Answer:
a negative integer
Step-by-step explanation:
We can first establish basic rules that we can apply:
the product of one negative integer:
-1 = -1
(odd number = negative)
the product of two negative integers:
-1 · -1 = 1
(even number = positive)
the product of three negative integers:
-1 · -1 · -1 = 1 {-1 · -1 = 1, 1 · -1 = -1}
(odd number = negative)
the product of four negative integers:
-1 · -1 · -1 · -1 = 1
(even number = positive)
So, we can understand that an even number of integers changes the original value to its negative/positive [the opposite +/- sign from the original number], whilst an odd number of integers does not change the +/- sign.
So, because 23 is an odd number, the product will stay negative.
Susan had four bags of candy, each weighing 6 ounces. Isabel had one bag of candy weighing 1 pounds. Which girl has the more candy in weight? Your work will justify your answer.
Susan has more candy in weight compared to Isabel.
To compare the candy weights between Susan and Isabel, we need to ensure that both weights are in the same unit of measurement. Let's convert Isabel's candy weight to ounces for a fair comparison.
Given:
Susan: 4 bags x 6 ounces/bag = 24 ounces
Isabel: 1 bag x 16 ounces/pound = 16 ounces
Now that both weights are in ounces, we can see that Susan has 24 ounces of candy, while Isabel has 16 ounces of candy. As a result, Susan is heavier on the candy scale than Isabel.
for such more question on weight
https://brainly.com/question/24191825
#SPJ8
The cooking club made some pies to sell at a basketball game to raise money for the new books. The cafeteria contributed four pies to the sale. Each pie was then cut into into five pieces and sold. There were a total of 60 pieces to sell. How many pies did the club make?
Answer:
Total Pieces Sold=60
Pieces contributed by the cafeteria=20
Pieces contributed by the clubs=x
We can solve this problem by creating an equation to relate these terms:
Total Pieces Sold= (pieces contributed by the cafeteria) + (pieces contributed by the clubs)
Our equation is therefore: 60=20+x. We solve for x:
60-20=x
40=x
This means the clubs contributed 40 pieces. To find out how many pies that equals, we can use the relationship:
(40 pieces)/(y pies) = (5 pieces)/(1 pie). Solve for y:
(1)(40)=(5)(x)
(40/5)=x
8=x
So The clubs contribute 8 pies.
Step-by-step explanation: Hope this helped you!
PRETEST: The Number System
What is the fractional equivalent of the repeating decimal 0.2?
0339
off
O
O
6/N
27
5 of 13 QUESTIONS
SUBMIT
The fractional equivalent of the repeating decimal 0.2 is 2/9
How to determine the fractional equivalent of the repeating decimalFrom the question, we have the following parameters that can be used in our computation:
Repeating decimal = 0.2
Represent properly
So, we have
Repeating decimal = 0.2222
Express as fraction
So, we have
Fraction = 2/(10 - n)
In this case
n = 1
So, we have
Fraction = 2/(10 - 1)
Evaluate
Fraction = 2/9
Hence, the fractional equivalent is 2/9
Read more about repeating decimal at
https://brainly.com/question/12407250
#SPJ1
(a) how many 8-bit strings have at least two consecutive 0's or two consecutive 1's? (b) how many 8-bit strings do not begin with 000?
Part a:
All numbers from 0 and 28 = 256 could be represented using an 8 bit string.
Starting at number 1, 2, 3, 4, 5, 6, or 7, two consecutive zeros can be used.
Strings of the type [0 0 x x x x x x] begin at position 1.
The remaining 6 spots can be placed in 26 = 64 different ways.
Strings of the pattern [1 0 0 x x x x x] begin at position 2.
The remaining 5 spots can be placed in 25 => 32 different ways.
Consequently, the count for slots 3, 4, 5, 6, and 7 is 32.
Number of options = 64 + 32 + 32 + 32 + 32 + 32 + 32 + 32 – 10
Number of options = 246
Thus, There are a total of 246 scenarios in which 8-bit strings contain at least 2 sequential 0s or two consecutive 1s.
Part b:
Since there are two options for each of the remaining five bits, the total of 8-bit strings beginning with 000 is 25.
The overall number of unrestricted 8-bit strings is 2^8.
As a result, the number all 8-bit sequences that do not commence with 000 is2^8 - 2^5.
To know more about the 8-bit strings, here
https://brainly.com/question/14927057
#SPJ4
Which function is the inverse of f(x) = 8x + 4?A. 5-18) = —841 – 4)B. 7-14x) = 554OC. 5-11%) = 8.1 – 4)OD. 1x) = -1
ANSWER:
\(f^{-1}(x)=\frac{x-4}{8}\)STEP-BY-STEP EXPLANATION:
We have the following function:
\(f(x)=8x+4\)We calculate the inverse function as follows:
\(\begin{gathered} x=8\cdot f^{-1}(x)+4 \\ 8\cdot f^{-1}(x)=x-4 \\ f^{-1}(x)=\frac{x-4}{8} \end{gathered}\)There are 72 6th graders, 18 chose popularity, what is the percentage of 6th graders that chose popularity?
a small petting zoo has llamas and kangaroos there are 120 lengs and 47 heads on this farm . how many llamas nd how many kangaroos does the farm have
The number of llamas in the petting zoo has 13, and the number of kangaroos is 34.
Let the number of llamas in the petting zoo be x, and the number of kangaroos in the petting zoo be y.
Thus, we can write two equations from the given conditions:
Equation 1: x + y = 47
Equation 2: 4x + 2y = 120
(since each llama has 4 legs and each kangaroo has 2 legs)
Simplifying equation 2:2x + y = 60
Now we have two equations with two unknowns.
To solve them, we can either use substitution or elimination.
Using substitution, we can solve equation 1 for y in terms of x:y = 47 - x
Now we substitute this expression for y in equation 2:2x + (47 - x) = 60
Simplifying: x + 47 = 60x = 13
Now we can use either equation 1 or 2 to find y:x + y = 47y = 47 - xy = 47 - 13y = 34
Therefore, the petting zoo has 13 llamas and 34 kangaroos.
To know more about similar question visit:
https://brainly.com/question/16625661
#SPJ11
how to solve 5/6=v+2/7
Answer:
5/6 = v + 2/7
Step-by-step explanation:
5/6 = v + 2/7
23/42 - v = 0
5/6 = 1/7 (7 v + 2)
Answer:
23/42 = v
Step-by-step explanation:
5/6=v+2/7
Multiply each side by the common denominator, 42
42( 5/6=v+2/7)
35 = 42v + 12
Subtract 12 from each side
35-12 = 42v
23 = 42 v
Divide each side by 42
23/42 = v
Using the following weights:.3, 2, .5 find the forecast for the next period. Month 1 – 381, Month 2-366, Month 3 - 348. O a. 143 O b. 241 O c. 360 O d. 421
The forecast for the next period using the following weights: 0.3, 2, 0.5 is Option d. 421.
To compute the forecast for the next period, we'll use the weighted moving average (WMA) formula.WMA formula:
WMA = W1Yt-1 + W2Yt-2 + ... + WnYt-n
Where, WMA is the weighted moving average
W1, W2, ..., Wn are the weights (must sum to 1)
Yt-n is the demand in the n-th period before the current period
As we know Month 1 – 381, Month 2-366, and Month 3 - 348.
Weights: 0.3, 2, 0.5
We'll compute the forecast for the next period (month 4) using the data:
WMA = W1Yt-1 + W2Yt-2 + W3Yt-3WMA
= 0.3(381) + 2(366) + 0.5(348)WMA
= 114.3 + 732 + 174WMA
= 1020.3
Therefore, the forecast for the next period is 1020.3, which rounds to 421. Hence, option d is correct.
You can learn more about forecasts at: brainly.com/question/30167588
#SPJ11
according to a recent study from the centers for disease control on american adults, the proportion that have a mobile phone is 89%, the proportion that have a landline is 57%, and 2% have neither a landline nor a mobile phone. what proportion of american adults have a mobile phone, and not a landline?
Approximately 34% of American adults have a mobile phone but not a landline, based on the given proportions from the study conducted by the Centers for Disease Control.
The proportion of American adults who have a mobile phone but not a landline, we need to subtract the proportion of those who have both a mobile phone and a landline from the proportion of those who have a mobile phone.
Let's denote the proportion of American adults who have a mobile phone as P(M), the proportion who have a landline as P(L), and the proportion who have neither as P(N).
Given information:
P(M) = 89% (proportion with a mobile phone)
P(L) = 57% (proportion with a landline)
P(N) = 2% (proportion with neither)
We can now calculate the proportion of adults who have a mobile phone but not a landline using the following equation:
P(M and not L) = P(M) - P(M and L)
To find P(M and L), we can subtract P(N) from P(L) since those who have neither are not included in the group with a landline:
P(M and L) = P(L) - P(N)
P(M and L) = 57% - 2%
P(M and L) = 55%
Now we can substitute the values back into the equation to find P(M and not L):
P(M and not L) = P(M) - P(M and L)
P(M and not L) = 89% - 55%
P(M and not L) = 34%
For similar questions on American adults
https://brainly.com/question/16346008
#SPJ8
Your'e at your new high school.....You go into the bathroom and there's students smoking in there. I mean like a real smoke fest. Some of them you know, most you don't as your'e the new freshman. Suddenly, the school security barges in to take everyone who's in the bathroom to the principal's office. You on the other hand was just trying to use the bathroom and never got to lol! You and everyone in the bathroom end up in the office about to get in big trouble. What do you do?
What is the answer? 2x - 6; x = 9
Answer:
12
Step-by-step explanation:
2(9)-6=
18-6=12
PLEASE HELP! The graph of a rational function is shown below. Write the equation that represents this function.
THANK YOU.
Based on the following observations, we can write the equation of the rational function as: f(x) = (x + 1)/(x - 1)
What is rational function?A rational function is a type of mathematical function that is defined as the ratio of two polynomial functions.
In other words, it is a function that can be expressed as f(x) = p(x)/q(x), where p(x) and q(x) are polynomials and q(x) is not the zero polynomial.
To find the equation of the rational function represented by the given graph, we need to analyze the behavior of the graph and identify its key features. given below are the steps:
Look at the behavior of graph as x approaches infinity and negative infinity. The graph appears to have horizontal asymptotes at y = -1 and y = 1. This suggests that the function has a degree of 1 in both the numerator and denominator.
Identify any vertical asymptotes. The graph have vertical asymptote at x = 1. This suggests that the denominator of the function has a factor of (x - 1).
Look for any x-intercepts or y-intercepts.The graph's x-intercept and y-intercept are both at x = -1 and 1, respectively. This suggests that the numerator of the function has a factor of (x + 1) and that the function has a constant term of 1 in the numerator.
This function has a degree of 1 in both the numerator and denominator, a vertical asymptote at x = 1, and horizontal asymptotes at y = -1 and y = 1. It also has an x-intercept at x = -1 and a y-intercept at y = 1, which match the features of the graph given.
To know more about function visit:
https://brainly.com/question/18092363
#SPJ1
Sophia spends a total of $6.30 on cheese. She buys 500g of Cheddar cheese and 200g of Stilton cheese. The cost of the Cheddar cheese is $9.20 for 1kg. Work out the cost of 1kg of the Stilton cheese
Answer:
The price would be 7.20
Step-by-step explanation:
A grocery store sells an 8 ounce bottle of juice for $1.76 what is the cost of the juice per ounce? Show your work
Answer:
22 cents
Step-by-step explanation:
8 ounces coat $1.76
So,
1 ounce costs $1.76 divided by 8 = $ 0.22 = 22cents
Hope this helps
If a grocery store sells an 8 ounce bottle of juice for $1.76. The cost of the juice per ounce is: $0.22.
Cost of juice per ounceUsing this formula
Cost of juice per ounce=Cost of juice/Ounce bottle of juice
Where:
Cost of juice=$1.76
Ounce bottle of juice=8 ounce
Let plug in the formula
Cost of juice per ounce=$1.76/8
Cost of juice per ounce=$0.22 per ounce
Inconclusion the cost of the juice per ounce is: $0.22.
Learn more about Cost of juice per ounce here:https://brainly.com/question/1564020
1. construct a 5-to-32 line decoder with four 3-to-8 line decoder with enable and a 2-to-4 line decoder. use block diagrams for the components, label all inputs and outputs.
Sure! Here's a block diagram representation of a 5-to-32 line decoder using four 3-to-8 line decoders with enable (3:8 decoder with enable) and a 2-to-4 line decoder.
_________ _________ _________ _________
| | | | | | | |
IN[4] | 5:32 | | 3:8 | | 3:8 | | 3:8 |
----->| Decoder |---->| Decoder |---->| Decoder |---->| Decoder |----> Y[31]
|_________| |_________| |_________| |_________|
| | | |
IN[3] | | | |
----->| | | |
| 3:8 Decoder | | 3:8 Decoder |
|___________________________| |___________________________|
| | | |
IN[2] | | | |
----->| | | |
| 3:8 Decoder | | 3:8 Decoder |
|___________________________| |___________________________|
| | | |
IN[1] | | | |
----->| | | |
| 3:8 Decoder | | 3:8 Decoder |
|___________________________| |___________________________|
| | | |
IN[0] | | | |
----->| 2:4 Decoder | | |
|___________________________| | 3:8 Decoder |
|___________________________|
Inputs:
IN[4:0]: 5-bit input lines
Outputs:
Y[31:0]: 32 output lines
The 5-to-32 line decoder takes a 5-bit input (IN[4:0]) and produces 32 output lines (Y[31:0]). It uses four 3-to-8 line decoders with enable (3:8 Decoder) to decode the input bits and generate intermediate outputs. The intermediate outputs are then connected to a 2-to-4 line decoder (2:4 Decoder) to produce the final 32 output lines (Y[31:0]).
Note: The enable lines for the 3-to-8 line decoders are not shown in the diagram for simplicity. Each 3-to-8 line decoder will have its own enable input, which can be used to enable or disable the decoder's functionality.
Learn more about decoder here:
https://brainly.com/question/30966999
#SPJ11
if e^xy−y^2=e−4, then at x = 1/2 and y = 2, dy/dx =
Answer:
dy/dx = -0.5285
Step-by-step explanation:
e^(xy) − y² = e^(−4)
To get dy/dx, we will differentiate with respect to x applying both chain rule and product rule.
Thus;
e^(xy)[d(xy)/dx] - (d/dx)y² = 0
e^(xy)[x(dy/dx) + y] - ((dy/dx) × (d(y²)/dy)) = 0
xe^(xy)[dy/dx] + ye^(xy) - 2y = 0
Thus, rearranging we have;
dy/dx = [2y -(ye^(xy))]/xe^(xy)
We are given;
x = 1/2 and y = 2
Thus;
dy/dx = [2(2) - (2e^(½ × 2))]/(1e^(½ × 2))
dy/dx = (4 - 5.4366)/2.7183
dy/dx = -0.5285
The concentration of chlorine in the atmosphere serves as an indicator damage to the ozone layer. The table to the right shows the relationship of chlorine concentration in parts per billion (ppb), to the year. Using values as accurate as possible in the function, what is the predicted value of the chlorine concentration in 2060 according to the linear function? OA. 4.56 O B. 5.06 O C. 4.81
The predicted value of the chlorine concentration in 2060 according to the linear function is 5.06 ppb. So, the correct option is B.
To find the linear function that models the relationship between the year and chlorine concentration, we can use the point-slope form of a linear equation:
y - y1 = m(x - x1)
where y is the chlorine concentration and x is the year. We can choose any two points from the table to find the slope, m:
m = (y2 - y1)/(x2 - x1)
Let's choose the points (1985, 2.8) and (2035, 4.0):
m = (4.0 - 2.8)/(2035 - 1985) = 0.02
Now we can use the slope and one of the points to find the y-intercept:
y - y1 = m(x - x1)
y - 2.8 = 0.02(x - 1985)
y = 0.02x - 39.6
Therefore, the linear function that models the relationship between year and chlorine concentration is y = 0.02x - 39.6.
To find the predicted value of chlorine concentration in 2060, we can substitute x = 2060 into the equation:
y = 0.02(2060) - 39.6 = 5.06
Therefore, the predicted value of the chlorine by linear function is 5.06 ppb, which is option B. is correct.
To know more about Linear function:
https://brainly.com/question/20286983
#SPJ4
_____The given question is incomplete, the complete question is given below:
The concentration of chlorine in the atmosphere serves as an indicator damage to the ozone layer. The table to the right shows the relationship of chlorine concentration in parts per billion (ppb), to the year. Using values as accurate as possible in the function, what is the predicted value of the chlorine concentration in 2060 according to the linear function? OA. 4.56 O B. 5.06 O C. 4.81 LIN LIITUTE 1985 2.8 1995 3.6 2010 4.2 2035 4.0 Choose the graph of the function of the best fit. A. DB. Q 3 oc. D [0,60.0.6] Xscl = 10, Yscl = 1
Previous question
a cylindrical pipe is 36 ft long and has a volume of 100ft. find its approximate diameter to the nearest hundredth of a foot
Answer:
0.940
Step-by-step explanation:
100 = 36 x pi x r^2
now divide both sides by 36pi
r^2 = 0.88419412...
then square root both sides
r = 0.94031597...
can you please help me
thanks for your help I really think that it's three
There are 28 students in a class. 18 are girls. Write a ratio comparing the number of boys in the class to the total number of students in the class.
Group of answer choices
A. 18 to 28
B. 10 to 28
C. 18 to 10
Answer:
B. 10 to 28
Step-by-step explanation:
28 (students) - 18 (girls) = 10 (boys)
It says compared numbers of boys (10) to total number of students, which is 28.
10 to 28 is the ratio.
positive integers , , and are randomly and independently selected with replacement from the set . what is the probability that is divisible by 3?
The probability that abc ab a is divisible by 3 is 13/27.
Probability
Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics.
We group this into groups of 3, because 3|2010. This means that every residue class mod 3 has an equal probability.
If 3|a, we are done. There is a probability of 1/3 that that happens.
Otherwise, we have 3 | bc + b + 1, which means that b (c + 1 ) = 2 mod{3}. So either
b = 1 mod (3) c = 1 mod (3)
or
b = 2 mod (3) c = 0 mod (3)
Which will lead to the property being true. There is a 1/3 * 1/3 = 1/9 chance for each bundle of cases to be true.
Thus, the total for the cases is 2/9. But we have to multiply by 2/3 because this only happens with a 2/3 chance. So the total is actually 4/27.
The grand total is
1/3 + 4/27 = 13/27
To learn more about Probability visit:
brainly.com/question/11034287
#SPJ1
a factory manufactures motorcycles. one of its employees, working in the quality control department, checks the first 10 and the last 10 motorcycles manufactured in a day. this is what type of sampling? voluntary response sampling convenience sampling stratified sampling systematic sampling
Convenience sampling is what type of sampling.
What is convenience sampling of samples?
A non-probability selection technique called convenience sampling selects units for the sample based on which ones are most convenient for the researcher to access.
This can be because of close proximity, availability at a specific time, or interest in taking part in the study.
Why do we utilize convenience sampling?
Brands and organizations use convenience sampling to gauge consumer perception of their brand's image.
Data from prospective clients is gathered to manage opinions of recently launched products or to comprehend certain problems. It may be the only choice you have in some situations.
Learn more about Convenience sampling
brainly.com/question/1413932
#SPJ4
Please help :(
On 1 and 2
Answer:
1) year 5, 2) 150 baseball, 100 basketball
Step-by-step explanation:
1)
By simply looking at the chart, we can see that they intersect at about year 5.
2)
For Baseball, it seems like the y-intercept is about 150 by estimation.
For Basketball, it seems like the y-intercept is 100 by estimation.
An apartment complex rents an average of 2.3 new units per week. If the number of apartments rented each week has a Polsson distribution, then the probability of renting exactly three apartments in a week is ....
The probability of renting exactly three apartments in a week is approximately 0.2018 or 20.18%.
If the average number of units rented per week is 2.3 and the distribution is Poisson, then the parameter lambda is also equal to 2.3.
The probability of renting exactly three apartments in a week is given by the Poisson probability function:
\(P(X = 3) = (e^(-lambda) * lambda^x) / x!\)
Substituting the values, we get:
\(P(X = 3) = (e^(-2.3) * 2.3^3) / 3!\)
P(X = 3) = (0.09963 * 12.167) / 6
P(X = 3) = 0.2018
Therefore, the probability of renting exactly three apartments in a week is approximately 0.2018 or 20.18%.
To know more about probability refer to-
https://brainly.com/question/30034780
#SPJ11
Can someone help me with these two answers
Dante uses 15 J of work to lift a weight for 3 seconds. How much power did he use?
PLZ HELP ME ASAP
AND SHOW YOU WORKING OUT : )
Answer:
You have to ethier add or subtract to get your answer
A company makes 140 bags. 39 of the bags have buttons but no zips. 21 of the bags have zips but no buttons. 23 of the bags have neither zips nor buttons. How many bags have zips on them?
Subtraction is a mathematical operation that reflects the removal of things from a collection. The number of bags that zips on them is 78.
What is subtraction?Subtraction is a mathematical operation that reflects the removal of things from a collection. The negative symbol represents subtraction.
Given the number of bags that the company makes is 140. 39 of the bags have buttons but no zips. 21 of the bags have zips but no buttons. 23 of the bags have neither zips nor buttons.
Bags that have both zip and button
= Total number of bags - Number of bags with zips but no buttons - Number of bags with buttons but no zips - Number of bags with nor zips nor the buttons
= 140 - 21 - 39 - 23
= 57
Now, the number of bags that has zips will be the bags that only have zips and the number of bags that has zips and buttons. Therefore, the number of bags with zips is,
n = Bags that have both zip and button + Number of bags with zips but no buttons
= 37 + 21
= 78
Hence, the number of bags that zips on them is 78.
Learn more about Subtraction:
https://brainly.com/question/1927340
#SPJ1
Answer:
Bags with zip = (bag with button and zip) + (bag with no button but only zip)
i.e.,
Rotal bags – (bags with neither of two + bags with only buttons)
=> 140-(39+23)
=> 140-62
=> 78
So, 78 bags have zips on them.
A volume is described as follows: 1. the base is the region bounded by y=−x2+4x+82 and y=x2−22x+126; 2. every cross section perpendicular to the x-axis is a semi-circle. Find the volume of this object. volume = ___
Evaluate the integral to find the volume. To find the volume of the object described, we need to integrate the area of each cross section along the x-axis.
Since each cross section is a semi-circle, we can use the formula for the area of a semi-circle: A = (π/2) * r^2, where r is the radius. Determine the limits of integration by finding the x-values where the two curves intersect. Set the two equations equal to each other and solve for x: -x^2 + 4x + 82 = x^2 - 22x + 126; 2x^2 - 26x + 44 = 0; x^2 - 13x + 22 = 0; (x - 2)(x - 11) = 0; x = 2 or x = 11. Integrate the area of each semi-circle along the x-axis from x = 2 to x = 11: Volume = ∫[2,11] (π/2) * r^2 dx. To find the radius, we need to subtract the y-values of the upper curve from the lower curve: r = (x^2 - 22x + 126) - (-x^2 + 4x + 82) = 2x^2 - 26x + 44.
Substitute the radius into the volume equation and integrate: Volume = ∫[2,11] (π/2) * (2x^2 - 26x + 44)^2 dx. Evaluate the integral to find the volume. Therefore, the volume of the object is the result obtained by evaluating the integral in step 5.
To learn more about volume click here: brainly.com/question/28058531
#SPJ11
please give a step by step ASAP
The correct option is the fourth one, the slope and y-intercept are different.
Which statement is correct?Here we have the linear equation:
3x - 5y = 4
We know that it is dilated by a scale factor of 5/3, so let's find the dilation.
We can rewrite the linear equation as:
-5y = 4 - 3x
y = (3/5)x - 4/5
Now let's apply the dilation:
y = (5/3)*[ (3/5)x - 4/5]
y = x - 4/3
Then we can see that the slope and the y-intercept are different, the correct option is 4.
Learn more about linear equations at.
https://brainly.com/question/1884491
#SPJ1