Answer:
greater
Step-by-step explanation:
the reason is because if you allow x to have a value that is less than 3,
\( \sqrt{x - 3} \)
will produce a square root of a negative number, and the square root of a negative number requires the use of imaginary numbers, therefore limiting x to greater than or equal to 3 prevents this, also, consideration should be given to the fraction
\( \frac{3}{x + 2} \)
if x has a value of -2 it causes the denominator of the fraction to be 0, the denominator should never be 0, by limiting x to greater than 3 to prevent the problem above you are already taking care of x not being able to be -2 since greater than 3 already excludes -2
A bookcase is 42 inches wide and has three shelves on it. If most of your books are 1.5 inches thick , About how many could you fit in the bookcase
Answer:
the answer is 80. at least that's what my answer came too and i passed my exams.
Solve the inequality
3n + 2 > 17
Answer:
n > 5
Step-by-step explanation:
Answer:
3n + 2 > 17
Step-by-step explanation:
3n + 2 > 17
-2 -2
3n > 15
÷3 ÷3
n > 5
Two sides of a parallelogram are 200 feet and 580 feet. The measure of the angle between these sides is 112°. Find the area of the parallelogram to the nearest square foot.
Answer:
Area of the parallelogram = 107,555 square feet
Step-by-step explanation:
Let
h = height of the parallelogram
sin (112°) = h/200 feet
h = sin(112°) × 200
h = 0.927184 × 200
= 185.4368 feet
h = 185.44 feet
Area of the parallelogram = base × height
= 580 feet × 185.44 feet
= 107,555.2 square feet
To the nearest square root = 107,555 square feet
Area of the parallelogram = 107,555 square feet
Please help need by tomorrow it would be very very very appreciated
The linear inequality for the graph in this problem is given as follows:
y ≥ 2x/3 + 1.
How to define a linear function?The slope-intercept equation for a linear function is presented as follows:
y = mx + b
In which:
m is the slope.b is the intercept.The graph crosses the y-axis at y = 1, hence the intercept b is given as follows:
b = 1.
When x increases by 3, y increases by 2, hence the slope m is given as follows:
m = 2/3.
Then the linear function is given as follows:
y = 2x/3 + 1.
Numbers above the solid line are graphed, hence the inequality is given as follows:
y ≥ 2x/3 + 1.
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use the data in the table to create the standard form of the function that models this situation, where a, b, and c are constants
Answer:
we need a table to solve this
Step-by-step explanation:
Suppose that 30% of bicycles stolen in a community are recovered. What is the probability that, at least one bike out of 7 randomly selected cases of stolen bicycles is recovered? Find the nearest answer.
A; 0.247
B; 0.918
C; 0.082
D; 0.671
The probability that at least one bike out of 7 randomly selected cases of stolen bicycles is recovered is approximately 0.918.
To find this probability, we can use the complement rule. First, we need to determine the probability that none of the 7 bikes is recovered. Given that the probability of one bike being recovered is 0.3, the probability of one bike not being recovered is 0.7. Using this, we can calculate the probability of none of the 7 bikes being recovered as follows:
P(none recovered) = P(not recovered) x P(not recovered) x ... (7 times)
P(none recovered) = 0.7 x 0.7 x ... (7 times)
P(none recovered) = 0.7^7
P(none recovered) = 0.082
Next, we can use the complement rule to find the probability that at least one bike out of the 7 is recovered:
P(at least one recovered) = 1 - P(none recovered)
P(at least one recovered) = 1 - 0.082
P(at least one recovered) = 0.918
Therefore, the probability that at least one bike out of 7 randomly selected cases of stolen bicycles is recovered is approximately 0.918, which is closest to option B (0.918).
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2+2 (free easy answer)
Answer:
5-1, known colloquially as four, 4, or 1+3.
Step-by-step explanation:
if two events are complementary, they must also be mutually exclusive events. group of answer choices true false
The statement that is if two events are complementary, they must also be mutually exclusive events is False.
Because not all mutually exclusive occurrences are necessarily complimentary, whereas all complementary events are mutually exclusive.
Mutually excusive events are those events that do not occur at the same time.
Complementary events are those two events which are the only possible events.
Since P(A) + P(B) =1, A and B are possible events.Hence A and B are mutually exclusive and complementary events
Therefore the statement is false.
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given:bac , dec , c is the midpoint of ae , what are the statements and reasons
Note that the proof that ΔABC ≅ ΔEDC is given as follows:
∠BAC ≅ ∠DEC (Given)C is the midpoint of AE (Given)∠ACB ≅ ∠ ECD - Vertical Angles TheoremΔABC ≅ ΔEDC - ASA Congruence Throrem.What is the ASA Congruence Theorem?According to the ASA rule, if any two angles and sides included between the angles of one triangle are comparable to the corresponding two angles and sides included between the angles of the second triangle, the two triangles are said to be congruent.
Thus, given the above statements, it is clear that ΔABC ≅ ΔEDC
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Full Question:
Angle BAC is congruent to Angle DEC: Given
C is the midpoint of AE: Given
Prove triangle ABC is congruent to triangle EDC
What are the statements and reasons for this proof?
Amy takes classes at both Westside Community College and Pinewood Community College. At Westside, class fees are $98 per credit hour, and at Pinewood, class fees are $115 per credit hour. Amy is taking a combined total of 20 credit hours at the two schools. Suppose that she is taking w credit hours at Westside. Write an expression for the combined total dollar amount she paid for her class fees.
Answer:
Total fees=98w+115(20-w)
Step-by-step explanation:
From the information given, the combined total dollar amount she paid for her class fees would be equal to the fee per credit hour at Wetside for the number of credit hours she takes there plus the result of multiplying the fee per credit hour at Pinnewood for the number of credit hours Amy takes in that place. Also, it is important to take into account that the number of credit hours Amy takes at Pinnewood would be the result of subtracting the number of hours she takes at Westside from the combined total at the two schools that is 20. According to this, the expression for the combined total dollar amount she paid for her class fees is:
Total fees=98w+115(20-w), where:
w is the number of credit hours at Westside.
a diver was collecting water samples from a lake. he collected a sample at every 3m, starting at 5m below water surface. the final sample was collected at a depth of 35m.how many sample did he collected
The diver collected water samples at every 3 meters, starting from 5 meters below the water surface, up to a final depth of 35 meters.
We can find the number of samples collected by dividing the total depth range by the distance between each sample and then adding 1 to include the first sample.
The total depth range is:
35 m - 5 m = 30 m
The distance between each sample is 3 m, so the number of samples is:
(30 m) / (3 m/sample) + 1 = 10 + 1 = 11
Therefore, the diver collected a total of 11 water samples.
PLEASE FOR THE LOVE OF GOD HELP ME
Answer:
Step-by-step explanation:
Let number of games played = x
Cost = rent of shoes + x* cost per game
y = 5+ x*2
y = 5 + 2x
When x = 1
y = 5 + 2 = 7
A(1,7)
When x = 2 ; y = 5 +2*2 = 5+4 = 9
B(2,9)
When x =3 ; y = 5 +2*3 = 5 +6 = 11
C(3,11)
When x = 4; y = 5+2*4 = 5+8 = 13
D(4,13)
When x =5 ; y = 5+ 2*5 = 5 +10 = 15
E (5,15)
The Pine Scrub Rail Trail is 126 miles long. If the Willy-Nilly Bike Club rides 18 miles per day, how many days will it take them to ride from one end of the trail to the other?
A. 6 days
B. 9 days
C. 7 days
D. 8 days
match the type of attention with its impact on the encoding process.
Type of Attention Impact on Encoding Process
1. Sustained attention Facilitates thorough encoding of information.
2. Selective attention Enhances encoding of attended stimuli while filtering out irrelevant information.
3. Divided attention Impairs encoding by dividing attentional resources among multiple tasks.
4. Exogenous attention Captures attention involuntarily, potentially interrupting the encoding process.
5. Endogenous attention Voluntarily directed attention that can prioritize specific information for encoding.
1. Sustained attention: Sustained attention refers to the ability to maintain focus over an extended period. It has a positive impact on the encoding process as it allows for thorough and comprehensive encoding of information.
2. Selective attention: Selective attention involves focusing on specific stimuli while filtering out irrelevant information. It enhances the encoding process by directing attention to the relevant stimuli, promoting their effective encoding.
3. Divided attention: Divided attention refers to the attempt to allocate attention to multiple tasks simultaneously. Dividing attention among multiple tasks impairs the encoding process as attentional resources become fragmented, leading to less effective encoding of information.
4. Exogenous attention: Exogenous attention is captured involuntarily by external stimuli, potentially interrupting the encoding process. It can divert attention away from the intended encoding task, resulting in a negative impact on encoding.
5. Endogenous attention: Endogenous attention is voluntarily directed attention that allows individuals to prioritize specific information for encoding. It enhances the encoding process by selectively focusing on relevant stimuli and allocating cognitive resources accordingly.
Different types of attention have varying impacts on the encoding process. Sustained attention and selective attention positively influence encoding, while divided attention and exogenous attention have negative effects. Endogenous attention, on the other hand, can enhance encoding by prioritizing specific information.
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1. A circle has a radius of 12 in. Find:
The diameter of the circle.
The circumference of the circle.
The area of the circle.
2. A circle has a radius of 4.4 cm. Find:
The diameter of the circle.
The circumference of the circle.
The area of the circle.
3. A circle has a diameter of 60 m. Find:
The radius of the circle.
The circumference of the circle.
The area of the circle.
4. A circle has a diameter of 1.8 km. Find:
The radius of the circle.
The circumference of the circle.
The area of the circle.
Answer:
1.
a.) 24in
b.)75.36in
c.)452.16in
Step-by-step explanation:
1a. The radius is half of the diameter, so all you have to do is add 12 + 12 which is 24.
1b. the circumfrence of a circle is C (Circumfrence)=\(2\pi r\) so replace radius for 12 and then do 3.14(pi) x 2 which will get you 6.28 times 6.28 by 12 and you will get 75.36.
1c. Area=\(\pi r^{2}\) so first do the radius by the second power, or \(r * r\), susitute r for 12 and you will get 144, times 144 by pi and you will get 452.16in
Sorry I could not answer every question but hope this helps!
For a two-sample t test where n1 = 16 and n2 = 12, what are the appropriate degrees of freedom?
The degrees of freedom for an independent t-test when n1 = 16 and n2 = 12 are 26.
Given,
n1 = 16
n2 = 12
Here,
An independent t-test, often known as a two-sample t-test, compares the means of two unrelated groups to see whether they are significantly different from each other. The t-test is an essential method that can help you determine whether or not a certain hypothesis is true, regardless of whether or not it is accurate.
Degree of freedom for independent t test: DF = (n1 + n2) - 2
DF = (16 + 12) - 2
DF = 26
Therefore, the degrees of freedom for an independent t-test when n1 = 16 and n2 = 12 are 26.
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Which expression, in exponential form, is equivalent to 26x3y 47z5r3 A) ( 26x3y 47z5r3 )2 B) (26xy) 1 2 (47zr) 1 2 C) 26 1 2 x 3 2 y 1 2 47 1 2 z 5 2 r 3 2 D) 26x 3 2 y 1 2 47z 5 2 r 3 2
Answer:
The answer is "all the choices were wrong"
Step-by-step explanation:
Given value:
\(\bold{26x^3y 47z^5r^3}\)
In the given question all the choices were wrong because it is not equivalent to given equation:
In choice A) \(( 26x^3y 47z^5r^3 )^2\) in the value is whole squared, that's why it is wrong.
In choice B) \((26xy)^{12} (47zr)^{12}\) when we open its value it will give different values, that's why it is wrong.
In option C and D( \(26^{12} x^{32} y^{12} 47^{12} z^{52} r^{32}\) and \(26x^{32} y^{12}47z^{52} r^{32}\)) both values will give different values.
Answer:
it's C
Step-by-step explanation:
I just did it
The length of a rectangle is six inches more than its width. If the perimeter of the rectangle is 24 inches, find its dimensions.
Answer:
length= 9
width= 3
Step-by-step explanation:
x= width
length = x+6
x+6+x+6+x+x=24
4x+12=24
take 12 from both sides
4x= 12
x=3
What is the value of x ? When a triangle side B is 75° SIDE C is 50° and sideA is X
Answer:
55°
Step-by-step explanation:
Assuming you are looking for the angles and not the length of the sides, the remaining angle is 55°. All 3 angles have to equal 180°.
A+B+C=180
A+75+50=180
Subtract 75 and 50 from 180 to get:
A=55
My teacher asked me to round 71,500 to the nearest thousand. I think that the answer is 72,000. Did I round correctly?
Answer:
correct!
Step-by-step explanation:
NOTE: For All Calculations In This Lab, Use The Approximation Of 62,500 Inches To The Mile When Necessary. ALWAY
By using the approximation of 62,500 inches to the mile, you can simplify and expedite various calculations involving distances and conversions between inches and miles, providing a convenient tool for numerical analysis and problem-solving
The approximation of 62,500 inches to the mile is commonly used in various calculations, especially in scenarios where conversions between inches and miles are involved. This approximation simplifies the conversion process and allows for easier calculations.
For example, if you need to convert a distance from miles to inches, you can simply multiply the number of miles by 62,500 to obtain the equivalent distance in inches. Conversely, if you have a measurement in inches and want to convert it to miles, you divide the number of inches by 62,500 to get the distance in miles.
Additionally, this approximation can be useful in other applications, such as determining the number of inches in a given number of miles, or calculating the length of a specific distance in miles based on its measurement in inches.
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.
cindy and her younger sister have total of less than $15. cindy has twice as much money as her younger sister. let x represent the amount of money cindys younger sister has. tell whether each statement is true or false
Answer:
30
Step-by-step explanation:
because you times it by 2 since she has twice the amount
find an equation for the paraboloid in spherical coordinates. (enter rho, phi and theta for , and , respectively.)
The equation for a paraboloid in spherical coordinates is ρcos(φ) = kρ²sin²(φ), where ρ represents the distance from the origin, φ represents the angle between the positive z-axis, and θ represents the angle between the positive x-axis.
To find the equation for a paraboloid in spherical coordinates, we can use the following steps:
Step 1: Identify the variables involved.
In spherical coordinates, we have three variables:
- ρ (rho) represents the distance from the origin to the point.
- φ (phi) represents the angle between the positive z-axis and the line segment connecting the origin to the point.
- θ (theta) represents the angle between the positive x-axis and the projection of the line segment connecting the origin to the point onto the xy-plane.
Step 2: Determine the equation for a paraboloid.
A paraboloid is a three-dimensional shape that resembles a bowl or a vase. It can be described by the equation:
z = k(x² + y²)
Step 3: Convert the equation to spherical coordinates.
To express the equation in terms of spherical coordinates, we need to substitute x, y, and z with ρ, φ, and θ.
In spherical coordinates, the conversion formulas are:
x = ρsin(φ)cos(θ)
y = ρsin(φ)sin(θ)
z = ρcos(φ)
Step 4: Substitute the values into the equation.
Using the conversion formulas, we can substitute x, y, and z in the equation for the paraboloid:
ρcos(φ) = k(ρ²sin²(φ)cos²(θ) + ρ²sin²(φ)sin²(θ))
Step 5: Simplify the equation.
Let's simplify the equation by factoring out ρ²sin²(φ):
ρcos(φ) = kρ²sin²(φ)(cos²(θ) + sin²(θ))
Step 6: Further simplify the equation.
We know that cos²(θ) + sin²(θ) equals 1, so we can substitute this into the equation:
ρcos(φ) = kρ²sin²(φ)
Thus, the equation for the paraboloid in spherical coordinates is:
ρcos(φ) = kρ²sin²(φ)
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can someone please help with this whole page? i’ve asked other people for help and they don’t get it either.
Call line that passes through the point x, y with a y intercept of b and a slope of m can be represented by the equation y=mx + b. a line is drawn on the coordinate plane that passes through the .3, -6 and has a slope of four the y-intercept of the line is
Answer: (0, -7.2)
Step-by-step explanation:
Substituting into point-slope form, the equation is
\(y+6=4(x-0.3)\)
The y-intercept is when x=0, so substituting in x=0,
\(y+6=4(-0.3)\\\\y+6=-1.2\\\\y=-7.2\)
So, the y-intercept is (0, -7.2).
choose the form of the partial fraction decomposition of the integrand for the integral x2 − 2x − 1 (x − 3)2(x2 9) dx .
The partial fraction decomposition of the integrand for the integral of x² - 2x - 1 / (x - 3)²(x² + 9) dx is of the form: A / (x - 3) + B / (x - 3)² + (Cx + D) / (x² + 9), where A, B, C, and D are constants.
First, factorize the denominator: (x - 3)²(x² + 9). This gives us three distinct linear factors: (x - 3), (x - 3), and (x² + 9).
Write the partial fraction decomposition using the distinct linear factors as denominators. In this case, we have two (x - 3) terms and one (x² + 9) term:
x² - 2x - 1 / (x - 3)²(x² + 9) = A / (x - 3) + B / (x - 3)² + (Cx + D) / (x² + 9).
Multiply both sides of the equation by the common denominator (x - 3)²(x² + 9) to eliminate the denominators.
Simplify the numerators and equate the corresponding coefficients on both sides of the equation.
Solve the resulting system of equations to find the values of A, B, C, and D.
Substitute the values of A, B, C, and D back into the original partial fraction decomposition.
Therefore, the partial fraction decomposition of the integrand for the given integral is: A / (x - 3) + B / (x - 3)² + (Cx + D) / (x² + 9), where A, B, C, and D are constants
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Reconstruction failed to establish racial equality and black freedom. Explain how the rapid industrialization of the United States under the system of "free labor" in the years after the Civil War led to a social crisis by the end of the nineteenth century in which the traditional American values of democracy, equality, and opportunity seemed to be disappearing, and in which class conflict threatened to tear society apart. How did the capitalists and working classes attempt to enhance their own power and interests in their struggle with each other? Why was the working class unable to achieve much, despite valiant efforts? How did the middle-class respond to the struggle between labor and capital as well as the changes that American society underwent during the late nineteenth century?
The working class was unable to achieve much, despite valiant efforts, due to their lack of solidarity and the capitalist's willingness to use violence against them.The middle class responded to the struggle between labor and capital, as well as the changes that American society underwent during the late nineteenth century, by supporting a variety of social reform movements.
After the Civil War, Reconstruction failed to establish racial equality and black freedom in the United States. The rapid industrialization of the United States under the system of "free labor" in the years following the Civil War contributed to a social crisis by the end of the nineteenth century. This crisis seemed to be causing the disappearance of traditional American values of democracy, equality, and opportunity, and class conflict was threatening to tear society apart.In their struggle against each other, capitalists and working classes attempted to enhance their own power and interests. Capitalists attempted to enhance their power by instituting new labor policies, cutting wages, and lowering working conditions.
The working class was unable to achieve much, despite valiant efforts, due to their lack of solidarity and the capitalist's willingness to use violence against them.The middle class responded to the struggle between labor and capital, as well as the changes that American society underwent during the late nineteenth century, by supporting a variety of social reform movements. They sought to provide relief for the urban poor and to reform politics by promoting women's suffrage and demanding the elimination of political corruption.In conclusion, Reconstruction failed to establish racial equality and black freedom in the United States. The rapid industrialization of the United States under the system of "free labor" in the years following the Civil War contributed to a social crisis by the end of the nineteenth century. Capitalists and working classes attempted to enhance their power and interests in their struggle with each other. The working class was unable to achieve much, despite valiant efforts. The middle class responded to the struggle between labor and capital, as well as the changes that American society underwent during the late nineteenth century, by supporting a variety of social reform movements.
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A rational number is such that when you multiply it by 5/2 and add 2/3 to the product you get -7/12 . what is the number?
Answer:
-94/195
Step-by-step explanation:
Let the number be x.
x(5/2) + 2/3 = -7/13
x(5/2) = -7/13 - 2/3
x(5/2) = -21 - 26/39
x(5/2) = -47/39
x = (-47/39)/(5/2)
x = -94/195
What is the slope of the line?
Solving equations with Fractions?
Answer:
basically just multiply the fractions by a common number until you have whole numbers, then solve like normal
Step-by-step explanation: