Answer:
42.5
Step-by-step explanation:
How many degrees is angle 5 fam?
Answer:
∠5 = 53°
Step-by-step explanation:
The two diagonal lines are parallel according to the triangle symbols, indicating parallelism.
We know that if two parallel lines are cut by a transversal, then their corresponding angles, alternate exterior angles, and alternate interior angles are congruent.
Angle 5 and the 53° angle are corresponding angles. Due to the Corresponding Angles Theorem, we know that ∠5 = 53°.
Need help math question worth 30 points help plzzzzzz
Answer:
c
Step-by-step explanation:
because the real awnser is 57/4 but simpfly
Answer:
C) \(14\frac{1}{4}\)
explanation:
\(4\frac{5}{6} +4\frac{2}{3} +4\frac{3}{4} \\\\\frac{29}{6} +\frac{14}{3} +\frac{19}{4} \\\\\frac{58}{12} +\frac{56}{12} +\frac{57}{12} \\\\\frac{171}{12} \\\\14\frac{1}{4}\)
7x + 2y = 12
-3x -2y = 4
Answer:
(4, -8) or x=4 y=-8
Step-by-step explanation:
Answer: x=4 and y=−8
Step-by-step explanation: 7x+2y=12, −3x−2y=4
7x+2y+−2y=12+−2y
7x /7 = −2y+12 /7
x= −2 /7 y+ 12 /7
−3( −2 /7 y+ 12 /7 )−2y=4
−8 /7 y+ −36 /7 + 36 /7 =4+ 36 /7
−8 /7 y / /−8/7 = 64 /7 /−8 /7
y=−8
x= −2 /7 y+ 12 /7
x= −2 /7 (−8)+ 12 /7
x=4
x=4 and y=−8
Find a coterminal angle between 0° and 360°.
21) 860°
help
A coterminal angle between 0° and 360° is 140°.
What is a coterminal angle?Coterminal angles are angles in standard position (angles with the initial side on the positive x-axis) that have a common terminal side.
Possible coterminal angles of 860° -
860 - 360 = 500°
500 - 360 = 140°
140 - 180 = -40°
Since, we are asked about a coterminal angle between 0° and 360°, the only angle is 140°.
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A graphical device used for enumerating sample points in a multiple-step experiment is a.
A graphical device used for enumerating sample points in a multiple-step experiment is a tree diagram.
A tree diagram is a visual representation that helps organize and enumerate all possible outcomes or sample points in a multi-step or sequential experiment. It consists of branches or lines that represent different choices or events at each step of the experiment, and the branches split and multiply as the experiment progresses. The final outcomes or sample points are represented as endpoints of the branches.
Tree diagrams are commonly used in probability theory and statistics to calculate probabilities and analyze complex experiments involving multiple stages or events. They provide a clear and systematic way to visualize and enumerate all possible outcomes, making them a helpful tool in analyzing and solving probability problems.
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Goran the trainer has two solo workout plans that he offers his clients: Plan A and Plan B. Each client does either one or the other ( not both). On Wednesday there were 2 clients who did plan A and 5 who did plan B. On Thursday there were 8 clients who did plan A and 3 who did Plan B. Goran trained Wednesday clients for a total of 6 hours and his Thursday clients for a total of 7 hours. How long does each of the workout plan last ?
The 9-hour training schedule is broken up into his Wednesday clients' 6 hours and his Thursday clients' 7 hours.
what is equations ?Its core idea is thought to represent number's greatest equivalent fraction. How to determine the simplest form. Look for shared factors in the denominator and treble. A fractional number can be checked to discover if it is a prime number. A statement having two spherical geometry and an equal sign in the middle is referred to as a mathematical equation. The formula for a linear equation is x + b = 0. The general form of a two-variable linear equation is an x + b y + c = 0. (or something similar). Neither conditional equation or identities are categories for equations.
given
Make a system of equations where A represents the length of a Plan A session and B represents a Plan B session.
This Wednesday: 2A + 12B = 9 hours.
Thursday: 5A + 3B = 9 hours
Using addition, multiply the Thursday equation by -4 to find the solution:
2A + 12B = 9
(5A + 3B = 9) * -4
2A + 12B = 9
-20A -12B
= -36
The B's disappear if you combine the two equations:
1.5 hours from -18A to -27A.
the following into one of the initial equations:
12B = 6 B = 0.5 hours + 2(1.5) = 9
The 9-hour training schedule is broken up into his Wednesday clients' 6 hours and his Thursday clients' 7 hours.
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The costs of repairing iPads in UAE are normally distributed with a mean of 173 Dhs. If
3%
of the costs exceed 243 Dhs, find the standard deviation of the costs. Round your answer to the nearest diham (Whole number).
The standard deviation of the costs is 37 Dhs
The given mean is 173 and 3% of costs exceed 243. We have to calculate the standard deviation of the cost. Therefore, let's first start by calculating the z-score as follows;z-score formula = `(x - μ) / σ`z-score = `243 - 173 / σ`z-score = `70 / σ`We need to find the standard deviation of the costs. Since the z-score formula includes standard deviation, we can first calculate the z-score and then use it to calculate the standard deviation.Using the z-table, we can find the z-score for 3% = -1.88-1.88 = (243 - 173) / σσ = (243 - 173) / -1.88σ = -70 / -1.88σ = 37.23≈ 37The standard deviation of the costs is 37 Dhs. Hence, the correct option is as follows.Option D is the correct option.
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Salma is ordering 4 bags of cat food from Canada. Each bag has a mass of 2.5 kg. To determine the shipping costs, Salma needs to know the total weight in pounds. What is the weight of the cat food in pounds? Use 1 kg = 2.2 lb and do not round any computations.
(1) An architect firm uses an average of 60 boxes of copier paper a day. The fim operates 280 days a year. Storage and handling costs for the paper are $30 a year per box, and its costs approximately $60 to order and receive a shipment of paper. (a) What quantity order size would minimize the total annual inventory cost? (b) Determine the minimum total annual inventory cost. (c) The office manager is currently using an order size of 300 boxes. The partners of the firm expect the office to be managed "in a cost-efficient manner." Would you recommend the manager to use your quantity from part (a) rather than 300 boxes? Justify your answer (by determining the total annual inventory cost for 300 boxes):
Part a: What quantity order size would minimize the total annual inventory cost? Total Annual Inventory Cost = Annual Ordering Cost + Annual Carrying Cost At minimum Total Annual Inventory Cost, the formula for the Economic Order Quantity (EOQ) is used. EOQ formula is given below: EOQ = sqrt((2DS)/H)Where, D = Annual DemandS = Ordering cost
The company should place an order for 168 boxes at a time in order to minimize the total annual inventory cost.Part b: Determine the minimum total annual inventory cost.Using the EOQ, the company can calculate the minimum total annual inventory cost. The Total Annual Inventory Cost formula is:Total Annual Inventory Cost = Annual Ordering Cost + Annual Carrying CostAnnual Ordering Cost = (D/EOQ) × S = (16,800/168) × $60 = $6,000Annual Carrying Cost = (EOQ/2) × H = (168/2) × $30 = $2,520Total Annual Inventory Cost = $6,000 + $2,520 = $8,520Therefore, the minimum Total Annual Inventory Cost would be $8,520.Part c: Would you recommend the manager to use your quantity from part (a) rather than 300 boxes? Justify your answer (by determining the total annual inventory cost for 300 boxes)
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The polynomial of degree 5, P(x) ha leading coefficient 1, ha root of multiplicity 2 at x=1 and x=0, and a root of multiplicity 1 at x=−5
Find a poible formula for P(x). P(x)=
The possible formula for P(x) would be \(P(x)=x^5+x^4-5x^3+3x^2\).
What is a polynomial?
A polynomial is a mathematical expression made up of coefficients and indeterminates that uses only the operations addition, subtraction, multiplication, and powers of positive integers of the variables. x² + 4x + 7 is an illustration of a polynomial with a single indeterminate x.
The polynomial of degree 5.
Each root corresponds to a linear factor, so we can write:
\(P(x) = x^2(x-1)^2(x+3)\\\\P(x)=x^2(x^2-2x+1)(x+2)\\\\P(x)=x^5+x^4-5x^3+3x^2\)
Hence, the possible formula for P(x) would be \(P(x)=x^5+x^4-5x^3+3x^2\).
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The radius of the earth is 6.36×10
6
m, and its mass is 5.98×10
24
kg (approximately). Find the weight of an object whose mass is 10 kg by using a) [2.10], and b) [2.12].
Given, radius of the earth is 6.36 × 10^6 m and its mass is 5.98 × 10^24 kg.
Applying formula of weight, we have:
W = mg where m = 10 kg and g is the acceleration due to gravity.
To calculate acceleration due to gravity (g),
formula is: g = GM/R²
where G is the gravitational constant= 6.67 × 10^-11 Nm²/kg², M is the mass of the earth = 5.98 × 10^24 kg, R is the radius of the earth= 6.36 × 10^6 m.
Now putting these values in the formula, we have:
g = GM/R²= 6.67 × 10^-11 × 5.98 × 10^24/ (6.36 × 10^6)²g = 9.81 m/s²
Therefore,Weight of the object can be calculated as;
W = mg = 10 × 9.81W = 98.1 N
(a) Using formula [2.10]:
Formula [2.10] is given by;
W = mgh/ R²
Where, h = height at which object is placed above the earth's surface.
Since the object is on the surface of the earth, h = 0.
Therefore,
W = mgh/ R²= (10 × 9.81 × 0)/ (6.36 × 10^6)²W = 0 N
(b) Using formula [2.12]:
Formula [2.12] is given by;
W = m (GM/ (R+h))²
Here, h = 0, therefore;
W = m (GM/R)²
= 10 × (6.67 × 10^-11 × 5.98 × 10^24/ 6.36 × 10^6)²
W = 98.05 N (Approximately)
Therefore, the weight of an object whose mass is 10 kg by using a) [2.10] is 0 N, and by using b) [2.12] is 98.05 N (Approximately).
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15. Determine the coordinate of point C, which lies on the y-axis, if it is equidistant from point A(3,-2,1) and point B (-7,0,5). [41
The coordinates of point C, such that is equidistant to A and B is (0, 15, 0)
How to find the point C?We know that point C is equidistant to points A(3,-2,1) and B (-7,0,5).
C is on the y-axis, then we can write it as:
C = (0, y, 0)
The distance to point A is:
Da = √( (3 - 0)² + (-2 - y)² + (1 - 0)²) = √(10 + ((-2 - y)²)
And the distance to point B is:
Db = √( (-7 - 0)² + (0 - y)² + (5 - 0)²) = √(74 + (y)²)
These distances must be equal, then:
√(10 + ((-2 - y)²) = √(74 + (y)²)
remove the square root in both sides to get:
10 + (-2 - y)² = 74 + y²
10 + y² + 4y + 4 = 74 + y²
4y = 74 - 4 - 10
4y = 60
y = 60/4
y = 15
The coordinates of C are (0, 15, 0)
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help me with this please im stuck
Answer:
refer to the attachment
Find the square root of 25/289
Answer:
The answer would be 0.29
Will mark brainly!! :)
If f(2) for f(x) = \(\frac{2}{x-1}\)+6 is 8. then what is \(f^{-1} (8)\)
Answer:
2
Explanation:
we get inverse functions by interchanging places of domain and range of the original fuction so rhe domain becomes a range and the range becomes a domain.
so if 2 belongs to the domain of the original fuction and its corresponding element in the range is 8, we simply interchange between 2 and 8 in order to solve the fuction without any subistitution in the original function.
Write your answer as a fraction in simplest form.
Answer:
17/10 (1.7)
Hope this helps!
FILL THE BLANK.
Defensive driving isn't just about reacting to the unknown. It's about removing the unknown by planning ahead and ___________.
Defensive driving isn't just about reacting to the unknown. It's about removing the unknown by planning ahead and anticipating potential hazards.
Defensive driving is a proactive approach to staying safe on the road. It involves actively identifying and addressing potential risks and hazards before they become emergencies. In essence, defensive drivers plan ahead and take steps to minimize the likelihood of accidents or dangerous situations. They maintain a safe following distance, anticipate the actions of other drivers, and constantly scan their surroundings for potential threats. By doing so, they gain more time to react to unexpected events and can make better decisions to avoid collisions or other dangerous outcomes.
Defensive driving techniques and how they can enhance road safety. Understanding the principles of defensive driving can help drivers develop better habits and become more aware of their surroundings. It emphasizes the importance of maintaining focus, avoiding distractions, and staying alert at all times while behind the wheel. Defensive driving techniques also teach drivers to adapt to changing road conditions, weather situations, and traffic patterns. By actively practicing defensive driving, individuals contribute to creating a safer driving environment for themselves and others.
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A survey was given to a random sample of 400 residents of a town to determine whether they support a new plan to raise taxes in order to increase education spending. Of those surveyed, 168 respondents said they were in favor of the plan. Determine a 95% confidence interval for the proportion of people who favor the tax plan, rounding values to the nearest thousandth.
Which of the following is the function represented
by the graph?
O
1
y=
-5
(x+3)
1
y=
(x-3)
y=
(x+5)
1
y =
(x - 5)
O
O
O
+5
-3
+3
Answer:
the last (4th) option
Step-by-step explanation:
the easiest way to find the right answer :
which of the 4 answers would deliver infinity for x = 5 ?
and that is only answer 4, as x = 5 creates 0 in the denominator of the fraction, which leads to the infinity break at that point in the functional curve.
other indications :
the smaller x, the more the denominator goes to -infinity, and the bigger x, the more the denominator goes to +infinity.
and that means the whole fraction goes to 0. and we are left for the function limit with the constant added at the end of the function.
looking at the graph, this has to be +3.
and again, only the 4th answer has "+3" at the end.
The function represented by the graph is y = 1(x - 5) + 3.
Option D is the correct answer.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
The equation y = 1/(x - 5) + 3 represents a rational function with a vertical asymptote at x = 5.
This means that the graph of the function gets closer and closer to the vertical line x = 5, but never touches or crosses it.
The graph of the function also has a horizontal asymptote at y = 3.
This means that as x approaches infinity or negative infinity, the value of the function approaches 3.
The function has a y-intercept at (0, -4), where x = 0 and y = 1/(-5) + 3 = -4.
Thus,
The function represented by the graph is y = 1(x - 5) + 3.
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Meg purchased a stereo system at a local store. It cost $675. She paid for it in six equal installments of $139 each. How much interest did she pay?
Explanation plz. Would like to know how to solve for future questions.
Answer:
159
Step-by-step explanation:
She paid 6 payments of 139
6*139 = 834
The cost was 675
834-675 =159
The interest was 159
Need help with this math question. Will give brainliest
In right triangle ABC shown below, what is the length of BC?
PLEASE HELP ITS URGENT!! PLEASE
1.) you are looking at your power bill for the month, you pay 12 cent per kilowatt hour. Running a 60 watt lightbulb for one hour is .0 6 KWH, if you leave a light on all the time that has 3 lightbulbs in it how much would that cost a 30 day month
2.) you were looking at your power bill for the month you pay .11 per kilowatt. Your power bill came out to $80.48 how many KWH of energy were using your house this month
3.) you plan to cut the board into three pieces to repair part of a railing. You are going to cut the two ends of the board into two equal pieces that are 2.6 feet long if the remaining piece needs to be 0.86 times longer than each of the first two cats what length boards did you buy round to the nearest tenth
1. Electrical energy consumption is measured at kilowatt-hour (KWh). Thus the cost of energy consumed for the month is $31.104.
2. The amount of energy used in the house for the month is 731.634 KWh.
3. The length of the board equals the sum of each length of the pieces. The length of the board to buy is 8.70 feet.
1. The rate of consumption of energy is measured in kilowatt-hour.
In the given question,
12 cent is paid per kilowatt-hour.
60 watts of light for 1 hour = 0.06 KWh
3 light bulbs of 60 Watts each for 1 hour = 3 x 0.06
= 0.18 KWh
But,
30 days = 30 x 24 hours
= 1440 hours
The total energy consumed for the month = 1440 x 0.18
= 259.20 KWh
The total cost for the month = 0.12 x 259.20
= $31.104
Thus, the total cost for the month is $31.104.
2. Charge per kilowatt-hour = $0.11
Total power bill = $80.48
So that,
Total cost on bill = amount charge per kilowatt x total energy consumed in KWh
Which implies;
$80.48 = $0.11 x total energy consumed in KWh
total energy consumed = \(\frac{80.48}{0.11}\)
= 731.634 KWh
Therefore, the amount of energy used in the house for the month is 731.634 KWh.
3. Each length of the two end pieces = 2.6 feet each
Given that the remaining piece needs to be 0.86 times longer than each of the first two. Then;
the length of the remaining piece = 2.6 + 0.86
= 3.46
The length of the remaining piece = 3.46 feet
The length of the board to buy = 2.6 + 2.6 + 3.46
= 8.66
Thus, the length of the board to buy is 8.70 feet.
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6 x ? x 3 = 90 pls help I’m to lazy to do it
Step-by-step explanation:
let the unknown number be x
6 * x * 3 = 90
18 x = 90
x = 90/ 18
x = 5
Hope it will help :)
Answer: 5
Step-by-step explanation:
30 divided by 6 is 5, so 6 x 5 x 3=90
Gabe went to the florida mall. He bought k model planes and spent 24 on books.Then he another 25 at another store
Answer:
\(Amount = 49 + 14.99k\)
Step-by-step explanation:
Given
\(Books = 24\)
\(Another\ Store = 25\)
\(Model = k\)
Cost of \(Model = 14.99\) --- Missing from the question
Required
Represent the amount spent
The amount is calculated as:
\(Amount = Books + Another\ Store + Model * Cost\)
\(Amount = 25 + 24 + k * 14.99\)
\(Amount = 49 + 14.99k\)
(a)Find the value of m if 5m+7=4m+9
(b)If n= 2m, substitute value of m in part a and k= 5m+3n-8
a) The value of m is,
m = 2
b) The values are,
n = 3
k = 14
Given that;
a) Expression is,
⇒ 5m + 7 = 4m + 9
b) Expression is,
⇒ k = 5m + 3n - 8
⇒ n = 2m
Now, We can simplify as;
a) Expression is,
⇒ 5m + 7 = 4m + 9
⇒ 5m - 4m = 9 - 7
⇒ m = 2
b) Plug m = 2 in expressions as;
⇒ n = 2m
⇒ n = 2 × 2
⇒ n = 4
⇒ k = 5m + 3n - 8
⇒ k = 5 x 2 + 3 x 4 - 8
⇒ k = 10 + 12 - 8
⇒ k = 14
Thus, a) The value of m is,
m = 2
b) The values are,
n = 3
k = 14
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If f(1)=3 and f(n)=f(n-1)−1 then find the value of f(6).
Answer: -2
Step-by-step explanation:
f(n)=f(n-1)−1 ==> change in every term is -1
6-1=5
3+5*(-1)=
3-5=-2
What is the product?
[4 2] x [-2 5 7 -1]
Answer:
The answer is C
Step-by-step explanation:
A group of 40 students from your school is part of the audience for a TV game show. The total number of people in the audience is 150 What is the theoretical probability of 5
students from your school being selected as contestants out of 8 possible contestard spots?
P(5 students selected)
(Type an integer or decimal rounded to three decimal places as needed)
Cus
The theoretical probability of randomly selecting 5 students from my schools is 0.00000001237
probability of an eventprobability = required outcome / total possible outcomes
Required outcome = 5 students from the 40. Here , we have
40C5 = 65008
Total possible outcomes = 8 students From the total contestants . Here , we have
150C8 = 5257211409450
Hence, selecting 5 students from my school :
P(5 from my school) = 65008/5257211409450
P(5 from my school ) = 0.00000001237
Hence, the theoretical probability is 0.00000001237
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A vending machine has $13.00 in dimes and quarters. There are 76 coins. How many dimes and how many quarters are in there?