Answer:
A. p=33 B. p=108.5 8. b=30 9. e=1/2 10. g=3/2
Step-by-step explanation:
I posted a picture on how I got each answer
Hope this Helped
Points A, B, and C are collinear. Point B is between point A and point C. Find the length of AB if AB=20+x, BC=2x+31, and AC=18. *
Answer:
ab=9
Step-by-step explanation:
AB=BC
2X+31=20+X
X=-11
ab= 20+(-11)
= 9
bc= 2(-11) +31
=9
ab+bc= ac
9+9=18
The function ƒ(x) = x−−√3 is translated 3 units in the negative y-direction and 8 units in the negative x- direction. Select the correct equation for the resulting function.
The final function after transformations, is \(f(x +8) = \sqrt[3]{x+8} - 3\)
The technique of altering an existing graph or graphed equation to create a different version of the following graph is known as graph transformation. The modification of algebraic equations is a typical form of algebraic problems. Sometimes graphs are translated, or moved about the xy-plane; sometimes they are stretched, rotated, inverted, or a combination of these transformations.
Now, there are 2 different transformations applied to the function here.
First Transformation:
\(f(x) = \sqrt[3]{x}\) is translated 3 units in the negative y direction.
After transformation, the function is \(f(x) = \sqrt[3]{x} - 3\).
Second Transformation:
The function \(f(x) = \sqrt[3]{x} - 3\) is translated 8 units in the negative x direction.
After transformation, the function is \(f(x +8) = \sqrt[3]{x+8} - 3\).
Therefore, the final function, after transformations, is \(f(x +8) = \sqrt[3]{x+8} - 3\).
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Let f (x) = 2x² - 7. After simplifying the difference quotient while using the defin ²+2xh+h²-2² (a.) f'(x) = lim 0 h (b.) f'(x) = lim- x² + 4xh +0 (c.) f'(x) = lim 0 4xh (d.) f'(x) = lim O a Ob Od - 0 4x + 2h
The derivative of the function f(x) = 2x² - 7 is 4x.
To find the derivative of the function f(x) = 2x² - 7 using the difference quotient, let's simplify the difference quotient expression provided:
(f(x + h) - f(x)) / h
We substitute the given expression into the difference quotient:
(2(x + h)² - 7 - (2x² - 7)) / h
Simplifying the numerator:
(2(x² + 2xh + h²) - 7 - 2x² + 7) / h
Combining like terms:
(2x² + 4xh + 2h² - 7 - 2x² + 7) / h
(4xh + 2h²) / h
Now we can simplify the expression by canceling out the common factor of h:
4x + 2h
Therefore, the simplified difference quotient is 4x + 2h.
Now let's determine the derivative f'(x) by taking the limit as h approaches 0:
lim(h -> 0) (4x + 2h)
As h approaches 0, the term 2h approaches 0, leaving us with:
f'(x) = 4x
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Solve this please
Solve
Answer:
x = 9
Step-by-step explanation:
Simplifying
-4 = 5 + -1x
Solving
-4 = 5 + -1x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add 'x' to each side of the equation.
-4 + x = 5 + -1x + x
Combine like terms: -1x + x = 0
-4 + x = 5 + 0
-4 + x = 5
Add '4' to each side of the equation.
-4 + 4 + x = 5 + 4
Combine like terms: -4 + 4 = 0
0 + x = 5 + 4
x = 5 + 4
Combine like terms: 5 + 4 = 9
x = 9
Simplifying
x = 9
Answer: The answer is x=9
Step-by-step explanation: Good afternoon, I got a different step-by-step explanation for you!!! :D Step 1: Simplify both sides of the equation: \(-4=5-x\), \(-4=5+-x\), and \(-4=-x+5\). Step 2. I flipped the equation: \(-x+5=-4\).
Step 3. Subtract 5 from the both sides: \(-x+5-5=-4-5\) to \(-x=-9\).
Last but not least is step 4. Divide the both sides by –1: \(\frac{-x}{-1}=\frac{-9}{-1}\); ∴, your answer should be x=9, I hoped your answer is very helpful, please mark me as brainliest, and have a happy holidays!! :D
What is the quotient of (2x4 – 3x3 – 3x2 7x – 3) ÷ (x2 – 2x 1)?
The quotient of (2x4 – 3x3 – 3x2 7x – 3) ÷ (x2 – 2x 1) is 2x² + x – 3.
What is Quotient ?A quotient is a quantity produced by the division of two numbers.
The quotient is most frequently encountered as two numbers, or two variables, divided by a horizontal line. The words "dividend" and "divisor" refer to each individual part, while the word "quotient" refers to the whole.
For example when 8 is divided by 2, the result obtained is 3. Thus, the quotient is 4.
To determine the quotient when (2x4 – 3x3 – 3x2 + 7x - 3) is divided by (x2 - 2x + 1), we'll apply the long division method as shown below:
2x² + x – 3
x² - 2x + 1|2x⁴ – 3x² – 3x² + 7x - 3
–(2x⁴ – 2x³ + 2x²)
x³ – 5x² + 7x – 3
–(x³ – 2x² + x)
–3x² + 6x – 3
–(3x² + 6x – 3)
0
Thus, the quotient is 2x² + x – 3.
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if x is the exterior angle and 70 and 50 are its opposite interior angle of a triangle find x please help me
Answer:
x = 120
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles, then
x = 70 + 50 = 120
Answer:
X=120
Step-by-step explanation:
exterior angle of triangle is equal to its two opposite interior angles .
hence, X= 70 + 50
= 120
the theatre has 4 chairs in a row. there are 5 rows. how many chairs are there in total.
Answer:
20
Step-by-step explanation:
1111 <--- 1st row
1111 <---- 2nd row
1111 <--- 3rd row
1111 <----- 4th row
1111 <----- 5th row
use multiplication
Given the set of numbers (0, 1, 2, 3, 4, 5, 6, 7, 8), if one of the numbers of the set is chosen at random, find the probability that the number is a solution of 311 3 x < .
Answer:
number is 3. it's very easy
Problem Solving
14. Eight friends divide 3 pizzas
equally. How much pizza does
each friend get?
Answer:
3/8 of a pizza
Tim wants to determine the height, x, of a nearby tree. He stands 35 feet
from the base of the tree. The measure of the angle of elevation from Tim to the top of the
tree is 40 degrees
Answer:
x ≈ 29.4 ft
Step-by-step explanation:
The model is a right triangle.
Using the tangent ratio
tan40° = \(\frac{opposite}{adjacent}\) = \(\frac{x}{35}\) ( multiply both sides by 35 )
35 × tan40° = x , then
x ≈ 29.4 ft ( to 1 dec. place )
a sample obtained in such a way that every element in the population has an equal chance of being selected is called a/an _______ sample.
The correct term for a sample obtained in such a way that every element in the population has an equal chance of being selected is a "random sample."
In a random sample, each member of the population has an equal probability of being chosen, providing a representative subset of the population. This sampling method helps to reduce bias and ensures that the sample is more likely to accurately reflect the characteristics of the entire population.
Random sampling is a fundamental principle in statistics and research, allowing for generalizations and inferences to be made about the population based on the characteristics observed in the sample. It is widely used in various fields, such as social sciences, market research, and opinion polls, to draw meaningful conclusions about a larger population.
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Identify the surfaces with the given vector equations describes r(u, v) = (u, 4v, u^2 - v^2) describes r(u, v) = (sin(u), v, 3 cos(v)) describes r(s, t) = 5si + (5 + t - 4) j + tk describes r(s, t) = t sin(s) i + 5t^2j + t cos(s) k
The surfaces described by the given vector equations are:
1.The surface is a hyperbolic paraboloid.
2.The surface is a part of a cylinder with radius 3 and axis parallel to the y-axis.
3.The surface is a plane parallel to the xy-plane and shifted upwards by 1 unit.
4.The surface is a twisted cylinder along the y-axis.
A vector equation of a surface in three-dimensional space is a function that maps a pair of parameters, say u and v, to a three-dimensional point in space (x, y, z) represented as a vector. The vector equation can be written in the form of r(u, v) = <x(u, v), y(u, v), z(u, v)>.
In general, there are different ways to represent the same surface using vector equations. For example, the surface of a sphere of radius r centered at the origin can be represented by the vector equation r(u, v) = <r sin(u) cos(v), r sin(u) sin(v), r cos(u)>, where u is the polar angle (measured from the positive z-axis) and v is the azimuthal angle (measured from the positive x-axis).
Vector equations can be useful in studying the geometry and properties of surfaces, such as determining their tangent planes, normal vectors, curvature, and surface area. They can also be used to parametrize surfaces for numerical calculations and simulations.
The surfaces described by the given vector equations are:
1.The surface is a hyperbolic paraboloid.
2.The surface is a part of a cylinder with radius 3 and axis parallel to the y-axis.
3.The surface is a plane parallel to the xy-plane and shifted upwards by 1 unit.
4.The surface is a twisted cylinder along the y-axis.
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Consider Z~N(0,1) Which ofthe following statements are true? Select all that apply: For 2 < 0; P(Z < 2) < 030 P(Z < 0) = 0.50 P(Z > 0) = 0.0 For z > 0,P(Z < 2) < 0.50 For z > 0; P(Z < 2)>050 P(Z > 0) = P(Z < 0) =0 For z < 0, P(Z < 2)>050 QUESTION Consider the pth percentile of continuous random variable. Which of the following statements are alwvays true? Select all that apply: The area under the curve to the left of the pth percentile is equal to p The area under the curve to the left of the pth percentile is equal to (1-p) The area under the curve to the right ofthe pth percentile is equal to (I-P) The area under the curve to the right of the pth percentile is equal to p The pth percentile is positive_
The true statements are:
The area under the curve to the left of the pth percentile is equal to p
The area under the curve to the right of the pth percentile is equal to (1-P)
For the first set of statements regarding the standard normal distribution:
1. For z < 0; P(Z < 2) < 0
- This statement is true. Since z < 0, the probability of Z being less than 2 (a positive value) is less than 0.
2. P(Z < 0) = 0.50
- This statement is true. For the standard normal distribution, the probability of Z being less than 0 is 0.50 or 50%.
3. P(Z > 0) = 0.0
- This statement is false. The probability of Z being greater than 0 is not 0.0 but rather 0.50 or 50%.
4. For z > 0, P(Z < 2) < 0.50
- This statement is true. When z is positive, the probability of Z being less than 2 is less than 0.50.
5. For z > 0, P(Z < 2) > 0.50
- This statement is false. When z is positive, the probability of Z being less than 2 is always less than 0.50.
6. P(Z > 0) = P(Z < 0) = 0
- This statement is false. The probability of Z being greater than 0 and less than 0 is both 0.50 or 50%.
Therefore, the true statements are:
- For z < 0; P(Z < 2) < 0
- P(Z < 0) = 0.50
- For z > 0, P(Z < 2) < 0.50
For the second set of statements regarding the pth percentile of a continuous random variable:
1. The area under the curve to the left of the pth percentile is equal to p
- This statement is true. The pth percentile represents the value below which a certain percentage (p) of the data falls.
2. The area under the curve to the left of the pth percentile is equal to (1-p)
- This statement is false. The area to the left of the pth percentile is equal to p, not (1-p).
3. The area under the curve to the right of the pth percentile is equal to (1-P)
- This statement is true. The area to the right of the pth percentile is equal to (1 - p).
4. The area under the curve to the right of the pth percentile is equal to p
- This statement is false. The area to the right of the pth percentile is equal to (1 - p), not p.
5. The pth percentile is positive
- This statement's validity depends on the specific distribution being considered. The pth percentile could be positive, negative, or zero, depending on the distribution.
Therefore, the true statements are:
- The area under the curve to the left of the pth percentile is equal to p
- The area under the curve to the right of the pth percentile is equal to (1-P)
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I need help with this fast
a curve is defined by the parametric equations x(t)=at and y(t)=bt, where a and b are constants. what is the length of the curve from t=0 to t=1 ?
The length of the curve from t=0 to t=1 is √1
How to determine the lengthThe length of a curve defined by the parametric equations x(t) = at and y(t) = bt,
With a and b as the constant values, we have;
L = \(\sqrt{(a^2 + b^2)}\)
To determine the length, we have to find the value of the derivative, we have;
dx / dt = a
dy / dt = b
Use the arc length formula to find the length of the curve:
L =\(\int\limits^0_1 {\sqrt{(\frac{dx}{dt} )^2} + (\frac{dy}{dt})^2 } \, dx\)
We have;
=\(\int\limits^0_1 {\sqrt{a^2 + b^2} } \, dt\)
= \(\sqrt{a^2 + b^2}\)
Therefore, the length of the curve is given by the formula:
L = \(\sqrt{(0)^2 + (1)^2}\)
L = √1
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An elephant sleeps about 15% of the day. What fraction of a day does an elephant sleep?
Answer:
3.6 hours
Step-by-step explanation:
15% of 24 hours = 3.6 hours
Answer
3.6 hours
Step-by-step explanation:
15% of 24 hours is 3.6 hours
0.15*24
Brainlist please
Grogg draws triangle ABC. Side BC is 4 inches shorter than side AB. and side AC is 6 inches longer than side BC. The perimeter of the triangle is 31 inches. What is the length of side AB?
Answer:
AB = 11
Step-by-step explanation:
AB = x
BC = x - 4
AC = 6 + BC Substitute BC
AC = 6 + (x - 4)
AC = 2 + x
The perimeter of the triangle is 31
Perimeter = AB + BC + AC perimeter is the sum of the sides
31 = (x )+ (x - 4 ) + (2 + x)
31 = 3x - 2
33 = 3x
11 = x
AB = x = 11 inches
Check:
AB = x ; AB = 11
BC = x - 4; BC = 11 - 4; BC = 7
AC = 2 + x; AC = 2 + 11; AC = 13
P = 11 + 7 + 13
= 31
What is 8 1/3 - 3 1/2?
Answer:
4 5/6
Step-by-step explanation:
Turn both 8 1/3 and 3 1/2 into improper fractions (just to make it less complicated).
8 1/3 = 25/3
3 1/2 = 7/2
Then, try and make the denominators the same by finding the LCD (least common denominator).
The least common denominator of 3 and 2 is 6. Multiply both the denominators (3 and 2) to get 6, multiply the numerator with it as well (I can't explain this part properly, but the fractions will somehow explain).
\(\frac{25*2}{3*2}\) = \(\frac{50}{6}\)
\(\frac{7*3}{2*3}\) = \(\frac{21}{6}\)
So, then subtract (50/6 - 21/6).
50/6 - 21/6
= 29/6 = 4 5/6
So, 8 1/3 - 3 1/2 is 4 5/6.
Betty has 42 butterfly stickers, as shown below.
She puts an equal number of stickers on each of 6 pages in her sticker book.
How many stickers does Betty put on each page in her sticker book?
Answer:
7
Step-by-step explanation:
42/6=7
A polar bear was sitting on the top of an ice float that was 2.5 meters above the surface of the water. The polar bear dove 6.5 meters from the top of the float into the water to catch a seal. Relative to the surface of the water, which equation best represents how far below the surface the polar bear dove?
Answer:
Step-by-step explanation:
Let the surface of the water be at 0m
If a polar bear was sitting on the top of an ice float that was 2.5 meters above the surface of the water, the distance between the ice float and the surface of the water will be:
= 2.5 - 0
= 2.5m
If the polar bear dove 6.5 meters from the top of the float into the water to catch a seal, to get the distance between the bear under the water to the sea level, we will use the expression:
2.5 + x = 6.5
Subtract 2.5 from both sides
2.5+x -2.5 = 6.5-2.5
x = 4.0m
Hence the equation that best represents how far below the surface the polar bear dove is 2.5 + x = 6.5 where x is the distance between the polar bear below and the surface of the water
find the value of -
\(( {x}^{2} - x)\)
where, x = 5
Step-by-step explanation:
(x^2 -x)=(5^2-5)
=25-5 =20
Answer:
(x²-x)=(5²-5)
=(25-5)
=(20)ans..............
The numerator and denominator of a fraction are in the ratio of 3 to 5. If the numerator and denominator
are both increased by 2, the fraction is now equal to 2/3
If n = the numerator and d = the denominator, which of the following systems of equations could be used
to solve the problem?
3n = 5d and 3n + 6 = 2d + 4
5n = 3d and 3n + 6 = 2d + 4
5n = 3d and 4n + 4 = 3d + 6
Answer: 5n = 3d and 3n + 6 = 2d + 4
Given that the numerator and denominator of a fraction are in the ratio of 3 to 5. When the numerator and denominator are both increased by 2, the fraction is equal to \dfrac{2}{3}.
We are to select the system of equations that could be used to solve the problem.
Since n denotes the numerator and m denotes the denominator of the given fraction, so we have:
n/d = 3/5
5n = 3d
and(n+2)/(d+2) = 2/3
3(n+2) = 2(d+2)
3n + 6 = 2d + 4
Thus, the required system of equations is,
5n = 3d and 3n + 6 = 2d + 4
Brainliest pweaseee if the answer is clear and correct! <3 ~~~
What is thee 5th and 23rd term of the pattern 2x+1, 8x-2, and -6.2x+4.5?
Answer:
5th term is 9, 30, and -20.3 and the 23rd term is 45, 174, and -132.9
Step-by-step explanation:
The given pattern consists of three mathematical expressions: 2x + 1, 8x - 2, and -6.2x + 4.5. To find the 5th and 23rd term of the pattern, we need to substitute x with the corresponding value and evaluate the expressions for each of the terms.
For the 5th term:
x = 5-1 = 4
So, the 5th term would be:
2x + 1 = 2 * 4 + 1 = 9
8x - 2 = 8 * 4 - 2 = 30
-6.2x + 4.5 = -6.2 * 4 + 4.5 = -24.8 + 4.5 = -20.3
For the 23rd term:
x = 23-1 = 22
So, the 23rd term would be:
2x + 1 = 2 * 22 + 1 = 45
8x - 2 = 8 * 22 - 2 = 174
-6.2x + 4.5 = -6.2 * 22 + 4.5 = -136.4 + 4.5 = -132.9
Therefore, the 5th term is 9, 30, and -20.3 and the 23rd term is 45, 174, and -132.9 for the given pattern of mathematical expressions.
please help quickly !
Answer:
A
Step-by-step explanation:
Answer:
x- 41.5 = 13.5
Step-by-step explanation:
The normal rate is x and the sick rate is 41.5
The difference is 13.5
x- 41.5 = 13.5
“It takes the Earth 24 hours to complete a full rotation. It takes Mercury approximately 58 days, 15 hours, and 30 minutes to complete a full rotation. How many hours does it take Mercury to complete a full rotation? Show your work using the correct conversion factors”
Based on earth time:
1 day = 24 hours
1 hr = 60 minutes
Let's convert the given information regarding Mercury's rotation into hours only. Let's start with 58 days first.
\(58\text{days}\times\frac{24hrs}{1\text{day}}=1,392hrs\)Hence, 58 days equals 1,392 hrs.
Moving on to the next given information that is 15 hours, no need to convert this to hours because it is already in hours.
To the next given information that is 30 minutes, let's convert this to hours.
\(30mins\times\frac{1hr}{60mins\text{ }}=0.5hr\text{ }\)30 minutes is equal to half an hour or 0.5 hr.
From those converted data, we have:
\(\begin{gathered} =58days+15hrs+30mins\text{ } \\ =1,392hrs+15hrs+0.5hrs\text{ } \\ =1,407.5hrs\text{ } \end{gathered}\)It takes Mercury 1,407.5 hrs to do a full rotation.
d/dx(pu δ) = d/dx (rd δ/dx)
Integrate the 1D steady state convection diffusion equation over a typical cell. Use the nomenclature from class.
The first term on the left-hand side represents the flux of the quantity D(pu δ) across the cell boundaries, and the second term represents the change of this flux within the cell.
To integrate the 1D steady-state convection-diffusion equation over a typical cell, we can start with the given equation:
D/dx(pu δ) = d/dx (rd δ/dx)
Here, D is the diffusion coefficient, p is the velocity, r is the reaction term, u is the concentration, and δ represents the Dirac delta function.
To integrate this equation over a typical cell, we need to define the limits of the cell. Let's assume the cell extends from x_i to x_i+1, where x_i and x_i+1 are the boundaries of the cell.
Integrating the left-hand side of the equation over the cell, we have:
∫[x_i to x_i+1] D/dx(pu δ) dx = D∫[x_i to x_i+1] d(pu δ)/dx dx
Using the integration by parts technique, the integral can be written as:
= [D(pu δ)]_[x_i to x_i+1] - ∫[x_i to x_i+1] d(D(pu δ))/dx dx
Similarly, integrating the right-hand side of the equation over the cell, we have:
∫[x_i to x_i+1] d/dx (rd δ/dx) dx = [rd δ/dx]_[x_i to x_i+1]
Combining the integrals, we get:
[D(pu δ)][x_i to x_i+1] - ∫[x_i to x_i+1] d(D(pu δ))/dx dx = [rd δ/dx][x_i to x_i+1]
This equation can be further simplified and manipulated using appropriate boundary conditions and assumptions based on the specific problem at hand.
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How do you write three consecutive even numbers?.
Three consecutive even integers can be written with difference of two.
The even integers are defined as the numbers that are completely divisible by two. The complete division means that the result of division will be zero. The even integers are always present after a gap of one number in between.
This means that there is a difference of two numbers between integers. Firstly of all, the first even number is two. Following it four. There is a gap of number that is three. Hence, to find the consecutive even integers, add number two to the number.
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Find the measurement of 1 and 2
Answer: 1 is 120 and 2 is 60
Step-by-step explanation:
The net of a square pyramid and its dimensions are shown in the diagram. What is the total surface area of the pyramid in square meters?
Answer: the general formula for the total surface area of a regular pyramid isbT. S. A. =12pl+B where p represents the perimeter of the base
Storyboards are a helpful part of the design process because the storyboard develops
A) A pseudocode description of the algorithm being designed
B) The mathematical formulas required for computing a correct answer
C) What information is needed to solve the problem, and how to present that information
D) The amount of time and space it will require to find a solution
The correct option among the four options that are given in the question is option C. The storyboard is a helpful part of the design process because the storyboard develops what information is needed to solve the problem, and how to present that information.
What is a storyboard?
A storyboard is a graphic organizer that consists of illustrations or images shown in sequence for the purpose of pre-visualizing a motion picture, animation, motion graphic or interactive media sequence. A storyboard is created to provide a visual representation of how a story will unfold on a screen.Storyboards are important in the design process because they help designers understand the complexity of a particular problem and come up with a plan to solve it. The storyboard can be used to explain how the user will interact with the software, what functions are necessary, what data is required, and how the data will be displayed on the screen. Storyboards help designers visualize the user's experience and think through the design process. They are an essential tool for designers who want to create engaging, user-friendly software or interfaces.
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