Answer:
1/5 and -k/5+2
Step-by-step explanation:
inverse of 5= 1/5
swap the variables: y=10−5k becomes k=10−5y
Now, solve the equation k=10−5y
for y
y=−k/5+2
In triangle PQR m angle P=60°, and m angle Q=30°, and m angle R=90°. Which of the following statements about triangle PQR are true? Check all that apply.
Answer: A, C, and F
Step-by-step explanation:
The correct statements about triangle PQR.are given by options A), B), and F) and this can be determined by using the trigonometric functions.
Given :
In triangle PQR, angle P is 60°, angle Q is 30° and angle R is 90°.
The trigonometric functions can be used in order to determine the correct statements about triangle PQR.
[tex]\rm sin30 = \dfrac{PR}{QP}[/tex]
[tex]\rm PQ = 2\;PR[/tex]
[tex]\rm cos30 = \dfrac{QR}{QP}[/tex]
[tex]\rm PR=\dfrac{\sqrt{3} }{2}\;PQ[/tex]
[tex]\rm tan30 = \dfrac{PR}{QR}[/tex]
[tex]\rm \sqrt{3}\; PR= QR[/tex]
[tex]\rm sin60 = \dfrac{QR}{PR}[/tex]
[tex]\rm QR=\dfrac{\sqrt{3} }{2} \;PR[/tex]
[tex]\rm cos60 = \dfrac{PR}{QP}[/tex]
[tex]\rm PR=2\;PQ[/tex]
[tex]\rm tan60 = \dfrac{QR}{PR}[/tex]
[tex]\rm PR=\sqrt{3} \; QR[/tex]
Therefore, the correct option A), B), and F).
For more information, refer to the link given below:
https://brainly.com/question/13710437
6x^2-19x+3=0
Find both of the x
Joy hiked 9.8 miles on Saturday and 4.2 miles miles on Sunday. How much farther did Joy hike on Saturday than on Sunday? miles
Answer:5.6 I think
Step-by-step explanation:yea I just minus them and got that so
3÷x-1-3÷x+1=4 solve this equation in in quadratic equation
Answer: that equation is wrong because ever time I put the equation in the calculator it would not give me the answer, and it will tell me that We think you wrote this 3-:x-1-3-:x+1=4.
may you write the equation a little please, not to mean or anything but it would not give me the answer.
Answer:
no solution
Step-by-step explanation:
Simplify the sum. (10x^5+1x+8)+(2x^5+8x^2+4)
Answer:
12x^5 + 8x^2 + x + 12
Step-by-step explanation:
there are 120 calories in 2/3 cup. how many calories are in 1 cup?
Answer: 180
Step-by-step explanation: If of a 2/3 of a cup is 120 then 1/3 of a cup is 60. if 1/3 is 60 the 1 cup is 180.
we cannot survive without water give reason why
Answer:
Because we don't have life without water it is precious
HELP!!! use Gauss-Jordan elimination to solve the following linear system
-x+6y=20
-x+3y=8
I solved it using my calculator but you can also solve the matrix by hand.
can you please help me with this question
Answer:
D
Step-by-step explanation:
4 * 20 = 80
find mesure of angle 2 (pic attached) (will mark brainliest)
Answer: The answer is C. 120
I hope u pass the test gl :)
I hope this is the right answer
Mr. Smith provides music lessons online for a fee. He charges $15 per lesson plus an initial fee of $30. How many lessons could Jason sign up for if he wants to spend $120?
Wright an equation to represent how many lessons Jason could sign up for. Show all steps to solve the equation. Explain what your final answer means in context of the problem.
Answer:
2 lesson with a remainer of $30
Step-by-step explanation:
$15 + $30 = $45
$45 multipled by 3 would equal 135 witch is $15 over ,
but $45 multiplyed by 2 would equal $90 with a remainer of $30 (jason could buy some McDonlads with that money , lol)
Cathy's food usually costs $212.90 a week. One week, it cost $198.98. How
much less money did she spend that week?
Answer:
$13.92
Step-by-step explanation:
Please help with the problem in the picture ^ I’ll give brainliest if you give me a small explanation! :)
Answer: B
Step-by-step explanation: if 24 to 16 is 3:2 then because this is directly proportional it would be that x is 6:4
3x + 6y = 42 and -7x + 8y = -109 solve by elimination
Answer:
Point Form
(15,-1/2
Equation Form
x=15 and y= -1/2
Step-by-step explanation:
In a survey of 3,500 people who owned a certain type of car, 1,925 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car?
I need this by tonight so please help!
Answer:
55%
Step-by-step explanation:
to find percentage you divide the no of people who were satisfied by the car by the no of people who bought the car then multiply by a hundred
thus 1925÷3500×100
It is known that the variance of a population equals 1,936. A random sample of 121 has been taken from the population. There is a .95 probability that the sample mean will provide a margin of error of a. 7.84 b. 31.36 c. 344.96 d. 1,936
Answer:
It is known that the variance of a popualtion equals 1,936.
Step-by-step explanation:
That should be correct!!!
There is a 0.95 probability that the sample mean will provide a margin of error of 7.84.
What is mean by Probability?The term probability refers to the likelihood of an event occurring.
Given that;
The variance of a population = 1,936
And, A random sample of 121 has been taken from the population.
Now,
Since, Standard deviation = √ Variance
= √1,936
= 44
Hence, The standard error = 44 / √121
= 44 /11
= 4
We know that;
The critical z factor for a confident interval of 0.95 = ± 1.96
Thus, The sample mean will provide a margin of error = 4 × 1.96
= 7.84
Learn more about the probability visit:
https://brainly.com/question/13604758
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4+ (-1 2/3) what’s the answer
Answer:
2 1/3
Step-by-step explanation:
What does it mean when the x- coordinate or y-coordinate of a point is 0 ?
Answer:
The center of the coordinate system (where the lines intersect) is called the origin. The axes intersect when both x and y are zero. The coordinates of the origin are (0, 0). An ordered pair contains the coordinates of one point in the coordinate system.
Step-by-step explanation:
Answer: x, y coordinates are horizontal and vertical
Step-by-step explanation:
How many shelves did Andrew stock per hour?
Answer:
we dont have the info
Step-by-step explanation:
helppppp please I will give brainliest
Answer:
-3/4 ata di ako sure sa answer ko ha
If N(k) is the inverse of K(n) and N(12) = 4, then K(4) = 12
Answer:True
Step-by-step explanation:
2.2.PS-16
Challenge Schools A and B are competing in an academic contest. Correct answers earn 9 points.
Incorrect answers lose 2 points. In the final round, School A gives the same number of correct and
incorrect answers. School B gives no incorrect answers and the same number of correct answers as
School A. School A started the final round with 62 points. School B started with 24. The game ends
with the two schools tied. Let x represent the number of correct answers given by School A in the final
round. Write an equation that models the outcome of the contest. Then find the number of answers
that each school got correct in the final round.
Which equation models the scoring in the final round and the outcome of the contest?
OA. 9x + 2x - 62 = - 9x + 24
OB. 2x-9x + 62 = 9x + 24
OC. 9x - 2x - 62 = 9x + 24
OD. 9x - 2x + 62 = 9x + 24
Answer:
9x - 2x + 62 = 9x + 24
Number of correct answer each obtained = 19
Step-by-step explanation:
Given that:
Number of correct answers = x
POINTS for correct answers = 9
POINTS for incorrect answers = - 2
SCHOOL A:
Number of correct answers = x
Number of incorrect answers = x
Initial point = 62
Initial point + 9(number of correct answers) + - 2(number of incorrect answers)
62 + 9x - 2x
SCHOOL B :
Number of correct answers = x
Number of incorrect answers = 0
Initial point = 24
Initial point + 9(number of correct answers) + - 2(number of incorrect answers
24 + 9x
Since they end up tied :
School A = School B
62 + 9x - 2x = 24 + 9x
9x - 2x + 62 = 9x + 24
Number of correct answers gotten :
9x - 2x + 62 = 9x + 24
7x + 62 = 9x + 24
7x - 9x = 24 - 62
-2x = - 38
x = 19
Hence, Number of correct answers each obtained = 19
A bottle of juice that says it holds 2 cups only holds 1 cup 5 ounces. The bottle of juice holds how many ounces less than it should. This represents what percentage error
Answer:
A bottle of juice that says it holds 2 cups actually only holds 1 cup 5 ounces. The bottle of juice holds
3 ounces less than it should. This represents a 18.75 percent error.
Step-by-step explanation:
Paul opened a bakery. The net value of the bakery
(in thousands of dollars) t months after its creation is
modeled by
v(t) = 24
12t - 14
Paul wants to know what his bakery's lowest net
value will be
Rewrite the function in a different form
(factored or vertex) where the answer appears
as a number in the equation.
Answer: v(t)= 2(t-3)^2-32
-32 thousand dollars
Step-by-step explanation:
Did the quiz
Answer:
the first one is correct
Step-by-step explanation:
i Wnte 2x2x3x3x5 using exponents.
According to the U.S. Census Bureau, 20.2% of American women aged 25 years or older have a Bachelor's Degree; 16.5% of American women aged 25 years or older have never married; among American women aged 25 years or older who have never married, 22.8% have a Bachelor's Degree; and among American women aged 25 years or older who have a Bachelor's Degree, 18.6% have never married.
Required:
a. Are the events "have a Bachelor's Degree" and "never married" independent? Explain.
b. Suppose an American woman aged 25 years or older is randomly selected, what is the probability she has a Bachelor's Degree and has never married? Interpret this probability.
Answer:
(a) Not independent
(b) The probability the woman has a Bachelor's Degree and has never married is 0.046.
Step-by-step explanation:
Denote the events as follows:
X = American women aged 25 years or older have a Bachelor's Degree
Y = American women aged 25 years or older have never married
The information provided is as follows:
P (X) = 0.202
P (Y) = 0.165
P (X | Y) = 0.228
P (Y | X) = 0.186
(a)
If two events, say A and B are independent then,
P (A|B) = P (A) and P (B|A) = P (B)
Since,
P (X | Y) ≠ P (X)
P (Y | X) ≠ P (Y)
The events "have a Bachelor's Degree" and "never married" are not independent.
(b)
Compute the probability the woman has a Bachelor's Degree and has never married as follows:
[tex]P(X\cap Y)=P(X|Y)\times P(X)\\\\=0.228\times 0.202\\\\=0.046056\\\\\approx 0.046[/tex]
Thus, the probability the woman has a Bachelor's Degree and has never married is 0.046.
The equation y = 5.5x represents a proportional relationship. What is the constant of proportionality?
Answer:
Y = 5.5x
The constant is 5.5
since no matter what y and x are there will always be a 5.5 difference
Also mark brainliest please
The required constant of proportionality is 5.5 in the given expression.
Given that,
The equation y = 5.5x represents a proportional relationship. What is the constant of proportionality is to be determined.
proportionality is defined as between two or more sets of values, and how these values are related to each other in the sense are they directly proportional or inversely proportional to each other.
Here,
The given proportion equation is,?
y = 5.5x
Where y is the dependent variable and x is the independent variable,
And 5.5 is contant.
Thus, the required constant of proportionality is 5.5 in the given expression.
Learn more about proportionality here: https://brainly.com/question/22620356
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Linear functions is y = x - 7 a linear function?
Answer:
Linear Function
Step-by-step explanation:
there are an infinite number of ordered pairs of x and y that satisfy the equation.
Ken prepared 12 kilograms of dough after working 2 hours. How many hours did Ken work if he prepared 36 kilograms of dough? Assume the relationship is directly proportional.
Answer:
36 Kilograms of Dough in 6 hours
Step-by-step explanation:
Each hour Ken prepares 6 kilograms of dough, and every 2 hours Ken prepare 12 kilograms of dough.
The two boxes shown are cuboids.
20 cm
4 cm
30 cm
3 cm
50 cm
10 cm
Work out how many of the smaller boxes you would need
to completely fill the larger one.
Answer:
250.
The area of the larger box is 30,000 cm squared. Once you find the total area of the small box, divide that by the area of the larger box and you have your answer.
Answer:
205
Step-by-step explanation: