Answer:
1 and 6 (alternate exterior angle)
2 and 5(corresponding angle)
4 and 5(co interior angle)
3 and 5(alternate interior angle)
Mr Bryce planted a garden in his backyard the length and width of the garden are shown below. what is the area, in square meters, of Mr. Bryce's garden. (Not sure about my answer)
Answer:
A. Area = 5/9 sq.meters
Step-by-step explanation:
Area = (lenght × widht)
\(A=(\frac{5}{6} )(\frac{2}{3}) =\frac{(5)(2)}{(6)(3)} =\frac{10}{18}\)
simplified
\(A=\frac{5}{9}\)
Hope this helps
An arc subtends a central angle measuring \dfrac{3\pi}{5} 5 3π start fraction, 3, pi, divided by, 5, end fraction radians. What fraction of the circumference is this arc?
Answer:
\(\dfrac{3}{10}\)
Step-by-step explanation:
Length of an arc\(=\dfrac{\theta}{2\pi}X 2\pi r=\theta r\)
If the central angle of the arc is \(\dfrac{3\pi}{5}\)
Length of an arc\(=\dfrac{3\pi r}{5}\)
Therefore:
Ratio of the length of the arc to the circumference
\(=\dfrac{3\pi r}{5}:2\pi r\\=\dfrac{3\pi r}{5*2\pi r}\\=\dfrac{3}{10}\)
Therefore, the arc is \(\dfrac{3}{10}\) of the circumference is this arc.
Answer: 3 /10
Step-by-step explanation: Khan Academy
The approximate length of a solar year in seconds is 3.15569 x 107. What is 3.15569 x 107 in positional numeration?
Positional numeration is a system of representing numbers using positional notation. In this system, each digit represents a multiple of the base of the number system, which is usually 10 in our decimal system. The number 3.15569 x 10^7 in positional numeration is 31,556,900.
The value of a digit is determined by its position, with the rightmost digit representing the ones place, the next digit to the left representing the tens place, and so on. To convert the given number, 3.15569 x 10^7, into positional numeration, we first need to express it in scientific notation. In scientific notation, a number is expressed as a product of a coefficient and a power of 10. In this case, the coefficient is 3.15569, and the power of 10 is 7. Therefore, the given number can be expressed as: 3.15569 x 10^7
To convert this number into positional numeration, we can simply multiply the coefficient by the power of 10. This can be done by moving the decimal point of the coefficient 7 places to the right, since 10^7 is a power of 10 with exponent 7. The resulting number is: 31,556,900
Therefore, the number 3.15569 x 10^7 in positional numeration is 31,556,900. It is important to remember that positional numeration is a system of representing numbers using positional notation based on the base of the number system, which is usually 10 in our decimal system.
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Ricky is solving a multiplication problem where both terms include decimal values. The first term has 4 digits after the decimal. The second term has 5 digits after the decimal. The product will have how many digits after the decimal?
Answer:
9 digits
Step-by-step explanation:
when doing multiplication with decimals the amount of digits after the decimal in the final product will be the sum of the amounts of digits after the decimal in the two numbers being multiplied together
For example, If you were to multiply 6.789 by 10.321 the answer would be 70.069269. There are six digits after the decimal because the numbers being multiplied each have three digits after their decimals
(If that makes sense. If not, I'm sorry)
Consider a particle of mass m moving in the square well, i.e., in the interval [0,a], where V(x)=0 in this interval, and V(x)=[infinity] for x>a and x<0. The energy levels are given by: E=En= n^2 π^2 h^2/2ma^2 ,n=1,2,…,
and the corresponding eigenfunctions: ψ n (x)= √2/a sin( nπx/a) from which it follows that: ψ n (x,t)= √2/a sin( nπx/a) e (n^2 π^2 h^2)/2ma^2
(a) (5 marks) Compute E e n(X), where E p n
(X) denotes the expectation value of X in the state ψ n
(b) (5 marks) Compute E v n(X 2). (c) (5 marks) Compute E ψ n(P). (d) (5 marks) Compute E φ˙n(P 2). (e) (5 marks) State the uncertainty relation and determine the state ψ n for which the uncertainty is a minimum.
