Answer:
-\(\frac{1}{2}\)
Step-by-step explanation:
Step-by-step explanation:
1/3 with both sides multiplied by two in order to have same denominator of both fractions, which is 6.
(1/3) x (2/2) = 2/6
Replacing 1/3 with 2/6,
the [ 1/3 - 5/6] becomes [2/6 - 5/6]
2/6 - 5/6 = -3/6
Simplify -3/6 by dividing both sides with 2,
-3/6 becomes -1/2
ANSWER: -1/2
In ethan’s rose garden, 3 of the rose bushes are blooming and the other 18 rose bushes are not blooming. What is the ratio of the number of bushes that are blooming to the number of bushes that are not blooming?
Answer: 3:18
Step-by-step explanation:
3 are blooming, 18 aren't
it doesn't ask blooming to total, but asks blooming to not blooming, so the ratio is 3:18
Add 1101 power of 2 + 1101 power of 2… show full working out as well
You're either asking to evaluate
1101² + 1101²
or, seeing as 1101 consists only of 0s and 1s, you're asking to compute a sum in base 2,
1101₂ + 1101₂
If you really mean 1101² + 1101², we have
1101² = (1100 + 1)²
… = 1100² + 2•1100•1 + 1²
… = 1,210,000 + 2200 + 1
… = 1,212,201
so that
1101² + 1101² = 2 • 1,212,201 = 2,424,402
I think the latter is the more likely scenario. In base 2, we have
0₂ + 0₂ = 0₂
1₂ + 0₂ = 0₂ + 1₂ = 1₂
1₂ + 1₂ = (2)₂ = (2 + 0)₂ = 10₂
So, when we add the digits of 1101₂ and 1101₂ in the same place value, we have
• in the "ones" place, 1₂ + 1₂ = 10₂
• in the "twos" place, 0₂ + 0₂ + 1₂ = 1₂, where we carry the leading 1 from the previous place sum
• in the "fours" place, 1₂ + 1₂ = 10₂
• in the "eights" place, 1₂ + 1₂ + 1₂ = 11₂, where we again carry the leading 1 from before
Then
1101₂ + 1101₂ = 11010₂
Please help explanation if possible
Answer:
(- 3, 2 )
Step-by-step explanation:
Given the 2 equations
x + 3y = 3 → (1)
- 2x + 3y = 12 → (2)
Subtract (1 ) from (2) term by term to eliminate y
- 2x - x + (3y - 3y) = 12 - 3
- 3x = 9 ( divide both sides by - 3 )
x = - 3
Substitute x = - 3 into either of the 2 equations and solve for y
Substituting into (1)
- 3 + 3y = 3 ( add 3 to both sides )
3y = 6 ( divide both sides by 3 )
y = 2
solution is (- 3, 2 )
Type a related division fact for 10 × 12 = 120.
Answer:
120 divided by 10 is 12. 120 divided by 12 is 10.
in which phases of data science life cycle do we answer the following questions respectively? - what are the biases, anomalies, or other issues with the data? - is our data representative of the population we want to study? - does the data answer our questions or accurately solve the problem?
Operationalize is the phase of data science life cycle in which we answer biases, anomalies, or other issues with the data.
Yes, our data representative of the population we want to study
Yes, the data answer our questions or accurately solve the problem.
The phases of data science life cycle are :
Discovery: This is the initial phase in which we first explores different project in which we want to work.
Information preparation: In this stage, we actually investigate, preprocess and condition data for modelling.
Operationalize: In this stage, we convey the last briefings, code, and specialized reports. In the expansion, now a pilot venture is additionally actualized in a real-time generation environment.
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Carlos drove 1,064 miles on his vacation. He drove a total of 20 hours. What is the average number of miles Carlos drove each hour? Group of answer choices
Which of the following probability distributions is widely used in Australia for flood frequency analysis (annual peaks) and recommended by the Australian Rainfall & Runoff guideline? a) Gumbel b) Log-Pearson III c) Log-Normal d)Normal
The widely used probability distribution in Australia for flood frequency analysis (annual peaks) and recommended by the Australian Rainfall & Runoff guideline is the Gumbel distribution.
The Gumbel distribution is often used in hydrology and engineering for flood frequency analysis. It is a type of extreme value distribution that is commonly applied to estimate the probability of extreme events, such as flood peaks. The Gumbel distribution is characterized by its shape and location parameters, which can be estimated from historical flood data.
The Gumbel distribution is preferred for flood frequency analysis in Australia because it provides a good fit to the observed flood data, especially for high-magnitude events. It allows engineers and hydrologists to estimate the return period of floods of different magnitudes, which is crucial for designing infrastructure and managing flood risks.
In summary, the Gumbel distribution is widely used in Australia for flood frequency analysis and recommended by the Australian Rainfall & Runoff guideline. It is a valuable tool for estimating the probability of extreme flood events and informing flood risk management strategies.
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The system of equations shown below is graphed on a coordinate grid:
3y + x = 4
2y − x = 6
Which statement is true about the coordinates of the point that is the solution to the system of equations?
A. It is (−2, 2) and lies on both lines.
B. It is (−5, 3) and lies on both lines.
C. It is (−5, 3) and does not lie on either line.
D. It is (−2, 2) and does not lie on either line.
Please help asap!! WILL GIVE BRAINlIEST!! tysssm if u help!!!
Answer:
add 2 equations given
3y+x+2y- x = 10
5y =10
y = 2
find x using the value of y
x = - 2
these values of x and y are can satisfy both equations .so (-2,2) lies on both lines
PLS HELP ASAP!! WORTH 30 POINT,PLS TRY TO BE ORGANIZED AND IF U CAN MAYBE DO IT ON PAPER SO ITS EASIER LIKE JS SOLVE IT ON PAPER W/O NO EXPLANATION OR ON HERE W EXPLANATION.SHOW UR WORK PLS SOLVE INEQUALITIES WITH INTEGERS, Q:#12-#15 THANK UU(:
The range of x are;
1. x < -30
2. x > 8
3. x > 15
4. x < -2
What is inequality?A relationship between two expressions or values that are not equal to each other is called 'inequality.
1. -130 > 50x +20
-130-20> 50x
-150 > 50x
-150/50 > x
-30 > x
x < -30
2. -8(x-3) < -40
-8x +24< -40
collect like terms
-8x < -64
x > -64/-8
x > 8
3. 2x - 22 > 8
collect like terms
2x > 30
divide both sides by 2
x > 30/2
x > 15
4. -35 < -5(x+9)
-35 < -5x -45
collect like terms
10 < -5x
-2 > x
x < -2
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PLZ HELP ME I DON'T WANNA FAIL THIS
Answer
Step-by-step explanation:
sentence 3 does not use a correct verb.
example 2 major premise: no dogmatists are scholars who encourage free thinking. minor premise: some theologians are scholars who encourage free thinking. conclusion: some theologians are not dogmatists. the major premise in example 2 is an proposition. the minor premise in example 2 is an proposition. the conclusion in example 2 is an proposition. therefore, the mood of the categorical syllogism in example 2 is .
The mood of the categorical syllogism in example 2 is AIO.
In your example, we have the following premises and conclusion:
1. Major Premise: No dogmatists are scholars who encourage free thinking.
2. Minor Premise: Some theologians are scholars who encourage free thinking.
3. Conclusion: Some theologians are not dogmatists.
The major premise in example 2 is an A proposition (All S are not P). The minor premise in example 2 is an I proposition (Some S are P). The conclusion in example 2 is an O proposition (Some S are not P).
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Please help me i dont the answer
\( \huge\underline\mathcal{Answer \: -} \)
We know that ,
exterior angle equals sum of two interior opposite angles.
therefore ,
\(\bold{x + x + 14 = 136\degree} \\ \\ \longrightarrow \: 2x + 14 = 136\degree \\ \\ \longrightarrow \: 2x = 136\degree - 14 \\ \\ \longrightarrow \: 2x = 122\degree \\ \\ \longrightarrow \: x = \cancel\frac{122}{2} \\ \\ \longrightarrow\boxed{ \: x = 61\degree}\)
hence , the first option is correct.
hope helpful ! ;-;
Answer:
First find the last angle of the triangle.
180 - 136 = 44° (sum of angles on a straight line=180)
Form an equation with the unknown angles with the knowledge that sum of angles in a triangle add up to 180°.
x + (x + 14) + 44 = 180
Simplify and solve for x.
