Lisa is collecting data by interviewing people on the streets. She interviewed 21 people in 3 hours. At this rate, what is the total number of the people she interviewed if she works for a additional 2 hours.
Answers
Answer:
35 interviews
Step-by-step explanation:
1. Find the rate
21/3 = 7 people an hour
2. Find how much she can do in 2 hours
7 x 2 = 14 interviews
3. Add the 2 numbers
21 + 14 = 35 interviews
Related Questions
Select the correct answer from the drop-down menu. Consider each table of values. Of the three functions, represent linear relationships. choices are:g and h, none, all three, f and g, lastly f and h
Answers
Answer:
g and h
Step-by-step explanation:
both g and h have the same slope between each of their points.
Submissions Used Such is the cost in thousands of dollars of producing tons of white paper. If C(10) = 380, estimate the cost of producing an in 600 lb of paper once 10 tons have been produced
Answers
The estimated cost of producing 600 lb of paper once 10 tons have been produced is approximately $23,000.
To estimate the cost of producing 600 lb of paper once 10 tons have been produced, we can use the concept of submissions used.
First, we need to convert 10 tons to pounds, which is 10 x 2000 = 20,000 lb.
Next, we can use the formula C(x) = S(x) / 1000, where C(x) is the cost in thousands of dollars and S(x) is the submissions used.
We know that C(10) = 380, which means that at 10 tons produced, the cost is $380,000.
To find the submissions used at 10 tons, we can use the formula S(x) = kx, where k is a constant.
So, S(10) = k(10) = 10k
We don't know the value of k, but we can find it by using the given cost and submissions used.
C(10) = S(10) / 1000
380 = 10k / 1000
k = 38
Now we can find the submissions used at 20,000 lb by using S(x) = kx.
S(20,000) = 38(20,000)
S(20,000) = 760,000
Finally, we can find the cost of producing 600 lb of paper by using the submissions used and the formula C(x) = S(x) / 1000.
C(600) = S(20,000) / 1000 / (20,000 / 600)
C(600) = 760 / 33
C(600) ≈ 23
Therefore, the estimated cost of producing 600 lb of paper once 10 tons have been produced is approximately $23,000.
Learn more about produced here:
https://brainly.com/question/30698459
#SPJ11
An enclosure at a zoo contains giraffes and ostriches. All together the zookeeper counts 70 heads and 200 legs. How many of each animal are there?
Answers
By solving equations we know that there are 30 giraffes and 40 ostriches in the zoo.
A mathematical statement known as an equation is made up of two expressions joined by the equal sign.
A formula would be 3x - 5 = 16, for instance.
When this equation is solved, we discover that the number of the variable x is 7.
So, calculate as follows:
Let g represent giraffes and o represent ostriches.
g + o = 70 ...(1)
4*g + 2*o = 200 ...(2)
g = 70 - o, according to equation 1, therefore we may enter that number in place of g in equation 2 to obtain:
4*g + 2*o = 200
4*(70-o) + 2*o = 200
280 - 4o + 2o = 200
-2o = 200 - 280
2o = 80
o = 80/2
o = 40
Ostriches are 40 then giraffes will be:
70 - 40 = 30
Therefore, by solving equations we know that there are 30 giraffes and 40 ostriches in the zoo.
Know more about equations here:
https://brainly.com/question/28937794
#SPJ4
Jeff purchases a new rug for his apartment. The rug is 56 inches by 78 inches. Calculate the area of the rug in square inches.
Answers
Answer:
4368^2
Step-by-step explanation:
heightxwidth=area
58x78
Divide $700 in the ratio 5:3:2 (S
Answers
Answer:
350:210:140
Step-by-step explanation:
5+3+2=10, so we need 10 equal parts
700÷10=70
5x70=350
3x70=210
2x70=140
350:210:140
Answer:
Explanation: 5:3:2 means 5+ 3+ 2 = $10 is devided into $5,$3,$2. Therefore $700 is divided in ratio (5:3:2) as 700 10 ⋅5 = $350, 700 10 ⋅ 3 = $210 and 700 10 ⋅ 2 = $140
There are two ducks in front of a duck, two ducks behind a duck and a duck in the middle. How many ducks are there?
Answers
Answer:
There are 5 ducks
Step-by-step explanation:
2 ducks behind
1 duck in the middle
2 ducks infront
PLS HELP QUICK ILL GIVE 90 POINTS
Simplify −2r(−13r + 5r − 12).
−16r2 − 24r
16r2 + 24
16r2 + 24r
−16r2 + 24r
Answers
Answer:
16r2 + 24
Step-by-step explanation:
See the attached picture
Jonah bought a 1.5 liter bottle of seltzer. He used 0.8 liter of seltzer in some punch. Which is greater, the amount he used or the amount he has left? Explain how you decided.
Answers
Answer:
The amount he used. (0.8)
Step-by-step explanation:
1.5 - 0.8 = 0.7, which would also be the amount he has left. 0.8 > 0.7
Median Age of U.S. Population The median age (in years) of the U.S. population over the decades from 1960 through 2010 is given by r(t)=−0.2176t 3
+1.962t 2
−2.833t+29.4(0≤t≤5) where t is measured in decades, with t=0 corresponding to 1960.t (a) What was the median age of the population in the year 2010 ? (Round your answer to one decimal place.) years (b) At what rate was the median age of the population changing in the year 2010 ? (Round your answer to one decimal place.) years per decade (c) Caiculate f ′′
(5) and interpret your result. (Round your answer to one decimal place.) years per decade per decade The calculated value of f ′′
(5) is This indicates that the relative rate of change in median age in the U.S. is Working Mothers. The percent of mothers who work outside the home and have children younger than age 6 years old is approximated by the function P(t)=35.15(t+3) 0,205
(0≤t≤32) where t is measured in years, with t=0 corresponding to the beginning of 1950 . Compute P"(20), and interpret your result. (Round your answer to four decimal placesi) P ′′
(20)= 2x p'(20) yields a response. This would indicate that the relative rate of the rate of change in working mothers is
Answers
(a) In the year 2010, the median age of the population is obtained by setting t=5 in the given equation.
r(t) = −0.2176t³ + 1.962t² − 2.833t + 29.4; 0 ≤ t ≤ 5r(5) = −0.2176(5³) + 1.962(5²) − 2.833(5) + 29.4= −27.2 + 49.05 − 14.165 + 29.4= 37.085
Thus, the median age of the population in the year 2010 is 37.1 years (rounded to one decimal place). Therefore, the median age of the population in the year 2010 was 37.1 years. (rounded to one decimal place).
(b) The rate of change of the median age of the population is given by the derivative of the function.r(t) = −0.2176t³ + 1.962t² − 2.833t + 29.4r'(t) = −0.6528t² + 3.924t − 2.833r''(t) = −1.3056t + 3.924r''(5) = −1.3056(5) + 3.924= −2.5352
Therefore, the rate of change of the median age of the population in the year 2010 was −2.5 years per decade (rounded to one decimal place).
Thus, the rate of change of the median age of the population in the year 2010 was −2.5 years per decade. (Rounded to one decimal place).
(c) P(t) = 35.15(t + 3)⁰.²⁰⁵; 0 ≤ t ≤ 32P'(t) = 7.25877(t + 3)⁻⁰.⁹⁉⁴⁸P''(t) = −6.65789(t + 3)⁻¹.⁹⁹⁴⁸P''(20) = −6.65789(20 + 3)⁻¹.⁹⁹⁴⁸= −6.65789(¹. ⁹⁹⁴⁸= −0.0203
Therefore, the value of P''(20) is −0.0203 (rounded to four decimal places).
This indicates that the relative rate of the rate of change in working mothers is decreasing at the rate of 0.0203 percent per year (rounded to four decimal places).
Thus, the relative rate of change in the percent of mothers who work outside the home and have children younger than age 6 years old is decreasing at the rate of 0.0203 percent per year.
To know more about decreasing visit :-
https://brainly.com/question/25677078
#SPJ11
can someone please help me:)
Answers
Answer:
C
Step-by-step explanation:
just did it yesterday hope it helps
figure A is a scale copy of figure B
Answers
The value of x is 42.
To determine the value of x, we need to analyze the given information regarding the scale factor between Figure A and Figure B.
The scale factor is expressed as the ratio of the corresponding side lengths or dimensions of the two figures.
Let's assume that the length of a side in Figure B is represented by 'x'. According to the given information, Figure A is a scale copy of Figure B with a scale factor of 2/7. This means that the corresponding side length in Figure A is 2/7 times the length of the corresponding side in Figure B.
Applying this scale factor to the length of side x in Figure B, we can express the length of the corresponding side in Figure A as (2/7)x.
Given that the length of side x in Figure B is 12, we can substitute it into the equation:
(2/7)x = 12
To solve for x, we can multiply both sides of the equation by 7/2:
x = (12 * 7) / 2
Simplifying the expression:
x = 84 / 2
x = 42
For more such questions on value
https://brainly.com/question/843074
#SPJ8
a recent report indicated that 90 percent of adults in a certain region actively try to include vegetables in their diet. a simulation was conducted that consisted of 50 trials with a population parameter of 0.9. each trial consisted of a sample size of 10. the number of successes out of 10 was recorded, where success represented an adult trying to include vegetables in the diet. five possible simulation results are shown. which simulation is the best match to the one described?
Answers
In repeated sampling, the method produces intervals that include the population mean approximately 95 percent of the time.
By simulation, what do you mean?A simulation is a model that replicates how a current or proposed system functions, offering evidence for decision-making by allowing the testing of various scenarios or process improvements. A more immersive experience can be had by combining this with virtual reality technology.
What accomplishes the simulation?The fundamental goal of simulation is to illuminate the underlying processes that regulate a system's behavior. A system's future behavior can be predicted (forecasted) using simulation, and you can use it to figure out how to influence that behavior in the future.
To know more about simulation visit:
https://brainly.com/question/16359096
#SPJ4
which equation is used to find the value of x?
Answers
Answer:
C. x=22 sin38°
Step-by-step explanation:
you would use sin in this case
sin(38°)=x/22
22×sin(38)=x
so the answer is C
uppose that w =exyz, x = 3u v, y = 3u – v, z = u2v. find ¶w ¶u and ¶w ¶v.
Answers
The partial derivatives are,
⇒ δw/δu = 3e^(xyz) (yz + xz + xyu^2)
⇒ δw/δv = e^(xyz) * (yz - xz + xyu^2)
Since we know that,
δw/δu = (δw/dx) (dx/du) + (δw/dy) (dy/du) + (δw/dz)(dz/du)
Now calculate the partial derivatives of w with respect to x, y, and z,
⇒ δw/dx = e^(xyz) y z δw/dy
= e^(xyz) x z δw/dz
= e^(xyz) x y
Calculate the partial derivatives of x, y, and z with respect to u,
dx/du = 3
dy/du = 3
dz/du = u²
Substituting these values, we get'
⇒ δw/δu = (e^(xyz) y z 3) + (e^(xyz) x z 3) + (e^(xyz) x y u^2)
⇒ δw/δu = 3e^(xyz) (yz + xz + xyu^2)
Next, let's calculate δw/δu.
⇒ δw/δu= (δw/dx) (dx/dv) + (δw/dy) (dy/dv) + (δw/dz) (dz/dv)
Again, let's start with the partial derivatives of w with respect to x, y, and z,
⇒δw/dx = e^(xyz) y z δw/dy
= e^(xyz) x z δw/dz
= e^(xyz) x y
Calculate the partial derivatives of x, y, and z with respect to v,
dx/dv = 1
dy/dv = -1
dz/dv = u²
Substituting these values, we get:
⇒ δw/δv = (e^(xyz) y z) + (e^(xyz) x z -1) + (e^(xyz) x y u²)
⇒ δw/δv = e^(xyz) (yz - xz + xyu^2)
So the final answers are:
⇒ δw/δu = 3e^(xyz) (yz + xz + xyu^2)
⇒ δw/δv = e^(xyz) * (yz - xz + xyu^2)
To learn more about derivative visit;
https://brainly.com/question/29144258
#SPJ4
A math teacher and a science teacher combine their first period classes for a group activity. The math class has 24 students and the science class has 16 students.
The students need to divide themselves into groups of the same size. Each group must have the same number of math students.
Find the greatest number of groups possible. I need help
Answers
If 24 math students and 16 science students should be divided into groups of same size with same number of math students, the greatest number of groups possible is 8.
Therefore the answer is 8.
Let the size of each group be n and the number of maths student in each group be m. Let the number of groups be x.
As the math class has 24 students and the science class has 16 students
mx = 24 and (n - m)x = 16
As x must be a natural number as it is the number of groups. So the greatest number of groups possible is given by the highest common factor (HCF) of 24 and 16 which is 8 obtained by
24 = 2 × 2 × 2 × 3
16 = 2 × 2 × 2
To know more on highest common factor
https://brainly.com/question/802960
#SPJ4
Two planes start from Los Angeles International Airport and fly in opposite directions. The second plane starts 1 2 hour after the first plane, but its speed is 80 kilometers per hour faster. Two hours after the first plane departs, the planes are 3165 kilometers apart. Find the airspeed of each plane.
Answers
Let's start by defining some variables: Let x be the airspeed of the first plane in kilometers per hour.
Then the airspeed of the second plane is x+80 km/h.
Let t be the time in hours that the first plane flies before the second plane starts.
After two hours, the first plane has flown for t+2 hours, and the second plane has flown for t hours. To solve for the airspeeds, we need to use the formula: distance = rate x time.
The distance the planes fly in opposite directions is the sum of the distances each plane flies:
distance = (x)(t+2) + (x+80)(t), We are told that after two hours, the planes are 3165 kilometers apart, so we can set up an equation: 3165 = (x)(t+2) + (x+80)(t).
Simplifying this equation:
3165 = xt + 2x + xt + 80t + 80
3165 = 2xt + 82t + 2x + 80
3165 = 2t(x+40) + 2x + 80
3085 = 2t(x+40) + 2x
Now we can solve for x:
3085 = 2t(x+40) + 2x
3085 = 2tx + 80t + 2x
3085 = 4tx + 80t
38.5625 = tx + 20t
1.928125 = x + 20
So the airspeed of the first plane is x = 1.928125 - 20 = 18.071875 km/h.
The airspeed of the second plane is x+80 = 18.071875 + 80 = 98.071875 km/h. Let's denote the airspeed of the first plane as x km/h and the airspeed of the second plane as (x + 80) km/h.
Since the planes fly in opposite directions, the sum of the distances they travel is equal to the distance between them, which is 3165 km. Therefore, we can write the equation: 2x + 1.5(x + 80) = 3165
Now we can find the airspeed of the second plane: x + 80 = 870 + 80 = 950 km/h, So, the first plane's airspeed is 870 km/h and the second plane's airspeed is 950 km/h.
To know more about variable click here
brainly.com/question/2466865
#SPJ11
assuming iq scores are normally distributed, with a mean of 100 and a standard deviation of 15. what percentage of test takers could you expect to score 115 or higher?
Answers
Answer:
16%
Step-by-step explanation:
1) Mean, u = 100
standard deviation, o = 15
Score specified = x = 115
so, z-score = (x - u)/o
= (115 - 100)/15 = 1
From the probability standard normal distribution curve, 84.13% of the test scores falls within 1 SD (z score = 1), so, the percentage of test scores below 115 is 84.13%, so, for the percentage of test scores of 115 or higher = 100% - 84.13% = 16%.
Therefore, the correct answer is 16%.
Plz help ASAP I will mark brainleist.
Answers
Answer:
The 4th one!
Step-by-step explanation:
Answer:
the answer is number 4 for the question
Remove all perfect squares from inside the square root. Assume aaa is positive.
\sqrt{27a}=
27a
Answers
27 is simple version of square root .
What in mathematics is a square root?
The factor we can multiply by itself to obtain a given number is the number's square root. The word "square root" is represented by the symbol "sqrt"—square root of, end square root. Squaring an integer is the reverse of finding its square root.The square root symbol or the nth root symbol is he. Expression with a square root is referred to as a radical expression.In mathematics, the square root is a factor that, when multiplied by itself, equals the original integer. As an illustration, the square roots of 9 are 3, and -3.√27a = 3√3a
square it
27a or 9 * 3a = 27a
Learn more about "square root"
brainly.com/question/3120622
#SPJ1
Suppose that X is a random variable with mean 20 and standard deviation 4. Also suppose that Y is a random variable with mean 40 and standard deviation 7. Find the mean and the variance of the random variable Z for each of the following cases. Be sure to show your work.
(a) Z = 40 - 5X
(b) Z = 15X - 20
(c) Z = X + Y
(d) Z = X - Y
(e) Z = -2X + 3Y
Answers
(a) The mean of Z in case (a) is -60 and the variance is 400.
(b) The mean of Z in case (b) is 280 and the variance is 3600.
(c) The mean of Z in case (c) is 60 and the variance is 65.
(d) The mean of Z in case (d) is -20 and the variance is 65.
(e) The mean of Z in case (e) is 80 and the variance is 505.
To find the mean and variance of the random variable Z for each case, we can use the properties of means and variances.
(a) Z = 40 - 5X
Mean of Z:
E(Z) = E(40 - 5X) = 40 - 5E(X) = 40 - 5 * 20 = 40 - 100 = -60
Variance of Z:
Var(Z) = Var(40 - 5X) = Var(-5X) = (-5)² * Var(X) = 25 * Var(X) = 25 * (4)² = 25 * 16 = 400
Therefore, the mean of Z in case (a) is -60 and the variance is 400.
(b) Z = 15X - 20
Mean of Z:
E(Z) = E(15X - 20) = 15E(X) - 20 = 15 * 20 - 20 = 300 - 20 = 280
Variance of Z:
Var(Z) = Var(15X - 20) = Var(15X) = (15)² * Var(X) = 225 * Var(X) = 225 * (4)² = 225 * 16 = 3600
Therefore, the mean of Z in case (b) is 280 and the variance is 3600.
(c) Z = X + Y
Mean of Z:
E(Z) = E(X + Y) = E(X) + E(Y) = 20 + 40 = 60
Variance of Z:
Var(Z) = Var(X + Y) = Var(X) + Var(Y) = (4)² + (7)² = 16 + 49 = 65
Therefore, the mean of Z in case (c) is 60 and the variance is 65.
(d) Z = X - Y
Mean of Z:
E(Z) = E(X - Y) = E(X) - E(Y) = 20 - 40 = -20
Variance of Z:
Var(Z) = Var(X - Y) = Var(X) + Var(Y) = (4)² + (7)² = 16 + 49 = 65
Therefore, the mean of Z in case (d) is -20 and the variance is 65.
(e) Z = -2X + 3Y
Mean of Z:
E(Z) = E(-2X + 3Y) = -2E(X) + 3E(Y) = -2 * 20 + 3 * 40 = -40 + 120 = 80
Variance of Z:
Var(Z) = Var(-2X + 3Y) = (-2)² * Var(X) + (3)² * Var(Y) = 4 * 16 + 9 * 49 = 64 + 441 = 505
Therefore, the mean of Z in case (e) is 80 and the variance is 505.
Learn more about Mean and Variance at
brainly.com/question/29253308
#SPJ4
Which expressions are equivalent to 3x 2(x − 1) − 4?.
Answers
Answer:
6x^2-6x-4
Step-by-step explanation:
Among 130 pupils, 30 liked both biscuits and chocolates, 10 liked neither and twice as many as liked biscuits liked chocolates.
I) How pupils liked: chocolates, biscuits and exactly one of the two.
Answers
The number of pupils who liked both biscuits and chocolates is 30.
The number of pupils who liked neither biscuits nor chocolates is 10.
Let's assume that the number of pupils who liked only biscuits is x, and the number of pupils who liked only chocolates is y.
According to the problem, twice as many pupils liked chocolates as those who liked biscuits. Mathematically, we can write this as:
y = 2x
Now, let's find the total number of pupils who liked at least one of the two:
Total = P(Biscuits) + P(Chocolates) - P(Biscuits and Chocolates)
Total = x + y + 30
Total = x + 2x + 30
Total = 3x + 30
We know that the total number of pupils is 130, and the number of pupils who liked neither is 10. Therefore,
Total = P(All pupils) - P(Neither)
130 = x + y + 30 + 10
130 = x + y + 40
130 - 40 = x + y
90 = x + y
We can now solve these two equations to get the values of x and y:
3x + 30 = 90
3x = 60
x = 20
y = 2x = 40
Therefore, 20 pupils liked only biscuits, 40 pupils liked only chocolates, and 30 pupils liked both biscuits and chocolates. And, 40 pupils liked exactly one of the two.
To learn more about values here
https://brainly.com/question/30145972
#SPJ1
Which term refers to coordination, balance, and orientation in three-dimensional space?
Answers
Equilibrium is the term refers to coordination, balance, and balance in three dimensional space.
The equilibrium condition of an object exists when Newton's first law is valid. An object is in equilibrium in a reference coordinate system when all external forces (including moments) acting on it are balanced. This means that the net result of all the external forces and moments acting on this object is zero.
There are three types of equilibrium: stable, unstable, and neutral.
Examples of equilibrium in everyday life:
A book kept on a table at rest. A car moving with a constant velocity. A chemical reaction where the rates of forward reaction and backward reaction are the same.
Learn more about equilibrium here: https://brainly.com/question/13463225
#SPJ4
Due to a drought, the water level of a pond is 7 feet below
normal level. After a rainy month, the pond's water level rose
2 1/3 feet. Where is the pond's current water level in relation to
its normal water level?
Answers
Answer:
-4 2/3 ft
Step-by-step explanation:
Relative to normal, the current level is found by adding the increase to the level before the increase:
-7 ft + 2 1/3 ft = -4 2/3 ft
Answer:
4 and 2/3 below normal water level
A bathtub is in the shape of a rectangular prism. The volume of the bathtub is 72 cubic feet. The area of the base of the bathtub is 24 square feet.
What is the height of the bathtub in feet?
A. 3ft
B. 4ft
C. 9ft
D. 6ft
Answers
Answer:
3ft or option A.
Step-by-step explanation:
The formula for the volume of a rectangular prism is V = lwh, where l, w, and h represent the length, width, and height, respectively.
In this problem, we are given that the volume of the bathtub is 72 cubic feet and the area of the base is 24 square feet. We can use the formula for the volume to solve for the height.
V = lwh
72 = 24h
Simplifying the equation, we get:
3 = h
in the regression of the general fertility rate (gfr) on the tax personal exemption (pe) and its first lag the fitted regression is: what is the impact propensity?
Answers
The impact propensity can be interpreted as the slope coefficient for the tax personal exemption (pe) or its first lag in
the regression equation.
To determine the impact propensity in the regression of the general fertility rate (GFR) on the tax personal exemption
(PE) and its first lag, you should follow these steps:
Estimate the regression model using the available data. The model should look like this:
GFR = β0 + β1 × PE + β2 × PE_lag + ε
Where GFR is the general fertility rate, PE is the tax personal exemption, PE_lag is the tax personal exemption's first
lag, and ε is the error term.
Obtain the estimated coefficients (β0, β1, and β2) from the fitted regression model.
These coefficients will help you determine the impact propensity.
Calculate the impact propensity. The impact propensity in this context refers to the change in the general fertility rate
resulting from a one-unit increase in the tax personal exemption, taking into account both its current and lagged
effects.
To find the impact propensity, sum the coefficients for the tax personal exemption and its first lag:
Impact propensity = β1 + β2
for such more question on propensity
https://brainly.com/question/20376297
#SPJ11
examine the values of f along the curves that end at (0,0). Along which set of curves is f a constant value?
options:
y= kx^2
y= kx +kx^2
y=kx^3
y=kx
f(x,y) tends to (0,0)
Answers
Along the set of curves given by y = kx, the function f(x, y) will have a constant value as it tends to (0, 0). The correct answer is option d.
To determine along which set of curves the function f(x, y) is a constant value, we need to evaluate the function along each curve and observe where the values remain constant.
Curve: y = kx^2
Let's substitute this curve equation into the function f(x, y):
f(x, y) = f(x, kx^2)
Since we are interested in the values of f along the curves that end at (0, 0), we need to evaluate the function as we approach this point. Let's consider the limit as (x, y) approaches (0, 0):
Lim(f(x, kx^2)) as (x, y) -> (0, 0)
Evaluating this limit is necessary to determine whether f remains constant or approaches a specific value as (x, y) approaches (0, 0). Without further information about the function f, we cannot make a definitive conclusion for this curve.
Curve: y = kx + kx^2
Substituting this curve equation into f(x, y):
f(x, y) = f(x, kx + kx^2)
As before, let's evaluate the limit as (x, y) approaches (0, 0):
Lim(f(x, kx + kx^2)) as (x, y) -> (0, 0)
Similarly, without more information about the function f, we cannot determine if it remains constant or approaches a specific value along this curve.
Curve: y = kx^3
Substituting this curve equation into f(x, y):
f(x, y) = f(x, kx^3)
Evaluating the limit as (x, y) approaches (0, 0):
Lim(f(x, kx^3)) as (x, y) -> (0, 0)
Once again, without additional information about f, we cannot ascertain whether it remains constant or approaches a specific value along this curve.
Curve: y = kx
Substituting this curve equation into f(x, y):
f(x, y) = f(x, kx)
Evaluating the limit as (x, y) approaches (0, 0):
Lim(f(x, kx)) as (x, y) -> (0, 0)
Here, we can observe that as (x, y) approaches (0, 0), the value of f(x, kx) will depend only on x (since y = kx). Therefore, along this set of curves, f will be a constant value because it does not depend on the value of y or the specific choice of the constant k.
In conclusion, along the set of curves defined by y = kx, the function f(x, y) is a constant value as (x, y) approaches (0, 0). Hence, the correct answer is option d.
To know more about curves refer here:
https://brainly.com/question/25915496#
#SPJ11
7. what is the name of the rhythm with an atrial rate greater than 250 beats per minute, a non-measurable pr interval, and a ventricular rate of 120?
Answers
The name of the rhythm with an atrial rate greater than 250 beats per minute, a non-measurable pr interval, and a ventricular rate of 120 is
Atrial flutter with uncontrolled ventricular rate.What is atrial flutter?The atria, or top chambers of the heart, beat too fast in atrial flutter. As a result, the heart beats quickly yet typically in a regular rhythm.
An example of a heart rhythm disturbance (arrhythmia) brought on by issues with the heart's electrical circuitry is atrial flutter.
Atrial fibrillation, a frequent disease that causes the heart to pulse irregularly, is comparable to atrial flutter.
Atrial flutter patients have a cardiac rhythm that is less erratic and more controlled than atrial fibrillation patients. A person may occasionally have both atrial flutter and atrial fibrillation in the same episode.
Learn more about atrial flutter at:
https://brainly.com/question/26012470
#SPJ1
rewrite ∫ 2π 0 ∫ √2 1 ∫ √2−r2 −√2−r2 r dz dr dθ in spherical coordinates
Answers
The integral in spherical coordinates is:
∫π 0 ∫π/4 0 ∫√(2-r^2)cos(φ) −√(2-r^2)cos(φ) ρ^2 sin(φ) dρ dφ dθ.
To rewrite the given integral in spherical coordinates, we first need to express the integrand in terms of spherical coordinates. We have:
z = ρ cos(φ)
r = ρ sin(φ) cos(θ)
x^2 + y^2 = ρ^2 sin^2(φ) = ρ^2 - z^2
Solving for ρ, we get:
ρ^2 = x^2 + y^2 + z^2 = r^2 + z^2
ρ = √(r^2 + z^2)
Substituting these expressions, we get:
∫2π 0 ∫√2 1 ∫√2−r^2 −√2−r^2 r dz dr dθ
= ∫π 0 ∫π/4 0 ∫√(2-r^2)cos(φ) −√(2-r^2)cos(φ) ρ^2 sin(φ) dρ dφ dθ
So the integral in spherical coordinates is:
∫π 0 ∫π/4 0 ∫√(2-r^2)cos(φ) −√(2-r^2)cos(φ) ρ^2 sin(φ) dρ dφ dθ.
Learn more about spherical coordinates here:
https://brainly.com/question/4465072
#SPJ11
X-4y=28 in slope intercept form
Answers
Answer:
y = 1/4x - 7
Step-by-step explanation:
Slope intercept form is y=mx+b
To turn the equation into slope intercept you would have to re-arrange it making sure to do the same thing on both sides.
x - 4y = 28
- x -x
-4y = -x + 28
Now divide both sides by -4
y = 1/4x -7
If you have any questions let me know. Hopefully this helps and have a great day!
The equation x - 4y = 28 can be written in slope-intercept form as y = (1/4)x - 7.
Given is an equation x - 4y = 28, we need to convert this in slope-intercept form,
To convert the equation x - 4y = 28 into slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept, we need to isolate the variable y.
Starting with the given equation:
x - 4y = 28
We can begin by moving the x term to the other side of the equation:
-4y = -x + 28
Next, we divide both sides of the equation by -4 to isolate y:
y = (-1/-4)x + (28/-4)
Simplifying further:
y = (1/4)x - 7
Now we have the equation in slope-intercept form, with a slope of 1/4 and a y-intercept of -7.
Learn more about slope-intercept form click;
https://brainly.com/question/29146348
#SPJ6