(a) To compute\(E_e_n\)(X), we need to find the expectation value of the operator X in the state ψ_n.
The operator X corresponds to the position of the particle. The expectation value of X in the state ψ_n is given by:
\(E_e_n\)(X) = ∫ ψ_n* X ψ_n dx,
where ψ_n* represents the complex conjugate of ψ_n. Since ψ_n = √(2/a) sin(nπx/a), we can substitute these values into the integral:
\(E_e_n\)(X) = ∫ (2/a) sin(nπx/a) * X * (2/a) sin(nπx/a) dx.
The integral is taken over the interval [0, a]. The specific form of the operator X is not provided, so we cannot calculate \(E_e_n\)(X) without knowing the operator.
(b) To compute \(E_v_n\)(X^2), we need to find the expectation value of the operator X^2 in the state ψ_n. Similar to part (a), we can calculate it using the integral:
\(E_v_n\)(X^2) = ∫ (2/a) sin(nπx/a) * X^2 * (2/a) sin(nπx/a) dx.
Again, the specific form of the operator X^2 is not given, so we cannot determine \(E_v_n\)(X^2) without knowing the operator.
(c) To compute E_ψ_n(P), we need to find the expectation value of the momentum operator P in the state ψ_n. The momentum operator is given by P = -iħ(d/dx). We can substitute these values into the integral:
E_ψ_n(P) = ∫ ψ_n* P ψ_n dx
= ∫ (2/a) sin(nπx/a) * (-iħ(d/dx)) * (2/a) sin(nπx/a) dx.
(d) To compute E_φ˙n(P^2), we need to find the expectation value of the squared momentum operator P^2 in the state ψ_n. The squared momentum operator is given by P^2 = -ħ^2(d^2/dx^2). We can substitute these values into the integral:
E_φ˙n(P^2) = ∫ ψ_n* P^2 ψ_n dx
= ∫ (2/a) sin(nπx/a) * (-ħ^2(d^2/dx^2)) * (2/a) sin(nπx/a) dx.
(e) The uncertainty relation in quantum mechanics is given by the Heisenberg uncertainty principle:
ΔX ΔP ≥ ħ/2,
where ΔX represents the uncertainty in the position measurement and ΔP represents the uncertainty in the momentum measurement. To determine the state ψ_n for which the uncertainty is a minimum, we need to find the values of ΔX and ΔP and apply the uncertainty relation. However, the formulas for ΔX and ΔP are not provided, so we cannot determine the state ψ_n for which the uncertainty is a minimum without further information.
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The state sales tax in one state is 5.5%, or 0.055. The state sales tax in a second state is 6%, or 0.06. How much greater was the sales tax in the second state than the first state?
Answer:
0.5 i think
Step-by-step explanation:
A parachutist's rate during a free fall reaches 207 kilometers per hour. What is this rate in meters per second? At this rate, how many meters will the parachutist fall during 10 seconds of a free fall?
To convert kilometers per hour to meters per second, we need to divide by 3.6. Therefore, the parachutist's rate during free fall in meters per second is:
207 km/h ÷ 3.6 = 57.5 m/s
To find the distance the parachutist will fall during 10 seconds of free fall, we can use the formula:
distance = 1/2 x acceleration x time^2
The acceleration due to gravity is approximately 9.8 m/s^2. Therefore, the distance the parachutist will fall during 10 seconds of free fall is:
distance = 1/2 x 9.8 m/s^2 x (10 s)^2 = 490 m
So the parachutist will fall 490 meters during 10 seconds of free fall at a rate of 207 kilometers per hour, which is equivalent to 57.5 meters per second.
