Answer:
The volume and area ones you just multiply the 2 numbers
if you cant multiply or is too la z. y to do so like me just g o o g l e it
Step-by-step explanation:
The set of all points in space that are the same distance from a center point
Answer:
circle
Definition: A circle is the set of all points in a plane that are equidistant from a given point called the center of the circle.
Look at the picture and tell me
Poppy's sister used approximately 3.14 inches more wire per wall hanging than Poppy.
How to find the amount of wire used ?To find the amount of wire used by both Poppy and her sister, we'll calculate the circumference of their respective wall hangings using the formula:
C = 2πr
Since the diameter is twice the radius, we can find her sister's radius as follows:
Poppy's radius = 6.25 inches
Poppy's diameter = 2 * 6.25 = 12.5 inches
Sister's diameter = Poppy's diameter + 1 = 12.5 + 1 = 13.5 inches
Sister's radius = 13.5 / 2 = 6.75 inches
Now, we'll calculate the circumferences using the given value for π:
Poppy's circumference = 2 x 3.14 x 6.25 ≈ 39.25 inches
Sister's circumference = 2 x 3.14 x 6.75 ≈ 42.39 inches
Difference = Sister's circumference - Poppy's circumference
Difference = 42.39 - 39.25 = 3.14 inches
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Use Newton's method to find the two real solutions of the equation x4-3x3 -3x2 -3x +3-0. (Use a comma to separate answers as needed. Type an integer or decimal rounded to five decimal places as needed.)
To find the two real solutions of the equation x^4 - 3x^3 - 3x^2 - 3x + 3 = 0 using Newton's method, we start by selecting initial guesses for the solutions.
Since we have no prior knowledge about the solutions, we can make reasonable initial guesses based on the given equation.
Let's choose x1 = 0 as the first initial guess and x2 = 1 as the second initial guess. We will use these values to iterate through Newton's method until we converge to the desired solutions.
Using Newton's method, the iterative formula to find the next approximation is given by:
xn+1 = xn - f(xn) / f'(xn)
We repeat this process until we reach a desired level of accuracy. Let's perform the iterations to find the solutions:
For the first initial guess, x1 = 0:
x2 = x1 - f(x1) / f'(x1) = 0 - (0^4 - 3(0)^3 - 3(0)^2 - 3(0) + 3) / (4(0)^3 - 9(0)^2 - 6(0) - 3) = 1.00000
For the second initial guess, x2 = 1:
x3 = x2 - f(x2) / f'(x2) = 1 - (1^4 - 3(1)^3 - 3(1)^2 - 3(1) + 3) / (4(1)^3 - 9(1)^2 - 6(1) - 3) = 1.30612
We continue this iteration process until we reach the desired level of accuracy. After further iterations, we find the two real solutions of the equation:
x1 ≈ 0.82913
x2 ≈ 1.68232
These values represent the two real solutions of the equation x^4 - 3x^3 - 3x^2 - 3x + 3 = 0, obtained using Newton's method with the initial guesses x1 = 0 and x2 = 1.
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(5 bookmarks) flag find the equation of the tangent line to the curve y=2 x cosn at the point (π, -π). the equation of this tangent line can be written in the form y=mx b where
The equation of the tangent line to the curve y = 2x cos(n) at the point (π, -π) is y = -2x + (2π + 2nπ sin(n) - π), where m = -2 - 2nπ sin(n) and b = 2π + 2nπ sin(n) - π.
To find the equation of the tangent line, we need to find the derivative of y with respect to x, and then evaluate it at the given point (π, -π) to find the slope of the tangent line. Then we can use the point-slope form of a line to find the equation of the tangent line in the form y = mx + b.
Taking the derivative of y with respect to x, we get:
dy/dx = 2cos(n) - 2n x sin(n)
Evaluating this derivative at x = π, we get:
dy/dx |x=π = 2cos(n) - 2n π sin(n)
Substituting x = π and y = -π into the original equation, we get:
-π = 2πcos(n)
cos(n) = -1/2
Since we want the equation of the tangent line at the point (π, -π), we can substitute x = π and y = -π into the point-slope form of a line:
y - (-π) = m(x - π)
Simplifying, we get:
y = m(x - π) - π
Substituting cos(n) = -1/2, we have:
dy/dx |x=π = 2cos(n) - 2n π sin(n) = -2 - 2nπ sin(n)
Setting this equal to the slope of the tangent line, we have:
m = -2 - 2nπ sin(n)
Substituting this value of m into the equation of the tangent line, we have:
y = (-2 - 2nπ sin(n))(x - π) - π
Therefore, the equation of the tangent line is:
y = -2x + (2π + 2nπ sin(n) - π)
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Complete question:
Find the equation of the tangent line to the curve y = 2x cos(n) at the point (π, -π). The equation of this tangent line can be written in the form y = mx + b, where m and b are constants. Find the values of m and b.
