Solve the system of equations with graph as given below. Write the solution as an ordered pair (x, y).
Answers
Answer:
(5,-2)
Step-by-step explanation:
The two equations are y=-x+3 and y=x-7
Their point of intersection, (5,-2), is the ordered pair solution to the system of equations.
Related Questions
Find the radius and circumference of this pizza. Round to the nearest hundredth if necessary
Answers
Geraldine invests $2,500 in a retirement account with a fixed annual interest rate of 9.5% compounded
every month. What will the account balance be after 15 years?
Answers
Answer:
FV= $10,342.64
Step-by-step explanation:
Giving the following information:
Initial Investment (PV)= $2,500
Interest rate (i)= 0.095/12= 0.00792
Number of periods (n)= 15*12= 180
To calculate the future value (FV), we need to use the following formula:
FV= PV*(1 + i)^n
FV= 2,500*(1.00792^180)
FV= $10,342.64
The diagram shows two lighthouses A and B and a port P
A boat is on a bearing of 340° from lighthouse A and 245° from lighthouse B.
a) Mark, with a cross, the position of the boat on the map.
b) What bearing should the boat sail on to enter the port?
Answers
Answer:
B) is 085 degrees
Step-by-step explanation:
A) From point 'a', measure around 336 degrees bearring and then put the line there. Then, from point 'b' measure around 250 degrees when measuring north.
I hope this makes sense lol, I pretty much guessed the answered so don't expect a proper explanation. :'(
Anyways, there is a screenshot attached that might help.
find the area of sector AOB given that angle AOB is 60°and radius of the circle 7cm
Answers
Answer:
25.67cm²
Step-by-step explanation:
the area of sector= 60/360 × 22/7× 7²=
1/6 × 154 = 25.67 cm²
Answer:
25.67
Step-by-step explanation:
In the number 3,941,608,572, which digit is in the hundred millions place?
Answers
Answer:
9
Step-by-step explanation:
A hundred millions is: 100,000,000
looking at the number the number in the place hundred millions place is 9, so the answer is 9.
Answer:900,000,000
The digit is 9
Step-by-step explanation:
Portia has purchased a new aquarium for her fish. It is in the shape of a hexagonal prism. 3a) How much water can Portia’s new aquarium hold? * 1 point a) 166.28 cubic inches b) 790.28 cubic inches c) 956.56 cubic inches d) 3120 cubic inches e) 6240 cubic inches
Answers
Answer:
D. 3120
Step-by-step explanation:
How many sides does a hexagon have? Six. Let's begin our equation with 6. The area of a triangle formula would be: 1/2 bh. And a hexagon is just six triangles put together. Now our equation is: 6 (1/2 bh) What's bh then? B (base)= 8in. The base is usually always at the bottom. Now we take 10 and add it into the equation. Next we would multiply this by 13. Our equation is now: 6(1/2*8*10)*13. What do you get then? 3120.
For Part B: Portia's new fish require complete darkness for 12 hours a day. Rather than buying a blackout curtain for her room, she decides to make an aquarium cover out of a tropical print, with a blackout liner. How much tropical print fabric will she need to purchase in order to cover the top and sides of the aquarium?
Now, we're dealing with surface area. What is surface area, anyway? Surface area is the sum of all faces. There are 2 hexagonal faces and 6 sides.
What is 6*1/2 *8? 24! Now what's 10*24? That's right, 240!
8*13=104
6(104)=624
624+240=864
please help this is overdue and i get my grades tmr
Answers
Answer:
162 sq
Step-by-step explanation:
6 x 9 x 3 = 162
unless im wrong :/
Answer:
The surface area is 198 square centimeters.
Step-by-step explanation:
A = 2 · (wl + hl + hw)
2 · (6 · 9 + 3 · 9 + 3 · 6)
198
Paula needs to replace the floor in her family room since her cat peed in several places. She wants to put down both vinyl flooring and carpet in the room. The carpet she selected costs $2 per sq. foot. The vinyl floor covering costs $1 per sq. foot. She has $500 to spend on materials and must cover an area of 300 sq. feet. How much carpet and vinyl flooring will she buy to meet her requirements?
Answers
Answer:
c = amount of carpet flooring; v = amount of vinyl flooring2c + 1v = $500v = 100 sq. ft.c + v = 300c = 200 sq. ft.
Step-by-step explanation:
the anwser
PLEASE HELP FAST 19POINTS
Answers
Answer:
m=18 because the oxf =3m so
3m+3m+4m=10
180÷10=m
m=18
Suppose that a regression line for some data transformed with logarithms predicts that when x equals 7. logi) will equal 1.755. What does the regression line predict y will equal when xequals 7? Round your answer to the nearest whole number A. 57 O OB. 12 Oc. 2 O D. 30
Answers
Answer:
A: 57
Step-by-step explanation:
We are told that;
When x = 7, log y = 1.755
Since we want to find the value of y when x = 7, and the log function is in base 10, we will just use anti log to solve for y in the equation.
Thus;
Log₁₀y = 1.755
y = 10^(1.755)
y = 56.89
Approximating to a whole number gives;
y = 57
Which system has no solutions?
A. x > 3
x < 1
B. x < 3
x > 1
C. x < 3
x < 1
D. x > 3
x > 1
Answers
Answer:
the answer is C. x<3 x<1 that is the answer
The graph above shows the cost, in dollars, of apples as
a function of the number of pounds of apples purchased
at a particular grocery store. The equation above defines
the cost C, in dollars, for p pounds of pears at the same
store. Which of the following statements accurately
compares the cost per pound of apples and the cost per
pound of pears at this store?
A. Apples cost approximately $0.07 less per pound
than pears do.
B. Apples cost approximately $0.04 less per pound
than pears do.
C. Apples cost approximately $0.73 less per pound
than pears do.
D. Apples cost approximately $0.62 more per pound
than pears do.
Answers
Your answer is A
The accurate statement is A. Apples cost approximately $0.07 less per pound.
Cost of Apples per pound using the given graph:The constant of proportionality would give us the cost of per pound. From the graph, when number of pounds (p) = 3, cost in dollars (C) = 4.
Constant of proportionality = C/p = 4/3
Therefore, Cost of apples per pound = 4/3 = $1.33 (approximated)
Cost of Pears per pound using the given equation:[tex]C = \frac{7}{5} p[/tex]
The constant of proportionality of the equation function will give us the cost per pound for pears.
From the equation, the we can deduce that [tex]\frac{7}{5}[/tex] represents the cost of pears per pound (constant of proportionality).
Thus:
Cost of pears per pound = 7/5 = $1.40
The difference between the cost per pound of pears and the cost per pound of apples would be:
$1.40 - $1.33 = $0.07
Therefore, we can conclude that apples cost approximately $0.07 less per pound.
Learn more about constant of proportionality here:
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solve this: - 6 n = 30
Answers
Answer:
-6n=30
so find value of n
n=30÷(-6)
n=-5
so, value of n = -5
Answer:
-6 n = 30
or,n=30÷(-6)
or,n=-5
Angle PKL and angle MKN are complementary angles. The measure of angle PKL is twice the measure of angle MKN.
a. Write one equation to find x,
b. What is the measure of angle MKN
c. Solve for x.
Answers
Answer:
∠MKN = 30°
Step-by-step explanation:
∠PKL = 2x
∠MKN = x
2x + x = 90
3x = 90
x = 30
∠MKN = 30°
Rob can complete his bus route in 4 hours. Joan can complete her bus route in 3 hours. If they both left the terminal at 3:00 am and after each completed route returned to the terminal, determine the next time they would leave the terminal at the same time.
Answers
Answer:
3:00 pm
Step-by-step explanation:
Given
[tex]Rob = 4\ hrs[/tex]
[tex]Joan = 3\ hrs[/tex]
[tex]Start\ Time = 3:00\ am[/tex]
Required
The next time they leave at the same time
To do this, we first list out the multiples of 4 and 3 (i.e. their time of completing each route)
So, we have:
[tex]Rob: 4, 8, 12, 16, 20...[/tex]
[tex]Joan: 3,6,9,12,15,18....[/tex]
The least common multiple in the above is:
[tex]Least = 12hrs[/tex]
This means that they will meet at the terminal after 12 hours
So, their meeting time is:
[tex]Time = 3:00am + 12\ hrs[/tex]
[tex]Time = 3:00\ pm[/tex]
Caleb’s parents gave him a used car, and he pays his own insurance, which is $110 a month. His gas and maintenance expenses usually run $65 a month. He also has a cell phone and pays his parents $30 each month for his share of the family plan.
What are Caleb's total regular monthly expenses?
Answers
110 + 65 + 30 = $205
Answer: Calebs total regular monthly expenses would be $205
Step-by-step explanation:
Hope this helps
6. The 2014 winner of the Boston Marathon runs as many as 120 miles per week. During the last few weeks of his
training for an event, his mileage can be modeled by M(w) = 120(.90)w-, where w represents the number of
weeks since training began. Which statement is true about the model M(w)?
Answers
Answer:
Step-by-step explanation:
Your question is incomplete. Please read below to find the content/question.
M(w) represents the total mileage run in a given week.
The answer is option 3.
What is problem-solving?Problem-solving is the act of defining a hassle; figuring out the purpose of the trouble; figuring out, prioritizing, and choosing alternatives for a solution; and imposing a solution.
What are problem-solving and examples?Problem-solving starts with figuring out the issue. for instance, a teacher would possibly need to parent out a way to enhance pupil performance on a writing scalability test. To do this, the trainer will evaluate the writing assessments looking for areas of improvement.
Learn more about Problem-solving here: brainly.com/question/13818690
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An account is compounded continuously at 4.5% interest. What was the initial amount deposited if after 8 years it is worth $1720?
Answers
9514 1404 393
Answer:
$1200.00
Step-by-step explanation:
The balance is given by the formula ...
A = Pe^(rt) . . . . . principal P invested at annual rate r for t years
Using your numbers, we can find P to be ...
P = Ae^(-rt) = $1720·e^(-0.045·8) = $1720·e^-0.36
P ≈ $1200.00
Which is the most reasonable measure for the capacity of a bathtub?
O 5 liters
© 159 liters
O 159 milliliters
1000 milliliters
Answers
The average time for 100-meter race that Usain Bolt used is 9.6 seconds on average. He wants to test whether his speed has decreased or not. His speed was tested for 16 times, and the average time is 9.7 seconds. Assume the population standard deviation is 0.1 second. At a 5% significance level, the decision is to _________.
Answers
Answer:
At a 5% significance level we reject the Null hypothesis [tex]H_0[/tex]
Step-by-step explanation:
From the question we are told that:
Distance [tex]d= 100[/tex]
Mean [tex]\mu=9.6[/tex]
Sample size [tex]n=16[/tex]
Sample mean [tex]\=x=9.7[/tex]
Standard deviation [tex]\sigma= 0.1[/tex]
significance level [tex]\alpha=5%=>0.05[/tex]
Generally the Hypothesis is mathematically given by
[tex]H_0=\mu=9.6[/tex]
[tex]H_a=\mu=9.6[/tex]
Generally the equation for t test statistics is mathematically given by
[tex]t=\frac{\=x-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex]
[tex]t=\frac{9.7-9.6}{\frac{0.1}{\sqrt{16} } }[/tex]
[tex]t=4[/tex]
Therefore P-Value from table
[tex]P-Value=0.000[/tex]
[tex]\alpha>P-value[/tex]
Therefore
At a 5% significance level we reject the Null hypothesis [tex]H_0[/tex]
PLEASE HELP!
Find the x value.
Answers
Answer:
72
Step-by-step explanation:
every angle in a triangle adds up to 180
57 + 51 + x = 180
x = 72
Answer:
The answer to the question is:
x=72°
Step-by-step explanation:
The total angles of a triangle is 180°
x+51°+57°=180°
x+108°=180°
x=180°-108°
x=72°
Find the radius of convergence and the interval of convergence.
[tex]\displaystyle \sum \limit_{n=1}^\infty \frac{x^\text{n}}{2^\text{n}(n+1)^2}[/tex]
Answers
Answer:
Radius of Convergence: 2
Interval of Convergence: [-2, 2]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightEquality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityAlgebra I
Exponential Rule [Multiplying]: [tex]\displaystyle b^m \cdot b^n = b^{m + n}[/tex]Exponential Rule [Dividing]: [tex]\displaystyle \frac{b^m}{b^n} = b^{m - n}[/tex]Calculus
Series Convergence Tests
P-Series: [tex]\displaystyle \sum \limit_{n = 1}^\infty \frac{1}{n^p}[/tex]Direct Comparison Test (DCT)Alternating Series Test (AST)Ratio Test: [tex]\displaystyle \lim_{n \to \infty} \bigg| \frac{a_{n + 1}}{a_n} \bigg|[/tex]Radius of Convergence (ROC)
Ratio TestInterval boundInterval of Convergence (IOC)
Testing endpointsStep-by-step explanation:
Step 1: Define
[tex]\displaystyle \sum \limit_{n = 1}^\infty \frac{x^n}{2^n(n + 1)^2}[/tex]
Step 2: Find ROC
Apply Ratio Test
[Series] Set up [Ratio Test]: [tex]\displaystyle \lim_{n \to \infty} \bigg|\frac{x^{n + 1}}{2^{n + 1}(n + 2)^2} \cdot \frac{2^n(n + 1)^2}{x^n} \bigg|[/tex][Ratio Test] Rewrite exponentials [Exponential Rule - Multiplying]: [tex]\displaystyle \lim_{n \to \infty} \bigg|\frac{x^n \cdot x}{2^n \cdot 2(n + 2)^2} \cdot \frac{2^n(n + 1)^2}{x^n} \bigg|[/tex][Ratio Test] Simplify: [tex]\displaystyle \lim_{n \to \infty} \bigg| \frac{x}{2(n + 2)^2} \cdot (n + 1)^2 \bigg|[/tex][Ratio Test] Multiply: [tex]\displaystyle \lim_{n \to \infty} \bigg| \frac{x(n + 1)^2}{2(n + 2)^2} \bigg|[/tex][Ratio Test] Evaluate limit: [tex]\displaystyle \bigg| \frac{x}{2} \bigg| < 1[/tex][Ratio Test] Isolate x: [tex]\displaystyle |x| < 2[/tex]Our ROC is 2.
Step 3: Find IOC
Test endpoints
[ROC] Find interval bound: [tex]\displaystyle -2 < x < 2[/tex]x = -2
Substitute in x [Series]: [tex]\displaystyle \sum \limit_{n = 1}^\infty \frac{(-2)^n}{2^n(n + 1)^2}[/tex][Series] Rewrite [Exponential Rules - Multiplying]: [tex]\displaystyle \sum \limit_{n = 1}^\infty \frac{(-1)^n2^n}{2^n(n + 1)^2}[/tex][Series] Simplify: [tex]\displaystyle \sum \limit_{n = 1}^\infty \frac{(-1)^n}{(n + 1)^2}[/tex]Test convergence of modified series: Alternating Series Test
[AST] Condition 1 [Limit Test]: [tex]\displaystyle \lim_{n \to \infty} \frac{1}{(n + 1)^2} = 0 \ \checkmark[/tex][AST] Condition 2 [aₙ vs bₙ comparison]: [tex]\displaystyle \frac{1}{(n + 2)^2} \le \frac{1}{(n + 1)^2} \ \checkmark[/tex]At x = -2, the series is convergent.
∴ Current IOC is -2 ≤ x < 2 or [-2, 2); 2 undetermined
x = 2
Substitute in x [Series]: [tex]\displaystyle \sum \limit_{n = 1}^\infty \frac{2^n}{2^n(n + 1)^2}[/tex][Series] Simplify: [tex]\displaystyle \sum \limit_{n = 1}^\infty \frac{1}{(n + 1)^2}[/tex]Test convergence of modified series: Direct Comparison Test
[DCT] Condition 1 [Define comparing series]: [tex]\displaystyle \sum \limit_{n = 1}^\infty \frac{1}{n^2}[/tex][DCT] Condition 1 [Test convergence of comparing series]: [tex]\displaystyle p = 2 > 1, \ \sum \limit_{n = 1}^\infty \frac{1}{n^2} \ \text{convergent by p-series}[/tex][DCT] Condition 2 [aₙ vs bₙ comparison]: [tex]\displaystyle \frac{1}{(n + 1)^2} \le \frac{1}{n^2} \ \checkmark[/tex]At x = 2, the series is convergent.
∴ IOC for [tex]\displaystyle \sum \limit_{n = 1}^\infty \frac{x^n}{2^n(n + 1)^2}[/tex] is -2 ≤ x ≤ 2 or [-2, 2]
Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Taylor Polynomials and Approximations - Power Series (BC Only)
Book: College Calculus 10e
The graph of the function f(x) = cos(x) is shown.
What is the range of the function?
A. [-3,3]
B. (-00, 00)
C. [-1, 1]
D. (0, 2m)
Answers
Answer:
C
Step-by-step explanation:
bottom to top
it goes from -1 to 1
The required range of the function y= cosx is [-1, 1]. Option C is correct.
From the graph range of the function y = cosx is to be determined.
Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is independent while Y is the dependent variable.
What is range?The range is defined as the difference between higher and lower values of y = f(x).
In a graph the value of y = f(x) = cosx is defined for every x of its domain (-∞, ∞) it varies from minimum -1 to maximum +1 on the y axis, so the range of the function is [ -1, 1].
Thus, the required range of the function y= cosx is [-1, 1]. Option C is correct.
Learn more about function here:
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Complete the function table
Answers
Answer:
8, 6, 3, 2, 1
Step-by-step explanation:
g(x) = -x + 3
using g(x),
g(-5) = (-1 x -5) + 3
= 5 + 3
= 8
g(-3) = (-1 x -3) + 3
= 3 + 3
= 6
g(0) = 0 + 3
= 3
g(1) = -1 + 3
= 2
g(2) = -2 + 3
= 1
[(-18)+(+7)]×(-10)
i will you 10 point for this
Answers
Solve for x.
4x - 14
x + 85
x = [?]
Answers
Answer:
x = 33
Step-by-step explanation:
4x - 14 = x + 85
3x = 99
x = 99/3
x = 33
A bag contains 10 marbles: 2 are green, 2 are red, and 6 are blue. Yolanda chooses a marble at random, and without putting it back, choose another one at random. What is the probability that both marbles she chooses are green? Write your answer as fraction in simplest form.
Answers
Answer:
2/10 = 1/5
Step-by-step explanation:
What is the value of x in the equation (x + 12) = { x + 14) - 32
-24
-6
Answers
Answer: 4x=35
Step-by-step explanation:
4-8=4 4x=35
I will give Brainly, only answer if you’re sure :) thank you
Answers
Answer:
-3,2
Step-by-step explanation:
Answer:
(-3, 2)
Step-by-step explanation:
From the graph we can read off the x- and y-coordinates: -3 and 2. Thus, the vertex, which is also the minimum value, is (-3, 2).
What is the area of this polygon on a coordinate plane?
10 square units
20 square units
16 square units
12 square units
Answers
Answer:
10 squareunits
Step-by-step explanation:
have tht is a great day today with my family and my answer is no longer have to get
Answer:
10
Step-by-step explanation: