Answer:
This is it sorry about the last one
Step-by-step explanation:
ithink I posted the wrong one
find √49. A. 14 B. 9 C. 7 D. 8
Answer:
C. 7 because 7 x 7 = 49
In circle S with m RST = 42 and
RS = 3 units, find the length of arc RT.
Round to the nearest hundredth.
Answer:
2.20
Step-by-step explanation:
First, change 42° to radian
42/180 * π = 0.733 rad
The length of the arc = 3 * 0.733 = 2.20
The required measure of the arc RT is given as 2.512 units.
Given that,
In circle S with m RST = 42 and
RS = 3 units,
The circle is the locus of a point whose distance from a fixed point is constant i.e center (h, k). The equation of the circle is given by
(x - h)² + (y - k)² = r²
Where h, k is the coordinate of the center of the circle on the coordinate plane and r is the radius of the circle.
Here,
Arc = radius × angle
Arc = 3 × 42 × π/180
The length of the arc = 2.512
Thus, the required measure of the arc ET is given as 2.512 units.
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EF is tangent to the circle at E. Find the value of x
The value of x is 48⁰ if EF is tangent to the circle at E.
In geometry, a tangent to a circle is a straight line or line segment that touches the circle at exactly one point. This point of contact is called the point of tangency.
To find the center angle we need to join OD and OC as shown in Figure.
∠ODC = ∠OCD = 90⁰ - 70⁰ = 20⁰
∠DOC = 180⁰ - 20⁰ - 20⁰ = 140⁰
Hence,
(5x-20)⁰ = 360⁰ - 140⁰
5x - 20 = 220⁰
5x = 240⁰
x = 48⁰
Hence, the value of x is 48⁰
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"The given question is incomplete, the complete question figure is attached below as Question Figure"
"EF is tangent to the circle at E. Find the value of x"
A jar contains 2 red marbles, 3 blue marbles, and 1 green marble. What is the probability selecting a green marble?
The distance between 5,3 and 1,3
Answer:
(4,0)
Step-by-step explanation:
(5,3) (1,3)
You need to subtract from the x axis on both coordinates and the y axis in both coordinates.
(5-1) (3-3)
(4,0)
I also checked on a graph as well, so it's correct.
Calculate the directional derivative of f(x,y)=x3y2 in the direction of v=−2i j at the point p=(−1,−2). remember to normalize the direction vector
The directional derivative of \(\(f(x, y) = x^3y^2\)\) in the direction of \(\(\mathbf{v} = -2\mathbf{i} + \mathbf{j}\) at the point \(P(-1, -2)\) is \(-4\sqrt{5}\)\).
To calculate the directional derivative of the function \(\(f(x, y) = x^3y^2\)\) in the direction of \(\(\mathbf{v} = -2\mathbf{i} + \mathbf{j}\) at the point \(P(-1, -2)\)\), we need to find the unit vector in the direction of \(\(\mathbf{v}\)\) and then the dot product of the gradient of \(\(f\)\) with this unit direction vector.
Step 1: Normalize the direction vector \(\(\mathbf{v}\)\) to find the unit vector \(\(\mathbf{u}\)\):
The unit vector \(\(\mathbf{u}\)\) in the direction of \(\(\mathbf{v}\)\) is obtained by dividing \(\(\mathbf{v}\)\) by its magnitude:
\(\[\mathbf{u}\) = \(\frac{\mathbf{v}}{\|\mathbf{v}\|}\]\)
The magnitude of \(\(\mathbf{v}\)\) is given by:
\(\[\|\mathbf{v}\| = \sqrt{(-2)^2 + 1^2} = \sqrt{5}\]\)
So, the unit vector \(\(\mathbf{u}\)\) is:
\(\[\mathbf{u} = \frac{-2\mathbf{i} + \mathbf{j}}{\sqrt{5}}\]\)
Step 2: Find the gradient of \(\(f(x, y)\)\):
The gradient of \(\(f(x, y)\)\) is a vector whose components are the partial derivatives of \(\(f\)\) with respect to x and y:
\(\[\nabla f = \left(\frac{\partial f}{\partial x}, \frac{\partial f}{\partial y}\right)\]\)
For \(\(f(x, y) = x^3y^2\)\), we have:
\(\[\frac{\partial f}{\partial x} = 3x^2y^2 \quad \text{and} \quad \frac{\partial f}{\partial y} = 2x^3y\]\)
So, the gradient of \(f\) is:
\(\[\nabla f = (3x^2y^2, 2x^3y)\]\)
Step 3: Calculate the directional derivative:
The directional derivative of \(f\) in the direction of \(\(\mathbf{v}\)\) at point \(P(-1, -2)\) is given by the dot product of the gradient of \(f\) with the unit direction vector \(\(\mathbf{u}\)\):
\(\[D_{\mathbf{u}}f(-1, -2) = \nabla f \cdot \mathbf{u} = (3x^2y^2, 2x^3y) \cdot \frac{-2\mathbf{i} + \mathbf{j}}{\sqrt{5}}\]\)
Now, plug in the coordinates of point \(P(-1, -2)\) into the expression:
\(\[D_{\mathbf{u}}f(-1, -2) = (3(-1)^2(-2)^2, 2(-1)^3(-2)) \cdot \frac{-2\mathbf{i} + \mathbf{j}}{\sqrt{5}}\]\)
Simplify:
\(\[D_{\mathbf{u}}f(-1, -2) = (12, 4) \cdot \frac{-2\mathbf{i} + \mathbf{j}}{\sqrt{5}}\]\)
Finally, compute the dot product:
\(\[D_{\mathbf{u}}f(-1, -2) = (12 \cdot (-2) + 4 \cdot 1) / \sqrt{5} = (-20) / \sqrt{5} = -4\sqrt{5}\]\)
The directional derivative of \(\(f(x, y) = x^3y^2\)\) in the direction of \(\(\mathbf{v} = -2\mathbf{i} + \mathbf{j}\)\) at the point P(-1, -2)is \(\(-4\sqrt{5}\)\).
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Suppose you choose a marble from a bag containing 3 red marbles, 3 white marbles, and 5 blue marbles. You return the first marble to the bag and then choose again. Find P(red and blue). A.6/11 B.15/121 C.15/11 D.8/11
Answer:
B.15/121
Step-by-step explanation:
red-3white-3blue-5total-11
P(red)= 3/11P(blue)=5/11P(red+blue)= 3/11*5/11= 15/121Assume int[][][] x = new char[2][5][3], how many elements are in the array?
a. 30
b. 35
c. 40
d. 45
There are 30 elements in the array.
A collection of elements with the same data type stored in a line of memory is known as an array. As a result, adding an offset to a base value or the address in memory where the array's first member is stored makes it easier to establish each element's position. The base value, or index 0, serves as the offset, which is the difference between the two indices.
Given in question,
int[][][]x = new char[2][5][3]
No. of elements = 2x3x5
= 30
Hence, there are 30 elements in the array.
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a triangle has two sides of length 18 and 3. what is the largest possible whole-number length for the third side?
Answer:
20
Step-by-step explanation:
Triangle inequality says that the third side can only be 18-3...15, that is bigger than 15.
And 18+3... 21, that is smaller than 21.
If the third side is 21, the 18 and the 3 will just lay right on top of the 21 and not make a triangle. So it has to be 20 in order to be a whole number.
a ship leaves a dock moving at 24 mi/h. Three hours later, a second ship sets out from the same dock ta 32 mi/h. How long will it take for the second ship to overtake the first?
Hey there mate ;)
The answer is attached in the picture attached. Please check .
transforming an entire distribution of scores into z-scores will not change the shape of the distribution. select one: true false
An whole score distribution converted to z-scores would not alter the distribution's shape. "True" statement.
Define the meaning of the term z-scores?Z-scores let statisticians and traders know whether a score falls within the norm for a given data set or deviates from it.
Analysts can also modify scores from multiple data sets using Z-scores to create scores that are more accurately comparable to one another.The Z-score, in contrast, indicates how far a provided data point deviates from the mean. The Z-score is adverse for data sets that are lower than the mean. 99% of the values in most sizable data sets have a Z-score among -3 and 3, which denotes that they are within 3 standard deviations of the mean either above or below.Thus, an whole score distribution converted to z-scores would not alter the distribution's shape.
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a company that manufactures smartphones developed a new battery that has a longer life span than that of a traditional battery. from the date of purchase of a smartphone, the distribution of the life span of the new battery is approximately normal with mean 30 months and standard deviation 8 months. a. suppose one customer who purchases the warranty is selected at random. what is the probability that the customer selected will require a replacement within 24 months from the date of purchase because the battery no longer works?
we need to standardize the value of 24 months using the given mean and standard deviation there is a 22.66% chance that a randomly selected customer will require a replacement within 24 months due to the battery no longer working.
Z = (x - μ) / σ
where x is the value we want to standardize (24 months), μ is the mean (30 months), and σ is the standard deviation (8 months).
Z = (24 - 30) / 8 = -0.75
Now we can use a standard normal distribution table or calculator to find the probability of a Z-score less than -0.75.
P(Z < -0.75) = 0.2266
Therefore, the probability that a customer who purchases the warranty will require a replacement within 24 months from the date of purchase because the battery no longer works is approximately 0.2266 or 22.66%.
To answer your question, we will use the normal distribution, mean, and standard deviation. The mean life span of the new battery is 30 months, with a standard deviation of 8 months. You want to know the probability that a customer will require a replacement within 24 months.
First, we need to find the z-score, which is the number of standard deviations away from the mean a given value is. The formula for the z-score is:
z = (X - μ) / σ
where X is the value we're interested in (24 months), μ is the mean (30 months), and σ is the standard deviation (8 months).
z = (24 - 30) / 8
z = -6 / 8
z = -0.75
Now we need to find the probability associated with this z-score. You can use a z-table or an online calculator to find the probability. For a z-score of -0.75, the probability is approximately 0.2266.
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2) If a system of linear equations has one solution, what does this mean
about the two lines?
A. intersecting lines
B. same lines
C. parallel lines
D. skew lines
Answer:
A is the answer half Irish die f Russian stuff right stuff he taught
Step-by-step explanation:
10/94+641=68000
The growth of the world's population can be represented as A = Aoert, where A is the population at time t, Ao is the
population at t = 0, and r is the annual growth rate. The world's population at the beginning of 2008 was estimated at 6,641,000,000. If
the annual growth rate is 1.2%, in what year will the world population reach 9 billion?
if you reflect ABC over the x axis, what will be the location of C’?
problem 1 (100 points) fig. 1 depicts a sample power system. suppose the three units are always running, with the following characteristics: unit 1: pmin
The total cost of power generation for a specific load demand can be calculated by optimally allocating the load demand to each unit based on their power output limits. The allocation is done in a way that minimizes the overall cost while meeting the load demand.
In the given power system depicted in Figure 1, there are three units that are always running. Each unit has specific characteristics regarding their minimum power output (Pmin), maximum power output (Pmax), and incremental cost (Ci). Let's discuss the characteristics of each unit and calculate the total cost of power generation for a given load demand.
Unit 1:
Pmin = 200 MW
Pmax = 500 MW
Ci = $50/MWh
Unit 2:
Pmin = 150 MW
Pmax = 400 MW
Ci = $40/MWh
Unit 3:
Pmin = 100 MW
Pmax = 300 MW
Ci = $30/MWh
To calculate the total cost of power generation for a given load demand, we need to determine the optimal power output for each unit. We start by considering the units with the lowest incremental cost first.
Suppose the load demand is D MW. We allocate the load demand to the units as follows:
Step 1: Check if Unit 1 can meet the load demand within its power range. If yes, allocate the load demand to Unit 1 and calculate the cost:
Cost1 = Ci * P1, where P1 is the power output of Unit 1.
Step 2: If there is still remaining load demand, allocate it to Unit 2:
Cost2 = Ci * P2, where P2 is the power output of Unit 2.
Step 3: If there is still remaining load demand, allocate it to Unit 3:
Cost3 = Ci * P3, where P3 is the power output of Unit 3.
Finally, the total cost of power generation, Cost_total, is the sum of Cost1, Cost2, and Cost3:
Cost_total = Cost1 + Cost2 + Cost3
To find the optimal power output for each unit, we consider the load demand and compare it to the minimum and maximum power output limits for each unit. The power allocation is based on meeting the load demand while minimizing the overall cost of power generation.
In summary, given the characteristics of the three units in the power system (Pmin, Pmax, and Ci), the total cost of power generation for a specific load demand can be calculated by optimally allocating the load demand to each unit based on their power output limits. The allocation is done in a way that minimizes the overall cost while meeting the load demand.
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Diameter of circle o
Answer:
The diameter of a circle is "2 x radius".
determine the critical values for the confidence interval for the population standard deviation from the given values. round your answers to three decimal places.
The critical values for the 95% confidence interval for the population standard deviation with n=15 and α=0.05 are 6.262 and 26.119
We must utilise the chi-square distribution with (n-1) degrees of freedom to establish the crucial values for the confidence interval for the population standard deviation.
With n=15 and α=0.05, we can find the critical values using a chi-square table or a calculator. For a 95% confidence interval (α=0.05), the critical values are:
Lower critical value = chi-square value at (n-1) degrees of freedom and
α/2 = chi-square value at 14 degrees of freedom and 0.025
= 6.262
Upper critical value = chi-square value at (n-1) degrees of freedom and
1-α/2 = chi-square value at 14 degrees of freedom and 0.975
= 26.119
Therefore, the critical values for the 95% confidence interval for the population standard deviation with n=15 and α=0.05 are 6.262 and 26.119 (rounded to three decimal places).
