Final answer:
The additive inverse of the polynomial [tex](0.6t^2 + 8 - 18t)[/tex]being subtracted is [tex]-0.6t^2 - 8 + 18t.[/tex] This involves changing the sign of each term in the polynomial.
Explanation:
The additive inverse of a polynomial is obtained by changing the sign of each term in the polynomial. Given the polynomial to be subtracted ( [tex]0.6t^2 + 8 - 18t)[/tex], its additive inverse is found by changing the sign of each term, resulting in [tex]-0.6t^2 - 8 + 18t.[/tex] This operation flips the signs, preparing the polynomial for the subtraction process without altering its magnitude but reversing its direction on the number line.
A merchant uses the rule: selling price equals cost + 10% of cost. This is a function. Why?
Answer:
y=x+0.10
Step-by-step explanation:
A circle is divided into 18 equal parts how many degrees is the angel measure for part?
Write a proportion to find how many points xx a student needs to score on a test worth 80 points to get a test score of 80%.
Answer:cross multiply to solve
100x = 50*78
x = 50*78/100
x = 39 points needed to score a 78%
Step-by-step explanation:hope this helps:D
What does it mean if a statistic is resistant? choose the correct answer below.
a. extreme values (very large or small) relative to the data do not affect its value substantially.
b. changing particular data values affects its value substantially.
c. an estimate of its value is extremely close to its actual value.
d. extreme values (very large or small) relative to the data affect its value substantially?
A statistic is said to be resistant if it isn't significantly affected by outliers or extreme values in the data. It remains relatively stable when extreme values are added or removed from the dataset.
Explanation:In statistics, when a statistic is described as resistant, it is typically referring to its ability not to be affected by outliers or extreme values (very large or small) in a dataset. In other words, a resistant statistic is relatively stable and does not change dramatically if an extreme value is added to, or removed from, the dataset. So, the correct answer is: a. extreme values (very large or small) relative to the data do not affect its value substantially.
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What is the domain of the relation graphed below? GET 50 POINTS!
Answer:
Domain is the set of x values
so domain is {-5 , -4 , -3 , 1 , 2 , 5}
there were 13,426 eligible voters for a certain election. On election day 8,206 people cast their vote. What was the percent of voter turn-out?
Final answer:
The percent of voter turnout in this election was 61.1%.
Explanation:
Voter turnout refers to the percentage of eligible voters who cast a ballot in an election.
To calculate the percent of voter turn-out, you need to divide the number of people who cast their vote by the total number of eligible voters, then multiply by 100 to get the percentage.
Number of people who cast their vote: 8,206
Total number of eligible voters: 13,426
To calculate the percent of voter turnout we use the following formula:
Divide the number of people who voted by the number of eligible voters.
Multiply the result by 100 to get a percentage.
= (8,206 / 13,426) × 100
= 0.611 × 100
= 61.1%
Therefore, the percent of voter turnout in this election was 61.1%.
Jaylyn rode her bicycle in a bike-a-thon she wrote 33.48 miles in 2.7 hours if she rode at the same speed what was her speed in miles per hours
Find two numbers their sum is −7 and their difference is 14
PLZ HELP FAST
A classic counting problem is to determine the number of different ways that the letters of "personnel""personnel" can be arranged. find that number.
The number of different ways in which the letter of “PERSONNEL” can be arranged is [tex]\boxed{\bf 90,720}[/tex].
Further explanation:
A permutation is an arrangement of objects in their order in which we find number of ways that can occur in a period of time.
If all the letters are different then the number of arrangement can be written as follows:
[tex]\boxed{\begin{aligned}P(n)&=n!\\&=n\cdot (n-1)\cdot (n-2)...2\cdot 1\end{aligned}}[/tex]
The number of different permutation can be calculated as follows:
[tex]\boxed{p(n)=\dfrac{n(n-1)(n-2)...2\cdot 1}{n_{1}!\cdot n_{2}!}}[/tex]
Here, [tex]n_{1}[/tex] and [tex]n_{2}[/tex] are the different kind of object such that [tex]n_{1}+n_{2}+n_{3}+\cdot \cdot+n_{k}=n[/tex].
Given:
The given word is “PERSONNEL”.
Calculation:
Step 1:
First consider that all the letters are different i.e, repetition of letter is allowed.
The given word “PERSONNEL” has [tex]9[/tex] letters.
Therefore, the number of ways for arranging nine letters can be calculated as follows:
[tex]\begin{aligned}P(9)&=9\cdot (9-1)\cdot (9-2)\cdot \cdot 2\cdot 1\\&=9\cdot 8\cdot 7\cdot 6\cdot 5\cdot 4\cdot3 \cdot 2\cdot 1\\&=362,880\end{aligned}[/tex]
Therefore, the different arrangements of the given word is [tex]362,880[/tex].
Step 2:
Since, the letter N and E is repeated two times in given word “PERSONNEL” then the half of the arrangement is repeated of these two letters.
Use the formula for finding the number of distinguishable permutation. It can be calculated as follows:
[tex]\begin{aligned}\text{Number of permutation}&=\dfrac{362880}{2!\cdot 2!}\\&=\drac{362880}{4}\\&=90,720\end{aligned}[/tex]
The number of different ways that the letter of “PERSONNEL” can be arranged is [tex]90,720[/tex].
Thus, the number of different ways that the letter of “PERSONNEL” can be arranged is [tex]\boxed{\bf 90,720}[/tex].
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Answer details:
Grade: High school
Subject: Mathematics
Chapter: Permutation
Keywords: Permutation, combination, personnel, counting, arrangement, different ways, order, letters, different ways, repetition, arranged objects, distinguishable permutation, counting problem.
The number of different ways to arrange the letters of 'personnel' is calculated using combinatorics and permutation formulas, resulting in 151,200 unique arrangements.
To find the number of different ways to arrange the letters of the word "personnel", we must use the principles of combinatorics and permutations.
The word 'personnel' consists of 9 letters with repetitions: there are three E's, two N's, one P, one S, one O, and one L. To count the number of unique arrangements, we start with the total factorial of all letters, which is 9!, but then we need to account for repeated letters by dividing by the factorials of the frequency of each repeating letter.
This results in the following permutation formula:
N! / (n1!)n2!...nk!
Where N is the total number of letters, and n1, n2, ..., nk are the number of times each unique letter is repeated.
So for 'personnel': 9! / (3!)(2!) = 151,200
There are therefore 151,200 unique ways to arrange the letters in 'personnel'.
What is the quotient
To ensure that you do not have a total consumption budget, which two categories should be added to your budget
Which of the following equations is of a parabola with a vertex at (0, 3)?
y = (x - 3) ^2
y = (x + 3) ^2
y = x ^2 - 3
y = x^ 2 + 3
The General Equation of Parabola having vertex at (0,0) and Focus(a,0) and (0,a) is
[tex]y^{2}= 4ax[/tex] or [tex]x^2 =4ay[/tex]
Now ,the Given equation of parabola having vertex at (0,3) is
x^2=y-3
It is 3 unit above y axis. So the parabola will open in the upward direction.
Out of all the options provided which are
1.y = (x - 3) ^2
2.y = (x + 3) ^2
3.y = x ^2 - 3
4.y = x^ 2 + 3
Option 4. y = x^ 2 + 3 is correct.
Answer:
y = x^ 2 + 3
Step-by-step explanation:
Here are four decimal numbers: 0.98, 0.3, 0.26, 0.627 order from smallest to largest.
Please help
1.
(05.08 MC)
Given the equation `1/(x-1)+2/x=x/(x-1)`
Part A: What values of x that would make the equation no solution? Why?
Part B: What is the solution of the equation. Show all of your steps.
(10 points)
2.
(05.09 MC)
Max and Maggie have to clean the house. It takes Max 10 hours to clean the house, while Maggie can complete the task in 6 hours. How long will it take for them to work together? Explain each step in solving this equation. (10 points)
The table gives the probability distribution of the number of books sold in a day at a bookstore. What is the probability of 16 or more books being sold on a given day?
number of books sold in a day
0-5
6-10
11-15
16-20
21-25
probability
0.110
0.206
0.464
0.201
?
The probability of 16 or more books being sold on a given day is 0.22 or 22%.
What is probability?Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.
The table gives the probability distribution of the number of books sold in a day at a bookstore.
The missing probability will be
We know that the sum of all the outcomes must be one.
0.110 + 0.206 + 0.464 + 0.201 + x = 1
On solving, we have
x = 0.019
The number of books sold in a day Probability
0-5 0.110
6-10 0.206
11-15 0.464
16-20 0.201
20-25 0.019
The probability of 16 or more books being sold on a given day will be
[tex]\rm P(x \geq 16) = 0.201 + 0.019 = 0.22[/tex]
The probability of 16 or more books being sold on a given day is 0.22 or 22%.
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The parent secant function is shifted 2 units down, and its period is changed to pi. Which of the following is the graph of the transformed function?
Thank you!
Make a box-and-whisker plot for the data. what is the median value? 56 32 48 52 51 53 48 38 35 42 40 46 54 50
Answer:
Median = 48.
Step-by-step explanation:
Given : 56 32 48 52 51 53 48 38 35 42 40 46 54 50.
To find : what is the median value.
Solution : We have given 56 32 48 52 51 53 48 38 35 42 40 46 54 50.
Step (1) : Arrange in ascending order
32 , 35 , 38 ,40 , 42 , 46 , 48, 48 ,, 50 ,51, 52 ,53 ,54 , 56.
Total numbers = 14 ,
Formula of median for even numbers : [tex](\frac{n+1}{2})^{th} ,(\frac{n}{2})^{th} \\Mean\ of\ (\frac{n+1}{2})^{th} ,(\frac{n}{2})^{th}\ term\ is\ the\ median[/tex].
Here , n = 14
Step (2): [tex](\frac{14}{2})^{th} ,(\frac{14}{2}+1)^{th}[/tex]
[tex](7^{th} ,(8)^{th}[/tex] terms are 48 , 48
Step (3) :Mean of [tex](7^{th} ,(8)^{th}[/tex] = [tex](\frac{48+48}{2})[/tex] .
Median = 48.
Therefore, Median = 48.
Which values are solutions to the inequality below?
Check all that apply.
√x ≤ 11
a) 121
b) 120
c) 111
d) -10
e) 122
f) no solutions
The values that are solutions to the inequality √x ≤ 11 are 121, 120, and 111.
Explanation:To find the values that are solutions to the inequality √x ≤ 11, we first need to square both sides of the inequality. This gives us x ≤ 121. So any value of x that is less than or equal to 121 will be a solution.
Now let's check each option:
a) 121: 121 is equal to 121, so it is a solution.b) 120: 120 is less than 121, so it is a solution.c) 111: 111 is less than 121, so it is a solution.d) -10: Negative numbers do not have real square roots, so -10 is not a solution.e) 122: 122 is greater than 121, so it is not a solution.f) no solutions: This option is not a valid solution.In summary, the values that are solutions to the inequality √x ≤ 11 are: 121, 120, and 111.
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Find the circumference of the circle. Use pi = 3.14. A. 3 m B. 18.84 m C. 6 m D. 28.26 m
The circumference of the circle.
A. r = 3 m, C = 18.84 m
B. r = 18.84 m, C = 118,315 m
C. r = 6 m, C = 37.68 m
D. r = 28.26 m, C = 177,473 m
Further explanationCircles are two-dimensional builds which are sets of equidistant points at a point called the center point
The distance of these points to the center is called the radius of the circle. While the circle field is an area which is bounded by a circle
There are terms - terms commonly used in circles:
1. The center point 2. Radius 3. Arc 4. Circumference 5. Segment 6. Chord 7. Annulus 8. Diameter 9. Disc 10. LensWhereas circumference formula
C = 2. π. r
π = 3.14
r = radius
In the question is known radius as follows:
A. r = 3 mthen
C = 2.3.14. 3
C = 18.84 m
B. r = 18.84 mC = 2.3.14. 18.84
C = 118,315 m
C. r = 6 mC = 2.3.14. 6
C = 37.68 m
D. r = 28.26 mC = 2.3.14. 28.26
C = 177,473 m
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If a 16 in. by 24 in. window has a wooden frame 3 inches wide surrounding it, what is the total area of the window and frame?
Answer:
The CORRECT answer is 660 sq inches
Step-by-step explanation:
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At a local department store, pants have been reduced to $26. this price is at 68.4% of the original price for pants. given this, what was the original price of the pants?
Just a quick math question.
When converting 18 quarts into gallons, I would have to divide by 4 to get the answer which is 4.5, but why am I dividing by 4? Where did 4 come from?
Anton must pay a co-pay of $30 for an office visit. His insurance company will then pay 85% of the cost of the visit. How much will Anton pay for an office visit that costs $270? (Points : 1) $36.00 $40.50 $56.00 $70.50
Given:
Anton must pay a co-pay of $30 for an office visit.
His insurance company will then pay 85% of the cost of the visit.
Office visit costs $270
Solution:
[tex] co-pay \; =\; \$30 [/tex]
[tex] Insurance \; Company \; pay = 85\% \; of\; 270 = \frac{85}{100} \cdot 270 = \frac{22950}{100}=\$ 22950\\ \\ Anton \; Pay\; remaining \; of\; what\; Insurance\; Company\; pay.\\ \\ So, \; Anton \; Pay = \$270 - \$229.50=\$40.5\\ \\ [/tex]
Conclusion:
Anton totally Pay = Remaining amount for office visit + Co-pay for office visit
[tex] Anton \; pay \; for\; an \; office \; visit \; that\; costs \; \$270\; = \; \$30 \; + \; \$40.5\; =\; \$70.5 [/tex]
In 1987 the average price of gasoline was $0.94. Today the price of gas is about $3.00. What is the percent increase from 1987 to today? (explain the problem please)
Answer:
-219.1% decrease
Step-by-step explanation:
.94-3.00=-2.06
-2.06/.94=-2.191
-2.191*100=-219.1 decrease
Find the equation of the line with the given properties: slope of 2, contains the point ( 4, -3).
Answer:
y = 2x - 11
Step-by-step explanation:
We are given that a line has a slope of 2 and passes through the point (4, -3).
As the question doesn't specify, we can write the equation of the line in any format.
There are 3 ways to write the equation of the line. They are:
Slope-intercept form, which is y=mx+b, where m is the slope and b is the value of y at the y intercept.Standard form, which is ax+by=c, where a, b, and c are free integer coefficients, however a and b cannot be 0 and a cannot be negative. Point-slope form, which is [tex]y-y_1=m(x-x_1)[/tex], where m is the slope and [tex](x_1,y_1)[/tex] is a point.Although while all of these choices are valid, let's write the equation in slope-intercept form, as that is the most common way to write the equation of the line.
As we are already given the slope of the line, we can immediately plug it into the equation as m.
Replace m with 2.
y = 2x + b
Now we need to find b.
As the line contains the point (4, -3), we can use its values to help solve for b.
Substitute 4 as x and -3 as y.
-3 = 2(4) + b
Multiply.
-3 = 8 + b
Subtract 8 from both sides.
-11 = b
Substitute -11 as b in the equation.
y = 2x - 11
Topic: finding the equation of the line
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-r+8(-5r-2) what is the equivalent expression
-41r+16
Answer:
Step-by-step explanation:
Raina's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Raina $4.40 per pound, and type B coffee costs $5.80 per pound. This month, Raina made 171 pounds of the blend, for a total cost of $856.00 . How many pounds of type A coffee did she use?
i just tried to solve this everyway i know possible when you get the answer lmk please.
On Monday, Amie rides her bike from home to school. After school, she bikes to work. After work, she bikes home. Based on the information in the diagram below, about how many miles does Amie bike on Monday?
The answer is D: 13.1 miles
Below is the graph of f ′(x), the derivative of f(x), and has x-intercepts at x = –3, x = 1 and x = 2. There are horizontal tangents at x = –1.5 and x = 1.5. Which of the following statements is true?
A) f has a relative minimum at x = 1.5
B) f has relative maximum at x = -1.5
C) f is decreasing on the interval from x = 1 to x = 2
D) none of these are true
https://seminole.flvs.net/webdav/assessment_images/educator_apcalcab_v14/08_01_04.gif
The only statement that is true as regards the graph of f ′(x) is;
C: f is decreasing on the interval from x = 1 to x = 2
We are told that the graph of f ′(x) has x-intercepts at x = –3, x = 1 and x = 2.Now, f'(x) is simply the derivative of f(x) and the derivative of f(x) is defined as the slope.
Since x-intercepts of the derivative are at x = –3, x = 1 and x = 2. It means that the values of x that will make the slope to be zero are x = –3, x = 1 and x = 2.Now, the minimum for the derivative graph usually happens when the the graph goes from negative to positive. This means that the graph is decreasing when the x-intercepts of the slope is positiveIn contrast the graph is increasing when the x-intercepts of the slope is negative.
Let us look at the options;
Option A; This is not correct because the derivative has to be zero at minimum point. Option B; This is not also correct because the derivative has to be zero at maximum point.Option C; This is correct because slope is positive when the graph is decreasing and from x = 1 to x = 2 is positive interval.Read more about graph of derivative of a function at; https://brainly.com/question/2284808