Answer:
B) Alternate Exterior Angles
Step-by-step explanation:
They are exterior (on the outside of the the lines) and they are alternate (opposite left and right).
Answer:
Alternate exterior angles
Step-by-step explanation:
Alternate exterior angles are outside angles that lies to the opposite side.
5 STARS ON YOUR AND ANSWER AND A THANK YOU.
Answer:
It's the fourth answer, D.
Atoms of which two elements have a combined total of 34 protons
A. Lithium, Li, and Carbon, C
B. Calcium, Ca, and Silicon, Si
C. Argon, Ar, and Neon, Ne
D. Potassium, K, and Beryllium, Be
Answer:
Option b
Step-by-step explanation:
Calcium has atomic no-20Hence it has 20 protonsSilicon has atomic no 14Hence it has 14protonsTotal:-
\(\\ \sf\longmapsto 20+14=34\)
Solve the system using elimination.
X + 7y = 25
2x - 7y = -13
Answer:
Step-by-step explanation:
Help please I'd really appreciate it thank youuuuu
75
pls mark brainliest if it helped!
Answer:
75 m²
Step-by-step explanation:
Can someone please help me?? It’s graphs using the Pythagorean theorem or something, the picture is shown. I’ll give you 30 points AND Brainly: )
how many solutions does this have? x+2y=3 x-y=6
Answer:
x = 5 , y = -1
Step-by-step explanation:
x + 2y = 3........(equation 1)
x - y = 6..........(equation 2)
make x the subject of the formula in (equation 1)
x = 3 - 2y
substitute for x in (equation 2)
3x - y = 6
(3- 2y) - y = 6
3 - 2y - y = 6
3 - 3y = 6
-3y = 6 - 3
\( \frac{ - 3y}{ - 3} = \frac{3}{ - 3} \)
\(y = - 1\)
substitute for y in (equation 1)
x = 3 - 2y
\( \times = 3 - 2( - 1)\)
x = 5
Answer:
Uhhh I'll try my best.
The answer to your question is
I’ll do x.
x+2y-2y = 3-2y
(Simplify) x = 3-2y
x-y+y = 6+y
(Simplify) x = 6+y
(Set them equal to each other)
3-2y = 6+y
3-2y-6 = 6+y+2y
-3 = 3y
y = -1
x =
Step-by-step explanation: Hope this helps.
Find the distance between (1, 5) and (5, 2) using the Pythagorean Theorem. Type a number for your answer.
Answer:
Distance = \(\sqrt{(1-5)^{2} + (5-2)^{2} }\) units
= \(\sqrt{(-4)^{2} + (3)^{2} }\) units
=\(\sqrt{25}\) units
= 5 units
pleaseeee help meeeee
Answer:
See explaination and answer below
Step-by-step explanation:
Relationship:
Complementary angles add up to 90 degrees
JKL + MNP = 90
Solve for x:
(2x - 3) + (5x + 2) = 90
7x - 1 = 90
7x = 91
x = 13
Solve for JKL:
JKL = 2x - 3
JKL = 2(13) - 3
JKL = 23 degrees
Solve for MNP:
MNP = 5x + 2
MNP = 5(13) + 2
MNP = 67
Check work:
67 + 23 = 90
Please mark brainliest if this helped!
Please mark brainliest if this helped!
Answer: First you have to know that complementary mean 90*
Step-by-step explanation:(2x-3)+(5x+2)=90
2x - 3 + 5x + 2=90
7x-1=90
7x=90+1
7x=91
x=91/7
x=13
Please I need help ASAP
Answer:
Step-by-step explanation:
V= π(8)^2(12/3)
V= 64(4)π
V= 256π
V= 804.3 cm^3
a red die and a blue die are tossed. what is the probability that the red die shows a three and the blue die shows a number greater than three?
The probability that the red die shows a three and the blue die shows a number greater than three is 1/12
How to determine the probability of a three and and a number greater than three?From the question, we have the following parameters that can be used in our computation:
Red die
Blue die
The sample space of a die is
{1, 2, 3, 4, 5, 6}
using the above as a guide, we have the following:
P(3) = 1/6
P(Greater than 3) = 1/2
So, we have
P = 1/2 * 1/6
Evaluate
P = 1/12
Hence, the probability of a three and and a number greater than three is 1/12
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Complete the following equations with the correct values.
sin(____) = cos(75)
cos(x) = sin(____-x)
Answer:
first blank: 15
second blank: 90
Step-by-step explanation:
Obviously, sin and cos are related, but they are not the same thing. In order for them to be equal:
sin(____) = cos(75)
the angles have to add up to 90 (complementary)
What + 75 is 90?
Do a tiny calc:
90 - 75 is 15
The second question is stating the rule generically.
x + (90 - x) is 90
PLEASE HURRYYYYYYYYYYYYYYYYYYYYY
Step-by-step explanation:
the answer is in the above image
What is 286 times 9.
Answer:
2574
Step-by-step explanation:
Answer:
the answer is =2574
Step-by-step explanation:
hoped I helped:)
Part 2: Error Propagation Practice Directions: Use error propagation to calculate the Directions: Use error propagation to calculate the uncertainty and percent uncertainty of the dependent quantity in terms of the measured quantities shown (independent variables). δA=
(
∂x
∂A
)
2
(δx)
3
+(
∂y
∂A
)
2
(δy)
2
+(
∂z
∂A
)
2
(δz)
2
+…
1. z=me
y
y is the measured quantity with uncertainty Dy, m is a constant. 2. P=4L+3WL&W are measured quantities with uncertainty □L and □□W 3. z=3x−5yx&y are measured quantities with uncertainty □x and □]y 4. I=A/r
2
,r is a measured quantity with uncertainty □r, A is a constant. 5. N=0.5rpR
4
h,R& h are measured quantities with 6. A=2LW+2WH+2H;L,W,&H are measured quantities with uncertainty □L,□,WW,□H 7. M
1
,M
2
,&d are measured quantities with uncertainty □M
1
,□□M
2
,□d
To calculate the uncertainty and percent uncertainty of the dependent quantity in terms of the given measured quantities, we can apply error propagation using the provided formula: δA = (∂x/∂A)^2(δx)^3 + (∂y/∂A)^2(δy)^2 + (∂z/∂A)^2(δz)^2 + ...
1. For z = me^y, where y is the measured quantity with uncertainty Δy and m is a constant, the uncertainty ΔA and percent uncertainty ΔA% of A can be calculated using the error propagation formula, considering the partial derivatives (∂x/∂A, ∂y/∂A, ∂z/∂A, ...) specific to this equation.
2. In the case of P = 4L + 3W, with L and W as measured quantities with uncertainties ΔL and ΔW respectively, the uncertainty ΔA and percent uncertainty ΔA% of A can be determined using error propagation, taking into account the partial derivatives (∂x/∂A, ∂y/∂A, ∂z/∂A, ...) based on the given equation.
3. Similarly, for the equation z = 3x - 5yx, with Δx and Δy being the uncertainties associated with x and y respectively, the uncertainty ΔA and percent uncertainty ΔA% of A can be calculated using error propagation and the specific partial derivatives (∂x/∂A, ∂y/∂A, ∂z/∂A, ...).
4. In the scenario I = A/r^2, where r is a measured quantity with uncertainty Δr and A is a constant, the uncertainty ΔA and percent uncertainty ΔA% of A can be determined using the provided error propagation formula and the relevant partial derivatives.
5. For N = 0.5rpR^4h, with R and h being measured quantities, the uncertainty ΔA and percent uncertainty ΔA% of A can be calculated using error propagation and the specific partial derivatives (∂x/∂A, ∂y/∂A, ∂z/∂A, ...) based on the given equation.
6. In the equation A = 2LW + 2WH + 2H, where L, W, and H are measured quantities with uncertainties ΔL, ΔW, and ΔH respectively, the uncertainty ΔA and percent uncertainty ΔA% of A can be determined using error propagation and the appropriate partial derivatives.
7. Finally, for the scenario involving M1, M2, and d as measured quantities with uncertainties ΔM1, ΔM2, and Δd respectively, the uncertainty ΔA and percent uncertainty ΔA% of A can be calculated using the error propagation formula and the relevant partial derivatives.
By applying error propagation and the provided formula to each scenario, we can calculate the uncertainty and percent uncertainty of the dependent quantity A in terms of the measured quantities and their respective uncertainties.
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I would like to know the answer..
Answer:
Ann’s work is correct
Step-by-step explanation:
Denton
When mapped on a coordinate plane, the coordinates of 2 of the towns are Albion (5, 5) and Denton (-7,-3). Beacon
is exactly in the middle of Albion and Denton, and Casper is exactly in the middle of Denton and Beacon.
What are the coordinates of Casper?
The coordinates of Casper which lies exactly in the middle of Denton and Beacon are (-4, -1).
What are the Coordinates?Coordinates are defined as the set of points in a coordinate plane or space, which describes the position of that point in that plane or space.
In a coordinate plane, the midpoint of two points (x₁, y₁) and (x₂, y₂) is the point (x, y) such that their measures are,
x = (x₁ + x₂) / 2
y = (y₁ + y₂) / 2
First, we can write the given measures.
Coordinates of Albion = (5, 5)
Coordinates of Denton = (-7, -3)
Given that, Beacon is lying exactly in the middle of Albion and Denton.
Let the coordinates of Beacon be (x, y).
Using the formula above,
x coordinate of Beacon = (5 + -7) / 2 = -1
y coordinate of Beacon = (5 + -3) / 2 = 1
Coordinates of Beacon are thus (-1, 1).
Casper is lying exactly in the middle of Denton(-7, -3) and Beacon (-1, 1).
Let (x' , y') be the coordinates of Casper.
Using the same formula,
x' = (-7 + -1) / 2 = -4
y' = (-3 + 1) / 2 = -1
Hence the coordinates of Casper are (-4, -1).
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Find the slope of the line that passes through (8, 9) and (6, 4).
Answer:
m = 5/2
Step-by-step explanation:
The slope is rise/run or (y2 - y1) / (x2 - x1)
The y decrease by 5, and the x decrease by 2, so the slope is
-5/-2 = 5/2
So, m = 5/2
Hello!
We are going to find the slope of the line that passes through our given points: (8, 9) and (6, 4).
To find the slope, we will use the slope formula, which states:
m = (y2-y1)/(x2-x1)
Our variables in the formula are given by the coordinates that we know.
(x1, y1)
(8, 9)
And
(x2, y2)
(6, 4)
Solve:
Plug in the coordinates into the correct variable and solve:
m = (y2-y1)/(x2-x1)
m = (4 - 9)/(6 - 8)
m = -5/(6 - 8)
m = -5/-2
Simplify:
m = 5/2
Therefore, the slope of the line is 5/2.
Answer:
5/2
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What is the geometric average of the following five returns: -36.81%, 19.14%, 23.77%, -6.34%, 31.17%.
The geometric average of the five returns is 20.14.%
What is geometric average?Geometric average or geometric mean is the average of a set of values calculated using the products of the terms or values.
The geometric average of a data set containing n observations is the nth root of the product of the values.
Calculating the geometric average of the following five returns: -36.81%, 19.14%, 23.77%, -6.34%, 31.17%:
n = 5
Geometric average = \(\sqrt[5]{(-36.81) \times (19.14) \times (23.77) \times (-6.34) \times (31.17)}\)
Geometric average = 20.14%
In conclusion, the geometric average mean is obtained as the nth root of the product of the values.
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A cyclist travels north along a road at a constant speed of 18 miles per hour. At 1:00 P.M., a runner is 46 miles away, running south along the same road at a constant speed. They pass each other at 3:00 P.M.. What is the speed of the runner?
By forming and solving equations, we know that the speed of the runner is 4 miles per hour.
What are equations?The equals sign is a symbol used in mathematical formulas to denote the equality of two expressions. An equation is a mathematical statement that contains the symbol "equal to" between two expressions with identical values. As in 3x + 5 = 15, for example. There are many different types of equations, including linear, quadratic, cubic, and others. The three primary forms of linear equations are point-slope, standard, and slope-intercept.So, we need to form an equation to get the speed of the runner:
2 × (18 + x) = 44'x' is the speed of the runner. Now, solve for x as follows:
2 × (18 + x) = 4418 + x = 44/218+x = 22x = 22 - 18x = 4 miles per bourTherefore, by forming and solving equations, we know that the speed of the runner is 4 miles per hour.
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PLEASE HELP!!!
Consider circle A with radius 1 unit.
A circle with center labeled A. There is a central angle labeled theta with the vertex located at the circle's center and whose legs are radii intersecting the circle at two distinct points, labeled B and C. Radii AB and AC are each 1 unit in length.
If θ=60°, what is the length, in radians, of arc BC?
Enter your answer in the box.
The arc is defined by an angle of 1.05 radians, and a length of 1.05 units.
How to get the angle in radians?Remember the relation:
180° = 3.14 radians.
Then:
60° = (60°/180°)*3.14 rad = 1.05 rad.
Now, for a circle of radius R, an arc defined by an angle θ has a length:
L = θ*R
Then the length of this arc is:
L = 1.05*1 unit = 1.05 units.
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Answer:
25 inches
Step-by-step explanation:
Consider a triangle with side lengths 5 and 13. What are the possibilities for the third side if the
triangle is right
Answer:
find the squares of both numbers
5²= 25
13²=169
minus the squares
169-25=144
find the square root of the answer above
✓144=12
the possibility of the third side is 12
Of customers ordering a certain type of personal computer, 20% order an upgraded graphics card, 30% order extra memory, 15% order both the upgraded graphics card and extra memory, and 35% order neither. Fifteen orders are selected at random. Let X1, X2, X3, X4 denote the respective numbers of orders in the four given categories.
a. Find P(X1 = 3, X2 = 4, X3 = 2, and X4 = 6)Probability =
b. Find P(X1 = 3).Probability =
a) P(X₁ = 3; X₂ = 4; X₃ = 2, and X₄ = 6), Probability = 0.0170 and b) P(X₁ = 3), Probability = C₃(0.2) (0.8) = 0.2501
Guests ordering a certain type of particular computer, 20 order an upgraded plates card, 30 order redundant memory, 15 order both the upgraded plates card and redundant memory, and 35 order neither. Fifteen orders are named at arbitrary. Let X₁, X₂, X₃, X₄ denote the separate figures of orders in the four given orders:
a) P(X₁ = 3; X₂ = 4; X₃ = 2, and X₄ = 6),
Probability = 0.0170
b) P(X₁ = 3)
Probability = C₃(0.2) (0.8)
= 0.2501
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Perimeter and area polynomials
The combined perimeter of
2b (14y - 12)
2c (18y + 4)
2d (14y - 16), is
\(P=14y-12+18y+4+14y-16\)Add the like terms
\(\begin{gathered} P=(14y+18y+14y)+(-12+4-16) \\ \\ P=46y+(-24) \\ \\ P=46y-24 \end{gathered}\)The combined perimeter is (46y - 24)
The combined area of
1b (10y^2 - 27y +5)
1c (20y^2 + 11y - 3)
1d (12y^2 -24y), is
\(A=10y^2-27y+5+20y^2+11y-3+12y^2-24y\)Add the like terms
\(\begin{gathered} A=(10y^2+20y^2+12y^2)+(-27y+11y-24y)+(5-3) \\ \\ A=42y^2+(-40y)+2 \\ \\ A=42y^2-40y+2 \end{gathered}\)The combined area is (42y^2 - 40y + 2)
Please help
solve the system of equations
Answer:
(x, y) = ( 5, 6)
(x, y) = ( - 1, 0)
Step-by-step explanation:
\( \begin{cases} y + x^2 - 5x = 6\\\\ y - x = 1\implies y = x + 1\end{cases} \)
Plug \( y = x +1 \) in the equation \( y + x^2 - 5x = 6\) we find:
\( x + 1 + x^2 - 5x = 6\)
\( x^2 - 4x - 5=0\)
\( x^2 - 5x +x- 5=0\)
\( x(x - 5) +1(x- 5)=0\)
\( (x - 5) (x+1)=0\)
\( (x - 5) =0, \: (x+1)=0\)
\( x =5, \: x=-1\)
\( When \:x =5 \implies y =5+1=6 \)
(x, y) = ( 5, 6)
\( When \:x =-1 \implies y =-1+1=0 \)
(x, y) = ( - 1, 0)
The tree diagram represents an
experiment consisting of two trials.
S
A
B
.4 C
6
13
D
C
D
The required probability is P(A and C) is 0.2 which is represented in the tree diagram.
What is probability?Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.
The given tree diagram represents an experiment consisting of two trials.
The tree diagram represents an experiment consisting of two trials. In this case, the probability of event A and event C occurring is represented by the intersection of branches A and C in the tree diagram.
This probability can be calculated by multiplying the probability of each individual event together.
As per the given question, we have
P(A) = 0.5
P(C|A) = 0.4
So, P(A and C) = 0.5 × 0.4 = 0.2
Thus, the required probability is P(A and C) is 0.2
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What is the image of the point 2/3 in the line?
The image of the point (2, 3) in the line y=−x is (-3, -2).
Let there be a point P(2, 3) on the cartesian plane. The image of this point in the line y=−x will lie on a line that is perpendicular to this line and the distance of this point from y=−x will be equal to the distance of the image from this line.
Let Q be the image of p and let the co-ordinate of Q be (h, k)
The slope of line y=−x is −1
Line joining P, Q will be perpendicular to y=−x so, its slope =1.
Let the equation of the line be y=x+c since this passes through points (2,3)
3=2+c⇒c=1
and the equation y=x+1
The point of intersection R lies in the middle of P & Q. Point of the intersection of lines y=−x and y=x+1 is
2y =1 , y= \(\frac{1}{2}\) and x = \(-\frac{1}{2}\)
Hence, \(\frac{h+2}{2} = -\frac{1}{2}\) and \(\frac{k+3}{2} = \frac{1}{2}\)
⇒ h=−3 and k =−2
So, the image of the point (2, 3) in the line y=−x is (-3, -2).
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The correct question is:
What is the image of the point (2,3) in the line y= -x?
A child is choosing between several types of cereal. The probability that he chooses Corn O's is 0. 113. The probability that he choose Rice O's is 8. 9% The probability that he chooses Wheat O's is 5/16. The probability that he chooses Bran O's is 0. 04 The probability that he chooses Chocolate O's is 3/10 Rank the cereals in order from least likely to be chosen to most likely to be chosen
To rank the cereals in order from least likely to be chosen to most likely to be chosen, we need to compare their probabilities. Here are the cereals ranked in order:
Bran O's (0.04): This cereal has the lowest probability of being chosen among the options provided.
Rice O's (8.9% or 0.089): This cereal has a higher probability than Bran O's but is lower than the remaining options.
Wheat O's (5/16 or 0.3125): This cereal has a higher probability than Rice O's but is lower than the remaining options.
Chocolate O's (3/10 or 0.3): This cereal has a higher probability than Wheat O's but lower than the last remaining option.
Corn O's (0.113): Among the given options, Corn O's has the highest probability and is the most likely to be chosen.
So, the cereals ranked from least likely to be chosen to most likely to be chosen are: Bran O's, Rice O's, Wheat O's, Chocolate O's, and Corn O's.
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convince yourself that 50 is the inverse of 5 modulo 83, and that 12 is the inverse of 7 modulo 83. find the inverse of 35 modulo 83.
The inverse of 35 modulo 83 is 59, and the inverse of 49 modulo 83 is 32.
To find the inverse of a number modulo another number, we need to find a number that, when multiplied by the original number, gives a remainder of 1 when divided by the modulus.
(a) To verify that 50 is the inverse of 5 modulo 83, we can calculate 5 * 50 ≡ 250 ≡ 1 (mod 83). Similarly, for 12 as the inverse of 7 modulo 83, we have 7 * 12 ≡ 84 ≡ 1 (mod 83). Therefore, both 50 and 12 are inverses of their respective numbers modulo 83.
(b) To find the inverse of 49 modulo 83, we need to find a number x such that 49 * x ≡ 1 (mod 83). We can use trial and error or utilize the extended Euclidean algorithm to calculate the inverse. In this case, we find that the inverse of 49 modulo 83 is 32 since 49 * 32 ≡ 1568 ≡ 1 (mod 83).
Hence, the inverse of 35 modulo 83 is 59, and the inverse of 49 modulo 83 is 32.
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Convert 110 inches to feet
110 inches is equal to 9.16 feet.
To convert inches to feet, you can use the conversion factor 1 foot = 12 inches. To convert 110 inches to feet, you would divide 110 by 12, which gives you 9.16 feet.
Converting inches to feet is a simple process; one needs to divide the number of inches by 12. 110 inches is equivalent to 9.16 feet.It's important to note that inches and feet are different units of measurement for length. Inches are commonly used in the imperial system, while feet are used in the imperial and US customary system.
When converting between different units of measurements, one should be careful as the conversion factors are different for different units of measurements.
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a statistics professor asked students in a class their ages. based on this information, the professor states that the average age of all the students in the university is 24 years. this is an example of a. an experiment. b. an observational study. c. statistical inference. d. descriptive statistics.\
The correct option is statistical inference (b).
The professor uses sample data from the population to determine the average age. Anytime inferential statistics or statistical inference is used to make inferences from samples.
Instead of gathering data from the entire institution, the professor took age samples from a class and used those data to draw conclusions about the entire university.
Descriptive statistics in statistics help you describe the facts, whereas inferential statistics assist you in drawing conclusions from the data.
Data from the sample are used in inferential statistics, which allows you to generalise about the population.
Inference generally refers to "guessing," which involves drawing conclusions about something.
So, drawing conclusions about the population is what is meant by statistical inference. It makes use of a number of statistical analytic tools to draw a conclusion about the population.
Therefore, the correct option is statistical inference.
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