Answer:
0
Step-by-step explanation:
10(x-2)=-20
10x-20=-20
10x=0
x=0
A reporter announces that there is an 80% chance of a thunderstorm tomorrow, and if the thunderstorm materializes, there is a 14% chance that it will produce a tornado.What is the probability that there will be a tornado tomorrow? What is the probability that there is a storm, but does not produce a tornado?
Answer & Step-by-step explanation:
We will only get a tornado if there is already a thunderstorm materializing
0.80 * 0.14 = 0.112
Probability of a tornado = 11.2%
There is a 100 - 14 = 86% chance of a tornado not being produced.
0.80 * 0.86 = 0.688
Probability of a storm and no tornado = 68.8%
if f(x)=5x^3 and g(x)=x+1,find(f*g)(x)
Answer:
f * g)(x)=(5x^3)*(x+1)=5x^4 +5x^3
Step-by-step explanation:
What is 1 3/8 equals to
Answer:
1.375 in decimal form
Step-by-step explanation:
17. There are 1,024 players in a tennis tournament. In each round, half the players are eliminated.
Which function can be used to find the number of players remaining in the tournament at the end of
x rounds?
A f(x) = 1,024(1.50)
B f(x) = 1,024(0.50)*
C f(x) = 1,024(1.05)
D f(x) = 1,024(0.50)x
Answer?
Answer:
1024(0.50)^x
Step-by-step explanation:
Initial value = 1024
Players eliminated per round =half = 50% of players in the round
Using the relation :
A(x) = P(1 - r)^x (decreasing hence, negative)
A(x) = 1024(1 - 50%) ^x
A(x) = 1024(1 - 0.50)^x
A(x) = 1024(0.50)^x
this question
find the value of x y and z
Answer:
x = 6
y = 24
z = there is no z?
Step-by-step explanation:
All angles of a polygon add up to 360 degrees
The 2 parellel lines on top and bottom mean that there are 2 right angles on the left side
3y + 18 = 90
3y = 72
y = 24
15x + 30 + 10x = 180
25x = 150
x = 6
WILL MARK BRAINLIEST!! Solve the system of equations -
System 1: 2x - 3y = -1
System 2: y = x - 1
Answer:
x=4
y=3
Step-by-step explanation:
Do you need an explanation?
8y + 12 = 4y - 4
a. y = -4
b. y = -2
c. y = -1
d. y = -5
Answer:
a. y = -4
Step-by-step explanation:
i hope this helps :)
Step-by-step explanation:
4y=-16
So the answer is y= - 4
Which ordered pairs make both inequalities true y <- X 1 Y X?
The ordered pair (-2, 2) satisfies both inequalities y < -x + 1 and y > x.
The correct option is A: (-2, 2).
To determine which ordered pairs satisfy both inequalities y < -x + 1 and y > x, we need to check each pair's coordinates in both inequalities.
Let's test each ordered pair:
A: (-2, 2)
For y < -x + 1: 2 < -(-2) + 1 → 2 < 3 (True)
For y > x: 2 > -2 → 2 > -2 (True)
B: (1, 1)
For y < -x + 1: 1 < -(1) + 1 → 1 < 0 (False)
For y > x: 1 > 1 → 1 > 1 (False)
C: (0, 0)
For y < -x + 1: 0 < -(0) + 1 → 0 < 1 (True)
For y > x: 0 > 0 → 0 > 0 (False)
D: (-1, -1)
For y < -x + 1: -1 < -(-1) + 1 → -1 < 2 (True)
For y > x: -1 > -1 → -1 > -1 (False)
From the above calculations, we can see that only the ordered pair (-2, 2) satisfies both inequalities y < -x + 1 and y > x. Therefore, the correct answer is option A: (-2, 2).
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The complete question:
Which ordered pairs make both inequalities y < -x + 1 and y > x true?
A: (2, 2)
B: (1, 1)
C: (0,0)
D: (-1, -1)
Write an equation of the perpendicular bisector of the segment with endpoints (4,0) and (2,-4) Write your equation in slope intercept form
Answer:
nsnsjsjsnsnznnznzznznz
I just need these two done, please!
3. Both triangles are congruent by ASA congruence theorem.
4. There is no enough information to prove that the triangles are congruent by neither ASA nor AAS.
What is the ASA and AAS Congruence Theorem?If two triangles have two pairs of corresponding congruent angles and a pair of corresponding included congruent sides, then both triangles are congruent by ASA congruence theorem.
If two triangles have two pairs of corresponding congruent angles and a pair of corresponding non-included congruent sides, then both triangles are congruent by AAS congruence theorem.
3. Both triangles are congruent by ASA congruence theorem.
4. There is no enough information to prove that the triangles are congruent by neither ASA nor AAS.
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What vertical translation is applied to y = x2 if the transformed graph passes through the point (5, 18)?
Step-by-step explanation:
well,
y = x²
would give us
y = 5² = 25
(5, 25)
but we have
(5, 18) so, what is the difference ?
we see that y is reduced by 7 units.
so,
y = x² - 7
the whole curve is moved down by 7 units.
Six friends go to a movie theater. In how many different ways can they sit together in a row of six empty seats?
A. 7,200
B. 720
C. 72
D. 46,656
Answer:
Step-by-step explanation:
There are 6 people and 6 seats. This means that any one of the 6 can take any one of the 6 seats. When person 1 sits in seat 1, there are 5 people left for the remaining 5 seats. When person 1 sits in seat 2, there are 4 people left for the remaining 4 seats. The catch here is that when there are, say, 5 seats left, those 5 people can "mix it up" so many different ways; but there will always be 1 less person when one sits down. This is a factorial problem:
6*5*4*3*2*1 = 720, choice B
The surface area of a regular square pyramid is 48cm². If the slant height is equal to the base-edge length, find the area of the base.
please help and hurry i really need help and i also need to know where to drag the bar to it will only let me move it past 10 not before 10
The answer of the given question based on statistical measures the answer is, Min: 2,Max: 15,Med: 8,Q1: 4,Q3: 13.
What is Statistics?Statistics is branch of mathematics that deals with collection, analysis, interpretation, presentation, and organization of the data. It provides way to summarize and describe numerical information in meaningful way, and it enables us to make the informed decisions based on that information. Statistics is used in many things , including business, finance, health, engineering, social sciences, and more.
To create the box and whisker plot:
Draw a number line that includes all the data points.
Mark the minimum and maximum values with a horizontal line.
Locate the median and draw a vertical line through it.
Draw a box from the first quartile (Q1) to the third quartile (Q3).
Draw whiskers from the box to the minimum and maximum values.
Here is the completed box and whisker plot:
O
1
2 3 4 5 6 7 8
|--------|
9
10 11 12 13 14 15 16 17 18
|--------------|
X
The box represents the middle 50% of the data, with the bottom of the box at Q1 and the top of the box at Q3. The median is marked by a vertical line inside the box. The whiskers extend from the box to the minimum and maximum values, with any data points outside the whiskers shown as individual points (outliers).
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Nina and Ryan each ran at a constant speed for a 100-meter race. Each runner’s distance for the same section of the race is displayed on the left. Who had a head start, and how big was the head start?
had a head start of
meters.A coordinate plane showing Nina's run. The x-axis shows Time in seconds and the y-axis shows Distance in meters. Four points plotted and labeled. The points are (4, 32), (6, 48), (8, 64), (10, 80). A two column table with four rows. The first column, Time in seconds, has the entries, 4, 6, 8. The second column, Distance in meters, has the entries, 35, 47.5, 60.
"Nina and Ryan each ran at a constant speed for a 100-meter race. Each runner’s distance for the same section of the race is displayed..." Ryan had a head start of 10 meters.
This is further explained below.
Who had a head start, and how big was the head start?Generally, To help low-income children and their families, the United States government funds a program called Head Start, which offers a variety of services including early childhood education, health care, nutrition education, and parent engagement.
In conclusion, who had a head start, and how big the head start was is; Ryan had a head start of 10 meters.
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-6 x -4 - -10 - -9......
Answer:
43
Step-by-step explanation
-6 x -4 - -10 - -9
First - simplify the expression
-6 x -4 + 10 + 9
remember that 2 negatives is equal to a positive
second - multiply -6 and -4
24 + 10 + 9
negative times a negative is a positive and 6 x 4 is 24
third - add
24 + 10 = 34
34 + 9 = 43
If you don't understand anything or are still confused, lmk
Multiply and divide (left to right) -6(-4): 24
= 24 - (-10) - (-9)
Add and subtract (left to right) 24 - (-10) - (-9): 43
= 43
The answer is 43
If 4 daps are equivalent to 3 dops, and 2 dops are equivalent to 7 dips, how many daps are equivalent to 42 dips?
110.25 daps are equivalent to 42 dips. We can use the given values of equivalent measures to get to the required measure: 4 daps = 3 dops, which can be written as 1 dap = (3/4) dops, 2 dops = 7 dips, which can be written as 1 dop = (7/2) dips.
Given: 4 daps = 3 dops and 2 dops = 7 dips
We need to find: how many daps are equivalent to 42 dips?
Solution: We can use the given values of equivalent measures to get to the required measure:
4 daps = 3 dops, which can be written as 1 dap = (3/4) dops
2 dops = 7 dips, which can be written as 1 dop = (7/2) dips
Using the above relations we can find the relation between daps and dips: 1 dap = (3/4) dops = (3/4) * (7/2) dips = (21/8) dips
Or we can write, 8 daps = 21 dips
To find how many daps are equivalent to 42 dips, we can proceed as follows: 8 daps = 21 dips
1 dap = 21/8 dips
Therefore, to get 42 dips, we need: (21/8) * 42 dips = 110.25 daps (Answer)
Thus, 110.25 daps are equivalent to 42 dips. Given that 4 daps = 3 dops and 2 dops = 7 dips, we need to find how many daps are equivalent to 42 dips. This problem requires us to use equivalent measures of the given units to find the relation between the required units. As per the given values of equivalent measures, 4 daps are equivalent to 3 dops and 2 dops are equivalent to 7 dips. Using these values, we can find the relation between daps and dips as follows:
1 dap = (3/4) dops = (3/4) * (7/2) dips = (21/8) dips Or, 8 daps = 21 dips
Thus, we have found the relation between daps and dips. Now we can use this relation to find how many daps are equivalent to 42 dips. To find how many daps are equivalent to 42 dips, we can use the relation derived above as follows: 1 dap = 21/8 dips
Therefore, to get 42 dips, we need:(21/8) * 42 dips = 110.25 daps
Hence, 110.25 daps are equivalent to 42 dips.
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Prove algebraically that the recurring decimal 0.472 can be written as
17
36
Given:
The recurring decimal is \(0.47\overline{2}\).
To prove:
Algebraically that the recurring decimal \(0.47\overline{2}\) can be written as \(\dfrac{17}{36}\).
Proof:
Let,
\(x=0.47\overline{2}\)
\(x=0.472222...\)
Multiply both sides by 100.
\(100x=47.2222...\) ...(i)
Multiply both sides by 10.
\(1000x=472.2222...\) ...(ii)
Subtract (i) from (ii).
\(1000x-100x=472.2222...-47.2222...\)
\(900x=425\)
Divide both sides by 900.
\(x=\dfrac{425}{900}\)
\(x=\dfrac{17}{36}\)
So, \(0.47\overline{2}=\dfrac{17}{36}\).
Hence proved.
find HCF of this equation okie.
Step-by-step explanation:
First expression :
3 × ( x - y ) × ( x - y )
second expression
5 ( x^2 - 2xy + y^2 )
5 ( x - y ) ^2
5 ( x - y ) ( x - y )
Now
CF = ( x - y ) ( x - y )
HCF = ( x - y ) ^2
don't forget to say dhanyawad !!!
Answer:
then here your ams my br.
The Wilson family invited 100 relatives to their Christmas party. 90 guests had Dutch heritage, 80 had German heritage and 75 had English heritage. What is the minimum number of people who claimed ancestry from all three heritages? What is the formula i use to find out the answer of the question? and how do i find out the answer?
Answer:
Out off 100
Step-by-step explanation:
10 don't have dutch heritage.
20 don't have German heritage.
25 don't have English heritage.
100 - 55
At minimum, 45 people have all three heritages.
Suppose a random sample of 35 cars are observed and their waiting time is recorded. What is the probability that the sample mean of the waiting times is less than 1.5 minutes
The probability that the sample mean of the waiting times is less than 1.5 minutes is approximately 0.0057, or 0.57%.
To calculate the probability that the sample mean of the waiting times is less than 1.5 minutes, we can use the Central Limit Theorem (CLT) since we have a large enough sample size (n = 35) and the waiting times are uniformly distributed.
According to the CLT, the sample mean of a sufficiently large sample size will follow an approximately normal distribution, regardless of the underlying distribution. In this case, the population mean is E(X) = 2 (the midpoint of the uniform distribution between 0 and 4), and the population standard deviation is σ(X) = √(4²/12) = √(16/12) = √(4/3) ≈ 1.155.
The standard deviation of the sample mean (also known as the standard error) is given by σ(X)/√(n), which in this case is approximately 1.155/sqrt(35) ≈ 0.196.
To calculate the probability that the sample mean is less than 1.5 minutes, we can standardize the value using the z-score formula:
z = (sample mean - population mean) / standard error
z = (1.5 - 2) / 0.196 ≈ -2.551
Next, we can look up the probability corresponding to this z-score in the standard normal distribution table.
From the table, we find that the probability of obtaining a z-score less than -2.551 is approximately 0.0057.
Therefore, the probability that the sample mean of the waiting times is less than 1.5 minutes is approximately 0.0057, or 0.57%.
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What is the slope of a line parallel to the represented by the equatior y=6x + 10
The given equation is
\(y=6x+10\)When the equation is in slope-intercept form, the coefficient of x is the slope. So, the slope of the given equation is 6.
It is important to know that parallel lines have equal slopes.
Hence, the slope of the parallel line is 6.∂²p/∂r² + 1/r ∂p/∂r = ϕμC/k ∂p/∂t
derivation of equations
1-partial derivative diffusivity equation spherical flow
2- partial derivative diffusivity equation hemi- spherical flow
The partial derivative diffusivity equation for spherical flow is ∂²p/∂r² + (1/r) ∂p/∂r = ϕμC/k ∂p/∂t, and for hemispherical flow, it is the same equation.
1. The partial derivative diffusivity equation for spherical flow is derived from the spherical coordinate system and applies to radial flow in a spherical geometry. It can be expressed as ∂²p/∂r² + (1/r) ∂p/∂r = ϕμC/k ∂p/∂t.
2. The partial derivative diffusivity equation for hemispherical flow is derived from the hemispherical coordinate system and applies to radial flow in a hemispherical geometry. It can be expressed as ∂²p/∂r² + (1/r) ∂p/∂r = ϕμC/k ∂p/∂t.
1. For the derivation of the partial derivative diffusivity equation for spherical flow, we consider a spherical coordinate system with the radial direction (r), the azimuthal angle (θ), and the polar angle (φ). By assuming steady-state flow and neglecting the other coordinate directions, we focus on radial flow. Applying the Laplace operator (∇²) in spherical coordinates, we obtain ∇²p = (1/r²) (∂/∂r) (r² ∂p/∂r). Simplifying this expression, we arrive at ∂²p/∂r² + (1/r) ∂p/∂r.
2. Similarly, for the derivation of the partial derivative diffusivity equation for hemispherical flow, we consider a hemispherical coordinate system with the radial direction (r), the azimuthal angle (θ), and the elevation angle (ε). Again, assuming steady-state flow and neglecting the other coordinate directions, we focus on radial flow. Applying the Laplace operator (∇²) in hemispherical coordinates, we obtain ∇²p = (1/r²) (∂/∂r) (r² ∂p/∂r). Simplifying this expression, we arrive at ∂²p/∂r² + (1/r) ∂p/∂r.
In both cases, the term ϕμC/k ∂p/∂t represents the source or sink term, where ϕ is the porosity, μ is the fluid viscosity, C is the compressibility, k is the permeability, and ∂p/∂t is the change in pressure over time.
These equations are commonly used in fluid mechanics and petroleum engineering to describe radial flow behavior in spherical and hemispherical geometries, respectively.
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PLEASE HELP ASAP!!
The equation of the graph is (x-3)(x+1), the y-intercept of y=\(x^{2} -5x+4\) is "4" and the factors of y=\(x^{2} -5x+4\) are (x-4) ad (x-1)
Given that a graph touch x-axis at 2 points i.e. 2 roots are there for given graph.The graph touches the x-axis at (3,0) and (-1,0) it implies x=3 and x=-1 are the solutions the equation,(x-3) and (x+1) are factors of equation
Therefore,the equation of graph is (x-3)(x+1).
Given the equation y=\(x^{2} -5x+4\)
The y-intercept is defined as the graph passing a fixed point at x=0 line
i.e.(0,c) pass through it . c is the y-intercept
c=0-0+4
c=4
Therefore,The y-intercept of the equation y=\(x^{2} -5x+4\) is 4
Factorising y=\(x^{2} -5x+4\)
⇒ y=\(x^{2} -5x+4\)
⇒y=\(x^{2} -x-4x+4\)
⇒y=x(x-1)-4(x-1)
⇒y=(x-4)(x-1)
Therefore, the factors of y=\(x^{2} -5x+4\) are (x-4) and(x-1)
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Please help!!!!
Find the quotient.
10 1/2 divided by 1 1/2
I know the answer but dont know how to properly show it!
which statments are true about a , b, and c? check all that apply.
Answer:
I can’t see the question answers
Step-by-step explanation:
Answer:
?
Step-by-step explanation:
First-class postage is $0.36 for the first ounce (or any fraction thereof) and 50 23 for each additional ounce (or fraction thereof) Let Cix) represent the postage for a letter weighing xoz Use this information to answer the questions a) Find lim Cx). Select the correct choice below and fill in any answer boxes in your choice. OA C(x)=5 OB. The limit does not exist (Type an integer or a decimal)
The answer is: OB. The limit does not exist (Type an integer or a decimal)
The first-class postage is $0.36 for the first ounce (or any fraction thereof) and $0.23 for each additional ounce (or fraction thereof).
To find lim Cx), we need to evaluate the limit as x approaches infinity, since the weight of the letter is unbounded and tends to infinity.
Let us see how the postage cost varies with the weight of the letter.
If the weight of the letter is less than or equal to 1 oz, the cost of postage is $0.36.
If the weight of the letter is between 1 oz and 2 oz, the cost of postage is $0.36 + $0.23 = $0.59.
If the weight of the letter is between 2 oz and 3 oz, the cost of postage is $0.36 + $0.23 + $0.23 = $0.82.
And so on.
The cost of postage can be represented by the function:
C(x) = $0.36 + $0.23 ⌈x - 1⌉,
where ⌈x - 1⌉ represents the smallest integer greater than or equal to x - 1, which is the number of additional ounces (or fraction thereof) beyond the first ounce.
The limit of the function C(x) as x approaches infinity is $0.36 + $0.23 ∞ = ∞.
Therefore, the answer is: OB. The limit does not exist (Type an integer or a decimal).
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Find the unit tangent vector T and the curvature x for the following parameterized curve. r(t) = (3t+2, 4t-5,6t+13) T = ______(Type exact answers, using radicals as needed.) ...
Previous question
The unit tangent vector T for the given parameterized curve is (3/√29, 4/√29, 6/√29), and the curvature κ is 0.
To find the unit tangent vector T, we need to differentiate the given vector-valued function r(t) = (3t + 2, 4t - 5, 6t + 13) with respect to t and then normalize the resulting vector. Differentiating r(t) yields r'(t) = (3, 4, 6). To normalize this vector, we divide each component by its magnitude, which is √(3^2 + 4^2 + 6^2) = √(9 + 16 + 36) = √61. Hence, the unit tangent vector T is (3/√61, 4/√61, 6/√61).
The curvature κ measures how fast the curve is changing its direction. For a vector-valued function r(t), the curvature is given by κ = |r'(t) × r''(t)| / |r'(t)|^3, where × represents the cross product. Taking the derivatives of r(t), we have r''(t) = (0, 0, 0). Therefore, the cross product r'(t) × r''(t) is the zero vector. The magnitude of the zero vector is zero, and dividing it by |r'(t)|^3 = 61^(3/2) would still result in zero. Hence, the curvature κ for the given parameterized curve is 0.
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selecting christmas presents if a person can select 5 presents from 9 presents under a christmas tree, how many different combinations are there?
There are 120 different combinations when selecting Christmas presents.
There are 10 available presents in all under a Christmas tree, and
The number of presents chosen to be placed beneath a Christmas tree is 3.
We must determine how many possible combinations there are.
There are a total of three methods by which the 10 gifts can be chosen \(10C_{3}\).
that is
\(nC_{r}=\frac{n!}{r!(n-r)!}\)
\(10C_{r} =\frac{10!}{3!(10-3)!}\)
=120
In order to choose three gifts from a total of ten, there are 120 possible different combinations.
The term "probability" is most commonly used to refer to the likelihood that a specific event (or group of events) will occur, either as a linear scale from 0 (impossibility) to 1 (certainty) or as a percentage between 0 and 100%. Statistics is the study of events subject to probability.
5rdx
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Which describes the number and type of roots of the equation x^3 + 121x = 0?
a. 2 real roots, 1 imaginary root
b. 1 real root, 2 imaginary roots
c. 3 real roots
d. 3 imaginary roots
Answer:
b; 1 real root and 2 imaginary roots
Step-by-step explanation:
From here, we have
x(x^2 + 121) = 0
x = 0 (1 real root)
or
x^2 + 121 = 0
x^2 = -121
x = √(-121) (2 imaginary roots)
so is would be two complex numbers from above