What is an algebraic expression for this word phrase? 7 more than the product of 5 and n
a. 5 + 7n is the algebraic expression for 7 more than the product of 5 and n
How is this determined?The expression needed to indicate the value of 5 added to the product of 7 and n is "5 greater than the product of 7 and n."
The equation 7n represents the product of 7 and n, and the expression 5 + 7n is obtained by adding 5 to 7n.
This is the proper algebraic expression for the phrase that was given.
It follows that 5 + 7n = 5 + 21 = 26, which is 5 more than the sum of the products of 7 and 3. As an illustration, if we substitute a value of 3 for n, the expression 7n would equal 21.
Because option b is a product of 5 and (7+n), which is not equivalent to 5 greater than the product of 7 and n, the other choices are incorrect.
The product of option c and (5+n) is 7, but it also does not equal 5 greater than the product of 7 and n.
A sum of 5, 7, and n makes up option d, which also does not equal 5 greater than the result of the product of 7 and n.
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Geometry 6.2
What is m∠N
Check the picture below.
Katya decided that she could not afford the $48,000 it would cost her to attend college and get her four-year degree. Instead, she entered the full-time workforce four years earlier than her peers who went to college. During those four years, she earned a total of $90,000. However, without a college degree, Katya made an average of $10,000 less than she could have with a degree every year for the 40 additional years of her career. What was the long-term financial cost of Katya deciding to not attend college?
Answer: $310,000
Step-by-step explanation:
In 40 additional years, the amount she made less than her college counterparts was;
= 10,000 * 40
= $400,000
She however made $90,000 more than them as they went to college;
= 400,000 - 90,000
= $310,000
The long-term financial cost was $310,000.
Bob owns a hardware store he sells hammers for 15$ on Saturday he sold 36 hammers how much money did he collect for hammers that day
Given:
Bob owns a hardware store he sells hammers for 15$
On Saturday he sold 36 hammers.
The total cost of the hammers =
\(15*36=540\)So, the answer will be $540
PLEASE I NEED HELP!!
Sketch the region enclosed by the given curves. y=cbrt(5x) ,y= 1/5 x
The region R is the area enclosed by the curve y = ∛(5x), the curve y = 1/5 x, the x-axis, and the vertical line x = 125/4.
The given curves are
y = ∛(5x)
y = 1/5 x.
The sketch of the region enclosed by the given curves is shown in the following figure:
Region enclosed by the given curves:
The curve y = ∛(5x) and y = 1/5 x intersect at the point (125/4, 5/2).
At this point,
y = ∛(5(125/4)) = 5/2.
Hence, the point of intersection is (125/4, 5/2).
Therefore, the required region is given by
R = {(x, y) :
0 ≤ x ≤ 125/4 and
0 ≤ y ≤ 1/5 x and
0 ≤ y ≤ ∛(5x)}
In other words, the region R is the area enclosed by the curve y = ∛(5x), the curve y = 1/5 x, the x-axis, and the vertical line x = 125/4.
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Megan has $500 in her savings account. The interest rate is 7%, which is not
compounded. How much money(in dollars) will she have in her account after 5
years? Write the correct answer.
Answer:
500/7=intrest rate/account savings=_________
Step-by-step explanation:
Jonah finds the length of the sides of the quadrilateral
before finding the perimeter. Which statement is true
about the length of the sides of quadrilateral ABCD?
Answer: Side BC has a length of square root 10 units
Step-by-step explanation: I just took the test
A cylinder with radius r and height 2r+4 contains a cube with edge length r + 2, as shown.
What fraction of the cylinder's volume is taken up by the cube? Write your answer in simplified
form.
2r + 4
Volume is the amount of space in an object. The fraction occupied by the cube is: \(\frac{r\sqrt2}{\pi(r + 2)}\)
First, we calculate the volume of the cube.
\(Volume = Length^3\)
From the figure, we have:
\(Length = r\sqrt 2\)
So:
\(V_1 = (r\sqrt2)^3\)
\(V_1 = (2\sqrt2)r^3\)
Next, the volume of the cylinder
\(Volume=\pi r^2h\)
So, we have:
\(V_2 = \pi r^2 (2r + 4)\)
The fraction (n) occupied by the cube is:
\(n = \frac{V_1}{V_2}\)
So, we have:
\(n = \frac{(2\sqrt2)r^3}{\pi r^2(2r + 4)}\)
Factor out 2 in the denominator
\(n = \frac{(2\sqrt2)r^3}{2\pi r^2(r + 2)}\)
Cancel out common terms
\(n = \frac{r\sqrt2}{\pi(r + 2)}\)
Hence, the fraction occupied by the cube is: \(\frac{r\sqrt2}{\pi(r + 2)}\)
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If WS = 4.5 mm, find the length of the arc TS. Round to the nearest tenth.
Answer:
Solution,
<TWR = <PWQ = 128° [Vertically opposite angles]
<TWS = 128°-31° = 97° = \(\frac{97\pi ^{c}}{180}\) = ∝
Arc TS (l) = ?
Radius (r) = 4.5mm
Now,
\(\alpha = \frac{l}{r} \\or, \frac{97\pi ^{c}}{180} = \frac{l}{4.5} \\or, l = \frac{(97\pi)(4.5) }{180} = \frac{436.5\pi }{180}\)≈ 7.61mm
The required measure of the arc TS is given as 7.61 mm.
Orientation of the one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.
Here,
In the diagram,
∠TWR = ∠PWQ
∠TS + 31 = 128
∠TS = 97°
Now,
Arc = angle × radius
Arc = 97 × π /180 × 4.5
Arc = 7.61 mm
Thus, the required measure of the arc TS is given as 7.61 mm.
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to prove that δdef ≅ δdgf by sas, what additional information is needed? ∠def ≅ ∠dgf ∠dfe ≅ ∠dfg de ≅ dg dg ≅ gf
Two corresponding sides of the triangles are congruent by congruence postulate, meaning DE ≅ AB and EF ≅ BC. The included angle between the congruent sides is also congruent, meaning ∠DEF ≅ ∠ABC.
To prove that ΔDEF and ΔABC are congruent by SAS (Side-Angle-Side), we need to have the following additional information:
1. The length of two sides of each triangle must be equal.
2. The included angle between these two sides must be equal.
3. The length of the third side of each triangle must be equal.
If we have this information, we can use the SAS congruence postulate to prove that ΔDEF and ΔABC are congruent.
To prove that ΔDEF and ΔABC are congruent by the Side-Angle-Side (SAS) Congruence Postulate, you'll need the following additional information:
Once you have this information, you can apply the SAS Congruence Postulate to conclude that ΔDEF and ΔABC are congruent.
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Help please! Thank youuuuuy
Step-by-step explanation:
can an.y gi.rl message me. i have no power to inbox
Please select the correct answer from the group of answer choices for each part of the question:
1a. Consider the computing load of a sum of 100 scalar variables and one matrix subtraction of a pair of two-dimensional array with dimensions 100x100. Assume the matrix subtraction is fully parallelizable, calculate the speedup using 100 processors assuming 10 processors carry 20% of the load and the rest load is shared among the rest 90 processors evenly?
A: 101/3
B: 101/2
C: 101
D: 100
1b: For the following vector MIPS code DAXPY which performs Y=a x X+Y, fill the two blank instructions.
L.d $f1, a($sp) ;load scalar a
Lv $v0, 0($s0) ;load vector x
__________________ ;vector-scalar multiply
Lv $v2, 0($s1) ;load vector y
___________________ ;add y to product
Sv $v3, 0($s1) ; store the result
A:
mul.d $v1, $v0, $f1
add.d $v3, $v1, $v2
B:
mulvs.d $v1, $v0, $f1
addv.d $v3, $v1, $v2
C:
mul.d $v2, $v0, $f1
add.d $v3, $v1, $v2
D:
mulvs.d $v2, $v0, $f1
addv.d $v3, $v1, $v2
1c. Which of the following statement is incorrect?
A: Both multithreading and multicore rely on parallelism to get more efficiency from a chip.
B: In coarse-grained multithreading, switching between threads only happens after significant events such as last-level cache miss.
C: In fine-grained multithreading, switching between threads happens after every instruction.
D: Simultaneous multithreading (SMT) uses threads to improve resource utilization of statically scheduled processor.
1d. In the roofline model, the attainable GFLOPs/sec is set by _____?
A: Peak Memory BW x Arithmetic Intensity
B: Peak Floating-Point Performance
C: Min (Peak Memory BW x Arithmetic Intensity, Peak Floating-Point Performance)
D: Max (Peak Memory BW x Arithmetic Intensity, Peak Floating-Point Performance)
The correct answer is D: Max (Peak Memory BW x Arithmetic Intensity, Peak Floating-Point Performance).
1a. C: 101 to calculate the speedup, we need to consider the computing load distribution among the processors. In this case, 10 processors carry 20% of the load, which means each of these processors handles 2% of the load. The remaining 90 processors share the rest of the load evenly, so each processor among these 90 handles (100% - 20%) / 90 = 0.8889% of the load.
The speedup can be calculated using Amdahl's Law, which states that the speedup is limited by the portion of the program that cannot be parallelized. In this case, the matrix subtraction is fully parallelizable, so the only portion that cannot be parallelized is the sum of the scalar variables.
The speedup formula is given by: Speedup = 1 / [(1 - p) + (p / n)], where p is the portion that can be parallelized and n is the number of processors.
In this case, p = 0.02 (for the 10 processors) and n = 100. Substituting these values into the formula, we get: Speedup = 1 / [(1 - 0.02) + (0.02 / 100)] = 1 / 0.99 = 1.0101.
Therefore, the correct answer is C: 101.
1b. A:
mul.d $v1, $v0, $f1
add.d $v3, $v1, $v2
The code snippet performs the DAXPY operation, which multiplies a scalar value (a) with a vector (x) and adds the result to another vector (y). The blank instructions should be filled with the above choices.
1c. C: In fine-grained multithreading, switching between threads happens after every instruction.
In fine-grained multithreading, switching between threads happens after every instruction, which is an incorrect statement. Fine-grained multithreading allows switching between threads at a much finer granularity, such as cycle-by-cycle or instruction-by-instruction, to improve resource utilization.
1d. B: Peak Floating-Point Performance
In the roofline model, the attainable GFLOPs/sec is set by the peak floating-point performance of the processor. The roofline model is a performance model that visualizes the performance limitations of a system based on the memory bandwidth and arithmetic intensity of the code. The attainable performance is determined by the lower value between the peak memory bandwidth and the peak floating-point performance. Therefore, the correct answer is B: Peak Floating-Point Performance.
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-108y^4 - 4y
I just need the steps, screw the answer if you want.
Answer:
-4y(3y + 1) (9y^2 - 3y + 1)
Step-by-step explanation:
-108y^4 - 4y
= -4y(27y^3 + 1)
= -4y(3y + 1) (3^2y^2 - 3y + 1)
= -4y(3y + 1) (9y^2 - 3y + 1)
Answer:
-4y(3y + 1) (9y^2 - 3y + 1)
PQR is a tangent to circle QABCD. AB || QD. CB=CD. Let 2, -30° and D₂ =70°. P A 1.1 Calculate Q₁. 1.2 Prove that C=110 A 1.3 Calculate B1
is 8 x 2/8 less than 8 or greater than 8
Answer: yes if is
Step-by-step explanation:
solve t^2y'+2ty-y^3=0
The general solution to the given differential equation is
y = ± √(1 / (2ln|t| + 4/t - C2))
Solution to the differential equationTo solve the given differential equation, we can use the method of separable variables. Let's go through the steps:
Rearrange the equation to separate the variables:
t^2y' + 2ty - y^3 = 0
Divide both sides of the equation by t^2:
y' + (2y/t) - (y^3/t^2) = 0
Now, we can rewrite the equation as:
y' + (2y/t) = (y^3/t^2)
Separate the variables by moving the y-related terms to one side and the t-related terms to the other side:
(1/y^3)dy = (1/t - 2/t^2)dt
Integrate both sides of the equation:
∫(1/y^3)dy = ∫(1/t - 2/t^2)dt
To integrate the left side, let's use a substitution. Let u = y^(-2), then du = -2y^(-3)dy.
-1/2 ∫du = ∫(1/t - 2/t^2)dt
-1/2 u = ln|t| + 2/t + C1
-1/2 (y^(-2)) = ln|t| + 2/t + C1
Multiply through by -2:
y^(-2) = -2ln|t| - 4/t + C2
Now, take the reciprocal of both sides to solve for y:
y^2 = (-1) / (-2ln|t| - 4/t + C2)
y^2 = 1 / (2ln|t| + 4/t - C2)
Finally, taking the square root:
y = ± √(1 / (2ln|t| + 4/t - C2))
Therefore, the general solution to the given differential equation is:
y = ± √(1 / (2ln|t| + 4/t - C2))
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True or false? the interval [1,2] contains exactly two numbers - the numbers 1 and 2.
The answer is "false". The interval [1, 2] contains all the real numbers between 1 and 2 including the endpoints.
How to write and represent an interval?An interval notation is used for representing the continuous set of real values. This is the shortest way of writing inequalities.
Intervals are represented within the brackets such as square brackets or open brackets(parenthesis).
If the interval is within a square bracket, then the end values are included in the set of values.If the interval is within parenthesis, then the end values are not included in the set of values.The square brackets represent the inequalities - 'greater than or equal or 'less than or equalThe parenthesis represents the inequalities - 'greater than' or 'less thanFinding true or false:The given interval is [1, 2]
The given statement is - 'the interval [1, 2] contains exactly two numbers - the numbers 1 and 2'
The given statement is 'false'.
This is beacuse, an interval consists set of all the real values in between the two values given.
So, according to the definition, there are not only the end values but also many real values in between them.
Thus, the answer is "false". The interval [1, 2] consists of all the real values between 1 and 2 including 1 and 2.
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Solve the equation C^2 =4
Answer:
2
Step-by-step explanation:
Hey there!
The equation is asking us, c x c = 4
What is c?
Well the only number that is equal to 4 when you square it is 2
Which system of inequalities is shown?
AY
O A. y>x
y> 2
OB. y
y<2
OC. y
y> 2
OD. y> x
y< 2
119
-5
S
The correct answer is option C.Which is the inequalities that show the graphs are y < x and y > 2.
What is a graph?A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
The inequality which is shown in the figure is y < x and y > 2.We can see in the graph when you plot y > 2 then it will cover all the values greater than 2 in the graph.
Similarly, if we plot the inequality y < x on the graph it will cover all the values of y which are less than x and intersect at the point ( 2, 2).
Therefore the correct answer is option C.Which is the inequalities that show the graphs are y < x and y > 2. The graph is attached with the answer below.
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Use implicit differentiation to find the slope of the tangent line at the given point:
Answer:
\(\displaystyle \frac{dy}{dx}\Big|_{(1, 1)}=0\)
Step-by-step explanation:
We are given the equation:
\((x^2+y^2)^2=4x^2y\)
And we want to find the slope of the tangent line at the point (1,1).
Recall that the slope of the tangent line to a point of a function is given by the function's derivative.
Thus, find the derivative of the equation. Take the derivative of both sides with respect to x:
\(\displaystyle \frac{d}{dx}\left[(x^2+y^2)^2\right]=\frac{d}{dx}\left[4x^2y\right]\)
Let's do each side individually.
Left:
We can use the chain rule:
\((u(v(x))'=u'(v(x))\cdot v'(x)\)
Let v(x) be x² + y² and u(x) is x². Thus, u'(x) is 2x. Therefore:
\(\displaystyle \frac{d}{dx}\left[(x^2+y^2)^2\right]=2\left(x^2+y^2\right)\left(\frac{d}{dx}\left[x^2+y^2\right]\right)\)
Differentiate:
\(\displaystyle \frac{d}{dx}[(x^2+y^2)^2]=2(x^2+y^2)\left(2x+2y\frac{dy}{dx}\right)\)
Factor. Therefore, our left side is:
\(\displaystyle 4(x^2+y^2)\left(x+y\frac{dy}{dx}\right)\)
Right:
We have:
\(\displaystyle \frac{d}{dx}\left[4x^2y\right]\)
We can move the constant multiple outside:
\(\displaystyle =4\frac{d}{dx}\left[x^2y\right]\)
We will use the Product Rule:
\(\displaystyle =4\left(\frac{d}{dx}\left[x^2\right]y+x^2\frac{d}{dx}\left[y\right]\right)\)
Differentiate:
\(\displaystyle =4\left(2xy+x^2\frac{dy}{dx}\right)\)
Therefore, our entire equation is:
\(\displaystyle 4(x^2+y^2)\left(x+y\frac{dy}{dx}\right)=4\left(2xy+x^2\frac{dy}{dx}\right)\)
To find the derivative at (1,1), substitute and evaluate dy/dx when x = 1 and y = 1. Hence:
\(\displaystyle 4((1)^2+(1)^2)\left((1)+(1)\frac{dy}{dx}\right)=4\left(2(1)(1)+(1)^2\frac{dy}{dx}\right)\)
Evaluate:
\(\displaystyle 4((1)+(1))\left(1+\frac{dy}{dx}\right)=4\left(2+\frac{dy}{dx}\right)\)
Further simplify:
\(\displaystyle 8\left(1+\frac{dy}{dx}\right)=8+4\frac{dy}{dx}\)
Distribute:
\(\displaystyle 8+8\frac{dy}{dx}=8+4\frac{dy}{dx}\)
Solve for dy/dx:
\(\displaystyle 4\frac{dy}{dx}=0\Rightarrow \frac{dy}{dx}=0\)
Therefore, the slope of the tangent line at the point (1, 1) is 0.
60% of one of your playlists is alternative, 25% is rap, and the remaining songs are classic rock. You listen to two songs. What is the probability that at least one will be a classic rock song
Answer:
15% should be the answer because 60 + 25 is 85 and the remaining is classic rock which is 15%
The radius of a large balloon is increasing at a rate of 2 inches per second. How fast, in cubic inches per second, is the volume increasing when the radius is 10 inches
The volume of the balloon is increasing at a rate of 800π cubic inches per second when the radius is 10 inches.
Using the volume of a sphere formula, V = (4/3)πr³, where V is the volume and r is the radius, we can determine how quickly the balloon's volume is growing.
We are given that the radius is increasing at a rate of 2 inches per second, so dr/dt = 2.
We need to find dV/dt, the rate at which the volume is changing with respect to time. To do this, we can differentiate the volume formula with respect to time using the chain rule:
dV/dt = dV/dr × dr/dt
First, let's find dV/dr. Differentiating the volume formula with respect to the radius gives us:
dV/dr = d/dt ((4/3)πr³) = 4πr²
We can now enter the supplied values into the equation as follows:
dV/dt = (4πr²) × (dr/dt) = (4π(10)²) × (2)
Calculating this expression gives us the rate of change of the volume:
dV/dt = 800π cubic inches per second
So, when the radius is 10 inches, the volume of the balloon is increasing at a rate of 800π cubic inches per second.
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The locus of point equidistant from three vertices of a triangle is……………
Answer:
circumcenter
Step-by-step explanation:
You want to know the name of the point equidistant from the vertices of a triangle.
CircumcircleThe circle that passes through the vertices of a triangle is called a "circumcircle". It circumscribes the triangle. Its center is equidistant from all points on the circle, so is equidistant from the triangle's vertices.
The point equidistant from the vertices of a triangle is the circumcenter.
__
Additional comment
The circumcenter is at the intersection of the perpendicular bisectors of the sides of the triangle.
Give the function y=5+2x, what is the output (y) when the input, x=4?
Answer:
13
Step-by-step explanation:
y=5+2(4)
Answer:
c y would equal 13 your answer is C
In a recent National Survey of Drug Use and Health, 2312 of 5914 randomly selected full-time US college students were classified as binge drinkers.
If we were to calculate a 99% confidence interval for the true population proportion p that are all binge drinkers, what would be the lower limit of the confidence interval? Round your answer to the nearest 100th, such as 0.57 or 0.12. (hint: use Stat Crunch to calculate the confidence interval).
The lower limit of the 99% confidence interval for the true population proportion of binge drinkers cannot be determined without additional information.
To calculate the lower limit of the 99% confidence interval for the true population proportion of binge drinkers, we need to know the sample proportion and the sample size. While the information provided states that 2312 out of 5914 randomly selected full-time US college students were classified as binge drinkers, we don't have the specific sample proportion.
Additionally, the margin of error is required to calculate the confidence interval. Without these values or the methodology used to calculate the interval, we cannot determine the lower limit. It is important to note that the confidence interval is influenced by the sample size, sample proportion, and the desired level of confidence. Without more information, we cannot compute the lower limit of the confidence interval.
Learn more about Population here: brainly.com/question/15889243
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