Answer:
61, C
Step-by-step explanation:
So, congruent means all the same. The question is just saying that 3 lines intersect at one point and form 6 angle. The 6 angles are not all the same. Given that, what is the smallest possible largest angle. Obviously, if all angles could be congruent, then, it would be 6 60° angles. However, they aren't. So, to minimize the largest angle, we can just make 1 angle 61° and another 59°. Therefore, the answer should be C which is 61° as you would have the 6 angles being:
59°, 60°, 60°, 60°, 60°, and 61°.
You own a farm and have several fields in which your livestock grazes. You need to order barbed-wire fencing for a small pasture that has a length of 5 yards and a width of 3 yards. The barbed wire must be long enough to be placed on all four sides of the outside pasture. How many yards of barbed-wire should you order?
Answer:
16 yards of barbed wire
Step-by-step explanation:
Length=5 yards
Width=3 yards
Perimeter of the pasture=2(length + width)
=2(5 yards +3 yards)
=2(8 yards)
=16 yards
You should order 16 yards of barbed wire for fencing the pasture
Today, you sold the 459 shares of Rayje Clothiers that you purchased yesterday. How much profit did you make? a. $13,985. 73 b. $11,520. 90 c. $5,338. 17 d. $6,306. 66.
Clothiers that you purchased yesterday and you need to determine the profit. It is essential to note that the profit would be made only if the selling price is more than the purchasing price.
If the selling price is less than the purchasing price, then it will be a loss. Now, let us calculate the profit by considering the purchasing price and the selling price of the shares. It is not given in the problem.
= Selling price per share - Purchasing price per share
= $30.54 - $23.45
= $7.09Therefore, the total profit for selling 459 shares would be: Total Profit
= Profit per share x Number of shares
= \($7.09 x 459= $3,255.31\)
Therefore, the answer is not given in the options provided. It must be rounded off to the nearest cent, which is $3,255.31.
Hence, the correct answer is not given in the options provided,
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I have no clue lol
I accidently put supplementary so ignore that.
Answer:
5. Vertical
6. 133°
Step-by-step explanation:
These are vertical angles; Vertical angles are congruent. Therefore, x = 133°.
Solve the system of equations algebraically. Round to the nearest tenth, if necessary. 4x + 6=y, y = 3x^2 + 2x - 10
Since we have both equations set equal to y, we know that:
\(4x+6=3x^{2}+2x-10\\ \\ 3x^{2}-2x-16=0 \\ \\ (3x-8)(x+2)=0\\\\x=\frac{8}{3}, -2\)
If x=8/3, then y=4(8/3)+6=50/3.
If x=-2, then y=4(-2)+6=-2.
So, the solutions, to the nearest tenth, are:
\(x=2, y=-2\\\\x=2.7, y=16.7\)
Robert found a game spinner that was not completely labeled. The spinner is shown at right. Help Robert figure out what fraction of the spinner is missing.
Circle with four unequal sections, labeled: 1 third, blank, 1 sixth, 3 eighths.
Step-by-step explanation:
Where is the image of the spinner shown?
! PLEASE HELP QUICKLY !
A linear function is given by formula y= 1/2x - 2
What is the x-intercept of the graph?
Answer:
see below
Step-by-step explanation:
y= 1/2x - 2
To find the x intercept, set y =0 and solve for x
0= 1/2x - 2
Add 2 to each side
2 = 1/2x -2+2
2 = 1/2x
Multiply by 2
2*2 = 1/2x *2
4 =x
The x intercept is 4
Please tell me what this is (correct answer)
Answer:
3.17
Step-by-step explanation:
0.45x + 0.72 + 5x = 18
5.45x = 17.28
x = 3.17
Which expression is equivalent to −(4−3)?
−3+2^2
negative 3 plus 2 squared
−2^2−3
, negative 2 squared minus 3,
−2^2+3
negative 2 squared plus 3
−3−2^2
The expression equivalent to -(4 - 3) is −2^2+3.
What is an expression?An expression is a number, variable, or a combination of numbers and varialbles and operation symbols.
Now, the given expression is,
−(4−3)
To find its equivalent let us first solve this expression, so
−(4−3) = -4 + 3
So, −(4−3) = -1
Now again find the values of given expressions,
−3+2^2
= -3 + 4
= 1
Hence, this is not equivalent to −(4−3) .
Similarly, −2^2−3
= 4-3
= 1
Hence, this is also not equivalent to −(4−3) .
Similarly, −2^2+3
= -4+3
= -1
Hence, this is equivalent to −(4−3) .
Similarly,−3−2^2
= -3-4
= -7
Hence, this is also not equivalent to −(4−3) .
Therefore the expression equivalent to -(4 - 3) is −2^2+3.
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Answer: −2^2+3
Step-by-step explanation:
i took the quiz
What i the lope of the line that pae through the point (7, -4)(7,−4) and (11, -4)(11,−4)? Write your anwer in implet form
Help please Im stuck on this question
This is an algebraic word problem and it has a solution of $120 which is Jonathan's pocket money for each month.
Algebraic word problemIn algebraic word problems, we can represent an unknown number using letters and then carry out basic mathematics operations to get the value of the unknown number.
We shall represent Jonathan's pocket money for each month with the letter x so that;
In July he saved: x - $80 and in August he saved x - $72
Since his savings increased by 20%, then;
x - $72 + x - $80 = (20/100)(x - $80)
2x - $252 = (1/5)(x - $80)
5(2x - $252) = x - $80 {cross multiplication}
10x - $1260 = x - $80
10x - x = $1260 - $80 {collect like terms}
9x = $1080
x = $1080/9 {divide through by 9}
x = $120.
Therefore, the agebraic word problem have a solution of $120 which is Jonathan's pocket money for each month.
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2. Sarah has some blue marbles, twice as many red marbles as blue, and 8 yellow marbles. If she has a total of 32 marbles, how
many red marbles does she have?
A.8
B.12
C.16
D.24
Given:
Number of blue marbles, twice as many red marbles as blue, and 8 yellow marbles.
She has a total of 32 marbles.
To find:
The number of red marbles.
Solution:
Let number of blue marbles be x.
Then, number of red marbles = 2x
Number of yellow marbles = 8
Total number of marbles = 32
\(x+2x+8=32\)
\(3x=32-8\)
\(3x=24\)
\(x=8\)
Now,
Number of red marbles \(=2(8)=16\)
Therefore, there are 16 red marbles.
Simplify the following expression 4(x + 10)
A. 4x + 40
B. 40x + 40
C. 4x + 10
D. 4 + x + 10
Answer:
Answer choice A.
Step-by-step explanation:
We can use the distributive property to solve.
4(x + 10) = 4x + 40
I got this by first multiplying 4 by x which is 4x, and 4 and 10, which is 40. We can see that 4x + 40 is one of the options here, so I would choose A. I hope this helps, and I hope it's not wrong, but I don't think it's wrong.
Solve x2 – 8x + 15 < 0. Select the critical points for the inequality shown. –15 –5 –3 3 5
Answer:
x=2.5
Step-by-step explanation:
2.11.2 Project task: the parallax problem
The parallax problem is a phenomenon that arises when measuring the distance to a celestial object by observing its apparent shift in position relative to background objects due to the motion of the observer.
The parallax effect is based on the principle of triangulation. By observing an object from two different positions, such as opposite sides of Earth's orbit around the Sun, astronomers can measure the change in its apparent position. The greater the shift observed, the closer the object is to Earth.
However, the parallax problem introduces challenges in accurate measurement. Firstly, the shift in position is extremely small, especially for objects that are very far away. The angular shift can be as small as a fraction of an arcsecond, requiring precise instruments and careful measurements.
Secondly, atmospheric conditions, instrumental limitations, and other factors can introduce errors in the measurements. These errors need to be accounted for and minimized to obtain accurate distance calculations.
To overcome these challenges, astronomers employ advanced techniques and technologies. High-precision telescopes, adaptive optics, and sophisticated data analysis methods are used to improve measurement accuracy. Statistical analysis and error propagation techniques help estimate uncertainties associated with parallax measurements.
Despite the difficulties, the parallax method has been instrumental in determining the distances to many stars and has contributed to our understanding of the scale and structure of the universe. It provides a fundamental tool in astronomy and has paved the way for further investigations into the cosmos.
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8x - 6 when X = 7
Need ASAP
Answer:
= 50
Step-by-step explanation:
8x-6
x = 7
8(7) - 6
56-6
=50
Answer:
8x - 6
8 x 7 - 6
56 - 6
50Step-by-step explanation:
Substitute x for 7 use Order of Operations for right answer.
A quantitative variable x is a _ if the value that x takes on in a given experiment or observation is a chance or random outcome.
A quantitative variable x is a "Random Variable" if the value that x takes on in a given experiment or observation is a chance or random outcome.
What is Random Variable?A random variable is one with an unknown value or a function which assigns qualities to each of the outcomes of an experiment.
Some key features regarding the Random Variable are-
Random variables are frequently denoted by letters and may be categorized as discrete, which have specific values, and continuous, which can have any value within a considerable range.A random variable is one with an unknown value or a function that allocates values to each of the outcomes of an experiment.A random variable can be discrete (with fixed values) or continuous Random variables are most commonly used in probability and statistics to quantify the results of random occurrences.Risk analysts predict the likelihood that a negative event occurring using random variables.To know more about the Random Variable, here
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Which relation is a function?
A
(1, 1), (2, 2), (3, 3), (4, 4), (5, 8)
B
(2, 7), (6, 5), (4, 4), (3, 3), (2, 1)
C
(9, -3), (9, 3), (4, -2), (4, 2), (0, 0)
D
(1, 0), (3, 0), (1, 1), (3, 1), (1, 3)
The relation (1, 1)\(,\) (2, 2)\(,\) (3, 3), (4, 4), (5, 8) is a function , the correct option is (A) .
In a relation is the x coordinate repeats , then it cannot be called a function
In the question ,
the relations are given as
Part(A)
(1, 1), (2, 2)\(,\) (3, 3), (4, 4) \(,\)(5, 8)
we see that , the x coordinate means the Domain is 1 , 2, 3 ,4 , 5 .
and since no number is repeating , this relation can be called as a function .
Part(B)
(2, 7), (6, 5), (4, 4)\(,\) (3, 3), (2, 1)
we see that , the x coordinate means the Domain is 2 , 6, 4 ,3 , 2 .
and the number 2 is repeating , this relation cannot be called a function .
Part(C)
(9, -3), (9, 3), (4, -2) \(,\) (4, 2), (0, 0)
we see that , the x coordinate means the Domain is 9 , 9, 4 ,4 , 0 .
and the number 9 and 4 are repeating ,this relation cannot be called a function .
Part(D)
(1, 0), (3, 0), (1, 1) \(,\)(3, 1), (1, 3)
we see that , the x coordinate means the Domain is 1 , 3, 1 ,3 , 1 .
and the number 1 and 3 are repeating , this relation cannot be called a function .
Therefore , The relation (1, 1), (2, 2) \(,\) (3, 3), (4, 4), (5, 8) is a function , the correct option is (A) .
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Determine the value of x in the equation below.
16 - (x + 5) = 5
Answer:
x=6
Explanation:
16-(x+5)=15
open the bracket using 1 as an invisible number after the minus sign16-x+5=15You move -x to cross the equality sign and it change to + 16+5-15 =x+15 change to -15 because of the equality sign 21-15=6x=6unit 7 right triangles & trigonometry homework 2 special right triangles pls help with 15
The answer are,
x=14√2
y=9.90
z=17.15
What is 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. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.
here, we have,
from the given figure,
we get.
x=14√2
y=9.90
z=17.15
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If tanA=1/7 and tanB=1/3 prove that cos2A=sin4B
Answer:
{4 |8}. 96. 24
sin4B{3. |9}= ___. = ___ = cos2A
{10|10} 100. 25
{9 |9}
Solve the two-step equation.
3
4
(x) − 1.72 = −6.82
1. The first step is to
on both sides.
2. The second step is to
on both sides.
The solution is x =
Answer:
1. The first step is to
✔ add 1.72
on both sides.
2. The second step is to
✔ multiply by 4/3
on both sides.
The solution is x =
✔ -6.8
Step-by-step explanation:
Answer
The first step is to
add 1.72
on both sides.
2. The second step is to
multiply by 4/3
on both sides.
The solution is x =
-6.8
.
.
Step-by-step explanation:
use the given transformation to evaluate the integral. (9x 9y) da r , where r is the parallelogram with vertices (−1, 2), (1, −2), (3, 0), and (1, 4) ; x
The value of the integral (9x + 9y) da over the region r is approximately 14.0625.
To evaluate the given integral using a transformation, we can use the concept of a double integral over a region in the xy-plane.
First, let's define the transformation T from the uv-plane to the xy-plane, where x = 9u and y = 9v. This transformation scales the coordinates by a factor of 9.
Next, let's find the Jacobian determinant of the transformation. The Jacobian determinant of T is given by the absolute value of the determinant of the matrix of partial derivatives of x and y with respect to u and v. In this case, the matrix is:
J(T) = |[∂x/∂u ∂x/∂v]|
|[∂y/∂u ∂y/∂v]|
Taking the partial derivatives, we have:
∂x/∂u = 9 and ∂x/∂v = 0
∂y/∂u = 0 and ∂y/∂v = 9
Therefore, the Jacobian determinant is:
J(T) = |[9 0]|
|[0 9]|
Taking the determinant, we have:
J(T) = (9)(9) - (0)(0) = 81
Now, we can evaluate the integral by transforming it into the uv-plane. The integral becomes:
∬(9x + 9y) dA = ∬(9(9u) + 9(9v))(J(T)) dA
Since x = 9u and y = 9v, we can substitute these expressions into the integral:
∬(9(9u) + 9(9v))(J(T)) dA = ∬(81u + 81v)(81) dA
Now, we need to find the limits of integration in the uv-plane. The region r in the xy-plane corresponds to a parallelogram in the uv-plane with vertices (-1/9, 2/9), (1/9, -2/9), (3/9, 0), and (1/9, 4/9).
Using these vertices, we can determine the limits of integration for u and v:
u ranges from -1/9 to 1/9
v ranges from 2/9 to 4/9
Therefore, the integral becomes:
∬(81u + 81v)(81) dA = ∫[u=-1/9 to 1/9] ∫[v=2/9 to 4/9] (81u + 81v)(81) dudv
Now, we can evaluate this double integral:
∫[u=-1/9 to 1/9] ∫[v=2/9 to 4/9] (81u + 81v)(81) dudv = (81)(81) ∫[u=-1/9 to 1/9] ∫[v=2/9 to 4/9] (u + v) dudv
Evaluating the inner integral with respect to u, we have:
(81)(81) ∫[u=-1/9 to 1/9] (1/2)u^2 + vu [v=2/9 to 4/9] dv
Simplifying further, we get:
(81)(81) ∫[u=-1/9 to 1/9] (1/2)u^2 + (vu)(4/9 - 2/9) dv
Now, we can evaluate the inner integral with respect to v:
(81)(81) ∫[u=-1/9 to 1/9] (1/2)u^2 + (vu)(4/9 - 2/9) dv = (81)(81) ∫[u=-1/9 to 1/9] (1/2)u^2 + (vu)(2/9) dv
Simplifying further, we have:
(81)(81) ∫[u=-1/9 to 1/9] (1/2)u^2 + (2/9)u(2/9) dv
Now, we can evaluate the inner integral with respect to v:
(81)(81) ∫[u=-1/9 to 1/9] (1/2)u^2 + (2/9)u(2/9) dv = (81)(81) ∫[u=-1/9 to 1/9] (1/2)u^2 + (4/81)u^2 du
Combining like terms, we get:
(81)(81) ∫[u=-1/9 to 1/9] (1/2 + 4/81)u^2 du
Simplifying further, we have:
(81)(81) ∫[u=-1/9 to 1/9] (85/162)u^2 du
Now, we can evaluate the integral:
(81)(81) ∫[u=-1/9 to 1/9] (85/162)u^2 du = (81)(81)(85/162) ∫[u=-1/9 to 1/9] u^2 du
Integrating u^2 with respect to u, we get:
(81)(81)(85/162) ∫[u=-1/9 to 1/9] u^2 du = (81)(81)(85/162) [u^3/3] from -1/9 to 1/9
Plugging in the limits of integration, we have:
(81)(81)(85/162) [(1/9)^3/3 - (-1/9)^3/3]
Simplifying further, we get:
(81)(81)(85/162) [(1/729)/3 - (-1/729)/3] = (81)(81)(85/162) [2/729]/3
Now, we can simplify this expression:
(81)(81)(85/162) [2/729]/3 = (81)(81)(85/162) (2/729)(1/3)
Finally, evaluating this expression, we get:
(81)(81)(85/162) (2/729)(1/3) ≈ 14.0625
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a quality control expert at life batteries wants to test their new batteries. the design engineer claims they have a variance of 8100 with a mean life of 1192 minutes. if the claim is true, in a sample of 72 batteries, what is the probability that the mean battery life would be greater than 1173.8 minutes? round your answer to four decimal places.
For a sample of 72 batteries, the probability that the average battery life of the sample exceeds 1173.8 minutes is 0.9918.
It states a battery life variance of 8100 minutes and a median battery life of 1192 minutes.
In a sample of 72 batteries, find the probability that the average battery life (x) of the sample exceeds 1173.8 minutes.
Due to the large sample size (n = 72), we can use the central limit theorem to assume that the sample mean follows a normal distribution with mean μ = 1192 and standard deviation σ = sqrt(8100/72) = 30.
So the z-score for x= 1173.8 is
z = (x - μ) / (σ / sqrt(n))
= (1173.8 - 1192) / (30 / square(72))
= -2.4
You can use a standard normal distribution table or calculator to find the probability that a standard normal random variable is greater than -2.4. This is 0.9918 (rounded to four decimal places).
Therefore, for a sample of 72 batteries, the probability that the average battery life of the sample exceeds 1173.8 minutes is 0.9918 (rounded to four decimal places) if the claim is correct.
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Identify Central Ideas Explain how a country with little land and few natural resources could make up for such deficits-without depending on other countries-and have a healthy economy .
A country with little land and few natural resources could make up for such deficits without depending on other countries and having a healthy economy by developing its Human Capital.
What are examples of small countries with low natural resources and high GDP?Examples of small countries with low natural resources and high GDP are:
JapanVatican CityCosta Rica etc.It is to be noted that of all the factors of production, (Land, labor, Capital, and Entrepreneurship) Human Capital (Labor and Entrepreneurship) are the most valuable and yield the greatest return on investment.
The Democratic Republic of the Congo is commonly regarded as the world's richest country in terms of natural resources; its undiscovered stockpiles of raw minerals are estimated to be worth more than US $24 trillion.
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4 1/4 inches long + 2 1/2 inches wide
PLEASE HELP ME IM IN 7th GRADE
Answer:
if the whole thing equals 110, then subtract 49 from 110 and you'll get 61 and that is your answer
Step-by-step explanation:
Solve the inequality graphically. 4x^2-13x+7<0
Answer:
Step-by-step explanation:
\((\frac{13 - \sqrt{57} }{8} , \frac{13 + \sqrt{57} }{8} )\)
what is the correct inequality
Answer:
Step-by-step explanation:
Mr. Huan needs 18 paint sets for his art class. He has some paint sets and if he had 5 more, he still would not have enough. Write an inequality to model the situation.
The inequality which can be used to represent the situation can be given as x + 5 < 18.
How to write inequality?Number of paints sets Mr Huan needs for his art class = 18
Number of paints set Mr Huan has = x
Additional number of paints sets he has = 5
The inequality
Number of paints set Mr Huan has + Additional number of paints sets he has less than Number of paints sets Mr Huan needs for his art class
x + 5 < 18
x < 18 - 5
x < 13
Therefore, the number of paints sets Mr Huan has is less than 13
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Solve the equation showing each step using *Inverse operations and *Reverse order:
3(Y-5)=24
Answer:
y=-3
Step-by-step explanation:
(0 - 3 • (y - 5)) - 24 = 0
-3y - 9 = -3 • (y + 3)
-3 • (y + 3) = 0
Solve : -3 = 0
y+3 = 0