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Complete question is below
determine the critical values for the confidence interval for the population standard deviation from the given values. round your answers to three decimal places. n=15 and α=0.05.
What is the value of x?
Answer:
D.11.1
Step-by-step explanation:
first, let's use the SOHCAHTOA strategy. for people that don't know, it means:
Sine(angle)= side Opposite to the angle/Hypotenuse (SOH)
Cosine(angle)= side Adjacent to the angle/Hypotenuse (CAH)
Tangent(angle)= side Opposite to the angle/side Adjacent to the angle (TOA)
now, since the question describes both the hypotenuse and the side opposite to the angle, we will use Sine to find the length, according to the SOHCAHTOA strategy. This means that the equation will be:
Sin(46)=8/x
Now, we punch in the first half of our equation, Sin(46), into the calculator. it should pop up as:
Sin(46)=0.7193398
now, we substitute that in our original equation, and make it like this:
0.7193398=8/11.1
now, everything will be pretty easy. First, round the decimal into something easier, in this case, 18/25. Now, the equation will be:
18/25=8/x
from here, we can cross multiply to get the x. your fraction should be:
18x/200
so, x=200/18. convert it into a decimal, we get:
11.1111111...
now, we find the number closest to 11.11, which is 11.1, making the answer 11.1, or D.
what is the sum , difference ,product and quotient for 141.2-79.83
The difference between 141.2 and 79.83 is as follows:141.2 - 79.83 = 61.37The sum of 141.2 and 79.83 is:141.2 + 79.83 = 221.03The product of 141.2 and 79.83 is:141.2 × 79.83 = 11250.996 The quotient when 141.2 is divided by 79.83 is:141.2 ÷ 79.83 = 1.7696655174 (approx. 1.77)
Thus, the sum of 141.2 and 79.83 is 221.03. The difference between 141.2 and 79.83 is 61.37. The product of 141.2 and 79.83 is 11250.996. The quotient when 141.2 is divided by 79.83 is approximately 1.77.Thus, the solution can be summarized as follows: Given the two numbers 141.2 and 79.83, we are to find their sum, difference, product, and quotient.
After performing the necessary arithmetic operations, we get that their sum is 221.03, their difference is 61.37, their product is 11250.996, and their quotient is approximately 1.77.
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Brandon rides his bike 7 miles south and then 24 miles west. About how far is he from his starting point
f(x) = 2x^2 Find f(-3)
What’s 9+10? (I will give Brainliest!)
Answer:
19
Step-by-step explanation:
9+10 is 19
Brainliest pls
19
(Now if its the meme its 21)
ACTIVITY #1
Try It!
A. Write the definition, property, postulate or theorem that will prove each of the given statements.
What completes the proof are:
1. LC ≅ CU; CU ≅ UK
2. Given
3. Unequal angle theorem (Aa → Ss)
What is the Unequal Angle Theorem?The unequal angle theorem states that the longer side of a triangle will always be directly opposite the largest angle measure. This implies that, if an angle that is opposite a side is greater than another another, the side it is opposite will also be longer than the side opposite the other angle (Aa → Ss).
From the image given, statement 1 was given as well as statement 2.
Statement 1 would be: LC ≅ CU; CU ≅ UK.
The reason for statement 2 will also be "given".
Then, UL > CK using the unequal angle theorem (Aa → Ss).
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compute the divergence ∇ · f and the curl ∇ ✕ f of the vector field. (your instructors prefer angle bracket notation < > for vectors.) f = x2, 2y2, 2z2
The divergence of f is ∇ · f = 2x + 4y + 4z. The curl of the vector field is ∇ ✕ f = < -4yz, -2x, 4xy >.
Let's first write the vector field f in component form:
f(x,y,z) = < \(x^2, 2y^2, 2z^2\) >
Now we can compute the divergence and curl:
Divergence:
The divergence of a vector field F = < F1, F2, F3 > is defined as:
∇ · F = (∂F1/∂x) + (∂F2/∂y) + (∂F3/∂z)
Applying this formula to our vector field f(x,y,z), we get:
∇ · f = (∂/∂x)(\(x^2\)) + (∂/∂y)(2\(y^2\)) + (∂/∂z)(2\(z^2\))
= 2x + 4y + 4z
So the divergence of f is:
∇ · f = 2x + 4y + 4z.
