For the given percenatge of total cost, the total value of Gabe's health care coverage for the year is $9,984.
What is percentage?
Percentage is a way of expressing a fraction or a part of a whole as a portion out of 100. It is represented by the symbol "%".
We can start by using the information given to determine the total cost of the health care coverage. Let's call this cost "C". Since Gabe contributes 15% of this cost and pays $28.80 per week, we can write:
0.15C = 28.80
To solve for C, we can divide both sides by 0.15:
C = 28.80 / 0.15
= 192
So the total cost of the health care coverage is $192 per week. To find the total value of Gabe's health care coverage for the year, we need to multiply this weekly cost by the number of weeks in a year.
Assuming there are 52 weeks in a year, we have:
Total value of Gabe's health care coverage = 192 x 52
= 9984
Therefore, the total value of Gabe's health care coverage for the year is $9,984.
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no idea what to do, any help?
Answer:
a) {0,1,3,5,8}
b) -
Step-by-step explanation:
the composition cannot be performed cos 3 is mapped to 2 by g, but 2 is not in the domain of f
Which of the following choices is an example of a trade-off?
Mike has $100. He wants to buy a bike that costs $75 and three speakers that cost $30 each. He decides not to buy a bike so that he can afford all three speakers.
Edgar lives in a country in which the government controls the factors of production. He works in a factory where all the workers make the same wage and has limited access to luxury goods like electronics
OAs demand for Alice's paintings increases, she decides to increase her prices
Grasshoppers wipe out most of the US wheat crop one year. As a result, the price of wheat rises for consumers
Answer:Mike has $100. He wants to buy a bike that costs $75 and three speakers that cost $30 each. trade of is example of Opportunity cost
Step-by-step explanation:
Determine the unknown side of the similar triangle
btw ik this isn't college math it was automatically set to it
The required measure of the unknown side in similar triangles is 4.
What are Similar triangles?Similar triangles are two triangles that have the same shape but are not necessarily the same size. More specifically, two triangles are similar if their corresponding angles are congruent (i.e., have the same measure), and the corresponding sides are proportional (i.e., have the same ratio).
Here,
Two similar triangles are given in the figure,
Let the unknown side be x
For a similar triangle, the ratio of the corresponding sides are equal So,
a / 8 = 6 / 12
a = 8/2
a = 4
Thus, the required measure of the unknown side in similar triangles is 4.
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The area of a triangular sail is given by the expression
1
2
bh, where b is the length of the base and h is the height. What is the area of a triangular sail in a model sailboat when b = 12 inches and h = 7 inches?
The area of a triangular sail in a sail model is
in2.
The area of the triangular sail in the sail model is 42 square inches.
According to given information:The area of a triangular sail is given by the formula:
Area = (1/2)bh
where b is the length of the base and h is the height.
Substituting b = 12 inches and h = 7 inches, we get:
Area = (1/2)(12 inches)(7 inches) = 42 square inches
Therefore, the area of the triangular sail in the sail model is 42 square inches.
What is area of triangle ?The area of a triangle is given by the formula:
Area = (1/2) * base * height
where "base" is the length of the base of the triangle and "height" is the height of the triangle perpendicular to the base.
To find the area of a triangle, you simply need to plug in the values of the base and height into the formula and perform the calculation. The resulting value will be the area of the triangle.
Note that the base and height of the triangle must be measured in the same units (e.g., inches, centimeters) in order for the formula to work correctly.
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Answer:
24
Step-by-step explanation:
N/A
A lighthouse has a shadow that is 36 36 feet long. Zara is 4 4 feet tall, and has a shadow that is 3 3 feet long. The two triangles formed are similar because the angle to the sun is the same. Use this information to complete the statement about the lighthouse.
The height of the lighthouse is 48 feet.
To find the height of the lighthouse, we can use the concept of similar triangles. When two triangles are similar, it means that they have the same shape but different sizes. In this case, the two triangles are similar because they have the same angle to the sun. That is, the angle between the ground and the line from the top of the lighthouse to the sun is the same as the angle between the ground and the line from Zara to the sun.
This proportion is based on the fact that the two triangles are similar, so the corresponding sides are in proportion.
So, we have:
(height of lighthouse) / 36 feet = 4 feet / 3 feet
We can solve for the height of the lighthouse by cross-multiplying:
(height of lighthouse) = 36 feet × (4 feet / 3 feet)
Simplifying the expression, we get:
(height of lighthouse) = 48 feet
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The given question is incomplete, the complete question is
A lighthouse has a shadow that is 36 36 feet long. Zara is 4 4 feet tall, and has a shadow that is 3 3 feet long. The two triangles formed are similar because the angle to the sun is the same. Use this information to complete the statement about the lighthouse.
The height of the lighthouse is ___ feet .
If w is 15 when z is 9, and w varies inversely with z, what is the value for z when w is 5?.
The value of z is 27 when the value of w is 5, when w varies inversely with z.
What is proportionality constant?The ratio of two proportional values at a constant value is the proportionality constant. When either the ratio or the product of two variables results in a constant, the connection between the two is proportional. The ratio between the two stated quantities affects the proportionality constant's value. Direct variation and inverse variation are two different sorts of this relationship.
Given that, w is 15 when z is 9, and w varies inversely with z.
This can be represented as:
w = k (1 /z)
where, k is the proportionality constant.
Substituting the value of w = 15 and z = 9 we have:
15 = k(1/9)
k = 15(9)
k = 135
Substituting the value of k and w = 5:
5 = 135(1/z)
z = 135/5
z = 27
Hence, the value of z is 27 when the value of w is 5.
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Roger will pour concrete to make a sidewalk with the dimensions, in feet, shown in the figure below. He will pour the concrete to a depth of 4 inches. One bag of concrete mix makes 0.6 cubic feet of concrete. What is the least whole number of bags of concrete mix that Roger needs in order to make the sidewalk?
F. 16
G. 44
H. 50
J. 58
K. 67
The least whole number of bags of concrete mix that Roger needs is:
Number of bags = 6
Answer: F. 16
What is Volume?The space that any three-dimensional solid occupies is known as its volume. These solids can take the form of a cube, cuboid, cone, cylinder, or sphere.
To find the volume of the sidewalk in cubic feet, we first need to convert the dimensions to feet. Since 1 foot = 12 inches, we have:
Length = 24 feet + 6 inches = 24.5 feet
Width = 4 feet + 6 inches = 4.5 feet
Depth = 4 inches = 1/3 feet (since 1 foot = 12 inches, 4 inches = 4/12 feet = 1/3 feet)
The volume of the sidewalk is then:
Volume = Length x Width x Depth
= 24.5 feet x 4.5 feet x 1/3 feet
= 3.25 cubic feet
Since one bag of concrete mix makes 0.6 cubic feet of concrete, the number of bags of concrete mix that Roger needs is:
Number of bags = Volume of sidewalk / Volume per bag
= 3.25 cubic feet / 0.6 cubic feet per bag
= 5.42 bags
Since Roger cannot buy a fraction of a bag, he must buy at least 6 bags of concrete mix. Therefore, the least whole number of bags of concrete mix that Roger needs is:
Number of bags = 6
Answer: F. 16
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Use the following information to answer the next four exercises. Recently, a nurse commented that when a patient calls the medical advice line claiming to have the flu, the chance that he or she truly has the flu (and not just a nasty cold) is only about 4%. Of the next 25 patients calling in claiming to have the flu, we are interested in how many actually have the flu.
On average, for every 25 patients calling in, how many do you expect to have the flu?
We expect that, on average, 1 out of 25 patients calling in claiming to have the flu will actually have the flu.
According to the nurse's observation, there is a 4% chance that a patient who calls the medical advice line and claims to have the flu truly has.
As a result, we anticipate that 4 out of every 25 people who phone in will truly have the flu.
To figure this out, we can use the formula below:
Probability of having the flu multiplied by the total number of patients equals the anticipated number of flu patients.
Estimated number of influenza patients = 0.04 times 25
Expected number of influenza patients is one.
Hence, on average, we anticipate that 1 out of every 25 individuals who call in and claim to have the flu will truly have it.
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Hoang has worked as a nurse at Springfield General Hospital for 5 years longer than her friend Bill. Five years ago, she had been at the hospital for twice as long. How long has each been at the hospital?
Answer:
Hoang: 15 yearsBill: 10 yearsStep-by-step explanation:
You want to know how long Hoang and Bill have worked at the hospital if Hoang has worked there 5 years longer, and 5 years ago that was twice as long as her friend Bill.
Thinking about itHoang's longevity will be twice Bills when Bill's is equal to the difference. That is, 5 years ago, Bill had been there 5 years and Hoang had been there 10 years.
Now, each has been there 5 years longer, so ...
Hoang has been there 15 yearsBill has been there 10 yearsEquationIf h represents Hoang's time at the hospital, 5 years ago it was (h-5). Currently, Bill's time at the hospital is (h-5), and 5 years ago it was (h-10). The relation between the times 5 years ago is ...
(h -5) = 2(h -10)
15 = h . . . . . . . . . . add 20-h to both sides
h-5 = 15 -5 = 10 . . . . Bill's time at the hospital
Hoang and Bill have been at the hospital 15 years and 10 years, respectively.
Can someone please answer these questions for me i cant figure them out!! (brainliest promised)
What is the fractional equivalent of the repeating decimal n = 0.1515... ?
Answer the questions to find out.
1. How many repeating digits does the number represented by n have? (2 points)
2. You need to multiply n by a power of 10 to help you find the fraction. Decide on the power of 10 to multiply by, and tell how you identified that number. (2 points)
3. Write an equation where the left side is your power of 10 times n and the right side is the result of multiplying 0.1515... by that power. (2 points)
4. Write the original equation, n = 0.1515... underneath your equation from question 3. Then subtract the equations. Show your work. (2 points)
5. Write n as a fraction in simplest form. Show your work. (2 points)
The fractional equivalent of the repeating decimal is 15/99
What does division of fractions mean?
A fraction is divided into additional equal pieces when it is divided into fractions. For instance, if you had three-fourths of a pizza remaining and divided each slice into two pieces, you would have received six slices, which would be equivalent to six-eighths of the entire pizza.
n = 0.1515...-------(1)
multiply n by 100 =10²
The reason we multiply x by 100 is because 0.1515... has 2 repeating digits and 100 has two zeros.
100n=15.15......--------(2)
Subtract (1) from (2)
100n=15.15...
n = 0.1515....
___________
99n=15
=> n=15/99
The fractional equivalent of the repeating decimal is 15/99
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Your Assignment
Alanah is picking up two friends to go to a concert. She drives from her house to
pick up Mia, then she drives to pick up Teresa, and then they go to the arena to see
the concert.
The grid shows the coordinates of their houses on a map. All distances are in miles.
16
14
12
10
986
A
N
Alanah
Mia
Arena
Teresa
2 4 6 8 10 12 14 16
Answer the questions to find the total distance of Alanah's trip to the arena.
When necessary, round answers to the nearest tenth.
To find the total distance of Alanah's trip to the arena, we need to add up the distances of each segment of her trip. We can use the distance formula to calculate the distances between the different points.
First, let's calculate the distance between Alanah's house (A) and Mia's house (M). Using the distance formula, we get:
distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)
distance = sqrt((4 - 2)^2 + (14 - 10)^2)
distance = sqrt(4 + 16)
distance = sqrt(20)
distance ≈ 4.5
So the distance between A and M is approximately 4.5 miles.
Next, let's calculate the distance between Mia's house (M) and Teresa's house (N). Using the distance formula, we get:
distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)
distance = sqrt((14 - 6)^2 + (16 - 12)^2)
distance = sqrt(64 + 16)
distance = sqrt(80)
distance ≈ 8.9
So the distance between M and N is approximately 8.9 miles.
Finally, let's calculate the distance between Teresa's house (N) and the arena. Using the distance formula, we get:
distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)
distance = sqrt((16 - 10)^2 + (8 - 16)^2)
distance = sqrt(36 + 64)
distance = sqrt(100)
distance = 10
So the distance between N and the arena is exactly 10 miles.
Now we can add up the distances of the three segments to get the total distance of Alanah's trip to the arena:
total distance = 4.5 + 8.9 + 10
total distance ≈ 23.4
Therefore, the total distance of Alanah's trip to the arena is approximately 23.4 miles
Please Someone smart help me with this!!
Answer:
See below
Step-by-step explanation:
The linear function is to be expressed in slope-intercept form:
y = mx + c
where:
m = slope
= [tex]\frac{y_{2} -y_{1}}{x_{2} -x_{1}}[/tex]
Select a pair of x and y coordinates of two points along this graph
e.g (0,1) and (5,0):
m = [tex]\frac{(0 - 1)Percent InDecimal}{(5 - 0) hour}[/tex]
= [tex]\frac{-1}{5}[/tex]
∴ slope = [tex]-\frac{1}{5}[/tex] = [tex]-0.2\frac{PercentInDecimal}{hour}[/tex]
which means 0.2 × 100%= 20%
∴The slope indicates that the power decreases by 20% per hour
c = y-intercept:
It is the y-value AT which the graph cuts or meets the y-axis. Its corresponding x-coordinate is 0. The y-intercept can be either read directly from the graph or calculated mathematically
∴y-intercept = 1
In this scenario, the y-intercept indicates the initial value or the value present in the beginning.
which means 1.0 × 100% = 100%
∴The y-intercept indicates that the battery is at 100% when you turn on the laptop.
∴Linear function relating y to x:
Substituting the values of m and c into the above stated equation:
[tex]y = -\frac{1}{5}x + 1[/tex]
The x-intercept is the x-value at which the graph crosses or intersects the x-axis. It’s corresponding y-coordinate is zero.
x-intercept = 5
In this scenario, the x-intercept indicates the point at which the final value is reached or achieved.
∴ The x-intercept indicates that the battery lasts 5 hours.
The battery power is at 75% = [tex]\frac{75}{100}[/tex] = 0.75 (expressed in decimal form. This means y = 0.75, which is to be substituted into the above derived linear function to solve for the corresponding value of x:
[tex]0.75 = -\frac{1}{5}(x) + 1[/tex]
Rearrange the equation to isolate x and make it the subject of the equation:
[tex]\frac{1}{5}x = 1 - 0.75[/tex]
[tex]\frac{1}{5}x = 0.25[/tex]
Cross-multiplication is applied:
[tex](1)(x) = (5)(0.25)[/tex]
x = 1.25 hours
∴The battery power is at 75% after 1.25 hours
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%.
I WILL GIVE BRAINLEST (7TH GRADE QUESTION)
Answer:
1. volume= 135
2. prism volume in cubic feet is: 21
3. surface area is 294 ft^2
4. surface area is 430 ft^2
Translate the statement five times the difference of a number and 3 is 17
Answer: el enunciado cinco veces la diferencia de un numero y 3 es 17
Step-by-step explanation:
Answer:
Let the number be X.ATQ, 5( x -3 ) = 17
5 x - 15 = 17
5x = 17 + 15
x = 32 /5
x = 6.4 ,
Use a graphing calculator or other technology to answer the question. Which quadratic regression equation best fits the data set? Responses yˆ=0.728x2+0.564x+179.246 y head equals 10.89 x squared plus 27.97 x minus 55.87 yˆ=0.728x2+20.213x+179.246 y head equals 10.89 x squared minus 27.97 x yˆ=0.728x2−20.213x+179.246 y head equals 10.89 x squared minus 27.97 x plus 55.87 yˆ=179.246x2−20.213x+0.728 y head equals 10.89 x squared plus 55.87 x x y 4 109 6 88 9 52 15 42 18 50 21 78 23 98
Therefore, the regression equation best fits the data set is yˆ=0.728x2−20.213x+179.246.
What is equation?An equation is a mathematical statement that shows the equality between two expressions. It consists of two sides, the left-hand side and the right-hand side, connected by an equal sign (=). The expressions on either side of the equal sign can be made up of numbers, variables, mathematical operations, and other mathematical symbols. Equations are used to represent various mathematical relationships and can be solved to find the value of one or more variables. Solving an equation involves manipulating the expressions on either side of the equal sign to isolate the variable being solved for. This is often done by applying a series of mathematical operations to both sides of the equation, with the goal of eventually isolating the variable on one side of the equal sign and obtaining a numerical value for it.
Here,
Using a graphing calculator, we can plot the data set of x and y values and use the regression feature to find the quadratic regression equation that best fits the data. Here's how we can do it:
Enter the x and y values into the calculator.
Plot the points on a scatter plot.
Choose the regression feature on the calculator.
Select the quadratic regression option.
The calculator will display the quadratic regression equation that best fits the data.
After performing these steps, we get the following quadratic regression equation:
yˆ=0.728x2−20.213x+179.246
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A bicyclist travelled for T = 1.6 hours at a constant speed of R = 20 kilometers (km) per hour. Use the formula
D = R · T
to find the total distance traveled in kilometers.
Answer: The formula D = R * T relates the distance traveled (D) to the rate of speed (R) and the time elapsed (T). Using the given values, we can substitute R = 20 km/h and T = 1.6 h to find:
D = R * T = 20 km/h * 1.6 h = 32 km
Therefore, the bicyclist traveled a total distance of 32 kilometers.
Step-by-step explanation:
Find domain Range Y-intercept X- intercept Vertical asymptote Horizontal asymptote Pic attached below note write domain and range in interval notation
The domain of the function is (-∝, -3) ∪ (-3, +∝)
The range is (-∝, 3) ∪ (3, +∝) and the asymptotes are x = -3 and y = 3
How to determine the domainFrom the question, we have the following parameters that can be used in our computation:
f(x) = 2/(x + 3) + 3
Set the denominator to not equal to 0
So, we have
x + 3 ≠ 0
So, we have
x ≠ -3
As an interval notation, we have
(-∝, -3) ∪ (-3, +∝)
How to determine the rangeHere, we have
f(x) = 2/(x + 3) + 3
When x = -3, we have
f(-3) = undefined + 3
This means that
f(x) ≠ -3
As an interval notation, we have
(-∝, 3) ∪ (3, +∝)
How to determine the asymptotesIn (a), we have
x ≠ -3
This means that
Vertical asymptote: x = -3
In (b), we have
f(x) ≠ -3
This means that
Horizontal asymptote: y = 3
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There are 12 people in a tennis tournament. Each player must play against every other player. How many games will be played?
Answer:
12 teams means 6 games each match day. Each team can play all the 11 other teams so 11 match days. So 66 games.
5x2 + 2x − 3) − (2x2 − 3x + 7) expressed as a trinomial
The correct answers are
1) 2x^2 + 12
2) Option C.
3) Option B.
1. You must apply the Distributive property as following:
(-5x^2 - 2x +4) + (8x^2 -x -1) - (x^2 -5x + 2x -10)
2. Now, you must distribute the negative sign, then you have:
3. Finally, you must add the like terms. Then you obtain the polynomial:
2x^2 + 13
4. By definition, a polynomial that has two terms is classified as a binomial. Therefore, the answer is the option C.
5. The degree of a polynomial is determined by highest exponent of the variable. So, it is a polynomial of degree 2 (option B).
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) in the first scenario, we still throw balls in n bins, and the probability of a ball landing in each bin is independent and uniformly distributed. however, we are not perfect throwers! there is now a probability of pm that the ball misses all the bins. let x be a random variable for the number of throws until each bin has at least 1 ball. find an expression for e[x], the expected number of throws to fill each bin at least once.
Simplifying this expression, we get: E[X] = n * (1 + (1-pm)/(n-1)) * H_{n-1} where H_{n-1} is the (n-1)th harmonic number.
What is probability ?
Probability can be defined as ratio of number of favourable outcomes and total number of outcomes.
In the first scenario where we have imperfect throwers, the probability that a ball lands in a particular bin is (1-pm)/n, where pm is the probability that the ball misses all the bins. The probability that a ball does not land in a particular bin after k throws is (1- (1-pm)/n)^k.
Let X_i be a random variable representing the number of throws required to fill the ith bin for the first time. We know that X_i follows a geometric distribution with probability of success p_i = (1-pm)/n.
The expected value of X_i is given by:
E[X_i] = 1/p_i = n/(n - (1-pm))
Now, let X be the random variable representing the number of throws required to fill all n bins for the first time. We want to find the expected value of X, denoted as E[X].
Since each bin is being filled independently, the number of throws required to fill all n bins is given by the maximum of the X_i. Therefore, we have:
X = max(X_1, X_2, ..., X_n)
Using the formula for the expected value of the maximum of n independent and identically distributed random variables, we can write:
E[X] = n * E[X_i] - (n-1) * E[X_i, X_j]
where E[X_i, X_j] is the expected value of the minimum of X_i and X_j.
Since the X_i are identically distributed, we have E[X_i, X_j] = E[X_i]^2.
Substituting the value of E[X_i] in the above equation, we get:
E[X] = n * (n / (n - (1-pm))) - (n-1) * (n / (n - (1-pm)))^2
This is the expected number of throws required to fill each bin at least once, accounting for the probability that the balls may miss all bins with probability pm.
Therefore, Simplifying this expression, we get: E[X] = n * (1 + (1-pm)/(n-1)) * H_{n-1} where H_{n-1} is the (n-1)th harmonic number.
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Problems 29,37, and 41
Suppose the age that children learn to walk is normally distributed with mean 12 months and standard deviation 2.2 month. 33 randomly selected people were asked what age they learned to walk. Round all answers to 4 decimal places where possible.
F) Find the IQR for the average first time walking age for groups of 33 people.
Q1=
Q3=
IQR=
The values are Q1 ≈ 11.7375 months, Q3 ≈ 12.2625 months, and range IQR ≈ 0.5250 months.
What is IQR?The IQR for the average first-time walking age for groups of 33 people can be found as follows:
The standard deviation of the sample mean is given by:
σM = σ/√n = 2.2/√33 ≈ 0.3839
Using the standard normal distribution, the z-scores for the first and third quartiles are:
zQ1 = invNorm(0.25) ≈ -0.6745
zQ3 = invNorm(0.75) ≈ 0.6745
The corresponding sample means can be found using:
M = μ ± z(σM)
Where μ = 12, the population mean.
M1 = 12 - 0.6745(0.3839) ≈ 11.7375
M3 = 12 + 0.6745(0.3839) ≈ 12.2625
Therefore, the first quartile Q1 is approximately equal to 11.7375 months and the third quartile Q3 is approximately equal to 12.2625 months.
The IQR is given by:
IQR = Q3 - Q1 = 12.2625 - 11.7375 ≈ 0.5250 months.
Rounding to 4 decimal places gives Q1 ≈ 11.7375 months, Q3 ≈ 12.2625 months, and IQR ≈ 0.5250 months.
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The table values of two linear functions is given below.if they intersect at the point (a,b) what is the value of a+b
-2. - 1. 1. 2.
Answer:
Step-by-step explanation:
Here is a more detailed explanation:
We are given two linear functions, f(x) and g(x), and their values for x = 1 and x = 4:
x f(x) g(x)
1 3 5
4 9 20
To find the value of a + b at the point of intersection (a, b) of the two functions, we need to first find the equations of the two functions. To do this, we need to find the slope and y-intercept of each function.
For f(x), the slope is (9 - 3) / (4 - 1) = 2, and using the point (1, 3) we can find the y-intercept as:
y - 3 = 2(x - 1)
y - 3 = 2x - 2
y = 2x + 1
So the equation of f(x) is y = 2x + 1.
Similarly, for g(x), the slope is (20 - 5) / (4 - 1) = 5, and using the point (1, 5) we can find the y-intercept as:
y - 5 = 5(x - 1)
y - 5 = 5x - 5
y = 5x
So the equation of g(x) is y = 5x.
To find the point of intersection of the two functions, we can set their equations equal to each other and solve for x:
2x + 1 = 5x
3x = 1
x = 1/3
Substituting this value of x back into either equation, we can find the corresponding value of y:
y = 2(1/3) + 1 = 7/3
So the point of intersection is (1/3, 7/3).
Therefore, a + b = 1/3 + 7/3 = 8/3. This is approximately equal to 2.67. The answer closest to this value is -1, so the correct answer is (b) -1.
if a town with a population of 3,000 grows by 2% per year how large will the population be in years use 1.02 to find the population after a year. use exponents to find the answer
Answer:
3000 x 1.02^10 = 3656.98.. = 3656 people
one bowl of sambar is made using 3/4 cup dal . how many bowls of sambar can be made from 6 cups of ?
6 cups of dal may be used to make eight bowls of sambar.
What is ratio?The ratio can be defined as the number that can represent one quantity as a percentage of another. They can be compared only when the two numbers in a ratio have the same unit. Ratios are used to compare two objects.
Given, One bowl of sambar is made the use of 3/four cup dal.
If 1 bowl of sambar is made using 3/4 cup of dal, then the number of bowls of sambar that can be made from 6 cups of dal can be found by dividing 6 cups by 3/4 cup per bowl:
6 cups / (3/4 cup per bowl)
We can simplify by multiplying the numerator and denominator by the reciprocal of 3/4:
6 cups / (3/4 cup per bowl) * (4/3)
Simplifying, we get:
8 bowls
Therefore, 6 cups of dal can be used to make 8 bowls of sambar.
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A sofa regularly sells for $550. The sale price is $456.50. Find the percent decrease of the sale price from the regular price.
To find the percent decrease, we first need to find the amount of the decrease, which is the difference between the regular price and the sale price:
$550 - $456.50 = $93.50
So the amount of the decrease is $93.50.
To find the percent decrease, we divide the amount of the decrease by the original price and then multiply by 100:
($93.50 / $550) x 100 ≈ 17.0%
Therefore, the percent decrease of the sale price from the regular price is approximately 17.0%.
If bulbs are selected one by one until a 23-watt bulb is obtained, what is the probability that it is necessary to examine at least 6 bulbs?.
The probability that it is necessary to examine at least 6 bulbs before obtaining a 23-watt bulb is 9/10 or 0.9 (approximately).
To calculate the probability that it is necessary to examine at least 6 bulbs before obtaining a 23-watt bulb, we can use the complementary probability. That is, we can calculate the probability that a 23-watt bulb is obtained within the first 5 selections and then subtract this from 1 to get the probability that at least 6 bulbs must be examined.
The probability of obtaining a 23-watt bulb on the first selection is 1/50. If a 23-watt bulb is not obtained on the first selection, the probability of obtaining one on the second selection is 49/50 x 1/49 = 1/50.
Similarly, the probability of obtaining a 23-watt bulb on the third, fourth, or fifth selection is also 1/50.
Therefore, the probability of obtaining a 23-watt bulb within the first 5 selections is:
P(23-watt bulb in first 5 selections) = P(23-watt bulb on first selection) + P(23-watt bulb on second selection) + P(23-watt bulb on third selection) + P(23-watt bulb on fourth selection) + P(23-watt bulb on fifth selection)
= 1/50 + 1/50 + 1/50 + 1/50 + 1/50
= 1/10
The probability of needing to examine at least 6 bulbs before obtaining a 23-watt bulb is therefore:
P(need to examine at least 6 bulbs) = 1 - P(23-watt bulb in first 5 selections)
= 1 - 1/10
= 9/10
Therefore, the probability that it is necessary to examine at least 6 bulbs before obtaining a 23-watt bulb is 9/10 or 0.9 (approximately).
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Sara wants to make dinner for herself the recipe she will use calls for 13 1/2 ounces of chopped nuts however the recipe feeds 6 people how many ounces of chopped nuts does Sara need for one serving
Sara need 9/4 ounces of chopped nuts
How to calculate the number of chopped nuts that sara needs?Sara wants to make dinner for herself
The recipe she will use calls for 13 1/2 ounces
The recipe feeds 6 people
The number of ounces of chopped nuts that Sara needs can be calculated as follows
13 1/2
= 27/2 ÷ 6
= 27/2 × 1/6
= 27/12
= 9/4
Hence Sara needs 9/4 ounces of chopped nuts for one serving
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Pippin went to a game room that charged $4 admission, plus $0. 25 per token. The equation which represents his total cost is y = 0. 25x + 4. What are the ordered pairs for the equation when you use these x-values: 5, 10, 20?.
Answer:
5 = $ 5.25. 10= $ 6.50. 20= $9.00
Step-by-step explanation:
if this is wrong you can completely write me a really rude email or message or something