Answer:
y = 1/2x-3
Step-by-step explanation:
The line intercepts the y-axis at -3, so that is your y-intercept. To find the slope, count how many units it takes to get from the y-intercept to the second point. in this case, that would be up 3, right 6. So the slope, m, is 1/2.
Answer:
y=1/2x-3
Step-by-step explanation:
the rise is 1 and the run is 2, and the y is -3 because the line crosses over -3 in the y axis.
How do you put (x-2) (x+2) in standard form?
Answer:
\(x^{2}\)−4
Step-by-step explanation:
Yesterday,the temperature at noon was 10.8degreesF. By midnight, the temperature has decreased by 12.3 degrees. What was the temperature at midnight?
Answer:
-1.5
Step-by-step explanation:
Mark is y years old. In five years' time, Jack will be twice as old as Mark and Daniel will be 2 years younger than Jack is now. Write an expression in y for the sum of their 3 ages now.
Answer:
5y + 3 is the sum of the three ages
Step-by-step explanation:
Let y=Mark, d=Daniel j=Jack, and s=The sum
Mark is y years old. In five years jack will be twice as old as Mark
j + 5 = 2(y+5)
j + 5 = 2y + 10
j = 2y + 10 - 5
j = 2y + 5
Daniel will be two years younger than jack is now
d + 5 = j - 2
d = j - 2 - 5
d = j - 7
Replace j with (2y+5)
d = (2y+5) - 7
d = 2y - 2
Expression in terms of y for the sum of the 3 ages now
s = y + j + d
replace j and d with expressions we came up with above
s = y + (2y+5) + (2y-2)
s = y + 4y + 3
s = 5y + 3 is the sum of the three ages
cost to store=$160 markup= 25%
The original cost of the item, given the cost to the store and the markup, can be found to be $ 200
How to find the original cost ?Given that the cost to the store is $ 160 and they would charge a 25 % markup on this cost, the original cost can be denoted as x and the formula would be:
x = Cost to store x ( 1 + markup percentage )
The original cost to the customer would then be:
= 160 x ( 1 + 25 %)
= 160 x 1 .25
= $ 200
The original cost charged by the store to the customer is $ 200.
Find out more on markup at https://brainly.com/question/1153322
#SPJ1
The question is:
Find the original cost that the store will charge to the customer. cost to store=$160 markup= 25%
I need to find x and GH
Answer:
x = 1
Step-by-step explanation:
5x + 1 = 9x - 3
5x - 9x + 1 + 3 = 0
-4x + 4 = 0
-4( x - 1 ) = 0
x - 1 = 0
x = 1
In a small city in New England there are 1500 people. As we all know, there are four different phenotypes associated with blood types A, B, AB and O. In this population there are 438 individuals with A, 350 people with blood type B, 95 people with blood type AB and 617 people with blood type O. What is the sample space for blood type in this population
Answer:
\(S = \{A, B, AB, O\}\)
Step-by-step explanation:
Given
Blood groups: A, B, AB and O
\(n = 1500\)
\(A = 438\)
\(B = 350\)
\(AB = 95\)
\(O = 617\)
Required
The sample space for blood type
To determine the sample space, we will consider the blood groups being sampled
So, the sample space is:
\(S = \{A, B, AB, O\}\)
And the sample size is:
\(Size = n(S)\)
\(Size = 4\)
Step-by-step explanation:
Blood groups: A, B, AB and O
n = 1500n=1500
A = 438A=438
B = 350B=350
AB = 95AB=95
O = 617O=617
Required
The sample space for blood type
To determine the sample space, we will consider the blood groups being sampled
So, the sample space is:
S = \{A, B, AB, O\}S={A,B,AB,O}
And the sample size is:
Size = n(S)Size=n(S)
Size = 4Size=4
wn measures (Example 1)
B 8 in.
2.
85%
12 in.
A 35°
14 in.
60°
C
Z
42 in.
t
S
Y
36 in.
Answer:
The answer is A
Step-by-step explanation:
took the test.
find the 9th term of the geometric sequence. 12,36,108,...
The 9th term of the given sequence is 78732.
The given sequence is 12, 36, 108... is a geometric sequence with a common ratio of 3.To find the 9th term of the given sequence, we will use the formula for the nth term of a geometric sequence, which is given by:
aₙ = a₁rⁿ⁻¹
Here, a₁ = 12 and r = 3.
Therefore, the formula for the nth term becomes:
aₙ = 12(3)ⁿ⁻¹
Now, we need to find the 9th term of the sequence. Hence, n = 9. Substituting the values of a₁ and r, and n in the formula, we get:
a₉ = 12(3)⁹⁻¹= 12(3)⁸= 12(6561)= 78732
For more question sequence
https://brainly.com/question/29017364?source=archive
#SPJ8
According to the line plot how many apples weigh 5/8 of a pound
Answer:
Answer:4 apples weigh 5/8 pound.
Step-by-step explanation:
Answer:
2(−5) − 10 = 2(0)
Step-by-step explanation:
If you substitute the values x = 0 and y = −5 into the second equation, you get a false statement
The local news is conducting a poll of the residents’ opinions regarding a new traffic law that is being proposed. At the end of a news segment, viewers had the opportunity to dial in or use social media to choose whether they agree or disagree with the law. A large sample size was represented, and this poll was repeated again one week later with similar results. When working with this data, which of the following statements best applies?
a. The surveys are biased because people chose to respond or not.
b. Because of the large sample size, the results are most accurate of all members of the community.
c. The same sampling methods were used for both polls, demonstrating reliability.
Answer:
Option A is correct.
The surveys are biased because people chose to respond or not.
Step-by-step explanation:
When humans are given the choice whether to participate in a poll like in this question, most often than not, the poll is biased.
This is because only the people or set of people who feel strongly the most about the subject matter of the poll will participate in the poll. This favours the group that disagrees as this group, if given the choice to express their opinion, will most likely be the set of people that will readily express their discontent.
Discontent is more visibly and strongly expressed in humans.
In order to remove this bias, people should have been chosen at random and their responses recorded.
The two other options are not absolutely correct, these are the reasons.
b. Because of the large sample size, the results are most accurate of all members of the community.
Like I expressed above, the base of the sample is flawed and biased as it will most likely favour a group of the population that don't agree with the law. So, no matter how large the sample is, that type of bias makes the poll unreliable.
c. The same sampling methods were used for both polls, demonstrating reliability.
The sampling method is biased, so, it doesn't matter if it is repeated for both polls. it most likely will not represent the correct general consensus about the new traffic law.
Hope this Helps!!!
Solve for x. Type the number only.
The value of angle x in the triangle is 5
How to determine the value of x?The given parameter is represented by the figure
By the external opposite angle of a triangle theorem, we have the following equation
22x + 3 = 6x + 4 + 79
Collect the like terms
So, we have
22x - 6x = 4 + 79 - 3
Evaluate the like terms
So, we have
16x = 80
Divide both sides by 16
So, we have
x = 5
Hence, the value of angle x in the triangle is 5
Read more about angles at
https://brainly.com/question/7620723
#SPJ1
A temperature of F degrees Fahrenheit is the same as 5/9(f-32) degrees Celsius. According to weather records, the highest recorded temperature in the state of Ohio is 113 degrees Fahrenheit. What is the record high temperature in degrees Celsius
Answer:
45 degrees Celsius
Step-by-step explanation:
ty86422Vertex:(5, 3)46(6,5)8XFinish the steps below to write a quadratic function forthe parabola shown.1. Use the vertex form, f(x) = a(x − h)² + k, andsubstitute in the values for h and k.f(x)= a(x-5)²+32. Use another point and substitute in valuesfor x and f(x). Solve for a.5= a(6-5)²+33. Write the function, using the values for h, k, and a.The function is f(x) =
We need to finish the steps:
In step 2, we need to find the value of a:
\(5=a(6-5)^2+3\)Solve for a:
5=a(1)²+3
5=a+3
Subtract both sides 3:
5-3=a+3-3
2=a
Now, for step 3, we need to write the function using the values of h,k, and a:
\(f(x)=a(x-h)^2+k\)Where h=5, k=3, and a =2
Replacing, the answer is:
\(f(x)=2(x-5)^2+3\)y varies directly as x. If y = 170 when x = 17, find
y when x = 18.
A) y = 100
B) y = 180
C) y = 289
D) y = 324
Jordan is putting new tile on the bathroom floor. The width of the floor is 4 2/4 feet and the length
is 6 3/4 feet.
Part A:
What is the area of the bathroom floor?
Part B:Each box of tiles has enough tiles to cover 5 ft.² how many boxes of tiles will Jordan need?
a) The area of the rectangular shaped bathroom floor is A = 30.375 feet²
b) The number of boxes of tiles = 25 boxes
Given data ,
Jordan is putting new tile on the bathroom floor. The width of the floor is 4 2/4 feet and the length is 6 3/4 feet
Now , Area of Rectangle = Length x Width
On simplifying , we get
Width = 4 2/4 feet = (4 x 4 + 2)/4 = 18/4 feet
Length = 6 3/4 feet = (6 x 4 + 3)/4 = 27/4 feet
Area = (18/4) x (27/4) = (18 x 27)/(4 x 4) = 30.375 feet²
Therefore , the area of bathroom floor is A = 30.375 feet²
Now , the number of boxes is given by
Number of boxes of tiles = Total area of bathroom floor / Area covered by each box of tiles
B = 30.375 / 5
B = 6.075
B = 6 tiles
Hence , the area of bathroom floor is A = 30.375 feet²
To learn more about area of rectangle click :
https://brainly.com/question/15225905
#SPJ1
CAN SOMEONE PLEASE HELP me with the correct answer!!!!! I need this done please help like please
What is the volume of this rectangular prism? All dimensions are in centimeters.5 4 2
Answer:
5 * 4 * 2 = 40 cubic centimeters
Step-by-step explanation:
Diet cola was on sale last week; it cost $10 for every 4 liters of diet cola. At this rate, how many liters can you buy with $15?
Answer:
6 liters of diet cola.
Step-by-step explanation:
In order to find the answer to this question you have to find the price per liter of diet cola.
To do this you will have to take $10 and divide it by 4.
10/4 = 2.5
Each liter costs $2.50.
Next, to get the number of liters you can buy, you will take $15 and divide it by $2.50.
15/2.50 = 6
Therefore, the number of liters of diet cola you can buy for $15 is 6.
I hope this helps!!
- Kay :)
PLZ HELP ME WILL MARK BRAINLIST AND 50 points IF THE ANSWER IS CORRECT!!!
Answer for the question:
It is B.
Is(x+6)>8 is equation (with variable) give reason for your answer
Answer:
it's a non equation if x=2 is given then we get a proper line of the equation bur x is greater than 2 the we find a region that go far from origin
1. Two spherical solids have masses of 15g and 405kg respectively. If the radius of the smaller sphere is 10cm. Find the radius of the bigger sphere.
2. Triangle PQR is such that the angle P=90° and PQ=37cm. Find RP when angle Q=16° degrees (Use tan 46°=1.04).
The radius of the bigger sphere is 30cm.
Two spherical solids have masses of 15g and 405kg respectively
Mass is directly proportional to volume for same metal (Density)
Let Mass of Solid 1 be M₁ and Volume be V₁
Mass of Solid 2 be M₂ and Volume be V₂
Now M₁/M₂ = V₁/V₂
Volume of sphere is directly proportional to R³
So, M₁/M₂ = V₁/V₂ = R₁³/R₂³
15/405000 = 10³/x³
∛15/∛405000 = 10/x
2.466/73.986 = 10/x
2.466x = 73.986 x 10
x = 739.86/2.466
x = 30
Therefore, the radius of the bigger sphere is 30cm.
To learn more about volume refer here
https://brainly.com/question/10171109
#SPJ9
The following statement is from the contract Peter signed with his Homeowner's Association (HOA).
"Overnight parking on community streets is prohibited. For the purpose of this contract, 'overnight' will be defined as the hours between 11:00 p.m. and 4:00 a.m. The HOA will monitor overnight parking not less than once every calendar week with nightly patrols by community security.
"In the event a car is found parked on community streets overnight and that ownership of the offending car can accurately be verified as a community homeowner, the homeowner will receive one (1) written warning asking him or her to correct the situation. A second and third infraction by the same homeowner, whether or not it is with the same car, will result in a monetary fine as permitted by CC&R guidelines and HOA bylaws. Further infractions (past 3) will result in monetary fines in addition to the towing of the car at the homeowner's expense."
Because of the extremely low ground effects and body profile on his racing car, Peter is unable to drive his car off of the street and onto the driveway. He has parked on the street overnight for the past five weeks. He has received one written warning and one monetary fine from the HOA. What consequences should Peter expect after this week's security check?
a.
His car will be towed.
b.
He will receive another monetary fine.
c.
He will receive a monetary fine and his car will be towed.
d.
A "boot" will be place on his car to prevent him from driving it.
what is the value of the expression -x + y when x =2.1 and y = -11.8
Answer:
-9.7
Step-by-step explanation:
Given
x + y when x =2.1 and y = -11.8
Solution
x+y
substitute x=2.1 and y=-11.8
2.1+(-11.8)
2.1 - 11.8 = -9.7
The final answer is -9.7
Please answer this question correctly
A 2-yard piece of ribbon costs $22.32. What is the price per inch?
You have to divide
Let be independent random variables with the common distribution function F and suppose they are independent of a geometric random variable with parameter p. Let M = max(x1,....,xN) (a) Find P{M<} by conditioning on N (b) Find P(M1} (d) Use (b) and (c) to rederive the probability you found in (a).
suppose they are independent of a geometric random variable with parameter p. Let M = max(x1,....,xN) (a) Find P{M<} by conditioning on N is nλe^(-nλx)
Given fx (x) = λe^λx
Fx (x) = 1 – e^-λx x…0
To find distribution of Min (X1,….Xn)
By applying the equation
fx1 (x) = [n! / (n – j)! (j – 1)!][F(x)]^j-1[1-F(x)]^n-j f(x)
For minimum j = 1
[Min (X1,…Xn)] = [n!/(n-1)!0!][F(x)]^0[1-(1-e^-λx)]^n-1λe^-λx
= ne^[(n-1) λx] λe^(λx)
= nλe^(-λx[1+n-1])
= nλe^(-nλx)
learn more about of variable here
https://brainly.com/question/6472483
#SPJ4
Who knows the answer for this problem
- Each friend has 10 nails to paint
- There are 8 friends
- Jackie finished painting 4 friend's nails
If there are 8 friends, and each friend has 10 nails to paint, then there are 80 nails that need to be painted in total.
Jackie finished painting 40 nails.
So the math sentence will be:
80 - 40 = 40
--------------------------------------------------
Jackie needs to paint 40 more nails.
Fill in the Venn Diagram and Answer the Questions.
The Venn Diagram is shown at the end of the answer.
Then the amounts are given as follows:
History or did not take dance: 1769.History or math, but not dance: 917.Dance and Math, but not history: 343.History, Dance or Math: 2153.None: 248.How to fill the Venn Diagram?The Venn Diagram is filled starting at the intervals involving most variables, that is, the intersections.
286 students took all three courses, hence:
V = 286.
629 students were taking history and dance, hence:
VI + V = 629
VI + 286 = 629
VI = 343.
605 students took history and math, hence:
IV + V = 605
IV = 605 - 286
IV = 319.
604 students took dance and math, hence:
II + V = 604
II = 318.
1236 students took dance, hence:
III + II + VI + V = 1236
III + 318 + 343 + 286 = 1236
III = 1236 - (318 + 343 + 286)
III = 289
1295 students took math, hence:
VIII + IV + V + VI = 1295
VIII + 319 + 286 + 343 = 1295
VIII = 1295 - (319 + 286 + 343)
VII = 347
1174 students took history, hence:
I + II + IV + V = 1174
I + 318 + 319 + 286 = 1174
I = 1174 - (318 + 319 + 286)
I = 251
Then the number of students who took at least one of the subjects is of:
251 + 318 + 289 + 319 + 286 + 343 + 347 = 2153.
The number of students who took none of the subjects is of:
2401 - 2153 = 248.
(VIII = 248 on the diagram).
The remaining amounts are then calculated as follows:
History or did not take dance: 1174(history) + 347(math) + 248(none) = 1769.History or math, but not dance: I + IV + VII = 251 + 319 + 347 = 917.Dance and Math, but not history: VI = 343.More can be learned about Venn Diagrams at brainly.com/question/24713052
#SPJ1
suppose that the functions f and g are defined as follows. f(x) = x-3, g(x) = 8/x. Find G/F. then, give its domain using an interval or Union of intervals. simplify your answers.
In interval notation,
The domain is;
\(\begin{gathered} (-\infty,0) \\ (0,3) \\ (3,\infty) \end{gathered}\)I need help on fractions and decimal world problems
PLEASE HELP QUICK I NEED IT TO PASS
Answer:
Its 81
Step-by-step explanation: