Answer:
12
Step-by-step explanation:
Divide:
-72/-6= 12
Check:
6x12= 72
add signs: -6x12=-72
What is the term in mathematics for the operation or number that leaves others unchanged when combined with them? In multiplication, it is one, while in addition, it is zero?
The term is called an identity element. In multiplication, the identity element is one because any number multiplied by one results in the same number. In addition, the identity element is zero because any number added to zero results in the same number.
The term in mathematics for the operation or number that leaves others unchanged when combined with them is called the identity element.
It is also known by the name of neutral element.
In multiplication, the identity element is one (1) because when you multiply a number by one the result remains the same as the original number. For any number a,
a1=1a=a.
While in addition, the identity element is zero (0) because when you add zero to a number, the result remains the same as the original number. For any number a,
a+0=0+a=a.
There is no identity element for subtraction, and division only has an identity element for certain sets.
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HELP PLS
Jeremy drew out the route he will hike over a 3-day period on the coordinate grid below. He will hike from Point A to Point B and from Point B to Point C on the first two days. On day 3, he will hike directly from Point C to Point A.
If each grid unit represents a distance of 1 mile, what is the distance Jeremy will need to travel between Point C and Point A?
The distance Jeremy will need to travel between Point C and Point A 19.69 miles.
We have given that,
Jeremy drew out the route he will hike over a 3-day period on the coordinate grid below.
He will hike from Point A to Point B and from Point B to Point C on the first two days.
On day 3, he will hike directly from Point C to Point A.
We have to determine the distance Jeremy will need to travel between Point C and Point A.
What is the distance formula?
\(d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}\)
d = distance
(x_1, y_1) = coordinates of the first point
(x_2, y_2) = coordinates of the second point
(4,9)=(x_1,y_1)
(-4,-9)=(x_2,y_2)
\(d = \sqrt{(-4 - 4)^2 + (-9-9)^2}\\d=\sqrt{(8)^2+(18)^2} \\d=2\sqrt{97}\\ d=19.69\)
Therefore, The distance Jeremy will need to travel between Point C and Point A 19.69 miles.
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What is the range of the function g(x) = |x – 12| – 2?
{y | y > –2}
{y | y > –2}
{y | y > 12}
{y | y > 12}
The range of the function g(x) = |x - 12| - 2 is {y | y > -2}, indicating that the function can take any value greater than -2.
To find the range of the function g(x) = |x - 12| - 2, we need to determine the set of all possible values that the function can take.
The absolute value function |x - 12| represents the distance between x and 12 on the number line. Since the absolute value always results in a non-negative value, the expression |x - 12| will always be greater than or equal to 0.
By subtracting 2 from |x - 12|, we shift the entire range downward by 2 units. This means that the minimum value of g(x) will be -2.
Therefore, the range of g(x) can be written as {y | y > -2}, which means that the function can take any value greater than -2. In other words, the range includes all real numbers greater than -2.
Visually, if we were to plot the graph of g(x), it would be a V-shaped graph with the vertex at (12, -2) and the arms extending upward infinitely. The function will never be less than -2 since we are subtracting 2 from the absolute value.
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Write the radio 1:3:6 in a percentage
Answer:
150%
Step-by-step explanation:
Answer:
100 percent is the answer
What number can be subtracted from
974,798 to make 291,256?
Answer:
Step-by-step explanation:
answer: 683542
974798-683542= 291256
974798-291256=683542
Question 4 of 5
Use the area of the rectangle to find the area of the triangle
84
O A. The area of the triangle is 14 square feet, because the area of the
rectangle is 28 square feet.
OB. The area of the triangle is 16 square feet, because the area of the
rectangle is 32 square feet.
O C. The area of the triangle is 32 square feet, because the area of the
rectangle is 32 square feet.
OD. The area of the triangle is 16 square feet, because the area of the
rectangle is square feet
Answer:
B
Step-by-step explanation:
the area of the rectangle is 4x8 = 32
the area of each half of the triangle is 4x4/2 = 8.
8x2 = 16.
The triangle is 16, the rectangle is 32
Use the combination formula to solve a problem when n = 7 and r = 5.
Answer:
21 is your answer
Step-by-step explanation:
The combination formula is used to calculate the number of ways to choose r items from a set of n items without regard to order. The formula is:
C(n,r) = n! / (r! * (n-r)!)
where n is the total number of items and r is the number of items to be chosen.
Using this formula, we can solve the problem when n = 7 and r = 5 as follows:
C(7,5) = 7! / (5! * (7-5)!)
= (7 x 6 x 5 x 4 x 3 x 2 x 1) / [(5 x 4 x 3 x 2 x 1) x (2 x 1)]
= (7 x 6) / (2 x 1)
= 21
Therefore, there are 21 ways to choose 5 items from a set of 7 items without regard to order.
HELP!!!! My Calculator Won't Work!
What is (5412^2)-(7896)?
Answer:
(5412^2)-(7896) equals 29,281,848.
Step-by-step explanation:
5,412 squared, minus 7896, equals 29,281,848.
Answer:
(5412^2)-(7896)=
29281848
Pat found the sum of the first 2021 positive even integers and Ray found the sum of the first 2022 positive even integers. By how much does Ray's sum exceed Pat's sum
The sum of the first 2021 positive even integers is (2021 x 2022). Therefore, Ray's sum exceeds Pat's sum by 2052.
The sum of the first 2021 positive even integers is given by 2+4+6+...+4040. To find this sum, we can use the formula for the sum of an arithmetic series:
S = (n/2)(a + l)
where S is the sum of the series, n is the number of terms, a is the first term, and l is the last term. In this case, n = 2021, a = 2, and l = 4040 (which is the 2021st even integer). So we have:
S = (2021/2)(2 + 4040)
= 2041210
Therefore, Pat's sum is 2041210.
The sum of the first 2022 positive even integers is given by 2+4+6+...+4042. Using the same formula as above, we have:
S = (2022/2)(2 + 4042)
= 2043262
Therefore, Ray's sum is 2043262.
To find by how much Ray's sum exceeds Pat's sum, we can subtract Pat's sum from Ray's sum:
2043262 - 2041210 = 2052
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somebody plz answer.
Answer:
IT'S D
Step-by-step explanation:
LOOK AT THE PATTERN AND YOU WILL UNDERSTAND.
Answer:
ii honestly think d
Step-by-step explanation:
3. Given that x = 3 and y = 4, find the value of the following
expression (3x + 4y)^2 + (8x + 7y)² + 24xy
Answer: 3353
Let's solve this equation:
[(3)(3)+(4)(4)]2+[(8)(3)+(7)(4)]2+(2)(3)(4)
=(9+(4)(4))2+((8)(3)+(7)(4))2+(2)(3)(4)
=(9+16)2+((8)(3)+(7)(4))2+(2)(3)(4)
=252+((8)(3)+(7)(4))2+(2)(3)(4)
=625+((8)(3)+(7)(4))2+(2)(3)(4)
=625+(24+(7)(4))2+(2)(3)(4)
=625+(24+28)2+(2)(3)(4)
=625+522+(2)(3)(4)
=625+2704+(2)(3)(4)
=3329+(2)(3)(4)
=3329+(6)(4)
=3329+24
=3353
Hope this helps!!
Find intervals of concavity for f(x) = 3 cos x, with 0 < x < 21. Show your work for full credit.
The intervals of concavity for f(x) = 3 cos x, with 0 < x < 21, are (0, π/2) and (3π/2, 2π).
To find the intervals of concavity for f(x) = 3 cos x, we need to analyze the second derivative of the function.
First, let's find the second derivative of f(x):
f'(x) = -3 sin x (derivative of cos x)
f''(x) = -3 cos x (derivative of -3 sin x)
Now, we can analyze the concavity of f(x) by considering the sign of the second derivative:
When x ∈ (0, π/2): In this interval, cos x > 0, so f''(x) < 0. The second derivative is negative, indicating concavity downwards.
When x ∈ (π/2, 3π/2): In this interval, cos x < 0, so f''(x) > 0. The second derivative is positive, indicating concavity upwards.
When x ∈ (3π/2, 2π): In this interval, cos x > 0, so f''(x) < 0. The second derivative is negative, indicating concavity downwards.
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HELP ME ITS SO EASY BUT I NEED HELP
Answer:
7.2111(4 decimal places)
Step-by-step explanation:
a squared by b squared=c squared
36 + 16 is 52, so then you need to square root 52 which is 7.2111 to 4 decimal places. I hope you benefit from this. Cheers
I NEED HELP!!!! THIS ASSIGNMENT IS DUE IN 1 HOUR AND I JUST STARTED IT PLZZZZ HELP ME!!!
Answer:
\(y=\frac{10x-8}{7}\)
or
y = (10x - 8) ÷ 7
Step-by-step explanation:
\(10x-7y=8\\-7y=8-10x\\7y=10x-8\\y=\frac{10x-8}{7}\)
What is the equation of a line that passes through the points (0,4) and (3,8)?
Answer:
y = 4/3x + 4
Step-by-step explanation:
The equation is y = mx + b
m = the slope
b = y-intercept
Slope = rise/run or (y2 - y1) / (x2 - x1)
Points (0,4) and (3,8)
We see the y increase by 4 and the x increase by 3, so the slope is
m = 4/3
Y-intercept is located at (0,4)
So, the equation is y = 4/3x + 4
The slope of the line can be found using the formula:
slope = (y2 - y1) / (x2 - x1)
where (x1, y1) = (0, 4) and (x2, y2) = (3, 8)
slope = (8 - 4) / (3 - 0) = 4/3
Now we can use the point-slope form of the equation of a line:
y - y1 = m(x - x1)
where m is the slope and (x1, y1) is one of the given points. Choosing (0, 4) as the point, we get:
y - 4 = (4/3)(x - 0)
Simplifying:
y - 4 = (4/3)x
y = 4/3 x + 4
Therefore, the equation of the line is y = 4/3 x + 4.
Find the remainder when p(x)= x^5 + x^4 + x^3 + x^2 + 2x + 2 is divided by q(x) = x + 1
Answer:
0
Step-by-step explanation:
Given a polynomial p(x) divided by (x + h), then the remainder is
p(- h)
Here divisor is (x + 1), so evaluate p(- 1) for remainder
p(- 1) = \((-1)^{5}\) + \((-1)^{4}\) + (- 1)³ + (- 1)² + 2(- 1) + 2
= - 1 + 1 - 1 + 1 - 2 + 2
= 0
This means that (x + 1) is a factor of p(x)
You bought a winter coat for S48.75. The original price was $75. What percent of the original price did you pay for the coat?
Answer:
53.85%
Step-by-step explanation:
75-48.75= 26.25
26.25/48.75x100= 53.8461538462 Round 53.85%
Check Answer:
48.75 x 53.85%=26.251875 Round 26.25
48.75 + 26.25=75
Hence, the correct answer is 53.85%.
In November 2014, the Miami Marlins agreed to pay Giancarlo Stanton $325 million over 10 years. If this salary were to be covered by ticket sales only, how many more tickets per game would the Marlins tickets per home game have to sell to cover Stanton's salary in the 81 home games per year if the average ticket price is $75 ? each year
The Miami Marlins would need to sell approximately 5,350 more tickets per game to cover Giancarlo Stanton's salary if ticket sales were the only source of revenue.
To calculate how many more tickets per game the Marlins would need to sell to cover Giancarlo Stanton's salary, we need to determine the total cost per game and then divide it by the average ticket price.
Total cost per game:
Stanton's salary over 10 years is $325 million. To find the annual cost, we divide this amount by 10: $325 million / 10 = $32.5 million per year. Since there are 81 home games per year, the cost per game is $32.5 million / 81 = $401,234.57 (rounded to the nearest cent).
Number of tickets per game:
To cover the total cost per game, we divide it by the average ticket price. $401,234.57 / $75 = 5,349.80 (rounded to the nearest ticket).
Therefore, the Marlins would need to sell approximately 5,350 more tickets per game to cover Giancarlo Stanton's salary if ticket sales were the sole source of revenue.
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Question 6 of 25
f(x) = 5x + 3. Find the inverse of f(x).
O A. f-¹(x)=3-5x
OB. f-¹(x) = x-5/3
OC. f-¹(x) = 5x - 3
OD. f-¹ (x) = x-3/5
It is option D (f-¹ (x) = x-3/5
Twelve education students, in groups of four, are taking part in a student-teacher program. Mark cannot be in the first group because he will be arriving late. How many ways can the instructor choose the first group of four education students?.
330 ways can the instructor choose the first group of four education students.
What is probability in math?
Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e. how likely they are to happen, using it.Given:
12 students
3 groups consisting of 4 students.
Mark can't be in the first group.
The combination formula that I used is = n! / r!(n-r)!
where: n = number of choices ; r = number of people to be chosen.
This is the formula I used because the order is not important and repetition is not allowed.
Since Mark can't be considered in the first group, the value of n would be 11 instead of 12. value of r is 4.
numerator: n! = 11! = 39,916,800
denominator: r!(n-r)! = 4!(11-4)! = 4!*7! = 120,960
Combination = 39,916,800 / 120,960 = 330
Therefore, There are 330 ways that the instructor can choose 4 students for the first group.
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In three days the temperature dropped 27 degrees. how many degrees did it drop?
Answer:
i thinks its 30
Step-by-step explanation:
no exp
Let's say that the value of a car over time is given by the equation:
y = 20,000 (.88)
Tell me the following two things:
a) Is this a growth or decay problem and why?
b) What is the percent amount that the value changes by each year?
Answer:
Step-by-step explanation:
So bascially decay means shrinks or shrivels. Growth means like growing, bigger, sort of like a happy plant :D.
To find if this is getting bigger or is shrinking, lets plug in something simple like 1 for the time(t). Sooo:
20,000*.88^1
Since its a 1 exponent it does nothing so:
20,000*.88
Now this is 17600 you can use calculator but if you do this in head like me all I did is multiply 88 by 2 which was simply since 8 times 2 is 16 so 160+16 is 176 then I added zeros:
y=17600
As we can see this is smaller than 20,000, so it is a decaying problem.
By what percent tho.
Well this is pretty easy to reconize once you understand where to find it.
When they talk about percentage, they mean how much it decreased by.
This is 100%-the multiplyied value.
In this case the multiplyed value is 0.88, sooo:
100%-88%=18%
So the percent amount that the value decreased by is 18%.
Hope this helps!
what is the electron domain charge cloud geometry of brf5
The electron domain charge cloud geometry of \(BrF_5\) is trigonal bipyramidal.
To determine the electron domain charge cloud geometry of \(BrF_5\), we need to examine the number of electron domains around the central atom (Br).
\(BrF_5\) consists of one central bromine atom (Br) surrounded by five fluorine atoms (F). Each bond and lone pair of electrons represents an electron domain.
In \(BrF_5\), there are five bonding pairs (Br-F) and no lone pairs around the central bromine atom. Therefore, the total number of electron domains is five.
Based on this information, the electron domain charge cloud geometry of \(BrF_5\) is trigonal bipyramidal.
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What are the 7 whole numbers?
Answer:
There are an infinte amount of whole numbers
Step-by-step explanation:
7 examples are, 0, 3, 7 , 8 ,9 14, 39
find the next four terms of the geometric sequence given the a1=2x r=x³
Answer: \(2\text{x}^4, \ 2\text{x}^7, \ 2\text{x}^{10}, \ 2\text{x}^{13}\)
===========================================================
Explanation:
The first term is \(a_1 = 2\text{x}\) and the common ratio is \(r = \text{x}^3\)
To get the second term, we multiply the first term by that common ratio
\(a_2 = a_1*r = 2\text{x}*\text{x}^3 = 2\text{x}^4\)
Repeat a similar idea for the third term
\(a_3 = a_2*r = 2\text{x}^4*\text{x}^3 = 2\text{x}^{4+3} = 2\text{x}^7\)
and the fourth term is
\(a_4 = a_3*r = 2\text{x}^7*\text{x}^3 = 2\text{x}^{7+3} = 2\text{x}^{10}\)
The fifth term is
\(a_5 = a_4*r = 2\text{x}^{10}*\text{x}^3 = 2\text{x}^{10+3} = 2\text{x}^{13}\)
Something to notice: The exponents of the first five terms are: 1, 4, 7, 10, 13. The sequence of exponents is arithmetic even though the original underlying sequence is geometric.
The reason why the exponent sequence is arithmetic is because we keep multiplying by \(\text{x}^3\), and hence we keep adding 3 to each exponent to get the next exponent.
-----------------------------------------
To summarize, the first five terms are:
\(2\text{x}, \ 2\text{x}^4, \ 2\text{x}^7, \ 2\text{x}^{10}, \ 2\text{x}^{13}\)
We will ignore the first term 2x since your teacher wanted you to find the next four terms after that first term (i.e. term2 through term5).
kayla thought of a number, added 4, multiplied by 3, subtracted 5, and got 28 as her final result. what number did she start with?
Answer:
21
Step-by-step explanation
can be used to determine the percentage of data values that must be within one, two, and three standard deviations of the mean for data having a bell-shaped distribution. a. a boxplot b. chebyshev's theorem c. the empirical rule d. a five-number summary
The empirical rule may be used to determine the percentage of data values that must be within only one, two, and three standard deviations of the mean for data having a bell-shaped distribution.
The 68 95 99 rule, commonly referred to as the empirical rule in statistics, asserts that given normal distributions, 68% of observed data points will fall within one standard deviation from the mean, 95% will fall between two standard deviations, and 99.7% will happen within three standard deviations.
Fairly anticipate that your data will resemble a normal distribution, the empirical rule, the mean, as well as the standard deviation become even more beneficial. Determine probabilities and percentages for many events just by knowing these two statistics.
The term "empirical rule" derives from empirical research, which relies on measurements and observations of actual results rather than theory. In other words, the term "empirical" denotes a foundation in actuality.
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Five members of the Varsity Math team are running late for a big
competition and hurrying toward the arena - but they forgot that they would
have to cross the stream that cuts through campus. When they reach the
stream, there's a small boat tied up on their side that they can "borrow" to get
to the other side.
The boat will hold one, two or three of the students, but not more.
Fortunately, two of the team members are also on the crew team, and when
the boat contains only one or both of them, they can make it across the stream
in one minute. Unfortunately, the other three teammates are very
inexperienced with boats, and when any of them is aboard, there is so much
awkwardness and flailing that the crossing will take four minutes, regardless
of whether one of the crew teammates is on board.
The team members adopt the fastest strategy for rowing back and forth
across the stream to get everyone to the other side for the competition. How
many minutes does it take all five team members to get across?
Answer:
8 min
Step-by-step explanation:
Crew C =2
loser L =3
min 1 2C goes
min 1 1C comes
min 4 3L goes
min 1 1C comes
min 1 2C goes
total min 8
Malcolm and Theo's families are both traveling to the same vacation resort. The equation d=65t models the distance, d, that Malcolm's family travels after t hours. How much faster did Malcolm's family travel than Theo's family
The equation d=65t models the distance, d, that Malcolm's family travels after t hours. Malcolm's family travels 65 miles per hour faster than Theo's family.
The equation d=65t models the distance, d, that Malcolm's family travels after t hours. To calculate how much faster Malcolm's family travels than Theo's family, we must first know the speed of Theo's family. Let's say Theo's family travels at 25 miles per hour. To calculate the difference in speed between the two families, we must subtract 25 mph from 65 mph. The difference is then 40 mph, meaning Malcolm's family travels 40 mph faster than Theo's family.
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11f - (-2f + 2); f = 12
9514 1404 393
Answer:
154
Step-by-step explanation:
If you want the value of this expression, put 12 where f is and do the arithmetic.
11(12)-(-2(12)+2)
= 132 -(-24 +2)
= 132 -(-22) = 132 +22
= 154