Step 01:
Data:
Step 02:
equation of the line:
The profit y (in dollars) for a business from selling x coats is represented by y=56x . Graph the equation.
Answer:
The graph of the equation is also attached.
From the graph, it is clear that at x = 0, the value of y = 0
Hence, the line passes through the origin with the y-intercept 0.
Step-by-step explanation:
The slope-intercept form of the line equation
\(y = mx+b\)
where
m is the slopeb is the y-interceptGiven that the profit y (in dollars) for a business from selling x coats is represented by the equation
\(y=56x\)
comparing with the slope-intercept form of the line equation
m = 56
Determining the y-intercept
We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.
substitute x = 0 in the equation
y = 56(0)
y = 0
Thus, the y-intercept b = 1
Thus,
The equation y = 5x has:
The slope m = 56The y-intercept b = 1The graph of the equation is also attached.
From the graph, it is clear that at x = 0, the value of y = 0
Hence, the line passes through the origin with the y-intercept 0.
Using the given information, find the mean, median, and mode.
To calculate the mean, median, and mode, we first need to know what each of these terms represents. The mean, also known as the average, is the sum of all the values divided by the total number of values. To find the mean, add up all of the values and divide by the number of values. The median is the middle value in a set of data when it is arranged in order from least to greatest. The mode is the value that occurs most frequently in a set of data. Here's an example to illustrate these concepts:
Let's say we have a set of data consisting of the following values: 2, 5, 5, 7, 8, 10, 12. To find the mean, we add up all of the values and divide by the number of values. In this case, the sum of the values is 49 (2+5+5+7+8+10+12) and there are 7 values, so we divide 49 by 7 to get the mean, which is approximately 7. To find the median, we first need to arrange the data in order from least to greatest: 2, 5, 5, 7, 8, 10, 12. The middle value is 7, so that is the median. To find the mode, we look for the value that occurs most frequently. In this case, 5 occurs twice, which is more than any other value, so the mode is 5.
In conclusion, the mean, median, and mode are all measures of central tendency that can be used to describe a set of data. The mean is the average value, the median is the middle value, and the mode is the value that occurs most frequently. When calculating these measures, it is important to carefully consider the data and choose the appropriate method for finding each value.
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Why does the graph look like a series of steps rather than a smooth curve? Why is a hollow circle needed at the beginning of each step(except the first)?
Answer:
the cost function is defined as a step function
Step-by-step explanation:
You want to know why a cost graph has steps.
Cost StepsIn the US, current first class postage rates for appropriately sized envelopes are 60¢ for the first ounce, and 24¢ for each additional ounce.
Envelopes below a certain weight cannot be mailed, and above that minimum (up to at most one ounce), the cost will be 60¢. That is, the first step is at cost=60¢, and extends from some minimum weight up to 1 ounce at that cost.
Above one ounce -- even very slightly above, the cost is 84¢. There is no weight where the cost is 61¢ or 62¢ or any other number between 60¢ and 84¢.
For the purpose of determining cost, the weight is rounded up to the next higher ounce. This guarantees that cost values will be a discrete set of values.
Continuous weightsThe weight can take on any real value. This is reflected in the continuous horizontal line at each level of cost.
The hollow circle at 1 ounce on the second step means that the cost for one ounce is not the value of that second step. The filled circle indicates the cost for one ounce is the value of the first step. The hollow circle also indicates that weights arbitrarily close to 1 ounce, but greater, will cost the same as for 2 ounces.
__
Additional comment
The minimum weight envelope that can be mailed first class will be a function of its size. Outside a certain size and weight range, the envelope will not be "machinable," so will incur an extra charge.
Find an equation of the sphere with center (2,-6,4) and radius 5.
Describe its intersection with each of the coordinate planes.
The equation of a sphere with center (a, b, c) and radius r is given by:
\((x - a)^2 + (y - b)^2 + (z - c)^2 = r^2\)
Given the center (2,-6,4) and radius 5, we can substitute these values into the equation to find the equation of the sphere:
\((x - 2)^2 + (y + 6)^2 + (z - 4)^2 = 5^2\)
So, the equation of the sphere is:
\((x-2)^2 + (y+6)^2 + (z-4)^2 = 25\)
The sphere will intersect each of the coordinate planes in circles.
Intersection with the XY-plane:
The sphere intersects the XY-plane when z = 4.
Then, the equation of the circle on the XY-plane is \((x-2)^2 + (y+6)^2 = 5^2\)
Intersection with the XZ-plane:
The sphere intersects the XZ-plane when y = -6.
Then, the equation of the circle on the XZ-plane is \((x-2)^2 + (z-4)^2 = 5^2\)
Intersection with the YZ-plane:
The sphere intersects the YZ-plane when x = 2.
Then, the equation of the circle on the YZ-plane is \((y+6)^2 + (z-4)^2 = 5^2\)
The sphere with center (2,-6,4) and radius 5 intersects each of the coordinate planes at circles.
These circles are defined by the equations \((x-2)^2 + (y+6)^2 = 25\) on the XY-plane, \((x-2)^2 + (z-4)^2 = 25\) on the XZ-plane, and \((y+6)^2 + (z-4)^2 = 25\) on the YZ-plane.
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You are going to Wal-Mart to buy DVD's. The DVD'sare packaged in a box. There are thirty five DVDs in the box. You only want five. The box cost forty-five dollars. How much did you pay? How much change do you get back if you pay with fifty dollars? Explain the order of operations that was used.
Answer:
574.94
Step-by-step explanation:
walmart
Triangle B is the same shape as Triangle A with a scale factor of ſ. That means each side length is the side length of Triangle A. The perimeter of Triangle B is 30 cm.
Use the diagrams to help you write an equation to find the side lengths of Triangle A.
Answer:
that description is already wrong. you must have mistyped something here. please read your own problem description again and then try again. if each side length of triangle B is the side length of triangle A, then they do not only share the same shape (= angles), but they are identical, and the scale factor is simply 1.
I think what you mean is that every side length of B correlates to the side lengths of A by the factor f.
Step-by-step explanation:
what that means :
side a of A = f × side a of B
side b of A = f x side b of B
side c of A = f x side c of B
perimeter of A = f x perimeter of B
for any more details there has to be more information.
The spinner below shows 5 equally sized slices. Mal spun the dial 1000 times and got the following results.
Outcome White Grey Black
Number of Spins 389 406 205
Fill in the table below. Round your answers to the nearest thousandth.
The experimental probability that the next spin falls in a black region is given as follows:
0.205 = 20.5%.
How to calculate a probability?A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.
205 out of the previous 1000 trials fell in the black region, hence the experimental probability is given as follows:
p = 205/1000
p = 0.205.
p = 20.5%.
Missing InformationThe problem asks for the experimental probability that the next spin falls in a black region.
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If 3 apple cost $4 , how much would one apple cost? Round to the nearest cent
Answer:
$1.33
Step-by-step explanation:
If 3 apple cost $4. Then the cost of one apple will be $1.33 per apple.
What are ratio and proportion?A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.
If 3 apple cost $4.
Then the cost of the one apple will be given by the quotient of 4 and 3.
Then the price of one apple will be
⇒ $4/3
⇒$1.33 per apple
Thus, the cost of one apple will be $1.33 per apple.
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Ahmad and Dante wash cars in the neighborhood and charge $5 per car. Last year, they worked very hard and were able to wash 450 cars in the year. They have done a little market research and found that for every $0.20 that the price is reduced, they can get 50 more customers.
1. b. If they decreased the price by $0.20 how much would they earn?
The amount earned if they decreased the price by $0.20 will be $2400.
How to calculate the value?From the information, they found that for every $0.20 that the price is reduced, they can get 50 more customers.
The amount earned if they decreased the price by $0.20 will be:
= ($5 - $0.20) × (450 + 50)
= $4.80 × 500
= $2400
Therefore, the amount is $2400.
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Refer to the pie graph that shows the world’s languages and the percentages of the population that speak them.
What percentage of the world’s population does not speak either French or German?
By answering the above question, we may state that Hence, neither expressions French nor German are spoken by nearly 97.7% of the world's population.
what is expression ?In mathematics, you can multiply, divide, add, or take away. The following is how an expression is put together: Numeric value, expression, and math operator The elements of a mathematical expression include numbers, parameters, and functions. It is feasible to use contrasting words and expressions. Any mathematical statement containing variables, numbers, and a mathematical action between them is known as an expression, often known as an algebraic expression. As an example, the expression 4m + 5 is composed of the expressions 4m and 5, as well as the variable m from the above equation, which are all separated by the mathematical symbol +.
In the image you included, a pie chart illustrating the distribution of the global languages spoken by the entire population can be seen.
We need to figure out what portion of the world's population does not speak either French or German in order to respond to your query.
Around 1.2% of the world's population speaks French, according to the pie chart, and 1.1% speaks German, according to the same data.
Hence, it is possible to determine the proportion of people on Earth who do not speak either French or German as follows:
German: 1.1%; French: 1.2%; 100% = 97.7%
Hence, neither French nor German are spoken by nearly 97.7% of the world's population.
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A firm’s profit increased from 2020 to 2021 by 20%, but it decreased by 17% from
2021 to 2022. Which of the years 2020 and 2022 had the higher profit
Answer:
Step-by-step explanation:
Let the profit in 2020 be P.
The profit in 2021 would then be 1.20P (20% increase).
The profit in 2022 would be 0.83(1.20P) = 0.996P (17% decrease from 2021).
We can see that the profit in 2020 was P, while the profit in 2022 was less than P (0.996P).
Therefore, the higher profit was in 2020.
The solution is, the higher profit was in 2020.
What is percentage?A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.
here, we have,
Let the profit in 2020 be P.
The profit in 2021 would then be 1.20P (20% increase).
The profit in 2022 would be 0.83(1.20P) = 0.996P (17% decrease from 2021).
We can see that the profit in 2020 was P, while the profit in 2022 was less than P (0.996P).
Therefore, the higher profit was in 2020.
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Find the missing value to the nearest hundredth. cos (______) = 3/7
Answer:
64.62
Step-by-step explanation:
\(cos(x)^{-1} = \frac{3}{7}\)
Solve for b.
r=(4+b)m
Answer:
the answer is b= r/m - 4
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
The expression r = (4 + b)m can be solved for b and b = (r - 4m)/m after simplification.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
We have an expression:
r = (4 + b)m
To solve for b make the subject b
Divide both sides by m; m ≠ 0
r/m = 4 + b
b = r/m - 4
b = (r - 4m)/m
Thus, the expression r = (4 + b)m can be solved for b and b = (r - 4m)/m after simplification.
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An equation is shown below.
2-3x = 8
Which of the following shows a model of the equation and the value of x that makes the equation true?
How would you solve it
Answer:
Step-by-step explanation:
NEED HELP ASAP WILL GHVE BRAINLEST AND TONS OF POINTS
The value of the missing part of the triangle such as PR and ST = 8 and 5 respectively
How to calculate the value of the missing sides of the given triangle?Triangle PQS is congruent with triangle PRS
Therefore, PQ = PR
That is;
PQ = 8
PR = 2x
8 = 2x
X = 8/2 = 4
PR = 2(4) = 8
For ST;
Triangle VST = VUT
That is, TU = ST
ST = 5z
TU = 2z+3
5z = 2z+3
5z+2z = 3
z= 3/3 = 1
ST = 5(1) = 5
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Samantha is buying a bike for $290. If sales tax is 6.4%, how much will be added to the price of the bike?
Answer:
18.56
Step-by-step explanation:
6.4% of 290 is 18.56
you find this by multiplying 290 by 0.064 (which is the decimal form of 6.4%)
simplify: 18 + 7 / 10 -16 +26 /6
A. -25 /6
B. -5 / 6
C. 5 / 6
D. 25 / 6
The simplified form is 18 + 7 / 10 -16 +26 /6 is mathematically given as
-9/2
This is further explained below.
What is the simplified form is 18 + 7 / 10 -16 +26 /6 ?Generally, the equation for the expression is mathematically given as
\(\frac{ 18 + 7}{ 10} -\frac{16 +26}{6}\)
Therefore
Add 18 and 7.
\(\frac{25}{10}-\frac{16+26}{6}\)
\($\frac{5}{2}-7$\)
To write -7 as a fraction with a common denominator, multiply by 2/2.
\(\frac{5}{2}-7 \cdot \frac{2}{2}\)
Combine -7 and 2/2
\(\frac{5}{2}+\frac{-7 \cdot 2}{2}\)
Combine the numerators over the common denominator.
\(\frac{5-7 \cdot 2}{2}\)
Simplify the numerator.
-9/2
Move the negative in front of the fraction.
Decimal Form:
-4.5
In conclusion, The simplified for is 18 + 7 / 10 -16 +26 /6
-9/2
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Find x in the diagram below
The value of the angle x is 30 degrees
How to determine the valueTo determine the value of the variable x, we need to know the triangle sum theorem.
The triangle sum theorem is a theorem in mathematics stating that the sum total of the interior angles in a triangle is equivalent to 180 degrees.
We should also note that angle at right angle is 90 degrees
Then, we have the angles written as;
90 degrees
2x degrees
x degrees
Equate the angles , we have;
2x + x + 90 = 180
collect the like terms, we have;
2x + x = 180 - 90
add or subtract the like terms, we have;
3x = 90
divide by the coefficient
x = 30
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Use the graph to answer the question.
Determine the translation used to create the image.
A. 7 units to the right
B. 7 units to the left
C. 3 units to the right
D. 3 units to the left
The correct option is A, we have a translation of 7 units to the right.-
How to determine the translation?To find it, we need to analyze two correspondent vertices.
We can see that vertex A is at (1, 5), while the correspondent vertex A' is at (8, 5)
Taking the difference between that, we will get:
A' - A = (8, 5) - (1, 5) = (8 - 1, 5 - 5) = (7, 0)
The first value gives the horizontal translation and the second the vertical one
So,we have a translation of 7 units to the right, the correct option is A.
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i need help on this stuck on it
Answer:
5=148 and 8=32
Step-by-step explanation:
For this equation we know since the lines are parelle that they will produce the same angle degrees.
so 2,4,6,and 8 are all 32
if we subtract 180 (the dregree of a stright line) from 32 we get 148
so 148 is for 1,3,5, and 7
A bag contains 3 green marbles and 5 white marbles. Paul picks a marble at random from the
bag and does not put it back in the bag. He then picks another marble from the bag.
a. Construct a probability tree of the problem.
A probability tree is a visual representation of the possible outcomes of an event or series of events. In this case, the event takes a marble out of the bag.
How to create the tree?The first step in building a probability tree is to create a starting point that represents the first state of the problem. In this case, the starting point is a bag containing 3 green marbles and 5 white marbles.
The next step is to branch from the starting point and show the possible results of the first event. This includes taking out the marble out of the bag. The probability of getting a green marble is 3/8 and the probability of getting a white marble is 5/8.
After the first event, the issue status changes. In this case, the bag contains 2 green marbles and 4 white marbles.
The next step is to branch out from the state after the first event and show the possible outcomes of his second event involving pulling another marble out of his pocket. The probability of getting a green marble is 2/6 and the probability of getting a white marble is 4/6. The final step is to label the endpoints of the tree with the possible outcomes of the problem and the probabilities of each outcome.
The probability tree starts with an sack of 3 green marbles and 5 white marbles, as shown in the design showing the possible outcomes of selecting a marble, the new state of the sack after each selection, and the probability of each outcome
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10. The steps to solve 1 < 3x +5
Answer:
-1.33333 < x
Step-by-step explanation:
subtract 5 from both sides
get -4<3x
divde 3 by both sides
-1.33< x
Hi, there!
_______
The first step is:
» Subtract both sides by 5
\(\sf{-4 < 3x}\)
Now divide each term by 3:
\(\sf{-\dfrac{4}{3} < x}\)
We can flip it over:
\(\sf{x > -\dfrac{4}{3}}\)
Hope the answer - and explanation - made sense,
happy studying!!
Question 2 of 5
Which two ratios represent quantities that are proportional?
O A. 1 and
10
B.
56
64
and
36
48
14
c. and
and 12
D.
Answer:
B
Step-by-step explanation:
Identify the range of y = x² - 2x - 3 if the domain is all real numbers.
The range of this quadratic function y = x² - 2x - 3 is all real numbers greater than 2.
What is the domain and range of a function?Suppose we have an ordered pair (x, y) then the domain of the function is the set of values of x and the range is the set of values of y for which x is defined.
We know a quadratic function y = ax² + bx + c is a graph of a parabola that opens upwards as the coefficient of x² is positive.
Given, y = x² - 2x - 3.
y = x² - 3x + x - 3.
y = x(x - 3) + 1(x - 3).
y = (x - 3)(x + 1).
Now the x-intercepts are at 3 and -1 so the vertex is located at (3 - 1)/2 = 2.
So the range of this function is all real numbers greater than 2 as the parabola opens upwards.
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The surface area of this cylinder is 20,761.68 square yards. What is the height?
Use ≈ 3.14 and round your answer to the nearest hundredth.
29 yd
h=
Submit
h
yards
The height of the cylinder whose surface area is given would be = 85 yards.
How to calculate the height of a cylinder?The cylinder is a type of shape that has three sides which consists of two opposite circles that are joined by a curved surface.
To calculate the height of a cylinder, the formula that should be used is given as follows:
Surface area of cylinder = 2πrh + 2πr²
radius = 29 yards
surface area = 20,761.68 square yards
height = ?
That is ;
20,761.68 = 2×3.14× 29×h + 2×3.14× 29×29
20,761.68 =182.12h + 5281.48
182.12h = 20,761.68-5281.48
182.12h = 15480.2
h = 15480.2/182.12
= 85 yards
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-|8-15| what is the answer
Answer:
-7
Step-by-step explanation:
8-15 = -7 but since it's an absolute value, it is 7 and then you add the negative sign in front since it is not in the absolute value.
Solve the inequality and enter your solution as an inequality comparing the
variable to a number.
x-30 > 30
Answer:
\(x > 60\)
Step-by-step explanation:
\(x-30 > 30\)
\(x > 60\) (add 30 onto both sides of the inequality)
Strawberries cost $3.00 per pound. How many punds of strawberries can you buy for $1.00
Answer:
1/3 or .75 pounds of strawberries
Answer:
No pounds
Step-by-step explanation:
you need three (3.00) dollars to get a pound and you only have one (1.00)
Answer the question based on this system of equations.
{x=y−5
6x−2y=22
Which of the following choices help to verify whether (7,12) is a solution to the system above?
Select all that apply.
Group of answer choices
1.) 7=12−5 is true.
2.) 7=12−5 is not true.
3.) 6(7)−2(12)=22 is true.
4.) 6(7)−2(12)=22 is not true.
Step-by-step explanation:
1.) 7=12 - 5 is true
4.) 6(7) - 2(12) = 22 is not true
I WILL GIVE BRANLIEST TOO THE RIGHT PERSON PLZ I NEED HELP FAST.....A line contains the points (34, 12) and (32, 48).
What is the slope of the line in simplified form?
18
−1/18
1/18
-18
Answer:
Slope = -18
Step-by-step explanation:
To find the slope plug in the coordinate values into the equation for slope:
Slope = (y2 - y1 ) / (x2 - x1)
(34, 12)
(32, 48)
y2 = 48
y1 = 12
x2 = 32
x1 = 34
(y2 - y1 ) / (x2 - x1) =
(48 - 12) / (32 - 34) =
36 / -2 =
-18