) / ((1 + 0.004166667)^60 - 1)
≈> $1,870.24
As a result, the total monthly payments made for the water tanker, including the insurance protection, came to about $1,870.24.
1.3
(Total Amount Borrowed - Amount Paid) / 2
=> ($100,000 - $1,870.24 * 6) / 2 = $47,259.52 is the sum that is owed.
Therefore, in June 2022, the total amount due to the finance, exclusive of the insurance, was roughly $47,259.52.
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the mean and the standard deviation of a normal population are called statistics . the mean and the standard deviation of a random sample from a population are called .
The mean and standard deviation of a normal population are called parameters, and the mean and standard deviation of a random sample in the population are called statistics.
Normally distributed data:
In a normal distribution, data is distributed symmetrically without asymmetry the data are probabilities whose distribution is symmetrical with respect to the mean.
The normal distribution is symmetric, unimodal and asymptotic, and the mean, median and mode are all equal.
In statistics, standard deviation is a measure of the amount of variation or distribution of a set of values. A low standard deviation indicates that the values tend to be close to the ensemble mean (also called the expected value), while a high standard deviation indicates that the values are spread over a wide range.
For solving the problems are :
The average of the data is the average of the given data. The standard deviation of the data is half the difference between the highest value in the data set and the mean.
These numbers that summarize information about a sample are called statistics.
The numbers that summarize information about a population are called parameters.
Numbers that summarize information about a sample are called statistics.
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Answer:
(B) Parameters
(A) Statistics
Step-by-step explanation:
egg 2023
The null hypothesis is that the laptop produced by HP can run on an average 120 minutes without recharge and the standard deviation is 25 minutes. In a sample of 60 laptops, the sample mean is 122 minutes. Test this hypothesis with the alternative hypothesis that average time is not equal to 120 minutes. What is the p-value?
The p-value can be calculated to test the null hypothesis that the average running time of HP laptops is 120 minutes against the alternative hypothesis that it is not equal to 120 minutes.
The p-value for testing the hypothesis that the average time for the HP laptops is not equal to 120 minutes can be calculated using a t-test. Given a sample mean of 122 minutes, a sample size of 60, a null hypothesis mean of 120 minutes, and a standard deviation of 25 minutes, we can calculate the t-value and find the corresponding p-value.
To calculate the t-value, we use the formula: t = (sample mean - null hypothesis mean) / (sample standard deviation / sqrt(sample size))
Plugging in the values, we get: t = (122 - 120) / (25 / sqrt(60))
Calculating the t-value, we find t ≈ 0.894
To find the p-value associated with this t-value, we can refer to a t-distribution table or use statistical software. The p-value represents the probability of observing a t-value as extreme as the one obtained, assuming the null hypothesis is true.
Since the p-value (0.757) is greater than the commonly used significance level of 0.05, we fail to reject the null hypothesis. This suggests that there is not enough evidence to conclude that the average running time of HP laptops is significantly different from 120 minutes.
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Use the quadratic formula to determine the exact solutions to the equation.
6x2+4x−3=0
ye answer's here
solve the volume for the triangular prism
Answer:
9.5 cubic units
Step-by-step explanation:
You need to multiply everything together and divide by 2.
5 x 2 x 1.9/2 = v
19/2 = v
9.5 cubic units
how to find the equation of a quadratic function given 3 points
What is m pqr?
Please helps
Answer:
134 degrees
Step-by-step explanation:
Line PQS is 180 degrees. That being said, the addition of <PQR and <SQR equal 180 degrees.
Now you need to set up an equation to find out what angle PQR is. Since there is an X, you need to solve for X. The equation looks like this:
\((3x+5) + (x+3) = 180\)
Solve for x
\((3x+5) + (x+3) = 180\\4x+8=180\\4x=172\\x=43\)
Now plug in 43 where you see x. For this question, you only need to focus on (3x+5)
3(43) + 5 = 134
m<PQR = 134°
Do this every, single, time when you see these questions. Remember that line PQS is 180 degrees, and both of those angles are equal to 180 degrees.
If you want to check if this is true, plug in 43 into our equation we made to see if it equals 180 degrees. If it doesn't equal 180, your equation is incorrect.
3(43)+5+43+3 = 180
134 + 46 = 180
180 = 180 ✅
HELP LOL IT MY LIL SIS HELPP
Answer:
what did ur lil sis do??? hurry call the police and get immediate help right away ok
Step-by-step explanation:
1) At the supermarket you can fill your own honey bear container. A customer buys 12 oz of honey for $5.40.