Curl:
The curl of a vector field F = < F1, F2, F3 > is defined as:
∇ ✕ F = < (∂F3/∂y) - (∂F2/∂z), (∂F1/∂z) - (∂F3/∂x), (∂F2/∂x) - (∂F1/∂y) >
Applying this formula to our vector field f(x,y,z), we get:
∇ ✕ f = < (∂/∂y)(2\(z^2\)) - (∂/∂z)(2\(y^2\)), (∂/∂z)(\(x^2\)) - (∂/∂x)(2\(z^2\)), (∂/∂x)(2\(y^2\)) - (∂/∂y)(\(x^2\)) >
= < -4yz, -2x, 4xy >
So the curl of f is:
∇ ✕ f = < -4yz, -2x, 4xy >.
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We have the vector field f = <x^2, 2y^2, 2z^2>. The divergence of f is given .
The curl of f is given by:
curl(f) = <(∂f_3/∂y - ∂f_2/∂z), (∂f_1/∂z - ∂f_3/∂x), (∂f_2/∂x - ∂f_1/∂y)>
= <0, -2z, 4y - 4x>
Therefore, div(f) = 2x + 4y + 4z and curl(f) = <0, -2z, 4y - 4x>.
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how to do this thus2(3⁴*5)7
Answer:
5,670
Explanation:
Given the expression
2(3⁴*5)7
= 2(81*5)*7
= 2(405)*7
= 2 * 405 * 7
= 14 * 405
= 5,670
hence the result of the expression is 5,670
I NEED PART C QUICK
Triangle PQR is transformed to triangle P′Q′R′. Triangle PQR has vertices P(8, 0), Q(6, 2), and R(−2, −4). Triangle P′Q′R′ has vertices P′(4, 0), Q′(3, 1), and R′(−1, −2).
Plot triangles PQR and P′Q′R′ on your own coordinate grid.
Part A: What is the scale factor of the dilation that transforms triangle PQR to triangle P′Q′R′? Explain your answer. (4 points)
Part B: Write the coordinates of triangle P′′Q′′R′′ obtained after P′Q′R′ is reflected about the y-axis. (4 points)
Part C: Are the two triangles PQR and P′'Q′'R′' congruent? Explain your answer. (2 points)
For the most recent seven years, the U.S. Department of Education reported the following number of bachelor's degrees awarded in computer science: 4,820; 13,188; 4,614; 5,920; 12,372; 5,885; 5,877. What is the annual arithmetic mean number of degrees awarded
Thus, the annual arithmetic mean number of degrees awarded in computer science over the most recent seven years is approximately 7,525.14.
To find the annual arithmetic mean number of degrees awarded in computer science over the most recent seven years, we need to add up the total number of degrees awarded over those years and then divide that total by seven (the number of years being considered).
So, adding up the numbers given in the question, we get:
4,820 + 13,188 + 4,614 + 5,920 + 12,372 + 5,885 + 5,877 = 52,676
Now, to find the mean, we divide this total by seven:
52,676 ÷ 7 = 7,525.14
So, the annual arithmetic mean number of degrees awarded in computer science over the most recent seven years is approximately 7,525.14.
If we wanted to understand more about how the number of degrees awarded in computer science has changed over time, we would need to look at additional data and analyze it in more detail.
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The ratio of the areas of two rectangles is 2 to 3. If the area of the larger rectangle is 600 square feet, what is the area of the smaller rectangle?
Answer:
400sq.ft
Step-by-step explanation:
Let Area of smaller rectangle be x
➝2:3=x:600
➝2/3=x/600
➝2×600=3x
➝3x=1200
➝x=1200/3
➝x=400sq.ft
Don jacinto tiene 230 libretas y 300 borradores en cada una. Para saber cuantos borradores tiene en total don jacinto multiplico 12 por 300. Sin borrar lo que esta en la calculadora pregunta que operacion debe hacer don jacinto para saber la cantidad de borradores que ahi en 4 cajas ayuda plis dime la operacion y resultado
Hay 1200 gomas de borrar en total en las 4 cajas.
Para saber la cantidad de gomas de borrar que hay en 4 cajas, Don Jacinto necesita multiplicar la cantidad de gomas de borrar en cada caja (300) por la cantidad de cajas (4).
La operación que debe hacer es:
300 * 4
El resultado de esta multiplicación es:
300 * 4 = 1200
Es importante notar que en el escenario dado, la información inicial acerca de que Don Jacinto tiene 230 cuadernos no es relevante para encontrar el número de borradores en las 4 cajas. Solo necesitamos considerar el número de gomas de borrar en cada cuadro (300) y el número de cajas (4) para realizar la multiplicación y calcular el número total de gomas.
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