Tom buys a bag of 11 tangerines for $2.86. Find the unit price in dollars per tangerine. If necessary, round your answer to the nearest cent.
Hardest question in world
Answer:
every answer is correct
Step-by-step explanation:
Answer:
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a doll sold for $212 in 1980 and was sold again in 1986 for $496. assume that the growth in the value v of the collector's item was exponential
The collector's item has a growth rate of the is approximately 0.1324, or 13.24%
How to determine the growth rate of the collector's item?To determine the growth rate of the collector's item, we can use the formula for exponential growth:
\(V = P * (1 + r)^t\)
Where:
V is the final value ($496),
P is the initial value ($212),
r is the growth rate, and
t is the time period (1986 - 1980 = 6 years).
We can rewrite the formula as:
\((1 + r)^6 = 496 / 212\)
To solve for r, we can take the sixth root of both sides:
\(1 + r = (496 / 212)^{(1/6)}\)
Subtracting 1 from both sides gives us:
\(r = (496 / 212)^{(1/6)} - 1\)
Using a calculator, we can calculate the value of r:
r ≈ 0.1324
Therefore, the growth rate of the collector's item is approximately 0.1324, or 13.24%.
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What would be the answer?
Answer:
6
Step-by-step explanation:
To breakeven means that you made exactly as much money as you spent, so if you spent $50 to make lemonade, you would need to make $50 in profits from selling to break even
first subtract the cost of making each horse from the price of selling each horse (you do this to find out how much profits he makes from one horse):
125 - 75 = 50
now divide 300 by 50 to find out how many horses need to be made to break even:
300 ÷ 50 = 6
Help?ill give brainliest
Answer:
Step-by-step explanation:
1, 238.46 total money
- 975.00 money spent
-------------------
263.46
When was Back In Black By AC/DC made?
Answer:
July 25, 1980 :)
Step-by-step explanation:
Megan is shopping at a store that sells jewelry, scarves, and purses. The cost of all of the items at the store includes tax. Megan buys 3 bracelets and 3 necklaces. Each bracelet costs $5. Megan pays the clerk $40 and gets $4 change. What is the cost, in dollars, of one necklace? Enter your answer in the space below, round it to the nearest integer.
Answer:
The cost of the necklace would be 7 dollars.
5*3 = 15
40-4=36
36-15=21
21/3= 7 dollar necklaces.
I didn't round to the nearest integer you have to do that yourself.
4(m+3)-8n=16 what does m =
Answer:
m=1+2n
Step-by-step explanation:
4(m+3)-8n=16
4m+12-8n=16
4m=16-12+8n
4m=4+8n
4m=4(1+2n)
m=1+2n
Answer:
\(\Longrightarrow: \boxed{\sf{m=2n+1}}\)
Step-by-step explanation:
To solve this problem, you have to isolate the term of m on one side of the equation.
4(m+3)-8n=16First, add by 8n from both sides.
\(\Longrightarrow: \sf{4\left(m+3\right)-8n+8n=16+8n}\)
Solve.
\(\Longrightarrow: \sf{4\left(m+3\right)=16+8n}\)
Then, you divide by 4 from both sides.
\(\Longrightarrow: \sf{\dfrac{4\left(m+3\right)}{4}=\dfrac{16}{4}+\dfrac{8n}{4}}\)
Solve.
16/4+8n/4=2(n+2)
m+3=2(n+2)
Subtract by 3 from both sides.
\(\Longrightarrow: \sf{m+3-3=2\left(n+2\right)-3}\)
Solve.
\(\Longrightarrow: \boxed{\sf{m=2n+1}}\)
Therefore, the correct answer is m=2n+1.I hope this helps, let me know if you have any questions.
Write a recursive formula for the nth term of the sequence 5,12,19,26,....
Thus, beginning with a 1 = 5, the formula a n = a n-1 + 7 can be used to recursively find the nth term of the sequence.
what is sequence ?A sequence in mathematics is an ordered collection of numbers that is typically defined by a formula or rule. Every number in the series is referred to as a term, and its location within the sequence is referred to as its index. Depending on whether the list of terms stops or continues indefinitely, sequences can either be finite or infinite. By their patterns or uniformity, sequences can be categorised, and the study of sequences is crucial to many areas of mathematics, such as calculus, number theory, and combinatorics. Mathematical, geometrical, and Fibonacci sequences are a few examples of popular sequence types.
given
The sequence's terms are all different by 7 (i.e., 12 - 5 = 19 - 12 = 26 - 19 =... = 7).
The following is a definition of a recursive formula for the nth element of the sequence:
a 1 = 5 (the first term of the series is 5) (the first term of the sequence is 5)
For n > 1, each term is derived by adding 7 to the preceding term, so a n = a n-1 + 7.
Thus, beginning with a 1 = 5, the formula a n = a n-1 + 7 can be used to recursively find the nth term of the sequence. For instance, we have
a_2 = a_1 + 7 = 5 + 7 = 12
a_3 = a_2 + 7 = 12 + 7 = 19
a_4 = a_3 + 7 = 19 + 7 = 26
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Question 3. (3 pts) Consider the following linear equation. It will be easier to write down the answers before entering inside the box below. \[ 2 x-3 y=6 \] #1. Find the \( x \)-intercept. Enter your
Given equation of a linear equation is:
2x - 3y = 6
To find x-intercept:Putting y = 0 in the equation, we get
2x - 3(0) = 62x = 6x = 3
Hence, x-intercept is (3, 0)Detailed answer:Given equation of a linear equation is:
2x - 3y = 6
To find x-intercept:Putting y = 0 in the equation, we get
2x - 3(0) = 62x = 6x = 3
Hence, x-intercept is (3, 0)
A coordinate is said to be x-intercept of the line if its corresponding value of y is 0. So, by putting y = 0 in the equation we get the x-intercept of the equation. We got the x-intercept by putting y = 0 in the given equation, we got the value of x as 3, which is the coordinate of the x-intercept of the line.The x-intercept can also be found by substituting the point where the line intersects the x-axis. The y-coordinate of any point on the x-axis is zero.
Hence, we put y = 0 in the given equation and solve for x, then we get the value of x-coordinate of the point where the line intersects the x-axis. Therefore, the x-coordinate is equal to 3 and thus, the coordinate is (3, 0).Thus, the x-intercept of the given linear equation is (3, 0).
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A set of wheels sold in an online auction for $1,120. This was $20 more than four times the opening bid. How much was the
opening bid?
Answer: 7
Step-by-step explanation:
i wish i knew why
Find the equation of a line that passes through the point (-3,-1) and has a gradient of -2. Leave your answer in the form y = m x + c
Answer:
Step-by-step explanation:
y-y1 = m (x-x1), where (x1,y1) is the point the line passes through and m is the slope
y-(-1) = 2 (x-3)
y+1 = 2x - 6
4
Find the arc length of the partial circle.
Either enter an exact answer in terms of or
use 3.14 for and enter your answer as a
decimal.
units
Answer:
12.56
Step-by-step explanation:
The arc length of the partial circle is L = 18.849 units
What is Central Angle?The central angle is an angle with two arms and a vertex in the middle of a circle. The two arms of the circle's two radii intersect the circle's arc at two separate locations. It is an angle whose vertex is the center of a circle with the two radii lines as its arms, that intersect at two different points on the circle.
The central angle of a circle formula is as follows.
Central Angle = ( s x 360° ) / 2πr
where s is the length of the arc
r is the radius of the circle
Central Angle = 2 x Angle in other segment
Given data ,
Let the radius of the circle be r = 4 units
Let the arc length of the circle be L
Let the central angle be = 270°
So , Central Angle = ( s x 360° ) / 2πr
On simplifying , we get
L = ( 270° / 360° ) x 2πr
L = ( 3/4 ) ( 8π )
L = 18.849 units
Hence , the arc length of the circle is 18.849 units
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A carnival ride is in the shape of a wheel with a radius of 25 feet. The wheel has 20 cars attached to the center of the wheel. What is the central angle, arc length, and area of a sector between any two cars? Round answers to the nearest hundredth if applicable. You must show all work and calculations to receive credit. (10 points)
Answer:
Answers: (to the nearest hundredth)
Between two cars,
Central angle = 0.39 radians (or 71.4°)
Arc length = 7.85 ft
Area of a sector = 78.54 ft²
Step-by-step explanation:
Which statements about experimental probability are true?
Experimental probability is written as a ratio.
Experimental probability includes the number of possible outcomes.
Experimental probability is found by conducting trials of an experiment.
Experimental probability includes the number of times an event occurs in the numerator, and the total number of trials in the denominator.
Experimental probability includes the number of times an event occurs in the denominator, and the total number of trials in the numerator.
The correct statements that are true about experimental probability is choices A, C, and D.
What is Experimental Probability?Experimental probability is a probability that is determined on the basis of a series of experiments.
A random experiment is done and is repeated many times to determine their likelihood and each repetition is known as a trial.
The experiment is conducted to find the chance of an event to occur or not to occur. It can be tossing a coin, rolling a die, or rotating a spinner. In mathematical terms, the probability of an event is equal to the number of times an event occurred ÷ the total number of trials.
Also, experimental probability of an event is the ratio of the number of outcomes in which a specified event occurs to the total number of trials, not in a theoretical sample space but in an actual experiment.
Thus, The correct statements that are true about experimental probability is choices A, C, and D.
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explain why conductivity is a good measure of the salinity of water?
Answer:
Salinity and conductivity measure the water's ability to conduct electricity, which provides a measure of what is dissolved in water. In the SWMP data, a higher conductivity value indicates that there are more chemicals dissolved in the water.
Step-by-step explanation:
Assume that there is a statistically significant bivariate relationship between the amount of texting during driving and the number of accidents. Scientists later investigate whether or not this bivariate relationship is moderated by age.
Age 16-20: r = 0.6 p = 0.01
Age 21+: r = 0.2 p = 0.05
T or F: Based only on the r and p values listed above you can come to the conclusion that age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.
It is False that based only on the r and p values listed above you can come to the conclusion that age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.
In the given scenario, it is not completely true that based only on the r and p values listed above, you can come to the conclusion that age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.
Let's first understand what is meant by the term "moderator.
"Moderator: A moderator variable is a variable that changes the strength of a connection between two variables. If there is a statistically significant bivariate relationship between the amount of texting during driving and the number of accidents, scientists investigate whether this bivariate relationship is moderated by age.
Therefore, based on the values of r and p, it is difficult to determine if age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.
As we have to analyze other factors also to determine whether the age is a moderator or not, such as the sample size, the effect size, and other aspects to draw a meaningful conclusion.
So, it is False that based only on the r and p values listed above you can come to the conclusion that age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.
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I also need help with this, i have no idea how to do this pleaseeee!!
When 750 minutes is being converted to weeks, the number of weeks would be= 0.074 week.
How to convert the number of minutes given to weeks?To convert the number of given minutes to weeks to following is carried out using the provided parameters.
First convert to hours, that is;
60mins = 1 hour
750 mins = X hour
make X the subject of formula;
X = 750/60 = 12.5 hours
Secondly convert to days;
24 hours = 1 day
12.5 hours = y days
make y the subject of formula;
y = 12.5/24 = 0.52 day
But 1 week = 7 days
X week = 0.52 day
X = 0.52/7 = 0.074week.
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You recently opened your checking account with reallybigbank on August 1 using $100.00
What's the question:
whats the question
What's the question:
whats the question
Which area of number sense relates to the quantity of ingredients in recipes?
is an area of number sense that relates to the quantity of ingredients in recipes.
Number sense is a foundational mathematical concept that relates to a person's ability to understand, manipulate, and use numbers.
What is the area of number sense relates?It involves the ability to comprehend and use the magnitude, relative value, and relationships between numbers, as well as the ability to estimate and perform mental calculations.
Measurement sense is the area of number sense that has to do with the quantity of ingredients in recipes. The capacity to comprehend and contrast quantities, sizes, and measurements is known as measurement sense.
Measurement sense is crucial in baking and cooking since recipes frequently call for exact measurements of materials to produce the desired results.
Measurement sense also includes knowing and using various units of measurement including cups, ounces, grams, and litres.
Therefore, Another crucial component of measuring sense in cooking is the capacity to estimate and modify measurements according to the intended result or the required number of servings.
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HELPPPP PLEASE!!!!!!
Answer:
x = 7
Step-by-step explanation:
7x - 12 = 9x - 26
7x - 12 = 9x - 26
+12 +12
7x = 9x - 14
7x = 9x - 14
-9x -9x
-2x = -14
-2x = -14
___. ___
-2 -2
x = 7
Find the quotient. 1,329 ÷ 4
Answer:
Quotient is basically division.
Step-by-step explanation:
1329/4 is basically
332.25 is the answer
TIMED PLS HELP - GIVING MOST PTS I CAN
Rounding to the nearest tenth, the measure of UV is 7.1.
What is angle?An angle is a measure of space between two lines or planes. It is measured in degrees, using a protractor, and can range from 0 to 360. Angles can be either acute, obtuse, right, straight, reflex, or full. Acute angles are angles that measure less than 90 degrees, obtuse angles measure more than 90 degrees, right angles measure exactly 90 degrees, straight angles measure 180 degrees, reflex angles measure more than 180 degrees, and full angles measure 360 degrees.
To find the measure of UV in ∆ UVW, we will use the law of cosines. The law of cosines states that \(c^{2} =a^{2} +b^{2} -2ab cos C\), where c is the length of the side opposite angle C, a and b are the lengths of the other two sides, and C is the angle opposite side c. In this case, side c is UV, a is UW, b is VW, and C is ∠ W.
Plugging in the given values, we get:
\(U^{2}V^{2}\) = \(9^{2} + 12^{2} - 2 *9* 12 cos *35\)
\(U^{2} V^{2}\) = 81 + 83.44 – 162.08 cos 35°
\(U^{2} V^{2}\) = 164.44 – 114.45
\(U^{2} V^{2}\) = 49.99
Taking the square root of both sides, we get:
UV = 7.086
Rounding to the nearest tenth, the measure of UV is 7.1.
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1) Bob weighed 200 lbs, but after dieting for 6 months, he weighed 170 lbs.
find the percent increase or decrease
Answer: 15%
Step-by-step explanation:
The Percentage decrease will be:
= Decrease in weight / Old weight × 100
= (200 - 170) / 200 × 100
= 30/200 × 100
= 15%
The Percentage decrease is 15%
5. The growth rate of the world population has been increasing steadily in recent years. Someresearchers are predicting that the population will eventually stabilize. One such model is based onthe following function, where P(t) is the population in billions and t is time in years (starting at theyear 2000 when t=0). Use your graphing calculator for this question.
We have the next function
\(P(t)=\frac{73.2}{6.1+5.9e^{-0.02t}}\)a)
We substitute t=0 in the function
\(P(0)=\frac{73.2}{6.1+5.9e^{-0.02(0)}}=6.1\)6.1 billion in the year 2000
b)
In 2200, t=200
We substitute the value of t in the function given
\(P(200)=\frac{73.2}{6.1+5.9e^{-0.02(200)}}=11.79\)11.79 billion in the year 2200
c)
The graph of the function is
d)
The size of the world population seems to approach is 12 billion of people
ANSWER
a) 6.1 billion in the year 2000
b) 11.79 billion in the year 2200
c) see the graph above
d) 12 billion of people
difference between linear and projectile motion. Which component will usually remain at a constant velocity? Why?
The difference between the linear and projectile motion is that "Linear-motion" refers to motion of object in a "straight-line", while "projectile-motion" refers to motion of an object that is thrown into air, in a curved path.
In linear motion, the object moves along a straight line, with its velocity and acceleration aligned in the same direction. The object's speed and direction may change, but its motion remains linear.
In projectile motion, the object moves along a curved path under the influence of gravity. The object is launched into the air with an initial velocity, and then gravity causes it to follow a parabolic path until it lands back on the ground. The motion of the object is influenced by both its initial velocity and the force of gravity.
In both linear and projectile motion, the "horizontal-component" of velocity will usually remain constant because there is no external force acting on the object in horizontal direction, and thus no acceleration.
Therefore, the object will continue to move at a constant velocity in the horizontal direction, as long as there is no external force acting on it.
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Find the angle between vector bold lower u equals 3 bold lower I plus start root 3 end root bold lower j and vector bold lower v equals negative 2 bold lower I minus 5 bold lower j to the nearest degree. A. 82° B. 38° C. 142° D. 98°
Answer:
C. 142°
Step-by-step explanation:
You want the angle between vectors u=3i+√3j and v=-2i-5j.
AngleThere are a number of ways the angle between the vectors can be found. For example, the dot-product relation can give you the cosine of the angle:
u•v = |u|·|v|·cos(θ) . . . . . . where θ is the angle of interest
You can find the angles of the vectors individually, and subtract those:
u = |u|∠α
v = |v|∠β
θ = α - β
When the vectors are expressed as complex numbers, the angle between them is the angle of their quotient:
\(\dfrac{\vec{u}}{\vec{v}}=\dfrac{|\vec{u}|\angle\alpha}{|\vec{v}|\angle\beta}=\dfrac{|\vec{u}|}{|\vec{v}|}\angle(\alpha-\beta)=\dfrac{|\vec{u}|}{|\vec{v}|}\angle\theta\)
This method is used in the calculation shown in the first attachment. The angle between u and v is about 142°.
A graphing program can draw the vectors and measure the angle between them. This is shown in the second attachment.
__
Additional comment
The approach using the quotient of the vectors written as complex numbers is simply computed using a calculator with appropriate complex number functions. There doesn't seem to be any 3D equivalent.
The dot-product relation will work with 3D vectors as well as 2D vectors.
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the length of each side of a square is 3 inches more than the length of each side of a smaller square. the sum of the areas of the squares is 149 inches squared. find the length of the side of the smaller square.
The length of the side of the smaller square is 7 inches.
Let x be the length of the side of the smaller square.
The length of each side of a square is 3 inches more than the length of each side of a smaller square. Thus the length of the side of the larger square is
(x + 3) inches.
The area of the smaller square is
x^2 square inches.
The area of the larger square is
(x + 3)^2 square inches.
We can set up the equation:
x^2 + (x + 3)^2 = 149
Expanding and simplifying the equation gives:
x^2 + x^2 + 6x + 9 = 149
Combining like terms:
2x^2 + 6x - 140 = 0
Using the quadratic formula, we can solve for x:
x = (-b ± √(b^2 - 4ac)) / 2a
x = (-6 ± √(6^2 - 4 * 2 * (-140))) / 2 * 2
x = (-6 ± √(36 + 1120)) / 4
x = (-6 ± √(1156)) / 4
x = (-6 ± √(596)) / 4
x = (-6 ± 34) / 4
x = -10 or x = 7
The side length of the smaller square can't be negative, so x = 7 inches.
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3). A cylindrical tank, 5 m in diameter, discharges through a horizontal mild steel pipe 100 m long and 225 mm in diameter connected to the base. Find the time taken for the water level in the tank to drop from 3 to 0.5 m above the bottom.
The time taken for the water level in the tank to drop from 3 to 0.5 meters above the bottom cannot be determined without additional information.
To calculate the time taken, we need to know the flow rate or discharge rate of the water from the tank. This information is not provided in the question. The time taken to drain the tank depends on factors such as the diameter of the outlet pipe, the pressure difference, and any restrictions or obstructions in the flow path.
If we assume a known discharge rate, we can use the principles of fluid mechanics to calculate the time. The volume of water that needs to be drained is the difference in the volume of water between 3 meters and 0.5 meters above the bottom of the tank. The flow rate can be determined using the pipe diameter and other relevant factors. Dividing the volume by the flow rate will give us the time taken.
However, since the discharge rate is not given, we cannot perform the calculation and determine the time taken accurately.
Without knowing the discharge rate or additional information about the flow characteristics, it is not possible to calculate the time taken for the water level in the tank to drop from 3 to 0.5 meters above the bottom.
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Identify three points that are solutions to
each system.
The solutions for the systems of inequalities are:
a) (0, -100), (0, -150), (0, -1000)
b) (0, 50), (0, 55) , (0, 1,204).
How to identify 3 solutions of each system?When we have a system of inequalities, a solution is a point that solves both ienqualities at the same time.
The first one is:
y ≤ x - 8
y < -3x - 9
Here y must be smaller than x, then we can define x like x = 0, and really small values for y, like y = -100, replacing that we will get:
-100 ≤ 0 - 8 = -8
-100 < - 3*0 - 9 = -9
Both of these are true, so (0, -100) is a solution, and trivially, (0, -150) and (0, -1000) are other two solutions.
For the second system:
y > 5x + 1
y > 3
Let's do the same thing, x = 0 and y gets really large values, like y = 50
50 > 5*0 + 1 = 1 this is true.
50 > 3 this is true.
so (0, 50) is a solution, and also are (0, 55) and (0, 1,204).
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