Answer: 400 520<15x+400x 15x+400>520
Step-by-step explanation:
Which equation represents a line that passes through (2,-) and has a slope of 3?
Oy - 2 = 3(x+2)
Oy - 3 = 2(x+1)
Oy+==3(x-2)
Oy + = = 2(x − 3)
Save and Exit
Answer:
y + 1/2 = 3(x - 2)
Step-by-step explanation:
We have to think about this question in point-slope form, which is a form that explicitly gives us the slope of the line and a single point that it passes through. Point-slope form looks like this: y - y1 = m(x - x1), where m is the slope and (x1,y1) is a point that the line goes through. We are given that the line goes through (2, -1/2) which means x1 = 2 and y1 = (-1/2). We are also given that the slope is 3. We can plug these quantities into the equation to solve:
y - (-1/2) = 3(x - 2) OR y + 1/2 = 3(x - 2)
The equation of the line is y + 1/2 = 3(x - 2).
The correct option is (3).
What is slope?The slope of a line indicates its direction and steepness. Finding the slope of lines in a coordinate plane can help predict whether the lines are parallel, perpendicular, or have no relationship at all without actually using a compass.
As per the given data:
We have to find out the equation of the line that passes through (2, -1/2) and has a slope of 3.
As we know a point at the slope of the line, we can use the point slope form:
[tex]y - y_1 = m(x-x_1)[/tex] , where m is the slope and [tex](x_1, y_1)[/tex] is the point through which the line passes.
y - (-1/2) = 3(x - 2)
y + 1/2 = 3(x - 2)
The equation of the line is y + 1/2 = 3(x - 2).
Hence, The equation of the line is y + 1/2 = 3(x - 2).
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i would like to have an answer for this thanks!
The final amount of the compound interest after 6 years would be $ 294, 122, 500
How to determine the final amount
The formula for the final amount is given as;
[tex]A = P( 1 + \frac{r}{n}) ^n^t[/tex]
Where
A = final amount
P = principal interest
r = interest rate
n = number of times
t = time of periods
We have,
A = [tex]2500[/tex] [tex]( 1 + \frac{6}{1}) ^1^*^6[/tex]
A = [tex]2500 ( 7)^6[/tex]
A = [tex]2500[/tex] × [tex]117, 649[/tex]
A =$ [tex]294, 122, 500[/tex]
Thus, the final amount of the compound interest after 6 years would be $ 294, 122, 500
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help i have only 5 min
Answer:
375
Step-by-step explanation:
Since they started at the same point and went in opposite directions, add the 2 distances.
162.5 + 212.5 = 375
Which of the following are geometric sequences? This homework assignment is confusing.
United and city are playing each other in the final. it has been calculated that the probability of united winning is three fifths. what is the probability of united not winning?
The probability of not winning of united is [tex]\frac{2}{5}[/tex] .
What is probability?The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.
Given that the probability of winning of united is [tex]P(A)=\frac{3}{5}[/tex] .
Usually, we take the total probability is 1
So, the probability of not winning of united is [tex]1-\frac{3}{5}[/tex]
[tex]=\frac{5-3}{5}\\=\frac{2}{5}[/tex]
Therefore, the probability of not winning of united is [tex]\frac{2}{5}[/tex] .
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Find the unknown angle x in each of the following figures.
a. x = 120°
b. x = 88°
c. x = 146°
Determining the value of x
A. We have that x and angle 80° as shown in the diagram is on a straight
Angles on a straight line = 180°
Then,
x + 80° = 180°
Make 'x' subject
x = 180° - 80°
x = 100°
B. From the diagram, we can see that 'x' at ∠BCD is alternate to ∠EDC which is 88°
It is important to note that alternate angles are equal
Then,
x = 88°
C. From the diagram, we can see that 'x' at CDE is on a straight line with ABC
Angles on a straight line are equal
Then,
x + 34° = 180°
Make 'x' subject of formula
x = 180° - 34°
x = 146°
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Which of the following expressions are equivalent to -0.5(1.7+1.7)−0.5(1.7+1.7)minus, 0, point, 5, left parenthesis, 1, point, 7, plus, 1, point, 7, right parenthesis? Choose all answers that apply: Choose all answers that apply: (Choice A) A -0.5\cdot1.7-0.5\cdot 1.7−0.5⋅1.7−0.5⋅1.7minus, 0, point, 5, dot, 1, point, 7, minus, 0, point, 5, dot, 1, point, 7 (Choice B) B 2(-0.5)(1.7)2(−0.5)(1.7)2, left parenthesis, minus, 0, point, 5, right parenthesis, left parenthesis, 1, point, 7, right parenthesis (Choice C) C None of the above
The expressions equivalent to -0.5(1.7+1.7) are -0.5(1.7) - 0.5(1.7)
and 2(-0.5(1.7))
Distributive law of expansionGiven the expression below;
-0.5 (1.7 + 1.7)
According to the distributive law;
A(B+C) = AB + AC
Expand
-0.5(1.7) + (-0.5)(1.7)
-0.5(1.7) - 0.5(1.7)
2(-0.5(1.7))
Hence the expressions equivalent to -0.5(1.7+1.7) are -0.5(1.7) - 0.5(1.7)
and 2(-0.5(1.7))
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An open-top rectangular box with square base is to be made from 100 square feet of material, as shown.
What is the largest possible volume of the box?
The largest possible volume of the box is x²y
How to determine the volumeIt is important to note that the given figure is a rectangle
Area of the box is given as 100 square feet
Formula for volume of a rectangle
Volume = length × width × height
Length = x
Width = x
Height = y
Substitute the values in the formula
We have;
Volume = x × x × y
Volume = x²y
Thus, the largest possible volume of the box is x²y
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5
Select the correct answer.
Which expression is equivalent to the given expression? Assume the denominator does not equal zero.
4m5n2
m²n
OA 64m9n3
OB. 64m135
OC. 12m6n4
OD. 12m21n9
Answer:
OC
Step-by-step explanation:
4×3=12m
5+1=6n
4÷1=4
A survey was conducted among 1000 people. Of these 595 are Democrats, 595 wear glasses and 550 like ice-cream; 395 of them are Democrats who wear glasses, 350 of them are Democrats who like ice-cream, 400 of them wear glasses and like ice-cream, 250 of them are Democrats who wear glasses and like ice-cream. How many of them are not Democrats, do not wear glasses, and do not like ice-cream? How many of them are Democrats, who do not wear glasses, and do not like ice-cream?
The number of people who are not Democrats , do not wear glasses, and don not like ice-cream by using sets are 155 people and the number of people who are democrats, not wearing glasses and do not like ice cream are 150 people.
Given total people of 1000 people, 595 democrats, 595 wearing glasses, 550 like ice cream, 395 of them are democrats who wear glasses,350 of them are democrats who like ice cream and 400 of them wear glasses as well as like ice cream ,250 of them are democrats as well as wear glasses and like ice cream.
We have to find the number of people who are not democrats , do not wear glasses ,do not like ice cream and the number of people who do not wear glasses and do not like ice cream.
let X shows the number of democrats and G be number of people who wear glasses and I be the number of people like ice cream.
So,
D=595, G=595 AND I=550
Now D∩G=395
D∩I=350
G∩I=400
so D∩G∩I=250
Formula will be :
D∪G∪I=D+G+I-(D∩G)-(G∩I)-(D∩G)+(D∩G∩I)
=595+595+550-(395+350+400)+250
=845
845 are either democrats or wear glasses as well as like ice cream.
So 1000-845=155
Number of people who are democrats, do not wear glasses and do not like ice cream=D-(D∩G)-(D∩I)+(D∩G∩I)
=595-(395+300)+250
=845-695
=150 people.
Hence the number of people who are not Democrats , do not wear glasses, and don not like ice-cream are 155 people and the number of people who are democrats, not wearing glasses and do not like ice cream are 150 people.
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The assistant manager of a surf shop estimates that 65% of customers will make a purchase.
Part A: How many customers should a salesperson expect until he finds a customer that makes a purchase?
Part B: What is the probability that a salesperson helps 3 customers until he finds the first person to make a purchase?
Using the binomial distribution, we have that:
A. The salesperson should expect 1.54 customers until he finds a customer that makes a purchase.
B. There is a 0.0279 = 2.79% probability that a salesperson helps 3 customers until he finds the first person to make a purchase.
What is the binomial distribution formula?The formula is:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.The expected number of trials until q successes are found is:
[tex]E(X) = \frac{q}{p}[/tex]
In this problem, the probability of a success is of p = 0.65, hence:
[tex]E(X) = \frac{1}{0.65} = 1.54[/tex]
The salesperson should expect 1.54 customers until he finds a customer that makes a purchase.
The probability is p = 0.65 multiplied by P(X = 0) when n = 3, hence:
0.65 x (0.35)³ = 0.0279.
There is a 0.0279 = 2.79% probability that a salesperson helps 3 customers until he finds the first person to make a purchase.
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A group of computer engineers secured a loan to fund a new startup in Silicon Valley. The bank gives them a loan in the amount of 1.8one point eight million dollars. The engineers estimate that their business will be able to make a profit of approximately $0.6zero point six million per year. They keep track of their debts, profits, and overall financial status on a balance sheet. They enter the debt as a negative value and all profits as positive values.
Define a unit for the amount of time since the company began. Enter a variable for the amount of time since the company began and use this variable to write an expression for the expected financial status.
What was the financial status of the company when it began?
If the estimates were correct, how many years was it before the financial status of the company was 11.4eleven point four million dollars?
After completing the worksheet, graph your model.
It will take the company 20.3 years to have a financial worth of $11.4
The unit of the amount of timeThe estimate of profit is given as;
Profit = $0.6 million per year
This means that the engineers based their estimate per year
Hence, the unit of time is year
The variable of the amount of time
To do this, we make use of any variable of our choice.
In this case, we let x represents the variable of the amount of time.
Expression for the expected financial statusIn (a), we have:
Profit = $0.6 million per year
So, the expected financial status is 0.6x
The financial status of the company when it beganThis is the amount taken as loan by the engineers.
So, the financial status at the beginning is 1.8
Years to attain the financial status of $11.4 million?Using the expressions above, we have the yearly worth to be:
y = 0.6x - 1.8
When the financial status is $11.4 million, we have:
0.6x - 1.8 = 11.4
Evaluate the like terms
0.6x = 12.2
Divide both sides by 0.6
x = 20.3
Hence, it will take the company 20.3 years to have a financial worth of $11.4
The graph of the modelSee attachment for the graph of y = 0.6x - 1.8
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Use synthetic division to find the expression for the area of the base of a rectangular prism with height x 4 and volume x3 2x2 – 17x – 36.
Hence, the area of base is [tex]x^2 - 2x - 9[/tex]
What is division?Division in maths is breaking a number into equal parts and finding out how many equal parts can be made.
How to solve?The volume of a rectangular prism is,
Volume = Area x Height
Substituting the given expressions,
[tex]x^3 + 2x^2 - 17x - 36 = Area x (x + 4)[/tex]
Area = [tex](x^3 + 2x^2 - 17x - 36) / (x + 4)[/tex]
Now, let's use synthetic division,
-4 | 1 2 -17 -36
---- __-4___8___36
1 -2 -9 0
The expression for the area is [tex]x^2 - 2x - 9[/tex]
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I need the answer please. solve for b
The Pythagorean theorem is [tex]a^2+b^2=c^2[/tex], where a and b are two legs of a right triangle and c is the hypotenuse (the longest side).
Solving the QuestionWe're given a triangle with the following:
One of the legs measure 2 unitsThe other leg measures b unitsThe hypotenuse is 6 units longWe can plug these values into the Pythagorean theorem as a, b and c:
[tex]a^2+b^2=c^2\\2^2+b^2=6^2[/tex]
Now, isolate b:
[tex]b^2=6^2-2^2\\b=\sqrt{6^2-2^2}\\b=\sqrt{36-4}\\b=\sqrt{32}[/tex]
Answer[tex]b=\sqrt{32}[/tex]
Helpp plleeaaseee!!!!!!
Answer:
Step-by-step explanation:
255 people
The length of the boundary of a polygon is called its perimeter.
The lengths of the sides of the figure above are given in metres. What is y if the perimeter of this figure is 27 m?
The value of y if the perimeter of the figure is 5y is 15meters.
How to find the perimeter of a polygon?The perimeter of a polygon is the sum of the length of the whole sides.
Therefore,
perimeter = y + 2y + 30
perimeter = 5y
Hence,
5y = 3y + 30
5y - 3y = 30
2y = 30
divide both sides by 2
2y / 2 = 30 / 2
y = 15
Therefore, the value of y is 15m.
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Which expression is equivalent to [tex]\sqrt{100}[/tex]
10
10²
50
50²
[tex]\huge\boxed{10}[/tex]
[tex]\sqrt{100}[/tex] means that you are looking for the number that, when multiplied by itself, produces [tex]100[/tex]. That number is [tex]10[/tex], because [tex]10\cdot10=100[/tex], meaning that [tex]\sqrt{100}=10[/tex].
Given the circle below, find QR.
Answer:
QR=17
Step-by-step explanation:
[tex](12)(x-2)=(3)(3x-1)\\12x-24=9x-3\\3x-24=-3\\3x=21\\x=7[/tex]
[tex]x=7\\\\QR=12+x-2\\=12+(7)-2\\QR=17[/tex]
A store sells 7 different types of envelopes and 6 different types of postage stamps. How many different combinations are tehre to buy an envelope and stamp?
You can by 42 combinations of items from the store
How to determine the number of combination?The given parameters are:
Envelop = 7
Stamp = 6
The number of combination is:
Combination = Envelop * Stamp
So, we have:
Combination = 7 * 6
Evaluate
Combination = 42
Hence, you can by 42 combinations of items from the store
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Area=
Help please!! Asap thank u so much
The area of the shaded region in the task content is; 251.2.
What is the area of the shaded region in the task content?It follows from the task content that the area of the shaded region is;
= Area of semicircle IL - Area of semicircle JK + Area of semicircle IJ + Area of semicircle KL.
Hence, since the radius of each semicircle are as follows;
R(IL) = 12
R(IJ) = R(JK) = R(KL) = 4.
Hence, the Area of the shaded region can be evaluated as;
= (π/2)(12² - 4² + 4² +4²).
= π (144 +16)
= (3.14/2) × 160 = 251.2
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help pls correct answer will ger brainliest
Answer:
See Below
Step-by-step explanation:
Since they are lines, and if two lines have angles that are congruent, then it has to be perpendicular. Angles sum up to 180, and since they are equal, it is 90.
How do u find the fraction result of this equation,
Im confused
At step 2, we arrive at
(2x + 3) (x + 3) = 0
and the next step (which isn't actually shown) is to use the so-called zero-product property that says if [tex]ab=0[/tex], then [tex]a=0[/tex] or [tex]b=0[/tex]. This means
2x + 3 = 0 or x + 3 = 0
and solving the first equation leads to the rational solution.
2x + 3 = 0
2x = -3
x = -3/2
what is y= (x+2) ^2 vertex, axis of symmetry, direction of opening, max or min and y intercept
Answer:
Vertex: (-2, 0)
Axis of symmetry: x = -2
Direction of opening: Upwards
Min: 0
Y-intercept: 4
Step-by-step explanation:
Let us graph this line, and then pull out the details we need. See attached.
What do all of these different things mean?
Vertex: This is where the graph intercepts the axis of symmetry (x = -2, see below) and is at point (-2, 0) for this graph.
Axis of Symmetry: This is the line that the graph is symmetrical across. The "center" of the graph. Here, it is x = -2.
Direction of Opening: The direction that the graph is going/opening towards. In this case, it is upwards.
Min: The minimum (in this case) value, the lowest y-coordinate. This is 0 here.
Y-intercept: The point at which the line intercepts the y-axis. This is 4 here.
You have discovered the person giving you a ride home has been drinking. Use the GREAT decision making model to complete the R and E step. Think of at least 3 options and evaluate the pros and cons for each of your options
Option1:
list a pro and con for option 1
Option 2:
list a pro and con for option 2
Option 3:
list a pro and con for option 3
Using the GREAT decision-making model, one could consider telling the driver not to drive after drink, getting out of the car and looking for another, or riding in the same car while ignoring the situation.
What options do we have in this situation?The options we have in this situation are:
Complain to the driver and tell him not to drive after drink.Get out of the car and look for another.Go in the same car ignoring the situation.What are the pros and cons of these options?Option 1:
Pro: The driver can understand my concern and go to his house to avoid an accident.Con: The driver doesn't understand my concern, he gets angry and we start arguing.Option 2:
Pro: I'm going to be safe in another car.Con: While I wait for another car they can rob me.Option 3:
Pro: I'm going to get home.Con: It is an irresponsible action that puts the lives of several people at risk.Learn more about GREAT decision making model in: https://brainly.com/question/18066206
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What is the solution to the equation 3√x+4+3/2x+8 = 0?
Ox=-12
Ox= -4
x = 4
O x = 12
Answer:
-4
Step-by-step explanation:
A survey revealed that 36% of people are entertained by reading books, 32% are entertained by watching TV, and 13% are entertained by both books and TV. What is the probability that a person will be entertained by either books or TV
The probability that a person will be entertained by either books or TV is 0.55
What is the required probability?Express the given percentages as probabilities.
Let the probability of people being entertained by books be represented as
P(A)=0.36
Probability of people entertained by watching TV,
P(B)=0.32
Probability of people entertained by both books and TV,
P(A∩B)=0.13
P(A) + P(B) - P(A and B) is the formula for calculating the either/or probability for overlapping events. This formula is identical to the non-overlapping events, but we need to take the likelihood that the outcomes could occur simultaneously into account.
Thus, the probability of people being entertained by either books or TV is,
P(AUB)=P(A)+P(B)-P(A∩B)
=0.36+0.32-0.13
=0.68-0.13
=0.55
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Roger’s brother gave Roger his collection of coins when he left for college. At that time, the value of the collection was $720. Twelve years later, the collection was worth $1080. What is the rate of change? Don't forget your units.
Answer:
A: The rate of change is 10% per year.
Step-by-step explanation:
The rate of change is simply the change in value divided by the change in time. In this case, the change in value is $1080 - $720 = $360, and the change in time is 12 years. Therefore, the rate of change is $360 / 12 years = $30 per year.
To be able to buy a new computer, kaitlin decides to save for 4 years. she opens a savings account with $500. the account pays simple interest at an annual rate of 2%. she doesn't make any more deposits. how much total interest will kaitlin earn?
The total interest for 4 years with a principal amount of $500 and a rate of 2% is $40.
What is the formula for simple interest?The formula for the simple interest is,
I = PTR
where
I is the interest, P is the principal amount, T is the period, and R is the rate of interest.
Calculation:The given data is,
Kaitlin wants to save $500 in her savings account. I.e., P = $500
For 4 years i.e., T = 4 years and the rate R = 2% i.e., R = 0.02
Then,
the total interest for 4 years with no more deposits is
I = PTR
= $500 × 4 × 0.02
= $40
Therefore, the total interest that Kaitlin will earn for 4 years is $40.
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HELP ASAP
Given: ABCD is a parallelogram.
Prove: A is congruent to FCE.
Answer:
Step-by-step explanation:
Hi!
A is congruent to angle C. Because angle FCE is on the other side of the angle C which is equal to A, angle FCE has to equal A
Margo is 8 years older than her brother Dan. The sum of their ages is 56. How
old is Dan?
Answer:
dan is 24
I had to redo this one
The age of Margo and Dan will be 32 years and 24 years, respectively.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
Margo is 8 years older than her brother Dan. The sum of their ages is 56.
Let M be the age of Margo and D be the age of Dan. Then the equations are written as,
M = D + 8 ...1
M + D = 56 ...2
From equations 1 and 2, then we have
D + 8 + D = 56
2D + 8 = 56
2D = 56 - 8
2D = 48
D = 48 / 2
D = 24 years
Then the age of Margo will be given as,
M + 24 = 56
M = 56 - 24
M = 32 years
The age of Margo and Dan will be 32 years and 24 years, respectively.
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