Answers
We are asked to factor out the expression:
4 x^3 - 10 x
So we extract a factor of "2" from the numerical factors "4" and "10", and also a factor of "x" from each term,leading to:
2 x ( 2 x^2 - 5)
Therefore, please select the first answer option they give you in the list.
Related Questions
the ... of a positive integer is negative.
Answers
Answer:
Multiplying
Step-by-step explanation:
The Multiplying of a positive integer is negative.
how many and what kind of roots will you have if the discriminant is 52
Answers
Answer:
The discriminant is:
b
2
−
4
a
c
a
=
1
b
=
12
c
=
36
Substitute these values into the discriminant and you should get two answers (real roots):
12
2
−
4
(
1
)
(
36
)
=
0
If the discriminant is 0 there is 1 real root, if it is > 0 there are 2 and otherwise 0 real roots.
Step-by-step explanation:
Im pretty sure this is it, hope I could help
Timothy draws three isosceles triangles. In each figure, he measures a pair of angles.
What is a reasonable conjecture for Timothy to make by recognizing a pattern and using inductive reasoning?
In an isosceles triangle, two of the angles are congruent.
In an isosceles triangle, one angle is always obtuse.
In an isosceles triangle, all of the angles are congruent.
In an isosceles triangle, two of the angles are obtuse.
Answers
Answer: I believe that the answer would be "In an isosceles triangle, two of the angles are congruent."
Step-by-step explanation:
Answer:
In an isosceles triangle, two of the angles are congruent.
hope this helps :)
Line parallel to y= -2 + 7
Answers
Answer:
So, equation y=7 is parallel to x-axis. A line parallel to X axis. x axis because it is the same thing as y=0x+7 or y=7, therefore y intercept is 7 and slope is 0.
Step-by-step explanation:
a bicycle that usually sells for $230 is on sale for 25% off. find the sale price.
Answers
Answer:
$172.50
Step-by-step explanation:
Simply do 230 x 0.75 which is the percent subtracted by 25 that decreases a value and makes it less
Need help with number 5 and 7 they are short questions.
Answers
5) Notice that angles 4 and 2 are corresponding angles, since FG is parallel to HJ then:
\(m\angle4=m\angle2.\)If m<2=45º, then by the transitive property we get:
\(m\angle4=45º.\)7) Notice that angles 3 and 6 are aternating exterior angles, since FG is parallel to HJ then:
\(m\angle3=m\angle6.\)If m<6=135º then by the transitive property we get:
\(m\angle3=135º.\)Answer:
(5)
\(m\angle4=45º.\)(7)
\(m\angle3=135º.\)Consider and angle with its vertex at the origin, one side on the x axis and one side passing through the point (x,y). The cosine of the angle is 21/29. Find the since and tangent of the angle.
Answers
Therefore , the solution of the given problem of angle comes out to be tangent is approximately 0.952 and its sine is roughly 0.729.
An angle meaning is what?An angle is a shape in Euclidean geometry made up of two angles, or circular faces, that divide at the centre of the wall and the wall's apex. At their intersections, two rays can join to form an angle. Angle is another outcome of two entities interacting. They are known as dihedral angles. A two-dimensional curve can be created by arranging two line beams in various ways at their ends.
Here,
We must ascertain the values of y and x in order to determine the sine and tangent of the angle. We are aware of:
=> √(x² + y²) * cos(θ) = x/h * 21/29
When we square both edges, we obtain:
=> x² / (x^2 + y²) = 441/841
The result of multiplying both parts by (x² + y²) is:
=> x²= (441/841) (x²+ y²)
If we simplify, we get:
=> (400/841) x² = (441/841) y²
The result of dividing both parts by (441/841) is:
=> (400/441) x²/ y² = 1
=> (y/x)² = 400/441
When we square the two edges, we obtain:
=> y/x = ±(20/21)
=> y/x = 20/21
Therefore,
sin(θ) = y/√(x² + y²) = (20/21) / √(1 + (20/21)²) ≈ 0.729
=> tan(θ) = y/x = 20/21 ≈ 0.952
As a result, the angle's tangent is approximately 0.952 and its sine is roughly 0.729.
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Carly has already written 35 pages of a novel. She plans to write 12 additional pages per month until she is finished. Write and solve a linear equation to find the total number of pages written at 5 months.
Answers
Answer:
f(x) = 12x+35
f(5) = 95 pages written at 5 months
Step-by-step explanation:
Step 1: write the slope intercept equation
f(x) = mx+b
f(x) = the value of the equation at month x
m = slope of the linear equation (pages written PER month)
x = the month
b = intercept of the equation (pages already written)
Step 2: relate given information to the variables
m = 12 pages per month
b = 35 pages already written
Step 3: update equation
f(x) = 12x+35
Step 4: solve for x = 5 months
f(5) = 12(5) + 35 = 60 + 35 = 95
Application of these two principles allows one to solve for the initial velocity of the bullet in terms of the other variables, which can be measured in the lab: m+M J2g Ah (1) m To verity the result from part 1, the ball will be shot horizontally with the pendulum out of the way. The ball will fall to the floor in projectile motion. The height, y, of the ball above the floor and the horizontal distance traveled, x, can be measured. Using the equations of kinematics, V can be determined: (2) 2 y
Answers
To solve for the initial velocity of the bullet, we can apply the two principles of kinematics: the equation of motion and the principles of conservation of momentum and energy.
Using these two principles, the initial velocity of the bullet can be determined using the equation: m+M J2g Ah (1) m, where m is the mass of the bullet, M is the mass of the pendulum, J is the initial velocity of the bullet, g is the acceleration due to gravity, A is the amplitude of the pendulum, and h is the height of the pendulum.
To verify the result from part 1, the ball will be shot horizontally with the pendulum out of the way. The ball will fall to the floor in projectile motion. The height, y, of the ball above the floor and the horizontal distance traveled, x, can be measured. Using the equations of kinematics, the initial velocity of the bullet can be determined using the equation: (2) 2 y = (J^2)/g, where y is the height of the ball above the floor, J is the initial velocity of the bullet, and g is the acceleration due to gravity.
By using these equations and the principles of conservation of momentum and energy, the initial velocity of the bullet can be determined.
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Find the value of X
Answers
\(x + 3x + 80 = 180 \\ 4x = 180 - 8 0 \\ 4x = 100 \\ x = \frac{100}{4} \\ x = 25 \: \: \: \)
I need help with this equation:
A line passes through the points (2,-1) and (4,-1).
I already know the slope is 0, what is the equation of the line? (In slope-intercept form)
Answers
The line which passes through the points (2,-1) and (4,-1) has the slope-intercept equation as y = -1.
What is the slope-intercept form?
The line with m as the slope, m and c as the y-intercept is the graph of the linear equation y = mx + c. The values of m and c are real integers in the slope-intercept form of the linear equation.
The line passes through point (x1,y1) = (2,-1) and (x2,y2) = (4,-1)
The formula to find slope is -
m = (y2-y1)/(x2-x1)
m = (-1+1)/(4-2)
m = 0/2
m = 0
Now use the slope and point (2,-1) to find the y-intercept.
y = mx + b
-1 = 0(2) + b
-1 = 0 + b
b = -1
Write the equation in slope-intercept form as -
y = mx + b
y = 0x + (-1)
y = -1
Therefore, the equation is obtained as y = -1.
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Gina has 48 stickers. of the stickers have pictures of flowers. of the stickers have pictures of plants. The rest of the stickers have pictures of people. How many stickers have pictures of people?
Responses
A. 24 stickers
B. 12 stickers
C. 30 stickers
D. 18 stickers
Answers
Answer:
A
Step-by-step explanation:
What is the value of x?
Enter your answer in the box.
Answers
Question
Find the value of x.
x=
Answers
Answer:
x= 60° degree
Step-by-step explanation:
180°-40°= 140°
140= x+ x+ 20
140 -20 =2x
2x = 140 - 20
2x = 120
x = 60°
A biologist needs to estimate the weight of all Spanish lobsters on the Treasure Coast. To achieve this, the
biologist collects a random sample of 20 Spanish lobsters. The weights of each lobster in the sample are
given below. Assume that the weights of all Spanish lobsters on the Treasure Coast are normally distributed.
Answers
The mean weight is given as 5.19
The standard deviation is 1.63
Find the mean weight= (7 + 6.7 + 6.6 + 3.2 + 4.4 + 4.9 + 5.5 + 6.9 + 6.9 + 7 + 4.4 + 6.2 + 3.7 + 4.7 + 6.9 + 3 + 3 + 3.3 + 3.7 + 6.8) / 20
= 5.19
Find standard deviations = sqrt[ (7 - 5.19)^2 + (6.7 - 5.19)^2 + ... + (6.8 - 5.19)^2 / (20 - 1) ]
standard deviation = 1.63
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I NEED TO PASS SO I CA GO TO A CONCERT AND GET MY PHONE BACKKK I WILL GIVE 15 POINTS!! :)
Answers
Answer:
Step-by-step explanation:
Answer:
x=-5, y= 52
x=-1, y= 12
x=0, y= 2
x=1, y= -8
In the accompanying diagram, if triangle OAB is rotated counterclockwise 90 deg about point O, which figure represents the image of this rotation?
(see image below)
Answers
Answer:
Answer option 2
Step-by-step explanation:
When a shape is rotated counterclockwise by 90°, each point of the shape is moved in a circular motion in the counterclockwise direction by 90° around the fixed point of rotation.
As the triangle is rotated about point O, the position of point O does not change (i.e. it is "fixed").
Line segment OA is horizontal in the original figure. When it is rotated 90° counterclockwise, it becomes vertical, where A is above O.
Line segment BA is vertical in the original figure. When it is rotated 90° counterclockwise, it becomes horizontal, where B is to the left of A.
Therefore, the figure that represents the image after the given rotation is the second answer option.
Answer:
Answer option number two.
20
Select the correct answer.
What is this expression in simplified form?
2√2-7√18
O A. 84√2
OB. 18√5
O c. 14sqrt6
O D.
D. 84
Answers
The Question is based on concept of Simplification and answer to this question is -19√2
What is Simplification?
Simplification is the process of making a task, problem, or system easier to understand and manage. It involves breaking down a concept or problem into simpler parts in order to better understand the whole. Simplification can help streamline a process, making it more efficient and easier to complete. It can also help to make complex topics more accessible to a wider audience. Simplification can also be used to make a difficult problem more manageable, allowing for easier solutions.
Here we are given question 2√2 - 7√8 we can do some simplifications like:
but we know we can write √8 = 3√2
hence putting back in original eqn
2√2 - 7(3√2)
2√2 - 21√2
-19√2
Hence required answer is -19√2 by simplification
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Suppose that X∼ geom
0
(p). Find the distribution of Y=X+1. (Name it!) 3. Suppose that X has the exponential distribution with rate λ. What is the distribution of Y=e
X
−1 ? (Name it!) 4. Suppose that X has a (continuous) Pareto distribution with parameter γ. (i.e.: X∼ Pareto(γ) Find the pdf for the continuous Pareto distribution in your table of distributions) (a) Find the distribution of Y=log(X+1). (Name it!) (b) Find a function g(x) such that Z:=g(X) has an exponential distribution with rate λ.
Answers
In this problem, we are given different probability distributions and we need to find the distribution of a transformed random variable.
1. When X follows a geometric distribution with parameter p, the distribution of Y = X + 1 is called the shifted geometric distribution. The shifted geometric distribution represents the number of trials needed to achieve the first success in a sequence of Bernoulli trials, where the first trial is not counted.
2. When X follows an exponential distribution with rate λ, the distribution of Y = e^(X-1) is called the exponential distribution with a shift. The exponential distribution with a shift represents the time between events occurring in a Poisson process, starting from a specified time point.
3. When X follows a continuous Pareto distribution with parameter γ, the distribution of Y = log(X + 1) is called the shifted logarithmic Pareto distribution. The shifted logarithmic Pareto distribution represents the logarithm of a Pareto-distributed random variable after shifting it by 1.
4. To find a function g(x) such that Z = g(X) has an exponential distribution with rate λ, we can set g(x) = -1/λ * log(x). The transformed random variable Z = g(X) will follow an exponential distribution with rate λ. This is known as the exponential transform.
By identifying the distributions of the transformed random variables, we can understand the characteristics and properties of these distributions based on the given original distributions.
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what is the exact value of the expression? tan(π6) sin(5π3)⋅cos(−3π4)
Answers
The exact value of the expression tan(π/6) sin(5π/3)⋅cos(-3π/4) is -√3/2.
We have tan(π/6). The angle π/6 is equivalent to 30 degrees. The tangent of 30 degrees is √3/3.
We have sin(5π/3). The angle 5π/3 is equivalent to 300 degrees. In the unit circle, the sine value at 300 degrees is -√3/2.
Finally, we have cos(-3π/4). The angle -3π/4 is equivalent to -135 degrees. In the unit circle, the cosine value at -135 degrees is -√2/2.
Multiplying these values together, we have (√3/3) * (-√3/2) * (-√2/2). Simplifying, we get (√3 * √3 * √2) / (3 * 2 * 2) = (√3 * √2) / 12.
Taking the negative sign into account, the final value is -√3/2, which is approximately -0.866.
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What is the surface area of a rectangular prism with a width of 5cm, length
of 4cm and height of 3cm?
Answers
Answer:
It would be 94 cm
Step-by-step explanation:
Answer:
94 cm
Step-by-step explanation:
just googled a rectangular prism calculator
The diameter of a circle is 8 units.What is the radius of the circle? 2 points Your answer Submit
Answers
Hey !!
HERE'S YOUR ANSWER:
Diameter(d)=8 units
radius(r)=8/2=4 units.
So the right answer is 4 units.
Look at the attached picture
Hope it will help you.......
Solve for the value of x in the diagram: Show your work and explain the steps you used to solve.