2x + 58 = 180
2x = 122
x = 61
3(2x − 1) ≤ 4x + 7 ?
Answer: x ⩽ 5
Step-by-step explanation
6x - 3 ⩽ 4x + 7
6x - 4x ⩽ 7+3
2x ⩽ 10
x ⩽ 5
Answer:
x ≤ 5
Step-by-step explanation:
Step 1: Simplify both sides of the inequality.
6x − 3 ≤ 4x + 7
Step 2: Subtract 4x from both sides.
6x − 3 − 4x ≤ 4x + 7 −4x
2x − 3 ≤7
Step 3: Add 3 to both sides.
2x − 3 + 3 ≤ 7 + 3
2x ≤1 0
Step 4: Divide both sides by 2.
2x /2 ≤ 10 /2
x ≤ 5
Hope this helps!
Find, correct to the nearest degree, the three angles of the triangle with the given vertices.
A(1, 0, -1), B(2, -3,0), C(1, 5, 4)
ZCAB = ___
ZABC = ___
ZBCA = ___
The vertices of a triangle are A(1, 0, -1), B(2, -3, 0), and C(1, 5, 4). The three angles of the triangle ZCAB, ZABC, and ZBCA are to be found.
Solution: We first find the length of each side of the triangle using the distance formula. distance between A and B = AB = 3.16distance between B and C = BC = 8.12distance between A and C = AC = 5.83Now we apply the Law of Cosines for each of the three angles. ZCAB ZABC ZBCA
Therefore, the angles ZCAB, ZABC, and ZBCA are 101°, 31°, and 48°, respectively. Rounding these to the nearest degree, we get
ZCAB = 101°
ZABC = 31°
ZBCA = 48°.
Therefore, the correct answer is:
ZCAB = 101°, ZABC = 31°, and ZBCA = 48°.
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If f(x)=1/9x-2
what is f'(x)
Find an equation for the line with the given properties. Express the equation in slope-intercept form.
Slope = 2; containing the point (-8,2)
What is the equation of the line?
y=
(Type your answer in slope-intercept form.)
Answer:
y = 2x + 18
Step-by-step explanation:
This is slope intercept form: y = mx + b
m = slope
b = y-intercept
We are already given the slope, 2
y = 2x + b
Now we just need to find b, so plug in the given coordinates
2 = 2(-8) + b
2 = -16 + b
Add 16 to both sides
2 = -16 + b
+ 16 + 16
b = 18
Now place in the new b into the the equation
y = 2x + 18
answer this question:
Write the ratios for :
sin M:
Cos M:
and tan M:
Give the exact value and a four-decimal approximation
Required values of the given sin M, Cos M and tan M are 0.4959, 0.3571 and 2.7889 respectively.
What is Trigonometric ratio?
Trigonometric ratios are mathematical relationships between the angles and sides of a right triangle. They are expressed as the ratio of the length of one side of the triangle to another, and are commonly referred to as sine, cosine, tangent, cosecant, secant, and cotangent. These ratios are widely used in various fields of mathematics, science, engineering, and technology, and play a significant role in solving problems related to geometry, physics, and other disciplines.
To find the sine, cosine, and tangent of angle M in triangle KLM, we can use the following trigonometric ratios:
sin M = opposite/hypotenuse = KL/ML
cos M = adjacent/hypotenuse = MK/ML
tan M = opposite/adjacent = KL/MK
Substituting the given values, we get:
sin M = KL/ML = (3√19)/14
cos M = MK/ML = 5/14
tan M = KL/MK = (3√19)/5
Using a calculator, we can find the decimal approximations:
sin M ≈ 0.4959
cos M ≈ 0.3571
tan M ≈ 2.7889
Therefore, the exact values and four-decimal approximations for sin M, cos M, and tan M are:
sin M = (3√19)/14 ≈ 0.4959
cos M = 5/14 ≈ 0.3571
tan M = (3√19)/5 ≈ 2.7889
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Student P and Student Q are both saving money for a trip. Student P saves $10 every day, while Student Q starts saving 2 days after Student P and saves $15 each day Define a variable and write an equation that represents the information given. Determine the number of days after Student P starts saving when both students will have saved the same amount of money.
Both students will have saved the same amount of money after 6 days of Student P saving money.
What are variables ?
In mathematics and statistics, a variable is a quantity or value that can vary or change across different situations or contexts. Variables are used to represent unknown or changing values in mathematical equations, models, and experiments.
There are two main types of variables: independent variables and dependent variables. An independent variable is a variable that can be controlled or manipulated in an experiment or equation. A dependent variable, on the other hand, is a variable that is affected by changes in the independent variable.
According to the question:
Let's define the variable "d" as the number of days after Student P starts saving.
Then, the equation that represents the total amount of money saved by Student P after "d" days is:
Total amount saved by Student P = $10 x d
Similarly, the equation that represents the total amount of money saved by Student Q after "d-2" days (since Student Q starts saving 2 days later than Student P) is:
Total amount saved by Student Q = $15 x (d-2)
To find the number of days after Student P starts saving when both students will have saved the same amount of money, we can set these two equations equal to each other and solve for "d":
$10 x d = $15 x (d-2)
Expanding and simplifying this equation, we get:
$10d = $15d - $30
$5d = $30
d = 6
Therefore, both students will have saved the same amount of money after 6 days of Student P saving.
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Which expression is equivalent to -20 - (-4)
A. -20+4
B. 20+4
C.-20 -4
D. 20-4
The given expression [-20 - (-4)] is equivalent to (-20 + 4).
What is a linear equation?A linear expression is an expression in which the highest power of the variable is always 1. If there is no variable, we can assume the power of the variable as 0.
Therefore, the variable x⁰ = 1.
Given linear expression:
-20 - (- 4)
= (-20 + 4)
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Find each quotient
-7/12 divided by 1/7
Answer:
-4 1/12
i just put it in a calculator
30 POINT QUESTION! FIRST TO ANSWER GETS BRAIN
What are the coordinates of the midpoint of
line segment EF, shown below?
What does the point (0, 0) on the graph represent?
Answer:
the origin
Step-by-step explanation:
Answer:
It is the origin of the graph.
Step-by-step explanation:
What is Sin 45 degrees?
Answer:
The value of Sin 45 degree in decimal form is 0.7071067812. Sin 45 degree in decimal form is 0.7071067812. Sin is one of the most important functions in trigonometry as it is used to find out the unknown values of the angles and length of the sides of a right-angle triangle.
hope i was clear and that this helps!! ^^
have a great day!!
The sin 45° = 1 /√2 is answer.
It is required to find the value of sin 45°.
What is trigonometry?The branch of mathematics dealing with the relations of the sides and angles of triangles and with the relevant functions of any angles.
As we know that a right angled isosceles triangle has two non-right angles equal.
By applying the Pythagorean Theorem, we conclude the hypotenuse to be √2 .
sinθ=perpendicular/hypotenuse
sin45°=1 /√2
Hence, sin45°=1 /√2
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4. A regular pentagon has side lengths given below. Find the length of one side.
4q+1 = 11-q
r+s
s+t-1
3r
a) 9
b) 4
c) 3
d) 2
Answer:
d)2
Step-by-step explanation:
you would group-like terms and so
4q+q=11-1
5q=10(you would let q stand on it own)
so you divide through by 5
5q/5=10/5
q=2
the helix r(t) = cos(πt/2), sin (πt/2),t) intersects the sphere x^2 + y^2 + z^2 = 2 in two points. Find the angle of intersection at each point.
the helix r(t) = cos(πt/2), sin (πt/2),t) intersects the sphere x^2 + y^2 + z^2 = 2 in two points.
the angle of intersection at each point: θ = cos⁻¹ (√2/√π²+4)
the angle of intersection at each point: α = cos⁻¹(-√2 /(√π² +4))
What is helix?Scientists in the fields of physics, engineering, and biology all do research on helices, which are a significant topic in the theory of curves in differential geometry. Helix (or generic helix) is defined as tangent vector field in 3-dimensional Euclidean space establishing a fixed angle with the curve's direction. A curve for which the tangent forms a constant angle with a fixed line is referred to as a helix or coil.
helix: r(t) = < cos(πt/2), sin(πt/2), t > sphere: x² + y² + z² = 2
put it in the sphere's equation we get:
next, {cos(πt/2)}² + {sin(πt/2)}² + t² = 2
or, 1 + t² = 2
or, t² = 1
or, t = ± 1
thus, points of intersection r(1) = < cos(π/2), sin(π/2), 1 > = < 0, 1, 1 >
r(-1) = < cos(-π/2), sin(-π/2), -1 > = < 0, -1, -1 >
angle intersection is angle between their tangent:
helix:
r(t) = < -π/2 sin(πt/2), π/2 cos(πt/2), 1 >
r'(1) = < -π/2, 0, 1 > .........(i)
r'(-1) = < π/2, 0, 1 > ......... (ii)
sphere:
f = (x² + y² + z² - 2) = 0
Δf = <2x, 2y, 2z>
Δf (0,1,1) = <0,2,2> ................ (iii)
Δf (0,-1,-1) = <0,-2,-2> .............(iv)
angle between (i) and (iii) (at, t = 1)
cosθ = {r'(1) Δf (0,1,1)} / {|r'(1)| |Δf (0,1,1)|]
θ = cos⁻¹ (√2/√π²+4)
angle between (ii) and (iv) (at, t = 1)
cosα = r'(-1)Δf (0,-1,-1) / ||r'(-1)|| ||Δf (0,-1,-1) ||
cos α = -√2 /(√π² +4)
α = cos⁻¹(-√2 /(√π² +4))
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Is the sequence 111,103.8,96.6,89.4 arithmetic or geometric
The given sequence is an arithmetic sequence.
An arithmetic sequence is a sequence of numbers in which each term after the first is obtained by adding a fixed constant called the common difference to the previous term. A geometric sequence is a sequence of numbers in which each term after the first is obtained by multiplying the previous term by a fixed constant called the common ratio.
In the given sequence
103.8 - 111 = -7.2
96.6 - 103.8 = -7.2
Similarly we can observe that each term is obtained by subtracting 7.2 from the previous term. Therefore, the common difference is -7.2, and the sequence is an arithmetic sequence.
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If f(x)=2x – 1, and g(x)=x2 – 3, find (f (g(x)).
Answer:
(f(g(x))=2x+x2-4
hope this helps
Answer:
The answer is in picture.
A prism has a height of 5 inches and a volume of 80 cubic inches.
Select all figures that could be the base for this prism.
O a square with side length 4 inches
O a 2 inch by 8 inch rectangle
O a circle with radius 2 inches
O a right triangle with legs 4 inches long
O a heart-shaped base with an area of 16 square inches
Answer: a square with side length 4 inches
a 2 inch by 8 inch rectangle
a heart-shaped base with an area of 16 square inches
Step-by-step explanation: The given height is 5. Any base with an area of 16 square inches will be an acceptable base.
For example, if the circular base had a radius of about 2.257 inches, its area would be 16 square inches
(2.257)² ≈ 5.093
5.093 × 3.1416 ≈ 16
16 × 5 = 80
The base for this prism should be like
a square with side length 4 inches.
a 2 inch by 8 inch rectangle.
a heart-shaped base with an area of 16 square inches.
Could be the base for the prism:Since
The given height is 5.
Any base with an area of 16 square inches should be considered as an acceptable base.
Like if the circular base had a radius of about 2.257 inches, its area would be 16 square inches
So, it be like
(2.257)² ≈ 5.093
Now
5.093 ( 3.1416) ≈ 16
16 ( 5) = 80
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Use the Laws of Logarithms to combine the expression. log4(8) + 2 log4(5)
We know that the expression can be combined into log4(200).
To combine the expression log4(8) + 2 log4(5), we can use the Laws of Logarithms. Specifically, we can use the product rule, which states that log*a(x) + log*a(y) = log*a(x y). Applying this rule, we get:
log4(8) + 2 log4(5) = log4(8) + log4(5^2)
= log4(8 * 5^2)
= log4(200)
Therefore, the expression can be combined into log4(200).
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Find the missing amount)
Original:$12
New:$42
%increase:________
(not multiple choice)
Answer: 350% increase
divide 42 by 12
42 / 12 = 3.5
change 3.5 into a percentage
3.5 = 350%