From the problem, the cost of 12 oz honey is $5.40
a. the cost of honey per ounce will be :
\(\frac{\$5.40}{12oz}=\$0.45\text{per oz}\)The answer is $0.45 per ounce.
b. the amount of honey per dollar will be :
\(\frac{12oz}{\$5.40}=2.22\)The answer is 2.22 oz per dollar
c. when h = ounces of honey and c = cost in dollar
The equation will be :
For the cost of honey per ounce :
\(c=0.45h\)For the amount of honey per dollar :
\(h=0.22c\)d. Graphing one equation, we will graph c = 0.45h
A line with points (0, 0) and (12, 5.40)
x-axis will be the amount of honey
y-axis will be the cost in dollar.
Math problem: If
each ship has 45
men, and Odysseus
lost 11 out of 12 total
ships, how many
men did Odyessus
lose to the
Laistrygoninans?
which of the following is the basic unit of volume in the metric system?
a. meter
b. liter
c. kilogram
d. gram
Answer:
liter
Step-by-step explanation:
The basic unit of volume in the metric system is a liter.
because we measure volume (v) in liters.
Therefore, the answer is liter
Info related to the question : −
Kilograms are the basic unit of massGrams are also units of massMeters are used for measuring distanceVolume is measured in cubic metersFind the lengths of the legs of a right triangle where one acute angle measures 65 degrees and the hypotenuse measures 12, estimate each answer to two decimal places
The lengths of the legs of a right triangle, where one acute angle measures 65 degrees and the hypotenuse measures 12, are approximately 10.88 and 5.07.
To find the lengths of the legs of a right triangle, we can use the trigonometric functions sine and cosine. Since we know one acute angle and the hypotenuse, we can use the following formulas:
sin(65) = opposite/hypotenuse
cos(65) = adjacent/hypotenuse
Plugging in the known values and solving for the unknowns, we get:
sin (65) = opposite/12
opposite = 12sin (65) ≈ 10.88
cos (65) = adjacent/12
adjacent = 12cos (65) ≈ 5.07
Therefore, the lengths of the legs of the right triangle are approximately 10.88 and 5.07.
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Need help on question b- the question is attached in the photo.
The height of the new player is given as follows:
210 cm.
How to calculate the mean of a data-set?The mean of a data-set is given by the sum of all observations in the data-set divided by the number of observations, which is also called the cardinality of the data-set.
Considering the frequencies and the height of the new player of x, the sum of the observations is given as follows:
198 x 1 + 199 x 3 + 200 x 2 + 201 x 5 + 202 x 2 + x = 2604 + x.
The total number of players, considering the new player, is given as follows:
1 + 3 + 2 + 5 + 2 + 1 = 14.
The mean is of 201 cm, hence the height of the new player is obtained as follows:
(2604 + x)/14 = 201
2604 + x = 14 x 201
x = 14 x 201 - 2604
x = 210 cm.
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(0,0) is the coordinates of
Step-by-step explanation:
it's called the origin.
hope this helps :))
Name three non-collinear points. Please help :)
Answer: M, K, N
Step-by-step explanation: In order points to be non-collinear,
the points can't lie on the same line.
So what we are looking for are points that don't lie on the same line.
The correct answer would be points M, K, N.
Although M, K, R, and R, N, K, look like points that are non-collinear,
they aren't all points since R is the name of the plane.
How can you prove the triangle sum theorem?
The sum of angle in a triangle is 180°
What is the sum of angle in a triangle?A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC.
The sum of angle A, B and C is 180 i.e A+B +C = 180°
Also a triangle is a 3 sided polygon. The sum of of angle in a polygon is( n-2)180
How do we prove that the sum of angle in a triangle is 180°?
Since triangle is 3 sided, n= 3, because n denote the number if sides
therefore the sum of angle = (n-2) 180 = (3-2)×180
= 180°
therefore the sum of angle In a triangle is 180°
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please can someone help me answer the question
The height of the cylinder is approximately 4.86 centimeters.
What is the height of the cylinder?A cylinder is simply a 3-dimensional shape having two parallel circular bases joined by a curved surface.
The volume of a cylinder is expressed as;
V = π × r² × h
Where r is the radius of the circular base, h the is height, and π is the constant pi.
Given that;
Volume V = 550 cm³
Radius r = 6 cm
Height h = ?
Plug the given values into the above formula and solve for the height h.
V = π × r² × h
h = V / πr²
h = 550 / 6²π
h = 550 / 36π
h = 4.86 cm
Therefore, the height/length is 4.86 centimeters.
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I need to know how to find the measure of angle a.
Answer:
90°
Step-by-step explanation:
We need expressions for the measures of the three interior angles. Then we add them and set the sum equal to 180. Then we solve for x. Finally, we use the value of x in x + 100 to find the measure of angle A.
Let's first find an expression for each angle.
Angle A: m<A = x + 100
Bottom left angle: The interior angle is vertical to the angle measuring x + 60, so the interior angle also measures x + 60.
Bottom right angle: Let's call the measure of the interior angle y. y and the angle measuring 140° are supplementary, so y + 140 = 180; y = 40.
Now that we have expressions for the three interior angle measures, we add them and set the equal to 180.
(x + 100) + (x + 60) + 40 = 180
x + 100 + x + 60 + 40 = 180
2x + 200 = 180
2x = -20
x = -10
The measure of angle A is x + 100, and x = -10
m<A = x + 100 = -10 + 100 = 90
Answer: 90°
Andre works as a waiter at a restaurant, where he earns $6 an hour plus tips. After 5 hours of work he has earned $60.20. Write the equation to represents his total earnings for his hours worked.
Answer:
Step-by-step explanation: $6 dollars times 5 equals 30.00 dollars. So Andre made 30.00 dollars from work, and 30.20 dollars.
Two curves are orthogonal if their tangent lines are perpendicular at each point of intersection. Are the given families of curves orthogonal trajectories of each other? That is, is every curve in one family orthogonal to every curve in the other family? x^2 + y^2 = ax
x^2 + y^2 = by
Yes, the given curves are orthogonal.
What is orthogonal trajectory?In mathematics, an orthogonal trajectory is a curve, which intersects any curve of a given pencil of (planar) curves orthogonally.
Given equation is,
x²+y²=ax
Differentiating,
2x+2yy'=a
y' = (a-2x)/2y = m1
Again,
x²+y²=by
Differentiating,
2x+2yy'=by'
y' = -2x/(2y-b) = m2
For both curves are orthogonal, we have
m1*m2 = -1
(a-2x)/2y*-2x/(2y-b) = -1
-2ax+4x² = -4y²+2yb
4(x²+y²) = 2ax+2yb
Since, ax = (x²+y²)
by = (x²+y²)
Then,
4(x²+y²) = 2(x²+y²) +2(x²+y²)
4(x²+y²) = 4(x²+y²) (true)
Hence, the above response is appropriate.
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-8(p+3)≤16 HELP MEEEEE
Answer:
p ≥ -5
Step-by-step explanation:
Hope this helps!
if BD and EG are parallel lines and m∠DCF = 125°, what is m∠DCA
Answer:
55
Step-by-step explanation:
FCA equals 180 degrees so you subtract 180 from 125 and get 55 degrees.
Answer:
55
Step-by-step explanation:
Just subtract 180 and 125
You said that m∠DCF = 125° right?
And the m∠DCF and m∠DCA are linear pair because they have angles that share a side, so supplementary angles = 180
m∠DCF + m∠DCA = 180
replace (since m∠DCF = 125):
125 + m∠DCA = 180
-125 -125
m∠DCA = 180 - 125
m∠DCA = 55
The length, breadth and height of Shashwat's classroom are 9 m, 6 m and 4.5 m respectively. It contains two windows of size 1.7 m x 2 m each and a door of size 1.2 m x 3.5 m. Find the area of four walls excluding windows and door. How many decorative chart papers are required to cover the walls at 2 chart paper per 8 sq. meters?
The classroom has dimensions of 9m (length), 6m (breadth), and 4.5m (height). Excluding the windows and door, the area of the four walls is 124 sq. meters. Shashwat would need 16 decorative chart papers to cover the walls, assuming each chart paper covers 8 sq. meters.
To find the area of the four walls excluding the windows and door, we need to calculate the total area of the walls and subtract the area of the windows and door.
The total area of the four walls can be calculated by finding the perimeter of the classroom and multiplying it by the height of the walls.
Perimeter of the classroom = 2 * (length + breadth)
= 2 * (9m + 6m)
= 2 * 15m
= 30m
Height of the walls = 4.5m
Total area of the four walls = Perimeter * Height
= 30m * 4.5m
= 135 sq. meters
Next, we need to calculate the area of the windows and door and subtract it from the total area of the walls.
Area of windows = 2 * (1.7m * 2m)
= 6.8 sq. meters
Area of door = 1.2m * 3.5m
= 4.2 sq. meters
Area of the four walls excluding windows and door = Total area of walls - Area of windows - Area of door
= 135 sq. meters - 6.8 sq. meters - 4.2 sq. meters
= 124 sq. meters
To find the number of decorative chart papers required to cover the walls at 2 chart papers per 8 sq. meters, we divide the area of the walls by the coverage area of each chart paper.
Number of chart papers required = Area of walls / Coverage area per chart paper
= 124 sq. meters / 8 sq. meters
= 15.5
Since we cannot have a fraction of a chart paper, we need to round up the number to the nearest whole number.
Therefore, Shashwat would require 16 decorative chart papers to cover the walls of his classroom.
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PLEASE HELP
You have to create 3 functions to make hills on a grap
Requirements are in the photo.
(ignore graphs)
4. Write equations for three hills that do meet the requirements. Sketch them on one axis. (For the
purposes of this exercise, this is a sketch, so the steepness and minimums and maximums of the
graphs do not need to be exact). (6 points: 1 point for each equation, 1 point for each sketched curve)
Answer:
Hill 1: F(x) = -(x + 4)(x + 3)(x + 1)(x - 1)(x - 3)(x - 4)
Hill 2: F(x) = -(x + 4)(x + 3)(x + 1)(x - 1)(x - 3)(x - 4)
Hill 3: F(x) = 4(x - 2)(x + 5)
Step-by-step explanation:
Hill 1
You must go up and down to make a peak, so your function must cross the x-axis six times. You need six zeros.
Also, the end behaviour must have F(x) ⟶ -∞ as x ⟶ -∞ and F(x) ⟶ -∞ as x⟶ ∞. You need a negative sign in front of the binomials.
One possibility is
F(x) = -(x + 4)(x + 3)(x + 1)(x - 1)(x - 3)(x - 4)
Hill 2
Multiplying the polynomial by -½ makes the slopes shallower. You must multiply by -2 to make them steeper. Of course, flipping the hills converts them into valleys.
Adding 3 to a function shifts it up three units. To shift it three units to the right, you must subtract 3 from each value of x.
The transformed function should be
F(x) = -2(x +1)(x)(x -2)(x -3)(x - 6)(x - 7)
Hill 3
To make a shallow parabola, you must divide it by a number. The factor should be ¼, not 4.
The zeroes of your picture run from -4 to +7.
One of the zeros of your parabola is +5 (2 less than 7).
Rather than put the other zero at ½, I would put it at (2 more than -4) to make the parabola cover the picture more evenly.
The function could be
F(x) = ¼(x - 2)(x + 5).
In the image below, Hill 1 is red, Hill 2 is blue, and Hill 3 is the shallow black parabola.
Explicit equation:
Recursive:
y = 3x + 7
now = previous term + 3
50
term #
1
2
value
10
13
...
Find the value of the 50th term.
Explanation:
Answer:
50th term = 157
Step-by-step explanation:
Explicit equation for the given table is,
y = 3x + 7
And recursive formula is,
Now = previous + 3
To find the 50th term explicit formula should be used because it will be very difficult to find all 50 terms with the use of recursive formula.
From explicit formula,
y = 3x + 7
y = 3(50) + 7
= 157
Therefore, 50th term of the given table will be 157.
an account earns simple intrest find the interest earned and the balance of the account 200 at 3 % for 5 years
The interest earned and the balance of the account 200 at 3 % for 5 years is 30.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given that an account earns simple intrest
We have to find the interest earned
the balance of the account 200 at 3 % for 5 years
I=PRT
P is the principal amount
t is the time
r is the rate of interest
I=200×0.03×5
I=30
Hence, the interest earned and the balance of the account 200 at 3 % for 5 years is 30.
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Complete the table for the given rule. rule: y = x/2
Answer:
the given function is a linear function passing through Origin. Therefore, to complete the table for the given rule, we can use the given rule y = x/2 and substitute the values of x to get the corresponding values of y. For example, if x = 2, then y = 2/2 = 1. Similarly, if x = 4, then y = 4/2 = 2. Therefore, the completed table for the given rule is:
x y
0 0
2 1
4 2
6 3
8 4
A police car is approaching a right-angled intersection from the north at 35 mph, and a speeding car is heading east at 30 mph. When the police car is 0.75 miles north of the intersection and the speeding car is 1 mile to the east, what is the rate that the distance between the police car and car is changing?
Answer:
The rate that the distance between the police car and car is changing = 3 m/s
Step-by-step explanation:
The given speed of the police car = 35 mph
The speed of the speeding car = 30 mph
The position of the police car = 0.75 miles north
The position of the speeding car = 1 miles east
The distance of the police car from the speeding car, d = √(0.75² + 1²) = 1.25
d² = x² + y²
2d·dd/dt = 2x·dx/dt + 2·y·dy/dt
Where;
dx/dt = 30 mph
dy/dt = -35 mph
x = 1
y = 0.75
Substituting gives;
2×1.25 ×dd/dt = 2×1×30 - 2×0.75×35
2×1.25 ×dd/dt = 7.5
dd/dt = 7.5/2.5 = 3
dd/dt = 3 m/s
The rate that the distance between the police car and car is changing = dd/dt = 3 m/s
Answer:
The answer is increasing by 3 mph
Step-by-step explanation:
Name the algebraic property demonstrated in the example below: (1 point) 4(x + y) = 4x + 4y
Answer:
distributive property
Step-by-step explanation:
distributive property, because 4 carries over to each variable and then the two product are added.
4(x+y)=4x+4y
Which of the following fall between 12 and 13?