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Mrs. Wallace, who is always in a hurry, walks up an escalator that is also traveling
up. The escalator is d feet long and travels at a rate of 2 feet per second. Mrs.
Wallace, climbing the escalator at a rate of 6 feet per second, arrives at the top in
t seconds. Which equation best represents this information?
4 = dt
8 = dt
d = 41
d=81
Answer:
4 = dt
I hope this helps
Sorry if it's wrong
hi pls help answer this!
Answer:
363-138=-5x
Step-by-step explanation:
Let c = cost
We know that the total cost is $363:
363-??????
We also know that he spent $138 on parts:
363-138?????
And we are solving for the cost of labor per hour:
363-138=5x
We can use this equation to find the total cost of labor per hour.
Hence, your equation will be 363-138=5x
determine the intervals on which the graph of =()y=f(x) is concave up or concave down, and find the points of inflection.
the graph of f(x) = x^3 - 3x^2 - 9x + 5 is concave down on the interval (-∞, 1), concave up on the interval (1, +∞), and has a point of inflection at x = 1.
To determine the intervals on which the graph of a function is concave up or concave down, we need to analyze the second derivative of the function. The concavity of a function can change at points where the second derivative changes sign.
Here's the step-by-step process to find the intervals of concavity and points of inflection:
Find the first derivative of the function, f'(x).
Find the second derivative of the function, f''(x).
Set f''(x) equal to zero and solve for x. The solutions give you the potential points of inflection.
Determine the intervals between the points found in step 3 and evaluate the sign of f''(x) in each interval. If f''(x) > 0, the graph is concave up; if f''(x) < 0, the graph is concave down.
Check the concavity at the points of inflection found in step 3 by evaluating the sign of f''(x) on either side of each point.
Let's go through an example to illustrate this process:
Example: Consider the function f(x) = x^3 - 3x^2 - 9x + 5.
Find the first derivative, f'(x):
f'(x) = 3x^2 - 6x - 9.
Find the second derivative, f''(x):
f''(x) = 6x - 6.
Set f''(x) equal to zero and solve for x:
6x - 6 = 0.
Solving for x, we get x = 1.
Therefore, the potential point of inflection is x = 1.
Determine the intervals and signs of f''(x):
Choose test points in each interval and evaluate f''(x).
Interval 1: (-∞, 1)
Choose x = 0 (test point):
f''(0) = 6(0) - 6 = -6.
Since f''(0) < 0, the graph is concave down in this interval.
Interval 2: (1, +∞)
Choose x = 2 (test point):
f''(2) = 6(2) - 6 = 6.
Since f''(2) > 0, the graph is concave up in this interval.
Check the concavity at the point of inflection:
Evaluate f''(x) on either side of x = 1.
Choose x = 0 (left side of x = 1):
f''(0) = -6.
Since f''(0) < 0, the graph is concave down on the left side of x = 1.
Choose x = 2 (right side of x = 1):
f''(2) = 6.
Since f''(2) > 0, the graph is concave up on the right side of x = 1.
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I need help!!! ITS IMPORTANT
Answer:
Electricity makes work easier.
We do not have to walk to a river to get water or wash our clothes and we can cook foods by switching a button.
Step-by-step explanation:
Answer:
hi how are you fineeeeee
x-y=8 write it in slope-intercept form
The equation y = x - 8 is expressed as a slope-intercept form.
What is slope-intercept form?The equation is defined as a mathematical statement that has a minimum of two terms containing variables or numbers that are equal.
The slope-intercept form is y = mx+c, where the slope is m and the y-intercept is c.
The equation is given in the question, as follows:
x - y = 8
We have to write it in the slope-intercept form,
As per the question, we have
x - y = 8
Rearrange the variables in the above equation, and we get
y = x - 8
This equation is in the slope-intercept form.
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What is the slope of the line that passes through (4, 5) and (8, -1)?
Answer:
m = -3/2
Step-by-step explanation:
The slope of a line is equivalent to the formula:
m = slope = rise/run = \(\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\)
Given the two coordinate pairs, we can label them accordingly.
In math, coordinate pairs are set up in a way that the x-coordinate is given first and the y-coordinate is given second.
Therefore, with this information, we can label the coordinate pairs with this info.
\((x_{1}, y_{1})\) and \((x_{2}, y_{2})\) is the default labeling system for two coordinate pairs.
Then, we can use this information to label our coordinate pairs, place them into the slope formula, and solve for m.
\(m=\frac{-1-5}{8-4}\\\\m = \frac{-6}{4}\\\\\boxed{m=-\frac{3}{2}}\)
Can someone please help I can't solve this problem!!!!!!!!!!!
Answer:
8 dolls
Step-by-step explanation:
METHOD 1:
Step 1: Convert 25% into decimal (0.25)
Step 2: Multiply by 32 (32 × 0.25 = 8)
METHOD 2:
25% of a number will be one-fourth of that number. Divide 32 by 4 to get 8 (or multiply 32 by 1/4).
what is the answer to
-(-4x-7)+x=-4
Answer:
-128
Step-by-step explanation:
hope it helps srry if its wroung:>
will mark brainliest for correct answer!!
Answer: sin C = 7/25, cos C = 24/25, tan C = 7/24
Step-by-step explanation: Use trig ratios based on angle C
Answer:
see explanation
Step-by-step explanation:
sin C = \(\frac{opposite}{hypotenuse}\) = \(\frac{AB}{AC}\) = \(\frac{7}{25}\)
cos C = \(\frac{adjacent}{hypotenuse}\) = \(\frac{BC}{AC}\) = \(\frac{24}{25}\)
tan C = \(\frac{opposite}{adjacent}\) = \(\frac{AB}{BC}\) = \(\frac{7}{24}\)
Find the answer don’t mind my answer
Answer:
PUT YOUR HANDS UP AND GIVE ME YOUR POINTS!!!
Step-by-step explanation:
hehe
five over seven plus blank over six equals fifty one over forty two
Answer:
The blank is 3
Step-by-step explanation:
1 - Give the blank a variable
x = our blank
2 - Write it out
\(\frac{5}{7} + \frac{x}{6} = \frac{51}{42}\)
3 - Get the denominators equal
\(\frac{5}{7}(\frac{6}{6}) +\frac{x}{6}(\frac{7}{7}) = \frac{51}{42} \\\frac{30}{42}+\frac{7x}{42} = \frac{51}{42}\)
4 - Simplify
\(\frac{30+7x}{42} = \frac{51}{42} \\ \frac{30+7x}{42} = \frac{51}{42}\)
5 - Solve for the numerators
30+7x = 51
-30 -30
7x = 21
x = 3
Answer: it’s 3
Step-by-step explanation: Sorry if im wrong lol
From: me?
!!!PLEASE ANSWER VERY QUICKLY I AM TIMED!!!
Suppose that 14 inches of wire costs 70 cents. At the same rate, how much (in cents) will 37 inches of wire cost?
Answer:
Step-by-step explanation:
2590
please help: find m∠LHF
Answer:
17
Step-by-step explanation:
5y - 8 = 9y - 28
-8 = 4y - 28
4y = 20
y = 5
9(5) - 28
45 - 28
17
Please help given mts & sqp find sp
The value of length SP for the two given similar triangles is 11.
What is similar triangle?
Similar triangles are triangles that have the same shape but are different in size. In other words, their corresponding angles are equal, and their corresponding sides are proportional.
This means that if you were to take one of the similar triangles and enlarge or shrink it, while keeping the angles the same, it would still be a similar triangle.
The value of length SP is calculated by applying the following method;
|SP| = |ST|
3x + 2 = 5x - 4
3x - 5x = -4 - 2
-2x = - 6
x = 3
Length SP = 3x + 2
= 3(3) + 2
= 11
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a. 51 b.102 c.112 d.258
Help me please I need help
Answer:
Step-by-step explanation: you need to dived by3000
(b) The volume of water in a container is
directly proportional to the cube of its depth.
When the depth is 12 cm, the volume is 576 cm3.
Calculate
(i) the volume when the m is 1300 cm?. [2]
Answer:
See below.....Something is wrong with your question
Step-by-step explanation:
v = k d^3 or k = v/d^3 = 576/12^3 = 1/3
when depth (??? m??) is 1300 :
1/3 = v / (1300^3) = 732 333 333 .3 cm^3
Estimate the quotient of 72.4 ÷ 9.38.
8
9
10
11
Answer:
7.719
Step-by-step explanation:
How are chords and secants alike? How are they different?
They are alike because they both intersect the circle
They are different because chord
and secants are
:: once
.: twice
: three times
:: four times
:: lines
:: rays
: segment
Check
? Help
2
3
4
5
6
-
NEXT >
Type here to search
Answer:
twice
Step-by-step explanation:
??
A block of cheese is in the shape of a triangular prism. The dimensions are shown in the diagram.
The volume of the cheese is 969 cubic centimeters. What is h, the right of the block of cheese in centimeters?
__________________
Answer:
the height of the right triangle face of the cheese block is 17 centimeters.
Step-by-step explanation:
We can use the formula for the volume of a triangular prism to solve for h:
Volume = (1/2) × base × height × length
where the base is the length of the triangle, the height is the height of the triangle, and the length is the length of the prism.
We know that the volume of the cheese is 969 cubic centimeters, so we can substitute the given values into the formula:
969 = (1/2) × 12 × 9 × h
Multiplying both sides by 2, we get:
1938 = 12 × 9 × h
Dividing both sides by (12 × 9), we get:
h = 1938 ÷ (12 × 9) = 17
Therefore, the height of the right triangle face of the cheese block is 17 centimeters.
Find the following , giving your answers to 1 decimal place
Answer:
V=301.4cm^3
A=188.4cm^3
I hope it will be useful.
Answer:
Step-by-step explanation:
I. Volume = 301.6 cm³ (to 1d.p)
II. CSA = 188.5 cm² (to 1d.p)
Step-by-step explanation:
Given the following data;
Height, h = 8cm
Radius, r = 6cm
Curved length = 10cm
a. To find the volume of the cone
Where;
V is the volume of the cone.
r is the radius of the base of the cone.
h is the height of the cone.
Substituting into the equation, we have;
Volume = 301.6 cm³ (to 1d.p)
b. The curved surface area of the cone
Where;
CSA is the curved surface area of the cone.
r is the radius of the base of the cone.
l is the curved length of the cone.
Substituting into the equation, we have;
CSA = 188.5 cm² (to 1d.p)
Find the multiplication inverse of {c} finite field with irreducible matrix of { x²+x+1}
The multiplicative inverse of [c] is [x+1]in the finite field defined by the irreducible polynomial x²+x+1.
To find the multiplicative inverse of the element [c] in this finite field.
We need to define the irreducible polynomial f(x)=x²+x+1 as the modulus.
Set up the extended Euclidean algorithm with f(x) and x and perform the calculations until the remainder becomes a constant (degree 0) polynomial.
The coefficient of the constant term in the remainder polynomial will be the multiplicative inverse of [c] in the finite field.
The extended Euclidean algorithm:
f(x) = x²+x+1
x = f(x) × 0 + x
x = (x) × (-1) + (x + 1)
-1 = x + 1
Hence, the multiplicative inverse of [c] is [x+1]in the finite field defined by the irreducible polynomial x²+x+1.
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Use the distributive property and then combine like terms to simplify each expression. 4(x-2) + 4(x + 4)-(8x + 1)
Answer:
8(×2)+8(×+4)-(4×+9)