For this problem, we are provided two points and we need to determine the equation for the line in standard form.
The standard form of a line is given by:
\(Ax+By=C\)However, it is best to find another variation first, like the point-slope form shown below:
\(y-y_p=m\cdot(x-x_p)\)Where "m" is the slope, and (xp, yp) are the coordinates of a known point on the line. We can find the slope as shown below:
\(\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1}\\ \\ m=\frac{-2+2}{-1+6}=\frac{0}{5}=0 \end{gathered}\)The slope of the line is equal to 0, which means that it is a line parallel to the "x" axis. This means that the value of B is 0. The full expression is shown below:
\(\begin{gathered} y+2=0\cdot(x+6) \\ y+2=0 \\ y=-2 \\ y+0\cdot x=-2 \end{gathered}\)The expression of the line in standard form is y+0x=-2.
NEED HELP IN FINDING AREA
Answer:
809 km²
Step-by-step explanation:
I can split this into 3 rectangles. One is 25 by 17, another is 24 by 13, and the last one is 6 by 12. (I had gotten 13 for the second rectangle because 25 - 12 = 13.)
(25 * 17) + (24 * 13) + (6 * 12) {17 is the first number after a multiple of 4 (16). As a result, 25 by 17 will end in "25." 25 by 17 is 425.}
425 + (24 * 13) + (6 * 12) {24 by 13 is 312.}
425 + 312 + (6 * 12) {6 by 12 is 72.}
425 + 312 + 72 {From left to right, add 425, 312, and 72 to get 809}
737 + 72
809 km²
The area of this figure is 809 km².
The conditional statement below is true. If possible, write the biconditional statement.
If 2x = 18, then x = 9.
The biconditional statement for the given conditional statement would be:
2x = 18 if and only if x = 9.
The given conditional statement "If 2x = 18, then x = 9" can be represented symbolically as p → q, where p represents the statement "2x = 18" and q represents the statement "x = 9".
To form the biconditional statement, we need to determine if the converse of the conditional statement is also true. The converse of the original statement is "If x = 9, then 2x = 18". Let's evaluate the converse statement.
If x = 9, then substituting this value into the equation 2x = 18 gives us 2(9) = 18, which is indeed true. Therefore, the converse of the original statement is true.
Based on this, we can write the biconditional statement:
2x = 18 if and only if x = 9.
The biconditional statement implies that if 2x is equal to 18, then x must be equal to 9, and conversely, if x is equal to 9, then 2x is equal to 18. The biconditional statement asserts the equivalence between the two statements, indicating that they always hold true together.
In summary, the biconditional statement is a concise way of expressing that 2x = 18 if and only if x = 9, capturing the mutual implication between the two statements.
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what should be subtracted from 7/12+7/8 to obtain the multiplicated inverse of (4/3-4/9)
To find the subtracted value, we need to calculate the multiplicative inverse of (4/3 - 4/9) and then subtract it from the sum of 7/12 and 7/8.
First, let's find the multiplicative inverse of (4/3 - 4/9):
Multiplicative inverse = 1 / (4/3 - 4/9)
To simplify the expression, we need a common denominator:
Multiplicative inverse = 1 / ((12/9) - (4/9))
= 1 / (8/9)
= 9/8
Now, we need to subtract the multiplicative inverse from the sum of 7/12 and 7/8:
Subtracted value = (7/12 + 7/8) - (9/8)
To perform this calculation, we need a common denominator:
Subtracted value = (7/12 * 2/2 + 7/8 * 3/3) - (9/8)
= (14/24 + 21/24) - (9/8)
= 35/24 - 9/8
To simplify further, we need a common denominator:
Subtracted value = (35/24 * 1/1) - (9/8 * 3/3)
= 35/24 - 27/24
= 8/24
= 1/3
Therefore, subtracting 1/3 from the sum of 7/12 and 7/8 will give you the multiplicative inverse of (4/3 - 4/9).
Here is a right angled triangle work out the value of x using trigonometry
\(~~~~~\sin 30^{\circ} = \dfrac{\text{Perpendicular}}{\text{Hypotenuse} }\\\\\\\implies \dfrac 12 = \dfrac{8}x\\\\\\\implies x = 8\cdot2\\\\\\\implies x = 16 ~ \text{cm.}\)
The measure of the side length is 16 cm after applying the sin ratio which is the side opposite to the angle/hypotenuse.
What is a right-angle triangle?It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.
It is given that:
A right-angle triangle is shown in the picture.
To find the side length of the hypotenuse apply the sin ratio
sin30 = side opposite to the angle/hypotenuse
1/2 = 8/x
x = 8(2)
x = 16 cm
Thus, the measure of the side length is 16 cm after applying the sin ratio which is the side opposite to the angle/hypotenuse.
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Maria Fay bought four Dunlop tires at a local Goodyear store. The salesperson told her that her mileage would increase by 6%. Before this purchase, Maria was getting 24 mpg. What should her mileage be with the new tires?
Note: Round to the nearest hundredth.
Identify the property you would use to solve this equation:
y - 7 = 28
The property used to solve y - 7 = 28 is the Addition Property of Equality
Cathy reads 4 pages of a book each morning
and 5 pages of a book each evening.
How many pages will she read in seven days?
Help me!!!!
Answer:
65
Step-by-step explanation:
A teaching hospital in South-West Part of Nigeria receives on the average 5 pregnant women with high blood pressure per week. What is the probability that on a particular week, the teaching hospital will receive:
1.) No high BP pregnant woman
Answer:
The probability that on a particular week, the hospital will receive on high BP pregnant woman is 0.0068
Step-by-step explanation:
We use the Exponential distribution,
Since we are given that on average, 5 pregnant women with high blood pressure come per week,
So, average = m = 5
Now, on average, 5 people come every week, so,
5 women per week,
so, we get 1 woman per (1/5)th week,
Hence, the mean is m = 1/5 for a woman arriving
and λ = 1/m = 5 = λ
we have to find the probability that it takes higher than a week for a high BP pregnant woman to arrive, i.e,
P(X>1) i.e. the probability that it takes more than a week for a high BP pregnant woman to show up,
Now,
P(X>1) = 1 - P(X<1),
Now, the probability density function is,
\(f(x) = \lambda e^{-\lambda x}\)
And the cumulative distribution function (CDF) is,
\(CDF = 1 - e^{-\lambda x}\)
Now, CDF gives the probability of an event occuring within a given time,
so, for 1 week, we have x = 1, and λ = 5, which gives,
P(X<1) = CDF,
so,
\(P(X < 1)=CDF = 1 - e^{-\lambda x}\\P(X < 1)=1-e^{-5(1)}\\P(X < 1)=1-e^{-5}\\P(X < 1) = 1 - 6.738*10^{-3}\\P(X < 1) = 0.9932\\And,\\P(X > 1) = 1 - 0.9932\\P(X > 1) = 6.8*10^{-3}\\P(X > 1) = 0.0068\)
So, the probability that on a particular week, the hospital will receive on high BP pregnant woman is 0.0068
them: Simplify: (3x^2 + 5x – 6) – (4x^2 + 7x - 3)
Answer: -7x^2 - 2x - 3
Step-by-step explanation:
(3x^2 + 5x – 6) – (4x^2 + 7x - 3)
first, solve the exponents
9x^2 + 5x - 6 - 16x^2 - 7x + 3
then combine like terms
-7x^2 - 2x - 3
What is the reasoning for number 4?
Answer:
Side-Angle-Side (ASA) Congruence Postulate
or
Side-Side-Side (SAS) Congruence Postulate
Step-by-step explanation:
Side MU is congruent to side SE and MS is congruent to side UE (Also stated in 2.). And Angle MSE is congruent to angle MUE and Angle SMU is congruent to angle SEU. (As said in 3.)
Take a look at the image. You could use the SAS postulate or the SSS congruence postulate, both of them are correct and will lead you to the correct answer.
Lmk if you need help on the rest
Please remmeber to mark brainliest!
Solve and graph.
2a − 10 < 2
The calculated solution to the inequality is a < 6
How to determine the solution to the inequalityfrom the question, we have the following parameters that can be used in our computation:
2a - 10 < 2
Divide through the equation by 2
So, we have
a - 5 < 1
Add 5 to both sides
a < 6
Hence, the solution to the inequality is a < 6 and the graph is attached
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Jacob has a job where he earns $200 per week in base pay, plus 5% commission
on his sales. If Jacob sold $8300 in merchandise this week, what is his total
weekly pay?
Each of 6 students reported the number of movies they saw in the past year. Here is what they reported. 14, 11, 15, 19, 12, 10 Send data to calculator Find the mean number of movies that the students saw. If necessary, round your answer to the nearest tenth. movies X Ś
The mean number of movies that the students saw is 13.5 (rounded to the nearest tenth).
To find the mean number of movies the students saw, you need to calculate the average of the given data. Here are the reported numbers of movies seen by the 6 students: 14, 11, 15, 19, 12, 10.
To calculate the mean, you sum up all the reported numbers and divide by the total number of students. In this case, the total number of students is 6.
So, let's calculate the mean:
(14 + 11 + 15 + 19 + 12 + 10) / 6 = 81 / 6 = 13.5
Therefore, the mean number of movies that the students saw is 13.5 (rounded to the nearest tenth).
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convert 2.64 to a fraction
please don't just give the answer. can please give some explanation
Answer:
2 and 16/25
Step-by-step explanation:
first: change 0.64 into a fraction which is 64/100
second: simplify by dividing by four which is:
64/4 = 16
100/4 = 25
so...
2.64 = 2 16/25
HOPE THIS HELPS :)
Answer:
2 and 16/25 OR 66/25
Step-by-step explanation:
As a mixed fraction, 2.64 is 2 and 64/100 because you have 2 whole 100s and a 64/100. Simplify 64/100 to 16/25 (divide both 64 and 100 by 4) and you're left with 2 and 16/25.
In improper form, you have 264/100. Simplify that (divide 264 and 100 by 4) and you're left with 66/25.
A grasshopper jumps from (4, 0) to (20, 0), where the x-axis represents horizontal distance and the y-axis represents the vertical distance from the ground, forming a parabola as it goes. Morgyn wants to write the equation of the parabola in standard form. What other piece of information does she need?
Answer:
The maximum value of the function
Step-by-step explanation:
took the quick check xd <3
DUE IN 30 MINS (6th grade) PLEASE PLEASE HELP ME ASAAP
The ages of people visiting a senior center one afternoon are recorded in the line plot.
A line plot titled Ages At Senior Center. The horizontal line is numbered in units of 5 from 40 to 95. There is one dot above 45 and 80. There are two dots above 70 and 85. There are three dots above 75.
Does the data contain an outlier? If so, explain its meaning in this situation.
No, there is no outlier. This means that the people were all the same age.
No, there is no outlier. This means that the people are all around the mean age.
Yes, there is an outlier of 45. This means that the average person at the center is 45 years old.
Yes, there is an outlier of 45. This means that one person's age was 45, which is 25 years younger than the next closest age
{Please follow the rules Dos and Don't}
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Answer: Yes, there is an outlier of 45, This means that one person's age was 45, which is 25 years younger than the next closest age.
Hope this helps! :)
Step-by-step explanation:
Answer:
D
GIVE HIME BRAINLIEST
Step-by-step explanation:
Currently it is estimated that 3 out of every 1000 Californians are infected with
coronavirus. The so-called rapid "antigen" test for coronavirus has a very low false
positive.rate of just 0.05, but has a high false negative rate of 0.2.
What is the probability that an antigen test comes back positive?
The probability that an antigen test comes back positive is approximately 0.05225, or about 5.225%.
We have,
To find the probability that an antigen test comes back positive, we need to consider both the true positive rate (probability of a positive test given that the person is infected) and the false positive rate.
Now,
Prevalence of coronavirus in California: 3 out of 1000
False positive rate of the antigen test: 0.05 (5 out of 100)
Let's calculate the probability of a positive test result.
The true positive rate can be calculated as 1 minus the false negative rate (probability of a negative test given that the person is infected):
True positive rate = 1 - 0.2 = 0.8 (or 80 out of 100)
The probability of a positive test result can be calculated using Bayes' theorem:
P(Positive test) = P(Positive test | Infected) x P(Infected) + P(Positive test | Not Infected) x P(Not Infected)
P(Positive test) = (0.8 x 3/1000) + (0.05 x 997/1000)
P(Positive test) = 0.0024 + 0.04985
P(Positive test) = 0.05225
Therefore,
The probability that an antigen test comes back positive is approximately 0.05225, or about 5.225%.
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What is -3/2 as a decimal
Answer:
-1.5
Step-by-step explanation:
To convert a fraction to a decimal number divide the numerator (-3) by denominator (2)
Answer:
-1.5
Step-by-step explanation:
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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Can you help me in this one please I don’t understand
Answer:
x = 2 and y = 0
So the answer is c (2,0)
» How many digits will be in the quotient?
39)4,641
Answer:
There will be three digits in the quotient.
Step-by-step explanation:
The answer would be 119. Hope this helped ^^✨
(help) wHICH RAYS FORM THE SIDES OF IHG
Answer:
B and D
Step-by-step explanation:
A ray is just the line so the rays are IH, and HI. It is not IH because that is a line segment. It is not GI because it goes across. Therefore, the answer is B and D.
Answer:
a d
Step-by-step explanation:
Solve for x. Round to the nearest tenth, if necessary.
Answer:
10.7
Step-by-step explanation:
Since this is a right triangle, we can use trig functions to calculate the hypotenuse.
We know the opposite side from the angle labeled 59 degrees.
sin 59 = opp side / hypotenuse
sin 59 = 9.2/x
x = 9.2/ sin 59
x = 10.733
Each line of a computer printout contains 72 characters. A: how many characters can print in a 75-line report? B:The computer printer can print 135 characters each second. How long will it take to print this report.
5 pages X 60 minutes = 300 pages per hour
It will take 1 hour to print 300 pages on a printer that prints at 5 pages per minute. Do you have enough ink to print 300 pages?
What’s X=? Round to the Nearest Hundredth
9514 1404 393
Answer:
9.83
Step-by-step explanation:
The mnemonic SOH CAH TOA is intended to remind you of the relationship ...
Sin = Opposite/Hypotenuse
sin(24°) = 4/x
x = 4/sin(24°)
x ≈ 9.83
givin the sequence
19,13,7,1
what is the 18 term of the sequence
A-71
B-77
C-83
D-89
The 18th term of the sequence is -83, the correct option is C.
What is arithmetic sequence?An arithmetic sequence is sequence of integers with its adjacent terms differing with one common difference.
If the initial term of a sequence is 'a' and the common difference is of 'd', then we have the arithmetic sequence as:
a, a + d, a + 2d, ... , a + (n-1)d, ...
Its nth term is
T_n = a + (n-1)d
(for all positive integer values of n)
And thus, the common difference is
T_{n+1} - T_n
for all positive integer values of n
Given:
The sequence=19,13,7,1...
n=18
D= 13-19
D= 6, a= 19
Now,
=a + (n+1)d
=19+(18-1)x-6
=-83
Therefore, the 18th term of the sequence will be -83
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What is the domain of the function given below
Answer:
c. [-1, infinity)
Step-by-step explanation:
the domain the interval or set of valid x values (while the range is the same for the valid y values).
what is the smallest value of x we see for the graph ?
for x values we need to look left and right.
and the more left the value, the smaller it is.
so, in other words, what is the left-most x value e can find ?
x = -1
that is the "starting point" of the function. there is no functional value for any smaller x.
and then clearly, the function goes on and on to the right without any boundary in sight. so, it keeps going to the right in all eternity, that means it goes to infinity.
therefore the answer.
keep in mind that "infinity" is not a number, only a concept. so, when writing "infinity" at an interval end, it is not included (and we use a round bracket).
Please answer this whole thing
Answer:
A
Step-by-step explanation:
10 x 10 x 10 x 10 = 10,000
Is g = 100 a solution to the inequality below? g 5 < 12
Answer:
no solution
Step-by-step explanation:
5(100)<12
500<12 false
has no solution
x-4y<8
^ graphing inequalities
Answer:
x<8+4y
Step-by-step explanation: