Answer:
a) \(\frac{1}{x^3}\)
b) \(\frac{1}{a^2}\)
Step-by-step explanation:
Reciprocal of a number is 1 divided by that number
We need to find reciprocal of x^3 and a^2. To find the reciprocal we will do is: 1 divided by the given number
a) Reciprocal of x^3
\(=\frac{1}{x^3}\)
b) Reciprocal of a^2
\(=\frac{1}{a^2}\)
The value of y is directly proportional to the value of x. When x = 3.5, the value of y is 14.
What is the value of y when x = 28?
Record your answer and fill in the bubbles on your answer document.
The value of y when x = 28 is y = 112. Since y is directly proportional to the value of x, we can write y = kx.
What is meant by directly proportional?When a quantity 'p' is increasing with an increase in the other quantity 'q' or decreases with a decrease in 'q', both quantities are said to be directly proportional.
I.e., p ∝ q ⇔ p = kq
Where k is the proportionality constant.
Calculation:It is given that, the value of y is directly proportional to the value of x.
I.e., y ∝ x
Then, y = kx
If x = 3.5 and y = 14, then k is
k = y/x = 14/3.5 = 4
So, if k = 4 and x = 28, then y is
y = kx = 4 × 28 = 112
Therefore, the value of y is 11.
Learn more about direct proportionality here:
https://brainly.com/question/13354953
#SPJ1
a list of numbers is considered increasing if each value after the first is greater than or equal to the preceding value. the following procedure is intended to return true if numberlist is increasing and return false otherwise. assume that numberlist contains at least two elements.
Option C is the correct option for the given problem; let’s consider all options and identify the different reasons in the number list.
How would we write this code?From the second element (index 1) through the last element, this procedure iterates through the list of numbers using a for loop. It determines whether the current number is lower than the previous number after each repetition. If it is, the process gives a prompt False response, meaning that the list is not growing.
The procedure returns True, indicating that the list is growing, if the for loop concludes without running into a number that is less than the number it encountered before.
According to the issue definition, this technique implies the list has at least two elements. This guarantees that the for loop will always have a previous number to compare to.
Comments are written in italic to explain the code
Line 1: PROCEDURE Is Increasing(numberList)//start Is Increasing procedure with a list number List
Line 2: {//start procedure
Line 3: count<-2//set count to be 2
Line 4: REPEAT UNTIL (count -> LENGTH(numberList)//repeat from element 2 to last
Line 5: {//start repeat
Line 6: IF(numberList[count] < numberList[count-1]//if previous number is greater
Line 7: {//start if
Line 8: RETURN(true)//return true as next is greater than
Line 9: }//end if
Line 10: count<- count +1//increment to next element
Line 11: }//end repeat
Line 12: RETURN (false)//return false
Line 13: }//end procedure
To learn more about code here:
brainly.com/question/29328443
#SPJ4
Complete question is:
A list of numbers is considered increasing if each value after the first is greater than or equal to the preceding value. The following procedure is intended to return true if numberList is increasing and return false otherwise. Assume that numberList contains at least two elements. PROCEDURE isIncreasing(numberList) Tue 61 Line 1: Line 2: { Line 3: count 2 Line 4: REPEAT UNTIL(count > LENGTH(numberList)) Line 5: } IF(numberList[count] < numberList[count - 1]) Line 6: Line 7: To entd Line 8: RETURN(true) :80 onij { count count + 1 Line 9: Line 10: er onil Line 11: } Line 12: RETURN(false) BELAS(ConuE) Line 13: } Which of the following changes is needed for the program to work as intended? Lines 8 and 12 should be interchanged. c. In line 6, < should be changed to >=. a. b. Lines 10 and 11 should be interchanged. d. In line 3, 2 should be changed to 1. 3.
Perform the indicated operation.
6/y-z - 2/y-z
1. -4/y+z
2. -4/y-z
3. 4/y-z
4. 4/y+z
The value of the given expression 6/(y-z) - 2/(y-z) is 4/(y-z). Option 3 is the correct answer.
What are like terms?In algebra, like terms are those in which the same variable(s) are raised to the same power (s). Because they both have the same variable (y) raised to the same power, the expressions 2xy and -5y are similar (1). When combining terms that have similar coefficients, it's important to preserve the exponent and variable constants.
The given expression is 6/(y-z) - 2/(y-z).
Simplifying the expression by combining the like terms we have:
(6 - 2)/(y-z) = 4/(y-z)
Hence, the value of the given expression is option 3 4/(y-z).
Learn more about expressions here:
https://brainly.com/question/14083225
#SPJ1
Please help !!!!!!!!
Answer:
Step-by-step explanation:
Use the distributive property to simplity 3 (4x + 8).
7x+8
7x + 24
12x + 8
12x + 24
Answer:
d) 12x + 24
Step-by-step explanation:
Fill the empty slots by dragging tiles from the left to show the next step for solving the equation. 14a=84
Answer:
a=6
Step-by-step explanation:
We are given that an equation
\(14a=84\)
We have to solve the equation
To solve the equation we will use division property of equality
By using division property of equality
We get
\(a=\frac{84}{14}\)
\(a=\frac{14\times 6}{14}\)
\(a=6\)
Hence, a=6
Shama’s age is three times the age of her son Ankit. 10 years ago Shama
was 5 times the age of Ankit. Find the present age of Shama.
Answer:
Step-by-step explanation:
Let sharma age be S and Ankit age be A
S = 3a
(s-10) = 5(a-10)
substitute 1 in 2
3a-10 = 5a -50
40 = 2a
a = 20
s = 3 * 20 = 60
Evaluate the following expression: (show work)
3x^2 – 4^3 – 4^3 – z
If x =3, y =–2 and z=-5
Let X be the number of students who show up for a professor's office hour on a particular day. Suppose that the pmf of X is p(0) = .20, p(1) = .25, p(2) = .30, p(3) = .15, and p(4) = .10. a. Draw the corresponding probability histogram. b. What is the probability that at least two students show up? More than two students show up? c. What is the probability that between one and three students, inclusive, show up?
d. What is the probability that the professor shows up?
a) The probability histogram of pmf for the number of students who show up for a professor's office hour on a particular day is shown below.
b) The probability that at least two students show up = 0.55 and the probability that more than two students show up = 0.25
c) The probability that between one and three students show up = 0.7
d) The probability that the professor shows up = 0.20
First we write the number of students who show up for a professor's office hour on a particular day and their pmf in tabular form.
x p(x)
0 0.20
1 0.25
2 0.30
3 0.15
4 0.10
The probability histogram of this data is shown below.
The probability that at least two students show up would be,
P(x ≥ 2) = p(2) + p(3) + p(4)
P(x ≥ 2) = 0.30 + 0.15 + 0.10
P(x ≥ 2) = 0.55
Now the probbability that more than two students show up:
P(x > 2) = p(3) + p(4)
P(x > 2) = 0.15 + 0.10
P(x > 2) = 0.25
The probability that between one and three students show up would be:
P(1 ≤ x ≤ 3) = p(1) + p(2) + p(3)
P(1 ≤ x ≤ 3) = 0.25 + 0.30 + 0.15
P(1 ≤ x ≤ 3) = 0.7
And the probability that the professor shows up would be: p = 0.20
Learn more about the probability here:
https://brainly.com/question/15124899
#SPJ4
how does the sample size and percentage of confidence influence the width of a confidence interval?
As a result, the width of the confidence interval will rise as the sample size is reduced.
Define confidence interval.An area created using fixed-size samples of data from a population (sample space) that follows a particular probability distribution is known as a confidence interval. A selected population statistic is built into the interval with a specified probability.
Given,
What causes a confidence interval's width to grow?
The confidence interval widens as the confidence level does. The only option to get more accurate population estimates, assuming the confidence level is fixed, is to reduce sampling error. The standard error statistic assesses sampling error.
When sample size is reduced, what happens to the width of the confidence interval?
As a result, the width of the confidence interval will rise as the sample size is reduced.
To learn more about confidence interval, visit:
https://brainly.com/question/24131141
#SPJ4
Pleas help! this is very hard!
Answer:
190
72
36
Step-by-step explanation:
Answer:
190
72
36
hope that helps
5. The area of a rectangular plot 50m long is 1500 sqm. Find the width of the rectangular plot.
Answer:
area = length * width
1,500 = 50 m * width
width = 1,500 / 50
width = 30 meters
Step-by-step explanation:
Anya charges $40 for 5 hours of babysitting. Lionel charges $14 for 2 hours of babysitting. Which babysitter charges the cheapest rate?
Answer:
Step-by-step explanation:
sdfasdfffffffffff sdf sdf sdf sdf sdf sdf sdf
Answer:
Step-by-step explanation:
Anyas rate per hour = 40 ÷ 5 = 8
Lionel rate per hour = 14 ÷ 2 = 7
So the cheapest is Lionel
Can anyone help please this question!
Answer I blive is is 8
Step-by-step explanation:
Find the indicated function values. f(x) = (-x)3 -x²-x+ a. f(0) b. f(5) c. f(-5) d. f(2) + f(-2) a. f(0) = (Simplify your answer.) b. f(5) = (Simplify your answer.) c. f(-5) = (Simplify your answer.) d. f(2) + f(-2)= (Simplify your answer.) ... Use the table below to find the indicated function values. X h(x) 6 3 0 3 6 a. h(-6) b. h(6) c. For what values of x is h(x) = 6? 6 - 3 0 3 6 a. h(- 6) = b. h(6) = c. For what values of x is h(x)=6? X= (Use a comma to separate answers as needed.) > > X Using the tables that define f and g, determine whether the following statement is true or false. f(x) X g(x) - 1 -7 -7 -1 - 8 -2 -2 -8 f(-1)-f(-2)=1 -2 - 8 - 8 - 2 -7 - 1 - 1 -7 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. OA. True OB. False; f(- 1) - f(− 2) = O
To find the indicated function values for the function f(x) = (-x)^3 - x^2 - x + a, let's substitute the given values of x into the function.
a) f(0):
Substituting x = 0 into the function, we have:
f(0) = (-(0))^3 - (0)^2 - (0) + a
f(0) = 0 - 0 - 0 + a
f(0) = a
Therefore, f(0) = a.
b) f(5):
Substituting x = 5 into the function, we have:
f(5) = (-(5))^3 - (5)^2 - (5) + a
f(5) = -125 - 25 - 5 + a
f(5) = -155 + a
Therefore, f(5) = -155 + a.
c) f(-5):
Substituting x = -5 into the function, we have:
f(-5) = (-(-5))^3 - (-5)^2 - (-5) + a
f(-5) = 125 - 25 + 5 + a
f(-5) = 105 + a
Therefore, f(-5) = 105 + a.
d) f(2) + f(-2):
Substituting x = 2 into the function, we have:
f(2) = (-2)^3 - (2)^2 - (2) + a
f(2) = -8 - 4 - 2 + a
f(2) = -14 + a
Substituting x = -2 into the function, we have:
f(-2) = (-(-2))^3 - (-2)^2 - (-2) + a
f(-2) = 8 - 4 + 2 + a
f(-2) = 6 + a
Therefore, f(2) + f(-2) = (-14 + a) + (6 + a) = -8 + 2a.
To summarize:
a) f(0) = a
b) f(5) = -155 + a
c) f(-5) = 105 + a
d) f(2) + f(-2) = -8 + 2a.
Now let's move on to the second part of the question.
Using the provided table for the function h(x):
X | h(x)
6 | 3
0 | 3
6 | ?
a) h(-6):
Looking at the table, we don't have a value for h(-6).
b) h(6):
From the table, h(6) = 3.
c) For what values of x is h(x) = 6?
Looking at the table, there is no x value where h(x) equals 6.
Therefore:
a) h(-6) = N/A
b) h(6) = 3
c) For what values of x is h(x) = 6? None.
Finally, let's analyze the given statement regarding the functions f(x) and g(x):
f(x) | g(x)
-1 | -7
-7 | -1
-8 | -2
-2 | -8
The statement is: f(-1) - f(-2) = -2 - (-8) = -2 + 8 = 6.
The statement f(-1) - f(-2) = 6 is false because the actual result is 10, not 6.
Therefore, the correct choice is:
OB. False; f(-1) - f(-2) = 10.
Learn more about function here:
https://brainly.com/question/30721594
#SPJ11
If the heights of 99.7% of American men are between 5'0"
and 7'0", what is your estimate of the standard deviation of
the height of American men? (Assume the heights of
American Men are Normally Distributed).
A.) 1"
B.) 2"
C.) 4"
D.) 6"
E.) 12"
1 standard deviation = 8 inches. the answer is OPTION E
We know that 99.7% of American men have heights between 5'0" and 7'0". Since height is normally distributed, we can use the empirical rule to estimate the standard deviation.
According to the empirical rule, 99.7% of the data falls within 3 standard deviations of the mean. Therefore, we can say that the range of heights from 5'0" to 7'0" is 3 standard deviations.
We can use this information to estimate the standard deviation as follows:
Range of heights = 7'0" - 5'0" = 2 feet
3 standard deviations = 2 feet
1 standard deviation = 2/3 feet
1 foot = 12 inches
Therefore, 1 standard deviation = 2/3 * 12 inches = 8 inches
So, our estimate of the standard deviation of the height of American men is 8 inches. Therefore, the answer is OPTION E in the given options.
To know more about standard deviation refer to-
https://brainly.com/question/23907081
#SPJ11
Complete question
If the heights of 99.7% of American men are between 5'0"
and 7'0", what is your estimate of the standard deviation of
the height of American men? (Assume the heights of
American Men are Normally Distributed).
A.) 1"
B.) 2"
C.) 4"
D.) 6"
E.) 8"
Write a real-world problem that you could represent with the equation. 4x + 5 = 37. Solve the equation to find the answer to your question
Answer:
8 people went
Step-by-step explanation:
A school is going to the movies. The tickets cost 4 dollars per person with a 5-dollar entry fee. If the trip costs 37 dollars, how many people went?
ten less the the quotient of a number and 3 is 8
x/3-10=8
Add 10 to each side x/3=18 Multiply by 3
Answer:
x/3 - 10 = 8
Step-by-step explanation:
It seems like you want me to provide an equation, so here it is:
10 less equates to "minus 10", or "10 minus". [-10]
Quotient refers to division, and "a number" can be replaced with a variable: x. This is our numerator. Our denominator is "3", as it states, "and 3". Finally, the "is" statement refers to equality, and we can replace this with the equal sign.
Putting these all together, you get the equation, x/3 - 10 = 8.
PLS helppppppppppppp
Answer:
y=-5, x=-1
Step-by-step explanation:
y=5x
/5 /5
y/5=x
y=9(y/5)+4
y=-5
-5=5x
/5 /5
-1=x
what is the probability that exactly two of the marbles are red? the probability that exactly two of the marbles are red is
The probability that exactly two of the marbles are red depends on the total number of marbles and the number of red marbles in the set. Let's assume we have a set of 10 marbles and 4 of them are red.
We can use the binomial probability formula to calculate the probability of exactly two red marbles. This formula is: P(X=k) = (n choose k) * p^k * (1-p)^(n-k), where n is the total number of marbles, k is the number of red marbles, p is the probability of drawing a red marble and (1-p) is the probability of drawing a non-red marble. Using this formula, we get: P(X=2) = (10 choose 2) * (4/10)^2 * (6/10)^8 = 0.3024 or approximately 30.24%. Therefore, the probability that exactly two of the marbles are red is 0.3024 or 30.24%.
To learn more about probability, visit:
https://brainly.com/question/14950837
#SPJ11
The Weslaco Pacesetters perform between 4
dances in a week. How many dances do they
perform in two months?
Answer:
4 per week, 4weeks per month(8weeks)
4*8=32
Answer:
32 dances
Step-by-step explanation:
4 weeks in a month, 4 dances a week equals 16
16 time 2 equals 32
pls help asap tysm 3
Answer:
I'm pretty sure the answer is 0.45. I got this by dividing 1.35 by 3 which gave me 0.45. And to check it, I multiplied 0.45 by 3, snice the formula for area is multiplying.
two students in mrs.johnson's preschool class are stacking blocks,are 4 cm height, and maddy's blocks are 9 cm high. how tall will their stacks be when they are the same height for the first time.
36 cm tall will their stacks be when they are the same height for the first time.
Given,
Two students in Mrs. Johnson's preschool class are stacking blocks:
The height of Reece's block = 4 cm
The height of Maddy's block = 9 cm
We have to find the height of the stacks when they are same height for the first time.
Here,
We have to find the least common multiple.
Least Common Multiple (LCM):
The smallest number that is a multiple of both of two numbers is called the least common multiple.
So here,
We have to find the least common multiple of 4 and 9.
Here, the least common multiple of 4 and 9 = 36
Then,
36 cm tall will their stacks be when they are the same height for the first time.
Learn more about least common multiple here:
https://brainly.com/question/18448883
#SPJ1
And the order goes in
J
K
L
M
please help and don’t just guess and put a wrong answer for points I’m stressed
Answer:
J; (1, -10)
K; (-1, -10)
L; (1,-8)
M; (-1, -8)
Step-by-step explanation:
I double-checked and they are all right. hope this helps!
solve the equation -6=2(w+5)
Find the total surface area of a right cylinder with a radius of 3 inches and a height of 17 inches. Round to the nearest tenth.
Answer:
Step-by-step explanation:
Find the total surface area of a right cylinder with a radius of 3 inches and a height of 17 inches. Round to the nearest tenth.
Your
Point m is on line segment \overline{ln} ln . given mn=3x,mn=3x, ln=4x+9,ln=4x+9, and lm=2x+7,lm=2x+7, determine the numerical length of \overline{lm}. lm .
Considering the equations for the length of each segment, the numerical length of line ln is of 17 units.
What is the length of line segment ln?Line segment ln is divided by the point m, hence the length of the line can be written according to the following equation:
ln = lm + mn.
The measures are given as follows:
ln = 4x + 9.lm = 2x + 7.mn = 3x.Hence, using the equation we can solve for x, as follows:
ln = lm + mn.
4x + 9 = 2x + 7 + 3x
5x + 7 = 4x + 9
x = 2.
Hence the numerical length of line ln is given by:
ln = 4x + 9 = 4(2) + 9 = 8 + 9 = 17 units.
More can be learned about the length of a line at https://brainly.com/question/24778489
#SPJ1
(Best Answer gets BrainLiest)
Find the missing value in the table.
The missing value is [??]
Answer:
20
Step-by-step explanation:
You can find this answer multiple ways.
One way is that each y value increases by 5 so following the pattern of 5, 10, 15 the next one would be 20.
Another way is that the the x value is 3 times the y value so we would just have to divide 60 by 3 to get 20.
Answer: 20
Step-by-step explanation:
y is a result of dividing x by 3
15/3 = 5
30/3 = 10
...
60/3 = 20
Help me with this...
i. 171
ii. 162
iii. 297
Solution,
n(U)= 630
n(I)= 333
n(T)= 168
i. Let n(I intersection T ) be X
\(333 - x + x + 468 - x = 630 \\ or \: 333 + 468 - x = 630 \\ or \: 801 - x = 630 \\ or \: - x = 630 - 801 \\ or \: - x = - 171 \\ x = 171\)
ii.n(only I)= n(I) - n(I intersection T) = 333 - 171 = 162iii. n ( only T)= n( T) - n( I intersection T) = 468 - 171 = 297Venn- diagram is shown in the attached picture.Hope this helps...
Good luck on your assignment...
there are 10 bags containing tickets numbered 1 to 20. ten students draw a ticket from each bag. one student drew tickets with the numbers: 5, 8, 18, 1, 14, 6, 8, 13, 8, 19 select the option that shows the correct mean, median, and mode.
The mean, median, and mode are:
Mean = 10
Median = 8
Mode = 8
To find the mean, median, and mode of the given set of numbers: 5, 8, 18, 1, 14, 6, 8, 13, 8, 19, we can perform the following calculations:
Mean: The mean is calculated by summing up all the numbers and dividing by the total count of numbers.
Mean = (5 + 8 + 18 + 1 + 14 + 6 + 8 + 13 + 8 + 19) / 10
= 100 / 10
= 10
Therefore, the mean is 10.
Median: The median is the middle value when the numbers are arranged in ascending order. If there are an odd number of values, the median is the middle number. If there are an even number of values, the median is the average of the two middle numbers.
Arranging the numbers in ascending order: 1, 5, 6, 8, 8, 8, 13, 14, 18, 19
Since there are 10 numbers, the median is the average of the two middle numbers, which are the 5th and 6th numbers:
Median = (8 + 8) / 2
= 16 / 2
= 8
Therefore, the median is 8.
Mode: The mode is the number(s) that appear(s) most frequently in the set.
In this case, the number 8 appears three times, which is more than any other number.
Therefore, the mode is 8.
To know more about mean, median, and mode refer here:
https://brainly.com/question/30891252#
#SPJ11