Answers
Answer:
Box 1= 24 Box 2= 28 Box 3= 99( Not sure about box 3, and sorry if it is wrong)
Step-by-step explanation:
Related Questions
Which is the best description for the graph?
A graph decreases through (0, 0) and then increases.
The graph is increasing everywhere.
The graph is decreasing everywhere.
The graph is increasing, then decreasing.
The graph is decreasing, then increasing
Answers
Answer
d
Step-by-step explanation:
I already know and i did the test
Marcus spent $57 on a shopping trip. He spent $22 on the birthday gift and $18 on a shirt. He spent the rest of his money on school supplies. Which equation can be used to find s, the amount of dollars he spent on school supplies?
Answers
To find the amount of dollars Marcus spent on school supplies, we can use the equation:
Money spent on school supplies = Total money spent - Money spent on birthday gift - Money spent on shirt
We know that Marcus spent $57 in total, $22 on the birthday gift and $18 on the shirt. So, we can substitute these values in the equation and solve for the amount he spent on school supplies:
s = $57 - $22 - $18
s = $17
Therefore, Marcus spent $17 on school supplies.
In summary, the equation that can be used to find the number of dollars Marcus spent on school supplies is:
s = Total money spent - Money spent on birthday gift - Money spent on a shirt
And the solution is $17.
Learn more about amount here:
https://brainly.com/question/29066172
#SPJ11
please help !! urgent ! :(
Answers
Answer:
a = 15
Step-by-step explanation:
The formula to solve for the above diagram is given as:
Sum of the interior angles in a circle = 360°
(10a - 4)° + (6a - 2)° + (8a + 6)° = 360°
10a - 4 + 6a - 2 + 8a + 6 = 360
24a -6 + 6 = 360°
24a = 360
a = 360/24
a = 15
reddit a bag of 15 scrabble tiles contains three each of the letters a, c, e, h, and n. if you pick six letters one at a time, what is the chance that you spell c-h-a-n-c-e? (in this order)
Answers
The chance of spelling C-H-A-N-C-E in that order is 0.0015 or 0.15%.
To calculate this, we need to multiply the probabilities of drawing each letter in the correct order.
For the first letter, C, there are 3 C tiles out of 15 total tiles, so the probability is 3/15 or 1/5.
For the second letter, H, there are 3 H tiles out of 14 remaining tiles, so the probability is 3/14.
For the third letter, A, there are 3 A tiles out of 13 remaining tiles, so the probability is 3/13.
For the fourth letter, N, there are 3 N tiles out of 12 remaining tiles, so the probability is 3/12 or 1/4.
For the fifth letter, C, there are 2 C tiles out of 11 remaining tiles, so the probability is 2/11.
For the sixth letter, E, there are 3 E tiles out of 10 remaining tiles, so the probability is 3/10.
Multiplying all of these probabilities together gives us the overall probability of spelling C-H-A-N-C-E in that order:
(1/5) * (3/14) * (3/13) * (1/4) * (2/11) * (3/10) = 0.0015 or 0.15%
Learn more about probability and word formation:https://brainly.com/question/19004109
#SPJ11
Calculate each Poisson probability: a. P(X = 7), λ = 6 (Round your answer to 4 decimal places.) b. P(X = 11), λ = 12 (Round your answer to 4 decimal places.) c. P(X = 6), λ = 8 (Round your answer to 4 decimal places.)
Answers
P(X = 7), λ = 6: The Poisson probability of X = 7, with a parameter (λ) value of 6, is 0.1446. P(X = 11), λ = 12: The Poisson probability of X = 11, with a parameter (λ) value of 12, is 0.0946. P(X = 6), λ = 8: The Poisson probability of X = 6, with a parameter (λ) value of 8, is 0.1206.
The Poisson probability is used to calculate the probability of a certain number of events occurring in a fixed interval of time or space, given the average rate of occurrence (parameter λ). The formula for Poisson probability is P(X = k) = (e^-λ * λ^k) / k!, where X is the random variable representing the number of events and k is the desired number of events.
To calculate the Poisson probabilities in this case, we substitute the given values of λ and k into the formula. For example, for the first case (a), we have λ = 6 and k = 7: P(X = 7) = (e^-6 * 6^7) / 7!
Using a calculator, we can evaluate this expression to find that the probability is approximately 0.1446. Similarly, for case (b) with λ = 12 and k = 11, and for case (c) with λ = 8 and k = 6, we can apply the same formula to find the respective Poisson probabilities.
Learn more about probability here:
https://brainly.com/question/31828911
#SPJ11
What is 0.29 km in mm? Report your answer with two significant figures
29000 mm
290000 mm.
2900000 mm
Answers
0.29 km is equal to 290,000 mm when rounded to two significant figures.
Convert kilometers to millimeters, you need to multiply the given value by a conversion factor. In this case, since there are 1,000 meters in a kilometer and 1,000 millimeters in a meter, the conversion factor is 1,000,000 (1,000 x 1,000).
Step 1: Multiply 0.29 km by the conversion factor:
0.29 km x 1,000,000 = 290,000,000 mm
Step 2: Round the result to two significant figures:
Since the original value, 0.29 km, has two significant figures, we round the result to match.
290,000,000 mm becomes 290,000 mm.
Learn more about multiply : brainly.com/question/620034
#SPJ11
3 + (2 + 8)2 + 4 X (4 | (2)
i need help
Answers
Answer: 1/2
Step-by-step explanation:
Answer:
55
Step-by-step explanation:
Find the inverse of the given matrix, if it exists. Use the algorithm for finding A-by row reducing [A I]. A= 10 3 - 2 1 - 3 - 4 2 - 3 Set up the matrix [A I] 10 3 100 [A I] - -2 1-3 0 10 - 4 2 -3 0 0 1 (Type an integer or simplified fraction for each matrix element.) Find the inverse. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The inverse matrix is a (Type an integer or simplified fraction for each matrix element.) B. The matrix A does not have an inverse.
Answers
After considering the given data we conclude that the the answer is (A) the inverse matrix is [1 0 0.1455 -0.0675; 0 1 -0.35 0.675; 0 0 0.455 1.385;].
To evaluate the inverse of the given matrix A, we can applying the algorithm for finding A-by row reducing [A I],
Here I = identity matrix of the same size as A. The steps are as follows:
Set up the matrix [A I] by appending the identity matrix of the same size as A to the right of A:
10 3 -2 1 1 0 0
-3 -4 2 -3 0 1 0
Place row operations to transform the left side of the matrix into the identity matrix. The same row operations must be used on the right side of the matrix to obtain the inverse of A.
Apply divison of the first row by 10 to get a leading 1: 1 0 -0.2 0.1 0.1 0 0
Apply addition 3 times the first row to the second row: 0 -4 1.4 -2.7 0 1 0
Apply addition 2 times the first row to the third row: 0 3 0.6 0.2 0 0 1
Apply addition 3 times the second row to the first row: 1 -12 0 6.7 0 3 -0
Apply division by the second row by -4 to get a leading 1: 0 1 -0.35 0.675 0 -0.25 0
Apply addition 1.4 times the second row to the third row: 0 0 0.455 1.385 0 -0.35 1
Apply subtraction 0.6 times the third row from the second row: 0 1 -0.35 0.675 0 -0.25 0
Apply subtraction 0.455 times the third row from the first row: 1 -12 0 6.7 0 3 -1.455
The left side of the matrix is now the identity matrix, and the right side of the matrix is the inverse of A:
1 0 0.1455 -0.0675
0 1 -0.35 0.675
0 0 0.455 1.385
Hence , the inverse matrix is:
A⁻¹ = [1 0 0.1455 -0.0675; 0 1 -0.35 0.675; 0 0 0.455 1.385;]
To learn more about inverse matrix
https://brainly.com/question/27924478
#SPJ4
PLEASE HELP ME IM BEING TIMED
Answers
The domain of the function is defined as 0 ≤ x ≤ 4.
option A is the correct answer.
What is the domain of a function?A domain of a function refers to "all the values" that can go into a function without resulting in undefined values.
So the domain of a function is the set of x values, while the range of a function is the set of y values.
From the given statement, the range of the function is defined as;
y = vt
where;
v is the speedt is the time of motiony = 60 mph x 4 hr
y = 240 miles
From the given statement, the domain of the function is defined as;
0 ≤ x ≤ 4
Learn more about domain of function here: https://brainly.com/question/28934802
#SPJ1
Suppose you are conducting a study to compare firefly populations exposed to normal daylight/darkness conditions with firefly populations exposed to continuous light (24 hours a day). You set up two firefly colonies in a laboratory environment. The two colonies are identical except that one colony is exposed to normal light/darkness conditions and the other is exposed to continuous light. Each colony is populated with the same number of mature fireflies. After 72 hours, you count the number of living fireflies in each colony. Questions: Is this an experiment or an observation study? Explain. Is there a control group and a treatment group? Identify each group.
Answers
The study outlined above is an experiment. In the study, two firefly colonies are set up in a laboratory environment and are subjected to different conditions. Therefore, it is an experimental design as the researcher is actively manipulating the independent variable which is the exposure of fireflies to light.
An observational study would involve recording data on a subject without manipulating their environment or situation. An observational study would have a less controlled environment in which the researcher does not interfere with the study subjects. There is a control group and a treatment group. The control group is the colony that is exposed to normal daylight/darkness conditions. The treatment group is the colony that is exposed to continuous light. The control group is used to provide a baseline measure or standard of comparison for the experiment.
It provides a way to compare the difference between the treatment group and the control group. Thus, the control group is the normal light/darkness colony, and the treatment group is the continuous light colony.
Know more about control group and a treatment group here:
https://brainly.com/question/29070427
#SPJ11
A local theater sold 187 tickets to a matinee play with a total revenue of $1,452.00 where they changed $11.00 for adult ticket and $6.00 for a child’s ticket. Using the variables a and c to represent the number of adult tickets sold and the number of children’s tickets sold respectively, determine a system of equations that describes the solution. 1) Enter the equations below separated by a comma.2) How many adult tickets were sold?3) How many children’s tickets were sold?
Answers
Given
A local theater sold 187 tickets to a matinee play with a total revenue of $1,452.00 where they changed $11.00 for adult ticket and $6.00 for a child’s ticket.
Use the variables a and c to represent the number of adult tickets sold and the number of children’s tickets sold respectively.
To determine a system of equations that describes the solution.
1) Enter the equations below separated by a comma.
2) How many adult tickets were sold?
3) How many children’s tickets were sold?
Explanation:
It is given that,
The total number of tickets sold is 187.
The total revenue is $1,452.00.
Since a and c represent the number of adult tickets sold and the number of children’s tickets sold respectively.
Then,
\(\begin{gathered} a+c=187\text{ \_\_\_\_\_\_\_\lparen1\rparen} \\ 11a+6c=1452\text{ \_\_\_\_\_\_\lparen2\rparen} \end{gathered}\)Solving (1) and (2) implies,
\(\begin{gathered} a=187-c \\ \Rightarrow11(187-c)+6c=1452 \\ \Rightarrow2057-11c+6c=1452 \\ \Rightarrow-5c=1452-2057 \\ \Rightarrow-5c=-605 \\ \Rightarrow c=\frac{605}{5} \\ \Rightarrow c=121 \end{gathered}\)That implies,
\(\begin{gathered} a=187-c \\ a=187-121 \\ a=66 \end{gathered}\)Therefore,
1) The equations are,
\(a+c=187,11a+6c=1452\)2) The number of adults ticket sold is 66.
3) The number of Children's ticket sold is 121.
3901 of the original wordle's 10657 allowed guess words have at least one letter repeat, or 36.6%. we can also see that 749 of its 2315 solution words have at least one letter repeat, or 32.3%. how many of the possible 5-tuples of 26 letters (q3.1) have at least one letter repeat? remember: gradescope can evaluate expressions with , -, *, /, ^, ( ), but not factorial.
Answers
The original wordle has 10657 allowed guess words. Of which 3901 words have at least one letter repeat. In other words, the probability of the word having at least one letter repeat is 36.6% 749 solution words have at least one letter repeat out of a total of 2315 solution words. the number of possible 5-tuples of 26 letters that have at least one letter repeat is "3987776."
In other words, the probability of a solution word having at least one letter repeat is 32.3%To find the number of possible 5-tuples of 26 letters with at least one letter repeat
Step 1: We will find out the number of 5-tuples that do not have any repeated lettersFor the first letter, we have 26 options. As there can be no repetitions, we have 25 options for the second letter. Similarly, for the third, fourth, and fifth letter we have 24, 23, and 22 options respectively.Therefore, the number of 5-tuples that do not have any repeated letters is given by26 × 25 × 24 × 23 × 22 = 7893600
Step 2: We will find out the number of 5-tuples that have at least one repeated letterTotal number of 5-tuples = 26^5Using the formula for finding the number of 5-tuples without any repetition, we can find the number of 5-tuples that have no repetition:26 × 25 × 24 × 23 × 22 = 7893600 Therefore, the number of 5-tuples that have at least one repeated letter is given by the total number of 5-tuples – the number of 5-tuples that have no repetitions= 26^5 - 7893600= 11881376 - 7893600= 3987776Therefore, the number of possible 5-tuples of 26 letters that have at least one letter repeat is 3987776.
For more such questions on probability
https://brainly.com/question/24756209
#SPJ11
Solve for x in the equation x squared minus 14 x 31 = 63.
Answers
Answer:
x=22.293
Step-by-step explanation:
x^2=497
x=22.293
YAYYYYYYYYYYYYYYYYYYY
how do you Multiply fractions? could you explain with a few examples?
Answers
The first step when multiplying fractions is to multiply the two numerators. The second step is to multiply the two denominators. Finally, simplify the new fractions. For example
\(\begin{gathered} \frac{2}{3}\cdot\frac{5}{6}=\frac{2\cdot5}{3\cdot6}=\frac{10}{18} \\ \text{ Now simplify} \\ \frac{10}{18}=\frac{2\cdot5}{2\cdot9}=\frac{5}{9} \\ \text{Then} \\ \frac{2}{3}\cdot\frac{5}{6}=\frac{5}{9} \end{gathered}\)In other words, multiply linearly and simplify
If you have to multiply mixed fractions, first you transform the fraction from mixed to improper and then multiply, for example
\(\begin{gathered} 3\frac{1}{4}\cdot-\frac{8}{5}=\frac{3\cdot4+1}{4}\cdot-\frac{8}{5}=\frac{12+1}{4}\cdot-\frac{8}{5}=\frac{13}{4}\cdot-\frac{8}{5} \\ \text{ Apply the law of signs of the multiplication} \\ 3\frac{1}{4}\cdot-\frac{8}{5}=\frac{13}{4}\cdot-\frac{8}{5}=\frac{13\cdot-8}{4\cdot5}=\frac{-104}{20} \\ \text{Simplify} \\ \frac{-104}{20}=\frac{2\cdot-26}{2\cdot10}=\frac{-26}{10} \\ \text{Then} \\ 3\frac{1}{4}\cdot-\frac{8}{5}=\frac{-26}{10} \end{gathered}\)The law of signs for multiplication is
\(\begin{gathered} +\cdot+=+ \\ +\cdot-=- \\ -\cdot+=- \\ -\cdot-=+ \end{gathered}\)
Multiplying fractions starts with the multiplication of the given numerators, followed by the multiplication of the denominators. ...
Example: Multiply the following fractions: 1/3 × 3/5.
Solution: We start by multiplying the numerators: 1 × 3 = 3, then, multiply the denominators: 3 × 5 = 15.
ratio equivalent 2 numbers
10:12
Answers
you just have to multiply (or divide) both the numbers by the same number and you have an equivalent ratio :)
What is 63,612 in expanded form?
Answers
Answer:
answer is 60,000+3,000+600+10+2
A portion of the population that is drawn in such a way that every member of the population has an equal chance of being selected for the survey is known as a _____.
Answers
Find the value of x.
Answers
Johnny left his house early in the morning for a run. he ran 2 miles north, 6 miles west, 3 miles north, 10 miles south, 8 miles east, and then 2 miles west. what distance did he run?
Answers
The total distance ran by Johnny after he left the house is D = 31 miles
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as D
Now , the value of D is
Substituting the values in the equation , we get
Let the total distance ran by Johnny be D = ran 2 miles north, 6 miles west, 3 miles north, 10 miles south, 8 miles east, and then 2 miles
So , D = 2 + 6 + 3 + 10 + 8 + 2
On simplifying the equation , we get
D = 31 miles
Hence , the distance is D = 31 miles
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ2
against the lady huskies, the lady bears scored 74 points on 33 field goals (2- and 3-point goals). how many 2-point goals and how many 3-point goals did they make?
Answers
They make 25 (2-point) goals and 8 (3-point) goals respectively.
Let us solve this problem with the equation.
We know from the problem that the total number of field goals is 33.
Consider a 2-point goal as X and the 3-point goal as Y.
So our first equation will be =
X+Y=33
And the total number of points is 74. So our second equation will be =
2X+3Y= 74
On solving both equations we will get
X=25 and Y=8 which is the value of a 2-point goal and a 3-point goal respectively.
So, they will make 25 field goals as 2-point goals and 8 field goals as a 3-point goals.
To know more about how to solve equation, visit: https://brainly.com/question/18322830
#SPJ4
Chapter 2
1. This chapter takes place in the present. How does the narrator's past affect his life in the present?
Answers
The narrator's past may be affecting his life in the present in a number of ways. For example, the narrator may be dealing with trauma from his past, which could be causing him emotional distress or making it difficult for him to form relationships.
How to o explain the informationThe narrator's past may also be shaping his worldview, influencing his beliefs and values. Additionally, the narrator's past may have given him certain skills or knowledge that he is using in the present.
The narrator may be dealing with trauma from his past, such as abuse, neglect, or violence. This trauma could be causing him emotional distress, making it difficult for him to form relationships, or affecting his physical health.
The narrator's past may have shaped his worldview, influencing his beliefs and values.
Learn more about narrator on
https://brainly.com/question/860877
#SPJ1
Three water pipes are used to fill up a swimming pool. The first pipe alone takes 8 hours to fill the pool, the second pipe alone takes 12 hours to fill the pool, and the third pipe alone takes 24 hours to fill the pool. If all three pipes are opened at the same time, how long will it take to fill the pool?
Answers
In an hour, the first pipe can fill up 1/8 of the pool
In an hour, the second pipe can fill up 1/12 of the pool
In an hour, the third pipe can fill up 1/24 of the pool.
So, in an hour, the 3 pipes can fill up 1/8 +1/12 + 1/24 = 6/48 + 4/48 + 2/48 = 11/48 of the pool.
It will take the 3 pipes 1 : 11/48 = 48/11 hours to fill the pool.
need help pleeassseeee !!
Answers
Answer: 5
Step-by-step explanation: f(3) = 2x - 1
substitute the x with 3. 2(3)-1
6-1
5
Answer:
The answer is 5, hope you like!
1. meredith has 10 reports to file. if each report takes an average of 75 minutes to file, how long will it take her to file 70% of them? a. 5 hours b. 6 hours, 30 minutes c. 8 hours, 45 minutes d. 10 hours
Answers
Meredith will take 8 hours 45 minutes to file 70% of the 10 reports given.
The time taken by Meredith to file 70% of the 10 reports given, given that each report takes an average of 75 minutes is 6 hours, 30 minutes. Therefore, the correct option is B. 6 hours, 30 minutes. How long will it take Meredith to file 70% of 10 reports, given that each report takes an average of 75 minutes to file?
Here, the total number of reports = 10
Average time to file one report = 75 minutes
To find out the time taken to file 70% of 10 reports, we will need to multiply the average time taken to file one report by the number of reports to be filed, which is 7 in this case:
75 × 7 = 525 minutes
We have calculated the time it will take Meredith to file 7 reports. Now, to convert this time to hours and minutes, we divide the total minutes by 60 to get the hours and then find out the remainder for the minutes:
525 ÷ 60 = 8 hours 45 minutes
Therefore, Meredith will take 8 hours 45 minutes to file 70% of the 10 reports given.
To learn more about time refer :
https://brainly.com/question/29818093
#SPJ11
For the most recent seven years, the U.S. Department of Education reported the following number of bachelor's degrees awarded in computer science: 4,820; 13,188; 4,614; 5,920; 12,372; 5,885; 5,877. What is the annual arithmetic mean number of degrees awarded
Answers
Thus, the annual arithmetic mean number of degrees awarded in computer science over the most recent seven years is approximately 7,525.14.
To find the annual arithmetic mean number of degrees awarded in computer science over the most recent seven years, we need to add up the total number of degrees awarded over those years and then divide that total by seven (the number of years being considered).
So, adding up the numbers given in the question, we get:
4,820 + 13,188 + 4,614 + 5,920 + 12,372 + 5,885 + 5,877 = 52,676
Now, to find the mean, we divide this total by seven:
52,676 ÷ 7 = 7,525.14
So, the annual arithmetic mean number of degrees awarded in computer science over the most recent seven years is approximately 7,525.14.
If we wanted to understand more about how the number of degrees awarded in computer science has changed over time, we would need to look at additional data and analyze it in more detail.
Know more about the arithmetic mean
https://brainly.com/question/26088030
#SPJ11
Tristan wants to build a square garden in his backyard that will cover an area of 75 ft.² a person has 32 feet of material for the parent perimeter of the garden does he have enough explaine
Answers
Answer:
your try this is not the named above the new one in my case I can you tell the truth be the first and foremost is not in any form is
Step-by-step explanation:
ydu is not working in the past two days in my head of my head to be in town on your phone is to
Material of 32 feet with the person is not sufficient to cover the square garden.
Tristan wants to build a square garden having area = 75 square feet
Since, Area of a square is given by the expression,
Area = (Side)²
By substituting the value of area in the expression,
75 = (Side)²
√75 = √(Side)²
5√3 = Side
Side = 8.66 feet
Since, perimeter of a square is given by the expression,
Perimeter of a square = 4(side)
Therefore, Perimeter of the square garden = 4(8.66)
= 34.64 feet
A person has a material of length = 32 feet
If the length of the material is enough to cover the square field,
Length of the material ≥ Perimeter of the garden
32 feet ≥ 34.64 feet
Which is false.
Therefore, material is not of enough length to cover the square garden.
Learn more,
https://brainly.com/question/10824107
Based on the problem statement, state the height, radius, and Pi to substitute into the volume formula to calculate the volume of the cone. What is the approximate volume of a cone with a height of 10 inches and a radius of 3 inches?
Radius r=
in
Height h=
in
Pi=
Need this by 5:00 PM (CST) THANK YOU ALL!
Answers
From the given information provided, the approximate volume of the cone is 94.24777 cubic inches.
The volume of a cone can be calculated using the formula V = (1/3) × π × r² × h, where "r" is the radius of the base of the cone, "h" is the height of the cone, and "π" is the mathematical constant approximately equal to 3.14159.
Radius r= 3 inches
Height h= 10 inches
π = 3.14159
Using the formula for the volume of a cone, V = (1/3) × π × r² × h, we can substitute the given values to calculate the volume of the cone:
V = (1/3) × 3.14159 × 3² × 10
V ≈ 94.24777 cubic inches
Learn more about volume here: brainly.com/question/463363
#SPJ4
Can somebody help me pleaseeee
Answers
Answer:
the answer is B OA
Step-by-step explanation
I know this because to identify a ray the starting point aka o is at the beginning of the answer
select the correct answer. a rubber gasket has a circumference of 3.2 cm. when placed in service, it expands by a scale factor of 2. what is the circumference of the gasket when in service?
Answers
The circumference of the gasket when in service is 6.4 cm, which is twice the original circumference of 3.2 cm, consistent with the scale factor of 2.
When we say that the rubber gasket expands by a scale factor of 2, we mean that all of its linear dimensions, such as its length, width, and circumference, double in size.
Let's focus on the circumference, which is the distance around the outside of a circle. The circumference of a circle is calculated using the formula:
Circumference = 2 x π x radius
In this case, we don't know the radius of the gasket, but we do know its circumference, which is given as 3.2 cm. We can rearrange the formula to solve for the radius:
radius = Circumference / (2 x π)
Plugging in the given circumference, we get:
radius = 3.2 cm / (2 x π) ≈ 0.509 cm
Now that we know the radius, we can calculate the circumference of the gasket when in service. Since the scale factor is 2, we know that the new radius will be:
new radius = old radius x scale factor = 0.509 cm x 2 = 1.018 cm
Using the same formula as before, but with the new radius, we get:
Circumference in service = 2 x π x new radius
Circumference in service = 2 x π x 1.018 cm ≈ 6.4 cm
Therefore, the circumference of the gasket when in service is 6.4 cm, which is twice the original circumference of 3.2 cm, consistent with the scale factor of 2.
To learn more about consistent visit: https://brainly.com/question/3935025
#SPJ11
compute the zeros of the polynomial 4x2 - 4x - 8
Answers
Answer:
(2, 0) and (-1, 0)
Step-by-step explanation:
\(4x^2 - 4x - 8 = 0 \text{ // Divide by 4} \\x^2 - x - 2 = 0\\\\x_{1, 2} = \frac{-(-1) \pm \sqrt{(-1)^2 - 4 \times 1 \times (-2)}}{2\times1}\\\\x_{1, 2} = \frac{1 \pm \sqrt{1 + 8}}2\\\\x_{1, 2} = \frac{1 \pm \sqrt9}2\\\\x_{1, 2} = \frac{1 \pm 3}2\\\\x_1 = \frac{1 + 3}2 = \frac42 = 2\\\\x_2 = \frac{1 - 3}2 = \frac{-2}2 = -1\)
Therefore, the zeroes are (2, 0) and (-1, 0).