Answer:
AB = 14 units
BC = 11 units
CD = 14 units
AD = 11 units
Step-by-step explanation:
d=√((x2-x1)²+(y2-y1)²)
AB= (-7,6)-(7,6) √((7+7)²+(6-6)²)=√((14)²+(0)²)=√(196+0)=√(196)=14
BC= (7,6)-(7,-5) √((7-7)²+(-5-6)²)=√((0)²+(-11)²)=√(0+121)=√(121)=11
CD= (7,-5)-(-7,-5) √((-7-7)²+(-5+5)²)=√((-14)²+(0)²)=√(196+0)=√(196)=14
AD= (-7,-5,)-(-7,6) √((-7+7)²+(6+5)²)=√((0)²+(11)²)=√(0+121)=√(121)=11
what is the length of ab
y = 2x + 4
4y - 8x = 16
Answer: Infinitely many solutions
Step-by-step explanation:
Solve by Substitution :
Solve equation [2] for the variable y
y = 2x + 4
Plug this in for variable y in equation [1]
4•(2x+4) - 8x = 16
0 = 0 => Infinitely many solutions
Please make me brainliest!
a girl spends 1/2of her money in a store. then she goes to another 1/2 of which was left with her. after she has rs 24 with how much money did she start ?
1/12
24 divided by 2 = 12
What’s the sum of 6 and 7 and divide it by the sum of 10 and 3
Answer:
1
Step-by-step explanation:
(6+7)/(10+3)=1
if a coin is flipped 35 times and lands on heads 21 times what is the relative frequency of Landing on heads
Work Shown:
21/35 = (7*3)/(7*5) = 3/5
In the real world, functions are mathematical representations of input-output situations. A vending machine is one such example. The input is the money combined with the selected button. The output is the product.
Here is another example: The formula for converting a temperature from Fahrenheit to Celsius is a function expressed as:
C = (5/9)*(F - 32), where F is the Fahrenheit temperature and C is the Celsius temperature.
If it is 77 degrees Fahrenheit in Phoenix Arizona, then what is the equivalent temperature on the Celsius thermometer?
Our input is 77.
C = (5/9)*(77 - 32)
C = (5/9)*(45)
C = 25
The equivalent temperature is 25 degrees Celsius.
To complete the Discussion activity, please do the following:
Choose your own function or choose from the list below and then provide a unique example of a function and evaluate the function for a specific input (like the example above).
Arm length is a function of height.
The circumference of a circle is a function of diameter.
The height of a tree is a function of its age.
The length of person's shadow on the ground is a function of his or her height.
Weekly salary is a function of the hourly pay rate and the number of hours worked.
Compound interest is a function of initial investment, interest rate, and time.
Supply and demand: As price goes up, demand goes down.
The correct answer is John's weekly salary is $240 based on his hourly pay rate and the number of hours worked.
Let's choose the function "Weekly salary is a function of the hourly pay rate and the number of hours worked."Example: John works as a part-time employee at a grocery store. His hourly pay rate is $12, and he worked for 20 hours in a week. We can evaluate the function to find his weekly salary.
Weekly salary = Hourly pay rate * Number of hours worked
Weekly salary = $12/hour * 20 hours
Weekly salary = $240
So, John's weekly salary is $240 based on his hourly pay rate and the number of hours worked.
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The map shows an obstacle course at a school fair. The units are given in yards.
What is the total distance of
the obstacle course?
? yards
Start
(-40, -10)
Tire
Race
(-40, -30)
Finish
(10, 20)
Monkey
Bars
(40,20)
Rope
Climb
(40,-30)
The total distance of the obstacle course can be calculated by finding the distance between each pair of consecutive points and adding them up. The distance between two points (x1, y1) and (x2, y2) can be calculated using the formula: distance = sqrt((x2 - x1)^2 + (y2 - y1)^2).
Using this formula, we can calculate the distances between each pair of consecutive points as follows:
Start to Tire Race: distance = sqrt((-40 - (-40))^2 + (-30 - (-10))^2) = 20 yards
Tire Race to Rope Climb: distance = sqrt((40 - (-40))^2 + (-30 - (-30))^2) = 80 yards
Rope Climb to Monkey Bars: distance = sqrt((40 - 40)^2 + (20 - (-30))^2) = 50 yards
Monkey Bars to Finish: distance = sqrt((10 - 40)^2 + (20 - 20)^2) = 30 yards
Adding up all these distances, we get a total distance of 20 + 80 + 50 + 30 = 180 yards for the obstacle course.
Write the fraction as a mixed number 10/20
10. Prime numbers from 1 to 100 are running a restaurant - PRIME SPOT, near a tourist point. On a winter holiday, 1 and the composite numbers up to 100 enter the restaurant for dinner after their picnic at the same point. The dining hall has tables with seating capacity 15 for each. If they occupy tables without leaving any chair free, how many tables are required? If each prime number attender has to serve equal number of customers, how many customers should each one get to serve?
6 tables are required. Each prime number attender should serve 3 customers each.
The prime numbers between 1 and 100 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.
All the numbers other than prime numbers are composite numbers.
The composite numbers from 1 to 100 are: 1, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 60, 62, 63, 64, 65, 66, 68, 69, 70, 72, 74, 75, 76, 77, 78, 80, 81, 82, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, 99, 100.
Now, as there are 25 primes and 75 composites in the group that visited the restaurant, we can calculate the number of tables required by dividing the number of people by the seating capacity of each table.
Each table has a seating capacity of 15, so the number of tables required will be: Number of tables = (Number of customers)/(Seating capacity of each table)Number of customers = 25 (the number of primes) + 75 (the number of composites) = 100Number of tables = 100/15 = 6 tables
Therefore, 6 tables are required.
Now, as each prime number attender has to serve an equal number of customers, we need to calculate how many customers each one should serve.
Each prime attender has to serve 75/25 = 3 customers each, as there are 75 composites and 25 primes.
Thus, each prime number attender should serve 3 customers each.
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Find the difference quotient of f; that is, find f(x+h)-f(x)/h, h≠0, for the following function. Be sure to simplify. F(x)=x^2-8x+5
The difference quotient is 2x+h-8
From the question, we have
(f(x+h)-f(x))/h=(h^2+2hx+x^2-8h-8x+5-(x^2-8x+5))/h
=(h^2+2hx+x^2-8h-8x+5-x^2+8x-5)/h
= (h^2+2hx-8h-8x+5+0+8x-5)/h
= (h^2+2hx-8h-8x+5+8x-5)/h
= (h^2+2hx-8h+0+5-5)/h
=h(h+2x-8)/h
=h+2x-8
=2x+h-8
Subtraction:
Subtraction represents the operation of removing objects from a collection. The minus sign signifies subtraction −. For example, there are nine oranges arranged as a stack (as shown in the above figure), out of which four oranges are transferred to a basket, then there will be 9 – 4 oranges left in the stack, i.e. five oranges. Therefore, the difference between 9 and 4 is 5, i.e., 9 − 4 = 5. Subtraction is not only applied to natural numbers but also can be incorporated for different types of numbers.
The letter "-" stands for subtraction. Minuend, subtrahend, and difference are the three numerical components that make up the subtraction operation. A minuend is the first number in a subtraction process and is the number from which we subtract another integer in a subtraction phrase.
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Answer:
Step-by-step explanation:
write inequality shown y=-11/7x-4
Answer:The inequality represented by the equation y = -11/7x - 4 can be written as:
y ≤ -11/7x - 4
This represents a less than or equal to inequality, indicating that the values of y are less than or equal to the expression -11/7x - 4.
Step-by-step explanation: .
Help with the following equation 8x²-6x-5=x
Answer:
\(8 {x}^{2} - 6x - 5 = x\)
\(8 {x}^{2} - 7x - 5 = 0\)
x = (7 + √((-7)^2 - 4(8)(-5)))/(2×8)
= (7 + √(49 + 160))/16
= (7 + √209)/16
= -.4661, 1.3411 (to 4 decimal places)
A straight highway is 100 miles long, and each mile is marked by a milepost numbered from 0 to 100. A rest area is going to be built along the highway exactly 7 miles away from milepost 58. If m is the milepost number of the rest area, which of the following equations represents the possible locations for the rest area?
Answer:
Step-by-step explanation:
The milepost number of the rest area is 7 miles away from milepost 58, so it can be represented by the equation:
m = 58 + 7
This equation states that the milepost number of the rest area is equal to 58 plus 7, or 65. Therefore, the rest area can be located at milepost 65.
What is the absolute
value for:
| +98|
Answer:
The absolute value of +98 is simply 98. So, | +98| = 98.
Step-by-step explanation:
Answer:
98
Step-by-step explanation:
The absolute value of a number is its POSITIVE distance from 0, so as +98 is 98 away from 0, then |+98| = 98.
Use numerical evidence to estimate the value of the limit to at least 2 decimal places.
If the equation be \($\lim _{x \rightarrow 6}\left(\frac{x^2-x-30}{x^2-3 x-18}\right)$$\) then the value is 1.22222
What is meant by numerical evidence?The term "numerical evidence" describes information that is expressed in a numerical manner, such as numbers, quantities, or statistical data. It is thought to be objective and quantifiable, and it is used to support a claim or argument.
The quantity of sales made during a specific business quarter is an example of numerical data. Simply put, if the response includes a number, the data is quantitative (numerical).
Let the equation be \($\lim _{x \rightarrow 6}\left(\frac{x^2-x-30}{x^2-3 x-18}\right)$$\)
Simplifying the above equation, we get
\($\frac{x^2-x-30}{x^2-3 x-18}= \frac{x+5}{x+3}$\)
\($=\lim _{x \rightarrow 6}\left(\frac{x+5}{x+3}\right)$$\)
Plug in the value x = 6
= (6 + 5)/(6 + 3)
= 11/9 = 1.22222
Therefore, the equation of \($\lim _{x \rightarrow 6}\left(\frac{x^2-x-30}{x^2-3 x-18}\right)$$\) be 1.22222.
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6. If g(x) = 3(x² − 1) + 7, what
-
is the value of g(-7)?
Answer: 151
Step-by-step explanation:
g(x)= 3(x² − 1) + 7
g(-7)= 3(-7²−1) + 7
g(-7)= 3(49-1) + 7
g(-7)= 3(48)+7
g(-7)= 144+7
g(-7)= 151
SOMEONE PLEASE HELPP MEE
The end-points of the line segment will be negative 1.25 and 0.25.
What is a number line?A number line refers to a straight line in mathematics that has numbers arranged at regular intervals or portions along its width. A number line is often shown horizontally and can be postponed in any direction.
The length of the line segment is 1.50 units and the midpoint of the line segment is negative 0.50. Then the end-points of the line segment are given as,
⇒ - 0.50 ± (1.50) / 2
Simplify the expression, then we have
⇒ - 0.50 ± (1.50) / 2
⇒ - 0.50 - (1.50) / 2, - 0.50 + (1.50) / 2
⇒ - 0.50 - 0.75, - 0.50 + 0.75
⇒ - 1.25, 0.25
The end-points of the line fragment will be negative 1.25 and 0.25.
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Pls help this is due today ! Find the value x:
Answer:
x = 12
Step-by-step explanation:
180° = (3x - 6) + (8x + 4) + 50° because all interior angles of a triangle add up to 180°
180° = 11x +48°
11x = 132°
x = 12
At a used book sale, 5 books cost $15.
What is the cost per book?
Type your answer here...
A
fx
At this rate, how many books can you buy for $21?
Type your answer here...
A
Answer:
The first question is simple. It's $3 for 1 book. The second question is 7.
Step-by-step explanation:
15/5 = 3
15/5 = 21/x
15x = 105
7
how to find rations in triangles
Answer:
When two triangles are similar, the reduced ratio of any two corresponding sides is called the scale factor of the similar triangles.
Step-by-step explanation:
Pls help best will get Brainliest
Missing addend: 1/2 + 1/4
Missing Sums: 5/8 and 3/4
Step-by-step explanation:
The pattern of the addend is that the first term increases by 1/8 and the second term is always 1/4. If only the first term increases by 1/8, that means the total sum will increase by 1/8 each time also.
5. A cabin rental costs $100 deposit plus $75 per day. Find the cost of renting a cabin for the
month of June.
Answer:
the answer to this question is $2,350
Step-by-step explanation:
june has 30 days so $75 × 30 + $100 = $2,350
A bag contains 7 blue, 4 yellow, 4 green, and 5 red marbles. Find the probability of choosing a green marble without looking. Mark only one oval. Dood
Answer:
1/4
Step-by-step explanation:
total balls=7+4+4+5=20
probability of green marble=?
green marbles are 5 so,
Probability=number of favourable outcomes / number of all possible outcomes
total outcomes=20
green ball chances=5
=5/20
=1/4
(5+2×8)/6=x(4+6) what is the value of x ?
Answer:
Step-by-step explanation:
Answer:
x= 7/20
Step-by-step explanation:
(5+2×8)/6=x(4+6)
(5+16) /6 = 4x+6x
21/6=10x (divide 21/6 by 3)
7/2=10x
7/2×1/10= x
x= 7/20
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Find the 46th term 10,17,24
Answer:
325
Step-by-step explanation:
Notice you are adding 7 everytime.
So the sequence would be:
a(n) = 10 + 7n
n=0 gives a(0)=10, which is the first term.
so the 46th term has n=45.
a(45)=10 + 7*45=325
Answer:
325
Step-by-step explanation:
since the series have the same common difference(d) is known as arithmetic progression so 46th is obtained by 46th=1term+45d but d is obtainned by taking difference between 1st and 2nd term or 2nd and 3rd term and 1st term=10
A large clock in a town square has a minute hand that is 10 feet long. Which value is the best estimate of
how many degrees the minute hand moves from 4:00 - 4:40?
Answer: 240 degrees
Step-by-step explanation: minute hand makes 360 degree circle in hour.
There is no influence for the length of hand in this case.
40 minutes is 2/3 hours. 2/3 ·360 degrees
how do i math? plssssssssssssssssss answer
Answer:
you just math you know pretty easy when you know what to do
Step-by-step explanation:
just practice
Graph the function defined by f(x) = |-x + 1|
The options are below. I got it wrong. It is not the checked one.
Note that
\(|-x + 1| = |-1 (x - 1)| = |-1| |x - 1| = |x - 1|\)
so the graph would be of \(|x|\) shifted one unit to the right. This matches the first option.
What is the slope of the line that contains the points (−3, −1) and (3, −10)?
Undefined
0
negative two thirds
negative three halves
The slope of the line that contains the points (-3, -1) and (3, -10) is -3/2.
Given two points.
We have to find the slope of the line.
Slope of a line passing through (x, y) and (x', y') is,
Slope = (y' - y) / Ix' - x)
Here two points are,
(-3, -1) and (3, -10)
Slope = (-10 - -1) / (3 - -3)
= -9 / 6
= -3/2
Hence the slope of the line is -3/2.
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Suppose a life insurance company sells a
$280,000
1-year term life insurance policy to a
20-year-old
female for
$270.
According to the National Vital Statistics Report, 58(21), the probability that the female survives the year is
0.999544.
Compute and interpret the expected value of this policy to the insurance company.
Answer:
$142.32, profit on sale of the policy
Step-by-step explanation:
You want to know the expected value of a $280,000 life insurance policy sold for $270, if the probability the insured will live for the year is 0.999544.
CostThe insurance company expects to have to pay the $280,000 death benefit for 0.000456 of the policies issued. That means their expected payout on any one policy is ...
0.000456 × $280,000 = $127.68
ProfitThe company gets a premium of $270 for the policy, so the expected value of the policy to the company is ...
$270 -127.68 = $142.32
The expected value of the policy to the company is $142.32.
This represents its profit from sale of the policy.
__
Additional comment
Of course, the company has expenses related to the policy, perhaps including a commission to the agent selling it, and expenses related to handling claims. That is to say that not all of the difference between the premium and the average death benefit is actually profit. It is what might be called "contribution margin."
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