Answer:
-6
Step-by-step explanation:
All points of the step function f(x) are graphed.
On a coordinate plane, a step graph has horizontal segments that are each 2 units long. The left end of each segment is an open circle. The right end of each segment is a closed circle. The left-most segment goes from (negative 4, 1) to (negative 2, 1). Each segment is 1 unit higher and 2 units farther to the right than the previous segment. The right-most segment goes from (2, 4) to (4, 4).
What is the domain of f(x)?
{x| –4 < x ≤ 4}
{x| –3 < x ≤ 4}
{x| 1 < x ≤ 4}
{x| 2 < x ≤ 4}
Answer:
A. {x| –4 < x ≤ 4}
Step-by-step explanation:
Answer:
{x| –4 < x ≤ 4}
Step-by-step explanation:
Edge Quiz 2023
identify the surface whose equation is given. rho2(sin2(φ) sin2(θ) + cos2(φ)) = 81
The equation involves both sin²(φ) and cos²(φ), as well as sin²(θ), which indicates that the surface has a more complex shape, possibly involving rotational symmetry.
To identify the surface whose equation is given as ρ²(sin²(φ) sin²(θ) + cos²(φ)) = 81, we can follow these steps:
Rewrite the equation
We have the equation: ρ²(sin²(φ) sin²(θ) + cos²(φ)) = 81
Isolate ρ²
We can rewrite the equation as: ρ² = 81 / (sin²(φ) sin²(θ) + cos²(φ))
Find ρ
Take the square root of both sides to find ρ: ρ = √(81 / (sin²(φ) sin²(θ) + cos²(φ)))
The given equation represents a surface in spherical coordinates (ρ, φ, θ). Since ρ (the radial distance) is expressed in terms of φ and θ, the surface is not a simple sphere or ellipsoid. The equation involves both sin²(φ) and cos²(φ), as well as sin²(θ), which indicates that the surface has a more complex shape, possibly involving rotational symmetry.
However, without further information, it's difficult to provide a specific name for this type of surface.
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even though emilio writes neatly and legibly, it takes him a very long time to write a few sentences. which strategy may help emilio to write more fluently?
One strategy that may help Emilio write more fluently is practicing speed writing or shorthand techniques.
Practicing speed writing or shorthand techniques can help Emilio increase his writing speed without sacrificing legibility. Speed writing involves using abbreviations, symbols, and shortcuts to represent words or phrases, allowing for faster transcription of thoughts onto paper.
Shorthand systems, such as Gregg shorthand or Pitman shorthand, provide structured methods for condensing words and phrases into simplified symbols.
By learning and practicing speed writing or shorthand techniques, Emilio can improve his writing efficiency and reduce the time it takes to write a few sentences. This strategy allows him to maintain neatness while increasing his writing speed, enabling him to express his thoughts more fluently.
With regular practice and familiarity, Emilio will become more comfortable with the shorthand system and experience a significant improvement in his writing speed and fluency.
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To solve the separable equation dt the first thing the students did was to O integrate both sides with respect to M. O integrate both sides with respect to t. o differentiate the left hand side and then integrate the right hand side. O move all terms with M to the left, and all terms with t to the right.
In order to solve separable equation "dM/dt = a - k₁M", the first thing students did was to (d) move all terms with M to the left, and all terms with t to the right.
In the separable differential equation dM/dt = a - k₁M, the goal is to rearrange the equation so that all terms involving M are on one side and all terms involving t are on the other side. This allows for the separation of variables, which is a common approach to solving separable equations.
By moving all terms with M to the left and all terms with t to the right, we obtain dM/(a - k₁M) = dt. This rearrangement is essential as it separates the variables M and t.
After this rearrangement, we integrate both sides separately. Integrating the left-hand side with respect to M and the right-hand side with respect to t allows us to find the antiderivatives and solve the equation. This results in the solution of the separable differential equation.
Therefore, the correct option is (d).
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The given question is incomplete, the complete question is
To solve the separable equation dM/dt = a - k₁M, the first thing the students did was to
(a) integrate both sides with respect to M.
(b) integrate both sides with respect to t.
(c) differentiate the left hand side and then integrate the right hand side.
(d) move all terms with M to the left, and all terms with t to the right.
The surface area of sphere T is 452.16 units squared. The surface area of sphere X is 1,808.64 units squared. How many times larger is the radius of sphere X than the radius of sphere T
Answer:
Step-by-step explanation:
Comment
The surface area for a sphere is 4 pi * r^2
Givens
Surface Area X = 1808.64
Surface Area T = 452.16
Solution
Sphere X
Surface Area = 4 pi r^2
Surface Area X = 4 * 3.14
1808.64 = 12.56 * r^2 Divide both sides by 12.56
1808.64/12.56 = 12.56 r^2/12.56
r^2 = 144 Take the square root of both sides
√^2 = √144
r = 12
Sphere T
Surface Area = 4 pi r^2
452.16 = 12.56 r^2 Divide by 12.56
452.16 / 12.56 = 12.56 r^2/12.56
r^2 = 36 Take √ of both sides
√r^2 = √36
r = 6
Conclusion
radius x: radius T :: 12/6
radius x: radius T :: 2/1
Ariel collected information about mockingbirds for a science project.
Times (s) 30 90 150
Number of Wing beats 420 1,260 2,100
How many times will a mockingbird beat its wings in 2 minutes? Enter the number in the box.
Answer:
420/30=14 beats per second, meanin 1680 beats is your answer.
Step-by-step explanation:
Matt brought $29.25 to the art supply store. He bought a brush, a sketchbook, and a paint set.
The brush was 1/6 as much as the sketchbook, and the sketchbook cost 3/4 the cost of the paint set.
Matt had $3.00 left over after buying these items.
The cost of the paint set is $14
What is the cost of the paint set?Let:
p = cost of the paint setcost of the sketch book = 3/4p cost of the brush = 1/6(3/4p) = 1/8p$29.25 = p + 3/4p + 1/8p + 3
$29.25 - $3 = p + 3/4p + 1/8p
$26.25 = 15/8p
p = (26.25 x 8) / 15
p = $14
Here is the complete question:
Matt brought $29.25 to the art supply store. He bought a brush, a sketchbook, and a paint set.
The brush was 1/6 as much as the sketchbook, and the sketchbook cost 3/4 the cost of the paint set.
Matt had $3.00 left over after buying these items. What is the cost of the paint set?
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Which graph represents the inequality \(y\ge-x^2-1\)?
I'm sorry but i can't help with this BUT i can give you a graph calculator
You can use Desmos graphing calculator to plot the inequality (y\ge-x^2-1).
h t t p s : / /w w w . d e s m o s. c o m / c a l c u l a t o r
Book-club members are required to buy a minimum number of books each year. Leslee bought 3 times the minimum. Denise bought 7 more than the minimum. Together, they bought 23 books. What is the minimum number of books?
Answer: 4 books
Step-by-step explanation:
x = minimum number of book
Leslee
= 3x (bought 3 times the minimum)
Denise
= x + 7 (bought 7 more than the minimum)
Together
= (3x) + (x + 7)
(3x) + (x + 7) = 23 (books they bought together)
3x + x + 7 = 23
3x + x = 23 - 7 (isolate the like variables together)
4x = 16 (divide both sides by 4)
x = 4
4 is the minimum number of books
To check:
3(4) + (4+7)
12 + 11 = 23
If Cos A = 9/41 and tan B = 28/45 angle A and B are in quadrant I find the value of Tan(A+B)
A defendant is being prosecuted in federal court for illegally transporting persons across state lines for immoral purposes. The prosecutor alleges that her route was from New York to Tampa. The court takes judicial notice of the fact that it is impossible to get from New York to Tampa without crossing a state line. What is the effect of the court's action
The court's action of taking judicial notice that it is impossible to travel from New York to Tampa without crossing a state line has the effect of establishing a fact without requiring formal proof during the trial.
Judicial notice is a legal doctrine that allows a court to accept certain facts as true without requiring formal evidence or proof. In this case, the court has taken judicial notice of the fact that it is impossible to travel from New York to Tampa without crossing a state line. By doing so, the court treats this fact as common knowledge that does not need to be proven during the trial. This means that the prosecutor does not have to provide specific evidence or arguments to establish the element of crossing state lines, as it is considered an indisputable fact in this particular case. The court's action simplifies the proceedings by accepting this fact without requiring further substantiation.
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WILL GIVE BRAINLIEST PLEASE HELP ASAP
The stem-and-leaf plot displays data collected on the size of 15 classes at two different schools.
(See the chart in the photo)
Key: 2 | 1 | 0 means 12 for Mountain View and 10 for Bay Side
Part A: Calculate the measures of center. Show all work.
Part B: Calculate the measures of variability. Show all work.
Part C: If you are interested in a larger class size, which school is a better choice for you? Explain your reasoning.
Please give a clear straight up answer
The solution to all three parts is shown below.
Part A:
For Mountain View School:
Mean = (12+18+19+21+23+24+24+25+25+26+27+28+30)/13 = 23
Median = 24
Mode = 24 and 25
For Bay Side School:
Mean = (5+6+8+10+12+14+15+16+18+20+20+22+23+25+42)/15 = 17.4
Median = 16
Mode = 20
For Mountain View School:
Range = 30-12 = 18
Interquartile Range (IQR) = Q3-Q1 = 27-21 = 6
Variance = [(12-23)² + (18-23)² + ... + (30-23)²]/13 = 32.92
Standard Deviation = √(Variance) = 5.74
For Bay Side School:
Range = 42-5 = 37
Interquartile Range (IQR) = Q3-Q1 = 22-10 = 12
Variance = [(5-17.4)² + (6-17.4)² + ... + (42-17.4)²]/15 = 194.16
Standard Deviation = √(Variance) = 13.93
Part C:
If someone is interested in a larger class size, they should choose Mountain View School as it has a higher mean and median class size compared to Bay Side School.
However, if they also want more variability in class size, they should choose Bay Side School as it has a larger range and standard deviation.
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a sample size 50 will be drawn from a population with mean 73 and standard deviation 8. find the 19th percentile of x bar
The 19th percentile of x bar is 71.724.
Since the sample size is greater than 30 and the population standard deviation is known, we can use the normal distribution to find the 19th percentile of x bar.
First, we need to find the standard error of the mean (SEM):
SEM = σ/√n = 8/√50 = 1.1314
Next, we need to find the z-score associated with the 19th percentile. We can use a standard normal distribution table or a calculator to find this value, which is approximately -0.877.
Finally, we can use the formula for a confidence interval to find the value of x bar associated with the 19th percentile:
x bar = μ + z*SEM = 73 + (-0.877)*1.1314 = 71.724
Therefore, the 19th percentile of x bar is approximately 71.724.
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Use polar coordinates to find the volume of the given solid.
Enclosed by the hyperboloid −x2 − y2 + z2 = 6 and the plane z = 3
-x2 - y2 + 9 = 6 >>> x2 + y2= 3 so r2 = 3 >>> squart 0<=r <=3
My question is that why negative square root of 3 is not included in the range???
In polar coordinates, the radial distance "r" is defined as the distance from the origin to a point in the plane. Since distance cannot be negative, we only consider the positive square root of 3 in the range for this problem. So, the correct range for "r" is 0 ≤ r ≤ √3, and negative square root of 3 is not included because it doesn't represent a valid distance in polar coordinates.
To find the volume of the given solid enclosed by the hyperboloid −x2 − y2 + z2 = 6 and the plane z = 3 using polar coordinates, we need to express the equation of the hyperboloid in terms of polar coordinates.
Substituting x = rcosθ and y = rsinθ, we get:
−r2cos2θ − r2sin2θ + z2 = 6
Simplifying, we get:
z2 = 6 - r2
Since the plane z = 3 intersects the hyperboloid, we have:
3 = √(6 - r2)
Solving for r, we get:
r = √3
Hence, the range for r is 0 ≤ r ≤ √3.
In summary, the negative square root of 3 is not included in the range of r because r represents a distance and cannot be negative. The volume of the solid can be found by integrating the function f(r,θ) = √(6 - r2) over the range 0 ≤ r ≤ √3 and 0 ≤ θ ≤ 2π using polar coordinates. The result will be in cubic units and can be obtained by evaluating the integral.
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Like terms are terms with the same
Like terms are terms with the same
A
constant.
B
variables and different exponents.
C
variable and exponent.
D
multiple.
Answer:
C
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Felicia drew a triangle with side lengths that measured 15 cm, 18 cm and 27 cm. To determine if Felicia drew a right triangle, she can use the equations. Group of answer choices 15‾‾‾√+18‾‾‾√=27‾‾‾√ 15 + 18 = 27 15‾‾‾√+18‾‾‾√=27‾‾‾√ 15 + 18 = 27 152+272=182 15 2 + 27 2 = 18 2 152+272=182 15 2 + 27 2 = 18 2 15+18=27 15 + 18 = 27 15+18=27 15 + 18 = 27 182+152=272
Answer: 18² + 15² = 27²
Step-by-step explanation:
The side lengths of the triangle are 15cm, 18cm and 27cm. To know if it's a right angle triangle, the square of the length of the longest side which is the hypothenuse must be equal to the square of the two other sides. This will be:
18² + 15² = 27²
324 + 225 = 729
549 = 729
Since the answers gotten isn't equal, it is not a right angle triangle.
Find the slope of each line and graph.
y = -8/5x + 4
Answer:
The slope of the line is -8/5. The graph should be shown below
Step-by-step explanation:
Which expression is a factor of the expression 20c3+540y3
factor 20 out of 20cx*3 =540y*3
so you get 20(cx*3=540y*3) if that is what you are looking for
1/2n+3=6 help me out i dont know this
Answer:
n=6
Step-by-step explanation:
On a coordinate plane, a v-shaped line crosses the x-axis at (negative 2, 0), the y-axis at (0, negative 2), and the x-axis at (2, 0). What is the domain of the function on the graph?
Answer:
b
Step-by-step explanation:
i did the test and I got the answer right here after being corrected so yah.
Answer:
All real numbers
Step-by-step explanation:
helpppp!!!!!!!!!!! i’m so confused
Answer:
first thing: 1/2=2/4
then we change -3/4+1/2 to -3/4+2/4 (it's the same thing)
then it's gonna be -3+2/4
answer= -1/4
Check all that apply. 4x² - 81 = 0 A. B. D. T C. 9 E. gle 1 Nia GIN F. -9
Answer:
x = 9/2 = 4.5
Step-by-step explanation:
\(4x ^{2} - 81 = 0 \\ 4 {x}^{2} = 0 + 81 \\ 4 {x}^{2} = 81 \\ {x}^{2} = \frac{81}{4} \\ x = \sqrt{ \frac{81}{4} } \\ \boxed{x= \frac{9}{2}} \\ \boxed{x = 4.5}\)
__________
hope this helps!
HELPPP DUE IN 10 more min PlEaSe NO LINKS!
The first 150 attendees at a baseball game each received a free baseball bat. If this represented 30% of the total game attendance, how many people attended the game? *
Use substitution to solve the system of equations algebraically.
x² + y² = 32
y = x
One solution to the system of equations is (4,4).
The other solution to the system of equations is
Answer:
(-4,-4)
Step-by-step explanation:
Since y=x,plug in x for y in equation 2
x²+x²=32
2x²=32
x²=16
x=√16=±4
So one solution is (4,4) and another is (-4,-4)
Answer:
i really cant tell you
Step-by-step explanation:
sorry
please help
Find the slope of the line passing through the points (0, 2) and (1, -1)
**NOTE: Use the slope formula to find the slope: m=y2−y1x2−x1
the line passing through (0,2) and (1, -1)
Answer:
m= -3
Step-by-step explanation:
You should do m = -1 - 2 x 1 - 0 which equals m = -3
CJ wrote several pairs of values that he thought were
equivalent. Which of his equations are correct? Pick all that
apply.
1.25 = 125%
0.03 = 30%
0.001 = 1%
60%
50%
22 23 를
66.6%
Guys I need help I’m gonna fail math
Answer:
125% correct
3/5 correct
2/3 correct
Step-by-step explanation:
Here, we want to pick the appropriate conversion from percentage to fraction:
To convert from percentage to fraction, we simply divide by 100
125% = 125/100 = 1.25 correct
30% = 30/100 = 0.3 not 0.03 wrong
1% = 1/100 = 0.01 not 0.001 wrong
60% = 60/100 = 3/5 correct
50% = 50/100 = 1/2 not 1/4 wrong
2/3 = 2/3 * 100 = 200/3 = 66.66667% correct
Answer:
B.C,D
Step-by-step explanation:
NEED HELP!!!
WITH PROBLEM
Answer:
x=32 hope it helps, if it does can i get 5.0 or brainliest
Step-by-step explanation:
The tetrahedron enclosed by the coordinate planes and the plane 2x + y + z =4
volume= 16/3, A coordinate plane is a graphing and description system for points and lines. A vertical (y) axis and a horizontal (x) axis make up the coordinate plane. There are four quadrants in the coordinate plane. The point where these lines connect is called the origin (0, 0).
limits
z= 0 to z = 4-y-2x
y= 0 to y = 4- 2x
x= 0 to x= 2
volume
v= \(\int\limits^2_0 \int\limits^4_0 \int\limits^4_0 dzdydx\)
v= \(\int\limits^2_0 \int\limits^4_0 (4-y-2x) dydx\)
v= \(\int\limits^2_0 ( 4y- y^{2} / 2 - 2xy) ^4^-^2^x _0\)
dx= \(\int\limits^2_0 [ 16-8x - 16+ 4x^2 - 16x / 2 - 8x+ 4x^2 ] dx\)
v= \(\int\limits^2_0 [ 8+ 2x^2- 8x] dx\\\)
= [ 8x + 2x^3 / 3 - 8x^2 / 2 ] ^2_0
= [16+ 16/3- 16]
v= 16/3
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Complete Question
Question: Sketch The Tetrahedron Enclosed By The Coordinate Planes And The Plane 2x+Y+Z=4. Use A Triple Integral To Find The Volume Of The tetrahedron
Select all of the rigid motions below.
reflection
translation
dilation
rotation
station