Answers
Answer:
x = 20
Step-by-step explanation:
The triangles are similar
3 (3+5)
----- = ----------
12 (12+x)
Using cross products
3(12+x) = 12*(3+5)
3(12+x) = 12*8
3(12+x) = 96
Divide by 3
3(12+x)/3 = 96/3
12+x = 32
Subtract 12
12+x-12 =32-12
x = 32-12
x =20
What is the area?
**I will give brainliest to the correct answer**
Answers
Answer:
the answer is 648 bc when you multiply all the answer one at a time you would get 648
a distribution of values is normal with a mean of 93.2 and a standard deviation of 87.4. find p81, which is the score separating the bottom 81% from the top 19%.
Answers
If the distribution of values is normal with a mean of 93.2 and a standard deviation of 87.4. the score separating the bottom 81% from the top 19% is 168.24.
The value of p81, which is the score separating the bottom 81% from the top 19%, can be calculated as follows:
The given, Mean = μ = 93.2
Standard deviation = σ = 87.4
We are supposed to find the score separating the bottom 81% from the top 19% which is nothing but the 81st percentile.
Let X be a random variable with a normal distribution, then the z-score of the 81st percentile is calculated as follows:
z = InvNorm(0.81)
z ≈ 0.8 (by standard normal distribution tables)
The 81st percentile in terms of X is given by:
p81 = μ + zσp81
= 93.2 + 0.8(87.4)p81
p81 = 168.24
Thus, the score separating the bottom 81% from the top 19% is 168.24.
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Order the steps to solve for x:
Answers
Answer:
lolo
Step-by-step explanation:
The equation of circle D is (x + 2)2 + y² = 32.
Select all the points that lie on circle D.
□ (-6,-4)
□ (-2,16)
□ (-4,6)
□ (0,14)
□ (2,4)
Answers
The equation of circle D is (x + 2)2 + y² = 32 then the points (-6,-4) and (-4,6) lie on circle D
The equation of a circle with center (h,k) and radius r is (x - h)² + (y - k)² = r².
This is called the standard form of the equation of a circle.
In the given equation, (x + 2)² + y² = 32, we can see that the center of the circle is (-2, 0) and the radius is √32 = 4√2.
To determine which points lie on the circle, we substitute the x and y coordinates of each point into the equation and check if the equation is true.
If it is true, then the point lies on the circle.
Let us check if (-6, -4) lies on the circle, we substitute x = -6 and y = -4 into the equation:
(-6 + 2)² + (-4)² = 32
(-4)² + (-4)² = 32
16 + 16 = 32
32 = 32
Since the equation is true, (-6, -4) lies on the circle.
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A company offers rectangular pool sizes with the dimensions shown. Each pool includes a deck around it. Write a quadratic function to represent the area of the pool and the deck. If Carolina wants a 15 foot pool with a deck, how many square feet will she need ot have available in her yard?
Answers
The formula for calculating the area of a rectangle is expressed as:
A = LW where
L is the length
W is the width
For the pool
Length = 2x
With = x
Get the equation for the area.
Area = 2x * x
Area = 2x²
Hence the area of the quadratic function that represents the area of the pool is 2x² ft²
For the pool with deck
length = 15 + 2x + 15 = 30+2x
Width = 15 + x + 15 = 30+x
Get the areas of the pool with deck
A 60x+2x= (30+2x)(30+x)
A = 900+30x+60x+2x²
A = 2x²+90x+900
The area of the quadratic function that represents the area of the pool with deck is (2x²+90x+900) ft²
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Mr. Kelly wants to hang “icicle” Christmas lights and wants them to cover exactly from his roof to the top of his window. He really doesn’t want to get up on a ladder to measure so he decides to use some trigonometry. He walks 25 feet away from his house and measures the angle to the top of the window to be 59°. He then measures the angle to the roof to be 66°. How far will the “icicles” be?
Answers
Answer:
≈ 31.657 ft
Step-by-step explanation:
I'm not sure if I interpreted this problem correctly, but:
We are given an AAS triangle, so we should use the Law of Cosines:
\(\frac{cos(x)}{x}=\frac{cos(y)}{y}\)
Looking at the problem, I believe that it should be set up like this:
\(\frac{cos(66)}{25}=\frac{cos(59)}{y}\)
Which we can solve for y:
\(y=\frac{25cos(59)}{cos(66)}=31.657 ft\)
A data set has the following statistical measures.
mean = 10
mode = 4
median = 5
Which of the following is most likely true about the data set?
There is a small outlier.
The data is centered about the mean.
There is a large outlier.
Answers
Answer:
There is a large outlier.
Step-by-step explanation:
Answer:
There is a large outlier which is C.
Step-by-step explanation: