Answer:
15 feet and 9 inches
Step-by-step explanation:
9 feet and 5 inches + 6 feet and 4 inches = 15 feet and 9 inches
Problem 1. What is the best approximation for finding price of individual product? a) Average Cost b) Marginal Cost c) Total Cost d) None of them Problem 2. When do you get profit? a) When cost is greater than revenue b) When cost is equal to revenue c) When Revenue is more than cost d) All of them
Problem 1: The best approximation for finding the price of an individual product is (b) Marginal Cost. This is because marginal cost represents the cost of producing one additional unit of the product. Problem 2: You get profit when (c) Revenue is more than cost. When the revenue generated from selling products is greater than the cost of producing those products, you will have a positive profit.
For problem 1, the best approximation for finding the price of an individual product would be the Marginal Cost. This is because it takes into account the additional cost of producing one more unit of the product, which directly affects the price.
For problem 2, the correct answer would be c) When Revenue is more than cost. This is because profit is calculated by subtracting the cost of producing the product from the revenue earned from selling it. If the revenue is higher than the cost, then there is profit. If the cost is higher than the revenue, then there is a loss. When the cost is equal to the revenue, there is no profit or loss, just a break-even point. Therefore, option d) "All of them" is incorrect.
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I am really stuck on this question please help!!!
Answer:
8 weeks
Step-by-step explanation:
Ok, so the equation given is y=8x+40
If the school needs 104 cabinets in total, we have to find x, the number of weeks to complete this order.
We can input 104 as y as that's the total:
104=8x+40
We have to isolate x, so first, subtract 40 from both sides
64=8x
Next, divide both sides by 8
8=x
So, it will take 8 weeks to fulfill this order.
A student randomly draws a card from a standard deck of 52 cards. He records the type of card drawn and places it back in the deck. This is repeated 20 times. The table below shows the frequency of each outcome.
Outcome Frequency
Heart 6
Spade 4
Club 7
Diamond 3
Determine the experimental probability of drawing a spade.
0.15
0.20
0.40
0.45
The experimental probability of drawing a spade is 0.2
How to determine the experimental probability?When we perform an experiment N times, and we got a given outcome K times, the experimental probability of said outcome is given by the quotient:
P = K/N
Here the experiment is performed:
N = 6 + 4 + 7 + 3 = 20 times
And a spade is drawn 4 times, then the experimental probability is:
P = 4/20 = 1/5 = 0.20
The correct option is the second one.
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i need help someone . i need help on my iready
It wants you to multiply (5) x (8) = 40/3
Can you guys tell me what I did wrong
The circumference of the circle actually is 25.12 inches
What did you wrong?So the diameter is 8 inches, and the circumference is pi times the diameter, so you must have:
c = 3.14*8in = 25.12 inches
That is the circumference of the circle, im not sure of what did you did to ger 43.96 inches.
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Javier buys 0.6 kilograms of sour cream and 1.4 kilograms of butter. What is the total cost?
sour cream
butter
plain yogurt
cream cheese
$2.15/kg
$1.00/kg
$1.19/kg
$2.26/kg
what is the answer?
The calculated value of the total cost of the sour cream and butter is $2.69.
Calculating the total costTo calculate the total cost of sour cream and butter, we need to multiply the weight of each item by its respective price per kilogram and then add the results.
The cost of 0.6 kilograms of sour cream is:
0.6 kg * $2.15/kg = $1.29
The cost of 1.4 kilograms of butter is:
1.4 kg * $1.00/kg = $1.40
Adding these two costs together, we get:
$1.29 + $1.40 = $2.69
Therefore, the total cost of the sour cream and butter is $2.69.
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a=
B=
C=
what is A,B and C
A. (-1, A)
B. (2, infinite)
C: (-infinite, - 1)
(pls let me know if I'm wrong and if I am I'm very sorry.)
find the surface area of the trapezoid
The surface area of the trapezoid is calculated to be equal to 731 square feet
How to evaluate for the surface area of the trapezoidarea of a trapezoid is calculated using the formula: 1/2 × (A + B) × height where A is and B are the parallel base. Also the trapezoid have four rectangle sides and two same trapezoid sides.
A = 10ft
B = 13ft
height = 7ft
area of two trapezoid side = 2[1/2 × (10 + 13) ft × 7 ft = 161 ft²
area of rectangle with length 15ft and width 8ft = 8 ft × 15 ft = 120 ft²
area of rectangle with length 15ft and width ft = 15 ft × 105 ft = 105 ft²
area of rectangle with length 15ft and width 13ft = 15 ft × 13 ft = 195 ft²
area of rectangle with length 15ft and width 10ft = 15 ft × 10 ft = 150 ft²
surface area of the trapezoid = 161 ft² + 120 ft² + 105 ft² + 195 ft² + 150 ft² = 731 ft².
Therefore, the surface area of the trapezoid is calculated to be equal to 731 square feet
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I NEED HELP ON THIS ASAP!!!
Answer:
Step-by-step explanation:
4,456,546
NEED HELP ASAP, WILL GIVE BRAINLIEST!!
In the figure shown, angle 1 has a measure of 90° and angle 2 has measure of 38°. Using angles 4, 3, and 2 write an equation and solve for angle 3. Then solve for angle 6 & 5.
Equation for Angle 3-
Angle 3=
Angle 5=
Angle 6=
Answer:
Equation for Angle 3- 90-38=52
Angle 3= 52
Angle 5= 38
Angle 6= 52
Step-by-step explanation:
Angle is 90 degrees.
Angle 2 is 38 degrees.
If you are just looking at the bottom half(Angle 6, Angle 1, and Angle 2) They are all supposed to add up to equal 180 degrees because it is a supplementary angle.
So you add 90 and 38 and it gives you 52(Angle 6).
90+38+52=180
Then a complementary angle is two angles that equal 90 degrees.
So if you take Angle 2(38 degrees) and subtract it from 90, you get 52. Which is Angle 3.
You do the same with Angle 6 and Angle 5.
Angle 6(52 degrees) subtract from 90 and you get 38.
Then you add 38 and 52 and you get 90.
Then 180-90=90, so Angle 4 is 90 degrees.
what is the function showing the total amount of money julia has after x weeks ? use the variable X
The linear function that represent the situation is as follows:
f(x) = 27x + 254
How to represent a function?A function relates input and output values.
Julia has 254 dollars. Each week she saves an additional 27 dollars .
Therefore, the function that models the amount of money Julia has after x week can be represented as follows:
The function is a linear function. A linear function can be represented in the form as follows:
y = mx + b
where
m = slopeb = y-interceptTherefore,
f(x) = 27x + 254
where
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An estimator is consistent if as the sample size decreases, the value of the estimator approaches the value of the parameter estimated. (True or False)
The statement "An estimator is consistent if as the sample size decreases, the value of the estimator approaches the value of the parameter estimated" is False.
Consistency is an important property of estimators in statistics. An estimator is consistent if its value approaches the true value of the parameter being estimated as the sample size increases.
In other words, if we repeatedly take samples from the population and compute the estimator, the values we obtain will be close to the true parameter value.
This is an essential characteristic of a good estimator, as it ensures that as more data is collected, the estimation error decreases.
However, as the sample size decreases, the value of the estimator is more likely to deviate from the true value of the parameter. The reason for this is that a small sample size may not be representative of the population, and as a result, the estimation error may increase.
As a consequence, the statement is false. In conclusion, consistency is a property that an estimator possesses when its value converges to the true value of the parameter as the sample size grows.
As the sample size decreases, the estimator may become less reliable, leading to an increase in the estimation error.
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regarded as likely, probable, or certain.
Probable and certain both speak about something that may (or may not) happen in the future, but probable and possible speak about future possibilities in different ways.
What is Probable?‘Probable’ is high up on the scale of probability. If something is probable, then there is a high chance that something will happen. We can imagine that ‘probable’ is around 80% and up on the scale of probability.
If something is possible, it doesn’t mean it’s probable. However, if something is probable then it’s possible too. And if this confuses you then you’re probably in the right place.
Probable and certain are both on a scale of probability. Probability is the level of possibility or chance that something will happen or will be true in the present or future.
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Mary, Jane, Tom, Andy saved for 6 weeks like this:
-
M: 2, 4, 8, 16,
J: 10, 12, 14, 16,
T: 7, 13, 19, 25,
A:
3,6,9..
Work out how much each person saved so that you can put their names in
order of how much they saved, from smallest to largest amount.
Enter your code as a four-lettered "word"
The circumference of a circle is 7(pie)cm. What is the area, in square centimeters?
Express your answer in terms of TT(pie).
If circumference of a circle is 7π cm then area of circle is 38.465 square centimeter
The circumference of a circle is 7π cm
We have to find the area of the circle
To find area we have to know the radius
Circumference = 2πr
7π= 2πr
r=7/2
= 3.5 cm
Area of circle = πr²
=3.14×(3.5)²
=3.14×3.5×3.5
=38.465 square centimeter
Hence, if circumference of a circle is 7π cm then area of circle is 38.465 square centimeter
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Cassie starts college in the fall and has decided to live in an apartment. Her monthly living ex- penses are as follows: Rent with utilities: $800 Hydro: $40 Phone/internet/TV: $129 Groceries: $300 (a) If she attends school for 18 months, what will be her total living expenses?
Calculate the floor space of Firm 1's structure.
Floor space (Volume) of Firm 1's structure (cylinder) is 230907.06 cubic ft
≈ 2.31 × 10⁵cubic ft.
What knowledge about volume do you have ?Volume is characterised as the three dimensional quantity that is used to guage the capacity of a solid shape. It implies the amount of three dimensional space a closed figure can fill. It is measured by its volume . Some times volume can be interchanged as capacity. For instance, the amount of water a cylindrical jar can occupy is measured by its volume .
The unit of volume is cubic units such as cubic meters, cubic centimeters , cubic millileters among others .
Volume is gauged by multiplying the area of the shape with its third dimension .
When do we refer to a shape as a cylinder ?A cylinder is a three dimensional space made up of two circular bases that are parallel to one another and are connected by a curved surface
Volume of the cylinder = [tex]\pi r^{2} h[/tex]
where r = radius of the cylinder
h = height of the cylinder
Here given that, diameter of the cylinder = 70 ft
∴ radius of the cylinder = 35 ft
Additionally, height of the cylinder = 60 ft
∴ Volume of the cylinder = [tex]\pi[/tex]× (35)²× 60 = [tex]\pi[/tex]× 1225 × 60
= 3.14 × 1225 × 60 = 230907.06 cubic ft ≈ 2.31 × 10⁵ cubic ft .
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GIVEN: Circle with center C and point D.
CONSTRUCT: Equilateral triangle DEF so that points E and F are on circle C.
Circle with center C and point D. Triangle CDE and triangle CDF are both equilateral, and we have DE = EF = FD.
What is construction?
In the context of geometry, construction refers to the process of creating geometric figures or shapes using only a compass and straightedge (also called a ruler). The goal of construction is to create accurate and precise geometric figures using only these two tools and a given set of instructions.
To construct an equilateral triangle DEF with points E and F on circle C, we will follow the following steps:
Step 1: Draw a circle with center C and point D on it.
Step 2: Draw a line through points C and D. This line will be the base of our equilateral triangle DEF.
Step 3: Construct the perpendicular bisector of line CD. This can be done by drawing two circles with centers at C and D, both with radius greater than half the length of CD. The two circles will intersect at two points, and the line passing through these two points will be the perpendicular bisector of CD.
Step 4: Let G be the intersection point of the perpendicular bisector and circle C that is closest to point D. Draw lines from G to points C and D. These lines will intersect circle C at points E and F, respectively.
Step 5: Check that the length of CE is equal to the length of CF. This can be done using a compass and ruler.
Step 6: Finally, draw lines from points E and F to point D. The resulting triangle DEF will be equilateral.
To prove that triangle DEF is equilateral, we can show that DE = EF = FD. We already know that CE = CF from step 5. Since C is the center of the circle, CE = CF = CD. By construction, angle ECD and angle FCD are both 60 degrees, since they are inscribed angles that intercept the same arc.
Therefore, triangle CDE and triangle CDF are both equilateral, and we have DE = EF = FD.
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Describe how the graph of ()=(.)− compares to the graph of ()=(.)f of open x close equals 4 . open 0.5 close to the x.
Enter your answer.
Every point on the graph of g(x) is 1 unit higher than the corresponding point on the graph of f(x).
Describing how the graph comparesGiven that
f(x) = 4(0.5)^x and g(x) = 4(0.5)^x + 1
The graphs of the functions f(x) = 4(0.5)^x and g(x) = 4(0.5)^x + 1 are both exponential functions with a base of 0.5.
The only difference between these two functions is the addition of a constant term of 1 to the second function.
This constant term shifts the graph of g(x) vertically upward by 1 unit compared to the graph of f(x).
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Complete question
Describe how the graph of f(x) = 4(0.5)^x compares to the graph of g(x) = 4(0.5)^x +1
the subject is polynomial
Answer:
3p^2 -6p +3
Step-by-step explanation:
(3p-3) ( p-1)
We can FOIL
first : 3p*p = 3p^2
outer: 3p * -1 = -3p
inner: -3*p = -3p
last: -3*-1 = 3
Add them together : 3p^2 -3p -3p +3
3p^2 -6p +3
Answer:
4th answer is correct
Step-by-step explanation:
( 3p - 3 ) ( p - 1 )
Multiply each term in ( p - 1 ) by 3p and -3.
3p ( p - 1 ) - 3 ( p - 1 )
Solve the brackets.
3p² - 3p - 3p + 3
Combine like terms.
3p² - 6p + 3
Question 7 W
her checking account the must maintain a $500 balance to avoid a fee She wrote a check for $245 50 today Write and solve an
nequality that would be used for the least amount of money she needs to deposit to avoid a fee
-02c
A?
Answer:
500 ≥ 245.50
500 - 245.50 ≥ 0
254.50 ≥ 0
Therefore, she needs to deposit at least $245.50 to avoid a fee.
Step-by-step explanation:
Let x be the least amount of money she needs to deposit to avoid a fee.
The balance in her checking account after writing the check would be (500 - 245.50) = 254.50.
To avoid a fee, the balance must be greater than or equal to 500, so we can write the inequality as:
x + 254.50 ≥ 500
Solving for x, we get:
x ≥ 500 - 254.50
x ≥ 245.50
A prism is made from four identical cubes. Show the number of planes of symmetry the prism has.
The number of planes of symmetry the prism has will be 2. Then the correct option is B.
A prism is made from four identical cubes.
Axial symmetrical is similarity around an axis; an item is internally symmetric if it retains its appearance when turned around an axis.
The number of planes of symmetry the prism has will be given as,
The plane divides the shape T into two halves and the plane is perpendicular to the shape T.
The plane divides the shape T and the plane is parallel to the plane of the paper.
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The diameters of cherry tomatoes produced by a large farm have an approximately Normal distribution, with a
mean diameter of 22 mm and a standard deviation of 2. 5 mm. After they are picked and washed, tomatoes with a
diameter of at most 15 mm or at least 30 mm are rejected and not sold. What proportion of such tomatoes are
rejected?
Find the z-table here.
O 0. 0033
O 0. 0201
O 0. 9799
O 0. 9967
The proportion of cherry tomatoes that are rejected based on their diameter is 0.0033. (option a).
To use the CDF, we need to standardize the diameter values using the z-score formula:
z = (x - μ) / σ
where z is the z-score, x is the diameter value, μ is the mean diameter, and σ is the standard deviation.
For tomatoes with a diameter of at most 15 mm, we have:
z = (15 - 22) / 2.5 = -2.8
For tomatoes with a diameter of at least 30 mm, we have:
z = (30 - 22) / 2.5 = 3.2
Next, we use the z-table to find the area under the Normal distribution curve that corresponds to these z-scores. For a z-score of -2.8, the area is 0.0026. For a z-score of 3.2, the area is 0.9993.
Finally, we add these two areas together to get the total proportion of rejected tomatoes:
proportion = 0.0026 + (1 - 0.9993) = 0.0033
Hence the correct option is (a).
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A experiment involves flipping a coin and a dice. What is the probability for rolling a even number and landing on tails
The probability of rolling an even number on a dice is 1/2, since there are three even numbers (2, 4, and 6) out of a total of six possible outcomes (1, 2, 3, 4, 5, and 6).
The probability of landing on tails when flipping a coin is also 1/2, since there are only two possible outcomes (heads or tails) and they are equally likely.
To find the probability of both events happening together, we need to multiply their probabilities:
1/2 (probability of rolling an even number) x 1/2 (probability of landing on tails) = 1/4
Therefore, the probability of rolling an even number on a dice and landing on tails when flipping a coin is 1/4 or 0.25 (25%).
~~~Harsha~~~
A polynomial p(x) has a relative maximum at (-2, 4), a relative minimum at (1,1), and a relative maximum at (5,7) and no other critical points. How many real zeros does p(x) have?a) oneb) twoc) threed) foure) five
The polynomial p(x) has option (c) three real zeros because it has a relative maximum at (-2, 4), a relative minimum at (1,1), a relative maximum at (5,7), and a negative leading coefficient.
Since p(x) has a relative maximum at (-2, 4), a relative minimum at (1,1), and a relative maximum at (5,7), it means that the degree of the polynomial must be odd and at least three.
Moreover, we know that p(x) has no other critical points. This means that p(x) does not change sign between these relative extrema, which in turn implies that there are no real zeros between these extrema.
Therefore, the number of real zeros of p(x) is either one or three. To determine the answer, we need to consider the leading coefficient of p(x).
If the leading coefficient is positive, then p(x) must eventually increase on both ends, since the degree is odd. This means that there is exactly one real zero.
If the leading coefficient is negative, then p(x) must eventually decrease on both ends. In this case, since there are three relative extrema, there must be three real zeros.
Thus, we need to find the sign of the leading coefficient of p(x). This can be done by looking at the relative extrema.
Since p(x) has a relative maximum at (-2, 4), we know that the leading coefficient is negative.
Therefore, the correct option is (c) three.
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A polynomial with n turning points has a degree of at least n + 1. Therefore, the polynomial p(x) must have a degree of at least 4. Since a polynomial of degree 4 can have up to 4 real zeros, the answer is d) four real zeros.
A polynomial p(x) has a relative maximum at (-2, 4), a relative minimum at (1, 1), and a relative maximum at (5, 7), with no other critical points. This means there are turning points at these coordinates. Since there are two relative maxima and one relative minimum, the polynomial must have at least 3 turning points.
A polynomial with n turning points has a degree of at least n + 1. Therefore, the polynomial p(x) must have a degree of at least 4. Since a polynomial of degree 4 can have up to 4 real zeros, the answer is d) four real zeros.
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Sid walked 4 miles in 2 1/4
hour.
hours. Find his walking rate in miles per hour
Answer: 1.7(repeating) OR 1.78
Step-by-step explanation:
Divide 4 by 2.25 (2 1/4)
How many weeks will it take you to earn $3,437.50, if you work 25 hours
per week and make $12.50 per hour?
Answer:
We can start by calculating the total amount of money earned per week:
$12.50/hour x 25 hours/week = $312.50/week
To find out how many weeks it will take to earn $3,437.50, we can set up a proportion:
Total amount earned / Amount earned per week = Number of weeks
$3,437.50 / $312.50/week = 11 weeks
Therefore, it will take 11 weeks to earn $3,437.50 working 25 hours per week at a rate of $12.50 per hour.
When a constant force acts upon an object, the acceleration of the object varies inversely with its mass. When a certain constant force acts upon an object with
mass 4 kg, the acceleration of the object is 13 m/s². If the same force acts upon another object whose mass is 26 kg, what is this object's acceleration?
According to the given information, we know that:
Force (F) is constant
Mass (m) of the first object is 4 kg, and its acceleration (a) is 13 m/s².
Using Newton's second law of motion, we know that:
F = m*a
Solving for the force (F) acting on the first object:
F = m*a = 4 kg * 13 m/s² = 52 N
What is this object's acceleration?Now, if the same force acts upon an object with a mass of 26 kg, we can use the same equation to find its acceleration (a):
F = m*a
a = F/m
a = 52 N / 26 kg = 2 m/s²
Therefore, the acceleration of the second object is 2 m/s².
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I went hiking over the weekend. I hiked 1 3/4 miles when I came to a fork
in the trail. I went to the right. I hiked another 2 1/2 miles until I reached
the overlook. How far did I hike to get there?
O 4 1/4
O 4 1/2
O 4 1/3
O 4 1/5
Over the weekend, I went hiking. I had hiked 1 3/4 miles when I came to a trail fork. I turned to the right. I continued hiking for another 2 1/2 km till I arrived at the lookout. I hiked for A) 4 1/4 miles to get there.
In this question, we have been given that the person first hikes for 1 3/4 miles and then for 2 1/2 miles, so we will first convert them into mixed fractions and we will add the fractions.
Total miles hiked to get there = 1 3/4 miles + 2 1/2 miles
= 7 / 4 miles + 5/2 miles
= (7 + 10) / 2 miles
= 17 / 2 miles
= 4 1/4 miles
If the denominators of two fractions are the same (such fractions are said to be similar fractions), they can be added directly. If the denominators are different (such fractions are known as unlike fractions), we must change the denominators and then add the fractions.
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Describe the distribution in terms of magnitude, degree, and direction of skewness.
Skewness measures the magnitude, degree, and direction of asymmetry in a distribution. It is an important tool for describing and understanding the shape of data distributions.
Skewness is a measure of the asymmetry of a distribution. It is a statistical measure that indicates the degree to which a distribution deviates from the symmetry of a normal distribution. Skewness can be either positive or negative, or it can be zero, indicating no skewness.
Magnitude, The magnitude of skewness is determined by the degree of asymmetry in the distribution. The larger the magnitude of skewness, the more asymmetrical the distribution is. A small magnitude indicates a distribution that is close to symmetric.
Degree, The degree of skewness is the extent to which the distribution deviates from symmetry. Positive skewness indicates a distribution with a longer right tail than left, while negative skewness indicates a distribution with a longer left tail than right.
Direction, The direction of skewness is the direction of the longer tail of the distribution. If the tail is to the right, the distribution is positively skewed, and if the tail is to the left, the distribution is negatively skewed.
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