Answer:
Step-by-step explanation:
the volume of this prism is equal to
V=l*w*h
V=(x+1)(x)(x-3)
multiply
V=x^3-2x^2-3x
it is your first choice
Answer:
Step-by-step explanation:
\(V=LWH\\ \\ V=x(x+1)(x-3)\\ \\ V=x(x^2-2x-3)\\ \\ V=x^3-2x^2-3x\)
Answer and explanation please
solve for x: 100-6x=160-10x
Answer:
x= 15
Step-by-step explanation:
Which set of related x and y values represents a function? A. {(3, 1), (5,0), (-2,-8), (3,-1), (4,4)} B. {(-2, 4), (-3, 1), (6,4), (0, -2), (6, 6)} C. {(2,4), (5, 4), (-3,-1), (-2, 0), (-5,4)} D. {(-7, 9), (-1,0), (-7,4), (6, 4), (-2, 9)}
By definition of a function
A function is a relation for which each value from the set of the first components of the ordered pairs is associated with exactly one value from the set of second components of the ordered pair.
This implies that
''every value of x has a unique corresponding value of y''
from the options
the options with repeated x value is not a function
Hence the correct answer is option C
\(\mleft\lbrace(2,\text{ 4}\mright),\text{ (5, 4), (-3, -1), (3, 0), (-5, 4)}\}\)
What is the least common denominator of the equation 2/9x+2/3x=7
Answer:
I believe it's 3 but I haven't taken a math class in a hot min
Given the triangle below with centroid G, determine the following values.
If EG=3.5, then GB= and BE= If AD=15, then AG= and DG= If CG=6x, then FG- and CF=
Answer:
GB = 7
BE = 10.5
AG = 10
DG = 5
FG = 3·x
CF = 9·x
Step-by-step explanation:
The given parameters are;
The centroid of the ΔABC = G
Segments CF, BE, and AD are median lines
EG = 3.5 Given
∴ EG = 1/3 × BE by definition of the properties of median line
∴ BE = 3 × EG = 3 × 3.5 = 10.5
BE = 10.5
GB = 2/3 × BE = 2/3 × 10.5 = 7 by definition of the properties of median line BE
GB = 7
Similarly;
Given that AD = 15, AG = 2/3 × AD = 2/3 × 15 = 10 by definition of the properties of median line AD
AD = 10
DG = 1/3 × AD = 1/3 × 15 = 5 by definition of the properties of median line AD
DG = 5
Similarly;
Given CG = 6·x
FG = 1/3 × CF
CF = 3 × FG
CG = 2/3 × CF = 2/3 × 3 × FG
∴ CG = 2 × FG
FG = CG/2 = 6·x/
2 = 3·x
FG = 3·x
CF = 3 × FG = CF = 3 × 3 × x = 9·x
CF = 9·x
The height of a tree is 1200 centimeters. What is the height of the tree in feet? (1 in = 2.54 cm)
Answer:
Your answer is 100feet
Step-by-step explanation:
What is the slope of the line represented by the equation y=1/2x+1/4?
Answer:
-1/2
Step-by-step explanation:
He wallow fire of 2011 burned 538,000 acres in eastern arizona. A. [2 pts] if one square mile is 640 acres, how many square miles did the fire burn?
The square miles that was burned if one square mile is 640 acres is 840.625 square miles.
What does division mean?Division is the process of grouping a number into equal parts using another number. The sign used to denote division is ÷. Division is one of the basic mathematical operations.
How many square miles was burned?Square miles that was burned = 538,000 / 640 = 840.625 square miles
To learn more about division, please check: https://brainly.com/question/13281206
There are 840.625 square miles did the fire burn.
What is division?Division is the process of sharing a collection of items into equal parts and is one of the basic arithmetic operations in maths.
The wallow fire of 2011 burned 538,000 acres in eastern Arizona.
The area of square miles did the fire burned is;
\(\rm Area =\dfrac{538,000}{640}\\\\Area =840.625 \ square \ miles\)
Hence, there are 840.625 square miles did the fire burn.
To learn more about division here:
brainly.com/question/13281206
#SPJ4
Find:11/3 divided
by 2/3
The quotient is
5 and________
solve for the missing elements. Show your work. Use 3.14 for pie 28 diameter
Answer:
Pls someone answer this i need it 2
Step-by-step explanation:
When constructing an angle bisector, the compass must be used to make three arcs. Do all three arcs need to have the same radius? Explain.
- Yes, because then the marks are equidistant from each other.
- Yes, because you need the points of intersection of the angle and arcs to form a parallelogram.
- No; the second two arcs must have the same radius but it can be different from the first.
- No; any three radii will work.
The verdict which is true about the radius of all three arcs when constructing an angle bisector is; - No; the second two arcs must have the same radius but it can be different from the first.
The correct answer option is option C.
Which is true about the radiuses of all three arcs when constructing an angle bisector?Recall that an angle at point, O is formed by the intersection of two lines; say lines A and B.
Hence, in a bid to draw the Angie bisector of the angle; AOB, three arcs are needed.
The first arc is an arc drawn by placing the pivot of the compass at the point, O and drawing an arc which intersects lines A and B. The radius of this first arc in discuss can be any value.
Subsequently, the other two arcs are propagated using the points of intersection of the first arc with both lines such that the two arcs intersect.
It is however noteworthy to know that these two arcs must have the same radius.
Ultimately, the second two arcs must have the same radius but it can be different from the first.
Read more on angle bisector;
https://brainly.com/question/24677341
#SPJ1
ILL MARK BRAINLIEST PLEASE HELP! Solve and graph its solution:
In 2005, the average cost of a 32" flat-screen TV was $1,700. In 2015, the average cost of a 32" flat-screen TV was $550. Assuming those were the least and greatest costs during that period, write a compound inequality that describes the cost c of a 32" flat-screen TV between 2005 and 2015.
Answer:x < 1,700. ×> 550
Step-by-step explanation:
Answer:AHHHH
Step-by-step explanation:
Find the area of the regular hexagon if the radius of a circle inscribed in the hexagon is 10√3
meters.
Answer:
D. 600√3Step-by-step explanation:
Refer to your previous question:
https://brainly.com/question/22624022Radius of the inscribed circle is the apothem of the hexagon.
Apothem (a) and half of the side (s) make a 30-60-90 right triangle.
The ratio of the legs, as per property of 30-60-90 triangle:
s : a = 1 : √3 ⇒ s : 10√3 = 1 : √3 ⇒ s = 10Half the side is s = 10 units, then side of the hexagon is 20 units.
The area of the hexagon:
A = 1/2Pa, P- perimeter, a- apothem A = 1/2(6*20)*(10√3) = 600√3Correct choice is D
Write in Standard Form: 1.52E4
Write in Standard Form: 1.52E-4
Write in Standard Form: 1.52E6
Write in Standard Form: 1.52E-6
What does 4*10^6 mean in words
What does 5E9 mean in words
I’ll give you a brainiest and a thanks if you could help me please.
Answer:
Number 5e9, five thousand million
let x and y be two independent random variables with distribution n(0,1). a. find the joint distribution of (u,v), where u
To find the joint density function, we need to calculate the Jacobian determinant of the transformation from (x, y) to (u, v)
The joint distribution of (u, v), where u and v are defined as
\(u = \frac{x}{{\sqrt{x^2 + y^2}}}\) and \(v = \frac{y}{{\sqrt{x^2 + y^2}}}\), is given by:
\(f_{U,V}(u,v) = \frac{1}{{2\pi}} \cdot e^{-\frac{1}{2}(u^2 + v^2)}\)
To find the joint density function, we need to calculate the Jacobian determinant of the transformation from (x, y) to (u, v):
\(J = \frac{{du}}{{dx}} \frac{{du}}{{dy}}\)
\(\frac{{dv}}{{dx}} \frac{{dv}}{{dy}}\)
Substituting u and v in terms of x and y, we can evaluate the partial derivatives:
\(\frac{{du}}{{dx}} &= \frac{{y}}{{(x^2 + y^2)^{3/2}}} \\\frac{{du}}{{dy}} &= -\frac{{x}}{{(x^2 + y^2)^{3/2}}} \\\frac{{dv}}{{dx}} &= -\frac{{x}}{{(x^2 + y^2)^{3/2}}} \\\frac{{dv}}{{dy}} &= \frac{{y}}{{(x^2 + y^2)^{3/2}}}\)
Therefore, the Jacobian determinant is:
\(J &= \frac{y}{{(x^2 + y^2)^{\frac{3}{2}}}} - \frac{x}{{(x^2 + y^2)^{\frac{3}{2}}}} \\&= -\frac{x}{{(x^2 + y^2)^{\frac{3}{2}}}} + \frac{y}{{(x^2 + y^2)^{\frac{3}{2}}}} \\J &= \frac{1}{{(x^2 + y^2)^{\frac{1}{2}}}}\)
Now, we can find the joint density function of (u, v) as follows:
\(f_{U,V}(u,v) &= f_{X,Y}(x,y) \cdot \left|\frac{{dx,dy}}{{du,dv}}\right| \\&= f_{X,Y}(x,y) / J \\&= f_{X,Y}(x,y) \cdot (x^2 + y^2)^{\frac{1}{2}}\)
Substituting the standard normal density function
\(f_{X,Y}(x,y) &= \frac{1}{2\pi} \cdot e^{-\frac{1}{2}(x^2 + y^2)} \\f_{U,V}(u,v) &= \frac{1}{2\pi} \cdot e^{-\frac{1}{2}(x^2 + y^2)} \cdot (x^2 + y^2)^{\frac{1}{2}} \\&= \frac{1}{2\pi} \cdot e^{-\frac{1}{2}(u^2 + v^2)}\)
Therefore, the joint distribution of (u, v) is given by:
\(f_{U,V}(u,v) &= \frac{1}{2\pi} \cdot \exp\left(-\frac{1}{2}(u^2 + v^2)\right)\)
Learn more about joint probability distributions:
https://brainly.com/question/32099581
#SPJ11
To find the joint density function, we need to calculate the Jacobian determinant of the transformation from (x, y) to (u, v)
The joint distribution of (u, v) is a bivariate normal distribution with mean (0,0) and variance-covariance matrix
\(\begin{bmatrix}2 & 0 \0 & 2\end{bmatrix}\)
The joint distribution of (u, v) can be found by transforming the independent random variables x and y using the following formulas:
\( u = x + y\)
\( v = x - y \)
To find the joint distribution of (u, v), we need to find the joint probability density function (pdf) of u and v.
Let's start by finding the Jacobian determinant of the transformation:
\(J = \frac{{\partial (x, y)}}{{\partial (u, v)}}\)
\(= \frac{{\partial x}}{{\partial u}} \cdot \frac{{\partial y}}{{\partial v}} - \frac{{\partial x}}{{\partial v}} \cdot \frac{{\partial y}}{{\partial u}}\)
\(= \left(\frac{1}{2}\right) \cdot \left(-\frac{1}{2}\right) - \left(\frac{1}{2}\right) \cdot \left(\frac{1}{2}\right)\)
\(J = -\frac{1}{2}\)
Next, we need to express x and y in terms of u and v:
\(x = \frac{u + v}{2}\)
\(y = \frac{u - v}{2}\)
Now, we can find the joint pdf of u and v by substituting the expressions for x and y into the joint pdf of x and y:
\(f(u, v) = f(x, y) \cdot |J|\)
\(f(u, v) = \left(\frac{1}{\sqrt{2\pi}}\right) \cdot \exp\left(-\frac{x^2}{2}\right) \cdot \left(\frac{1}{\sqrt{2\pi}}\right) \cdot \exp\left(-\frac{y^2}{2}\right) \cdot \left|-\frac{1}{2}\right|\)
\(f(u, v) = \frac{1}{2\pi} \cdot \exp\left(-\frac{u^2 + v^2}{8}\right)\)
Therefore, the joint distribution of (u, v) is given by:
\(f(u, v) = \frac{1}{2\pi} \cdot \exp\left(-\frac{{u^2 + v^2}}{8}\right)\)
In summary, the joint distribution of (u, v) is a bivariate normal distribution with mean (0,0) and variance-covariance matrix
\(\begin{bmatrix}2 & 0 \0 & 2\end{bmatrix}\)
Learn more about joint probability distributions:
brainly.com/question/32099581
#SPJ11
Drag the tiles to the boxes to form correct pairs.
What are the unknown measurements of the triangle? Round your answers to the nearest hundredth as needed.
A
8
с
62
B
3.76
28°
The unknown measurement of the triangle are
angle C = 28 degrees
c = 3.76
How to find the missing sidesTo find the unknown angle we use sum of angles in a triangle
angle C + 62 + 90 = 180
angle C = 180 - 90 - 62
angle C = 28 degrees
Then we use trigonometry to solve for c
cos 62 = c / 8
c = 8 * cos 62
c = 3.76
Learn more about trigonometry at
https://brainly.com/question/24349828
#SPJ1
Negative seven times a number is 364. find the number
Find the values of the following infinite sum:
1+ 3/π + 3/π² + 3/π³ + 3/π^4 …
Answer:
(π+2)/(π-1)
Step-by-step explanation:
The sum of an infinite geometric series with first term 'a' and common ratio 'r' is given by the formula ...
S = a/(1 -r) . . . . . for |r| < 1
SeriesThe given sum can be decomposed into a constant and a series:
= -2 +(3 +3/π +3/π² +3/π³ +...)
= -2 +S . . . where a=3 and r=1/π in the above sum formula
SumThen the sum is ...
\(-2+\dfrac{3}{1-\dfrac{1}{\pi}}=-2+\dfrac{3\pi}{\pi-1}=\dfrac{-2(\pi-1)+3\pi}{\pi-1}=\boxed{\dfrac{\pi+2}{\pi-1}}\)
__
Additional comment
There is no way to rationalize the denominator of this fraction, but the numerator can be rationalized by writing it as a mixed number:
\(=\dfrac{3}{\pi-1}+1\)
Effectively, this is the same as we would have gotten with ...
1 +S . . . where a=3/π and r=1/π
angle f and angle h are supplementary angles. the measure of angle f is seventy-seven degrees. the measure of angle h is five x plus eighteen, degrees. which equation can be used to find the value of x?
The value of x is 17.
Supplementary angles are two angles that add up to 180 degrees. In this case, we know that angle F and angle H are supplementary angles. We also know that the measure of angle F is 77 degrees and the measure of angle H is 5x + 18 degrees.
So we can write the following equation to represent the fact that the sum of the measures of these two angles is 180 degrees:
77 + 5x + 18 = 180
Simplifying this equation, we get:
5x + 95 = 180
Subtracting 95 from both sides, we get:
5x = 85
Dividing both sides by 5, we get:
x = 17
Therefore, the value of x is 17.
To know more about Supplementary angles refer here:
https://brainly.com/question/18362240
#SPJ11
help a girl out please ???
20 points worth.
i only need help on the ones that you see in the linked attachmnet
Answer:
1.)
y= (15 x 3) - 40
y= 45-40
y= 41
2.)
y= (2/3 x 21) +20
y= 14+20
y= 34
3.)
y= (3* -2)² +17
y= -6² +17
y= -36 +17
y= -19
SRY I DID NOT ANSWER BEFORE
Answer:
1.) y= 41
2.) y=34
3.) y= -19
Step-by-step explanation:
1.) y= (15 x 3) - 40
y= 45-40
y= 41
2.) y= (2/3 x 21) +20
y= 14+20
y= 34
3.) y= (3* -2)² +17
y= -6² +17
y= -36 +17
y= -19
Find All The Antiderivatives
dy/dx = x - e^x
The antiderivatives of dy/dx = x - e^x are y = 1/2 x^2 - e^x + C, where C is an arbitrary constant.
To find the antiderivatives of dy/dx = x - e^x, we need to integrate both sides with respect to x.
∫dy = ∫(x - e^x)dx
Integrating the right side using the sum rule of integration, we get:
y = 1/2 x^2 - ∫e^x dx
Using the power rule of integration, we can integrate e^x, which gives us:
y = 1/2 x^2 - e^x + C
where C is an arbitrary constant of integration.
Therefore, the antiderivatives of dy/dx = x - e^x are y = 1/2 x^2 - e^x + C, where C is an arbitrary constant.
For more questions like Antiderivative click the link below:
https://brainly.com/question/31045111
#SPJ11
The container that holds the water for the football team is
1/10 full.
After pouring in 12 gallons of water, it is 1/2 full.
How many gallons can the
container hold.
Answer:
30 Gallons
Step-by-step explanation:
Okay so you need to start by making an equation for yourself. Since the container starts at 1/10 of the total, you want to start by saying 1/10x. Then you add 12 gallons of water to make it half full. So 1/10x + 12 = 1/2x where x is the total amount that can fit in the container.
1/10x + 12 = 1/2x (Move your x's to the same side.)
12 = 1/2x - 1/10x (Find a common denominator.)
12 = 5/10x - 1/10x (Simplify/)
12 = 4/10x (Multiply both sides by 10; your demoninator)
120 = 4x (Divide)
x = 30
Your container holds 30 gallons.
Classify the sequence {1, 6, 11, 16, 21, …}.
Answer:
Classify the sequence {1, 6, 11, 16, 21, …}.
The pattern is +5:
1 + 5 = 6
6 + 5 = 11
11 + 5 = 16
16 + 5 = 21
21 + 5 = 26
And so on
Step-by-step explanation:
You're welcome
The following box plot represents the average heights of the students in Mr. Taylor's fourth grade math class.
1) In this question, we need to remember that in any boxplot the line in the middle of the box indicates the median.
Based on that, we can tell the Median is 140
2) In the Interquartile Range, we need to find the range between the lower quartile and the upper one, based on that boxplot. We can tell the IQR is:
\(IQR=Q_3-Q_1\Rightarrow141-138=3\)Note that the boundaries of the box show us the lower and the upper quartile:
in a study, the sample is chosen by dividing population by voting district, and sampling everyone in five districts selected what is the sampling method? simple random systematic stratified cluster convenience chegg
The sampling method used in the given study is stratified sampling. In this method, the population is divided into homogeneous groups called strata, and a random sample is selected from each stratum to form the final sample. stratified sampling is a useful method for selecting a representative sample from a heterogeneous population when subgroups are well defined.
The given study chooses the sample by dividing the population by voting district and sampling everyone in five districts selected. Therefore, it is an example of stratified sampling where the strata are defined by voting districts. The method is preferred when the population is heterogeneous and it is important to ensure that the sample represents all subgroups of the population.
By dividing the population into strata, the variability within each stratum is reduced, making the sample more representative of the entire population.
In the given study, stratified sampling was used because the researchers wanted to ensure that the sample represents the entire population by selecting individuals from different voting districts. By dividing the population into strata based on voting districts, the researchers were able to reduce the variability within each stratum, making the sample more representative of the entire population.
In addition, the method also ensures that each stratum is represented in the sample, providing a more accurate estimate of the population parameters. Overall, stratified sampling is a useful method for selecting a representative sample from a heterogeneous population when subgroups are well defined.
To know more about stratified sampling refer here:
https://brainly.com/question/15604044
#SPJ11
factorize:
\( 3{x}^{2} + x + 15 = 0\)
Answer:
This is prime. (No factors),
Step-by-step explanation:
3x^2 + x + 15.√
This is not possible
Find complex roots using the formula
x = [-1 +/- √1^2 - 4*3*5)] / 6
x = -1/6 +/- √-179) / 6
x = -1 +/- i√179/ 6
So we can write the factors as:
(x - (-1 - i√179/ 6)(x - (-1 + i√179/ 6)
= (x + 1 + i(√179/ 6)) (x + 1 - i(√179/ 6))
Maybe that is what they want.
Work out the following bellow
Answer:
volume of prizm = 1/2 ×6 ×6 ×5 = 90
volume of semi circle = 1/2 x pi x 3^2 x 5 = 70.6858
diff =19.31
PLESAE I WILL GIVE BRAINLY HELP ITS A MATH PROBLEM
PLEASE HELP I NEED THIS
Answer:
the answer is b
Step-by-step explanation:
I will give you a Brainliest
Answer:
B isa the answer for me it might be wrong for you or switch them
Step-by-step explanation: