Answer:
15...
Step-by-step explanation:
Is this the full question?
I guess the question is somewhat incomplete. Please check and post again.
Please help, I would really appreciate it.
wine the equation in siope-intercept form of a line that has a siope of and passes through the point (-6, 0).
Plz help ASAP! I only have one more try to get it right!!!
Answer:
D.
Step-by-step explanation:
im SOOOOOO SORRY IF THIS IS WRONG
what is the probability of these events when we randomly select a permutation of the 26 lowercase letters of the english alphabet? a) the permutation consists of the letters in reverse alphabetic order. b) z is the first letter of the permutation. c) z precedes a in the permutation. d) a immediately precedes z in the permutation. e) a immediately precedes m, which immediately precedes z in the permutation. f ) m, n, and o are in their original places in the permutation.
The Probability of reverse alphabetical order is 1.04x10^-26, Probability of z being the first letter is 0.0385, Probability of z preceding a is 0.5, Probability of a preceding z is 0.0385, Probability of a, m, z in order is 0.00274, Probability of m, n, o in original positions is 0.00274.
The probability that the permutation consists of the letters in reverse alphabetic order is 1/(26!), which is approximately 1.04 x 10^-26. This is because there is only one permutation out of the 26! possible permutations that satisfies this condition.
The probability that z is the first letter of the permutation is 1/26, which is approximately 0.0385. This is because there is only one way to select z to be the first letter out of the 26 possible choices.
The probability that z precedes a in the permutation is 1/2, which is 0.5. This is because in any permutation of the 26 letters, z and a are equally likely to appear before or after each other.
The probability that a immediately precedes z in the permutation is (24!)/(26!), which is approximately 0.0385. This is because once the positions of a and z are fixed in the permutation, there are 24! ways to arrange the remaining 24 letters, out of the 26! possible permutations.
The probability that a immediately precedes m, which immediately precedes z in the permutation is (23!)/(26!), which is approximately 0.00274. This is because once the positions of a, m, and z are fixed in the permutation, there are 23! ways to arrange the remaining 23 letters, out of the 26! possible permutations.
The probability that m, n, and o are in their original places in the permutation is (23!)/(26!), which is approximately 0.00274. This is because once the positions of m, n, and o are fixed in the permutation, there are 23! ways to arrange the remaining 23 letters, out of the 26! possible permutations.
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Factor completely 4x^3+ 28x^2 +48x
Answer:
4x(x+3)(x+4)
Step-by-step explanation:
the mayor of a small city is trying to determine the number of judges needed to handle the judicial caseload. during each month of the year it is estimated that the number of judicial hours needed is provided in the table below. a). each judge works all 12 months and can handle as many as 120 hours per month caseload. to avoid creating a backlog all cases must be handled by the end of december. formulate an lp whose solution will determine how many judges the city needs to handle the caseload for the year.
Total hours handled by x judges in the year ≤ 12120x where x is the number of judges needed to handle the caseload for the year.
To formulate an LP for this problem, we can define the decision variables and the objective function and constraints.
Decision Variables:
Let x be the number of judges needed by the city to handle the caseload for the year.
Objective Function:
We want to minimize the number of judges needed, so our objective function is:
minimize x
Constraints:
Each judge can handle up to 120 hours of caseload per month, so the total number of hours that can be handled by x judges in a month is 120x. The total number of hours needed to handle the caseload for the year is given in the table. Therefore, we have the following constraints:
For January: 120x ≥ 100
For February: 120x ≥ 120
For March: 120x ≥ 90
For April: 120x ≥ 80
For May: 120x ≥ 110
For June: 120x ≥ 130
For July: 120x ≥ 140
For August: 120x ≥ 110
For September: 120x ≥ 100
For October: 120x ≥ 90
For November: 120x ≥ 80
For December: 120x ≥ 120
These constraints ensure that the total number of hours handled by the judges in each month is at least as much as the number of hours needed to handle the caseload in that month.
We also need to ensure that all cases are handled by the end of December. This can be expressed as follows:
Total hours handled by x judges in the year ≤ 12120x
This constraint ensures that the total number of hours handled by the judges in the year is less than or equal to the maximum possible number of hours that can be handled by x judges in a year.
Therefore, the LP can be formulated as follows:
minimize x
subject to:
120x ≥ 100
120x ≥ 120
120x ≥ 90
120x ≥ 80
120x ≥ 110
120x ≥ 130
120x ≥ 140
120x ≥ 110
120x ≥ 100
120x ≥ 90
120x ≥ 80
120x ≥ 120
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a bag contains 16 coins each with a different date. the number of possible combinations of three coins from the bag is
The number of possible combinations of three coins from the bag of 16 coins with different dates can be calculated using the formula for combinations, which is nCr = n! / r!(n-r)!, where n is the total number of objects, r is the number of objects to be chosen, and ! denotes factorial (the product of all positive integers up to the given number).
In this case, we have n = 16 (the total number of coins in the bag) and r = 3 (the number of coins to be chosen for each combination). Using the formula for combinations, we can calculate the number of possible combinations as follows:
nCr = 16! / 3!(16-3)!
nCr = (16 x 15 x 14) / (3 x 2 x 1)
nCr = 560
Therefore, 560 possible combinations of three coins can be chosen from the bag of 16 coins with different dates. These combinations could represent different historical events, significant dates, or other symbolic meanings depending on the dates inscribed on the coins. The calculation of combinations is an important concept in combinatorics and probability theory, and it has many real-world applications in fields such as statistics, economics, and computer science.
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3x + 9 - 2x + 1 + 5x + 11
Translate this sentence into an equation.
55 is the product of 5 and Mabel's height.
Use the variable m to represent Mabel's height.
Answer:
5 x m = 55
Step-by-step explanation:
This is because 55 is the product and this means multiplication and 5 x something is 55
Please help I if you can thank you do much
Answer:
A. (Pay as you go) $120 B. (Regular deal) $90 C. (All-in-one price!) $100 D. The "Regular deal" option would be the least expensive for Carl.
Step-by-step explanation:
If Carl does the "Pay as you go" option he would be charged $6 each time. If he works out 20 times a month, we can multiply 20 by 6 to get a total of $120 for that option.
If Carl does the "Regular deal" option he would be charged $50 + an additional $2 for each time he works out. From there, we can get the equation 2x + 50 where x is the amount of time he works out. If we plug in 20 for x (as he works out 20 times a month), we get 2(20) + 50 which equals a total of $90 for that option.
If Carl does the "All-in-one Price!" option he would be charged $100 for the whole month meaning he has unlimited use of the gym with no extra charge besides the $100.
The cheapest option is the "Regular deal" option as it charges $90 compared to the $100 for the "All-in-one Price!" option & the $120 for the "Pay as you go" option.
Mikhael has a coupon that takes 40% off an $80 purchase. How much does he save?
Answer:
$48
Step-by-step explanation:
To find 40% of a number (in this case, 80), you should divide 40 by 100 then multiply it by 80. Then you will get 32. Then you subtract 32 from 80 to get 48.
A sphere is shown below. = The radius of the sphere is 5/3 inches. What is the approximate volume of the sphere in cubic inches?
58.18 in³
1) Since the volume of a Sphere can be found by
\(\begin{gathered} V=\frac{4}{3}\cdot\pi.r^3 \\ V=\frac{4}{3}\cdot\pi.\text{ (}\frac{5}{3})^3 \\ V=\frac{4}{3}\cdot\pi\cdot\frac{125}{9} \\ V=\frac{500}{27}\pi\text{ }\approx58.18 \end{gathered}\)2) SO the volume of that Sphere is approximately 58.18 in³
Charlotte has $37. She wants to buy a ski pass for $125. She can earn $8 per hour at her summer job.
- Enter an inequality that represents the number of hours (h) Charlotte could work to earn at least enough money to buy the ski pass.
Answer:
8h + 37 = 125
Step-by-step explanation:
if she already has 37, you can take 37 from 125. you should have 88 left.
if you do the math, 8 x 11 is 88. so she needs to work 11 hours to be able to pay for the ski pass.
Please help asap!!!!!!!!
The y-coordinate for the solution to the system of equations is -3.
What is a system of equations?
A finite set of equations for which common solutions are sought is referred to in mathematics as a set of simultaneous equations, often known as a system of equations. The intersection of two lines represents the system of equations' solution.
Given system of equations are,
6x + 11y = -3
4x + y = 17
To solve these equations, we must first remove x or y terms.
To do this we must make the removing term's coefficients the same.
In this case, let's remove y.
We are multiplying the second equation by 11. Then,
6x + 11y = -3
44x + 11y = 187
Now we will subtract the second equation from the first.
- 38x = -190
x = 5
Now to find y, substitute x in any one of the equations.
6 * 5 + 11y = -3
11y = -33
y = -3
Hence the y-coordinate for the solution to the system of equations is -3.
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What is the image of
(
−
1
,
9
)
(−1,9) after a dilation by a scale factor of
2
2 centered at the origin?
Given: ∆MNP, PM = 8 m∠P = 90°, m∠N = 58° Find: Perimeter of ∆MNP
(Not 22.4 or 22.43)
Please answer ASAP, brainly awarded.
Answer:
Step-by-step explanation:
Triangle MNP is a right triangle with the following values:
m∠P = 90°m∠N = 58°PM = 8Interior angles of a triangle sum to 180°. Therefore:
m∠M + m∠N + m∠P = 180°
m∠M + 58° + 90° = 180°
m∠M + 148° = 180°
m∠M = 32°
To find the measures of sides MN and NP, use the Law of Sines:
\(\boxed{\begin{minipage}{7.6 cm}\underline{Law of Sines} \\\\$\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}$\\\\\\where:\\ \phantom{ww}$\bullet$ $A, B$ and $C$ are the angles. \\ \phantom{ww}$\bullet$ $a, b$ and $c$ are the sides opposite the angles.\\\end{minipage}}\)
Substitute the values into the formula:
\(\dfrac{MN}{\sin P}=\dfrac{NP}{\sin M}=\dfrac{PM}{\sin N}\)
\(\dfrac{MN}{\sin 90^{\circ}}=\dfrac{NP}{\sin 32^{\circ}}=\dfrac{8}{\sin 58^{\circ}}\)
Therefore:
\(MN=\dfrac{8\sin 90^{\circ}}{\sin 58^{\circ}}=9.43342722...\)
\(NP=\dfrac{8\sin 32^{\circ}}{\sin 58^{\circ}}=4.99895481...\)
To find the perimeter of triangle MNP, sum the lengths of the sides.
\(\begin{aligned}\textsf{Perimeter}&=MN+NP+PM\\&=9.43342722...+4.99895481...+8\\&=22.4323820...\\&=22.43\; \sf units\; (2\;d.p.)\end{aligned}\)
What information would you need to use the Side-Angle-Side Similarity Theorem to prove that the triangles are similar
With these three pieces of information, you can apply the SAS Similarity Theorem to conclude that the triangles are similar.
To use the Side-Angle-Side (SAS) Similarity Theorem to prove that two triangles are similar, you would need the following information:
1. Side-Side Ratio: You need to know that the ratio of the lengths of corresponding sides of the triangles is equal.
2. Angle: You need to know that the included angle between the corresponding sides of the triangles is equal.
3. Side: You need to know that one pair of corresponding sides of the triangles is proportional.
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an auditorium has 20 rows of seats. there are 20 seats in the first row, 21 seats in the second row, 22 seats in the third row, and so on. how many seats are in the 17th row?
If an auditorium has 20 rows of seats. there are 20 seats in the first row, 21 seats in the second row, 22 seats in the third row, and so on. then, there are 39 seats present in the 17th row.
The given data is as follows:
Number of rows of seats = 20
Number of seats in the first row = 20
Number of seats in the second row = 21
Number of seats in the third row = 22 and so on.
Let's calculate the common difference between the seats,
common difference = 21-20 = 1 or 22-21 = 1
Therefore common difference = 1
Then the number of the seats in 17th row will be
The number of the seats = 20 + (20 - 1)* 1
The number of the seats= 39 seats.
Therefore, there are a total of 39 seats present in the 17th row.
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"Match the justifaction with each step"
I also want to know the answer...........................................
In the diagram below what is the measure in angel x
Answer:
143°
When solving angle problems, make sure to label the other angles (even the ones that are not asked) and use them to relate to each other to find the answer.
A square section of a kitchen floor is made of
64 square tiles. How many tiles are on each
side of the square section of the kitchen floor?
The doubling time of a population of flies is 5 hours. By what factor does the population increase in 29 hours? By what factor does the population increase in 3 weeks?
Answer:
If it doubles every 8 hours then
population = initial population * 2 ^ (hours / 8)
********************************************---------
after 26 hours
population increases by a factor of
2 ^ (26 / 8) = 9.51365692
************************************************--------
after 1 week, or 168 hours
population increases by a factor of
2 ^ (168 / 8) = 2 ^ 21 = 2,097,152
f(x) = x? What is g(x)?
g(x);
5-
(1,3)
(x
A. g(x) = (3x)2
B. g(x) = 9x2
C. g(x) = 3x2
D. g(x)= x2
Answer:
C. g(x) = 3\(x^{2}\)
Step-by-step explanation:
f(1) = 1 and g(1) = 3
g(1) is 3 times more than f(1)
So, g(x) = 3\(x^{2}\)
1) if ∠1 and ∠2 are vertical angles and m∠1 = 108° , find m∠2.
2) If ∠A and ∠B are complementary angles and m∠B = 68°, find m∠A.
If ∠1 and ∠2 are vertical angles, that means they are opposite angles formed by two intersecting lines. Since they are opposite, their measures must be equal. If m∠1 = 108°, then m∠2 = 108°.
If ∠A and ∠B are complementary angles, that means their measures add up to 90°. If m∠B = 68°, then m∠A = 90° - 68° = 22°.
For the first question, if ∠1 and ∠2 are vertical angles, this means that they are opposite angles and are equal in measure. So, if m∠1 = 108°, then m∠2 = 108° as well.
For the second question, if ∠A and ∠B are complementary angles, this means that their measures add up to 90°. So, if m∠B = 68°, then m∠A = 90° - 68° = 22°.
Vertical angles are congruent, meaning they have the same measure. So if m∠1 = 108°, then m∠2 = 108°.Complementary angles add up to 90°. So if m∠B = 68°, then m∠A = 90° - 68° = 22°.To learn more about intersecting lines please click on below link.
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-4(4x + 4) + 7(1 + 9x)
Answer:
47x - 9
Step-by-step explanation:
-4(4x + 4) + 7(1 + 9x)
-16x -16 + 7 + 63x
47x -9
You can find what x = because there is no = sign. This is in simplest form.
Answer:
47x -9
Step-by-step explanation:
\(-4(4x + 4) + 7(1 + 9x)\\\\\mathrm{Expand}\:-4\left(4x+4\right):\quad -16x-16\\=-16x-16+7\left(1+9x\right)\\\\\mathrm{Expand}\:7\left(1+9x\right):\quad 7+63x\\=-16x-16+7+63x\\\\\mathrm{Simplify}\:-16x-16+7+63x:\\\quad 47x-9\)
a college runner set a school record of 3 minutes and 59.37 seconds in the mile run. assuming that the distance was measured accurately to five significant figures, what was the runner's average speed in kilometers per hour? assume 1 km
The runner's average speed in kilometers per hour is 24.257 km.
The total distance covered by the runner is 1 mile. The relation between kilometers and miles is given as 1 km = 0.62 mi. Converting 1 mile to km by using the given relation, we get-
Distance = 1 mile
= 1 mile × [1 km/0.62 mile]
= 1.6129 km
The time taken to complete a 1-mile run is 3 minutes and 59.37 seconds. The relation between hours and minutes is given below.
1 hour = 60 minutes ……(1)
Converting 3 minutes to hours using equation (1), we get-
3 minutes = 3 minutes × [1 hour/60 minutes]
= 0.05 hours
The relation between hours and seconds is given below.
1 hour = 3600 second …….(2)
Converting 59.37 seconds to hours using equation (2), we get-
59.37 seconds = 59.37 seconds × [1 hour/3600 seconds]
= 0.016492 hours
Total time to cover 1 mile = (0.05 + 0.016491) hours = 0.066492 hours
The average speed of the runner is calculated by the following relation-
Average Speed = Distance (km)/time (hours)
= 1.6129 km/0.066492 hours
= 24.257 km/hour
Therefore, the average speed in kilometers per hour is 24.257km.
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what is the answer to this problem that I am having trouble with?
9514 1404 393
Answer:
see attached
Step-by-step explanation:
Read the values from the graph in the usual way: find the x-coordinate, then locate the point on the graph and find its y-coordinate.
You find the y-coordinate by following the horizontal line to the y-axis, where the numbers are.
Willie and Pedro are reading the same book. Willie read 108 pages in 3 hours, and Pedro read 160 pages in 5 hours. How many more pages per hour did Willie read?
Answer:
4 pages per hour
Step-by-step explanation:
Willie and Pedro are reading the same book. Willie read 108 pages in 3 hours, and Pedro read 160 pages in 5 hours.
We find how many pages per hour each of them read.
For Willie
Willie read 108 pages in 3 hours,
3 hours = 108 pages
1 hour = x
Cross Multiply
3x = 108 pages × 1 hours
x = 108 pages/3
x = 36 pages per hour
For Pedro
Pedro read 160 pages in 5 hours
5 hours = 160 pages
1 hour = x
Cross Multiply
5x = 160 pages × 1 hours
x = 160 pages/5
x = 32 pages per hour.
How many more pages per hour did Willie read?
This is calculated as:
36 pages/hour - 32 pages per hour
= 4 pages per hour
An exponential function of the form ya(b) passes through the points (0.8) and (5,72). Which of the
following is the value of b to the nearest hundredth?
(1) 1.37
(2) 1.41
3) 1.48
4) 1.55
Answer:
Step-by-step explanation:
An exponential function is written as
\(y=a(b)^x\)
where a is the y-intercept
b is the factor of growth
Here, the y intercept is 8 since the point (0,8) indicates when x=0, the function is equal to 8.
So a=8
\(y=8(b)^x\)
To find b, we will use a little of algebraic manipulation
We know that
\(72=8(b)^5\\9=b^5\\9^{1/5} =b\\\)
Which is close to 1.55
12x - 6y = -24 in "function form" is which one of the following? y = -2x + 4
y = - 2x - 4
y = 2x + 4
y = 2x - 4
Other:
Answer:
Step-by-step explanation:
Answer to Consider the area between the graphs x+6y=12 and x+4=y^2. ... This Can Be Computed As A Single Interval Where Alpha= Beta= And H(y)=
(2/3+5/2-7/3)+(3/2+7/3-5/6)
Answer:
after simplifying, we get,
23/6
Step-by-step explanation:
(2/3+5/2-7/3)+(3/2+7/3-5/6)
We simplify,
\((2/3+5/2-7/3)+(3/2+7/3-5/6)\\(2/3-7/3+5/2)+(3/2+7/3-5/6)\\(5/2-5/3)+(9/6+14/6-5/6)\\(15/6-10/6)+((9+14-5)/6)\\(15-10)/6+(23-5)/6\\5/6+18/6\\(5+18)/6\\23/6\)