The solution to the system of equations: y = 2x + 5 and y = x + 1 is x = 1 and y = 2.
Understanding Linear EquationLinear equation is an algebraic equation in which each term is either a constant or the product of a constant and a single variable raised to the power of 1. In other words, it represents a straight line when graphed on a coordinate plane.
The general form of a linear equation is:
ax + by + c = 0
Here, "x" and "y" are variables, and "a," "b," and "c" are constants.
For example, the equation y = 2x + 3 is a linear equation with one variable (x) and represents a straight line on a graph. The coefficients 2 and 3 determine the slope and y-intercept of the line, respectively.
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HELP PLEASE whats the number for this answer?
ASAP
Answer:
68°
Step-by-step explanation:
Total angle in a quadrant = 90°
x + 22° = 90°
x = 90 - 22
x = 68°
Some values of functions f, g, h, and k are provided in the table on the right.
Find a possible equation of each function Verify your results with a graphing
calculator table. (HINT Use linear or exponential equations]
The equation of function f is f(x) =?
Without any values of the functions f, g, h, and k, it is not possible to find the equation of each function. The equation of a function can be determined by analyzing the values of the function. Based on the given values, a possible equation can be found and then verified by plotting the points on a graph and seeing if they align with the equation.
It's important to note that the equation can be a linear or exponential equation but it's impossible to determine it without any values.
QR=15;PR=28;PQ=15,Cos_=15/28
Answer:
I don't understand any thing can you read the question
PLEASE HELP!!! Given the <1 is a complement of <2 and m<2 =47° , find m<1
Answer:
43
133
Step-by-step explanation:
Complementary means that the two angles added together equal 90
90 - 47 = 43
Supplement means that the two angels added together equal 180
180 -47 = 133
On a flight from Chicago, Illinois, to Denver, Colorado,
the typical cruising altitude of a passenger jet is approximately
38,000 feet. As the flight departs from O'Hare International Airport,
the jet begins to ascend. At 4.3 miles away from the airport, the jet
is at an altitude of 4200 feet. The jet reaches an altitude of 36,700
feet at 167.5 miles away from the airport.
Determine the slope of ascent of the flight given that 5280 feet = 1 mile.
Round your answer to the nearest thousandth.
The slope of ascent of the flight is 0.04
How to calculate the slope of ascent?From the question, we have the following parameters that can be used in our computation:
Typical cruising altitude = 38,000 feetInitial point of ascend = 4.3 miles at 4,200 feetAnother point of ascend = 167.5 miles at 36,700 feetThe above parameters can be represented as
(x, y) = (4.3, 4200) and (167.5, 36,700)
The slope is then calculated as
Slope = (y₂ - y₁)/(x₂ - x₁)
Where x and y are defined above
So, we have
Slope = (36700 - 4200)/(167.5 - 4.3)
Evaluate
Slope = 199.14 feet per mile
Recall that 5280 feet = 1 mile.
So, we have
Slope = 199.14 feet/5280 feet
Evaluate
Slope = 0.04
Hence, the required slope is 0.04
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Anna volunteers on the weekend at the Central Library. As a school project, she decides to record how many people visit the library, and where they go. On Saturday, 382 people went to The Youth Wing, 461 people went to Social Issues, and 355 went to Fiction and Literature. On Sunday, the library had 800 total visitors. Based on what Anna had recorded on Saturday, about how many people should be expected to go to The Youth Wing? Round your answer to the nearest whole number.
Based on the data recorded by Anna on Saturday, we can estimate the number of people expected to visit The Youth Wing on Sunday.
Let's calculate the proportion of visitors to The Youth Wing compared to the total number of visitors on Saturday:
\(\displaystyle \text{Proportion} = \frac{\text{Visitors to The Youth Wing on Saturday}}{\text{Total visitors on Saturday}} = \frac{382}{382 + 461 + 355}\)
Next, we'll apply this proportion to the total number of visitors on Sunday to estimate the number of people expected to go to The Youth Wing:
\(\displaystyle \text{Expected visitors to The Youth Wing on Sunday} = \text{Proportion} \times \text{Total visitors on Sunday}\)
Now, let's substitute the values into the equation and calculate the estimated number of visitors to The Youth Wing on Sunday:
\(\displaystyle \text{Proportion} = \frac{382}{382 + 461 + 355}\)
\(\displaystyle \text{Expected visitors to The Youth Wing on Sunday} = \text{Proportion} \times 800\)
Calculating the proportion:
\(\displaystyle \text{Proportion} = \frac{382}{382 + 461 + 355} = \frac{382}{1198}\)
Calculating the estimated number of visitors to The Youth Wing on Sunday:
\(\displaystyle \text{Expected visitors to The Youth Wing on Sunday} = \frac{382}{1198} \times 800\)
Simplifying the equation:
\(\displaystyle \text{Expected visitors to The Youth Wing on Sunday} \approx \frac{382 \times 800}{1198}\)
Now, let's calculate the approximate number of visitors to The Youth Wing on Sunday:
\(\displaystyle \text{Expected visitors to The Youth Wing on Sunday} \approx 254\)
Therefore, based on the data recorded on Saturday, we can estimate that around 254 people should be expected to go to The Youth Wing on Sunday.
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The perimeter of a triangle is 38 feet. One side of the triangle is 4 feet shorter than the second side. The third side is 6 feet longer than the second side. Find the length of each side.
Answer:
First side, a = 8 ft.
Second side = 12 ft.
Third side, c = 18 ft.
Step-by-step explanation:
Let the sides of the triangle be a, b and c respectively.
Given the following data;
Perimeter = 38ft
First side, a = b - 4
Third side, c = b + 4
The perimeter of a triangle is given by the addition of all its three (3) sides.
Mathematically, the perimeter of a triangle is given by the formula;
P = a + b + c
Substituting into the equation, we have;
38 = (b - 4) + b + (b + 6)
38 = 3b + 2
3b = 38 - 2
3b = 36
b = 36/3
b = 12ft
To find the first side, a;
a = b - 4
a = 12 - 4
a = 8ft.
To find the third side, c
c = b + 6
c = 12 + 6
c = 18 ft.
True or False: A triangle can be formed with sides 3inches, 3inches, 6inches. Explain your choice.
Answer: It's true because 3+3+6 = 12 and a triangle has 3 sides and 12/3 is 4 that's why a triangle can be fored with these measurments.
Step-by-step explanation:
Answer:
True
Step-by-step explanation:
It would be classified as an isosceles triangle.
Hope this helps!
Which graph represents the function f(x) = –|x + 3|?
Answer:
Where are the graph(s)?
Step-by-step explanation:
Answer: Its A on eng for the graphs.
Step-by-step explanation:
How many years will it take a population of 100 deer to double if the population
is growing at a rate of 11% each year?
AND. I NEED HELP WITH THE QUESTION ABOVE
Answer:
100 x 0.11 = 11 (per year)
100 / 11 = 9 years
Step-by-step explanation:
Hope that helped! Have a nice day!
I don't know for the picture (sorry!)
The table shows the pricing for four different brands of cat food.
Which brand costs the least per ounce?
A. $0.88 for 4 oz
B. $1.05 for 5 oz
C. $1.60 for 8 oz
D. $2.28 for 12 oz
Answer:
c
Step-by-step explanation:
a: 0.88 ÷ 4 = $0.22 per ounce
b: 1.05 ÷ 5 = $0.21 per ounce
c: 1.6 ÷ 8 = $0.1875 per ounce
d: 2.28 ÷ 12 = $0.19 per ounce
20 points and brainiest
Mark wants to invest his money in a bank account and has been presented with two options.
Time of Deposit Year 1 Year 2 Year 3 Year 4
Account A $1000 $1100 $1200 $1300 $1400
Account B $1000 $1100 $1210 $1331 $1464.10
Part A: Which account is linear? Which is exponential?
Part B: Which account is the better investment? Why?
Part C: Write an equation to model each of the accounts.
what is the probability that either event will occur?
The probability that either event will occur is P ( C ) = 0.89
Given data ,
Let the probability that either event will occur be P ( C )
P ( A ) = 20/36
P ( B ) = 12/36
where P ( A or B ) = P ( C )
P ( C ) = P ( A ) + P ( B )
P ( C ) = 32/36
P ( C ) = 0.88888
Hence , the probability is P ( C ) = 0.89
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If a snowball melts so that its surface area decreases at a rate of 3 cm2/min, find the rate (in cm/min) at which the diameter decreases when the diameter is 9 cm. (Round your answer to three decimal places.)
Answer:
The diameter decreases at a rate of 0.053 cm/min.
Step-by-step explanation:
Surface area of an snowball
The surface area of an snowball has the following equation:
\(S_{a} = \pi d^2\)
In which d is the diameter.
Implicit differentiation:
To solve this question, we differentiate the equation for the surface area implictly, in function of t. So
\(\frac{dS_{a}}{dt} = 2d\pi\frac{dd}{dt}\)
Surface area decreases at a rate of 3 cm2/min
This means that \(\frac{dS_{a}}{dt} = -3\)
Tind the rate (in cm/min) at which the diameter decreases when the diameter is 9 cm.
This is \(\frac{dd}{dt}\) when \(d = 9\). So
\(\frac{dS_{a}}{dt} = 2d\pi\frac{dd}{dt}\)
\(-3 = 2*9\pi\frac{dd}{dt}\)
\(\frac{dd}{dt} = -\frac{3}{18\pi}\)
\(\frac{dd}{dt} = -0.053\)
The diameter decreases at a rate of 0.053 cm/min.
Please help
Please do step by step!
Answer: 51) 25
Step-by-step explanation:
51) start by finding h(81). Simply plug in 81 for x in the h(x) function. This gives you the square root of 81 + 5. Square foot of 81 is 9 and 9+5=14. Now solve g(-2) by plugging in -2 into the g(x) function. So you have (-2)^2 -15=4-15=-11. Now that you have your answers for h(81) and g(-2) solve the given problem: h(81)-g(-2). Remember h(81)=14 and g(-2)=-11. So 14-(-11)=25.
What is the average rate of change for this quadratic
function for the interval from x=2 to x = 4?
A. 12
B. -6
C. -12
D. 6
-10-
Click here for long description
SUBMIT
The average rate of change of the function over the interval is -6
Finding the average rate of changeFrom the question, we have the following parameters that can be used in our computation:
The graph
The interval is given as
From x = 2 to x = 4
The function is a quadratic function
This means that it does not have a constant average rate of change
So, we have
f(2) = -3
f(4) = -15
Next, we have
Rate = (-15 + 3)/(4 - 2)
Evaluate
Rate = -6
Hence, the rate is -6
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Find the least common multiple of 14 and 22.
The volume of this prism is 2 1/2 cubic centimeters.
Its height is 1/3 of a centimeter.
What are possible values for its length and width?
One of the Possible values of length and width of the prism are 15 cm and 0.5 cm
What is the volume of the prism?In geometry, a prism is a polyhedron comprising an n-sided polygon base, a second base which is a translated copy of the first, and n other faces, necessarily all parallelograms, joining corresponding sides of the two bases.
Given here: The volume of the prism is 2¹/₂=2.5 cm³
And the height is 1/3 cm
let the length and breadth of the prism is x and y respectively.
We know the volume of the prism as
1/3 × x×y=2.5
x×y=7.5
Thus possible values of length and breadth are the factors of 7.5
out of which one of the pair whose length is 15 cm and width 0.5 cm
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What is the value of a?
A. 12
B. 15
C. 17.25
D. 21.25
Answer:
the answer is a.12
i think
Answer:
17.25
Step-by-step explanation:
To find the number in a square, add the numbers in the two circles
connected to it.
Fill in the missing numbers.
The missing values in the quantitative reasoning given are : -2, 13 and 9
Given the rule :
square = circle + circleWe can deduce that :
circle = square - circleFor the left circle :
circle = -6 - (-4) = -6 + 4 = -2
For the right circle :
circle = 11 - (-2) = 11 + 2 = 13
For the left square :
square = 13 + (-4)
square = 13 -4 = 9
Therefore, the missing values are : -2, 13 and 9
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please help me i dont understand thank you!!
Answer:
32 units squared
Step-by-step explanation:
Split up the figure into easy to find area parts. So, theres 2 triangles, and in the middle of those, you can make a square. And that would make the top part a large triangle! Now find the area of these
Large triangle: 1/2 (4)(10) = 20
Smallest triangle: 1/2(2)(2) = 2
Medium triangle: 1/2(6)(2) = 6
Square: 2*2 = 4
Now add them all up! 20+2+6+4 = 32 units squared!
3) Given the diagram below, if ZOMN = MNO, what must be true? I need help
Given:
∠OMN ≅ ≅MNO
Let's find the correct statement.
From the figure given, measure of angle OMN is congruent to measure of angle MNO.
Since both measures are equal.
Thus, we can say triangle MNO is an isosceles triangle because the base angles ∠∠OM and N∠MN are congruent.
An isosceles triangle has equal base angles and the legs of an isosceles triangle are also equal.
From the equal angles we have, the legs of triangle MNO are OM and ON.
Therefore, we can say that side OM and ON are congruent.
Thus, we have:
OM O ON
ANSWER:
OM ≅ ON
Film cameras allow a limited number of shots per role. How many images can a photographer typically shoot on a roll?
O A 30
OB. 36
OC. 25
O D. 50
OE 20
Film cameras allow a limited number of shots per role. 36 images can a photographer typically shoot on a roll. Thus, option A is the correct option.
The most cost-effective per shot is the roll, which typically yields 36 exposures. The 35mm format comes in a few different forms. On a roll of 35mm film, half-frame cameras may capture twice as many images at a smaller size.
Rolls of film typically have 24 or 36 exposures. The number of pictures you may take before loading a new roll may be limited as a result. However, some photographers view this as a benefit since it forces them to be more deliberate and exact when creating their images.
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Mrs. Reynolds has $153. She buys a bicycle for $105.
Then, she finds $20 at the bottom of her purse.
How much money does she have now? Use the bar diagrams to help you.
Step 1:
Step 1: a bar diagram shows 105 and m, the money left after buying a bike. Together 105 and m are equal to 153.
Step 2:
Step 2: a bar diagram shows that 20 and m is equal to s, the money now.
Enter your answer in the box.
Mrs. Reynolds has $
now.
Answer:
$68
m=48 s=68
Step-by-step explanation:
153-105=48+20=68
Which could be the function graphed below?
On a coordinate plane, a curve starts in quadrant 2 and crosses the y-axis and goes into quadrant 1. The curve opens down and to the right.
A function which could be the function graphed above "On a coordinate plane, a curve starts in quadrant 2 and crosses the y-axis and goes into quadrant 1. The curve opens down and to the right" is: D. f(x) = √(x + 4).
What is a quadrant?In Mathematics, a quadrant can be defined as the area that is occupied by the values on the x-coordinate (x-axis) and y-coordinate (y-axis) of a cartesian coordinate.
This ultimately implies that, there are four (4) major quadrants in any graph and these include the following:
Quadrant IQuadrant IIQuadrant IIIQuadrant IVNext, we would use an online graphing calculator to plot the given functions in order to determine the function that was graphed, which we can logically deduce is f(x) = √(x + 4).
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Complete Question:
Which could be the function graphed below?
On a coordinate plane, a curve starts in quadrant 2 and crosses the y-axis and goes into quadrant 1. The curve opens down and to the right.
f(x) = √(x - 5) + 1
f(x) = √(x - 2)
f(x) = √x
f(x) = √(x + 4)
Move the numbers to the blanks to order them from least to greatest value.
0.4
9/8
I-21
1/2
-0.89
Answer: -0.89 1-21 0.4 1/2 9/8
Step-by-step explanation:
Answer:
1-21, -0.89, 1/2, 0.4, 9/8
Step-by-step explanation:
50 POINTS PLEASE HELP!
Use technology or a z-score table to answer the question.
The speed of automobiles at one spot on a highway is normally distributed with a mean of 60 miles per hour and a standard deviation of 5.2 miles per hour.
Approximately what percent of automobiles at that location are traveling between 50 and 65 miles per hour?
A. 2.7%
B. 16.8%
C. 80.4%
D. 83.2%
The percentage that speed of automobiles at that location lies between 50 and 60 miles per hours is 80%
Z-score measures the distance between a data point and the mean using standard deviation . It can both negative and positive value .
Negative value of z-score tells data point is below the mean and positive value of z-score tells its above the mean.
Given , The speed of automobiles at one spot on a highway is normally distributed
Mean : μ = 60
Standard deviation : σ : 5.2
Let the speed of automobile be "x"
We have to calculate percentage of automobile travelling between 50 and 65 :
Probability that speed of automobiles between 50 and 65 is
P(50 <x<65)
Subtracting by 60 and dividing by 5.2
\(P( 50 < x < 65) = P(\frac{50 -60}{5.2} < Z < \frac{65 - 60}{5.2} )\)
\(P(\frac{-10}{5.2} < Z < \frac{5}{5.2} )\)
= P(-1.92 < z < 0.9615)
Using Z-probability distribution table
P(-1.92 < z < 0.9615) = P(z < 0.96) - P(z < -1.92)
= 0.8315 - 0.0274
= 0.8041
Percentage = 80%
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There is a line who's y-intercept is 8 and whose slope is 0. What is its equation in slope-intercept form?
Answer:
m=x+8 because the y intercept Is 8 it takes the place of b in the equation and there is no slope so there is no thus you will have a straight line on the 8on the y axis
Answer: m=x+8
good luck
Which complex number is equivalent to the given expression (2+I)(8-3i)-(23+34i)
Answer: -4 - 32i
i just took this test
The complex number is equivalent to the given expression (2+I)(8-3i)-(23+34i) is -32i-12.
The given expression is (2+i)(8-3i)-(23+34i).
What is a complex number?A complex number can be visually represented as a pair of numbers (a, b) forming a vector on a diagram called an Argand diagram, representing the complex plane.
Now, apply the distributive property and multiply each term of the first complex number with each term of the second complex number.
That is, (2+i)(8-3i)=8+8i-6i-3i²=8+2i+3 (∵i²=-1)
Now, 2i+11-23-34i=-32i-12
Therefore, the complex number is equivalent to the given expression (2+I)(8-3i)-(23+34i) is -32i-12.
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What is the periodic interest rate for an account that is billed monthly with an APR of 21.99% round your answer to the nearest hundredth
Answer:
To calculate the periodic interest rate for an account billed monthly with an APR of 21.99%, we need to divide the APR by the number of billing periods in a year.
Since there are 12 months in a year for a monthly billing cycle, we can divide 21.99% by 12 to get the monthly periodic interest rate.
Periodic Interest Rate = APR / Number of Billing Periods in a Year
Periodic Interest Rate = 21.99% / 12
Periodic Interest Rate = 1.8325%
Rounding this answer to the nearest hundredth, we get a periodic interest rate of 1.83%.