According to the solution we have come to find that, By using the concept of proportionality, one angle weighs 60 pounds.
What is proportionality?
Proportionality refers to the mathematical relationship between two quantities that have a constant ratio. If one quantity is multiplied or divided by a certain number, the other quantity will also be multiplied or divided by the same number.
To solve the problem, we need to use the concept of proportionality. We can set up a proportion where x represents the weight of one angle:
40 angles / 2400 pounds = 1 angle / x pounds
Solving for x, we get:
x = (1 angle * 2400 pounds) / 40 angles
x = 60 pounds
Therefore, one angle weighs 60 pounds.
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What is the equation for the line in slope-intercept form?
Assume that adults have IQ scores that are normally distributed with a mean of μ=105 and a standard deviation σ=20. Find the probability that a randomly selected adult has an IQ between 93 and 117.
The probability that a randomly selected adult has an IQ between 93 and 117 is approximately 0.6827 or 68.27%.
What is probability?
Probability is a branch of mathematics that deals with the study of random events and their outcomes. It is the measure of the likelihood of an event occurring, expressed as a number between 0 and 1.
To find the probability that a randomly selected adult has an IQ between 93 and 117, we need to standardize the distribution using the z-score formula, and then find the area under the normal distribution curve between those two z-scores.
The z-score formula is:
z = (x - μ) / σ
where x is the IQ score we are interested in, μ is the mean IQ score, and σ is the standard deviation of IQ scores.
For the lower bound of 93, the z-score is:
z = (93 - 105) / 20 = -0.6
For the upper bound of 117, the z-score is:
z = (117 - 105) / 20 = 0.6
Now, we need to find the area under the normal distribution curve between these two z-scores. We can use a standard normal distribution table or a calculator to find this probability. Using a calculator, we can use the normalcdf function:
normalcdf(-0.6, 0.6, 0, 1)
This gives us a probability of 0.6827.
Therefore, the probability that a randomly selected adult has an IQ between 93 and 117 is approximately 0.6827 or 68.27%.
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what's the answer for this?
Answer:
6.4 miles
Step-by-step explanation:
Use pythogoras theorem here:
? ²= 5² + 4² =
?² = 25 + 16=
?²= 41
?= √41
? = 6.4
You don't need to thank me, I hope this helped
Answer:
Let d represent the distance from home to school
To find d we use the formula for Pythagoras theorem
That's
a² = b² + c²
Where a is the hypotenuse or the longest side
From the question
d is the hypotenuse
So we have
d² = 4² + 5²
d² = 16 + 25
d² = 41
d = √41 miles or 6.403 milesHope this helps you
HELP ASAP ILL GIVE BRAINLIST
Answer:
(C) A diation followed by reflection
Step-by-step explanation:
if you dialate a shape then that shape can not be congruent to the previous one because it is not the same size, so it is similar but not congurent
each function
f(x)=-4x-5;
ion for
Find ƒ(1)
for the given
When x is equal to 1, the Function f(x) = -4x - 5 yields a value of -9.
The find ƒ(1) for the function f(x) = -4x - 5, we need to substitute x = 1 into the function and evaluate the expression.
Replacing x with 1, we have:
ƒ(1) = -4(1) - 5
Simplifying further:
ƒ(1) = -4 - 5
ƒ(1) = -9
Therefore, when x is equal to 1, the value of the function f(x) = -4x - 5 is ƒ(1) = -9.
Let's break down the steps taken to arrive at the solution:
1. Start with the function f(x) = -4x - 5.
2. Replace x with 1 in the function.
3. Evaluate the expression by performing the necessary operations.
4. Simplify the expression to obtain the final result.
In this case, substituting x = 1 into the function f(x) = -4x - 5 gives us ƒ(1) = -9 as the output.
It is essential to note that the notation ƒ(1) represents the value of the function ƒ(x) when x is equal to 1. It signifies evaluating the function at a specific input value, which, in this case, is 1.
Thus, when x is equal to 1, the function f(x) = -4x - 5 yields a value of -9.
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PLEASE HELP ME PLEASE!
Answer:
Sample
Population
Step-by-step explanation:
Explain regent? its a term I've never heard of
Given the circle below secant kjI and tangent hi find the length of hi round to the nearest tenth if necessary.
The length of the segment HI is 32.9
Define the term Circle identities?The Circle identities refer to a set of fundamental identities in trigonometry that relate to the some trigonometric functions of an angle in a right-angled triangle.
We know that the equation or formula of secant-tangent;
HI² = KI × JI
Given values:
KI = KJ + JI
KI = 21 + 24 = 45
JI = 24
put the all values in the secant-tangent equation above,
HI² = 45 × 24
HI² = 1080
Take the square root of both sides
HI = 32.9
Hence, the length of the segment HI is 32.9
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Question figure-
Consider the graphs of f (x) = x cubed and of g (x) = StartFraction 1 Over x cubed EndFraction. Are the composite functions commutative? Why or why not?
Answer:
c
Step-by-step explanation:
They are not commutative because the domains of f(x) and g(x) are different.
The functions \(f(x) = x^{3}\) and \(g(x) = \frac{1}{x^{3} }\) are not commutative because domains of f(x) and g (x) are different.
Here,
The functions are \(f(x) = x^{3}\) and \(g(x) = \frac{1}{x^{3} }\) and graph of the function are shown in figure.
We have to check the function are composite or not.
What is Domain of function?
The domain of a function is the set of all possible inputs for the function.
Now,
Domain of function \(f(x) = x^{3}\) is ( -∞, ∞).
And, Domain of function \(g(x) = \frac{1}{x^{3} }\) is ( -∞,0 ) U ( 0, ∞).
Hence, the domain of the functions are different so they are not commutative.
So, The functions \(f(x) = x^{3}\) and \(g(x) = \frac{1}{x^{3} }\) are not commutative because domains of f(x) and g (x) are different.
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How many of mrs. Lynch’s students prefer cheese pizza?
Step-by-step explanation:
100 nsmzmsmsmsmsmsmsnsnnsnsbsnjsjjsjsjsj
If the composition of two functions is:
1/x−3
What would be the domain restriction? Describe how you found that answer.
9514 1404 393
Answer:
x ≠ 3
Step-by-step explanation:
In any case, the domain is restricted to values of the variable for which the function is defined. The value 1/0 is not defined, so the variable cannot allow the denominator to be zero. The denominator x-3 will be zero for x=3, so that value of the variable cannot be in the domain.
The domain is all real numbers except x=3.
_____
Additional comments
It is useful to become familiar with the domains of different functions. As we saw above, the reciprocal of 0 is undefined. The square root of a negative number is undefined. The log of a non-positive number is undefined. Trig functions are defined everywhere, but their inverse functions are not. Polynomial functions are defined everywhere, but ratios of polynomials have the same restriction on denominators that we see above.
Corentine Company had $152,000 of accounts payable on September 30 and $132,500 on October 31. Total purchases on credit during October were $281,000. Determine how much cash was paid on accounts payable during October.
The cash was paid on accounts payable was $300,500
What is accounts payable balance?
The balance of the accounts payable at the end of the month in this case, is the amount left unpaid out of the total amount owed to the supplier, in other words, the cash paid during the period plus the closing balance of accounts payable is the same as the amount owed in total, which means that in the payables control account, the beginning balance would be on the credit as well as the additional purchases whereas the closing balance and cash paid would on the debit side of the account.
beginning balance+ purchases during month=cash paid+ accounts payable on on October 31
beginning accounts payable balance=$152,000
credit purchases during month=$281,000
cash paid=unknown(assume it is x)
accounts payable on on October 31= $132,500
$152,000+$281,000=x+$132,500
$433,000=x+$132,500
x=$433,000-$132,500
x=cash that was paid on accounts payable=$300,500
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A computer password contains six characters but does not permit repetition of any characters (either letters or numbers). If uppercase and lowercase letters are used, how many possible passwords are there?
Answer:
\(\frac{62!}{56!}\)
Step-by-step explanation:
We can either look at all 62 characters (2 * 26 in the alphabet and 10 digits), choose 6 of them, and add the fact that we care about their order - so multiply by 6! and we get \(\binom{62}{6}\cdot 6! = \frac{62!}{6!\cdot 56!} \cdot 6! = \frac{62!}{56!}\)
Or, we can look atr all the permutations of all the characters and take into account that we DON'T care about the order of the 56 after the first six. Getting \(\frac{62!}{56!}\) immediately.
Monica drinks 0.125 liters of milk during breakfast and 0.20 liters of milk after dinner everyday. Find the total amount of milk she drinks in a day, using significant digits.
A. 0.325 L
B. 0.33 L
C. 1 L
D. 3.25 L
The total number of milk drank in a day since the significant figure is not specified is 0.325 L.
What are significant figures?Significant figures are a way of approximation of large numbers to the required approximation such as two significant figures, three significant figures, or more, as the case may be.
From the given information:
Monica drinks 0.125 liters of milk during breakfast, and0.20 liters of milk after dinner every dayThe total number of milk drank in Liters in a day is:
= (0.125 + 0.20) L
= 0.325 L
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Answer:
the correct answer is B. 0.33 L
Explanation:
I just took this quiz and this was the correct answer.
Lucy is riding on a bike course that is 25 miles long. So far, she has ridden 24 miles of the course. What percentage of the course has Lucy ridden so far
Answer:
96%
Step-by-step explanation:
The fraction is converted to a percentage by multiplying it by 100%.
Lucy has ridden 24 of 25 miles.
(24/25) × 100% = 96%
She has ridden 96% of the course so far.
4.05 < 4.055
would this be correct?
Answer:
Yes
Step-by-step explanation:
4.05 can be written as 4.050 in 3-place decimal or 3 digits.
Compare:
4.05 = 4.050
4.050 < 4.055
Since 5 > 0 for last digit, the Inequality is true.
Answer:
yes,this would be correct
Step-by-step explanation: 4.05 will have a zero behind it 4.050 and 4.55 will also have a zero behind it 4.550 is 550 bigger the 050?
You are baking chocolate chip cookies. The recipe asks for 3 3/4 cups of flour and you want to make 2 times the original recipe.
A. 1 1/2 cups
B. 30/4 cups
C. 7 2/4 cups
D. 7 1/2 cups
Adult tickets to the fall play cost $8
and student tickets cost $4. The drama class
sold 20 more adult tickets than student tickets
to the fall play. If the class collected $880 from ticket sales, how many adult tickets were sold?
The drama class sold
adult tickets.
The solution is
Solving a system of equations we will see that they sold 80 adult tickets.
how many adult tickets were sold?
To solve this, we need to solve a system of equations. To define said systems of equations, we first need to define the variables, we will use:
x = adult tickets sold.y = student tickets sold.They sold 20 more adult tickets than student tickets, then:
x = y + 20
And they collected a total of $880, then:
x*$8 + y*$4 = $880
The the system of equations is:
x = y + 20
x*$8 + y*$4 = $880
Isolating y on the first equation we get:
y = x - 20
Replacing that on the other equation we get:
x*$8 + (x - 20)*$4 = $880
Now let's solve that for x.
x*$12 - $80 = $880
x*$12 = $880 + $80 = $960
x = $960/$12 = 80
They sold 80 adult tickets.
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2. What is the 7th term of an A.P: 50+45+40? a. 40, b. 20, c. 15, d. 22
The 7th term of an Arithmetic Progression 50+45+40 is 20
How to determine the 7th term of an Arithmetic Progression 50+45+40?The Arithmetic Progression is given as:
50+45+40
In the above Arithmetic Progression, we have
First term, a= 50
Common difference, d = 45 - 50 = -5
The nth term of the Arithmetic Progression is calculated as:
Tn = a + (n - 1)d
Substitute the known values in the above equation
Tn = 50 + (n - 1) * -5
Substitute 7 for n in the above equation
Tn = 50 + (7 - 1) * -5
Evaluate the product
Tn = 50 - 30
Evaluate the difference
T7 = 20
Hence, the 7th term of an Arithmetic Progression 50+45+40 is 20
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The figure shows a square and 4 congruent isosceles triangles. If the length of leg x is 12 feet, what is the length in feet of the hypotenuse of each triangle?
Answer:
hypotenuse = 13 feet
Step-by-step explanation:
base of triangle is 10 feet
x=12 feet
1/2 base =5 feet
use Pythagorean theorem
5^2+12^2=hypotenuse^2
25+144=169
sq root 169=13
Point A is located at (1, 2). Point B is located at (4, 6). Use this information to determine the length of the line, rounded to the nearest whole number.
If Point A is located at (1, 2) and Point B is located at (4, 6), the length of the line between points A and B is 5 units.
To determine the length of the line between points A and B, we can use the distance formula, which is a formula used to calculate the distance between two points in a coordinate plane. The distance formula is:
d = √((x₂ - x₁)² + (y₂ - y₁)²)
where (x₁, y₁) and (x₂, y₂) are the coordinates of the two points and d is the distance between them.
Using the coordinates of points A and B, we can substitute their values into the distance formula to find the length of the line between them:
d = √((4 - 1)² + (6 - 2)²)
d = √(3² + 4²)
d = √(9 + 16)
d = √25
d = 5
Rounded to the nearest whole number, the length of the line is also 5 units.
In conclusion, we can use the distance formula to find the length of the line between two points in a coordinate plane. The distance formula uses the coordinates of the two points to calculate the distance between them. The resulting distance can be rounded to the nearest whole number, if needed.
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50 PONTS
Complete the following statements:
< A corresponds to <
< B corresponds to <
< C corresponds to <
Side CA corresponds to side?
Side BC corresponds to side?
Side AB corresponds to side?
Answer:
Step-by-step explanation:
1. j
2. k
3. L
4. Lj
5. kL
6. jk
6th grade math I mark as brainliest
Answer:
a
Step-by-step explanation:
The is answer is there are 3 baseball bats to 4 baseballs. The final answer is 3:4
Solve for the exact solutions in the interval [0,2]
List your answers separated by a comma, if it has no real solutions, enter DNE.
The solutions to the trigonometric equation in this problem are given as follows:
θ = π/6.θ = 5π/6.θ = 7π/6.θ = 11π/6.What are complementary angles?Two angles are said to be complementary angles when the sum of their measures is of 90º.
For complementary angles, we have that the sine of one of the angles is the cosine of the other angle, hence in this problem we have that 2θ and θ are complementary angles.
Then the value of θ is obtained as follows:
2θ + θ = 90
3θ = 90
θ = 30º.
θ = π/6.
The equivalent angles, which are also solutions to the equation, are given as follows:
θ = 5π/6. -> second quadrant.θ = 7π/6. -> third quadrant.θ = 11π/6. -> fourth quadrant.More can be learned about complementary angles at brainly.com/question/98924
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The table shows the results of rolling a die several times. Outcome 1 2 3 4 5 6 Number of times outcome occurred 7 4 4 5 6 4 To the nearest percent, what is the experimental probability of rolling a 6? Question 1 options: 17% 20% 13% 67%
The experimental probability of the rolling a 6 is 13%.
How to find the experimental probability of rolling a 6?Probability is the likelihood of a desired event happening. Experimental probability is a probability that relies mainly on a series of experiments.
From the table:
The total number of times all the numbers appear is:
total number of times = 7 + 4 + 4 + 5 + 6 + 4 = 30
The number six (6) occurred 4 times.
Experimental probability = (occurrence of 6 / total number of times)
Experimental probability = 4/30 * 100
Experimental probability = 13%
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Suppose the amount of a radioactive element remaining in a sample of 100
milligrams after x years can be described by A(x) = 1002-0.01121x. How much is remaining after
172 years? Round the answer to the nearest hundredth of a milligram.
687.66 mg
0.15 mg
14.54 mg
192.81 mg
Answer:
Step-by-step explanation:
Im sorry we’re are they following?
81x^4-9x^3-6x-1,27x^3+1 & 9x^3-3x^2+x
The highest common factor of the polynomials 81x^4 - 9x³ - 6x - 1, 27x³ + 1 and 9x³ - 3x² + x is given as follows:
9.
How to obtain the highest common factor of the polynomials?We obtain the highest common factor of the polynomials by factoring, that is, obtaining the linear factors of each polynomial and then observing these that are common.
The zeros for each polynomial are given as follows:
81x^4 - 9x³ - 6x - 1: x = 0.502, x = -0.154, x = -0.12 +/- 0.38i.27x³ + 1: x = -0.333, x = 0.16667 +/- 0.28868i.9x³ - 3x² + x: x = 0, x = 0.16667 +/- 0.28868i.Considering the leading coefficients and their linear factors, using the Factor Theorem, the polynomials are given as follows:
81x^4 - 9x³ - 6x - 1: 81(x - 0.502)(x + 0.154)(x + 0.12 - 0.38i)(x + 0.12 + 0.38i)27x³ + 1: 27(x + 0.333)(x - 0.16667 - 0.28868i)(x - 0.16667 + 0.28868i)9x³ - 3x² + x: 9x(x - 0.16667 - 0.28868i)(x - 0.16667 + 0.28868i)They have no common linear factors(not one root is common to all three polynomials), hence the GCF is the GCF of these three numbers:
9, 27 and 81.
Which is of 9.
Missing InformationThe problem asks for the highest common factor of these three polynomials.
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Find the resistance in a 1238 watt circuit with 120 volt electricity passing through it.
The resistance in the circuit is 11.63 ohms
What is resistance?Resistance is the opposite of the flow of current. It can also be defined as the ratio of square of voltage to the power of a circuit. It is measured in ohms.
The factors that affects the resistance of a conductor are;
1. temperature
2. length of the wire
3. Area of the wire
4. Nature of the wire
power = V²/R
R = V²/P
P = 1238 W
v = 120
R = 120²/1238
R = 14400/1238
R = 11.63 ohms
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I neeed the answer plssss
Answer:
300km
Step-by-step explanation:
if 1 hr=80
then take 80 and multiply it by 3.75
hope this helps!
please give brainiest if you want<3
Answer:
300km
Step-by-step explanation:
The complement of an angle is 59°. What is the measure of the angle?
the sums of the measures of the interior angles of a polygon is three times the sum of its exterior angles. how many sides does it have. please help
The sums of the measures of the interior angles of a polygon is three times the sum of its exterior angles then it has 8 sides .
What is Polygon?
A polygon is a two-dimensional, closed form that is flat or planar and is limited by straight sides. Its sides are not curled. A polygon's edges are another name for its sides. The vertices (or corners) of a polygon are the places where two sides converge. Here are some illustrations of polygons.
What is interior angles?
Interior angles are those that are located within the confines of two parallel lines that are intersected by a transversal.
What is exterior angles?
The angles that are created outside of a triangle are its external angles. In other terms, the angle created between one of a triangle's sides and its neighboring extended side is the triangle's external angle.
We know that sum of interior angle of regular polygon is ;
(n-2) x 180°
Where n = no. of sides
We also know that sum of exterior angle of regular polygon is 360°.
The fact that the sum of a polygon's internal angles is three times the sum of its outside angles is now a given;
Therefore;
sum of interior angles of a regular polygon = 3 x sum of exterior angle
⇒ (n-2) x 180°
⇒3 x 360°
Simplify the equation we have above by:
⇒(n-2) = 3 x 360°/180° = 6
⇒ n = 6+2 = 8
Therefore the sides of the regular polygon is 8.
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