The equation of the line of the other leg of the right triangle if it shares the vertice of (10,0) is y = -1/3x + 10/3
How to find the equation of a line?The equation of a line in slope-intercept form is expressed as y = mx + b
where
m is the slope
b is the y-intercept
Given the coordinate points (-2, 4) and (10, 0)
Find the slope
Slope = -4/12
Slope = -1/3
Determine the y-intecept
0 = -1/3(10) + b
b = 10/3
Determine the equation
y = -1/3x + 10/3
Hence the equation of the line of the other leg of the right triangle if it shares the vertice of (10,0) is y = -1/3x + 10/3
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please help, thank you guys
Step-by-step explanation:
1) 165⁰
2) 180⁰
Note:FOR initial temperature check the temperature at t=0
I hope it helped you
You have 976 grams of a radioactive kind of rhodium. How much will be left after 120 seconds if its half-life is 30 seconds?
grams
there will be approximately 61 grams of the radioactive rhodium remaining after 120 seconds.
What are exponential growth and decay?A rise in the resultant quantity for a given quantity is referred to as exponential growth, and a decrease in the resultant quantity for a given quantity is referred to as exponential decay. Over time, exponential functions monitor constant growth. Examples from the actual world include radioactive decay, compound interest, and bacterial proliferation.
Given, You have 976 grams of a radioactive kind of rhodium.
The formula for the amount of a substance remaining after a certain amount of time given its half-life is:
N = N₀ *[tex](1/2)^{t / t_{1/2} }[/tex]
where:
N₀ is the initial amount of the substance
N is the amount of the substance remaining after time t
t₁/₂ is the half-life of the substance
In this problem, N₀ = 976 grams, t = 120 seconds, and t₁/₂ = 30 seconds. We can plug these values into the formula and solve for N:
N = 976 * (1/2)⁽¹²⁰/³⁰⁾
N = 976 * (1/2)⁴
N = 976 * 0.0625
N ≈ 61
Therefore, after 120 seconds, there will be approximately 61 grams of the radioactive rhodium remaining.
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What is the median of this data set?
{43, 42, 43, 37, 38, 36, 39}
Enter your answer in the box
Answer:
39
Step-by-step explanation:
1- Put your numbers in acending order
2- cross out the first number and the last number until you are in the middle number
3- the number is 39
Answer: 39
Step-by-step explanation: I took the quiz myself and that was the answer.
Alejandro surveyed his classmates to determine who has ever gone surfing and who has ever gone snowboarding. let a be the event that the person has gone surfing, and let b be the event that the person has gone snowboarding. a 4-column table has 3 rows. the first column has entries has surfed, never surfed, total. the second column is labeled has snowboarded with entries 36, 12, 48. the third column is labeled never snowboarded with entries 189, 63, 252. the fourth column is labeled total with entries 225, 75, 300. which statement is true about whether a and b are independent events? a and b are independent events because p(a∣b) = p(a) = 0.16. a and b are independent events because p(a∣b) = p(a) = 0.75. a and b are not independent events because p(a∣b) = 0.16 and p(a) = 0.75. a and b are not independent events because p(a∣b) = 0.75 and p(a) = 0.16.
Using the concept of independent events, it is found that the correct statement is:
a and b are independent events because p(a∣b) = p(a) = 0.75.
When are two events independent?
Two events, A and B, are independent if:
[tex]P(A \cap B) = P(A)P(B)[/tex]
In this problem, the events are:
Event A: Surfing.Event B: Snowboarding.In this problem, out of 300 students, 225 have surfed, hence:
[tex]P(A) = \frac{225}{300} = 0.75[/tex]
48 have gone snowboarding, hence:
[tex]P(B) = \frac{48}{300} = 0.16[/tex]
36 have done both, hence:
[tex]P(A \cap B) = \frac{36}{300} = 0.12[/tex]
The multiplication is:
P(A)P(B) = 0.75 x 0.16 = 0.12.
That is, the probability of A given B is P(A|B) = P(A) = 0.75, hence they are independent.
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Answer:
the answer is B
Step-by-step explanation:
What is the mean of this data set? 3, 5, 10, 11, 15
Answer:
8.8.
Step-by-step explanation:
There are 5 values so:
mean = (3+5+10+11+15)/ 5
= 44/5
= 8.8.
An orchard sells 4 pounds of apples for one dollar how much would 5 pounds of apples cost
Answer:
1.25
Step-by-step explanation:4 pounds equal to 1 dollar so that means that each pound equals to 0.25 cents. SO, now you multiply 0.25 x 5= 1.25
Probability can be expressed as either a decimal, a percentage or a fraction. But no
matter what form it takes, it means the same thing, 1/10, 0.1 and 10% are all different ways
of expressing the same probability.
An easy way to convert a percentage to a fraction is to put the number of the percentage
over 100 and then simplify, for example, 75% is the same as 75/100, or 3/4 The first two
places after a decimal point are the same as a percentage: 0.15 is equal to 15%, and 0.3 is
equal to 30%
Al
E
SI
Which probability is equal to 25%?
A
5/100
B
1/4
С
25/1
D
4/5
Answer:
B. 1/4
Step-by-step explanation:
The easiest way to find the answer here is to (if you have one) use a calculator to divide each fraction.
When divided 1/4, you get .25, and as the explanation says, "The first two places after a decimal point are the same as a percentage: 0.15 is equal to 15%, and 0.3 is equal to 30%."
So, moving the decimal to the right two times will give you your probability of 25%.
Hope this helps :)
Kellen runs for at least 1 hour but for no more than 2 hours. He runs at at an average rate of 6.6 kilometers per hour. The equation that models the distance he runs for t hours is d=6.6t
Find the theoretical and practical domains of the equation.
Select ALL correct answers.
Question 4 options:
The practical domain is all real numbers.
The theoretical domain is all real numbers.
The theoretical domain is all real numbers greater than or equal to one and less than or equal to two.
The practical domain is all real numbers greater than or equal to one and less than or equal to two.
The theoretical domain is all real numbers greater than or equal to one and less than or equal to two. Then the correct option is C.
What is inequality?Inequality is simply a type of equation that does not have an equal sign in it. Inequality is defined as a statement about the relative size as well as is used to compare two statements.
Kellen runs for at least 1 hour but for no more than 2 hours. He runs at an average rate of 6.6 kilometers per hour. The equation that models the distance he runs for t hours is d = 6.6t
Then the domain of the function d will be a real number.
But in the problem, the value of t is more than or equal to one but less than or equal to two.
1 ≤ t ≤ 2
More about the inequality link is given below.
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How can you write
10/3
as a division
expression and as a mixed number?
Answer:
Division: 10 ÷ 3
Mixed Number 3 and 1/3
Answer:
10/3 in a mixed fraction is 3 1/3.
Let us convert the improper fraction to a mixed number.
Step-by-step explanation:
Converting an improper fraction to a mixed number involves dividing the numerator by the denominator.
And we keep the quotient part as separate
The quotient of 10 divided by 3 is 3
While the remainder of 10 divided by 3 is 1
The mixed number is written as Quotient (Remainder/Divisor), i.e., 3 1/3
Thus, 10/3 in a mixed fraction is 3 1/3.
What is the mean, median, and mode for 5, 18, 36, 13, 5, 3, 7, 17
Answer:
mean = Efm÷N
Step-by-step explanation:
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What is the unit rate for headphones if eight headphones cost $390.92
Help me pls I need the unit rate too !
$48.865 per headphone
unit rate : total cost/total items
unit rate:
390.92/8
48.865
Each headphone costs $48.865
12. Ms. Hall wants to buy 2 pairs of shoes. It was buy one at original price of $70 and get one 25% off. How much will Ms. Hall pay for her shoes?
Answer:
17.50
Step-by-step explanation:
The cafeteria at San Isidro Elementary has 18 tables. Fourteen of the tables seat 14 students each and the rest of the tables seat 16 students each. What is the maximum number of students that can sit at the tables in the cafeteria at one time?
Answer:
You have to use the cafeteria-style formula where you multiply all the numbers
Step-by-step explanation:
First u multiply
18 by 14 and then by 16
What is the circumference in centimeters the circle is 24 centemeters in diamater
Answer:
75.398 cm to the nearest thousandth.
Step-by-step explanation:
Circumference = π * diemeter
= 24π
= 75.3982 cm
Choose all expressions that are
equivalent
1 (y + x)
x+y
x-y
0 (y + x)
0 + (y + x)
Answer:
1 (y + x)
(x + y)
Yo I need to bring up my math grade bad so
find the perimeter of the triangle
5ft. 12ft. (that's all )
please show step by step
Answer:
Step-by-step explanation:
Triangle - 3 sides
Perimeter - Add
5ft + 12ft = 17ft
solve using the square root method
Answer:
x = 5
Step-by-step explanation:
5(x-3)^2 - 20 = 0 we can find the value of x by sorting out the number one by one and leaving x alone on one side:
5(x-3)^2 = 20 (transfering 20 to the right side of the equation)(x-3)^2 = 20/5 and that is equal to 4, now find the root for both sides x-3 = 2 add 3 to both sidesx = 5What is true when a system of equations has no solution?
The lines intersect in one place.
The lines are parallel and do not intersect.
The lines coincide (are the same line).
This is impossible
Answer:
D. This is impossible
Step-by-step explanation:
In math, when you solve an answer and you’re given no solution, it means that whatever equation you just did cannot be solved, and is therefore, impossible; there is no answer.
Side note: If you have any further questions feel free to let me know.
Answer:
B. The lines are parallel and do not intersect.
Step-by-step explanation:
1. A toy company finds there is a linear relationship between p, the price they charge for a playground ball, and n(p), the number of balls they sell during a year. When they charge $3, they sell 8000 balls during the year. However, sales drop to 5200 balls when they charge $5 each.
a. Write an equation for the linear function n(p).
b. Use your function to determine the number of balls they can expect to sell during the year if they charge $6.50 for a ball.
Answer:
Below in bold.
Step-by-step explanation:
The general form of a linear function can be written as:
n(p) = kp + C where k and C are constants.
So substituting the given data:
8000 = 3k + C
5200 = 5k + C Subtract
2800 = -2k
k = -1400
and C = 8000 - 3(-1400) = 12200
a. So the equations is:
n(p) = -1400p + 12200
b.
For a charge p of $6.50;
n(p) = -1400*6.5 + 12200
= 3100 balls.
Which of the following describes an example of mutually exclusive outcomes A and B for throwing a single 6-sided
die?
A = the outcome is odd, B = the outcome is 3
A = the outcome is in {1,2,3,4}, B = the outcome is in {4,5,6)
A = the outcome is odd, B = the outcome is even
A = the outcome is less than 6, B = the outcome is more than 1
a. Multiplication Property of Equality
b. Division Property of Equality
c. Addition Property of Equality
d. Subtraction Property of Equality
help me i dont really understand
Answer:
73
Step-by-step explanation:
12(6) + 1/4 • 2^2
Square the 2 first.
12(6) + 1/4 • 4
Then multiply from left to right.
72 + 1
Lastly, add.
73
The parenthesis around the 6 mean multiplication, not the Parenthesis that are grouping symbols if you are learning PEMDAS. So your question has no grouping symbol parenthesis. Next comes Exponents, that's why we squared the 2. Multiply and Divide come next IN THE ORDER THAT THEY APPEAR FROM LEFT TO RIGHT. Then the same method with adding and subtracting. That's called the order of operations.
Which graph represents y as a function of X?
A
B
C
D
Answer:
A
Step-by-step explanation:
Vertical line test. Draw vertical lines (you don't have to actually draw them, imagine them) across the relation. If any line intersects two portions of the relation, it is not a function.
The scores on a standardized exam are normally distributed with a mean of 400 and a standard deviation of 50.
Approximately 40% of the scores are greater than which score?
370
387
413
430
Using the normal distribution, it is found that approximately 40% of the scores are greater than 413.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.In this problem, we have that the mean and the standard deviation of the scores are given by:
[tex]\mu = 400, \sigma = 50[/tex]
Approximately 40% of the scores are greater than the 60th percentile, which is X when Z = 0.253.
Then:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]0.253 = \frac{X - 400}{50}[/tex]
X - 400 = 50(0.253)
X = 412.65.
Rounding up, approximately 40% of the scores are greater than 413.
More can be learned about the normal distribution at https://brainly.com/question/24663213
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Answer:
413
Step-by-step explanation:
I took the test k12
Today, Nate has 100100100 bananas. He will eat 222 of them every day.
Is the number of bananas Nate has left proportional to the number of days that pass?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
Yes
(Choice B)
B
No
Answer:
choice B- no
Step-by-step explanation:
We have been given that Nate has 100 bananas. He will eat 2 of them every day.
Let x represent number of days. So bananas eaten in x days would be .
Total number of bananas, y, left after x days would be
We know that two proportional quantities are in form , where, k is constant of proportionality.
Since our equation is not in form , therefore, number of bananas Nate has left is not proportional to the number of days that pass.
Which expression is equal to:
4b + 4c / z
a. 4(b + c) / z
b. 4b(4c / z)
c. 8bc / z
d. (b + c) ● (4+z)
(marking brainliest)
4(b + c) / z
Reason:
We factor 4 from 4b+4c to get 4(b+c). The z in the denominator stays where it is. This factoring is possible because of the distributive property.
This is why [tex]\frac{4b+4c}{z}[/tex] is the same as [tex]\frac{4(b+c)}{z}[/tex]
Side note: you should use parenthesis to write (4b+4c)/z, which indicates all of 4b+4c is over top the z. This is because 4b+4c/z might get mistaken for [tex]4b+\frac{4c}{z}[/tex]
Find the surface area of the cylinder (please help)
Answer:
surface area we can also take it as total surface area
9 is the radius and 5cm is the height . as they asked total surface area we have to take the area of base so tht we can make it as
total surface area = csa of cylinder + area of base
we know that,
2pirh+pir²
pir(2h+r)
pir(2×5+9)
pir(10+9)
pir(19)
22/7×9×19
3762/7
=> 537.42 cm² is the answer.
2πr²+2πrh
Step-by-step explanation:
2/1*22/7*9/1*9/1+2*22/7*5/1*9/1
2*22*9+2*22*5*9
369+990
answer= 1359
A 9-pound bag of sugar is being spilt into containers that hold 2/3 of a pound. How many containers of sugar will the 9-pound bag fill?
in essence, how many times does 2/3 go into 9? well, is just a division, so
[tex]9\div \cfrac{2}{3}\implies \cfrac{9}{1}\div \cfrac{2}{3}\implies \cfrac{9}{1}\cdot \cfrac{3}{2}\implies \cfrac{27}{2}\implies 13\frac{1}{2}[/tex]
Find the equation of the perpendicular bisector of line MN
Answer:
Y=(-1/2)x+9/2
Step-by-step explanation:
For straight lines y=mx+c
m=gradient
Find the gradient first-m=(y2-y1) /(x2-x1)
Take the points M and N and substitute in the equation
m=(5-2)/(-1-5)
m=-1/2
Gradient of line MN×gradient of perp line =-1
There fore gradient of perp line =2
f(x) = 32
g(x) = 5x + 2
Find
(1) (a). Include any restrictions on the domain.
O A.
---
+2
3.
5.1+
33
A. A
(1) (a) = 5, 2 > 0
B. (1) (z) = 72,2 +0
c. (1) (a) = 1,2+ -
OD (1) (a) = 4+1
--
52
522)