Answer:
Slope is 1, since we use rise over run which is expressed as 1/1
Figs come in 2.4 lb bags. Apples come in 7.2 lb bags. How many times as many pounds are the apple bags as the fig bags?
Answer:
3 times as many pounds
Step-by-step explanation:
7.2 / 2.4 = 3 times as many pounds
Hope that helps!
what is the probability that you and your two friends will be chosen, but your name will be drawn first
The probability of the student's name being drawn first is 1/3.
The probability that you and your two friends will be chosen, but your name will be drawn first is 1/3.The likelihood or chance of a specific event happening is referred to as probability. The probability of an event is represented by a number between 0 and 1, with 0 indicating that the event will never occur, and 1 indicating that the event will always occur.
Probability formula the probability of an event occurring is calculated by dividing the number of favorable outcomes by the total number of possible outcomes. Probability (P) = number of favorable outcomes/total number of possible outcomes.Probability of the scenario The total number of people who can be picked is three, with one of them being the student.
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find the value of integral ∫ c ( x 2 y 2 z ) d s ∫c(x2 y2 z)ds , where c c is parmeterized by → r ( t ) = ⟨ 2 cos ( 2 t ) , 2 sin ( 2 t ) , 5 t ⟩ r→(t)=〈2cos(2t),2sin(2t),5t〉 for 0 ≤ t ≤ 4 0≤t≤4 .
The value of integral ∫ c ( x 2 y 2 z ) d s ∫c(x2 y2 z)ds is 156.864.
To evaluate the line integral ∫c(x^2 y^2 z)ds, we need to parameterise the curve C and then compute the integral along that curve.
The parameterization of C is given by → r ( t ) = ⟨ 2 cos ( 2 t ) , 2 sin ( 2 t ) , 5 t ⟩ r→(t)=〈2cos(2t),2sin(2t),5t〉 for 0 ≤ t ≤ 4 0≤t≤4.
To compute the line integral, we first need to get the unit tangent vector →T(t) of the curve C. The unit tangent vector is :
→T(t) = →r'(t)/|→r'(t)|
Taking the derivative of →r(t) gives:
→r'(t) = ⟨ -4 sin(2t), 4 cos(2t), 5 ⟩So, the magnitude of →r'(t) is:
|→r'(t)| = √( (-4 sin(2t))^2 + (4 cos(2t))^2 + 5^2 ) = √( 16 + 25 ) = √41
Therefore, the unit tangent vector is:
→T(t) = (1/√41) ⟨ -4 sin(2t), 4 cos(2t), 5 ⟩
Now, we can compute the line integral as follows:
∫c(x^2 y^2 z)ds = ∫0^4 (x^2 y^2 z) |→T(t)| dt
Substituting the parameterization and the unit tangent vector, we get:
∫c(x^2 y^2 z)ds = ∫0^4 (4 cos^2(2t) 4 sin^2(2t) 5t) (1/√41) dt
= (20/√41) ∫0^4 (16 cos^2(2t) sin^2(2t) t) dt
Using the identity sin(2θ) = 2sin(θ)cos(θ), we can simplify the integrand as follows:
16 cos^2(2t) sin^2(2t) = 4 sin^2(4t) = 2 (1 - cos(8t))
Substituting this back into the integral, we get:
∫c(x^2 y^2 z)ds = (20/√41) ∫0^4 [ 2 (1 - cos(8t)) t ] dt
Integrating by parts with u = t and dv = 1 - cos(8t), we get:
∫c(x^2 y^2 z)ds = (20/√41) [ t^2/2 - (1/8) sin(8t) ] |_0^4
= (20/√41) [ 8 - (1/8) sin(32) ]
≈ 156.864
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If the oven temperature drops 2 degrees every time 50 pills are produced, what will the temperature reading be when this batch of pill production is finished?
210
Step-by-step explanation:
225/50 = 4.5(5)
5x2=10
220-10=210
Combine like terms to simplify the expression:
Answer: k/2 - 3/5
Step-by-step explanation: This is what my calculator came up with.
Pls help me out with this stupid question
Answer:
138.248cm²
Step-by-step explanation:
Surface area=2πrh + 2πr²
Surface area=2x3.142x2x9+ 2x3.142x2²
Surface area=113.112+25.136
Surface area=138.248cm²
Answer:
Answer:
138.248cm²
Step-by-step explanation:
Surface area=2πrh + 2πr²
Surface area=2x3.142x2x9+ 2x3.142x2²
Surface area=113.112+25.136
Surface area=138.248cm²
"credit goes to unknown76th"
Step-by-step explanation:
A _____________ is a line that provides an approximation of the relationship between the variables.
Answer:
srat
Step-by-step explanation:hehe i really dont know
0.1. Determine the constraint on \( r=|z| \) for each of the following sums to converge: (a) \( \sum_{n=-1}^{\infty}\left(\frac{1}{2}\right)^{n+1} z^{-n} \) (b) \( \sum_{n=1}^{\infty}\left(\frac{1}{2}
The constraint on \(r=|z|\) for each of the following sums to converge are:\(\(\boxed{\textbf{(a)}\ \frac{1}{2} < |z|}\)\) and \(\boxed{\textbf{(b)}\ |z| < 2}\).
The constraint on \(r=|z|\) for each of the following sums to converge is given below;
(a) For\(\(\sum_{n=-1}^{\infty}\left(\frac{1}{2}\right)^{n+1} z^{-n}\)\) series, the constraint is given by: We know that, for a power series\(\(\sum_{n=0}^{\infty} a_n z^n\)\), if the limit exists, then the series converges absolutely for\(\(z_0= lim\frac{1}{\sqrt[n]{|a_n|}}\)\).
Using ratio test, we get \(\(\lim_{n \rightarrow \infty}\frac{a_{n+1}}{a_n}=\lim_{n \rightarrow \infty}\frac{1}{2z}\)\), which equals to \(\(\frac{1}{2z}\)\) and hence, the constraint is given by: \(\[\begin{aligned} \frac{1}{2z} < 1 \\ \Rightarrow \frac{1}{2} < |z| \\ \Rightarrow |z| > \frac{1}{2} \end{aligned}\]\)
(b) For \(\(\sum_{n=1}^{\infty}\left(\frac{1}{2}\right)^{n-1} z^{n}\)\) series, the constraint is given by: Using the ratio test, we get\(\(\lim_{n \rightarrow \infty}\frac{a_{n+1}}{a_n}=\lim_{n \rightarrow \infty}\frac{z}{2}\)\), which equals to \(\(\frac{z}{2}\)\) and hence, the constraint is given by: \(\[\begin{aligned} \frac{z}{2} < 1 \\ \Rightarrow |z| < 2 \end{aligned}\]\)
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What is the measure of the reference angle for a 112° angle?
A.
22°
B.
68°
C.
67°
D.
78°
Answer:
B. 68
Step-by-step explanation:
180-112 = 68
just simple angle addition
crossin my fingers and hoping this helps
The measure of the reference angle for a 122° angle is 68°.
What is Reference Number?Reference number associated with t is defined as the shortest distance from the x axis to the terminal point t, along a unit circle.
So we have to find the shortest angle that the X axis make with the angle 112 degree.
112 degree lies on the second quadrant.
We know that,
Sum of the angles along the X axis = 180°
Reference angle of 112 degree = 180° - 112°
= 68°
Hence the reference angle for 112 degree is 68 degrees.
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Anyone know this? Ill give brainliest if right pls help ^^!!!
Answer:
function a is less than b
Step-by-step explanation:
the slope of a is 1/3
the slope of b is -5
does the 99% confidence interval provide convincing evidence that a majority of all u.s. adults think that organic produce is better for health? explain your answer.
A confusion interval of 99 percent between -0.020 and 0.120 for the difference in the true percentage of the population that say "Yes".
What does confidence interval mean?
If you repeat your experiment or resample the population in the same manner, the confidence interval is the range of values you expect your estimate to fall within a specific proportion of the time.
In point a:
The confidence interval will not provide convincing proof that only the two population prolongations differentiate because a 99 percent confidence interval for both the difference throughout the true promotion around -0.020 and 0.120 is included 0.
In point b:
This confidence interval gives strong evidence also that two population proportions were identical because there is a confusion interval of 99 percent between -0.020 and 0.120 for the difference in the true percentage of the population that say "Yes".
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The complete question is -
A CBS News poll asked 606 randomly selected women and 442 randomly selected men, "Do you think putting a special tax on junk food would encourage more people to lose weight?" 170 of the women and 102 of the men said "Yes." A 99% confidence interval for the difference (Women – Men) in the true proportion of people in each population who would say "Yes" is –0.020 to 0.120.
a. Does the confidence interval provide convincing evidence that the two population proportions are different? Explain your answer.
b. Does the confidence interval provide convincing evidence that the two population proportions are equal? Explain your answer.
solve? Help give out points!! - 1/2 = 3/2k + 3/2
Answer:
K=-4/3
Step-by-step explanation:
-1/2=3/2k + 3/2
-4/2=3/2k
-4=3k
-4/3=k
Answer: I think it’s 4/5
Step-by-step explanation:
... sorry don’t really think my math is good lol.
which of the following is the domain and range of the ellipse with equation x2 4y2 – 2x 16y – 19 = 0?
The domain and range of the given ellipse is [-2,2] and [-1,5] respectively.
Given that the equation of the ellipse is x2/4 + (y-2)²/9 = 1.
We have to find the domain and range of the ellipse.
Domain of the ellipse is the range of x-values such that the equation of the ellipse is defined.
Therefore, x is in the range [-2,2].
Range of the ellipse is the range of y-values such that the equation of the ellipse is defined.
Therefore, y is in the range [-1,5].
Thus, the domain of the given ellipse is [-2,2] and its range is [-1,5].
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Scaled scores on the WISC-V have a mean of ____ and a standard deviation of _____.
a. 10/3
b. 10/5
c. 3/1
d. 100/15
the correct answer is option a: 10/3, which represents the mean and standard deviation of the scaled scores on the WISC-V.
Scaled scores are used to compare an individual's performance on the WISC-V to the performance of other individuals in the same age group. The scaled scores are derived from raw scores and are standardized to have a mean and standard deviation that are predetermined.The mean of scaled scores on the WISC-V is set to 10. This means that an average performance is represented by a scaled score of 10.
The standard deviation of scaled scores on the WISC-V is set to 3. The standard deviation measures the spread or variability of scores around the mean. A standard deviation of 3 indicates that most scores fall within 3 points above or below the mean of 10.
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I need help to understand before my test today
Answer:
75 degrees
Step-by-step explanation:
All the angles within a triangle added together equals 180 degrees, so:
x + 25 + 2x - 5 + x = 180
add like terms
4x + 20 = 180
subtract 20 from both sides
4x = 160
divide by 4
x = 40
Now input 4 into the equation for C
2(40) - 5 = 80 - 5 = 75
is a type of appeal that tries to make readers feel something.
A:Ethos
B:Logos
C:Pathos
D:Eros
(i put it on math my bad)
Answer:
C i think
Step-by-step explanation:
The American Academy of Pediatrics recommends that parents begin reading to their children soon after birth and that parents set limits on screen time. A new study reinforces these recommendations. In the study, 27 four-year-olds were presented with stories in three different formats: audio (sound only), illustrated (sound and pictures), and animated (sound and animation). During the presentations, a magnetic resonance imaging (MRI) machine measured each child’s brain connectivity. The researches found a "Goldilocks effect," in which audio was too cold (with low brain connectivity as the children strained to understand) and animation was too hot (with low brain connectivity as the animation did all the work for the children). The highest connectivity (just right!) was found with the illustrated format, which simulates reading a book to a child.
a)What is the explanatory variable? Is it categorical or quantitative?
b)What is the response variable? Is it categorical or quantitative?
c)How many observational units (or individuals) are there?
a) The explanatory variable in the study is the format of the stories presented to the four-year-olds: audio, illustrated, and animated. This variable is categorical because it involves distinct categories or formats.
b) The response variable in the study is the brain connectivity measured by the magnetic resonance imaging (MRI) machine. This variable is quantitative as it represents a numerical measurement of brain connectivity.
c) The study includes 27 four-year-olds as the observational units or individuals.
Determine the different story format?The study aimed to investigate the impact of different story formats on brain connectivity in four-year-olds. The explanatory variable, format, was categorized into three groups: audio, illustrated, and animated.
The response variable, brain connectivity, was measured using an MRI machine. The researchers found a "Goldilocks effect" in the brain connectivity, indicating that the audio format was associated with low brain connectivity, possibly due to the children straining to understand.
On the other hand, the animated format also resulted in low brain connectivity, suggesting that the animation did all the work for the children.
The highest brain connectivity, considered optimal, was observed with the illustrated format, which simulated the experience of reading a book to a child.
The study included 27 four-year-olds as the observational units, providing insights into the relationship between story format and brain connectivity in young children.
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Which of the following is a radius of D?
Answer:
Hi! Please comment down below what is the following so I can give you a better explanation. Or please repost the question with a picture of the expressions or such. Thanks have a wonderful day. - K
the talent show committee sold a total of 530 tickets in advance. Student tickets cost $3 each and the adult tickets cost $4 each. If the total receipts were $1740, how many of each type of ticket were sold?
Choose the correct set of equations that would be used to solve this problem.
Answer:
The answer is the third choice.
Step-by-step explanation:
S + A = 530 Is telling us about the total number of tickets sold. It has nothing to do with the cost of the tickets.
Since Student tickets cost 3, the 3 would go with the variable s for students and the 4 goes with the cost of adults so the a would go with 4. This second equation is looking at the money brought it. If we multiple the number of adults by 4 dollars and the students by 3 dollars we come up with the money that came in 1740.
What is the domain of the relation (8, -2), (4,-2), (3, 2), (-5, -3)?
A. {8,4,3, -5}
B. {-8, -4, 3, 5)
C. 2-5, -3, 4, 8}
D. 2-3, -2, 2}
Answer:
A. {8, 4, 3, -5}
Step-by-step explanation:
The domain is the list of x values in a given function. Therefore, the domain is {8, 4, 3, -5}.
Tyson determines that his altitude at the halfway point of his hike is $-50$ feet because $-120\ +\ 70\ =\ -50$ . Did Tyson correctly determine his altitude at the halfway point of his hike?
No, he did not determine his altitude correctly.
Altitude – what is it?There are numerous types of altitude.
True altitude is the distance from average sea level. The elevation of geographic areas indicated on maps really refers to their genuine elevations, such as Mount Everest's height.
Absolute altitude: The height from the spot on the ground directly beneath the position under consideration is known as absolute altitude. Alternately, it could be the height above the earth.
When the altimeter is calibrated for the local barometric pressure at mean sea level, it gives the indicated altitude. [Aircraft use atmospheric pressure to calculate their height.]
Height above a conventional datum air-pressure plane is known as pressure altitude. The apparent height and the pressure altitude are same when the altimeter is calibrated with 1 ATM, or 1.0132105 Pa, as the local barometric pressure at the MSL.
Pressure altitude that has been adjusted for deviations from the mean temperature is known as density altitude. The pressure at a particular location may differ from the International Standard Atmosphere depending on factors like temperature. It is crucial to know at what altitude in the international standard atmosphere this specific pressure is measured because all flight parameters are in Standard Atmosphere circumstances. The density altitude is that elevation.
Now,
Here we have to find the true altitude
As Tyson is 120+70=200 feet above the ground
So, the altitude of the half way will be 200/2=100 feet
Because height can not be negative - is just an expression to show height below something.
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Matt wants to play in the sand pit, and then try the swings, the slide, and the seesaw, in that order. If the units on the coordinate plane are in yards, how many yards will Matt cover between the sandpit and the seesaw?
A.
12 yards
B.
15 yards
C.
18 yards
D.
25 yards
E.
29 yards
Answer:
it should be 12
i think :)
i hope im correct
Step-by-step explanation:
Sydney i cutting the crut from the edge of her andwich. The dimenion, in centimeter, of the andwich i hown. A rectangle labeled andwich. The right ide i labeled 2 x quared 9. The bottom ide i labeled 2 x quared 8. Which expreion repreent the total perimeter of her andwich, and if x=1. 2, what i the approximate length of the crut?
Repone
4x217; 21. 8 centimeter
4 x quared plu 17 ; 21 point 8 centimeter
8x234; 43. 6 centimeter
8 x quared plu 34 ; 43 point 6 centimeter
8x234; 45. 52 centimeter
8 x quared plu 34 ; 45 point 5 2 centimeter
4x217; 22. 76 centimeter
The total perimeter will be 4x^+17 and length be 22.76 cm
As per the data given in the questions,
We have, the shape of the sandwich be rectangular.
We know that, perimeter of the rectangle can be determined by using formula: 2(l+b),
where, l = length of the rectangle
and, b = breadth of the rectangle
The expression for the perimeter of the sandwich would be:
2 (2x^2 + 9) + 2 (2x^2 + 8)
= 4x^2 + 26
Now for finding the length of the crust,
we will put the value of x=1.2,
So, the value of the approximate length of the crust would be:
=4x^2 + 26
= 4 * 1.2^2 + 26
= 22.76 centimetres.
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What is the gradient of the line y 7x 3?
The given expression is of the form y=mx+c. Comparing, we get the slope as 7.
The direction and steepness of a line are represented numerically by the slope or gradient of the line. It provides the ratio of how much y rises when x rises by a particular amount. The general form is therefore y=mx+c, where c represents the y-intercept and m represents the slope. This form gives the slope-intercept form.
Given the expression is y=7x+3. Comparing this expression with the general form we get, slope or gradient as 7 and y-intercept as 3. Therefore, the required answer is 7.
The complete question -
What is the gradient of the line y=7x+3?
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Write an expression using fractions to determine the amount that each person will pay then calculate each person's contributions showing all steps in long division
Answer:
Fractional Expression for how much each person pays = (64.04/4)
Each person pays $16.01.
Step-by-step explanation:
Complete Question
Write an expression using fractions to show how to determine the amount that each person will pay. Then calculate each person's contributions showing all steps in long division.
The total of the bill is $64.04 and there are 4 people splitting the bill.
Solution
Total amount to be shared equally by 4 persons = $64.04
Fractional Expression for how much each person pays = (64.04/4)
Long division method to do this division.
16.01
4 | 64.04
4
24
24
00
0
04
4
0
Each person pays $16.01.
Hope this Helps!!!
Question * Let D be the region enclosed by the two paraboloids z = 3x² + 12/²4 y2 z = 16-x² - Then the projection of D on the xy-plane is: 2 None of these 4 16 This option This option = 1 This opti
The correct option would be "None of these" since the projection is an ellipse and not any of the given options (2, 4, 16, or "This option").
To determine the projection of the region D onto the xy-plane, we need to find the intersection curve of the two paraboloids.
First, let's set the two equations equal to each other:
3x² + (12/24)y² = 16 - x²
Next, we simplify the equation:
4x² + (12/24)y² = 16
Multiplying both sides by 24 to eliminate the fraction:
96x² + 12y² = 384
Dividing both sides by 12 to simplify further:
8x² + y² = 32
Now, we can see that this equation represents an elliptical shape in the xy-plane. The equation of an ellipse centered at the origin is:
(x²/a²) + (y²/b²) = 1
Comparing this with our equation, we can deduce that a² = 4 and b² = 32. Taking the square root of both sides, we have a = 2 and b = √32 = 4√2.
So, the semi-major axis is 2 and the semi-minor axis is 4√2. The projection of region D onto the xy-plane is an ellipse with a major axis of length 4 and a minor axis of length 8√2.
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The quadrant model of communication styles assumes that all people:
A) understand the quadrant model well enough to choose their point on the quadrant
B) fit into four discrete, unchanging categories and can be easily assessed in that category by others
C) change from quadrant to quadrant somewhat regularly
D) are aware of their communication style and can alter it depending on the situation
E) have a relatively consistent point on both the dominance and sociability continuums
The correct answer is E) have a relatively consistent point on both the dominance and sociability continuums.
The quadrant model of communication styles is based on the assumption that all people have a relatively consistent point on both the dominance and sociability continuums. This means that people tend to have a preferred communication style that is characterized by a particular combination of dominance and sociability. However, this does not mean that people fit into four discrete, unchanging categories that can be easily assessed by others. In fact, the quadrant model recognizes that people's communication styles can vary depending on the situation, and that individuals may shift from one quadrant to another depending on the context.
Therefore, options A, B, C, and D are incorrect.
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Can you find the mean, median ,mode,and range of a entire deck of 52 playing cards
To find the mean, median, mode, and range of an entire deck of 52 playing cards, we need to understand what each term means in this context.
The mean is the average value of a set of numbers. To find the mean of the deck of cards, we would add up the values of all 52 cards and divide by 52.
The median is the middle value in a set of numbers when they are arranged in ascending or descending order. Since a deck of cards is already arranged in a specific order, we can simply find the card that is in the middle position (in this case, the 26th card) to determine the median.
The mode is the value that appears most frequently in a set of numbers. In a standard deck of cards, there are no repeating values, so there is no mode.
The range is the difference between the highest and lowest values in a set of numbers. In the case of a deck of cards, the lowest value is the Ace (1) and the highest value is the King (13), so the range would be 13 - 1 = 12.
To summarize:
- The mean of the deck of cards would be the sum of all 52 card values divided by 52.
- The median of the deck of cards would be the value of the card in the middle position (26th card).
- There is no mode in a standard deck of cards.
- The range of the deck of cards is 12.
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Which equation represents the vertical line passing through (7,-3)?
А.X=-3
B. y=-3
C. x=7
D. y=7
At hoffman's bike rentals,it cost $35 to rent a bike for 7 hours .How many hours of bike does the customer get per dollar?please help
Answer:
your answer is 5 dollars per hour
Step-by-step explanation:
35/7 = 5
Answer
Answer is 5 dollars per hour
Step-by-step explanation:
35/7 = 5