Based on the total costs of buying at the two stores, it is not worth the extra drive going to the store across town.
How are the total costs determined?The total costs for buying 5 pounds of chicken at each store are added to the total gas costs to and from each location to determine the total costs of each option.
Based on the cost difference of $1 ($18.34 - $17.34), it is not advisable to travel across town just for 5 pounds of chicken, especially when you factor in the wear and tear of the car along the distance and the time difference.
The cost of a pound of chicken at a neighborhood store = $2.99
The cost of a pound of chicken at the store across town = $3.29
The number of pounds of chicken required = 5 pounds
The distance to and from the neighborhood store = 4.6 miles (2.3 miles x 2)
The distance to and from the store across town = 17.6 miles (8.8 miles x 2)
The total time to and from the neighborhood store = 14 minutes (7 x 2)
The total time to and from the store across town = 42 minutes (21 x 2)
The time difference = 28 minutes.
Car's mileage per gallon = 19 mpg
The cost of gas per gallon = $3.66
The total cost of buying at the neighborhood store = $17.34 ($3.29 x 5 + $3.66 x 4.6/19)
The total cost of buying at the store across town = $18.34 ($2.99 x 5 + $3.66 x 17.6/19)
Learn more about the total costs at https://brainly.com/question/25109150 and https://brainly.com/question/13661882
#SPJ1
Stephen reduced quadrilateral
A
proportionally.
He made each side 14
1
4
times as long.
Use the drop-down menus to complete the statements below.
2 four-sided shapes of similar proportions, Quadrilateral 1, with dimensions 16, 10, 6, 20; and Quadrilateral B, with dimensions 4, 2.5, 1.5, 5. Right arrow connects both shapes.
CLEAR CHECK
Each side of quadrilateral
A
changed by a factor of .
When quadrilateral
A
was reduced, the size of each angle .
Each side of quadrilateral A changed by a factor of 1/4
When quadrilateral A was reduced the size of each angle remain unchanged
How to know the the factor of which the quadrilateral was reducedThe dimensions of quadrilateral A are 16, 10, 6, 20
The dimensions of quadrilateral B are 4, 2.5, 1.5, 5
comparing the two dimensions
Let the factor be r
4r = 16
r = 16/4
r = 4
2.5r = 10
r = 10/2.5
r = 4
1.5r = 6
r = 6/1.5
r = 4
5r = 20
r = 20/5
r = 4
Therefore we can conclude that quadrilateral B was increased by 4, similarly, quadrilateral A was reduced by a factor of 1/4
16 * 1/4 = 4
10 * 1/4 = 2.5
6 * 1/4 = 1.5
20 * 1/4 = 5
since the reduction are similar quadrilateral A is similar to quadrilateral B
and the size of each angle were not affected
Learn more about scale factor at:
https://brainly.com/question/26855848
#SPJ1
Please can you help me with this question?
1) The estimated probability of patrick flipping a head with his coin is; 0.45
2) The margin of error for Patrick's estimated probability is; 0.218
3) The confidence interval for the chance of flipping a head with his coin is; CI = (0.232, 0.668)
No, the 95% confidence interval does not contain 50% as a probability, so it will be illogical to think that Patrick's lucky coin has a probability different from 0.5
How to find the confidence interval for proportions?We are given;
Number of trials; n = 20
Number of successful outcomes; x = 9
Thus; Proportion; p^ = x/n = 0.45
Now, the formula for the confidence interval of proportions is;
CI = p^ ± z√(p^(1 - p^)/n)
where;
z√(p^(1 - p^)/n) is margin of error
1) Probability of Patrick flipping a head with his lucky coin is;
p^ = x/n = 9/20 = 0.45
2) The margin of error is from the formula;
z√(p^(1 - p^)/n)
z for 95% confidence level is 1.96. Thus'
E = 1.96√(0.45(1 - 0.45)/20)
E = 0.218
3) Confidence interval is;
CI = 0.45 ± 0.218
CI = (0.232, 0.668)
Read more about confidence interval for proportion at; https://brainly.com/question/15712887
#SPJ1
12. The hourly temperatures at Eppley Airfield Airport in Omaha, Nebraska, in May 2014 are approximately normally distributed with a mean of 64.4˚F and a standard deviation of 12.2 ˚F. The z-score of the lowest temperature is −2.49. What is the lowest temperature? Round your result to the one’s place.
The lowest temperature with a z score of of -2.49 is 24.0 ˚F
How to find the temperature with a z score of -2.49Z scores, measures the amount of standard deviation sample X is from mean. the formula is below
z = (X - μ) / σ
Definition of variables
mean, μ = 4.4˚F
standard deviation, σ = 12.2 ˚F
X = lowest temperature
z = -2.49
substituting into the formula
-2.49 = (X - μ) / σ
-2.49 = (X - 64.4) / 12.2
-2.49 * 12.2 = X - 64.4
-30.378 + 64.4 = X
X = 34.022
X = 34.0 (to one decimal place)
Learn more about standard deviation at:
brainly.com/question/28948351
#SPJ1
Two companies A and B are offering 70 and 50 products respectively.
Company A is offering 40 software products and 30 hardware products.
Company B is offering x hardware products and y software products to
be determined.
If a product is selected at random, what is the probability that
(a)This product is a hardware product given that is from company B?
(in terms of y)
(b)This product is a hardware product given that is from company A?
(C) For what values of y will the probability in part (a) be greater than
the probability in part (b)?
The probabilities are given as follows:
a) Hardware product given that it is from company B: (50 - y)/50.
b) Hardware product given that it is from company A: 3/7.
c) The probability in part a is greater than in part B for y < 8.57.
How to calculate the probabilities?A probability is calculated as the division of the number of desired outcomes in the context of the experiment by the number of total outcomes in the context of the experiment.
For item a, the outcomes are given as follows:
Desired: 50 - y hardware products.Total: 50 products.Hence the probability is of:
p = (50 - y)/50.
For item b, the outcomes are given as follows:
Desired: 30 hardware products.Total: 70 products.Hence the probability is of:
30/70 = 3/7.
The inequality for item c is given as follows:
(50 - y)/50 > 3/7
Applying cross multiplication, the solution is obtained as follows:
7(50 - y) > 3(50)
210 - 7y > 150
-7y > -60
7y < 60
y < 60/7
y < 8.57.
More can be learned about probabilities at https://brainly.com/question/14398287
#SPJ1
How do you find the circumcenter and Incenter of a triangle?
The circumcenter and Incenter of a triangle can be found this way :
Finding the incenter
The junction of a triangle's three angle bisectors is where you may locate its incenter. The incenter has an intriguing attribute as a result of its position: it is equally removed from each of the triangle's three sides. This feature is unique to this point. Like centroids, incenters are always contained within their triangles.
Two triangles are depicted in the above image along with their incenters and incircles (circles drawn inside the triangles so the circles barely touch the sides of each triangle). The incircles' centers are known as the incenters. (If you want to fit in with the in-crowd, don't talk about this "in" stuff too much.)
Finding the circumcenter
The point where the perpendicular bisectors of the triangle's sides meet is the triangle's circumcenter. Due to its position, the circumcenter has an intriguing property: it is equally removed from each of the triangle's three vertices.
In the illustration above, two triangles are shown along with their circumcenters and circumcircles (circles drawn around the triangles so that they pass through the vertices of each triangle). The centers of the circumcircles are known as the circumcenters.
To learn more about circumcenter click here:
brainly.com/question/16276899
#SPJ4
Gloria is preparing to visit her grandmother in Florida and needs to buy some new clothes for the trip. She buys 3 t shirts and pays $48
How much would she pay for 1 t shirt?
How much would she pay for 5 t shirts?
Answer:
Step-by-step explanation: How much is 1 t shirt
The admission fee at a local zoo is $1.50 for children and $5.00 for adults. On a certain day, 3700
people enter the zoo and
$11, 500.00 is collected. How many children and how many adults
attended?
How many children attended?
How many adults attended?
What is the congruent of SAS?
Answer:
According to the SAS ( Side Angle Side ) rule, two triangles are said to be congruent if any two sides and any angle between the sides of one triangle are equal to the equivalent two sides and angle between the sides of the other triangle.
Step-by-step explanation:
What is congruent Figure ?Two figures are said to be "congruent" if they can be placed exactly over one another.
According to the SAS ( Side Angle Side ) rule, two triangles are said to be congruent if any two sides and any angle between the sides of one triangle are equal to the equivalent two sides and angle between the sides of the other triangle.
To know more about SAS Congruence
https://brainly.ph/question/13809098
#SPJ4
write to show how you make a ten then add
A method for deriving facts is to multiply by 10 or to add using 10. This means that before using the make-ten strategy, kids need to know some facts by hear. Use of a make 10 strategy requires knowing that 8+2=10 and 9+1=10. In order to use the make 10 strategy, add 8 and 5, then decompose 5 into 2 and 3.
Addition:
The act of combining two or more items is known as addition. The process of computing the sum of two or more numbers in mathematics is called addition. It is a fundamental mathematical procedure that is frequently used in daily life. When we work with money, figure out our food bills, or figure out the time, we frequently employ addition. One-digit numbers can be added simply for solving addition problems, however for bigger numbers, we divide the numbers into columns using their corresponding place values, such as ones, tens, hundreds, thousands, and so on.
To learn more about addition visit: https://brainly.com/question/680614
#SPJ4
y=3x-7 how do i graph it using form y=mx
Answer: See attached.
Step-by-step explanation:
This slope-intercept form equation shows us that there is a y-intercept of -7. This means that (0, -7) will be a point on the line. Next, we have a slope of positive 3. This means we will count up three units, right one unit, plot a point. Then we repeat.
Answer:
start at the y-intercept, plot some points using the slope, then connect them using a straight line.
Step-by-step explanation:
Slope-Intercept FormGenerally you'll have an equation in slope-intercept form, which is denoted as: [tex]y=mx+b[/tex]
This is a really useful form for a couple of reasons, and it has two key features. Firstly, the "m" represents the slope of the linear equation.
This makes sense the definition of slope is: [tex]\frac{\text{change in y}}{\text{change in x}}[/tex]
and we can generally define the points:
[tex]\text{at x = 1, y = }m(1)+b\implies m+b\\\text{at x = 2, y = } m(2)+b\implies m + m + b\\\text{at x = 3, y = }m(3) + b\implies m + m + m +b\\\text{and so on...}[/tex]
as the x value increases by 1, the change in y is the "m" value, we have one more "m" than the previous x-value, so the slope is the "m" value, which is the coefficient of the x variable.
The second key feature of slope-intercept form is the y-intercept, which is represented as "b" in this form. This also makes sense because the y-intercept is simply when the x-value is zero, and if you plug in x=0 into the equation, you're only left with the "b" value
Graphing the EquationKnowing these two things we can analyze the equation given:
[tex]y = 3x-7[/tex]
since it's given in slope-intercept form, we know that slope = 3, and y-intercept = -7. We immediately know one point, which is the y-intercept, since the x-value is going to be zero at the y-intercept, so one point on the graph is: (0, -7)
now from this point we can draw the graph by going to the right one, and up three, by definition of a slope (as x increases by 1, the y-value increases by 3).
We can do something similar on the left side, except instead of right one and up three, we go left one, and down three. You may be asking why down three? Well as you go right one, you go up three, this means if you compare the previous point to the new point, the previous point is down three compared to the new point (which is to the right one), so if you were to go back, you would be going left one and down three.
Now from these points you can do the same thing to extend the line a bit, and since it's a linear equation you can connect them using a straight line.
I also attached a graph from desmos to illustrate what I was saying a bit and also show the graph.
What theorem states that if the two legs of one right triangle are congruent to two legs of another right triangle then the two right triangles are congruent?
The hypotenuse leg theorem states that two right triangles are congruent if the hypotenuse and one leg of one right triangle are congruent to the other right triangle's hypotenuse and leg side.
What is the hypotenuse leg theorem?
The hypotenuse leg theorem states that two right triangles are congruent if the hypotenuse and one leg of one right triangle are congruent to the other right triangle's hypotenuse and leg side.
The HL Postulate states that if the hypotenuse and leg of one right triangle are congruent to the hypotenuse and leg of another right triangle, then the two triangles are congruent.
Hypotenuse-Leg (HL) for Right Triangles. There is one case where SSA is valid, and that is when the angles are right angles. In words, if the hypotenuse and a leg of one right triangle are congruent to the hypotenuse and a leg of a second right triangle, then the triangles are congruent.
Hence, if the hypotenuse leg theorem states that two right triangles are congruent if the hypotenuse and one leg of one right triangle are congruent to the other right triangle's hypotenuse and leg side.
To learn more about the hypotenuse leg theorem visit,
brainly.com/question/29548827
#SPJ4
A
What is the algebraic expression for
"the quotient of an unknown
quantity and three"?
n/3
B
n-3
C
n.3
Answer: A
Step-by-step explanation:
The quotient is the result of the division between two numbers.
Answer:
n/3
Step-by-step explanation:
When you divide you get a quotient.
n divided by 3 will equal a quotient.
What is the sum of 2 5 and 1/4 in fraction?
how to find the degree of a polynomial in factored form
The degree of a polynomial in factored form is the number of zeros or roots of that polynomial.
Given:
Degree of a polynomial:
Degree is the highest or the greatest power of a variable in a polynomial equation.
ex : 2x^2 + 2xy^2
Degree = 3
Degree of a polynomial in factored form:
Degree of a polynomial in factored form is the number of zeros or roots of that polynomial.
Example:
= (x-1) (x-2) (x-3)
number of roots = 3
Degree = 3
= (y-5)(y+3/2)(y-4)(y+1)
number of roots = 4
Degree = 4
Learn more about the polynomial here:
https://brainly.com/question/20121808
#SPJ4
Can fractions be equivalent if
they have different denominators.
How so? (Give
Give an Exempla
or explain
to show your reasoning.)
Answer: Equivalent fractions are two or more fractions that are all equal even though they have different numerators and denominators. For example, the fraction 1/2 is equivalent to (or the same as) 25/50 or 500/1000.
*(This is not my work)*
Step-by-step explanation:
If the speed of sound is 344 meters per second, what is the approximate speed of sound, in meters per hour?
60 seconds 1 minute
60 minutes
1 hour
1) 20,640
2) 41,280
3) 123,840
4) 1,238,400
someone pls help me m = -0.5d + 5
Answer:
Step-by-step explanation:
1) Subtract 5 from both sides.
[tex]m-5=-0.5d[/tex]
2) Divide both sides by -0.5.
[tex]-\frac{m-5}{0.5} =d[/tex]
3) Switch sides.
[tex]d=-\frac{m-5}{0.5}[/tex]
Thank you,
Eddie
¿cuál es el área en cm² de la base de un prisma que tiene una altura de 51 cm y un
volumen de 245,8 cm³?
Respuesta:
On solving the given question, we got Area of the base prism = bh/2 = (4.819 X 51)/2 = 122.89 cm2
What is a prism?A prism is a polyhedron in geometry that has an n-sided polygonal basis, a second base that is a shifted version of the first base, and n additional faces—necessarily all parallelograms. Connect the matching sides of the two bases.
h = 51 cm
a = 2cm
therefore,
volume of a Triangular Prism = (½) abh cubic cm
245.8 = [tex]\frac{1}{2}[/tex] X 2 X b X 51
[tex]= > b = \frac{245.8 X 2}{2 X 51}[/tex]
[tex]= > b = \frac{491.6}{102}[/tex]
[tex]= > b = 4.819[/tex]
Now Area of base of prism
Area of the base prism = bh/2 = (4.819 X 51)/2 = 122.89 cm2
To know more about prism visit:
https://brainly.com/question/12649592
#SPJ4
What does an exponential decay model look like?
Exponential decay graph looks like see the given image attached.
What is exponential decay?The process of diminishing an amount by a constant percentage rate over time is known in mathematics as exponential decay. The quantity drops gradually, followed by a dramatic decline in the rate of change and growth over time.
A linear function reduces the original number by the same amount each time, but exponential decay reduces the original amount by a constant percentage over time. Exponential decay differs from linear decay in this way: the decay factor depends on a percentage of the original quantity.
The exponential decay formula is used to determine this decline in growth.
Formula of exponential decay is given by
Its graph is given by
For more information on exponential decay follow link:
https://brainly.com/question/11750120
#SPJ4
4x+8y-3z=1 -5x-2y+6z=-6 9x+3y-10z=10
Determine the rate of change.
The rate of change of the table is -500
How to determine the average rate of changeThe average rate of change of a function, graph, table or ordered pair is simply the slope of the relation
The function is represented by the table of values
The interval of the function are the x values
So, we make use of x values
x = 0 and x = 2
Start by calculating f(0) and f(2)
From the table, we have
f(0) = 30000
f(2) = 29000
So, the average rate over these intervals is calculated as:
Average rate = [f(2) - f(0)]/[2 - 0]
Substitute known values
Average rate = [30000 - 29000]/[0 - 2]
Simplify
Average rate = -500
Hence, the rate of change is -500
Read more about average rate of change at:
brainly.com/question/8728504
#SPJ1
The prices of two radios are in the ratio x : y
When the prices are both increased by £20, the ratio becomes 5:2
When the prices are both reduced by £5, the ratio becomes 5:1
Express the ratio x : y in its lowest terms.
Prices of two ratios in the ratio is 4 : 1.
What do you mean by ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
Ratios can be classified into two types. One is part to part ratio and the other is part to whole ratio. The part-to-part ratio denotes how two distinct entities or groups are related.
For example, the ratio of boys to girls in a class is 12: 15, whereas, the part-to-whole ratio denotes the relationship between a specific group to a whole.
For example, out of every 10 people, 5 of them like to read books. Therefore, the part to the whole ratio is 5: 10, which means every 5 people from 10 people like to read books.
Let us assume price of radios are x and y
According to the question
[tex]\frac{x + 20}{y+20} =\frac{5}{2}\\2x+40=5y+100\\2x-5y=60[/tex]-------------------------- eq(1)
and
[tex]\frac{x-5}{y-5} =\frac{5}{1}\\5y-x = 20[/tex]
5y-x = 20
multiplying this equation by 2
we get
10y-2x = 40 ------------------ eq(2)
adding eq 1 and 2
we get
5y=100
y=20
solving further we get x=80
Thus the ratio is 4 : 1.
Learn more about ratio from the link below
https://brainly.com/question/13419413
#SPJ9
NEED HELP ASAP!!!!
A sample of 600 g of radioactive lead-210 decays to polonium-210 according to the function A(t) = 600e ^-0.032t, where t is time in years. Find the amount of radioactive lead remaining after
(a) 4yr
(b) 8 yr
(c) 10yr
(d) find the half-tie
round to the nearest integer as needed.
The amount of radioactive lead remaining after 4 years, 8 years, and 20 years will be 527.91, 464.48, and 435.69, respectively. And the half-life is 21.66 years.
What is an exponent?Let a be the initial value and x be the power of the exponent function and b be the increasing factor.
The exponent is given as
y = a(b)ˣ
An example of 600 g of radioactive lead-210 rots to polonium-210 as per the capability [tex]\rm A(t) = 600 \times e ^{-0.032t}[/tex], where t is time in years.
The amount of radioactive lead remaining after 4 years is given as,
[tex]\rm A(4) = 600 \times e ^{-0.032\times 4}[/tex]
A(4) = 527.91
The amount of radioactive lead remaining after 8 years is given as,
[tex]\rm A(8) = 600 \times e ^{-0.032\times 8}[/tex]
A(8) = 464.48
The amount of radioactive lead remaining after 10 years is given as,
[tex]\rm A(10) = 600 \times e ^{-0.032\times 10}[/tex]
A(10) = 435.69
The half-life is calculated as,
[tex]\rm 300 = 600 \times e ^{-0.032\times t}[/tex]
-0.032t = ln (1/2)
0.032t = -0.693
t = 21.66 years
The amount of radioactive lead remaining after 4 years, 8 years, and 20 years will be 527.91, 464.48, and 435.69, respectively. And the half-life is 21.66 years.
More about the exponent link is given below.
https://brainly.com/question/5497425
#SPJ1
graph the exponential function y52x
The graph of exponential function y = 5.2^x
exponential function in the form y = ab^x + c
Exponential function:
An exponential function is a mathematical function of the following form: f ( x ) = a^x. where x is also a variable, and a is a constant called the base of the function.
where
a is the initial y - intercept.
b is the constant ratio.
c is the horizontal asymptote.
So, in this problem, we have:
constant ratio = 2
y-intercept at y = 5
horizontal asymptote at y = 0
The graph is in the image uploaded.
Learn more about the graph here:
https://brainly.com/question/17267403
#SPJ4
WILL GIVE LOTS OF POINTS NEED HELP ASAP
If ABC = PQR and ABC = 3x - 5 while PQR = 2x + 5, first find the value of x and then find the value of each angle.
yes
Step-by-step explanation:
5
Select the correct answer.
Which exponential equation is equivalent to this logarithmic equation?
log^5 x - log^5 25 = 7
Answer:
[tex]\textsf{D.} \quad 5^9=x[/tex]
Step-by-step explanation:
Given logarithmic equation:
[tex]\log_5x-\log_525=7[/tex]
[tex]\textsf{Apply the quotient log law}: \quad log_ax - \log_ay=\log_a \left(\dfrac{x}{y}\right)[/tex]
[tex]\implies \log_5\left(\dfrac{x}{25}\right)=7[/tex]
[tex]\textsf{Apply log law}: \quad \log_ab=c \iff a^c=b[/tex]
[tex]\implies 5^7=\dfrac{x}{25}[/tex]
Multiply both sides by 25:
[tex]\implies 25 \cdot 5^7=x[/tex]
Rewrite 5 as 5²:
[tex]\implies 5^2 \cdot 5^7=x[/tex]
[tex]\textsf{Apply exponent rule}: \quad a^b \cdot a^c=a^{b+c}[/tex]
[tex]\implies 5^{2+7}=x[/tex]
[tex]\implies 5^9=x[/tex]
A manufacturer makes a lotion that contains 20 drops of lavender oil and 8 teaspoons of jojoba oil. There are 50 drops of lavender and 20
teaspoons of jojoba oil. Determine if the amount of lavender oil y is proportional to the amount of jojoba oil x by graphing the relationship on a
coordinate plane on paper. The relationship Select Choice proportional because the graph Select Choice a straight line through the
origin.
The amount of lavender oil y is proportional to the amount of jojoba oil x
What is proportionality?Two quantities are said to be linearly proportionate if change in one quantity produce proportionate amount of change in the other quantity, or the ratio of the two quantities is fixed.
Given,
In the first case, 20 drops of lavender oil and 8 teaspoons of jojoba oil.
In second case, 50 drops of lavender and 20 teaspoons of jojoba oil.
Ratio in first case:
x:y = 20:8
= 5:2
Ratio in second case:
x:y = 50:20
= 5:2
Since ratio is fixed in both the cases, the amount of lavender oil y is proportional to the amount of jojoba oil x.
To learn more about proportionality visit:
https://brainly.com/question/8598338
#SPJ1
The graph of a piecewise function, f(x), is depicted above. Find its equation:
The function of piecewise graph shown in the figure is,
f(x) = {y = 6 for x < -5
{ [tex]y = -\frac{19}{9}x-\frac{5}{9}[/tex] for -5 ≤x < 5
{ y = 8/5x -14 for x ≥ 5
What is piecewise function?
A piecewise-defined function in mathematics is a function with several sub functions, each of which has a certain interval in the domain for which it is applicable. Piecewise definition is a method of expressing the function, not a property of the function.
From graph we can see that the first function is a line y = 6
Hence, f(x) = {y = 6 for x < -5}
Now to find the equation of second function.
From graph we get two points (-5, 10) and (4, -9).
First to find the slope
[tex]m = \frac{-9-10}{4+5} = \frac{-19}{9}[/tex]
Now to find the equation of line, using slope point form
[tex]y - 10 = \frac{-19}{9} (x-(-5))\\y-10=-\frac{19}{9}x-\frac{95}{9} \\ y=-\frac{19}{9}x-\frac{95}{9} + 10\\y = -\frac{19}{9}x -\frac{5}{9}[/tex]
So, f(x) = { [tex]y= -\frac{19}{9}x-\frac{9}{5}[/tex], for -5 ≤ x < 5}
Now to find the equation of third line.
From graph we get two points (5, -6) and (10, 2).
First to find the slope of the line
[tex]m = \frac{2-(-6)}{10-5} = \frac{8}{5}[/tex]
Now to find the equation of line, using slope point form
[tex]y-(-6)=\frac{8}{5}(x-5)\\ y+6=\frac{8}{5}x-8\\ y = \frac{8}{5}x - 14[/tex]
So, f(x) = {[tex]y = \frac{8}{5}x-14[/tex], for x ≥ 5}.
To know more about piecewise function, click on the link
https://brainly.com/question/27262465
#SPJ4
How do you interpret the graph?
a. The motion of the bus in each part is given as follows:
Part 1: Going with non-uniform acceleration.Part 2: Stopped.Part 3: Going with non-uniform acceleration.Part 4: Stopped.Part 5: Returning home, with non-uniform acceleration.b. The graph is classified as follows:
Increasing: Part 1 and Part 3.Constant: Part 2 and Part 4.Decreasing: Part 5.c. The graph is non-linear.
What is the graph?The relation graphed is defined as follows:
Distance x time -> distance as a function of time.
The origin on the graph is the point that the Bus starts and then returns, at the end of the part 5.
Then the graph is also non-linear, as the position changes without linearity, meaning that the acceleration is not uniform.
More can be learned about functions at https://brainly.com/question/24808124
#SPJ1
A radio is bought at 550 and sold at a profit of 35. What is the selling price?
The selling price of the radio with a cost price of 550 and sold at a profit of 35 is 585.
What is selling price?The selling price is how much a buyer pays for a product or service.
To calculate the selling price of the radio, we use the formula below.
Formula:
S.P = C.P+Profit............ Equation 1Where:
S.P = Selling Price of the radioC.P = Cost price of the radioFrom the question,
Given:
C.P = 550Profit = 35Substitute these values into equation 1
S.P = 550+35S.P = 585.Hence, the selling price of the radio is 585.
Learn more about selling price here: https://brainly.com/question/19673462
#SPJ1
