The possible prices of the charm is $4 and $8, based on stated depiction of their prices.
Firstly, the multiple of 4 that lead to 12 are 3. The multiples 1, 2 and 3 wil result in 4, 8 and 12. Since the total cost is 12, so it is not possible that 3 times of 4 can be among answers.
Now, possible cost of each sea shell charm can be multiple of 1 and 2. Hence, the possible price of each sea shell charm wil be $4 and $8.
Validating the answer as follows -
Total cost = sum of cost of each sea shell charm
12 = 4 + 8
12 = 12
Since LHS is same as RHS, the estimated possible cost is true.
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Ramon wants to make an acute triangle with three pieces of wood. so far, he has cut wood lengths of 7 inches and 3 inches. he still needs to cut the longest side. what length must the longest side be in order for the triangle to be acute? exactly startroot 58 endroot inches greater than startroot 58 endroot inches but less than 10 inches less than startroot 58 endroot inches but greater than 7 inches not enough information given
Option C: Less than \(\sqrt58\\\) inches but greater than 7 inches
Ramon wants to make an acute triangle with three pieces of wood. So far,
he has cut wood lengths of 7 inches and 3 inches.
What length must the longest side be in order for the triangle to be acute?
According to the property of triangle,
If the square of larger side of triangle is equating to the sum of square of smaller side.
If \(a^{2} < b^{2}+c^{2}\) the triangle is acute triangle.
where, 'a' is the larger side and 'b' ,'c' are the smaller side
According to the question, Let a =a , b = 7, c = 3
\(a^{2} < 7^{2}+3^{2}\\ a^{2} < 49+9\\ a < \sqrt58\)
Means to be acute triangle third side must be less than \(\sqrt58\) inches but greater than 7 inches.
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Answer:
less than 58 inches but greater than 7
Step-by-step explanation:
i got it right on edge
!!! WILL GIVE BRAINLIEST !! AND 15 POINTS PLS ANSWER !!!
Answer:
Yes, SASStep-by-step explanation:
As per diagram, the congruent sides/angles are:
HL ≅ KL - givenLJ ≅ JL - shared side∠HJL ≅ ∠KLJ - alternate interior angles are congruent as HJ║KLSo we have two sides congruent and included angle, this is Side-Angle-Side or SAS
a) Factorise x²-2x-3
b) Hence, simplify 2x-1
x²²-2x-3
+
1
x-3
By eliminating the most common factors, an expression is fully factored when it is enclosed in brackets.Answer is x = 5/2, -4.
How do you factorise ?By eliminating the most common factors, an expression is fully factored when it is enclosed in brackets.Finding the highest common factor between each term in the phrase is the simplest method of factorization.
In front of any brackets, indicate the highest common factor (HCF).The Grouping method, the difference in two squares, and the sum or difference in cubes are the four primary methods of factoring. The Greatest Common Factor (GCF) is another.
2x^2 + 3x - 20
Since 2 * -20 equals -40, we require two numbers whose total is +3 and whose product is -40.
We write this as + 8 and -5.
Factor by grouping: = 2x2 + 8x - 5x - 20
= 2x(x + 4) - 5(x + 4)
= (2x - 5)(x + 4)
So, the roots are x = 5/2 and -4.
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PLS HELP
A jewelry company purchases a necklace for $24. If they mark it up 36% to sell it at their store, what is the selling price of the necklace? (If necessary, round to the hundredths)
Answer:
I believe the answer would be 32.64
Step-by-step explanation:
$24 x 36% = 8.64
8.64 + 24 = $32.64
Find The Area Of The Region. Interior Of R = 9 + 7 Sin Θ (Below The Polar Axis) 2) Find The Area Of The Region. Two Petals Of R = 8 Sin(3θ) 3) Find Dy/Dx.
1) Find the area of the region.
Interior of r = 9 + 7 sin θ (below the polar axis)
2) Find the area of the region.
Two petals of r = 8 sin(3θ)
3) Find dy/dx.
x=\sqrt[3]{t}
y=3-t
To find the area of the region interior to r = 9 + 7sin(θ) below the polar axis, we can integrate the function from the lower bound of θ to the upper bound of θ and take the absolute value of the integral.
To find the area of the region formed by two petals of r = 8sin(3θ), we can integrate the function over the appropriate range of θ and take the absolute value of the integral. To find dy/dx for the given parametric equations x = t^(1/3) and y = 3 - t, we differentiate y with respect to t and x with respect to t and then divide dy/dt by dx/dt.
To find the area of the region interior to r = 9 + 7sin(θ) below the polar axis, we need to evaluate the integral ∫[lower bound to upper bound] |1/2 * r^2 * dθ|. In this case, the lower bound and upper bound of θ will depend on the range of values where the function is below the polar axis. By integrating the expression, we can find the area of the region. To find the area of the region formed by two petals of r = 8sin(3θ), we need to evaluate the integral ∫[lower bound to upper bound] |1/2 * r^2 * dθ|.
The lower bound and upper bound of θ will depend on the range of values where the function forms the desired shape. By integrating the expression, we can calculate the area of the region. To find dy/dx for the parametric equations x = t^(1/3) and y = 3 - t, we differentiate both equations with respect to t. Taking the derivative of y with respect to t gives dy/dt = -1, and differentiating x with respect to t gives dx/dt = (1/3) * t^(-2/3). Finally, we can find dy/dx by dividing dy/dt by dx/dt, resulting in dy/dx = -3 * t^(2/3).
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Use circle E to answer the following questions
Based on the circle theorems, the measures in circle E are:
m(AB) = 40°
m∠AEB = 40°
m∠ACB = 40°
m(ADB) = 320°
What are the Circle Theorems?The theorems are:
Measure of the central angle = measure of intercepted arcMeasure of inscribed angle =1/2( measure of intercepted arc)Measure of inscribed angles with same intercepted arcs are congruent.Using the circle theorems, given the inscribed angle, m∠ADB = 20°, we have:
m(AB) = 2(m∠ADB) = 2(20) = 40°
m∠AEB = m(AB) = 40°
m∠ACB = m∠AEB = m(AB) = 40°
m(ADB) = 360° - 40° = 320°
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4.5 points each Determine if the following sequences are convergent or divergent. If it is convergent, to what does it converge? (a)an=n2e-n 723 5.5 points each Explain why the following series are either convergent or divergent.No explanation yields no credit.
The sequence an = n^2e^(-n) is convergent. It converges to 0.
To determine if a sequence is convergent or divergent, we can analyze the behavior of its terms as n approaches infinity. In this case, as n gets larger, the exponential term e^(-n) approaches 0 since the exponent becomes very negative. The term n^2 also increases as n grows, but it is dominated by the exponential term. Therefore, the product of n^2 and e^(-n) approaches 0 as n approaches infinity.
To provide a formal proof, we can use the limit definition of convergence. Let's consider the limit of the sequence as n approaches infinity:
lim(n→∞) n^2e^(-n) = lim(n→∞) n^2 * lim(n→∞) e^(-n)
As n approaches infinity, the first term lim(n→∞) n^2 goes to infinity. However, the second term lim(n→∞) e^(-n) goes to 0. Therefore, the product of these two terms tends to 0 as n approaches infinity. This shows that the sequence an = n^2e^(-n) is convergent, and it converges to 0.
In summary, the sequence an = n^2e^(-n) is convergent, and it converges to 0 as n approaches infinity.
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Can someone please help me
Answer:
.
Step-by-step explanation:
If you have 1 apple and add two more apples every 10 minutes for five hours how many apples would you have
Answer: 61 apples
Step-by-step explanation:
Given:
1 apple
+2 apples = +10 minutes
1 hour = 60 minutes
60/10 = 6 x 2 = 12 apples/hr
12 x 5 = 60 apples for 5 hours
60 + 1 = 61 apples
What is the equation for the line?
Answer:
y=mx+b
so, y=1/4x+6
Step-by-step explanation:
plug in, then simplify the slope.
As a general rule in computing the standard error of the sample mean, the finite population correction factor is used only if the:
Group of answer choices
1. sample size is more than half of the population size.
2. sample size is smaller than 5% of the population size.
3. sample size is greater than 5% of the sample size.
4. None of these choices.
The finite population correction factor is used in computing the standard error of the sample mean when the sample size is smaller than 5% of the population size.
The finite population correction factor is a adjustment made to the standard error of the sample mean when the sample is taken from a finite population, rather than an infinite population.
It accounts for the fact that sampling without replacement affects the variability of the sample mean.
When the sample size is relatively large compared to the population size (more than half), the effect of sampling without replacement becomes negligible, and the finite population correction factor is not necessary.
In this case, the standard error of the sample mean can be estimated using the formula for sampling with replacement.
On the other hand, when the sample size is small relative to the population size (less than 5%), the effect of sampling without replacement becomes more pronounced, and the finite population correction factor should be applied.
This correction adjusts the standard error to account for the finite population size and provides a more accurate estimate of the variability of the sample mean.
Therefore, the correct answer is option 2: the finite population correction factor is used when the sample size is smaller than 5% of the population size.
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what should a good residual plot look like if the regression line fits the data well?
A good residual plot should have the points randomly scattered around the horizontal line with no discernible pattern.
This indicates that the model is well fit to the data. The residuals should also be equally distributed on either side of the horizontal line. This can be seen as the sum of the residuals being equal to 0, or mathematically expressed as the sum of the residuals (e) being equal to 0, where \(e = y - ŷ\), where y is the observed value and ŷ is the predicted value. The equation can be expressed as Σe=0.
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If z = 2x2 - 3y with u = x2 siny and v= 2y cosx, determine expressions for dz/du and dz/dv
The expressions for dz/du and dz/dv are as follows:
dz/du = 4x siny
dz/dv = -6y cosx
To find the expressions for dz/du and dz/dv, we need to differentiate the given function z = 2x^2 - 3y with respect to u and v, respectively.
1. dz/du:
Since u = x^2 siny, we can express z in terms of u by substituting x^2 siny for u in the original function:
z = 2u - 3y
Now, we differentiate z with respect to u while treating y as a constant:
dz/du = d/dx (2u - 3y)
= 2(d/dx (x^2 siny)) - 0 (since y is constant)
= 2(2x siny)
= 4x siny
Therefore, dz/du = 4x siny.
2. dz/dv:
Similarly, we express z in terms of v by substituting 2y cosx for v in the original function:
z = 2x^2 - 3v
Now, we differentiate z with respect to v while treating x as a constant:
dz/dv = d/dy (2x^2 - 3v)
= 0 (since x^2 is constant) - 3(d/dy (2y cosx))
= -6y cosx
Therefore, dz/dv = -6y cosx.
In summary, the expressions for dz/du and dz/dv are dz/du = 4x siny and dz/dv = -6y cosx, respectively.
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to find the value of a numerical or algebraic expression.
We have to Evaluate any expressions or terms within parentheses first.
How to find the value of a numerical or algebraic expressionTo find the value of a numerical or algebraic expression, follow these steps:
1. Simplify any terms within parentheses or brackets.
2. Apply the order of operations (PEMDAS): perform any calculations involving exponents or roots.
3. Perform multiplication and division operations from left to right.
4. Perform addition and subtraction operations from left to right.
5. For algebraic expressions, substitute the given values of the variables into the expression and then follow steps 1-4 to calculate the value.
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What is the length of C D on a grid, C is (-5, 5) and D is (4, -2), to the nearest tenth? Iready Help ASAP
Answer:
11.4
Step-by-step explanation:
You want the distance between C(-5, 5) and D(4, -2).
DistanceThe distance formula is ...
d = √((x2 -x1)² +(y2 -y1)²)
For the given points, the distance is computed to be ...
d = √((4 -(-5))² +(-2 -5)²) = √(81 +49) = √130
d ≈ 11.4
The length of CD is about 11.4 units.
__
Additional comment
The distance formula is an application of the Pythagorean theorem. It computes the hypotenuse of a right triangle whose legs are the differences in x- and y-coordinates.
7. What is the slope of the line that goes through (0,0) and (5, -1)7
1/2
-1/2
2
-2
Answer:
-1/5
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-1-0)/(5-0)
m=-1/5
$8.28
______
0.3 m
or
$13.00
______
0.4 m
What are the unit prices of each and which one is a better buy?
Answer:
1st
Step-by-step explanation:
1) 1m cost = $8.28/0.3=$27.60/m
2) 1m cost = $ 13.00/0.4=$32.5/m
A graph titled Population of Ohio has years on the x-axis and population (millions) on the y-axis. Points are at (1930, 7), (1950, 8), (1970, 10.5), (1990, 10.8), (2010, 11.8).
What relationship between the population of Ohio and the number of years is displayed in the scatterplot ?
As the number of years increased, the population increased.
As the number of years increased, the population stayed the same.
As the number of years increased, the population decreased.
As the number of years decreased, the population decreased.
Answer
A.) As the number of years increased, the population increased.
can someone help with this thank you so much .
Answer:
15
Step-by-step explanation:
Which of the following tables represent exponential functions? I’ve selected two answers already but I just want to double check that they are correct. Thank you so much, have a great day!
Answer:
yes its correct........ np have a nice day yourself
The area of a rectangle is 1.7 square units. The length is 3.4 units and the width is z units. What is the value of z? A . z= 0.5 B. z=2 C. z=5.1 D.z=5.78
Answer: A. z=0.5
Step-by-step explanation: 3.4x0.5=1.7
Find the length of the midsegment of the trapezoid.
M
MN
18
10
The length of the midsegment of the trapezoid is 14 units
How to find the length of the midsegment of the trapezoid?The midsegment of a trapezoid is the segment connecting the midpoints of the two non-parallel sides.
The length of the midsegment of a trapezoid is half of the sum of the lengths of the two parallel sides. Thus:
The length of the midsegment MN = (18+10)/2 = 28/2 = 14 units
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A machine pumps 8.4 gallons of water every 3.2 minutes.
How many gallons does the machine pump each minute?
Answer:
2.625 gallons per minute
Step-by-step explanation:
8.4/3.2=2.625
All parabolas have which of the following?
O One increasing and one decreasing interval
O2 increasing intervals
O 2 decreasing intervals
No intervals of increase or decrease
All parabolas have A. One increasing and one decreasing interval .
What is a parabola ?A parabola is a U-shaped curve that can either be concave up or concave down. If the parabola is concave up (like the letter "U"), it has a minimum point and is increasing to the left and decreasing to the right.
If the parabola is concave down (like an upside-down "U"), it has a maximum point and is decreasing to the left and increasing to the right. Therefore, all parabolas have at least one interval of increase and one interval of decrease.
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A rabbit and a turtle run 100 meters. When the rabbit finished, the turtle was behind by 80 meters. Next time they want to finish together. The turtle still runs 100 meters. How many meters behind the turtle should the rabbit start? (Assume that they run at a constant rate during the competition.) ITS NOT 80
From the fraction solved, the distance that the rabbit should be behind the turtle will be 400 meters.
How to solve the distanceFrom the information, it was stated that a rabbit and a turtle run 100 meters and that when the rabbit finished, the turtle was behind by 80 meters. Therefore, the distance covered by the turtle will be:
= 100 - 80
= 20 meters
Therefore, the fraction of their distance will be:
= 20/100 = 1/5
Therefore, the number of meters behind the turtle that the rabbit should start will be:
= 80 × 5
= 400 meters.
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Barton wants to know how much his packed suitcase weighs before he leaves to catch a flight. The airline will charge an extra fee if his suitcase weighs more than 50 pounds. Which method should Barton use to get the most accurate and appropriate measurement?
Barton should use a luggage scale to get the most accurate and appropriate measurement of his packed suitcase before he leaves to catch a flight. A luggage scale is a compact and portable device that is designed specifically to weigh luggage. Using a luggage scale is easy and convenient as it allows travelers to weigh their bags accurately, ensuring that they are within the airline's weight limit. To use a luggage scale, Barton should follow these simple steps:
Step 1: Attach the luggage strap Barton should attach the luggage strap to the handle of his suitcase.The strap should be attached in such a way that it can support the weight of the suitcase without slipping or coming off.
Step 2: Turn on the luggage scale Barton should turn on the luggage scale and wait for it to calibrate. This usually takes a few seconds. Once the scale is calibrated, it will display a zero reading.
Step 3: Lift the suitcase Barton should lift the suitcase by the luggage strap until it is off the ground. The luggage scale will display the weight of the suitcase on its digital display. This reading is the weight of the suitcase including all the contents inside.
Step 4: Check the weight If the weight of the suitcase is less than 50 pounds, Barton can go ahead and catch his flight without worrying about any extra charges. If the weight of the suitcase is more than 50 pounds, Barton will have to remove some items from the suitcase or pay the extra fee charged by the airline.
Therefore, using a luggage scale is the most accurate and appropriate method for travelers like Barton to measure their suitcase weight before boarding their flight.
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Answer:
use a standard digital bathroom scale.
Step-by-step explanation:
Find the critical t-value that corresponds to 95% confidence and n = 16.
A) 2.131
B) 1.753
C) 2.602
D) 2.947
The critical t-value that corresponds to a 95% confidence level and a sample size of 16 can be found by referring to the t-distribution table. The correct answer can be determined by matching the degrees of freedom (n - 1) with the closest value in the table.
1. Determine the degrees of freedom (df) by subtracting 1 from the sample size (n). In this case, n = 16, so df = 16 - 1 = 15.
2. Look up the critical t-value in the t-distribution table for a 95% confidence level and 15 degrees of freedom.
3. Identify the closest value in the table to the desired confidence level of 95%.
4. The corresponding critical t-value will be the one associated with the identified value in the table.
5. Choose the option from the given answer choices that matches the calculated critical t-value.
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How many pint are in 28 cups
Answer:
14 pints are in 28 cups
Step-by-step explanation:
Answer:
14 pints in 28 cup
Step-by-step explanation:
a kayack guide took two hours to paddle 20 miles downstream with the current and four hours to paddle 16 miles upstream against the current. find the speed of the current and the average paddling speed
The speed of current and average speed of paddling is 3 and 7 respectively.
Let p represents paddling speed of kayack guide and c represents speed of current.
If paddling downstream, the total speed is p + c because you’re paddling with the current. Similarly, if paddling upstream, the total speed is p - c because you would be paddling against the current.
Since paddling downstream took 2 hours so distance covered 2*(p + c)
which is equal to 20 miles.
2*(p + c) =20.
p + c = 10. -----i
Paddling upstream took 4 hours so distance covered 4*(p-c).
which is equal to 16 miles.
4*(p-c) = 16.
p - c = 4. -------ii
adding both equation c will be cancelled. 2*p=14 p =7.
put value of p in equation i.
7 + c = 10 ,c = 3.
So the speed of current and average speed of paddling is 3 and 7 respectively.
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33, 25, 42, 25, 31, 37, 46, 29, 38 what is the interquartile range of the data?
The interquartile range of the data will be 13
When arranged from lowest to highest, the IQR reflects the median 50% of values. To calculate the interquartile range (IQR), firstly compute the median (middle value) of the data's lower and upper halves. All those are quartile 1 (Q1) and quartile 3 (Q3) values (Q3). The interquartile range is the difference between quarters three and then one.
first, let us sort the data from lowest to highest
25,25,29,31,33,37,38,42,46
Q1- median of the lower half of the data=(29+25)/2=27
Q3-median of the upper half of the data=(38+42)/2=40
the interquartile range of the data will be Q3-Q1
40-27= 13
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