Answer:
Apple A
Step-by-step explanation:
Apple A 6.90/6 = 1.15 lb
Apple B 12oz/ (16oz or 1lb) =3/4 .90/(3/4) =1.2lb
Apple C 0.45/(1/4)= 1.8lb
an inverse relationship in which one factor increases as another factor decreases represents?
A Negative correlation coefficient means that as one variable increases, the other decreases (i.e., an inverse relationship).
Definition of a derivative (limit of the difference quotient)
The derivative of a function f(x) at a point x = a is defined as the limit of the difference quotient as h approaches zero:
f'(a) = lim (h → 0) [f(a + h) - f(a)] / h
What is derivative?
The derivative of a function in calculus measures the function's sensitivity to changes in its input variable. Specifically, at a particular point, it represents the function's rate of change with respect to its input variable at that moment.
The derivative of a function f(x) at a point x = a is defined as the limit of the difference quotient as h approaches zero:
f'(a) = lim (h → 0) [f(a + h) - f(a)] / h
This limit represents the instantaneous rate of change or slope of the function at the point x = a. The difference quotient is the change in the function value divided by the change in the input variable (or the distance between two points on the graph of the function).
The derivative is a fundamental concept in calculus, and it has many applications in various fields of science, engineering, and economics. It allows us to calculate important quantities such as velocity, acceleration, and marginal cost, and it is used to optimize functions and solve many real-world problems.
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Your school is raising money for a non-profit organization. The local chapter of the non-profit organization keeps 80% of the money raised, and 20% goes to the national chapter of the non-profit organization . Four of your friends each donate the same amount. The total money you raise for the local chapter of the non-profit organization is $51.20. How much does each friend donate?
Answer:
The amount of money donated by each friend is $16
Step-by-step explanation:
The given parameters are;
The percentage of the money raised that is kept with the local chapter = 80%
The percentage of the money raised that goes to the national chapter = 20%
The amount of money donated by each of the four friends = Equal amount each
The total amount of the money raised for the local chapter of the non-profit = $51.20
Let x represent the amount of money donated by each of the four friends
Therefore, we have;
80% of 4 × x = 51.20, which gives;
80/100 × 4 × x = 51.20
0.8 × 4 × x = 51.20
x = 51.20/(0.8 × 4) = 16
The amount of money donated by each friend = x = $16.
Answer!
A car travels from A to B at a speed of 30 mph then returns, using the same road, from B to A at a speed of 65 mph. What is the average speed for the round trip?
Answer:
41 mphStep-by-step explanation:
s₁ = s₂ = x {the distance from A to B}
s = s₁ + s₂ = x + x = 2x {the distance of the round trip}
t = t₁ + t₂ {the time of the round trip}
v₁ = 30 mph
v₂ = 65 mph
t₁ = s₁/v₁ = x/30 h {the time of trip from A to B}
t₂ = s₂/v₂ = x/65 h {the time of trip from B to A}
The average speed:
\(v=\dfrac st=\dfrac{2x}{\frac x{30}+\frac x {65}}=\dfrac{2x}{x(\frac 1{30}+\frac1 {65})}=\dfrac{2}{\frac{13}{390}+\frac6{390}}=2\cdot\frac{390}{19}=41.05263...\approx41\)
Which of Polygons B, C, D, E, and F are similar to Polygon A?
Answer:
b and d
Step-by-step explanation:
Which expression is equal to 6^4? 10
24
4^6
6⋅6⋅6⋅6
Answer:
6⋅6⋅6⋅6
Explanation: The exponent refers to the number of times a number is multiplied by itself. 6^4 represents that 6 is being multiplied 4 times.
\(6^{4}\)
Base ⇒ 6
Exponent ⇒ 4
The lowest comman multiple of 54 and 240
Answer:
The lowest comman multiple of 54 and 240 is 6.
Answer:
6
Step-by-step explanation:
Since 54= 2x3x3x3 and 240=2x2x2x2x3x5, the LCM is 2x3=6
$\triangle DEF$ is the medial triangle of $\triangle ABC$ and $\triangle XYZ$ is the medial triangle of $\triangle DEF.$ If the perimeter of $\triangle XYZ$ is $5$, what is the perimeter of $\triangle ABC
A medial triangle is made from the midlines of the larger triangle, and its
length is half the length of the third side of the triangle.
The perimeter of ΔABC is 20Reasons:
The medial triangle of triangle ΔABC is triangle ΔDEF
The medial triangle of ΔDEF is ΔXYZ
The perimeter of ΔXYZ = 5
By the midpoint theorem, we have;
The lengths of the sides of ΔDEF = 0.5 × The lengths of the sides of ΔABC
∴ The perimeter of ΔDEF = 0.5 × The perimeter of ΔABC
Which gives;
The perimeter of ΔABC = 2 × The perimeter of ΔDEF
Similarly, between ΔXYZ and ΔDEF, we have;
The perimeter of ΔDEF = 2 × The perimeter of ΔXYZ
∴ The perimeter of ΔDEF = 2 × 5 = 10
Therefore;
The perimeter of ΔABC = 2 × 10 = 20
The perimeter of ΔABC = 20
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Answer:hoppp
Step-b 000hgfby-step explanation:
Estimate the side length of a square that has a 9 cm long diagonal. ( The perimeter of a square is typically 2.8 times bigger than the diagonal)
The diagonal and two adjacent sides of the square form an isosceles right triangle.
By the Pythagorean theorem
\(\begin{gathered} s^2+s^2=9^2 \\ 2s^2=81 \\ s^2=\frac{81}{2} \\ s=\sqrt[]{\frac{81}{2}} \\ s=\frac{9}{\sqrt[]{2}} \\ s=6.36\text{ cm} \end{gathered}\)using the curve fitting technique, determine the cubic fit for the following data. use the matlab commands polyfit, polyval and plot (submit the plot with the data below and the fitting curve).
The MATLAB commands polyfit, polyval and plot data is used .
To determine the cubic fit for the given data using MATLAB commands, we can use the polyfit and polyval functions. Here's the code to accomplish that:
x = [10 20 30 40 50 60 70 80 90 100];
y = [10.5 20.8 30.4 40.6 60.7 70.8 80.9 90.5 100.9 110.9];
% Perform cubic curve fitting
coefficients = polyfit( x, y, 3 );
fitted_curve = polyval( coefficients, x );
% Plotting the data and the fitting curve
plot( x, y, 'o', x, fitted_curve, '-' )
title( 'Fitting Curve' )
xlabel( 'X-axis' )
ylabel( 'Y-axis' )
legend( 'Data', 'Fitted Curve' )
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The complete question is :
Using the curve fitting technique, determine the cubic fit for the following data. Use the MATLAB commands polyfit, polyval and plot (submit the plot with the data below and the fitting curve). Include plot title "Fitting Curve," and axis labels: "X-axis" and "Y-axis."
x = 10 20 30 40 50 60 70 80 90 100
y = 10.5 20.8 30.4 40.6 60.7 70.8 80.9 90.5 100.9 110.9
Two friends shop for fresh fruit. Jackson buys a watermelon for $8.25 and 5 pounds of cherries. Tim buys a pineapple for $2.15 and 4 pounds of cherries. Use the variable p to represent the price, in dollars, per pound of cherries. Write and simplify an expression to represent how much more Jackson spent.
please its to tonight at 11:59pm
Answer:
Step-by-step explanation:
Jackson -
8.25 + 5p
Tim -
2.15 + 4p
8.25 - 2.15 = 6.1
5p - 4p = 1p or p
simplified expression
6.1 + p is how much more Jackson spent
(I’m sorry if it’s wrong not 100 percent sure)
a quasi-experimental design attempts to
The correct option A. quasi-experimental design; used to show that the independent variable's effect can be reversed.
Explain the quasi-experimental design?In that an independent variable is manipulated, quasi-experimental research is comparable to experimental research.
Similar to real trials, the quasi-experimental research approach seeks to establish the causal link between a variables under study. A quasi-experimental design, like a true experiment, seeks to establish a cause-and-effect link here between independent and dependent variable. However, unlike actual experiments, quasi-experimental studies use non-random criteria when assigning individuals to groups. A quasi-experiment, however, does not rely upon random assignment, unlike an actual experiment. Instead, non-random criteria are used to classify participants into groups.Thus, quasi-experimental design used to show that the independent variable's effect can be reversed.
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The correct question is-
One method used to demonstrate the reversibility of the effect of the independent variable is a(n):
A. quasi-experimental design.
B. interrupted time series design.
C. control series design.
D. ABA design.
I do not get this question
Answer:
D
is the answer
Find the area of the figure.
Step-by-step explanation:
Area of Rectangle at the top =
Length x Width
\( = 3.5 \times 3 \\ = 10.5 {mm}^{2} \)
Area of Quarter- Circle = 1/4 x Area of Circle
\( = \frac{1}{4} \pi {r}^{2} \\ = \frac{1}{4} \pi( {3.5}^{2} ) \\ = 3 \frac{1}{16} \pi {mm}^{2} \)
Area of Rectangle at the right = Length x Width
\( = 5.5 \times 3.5 \\ = 19.25 {mm}^{2} \)
Total Area = Area of 2 Rectangles + Area of Quarter Circle
\( = 10.5 + 3 \frac{1}{16} \pi + 19.25 \\ = 29.75 + 3 \frac{1}{16}\pi \\ = 32 \frac{13}{16}\pi {mm}^{2} \)
I will leave the answer in terms of pi as I'm not sure if you need to round off your answer.
A researcher has conducted a survey using a simple random sample of 50 registered voters to create a confidence interval to estimate the proportion of registered voters favoring the election of a certain candidate for mayor. Assume that the sample proportion who will vote for the candidate in question does not change. Describe the anticipated effect on the width of the confidence interval if the researcher were to survey a random sample of 200, rather than 50, registered voters
A researcher has conducted a survey using a simple random sample of 50 registered voters to create a confidence interval to estimate the proportion of registered voters favoring the election of a certain candidate for mayor. Assume that the sample proportion who will vote for the candidate in question does not change.
The effect on the width of the confidence interval if the researcher were to survey a random sample of 200, rather than 50, registered voters is a decrease in the width of the confidence interval.Survey using:In survey research, a sample is a subset of individuals or items from a population. A survey uses a representative sample of respondents chosen from a population to infer statistically valid conclusions about the whole population. Researchers use sampling to minimize the costs of collecting data while still maintaining its accuracy. Since it is not usually feasible to survey the entire population, the goal of survey sampling is to select a representative sample that can provide reliable data about the target population with less expense, less time, and less manpower.
A confidence interval is a range of values for a parameter that is determined by the interval estimation technique. The upper and lower bounds of the interval are the point estimates of the confidence interval's unknown population parameter.The width of a confidence interval is inversely proportional to the sample size. As the sample size increases, the width of the confidence interval decreases, while the confidence level remains the same. Conversely, as the sample size decreases, the width of the confidence interval increases, while the confidence level remains the same. So, if the researcher were to survey a random sample of 200 registered voters, the width of the confidence interval would be reduced.
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13) A ball is dropped from a height of 64 feet.
Each time it hits the ground, it bounces one
forth its previous height. Find the total distance traveled by the ball.
Answer:
85
Step-by-step explanation:
64+16+4+1= 85 is the total distance i believe
In the Second Law experiment, In the Second Law experiment, the acceleration is calculated by measuring the time for the cart to move from the start point to the end point and applying the kinematics equation: s= 1/2 at 2 Explain how this equation is used to find the acceleration.
The kinematics equation s = 1/2at² can be used to determine the acceleration in the Second Law Experiment, where acceleration is calculated by measuring the time taken for the cart to move from the start point to the end point.
Let's derive how the equation is used to find the acceleration from this experiment:
Drivation of kinematics equation:
The kinematics equation is derived by integrating the acceleration function twice with respect to time (t).
Acceleration, a = d²s/dt², where s is displacement, and d²s is the second derivative of displacement with respect to time.
taking integral w.r.t time twice:
∫ a dt = ∫ d²s/dt² dt integrating once gives, v = at + C₁ (where C₁ is a constant of integration)
integrating twice gives, s = 1/2at² + C₁t + C₂ (where C₂ is a constant of integration)
Thus, the kinematics equation for an object moving with constant acceleration can be represented by
s = 1/2at² + vit + s₀,
where s is the displacement, a is the acceleration, t is time, vi is initial velocity, and s₀ is initial displacement.
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The standard form of 0.0000152 is:
perform the addition or subtraction and use the fundamental identities to simplify. there is more than one correct form of the answer. 3 /1 cos x 3/ 1 − cos x
To simplify the expression (3 / (1 - cos x)) - (3 / (1 + cos x)) using the fundamental identities, we can combine the fractions and apply trigonometric identities to simplify further.
Combine the fractions: To combine the fractions, find a common denominator. In this case, the common denominator is (1 - cos x)(1 + cos x).
Apply the fundamental identity: Use the trigonometric identity (a - b)(a + b) = a^2 - b^2 to simplify the denominator. The expression becomes:
(3(1 + cos x) - 3(1 - cos x)) / ((1 - cos x)(1 + cos x))
Simplify the numerator: Distribute and simplify the numerator to obtain:
(3 + 3cos x - 3 - 3cos x) / ((1 - cos x)(1 + cos x))
Cancel out like terms: Simplify further by canceling out like terms in the numerator:
0 / ((1 - cos x)(1 + cos x))
Simplified result: The simplified expression is 0. Since the numerator is 0, the entire expression evaluates to 0.
Therefore, the simplified form of the given expression is 0.
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a movie theatre models the revenue from ticket sales in one day as a function of the ticket price, p. here are two expressions defining the same revenue function. p ( 120p - 4p ) and 120p - 4p 2 according to this model, how high would the ticket price have to be for the theater to make $0 in revenue? explain your reasoning. what equation can you write to find out what ticket price(s) would allow the theater to make $600 in revenue?
The ticket prices that would allow the theater to make $600 in revenue are $120 and $13.4.
In order for the theater to make $0 in revenue, the ticket price would have to be $4. This can be determined by setting the revenue functions equal to 0 and solving for p.
For p (120p - 4p) = 0
120p - 4p = 0
4p = 120
p = $30
For 120p - 4p2 = 0
120p - 4p2 = 0
4p2 = 120p
p2 = 30p
p = $4
To find the ticket prices that would allow the theater to make $600 in revenue, we can set the revenue functions equal to 600 and solve for p.
For p (120p - 4p) = 600
120p - 4p = 600
4p = 120 + 600
p = $120
For 120p - 4p2 = 600
120p - 4p2 = 600
4p2 = 120 + 600
p2 = 30 + 150
\(p = $\sqrt{180} \approx $13.4\)
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find the area of the composite figure
Answer:
60 m squared
Step-by-step explanation:
40+7.5+12.5=60
PLZ HELP. Will give brainliest if answered correctly with explanation.
Answer:
90 degrees
Step-by-step explanation:
given:
ABCD~EFGH
mB=mBCD=90
mBAD=128
find mFGH
this means that we are looking for angle G, and it is given that G is equal to C. it is also given that C is equal to B in mB=mBCD. finally, it is given that mB and mBCD, which are both equal, are 90 degrees. this means that mC is 90 degrees, and since mC is equal to mG, mG is equal to 90 degrees
what is the ratio 5:7
Answer:5 : 7 = 20 : 28. And 7 is a fourth of 28.
Step-by-step explanation:
CAN SOMEONE HELP ME!!!
Answer:
g(x) = 0.5(0.8)^x + 2.
Step-by-step explanation:
At large positive values the required function needs to tend to the value 2, so that excludes the 2 middle functions.
The function is also decreasing so the value in the parentheses must be < 1,
so it must be the last function.
in a random sample of 100 ucla students, 35 have travelled outside the us. estimate the true population proportion of ucla students who travelled outside the us using a 99% confidence interval. find the most reasonable formula to find the interval.
The most reasonable formula to find the interval is
0.35 ± 2.576 (√ (0.35 × 0.65)/100).
The subset chosen from the larger set to make assumptions is known as a random sample. A range of values is a confidence interval.
According to the given problem, n =100 and x = 35
To estimate the true population of students who travelled outside the US using a 99% confidence interval:
p = x / n
= 35 / 100
p = 0.35
At 99% confidence,
α = 1 - 0.99
α = 0.01
α/2 = 0.01/2
α/2 = 0.005
∴ z(α/2) = \(z_{0.005}\) = 2.576
99% confidence interval (CI) is,
CI = p ± z(α/2) * √(p(1-p)/n)
= 0.35 ± 2.576 * \(\sqrt{\frac{0.35(1-0.35)}{100} }\)
= 0.35 ± 2.576 * \(\sqrt{\frac{0.35(0.65)}{100} }\)
= 0.35 ± 2.576 * \(\sqrt{\frac{0.2275}{100} }\)
= 0.35 ± 2.576 * \(\sqrt{0.002275}\)
= 0.35 ± 2.576 * 0.0476969600
= 0.35 ± 0.122867391
= ( 0.35 - 0.1229,0.35 + 0.1229 )
CI = ( 0.2271,0.4729 )
Therefore, the most reasonable formula to find the interval is,
0.35 ± 2.576 × \(\sqrt{\frac{0.35 * 0.65}{100} }\)
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Factor this expression.
3x2 - 15x
A. 3x(x2 – 5)
B. 3(x - 5)
C. 3x(x - 5)
D. 3(x2 - 5)
Step-by-step explanation:
3x²-15x
3x(x-5)
When you multiply you will get the expression given that's why it's the correct answer to the question
So the answer is C
Answer:
Step-by-step explanation: If we want to multiply a sum by another number, either we can multiply each term of the sum by the number before we add or we can first add the terms and then multiply. For example,
In either case the result is the same.
This property, which we first introduced in Section 1.8, is called the distributive law. In symbols,
a(b + c) = ab + ac or (b + c)a = ba + ca
By applying the distributive law to algebraic expressions containing parentheses, we can obtain equivalent expressions without parentheses.
Our first example involves the product of a monomial and binomial.
Example 1 Write 2x(x - 3) without parentheses.
Solution
We think of 2x(x - 3) as 2x[x + (-3)] and then apply the distributive law to obtain
The above method works equally as well with the product of a monomial and trinomial.
Factories fully x^2+2x=
Answer:
factorise form of
x²+2x = x(x+2)
Which expression is equivalent to
and why?
x
A
x-20, because first you multiply the exponents in the numerator and then
divide by the exponent in the denominator.
B
x21, because you first you add the exponents in the numerator and ther
subtract by the exponent in the denominator, and then add the new
exponents using the power of the power property.
i
Answer:
Step-by-step explanation:
and equals the state of art called minecraft
What are the solutions for f(x)g(x)
Answer:
x = -1, 1
Step-by-step explanation:
The solutions to f(x) = g(x) are the x-values where the two functions have the same value.
The functions are both 1 when x = -1.
The functions are both -7 when x = 1.
The two solutions are x = -1, x = 1.
Thomas' Bike Shop stocks a high volume item that has a normally distributed demand during lead time. The average daily demand is 70 units, the lead time is 4 days, and the standard deviation of demand during lead time is 15.
1) How much safety stock provides a 95% service level to Thomas?
2) What should the reorder point be
The required answer is set the reorder point at approximately 304.68 units.
Explanation:-
1) To calculate the safety stock for a 95% service level, we need to find the appropriate z-value for the normal distribution. A 95% service level corresponds to a z-value of 1.645.
Safety Stock = z-value * Standard Deviation of Demand during Lead Time
Safety Stock = 1.645 * 15
Safety Stock ≈ 24.68 units
So, Thomas needs to maintain approximately 24.68 units of safety stock to provide a 95% service level.
2) To calculate the reorder point, we need to consider the average demand during lead time and the safety stock.
Reorder Point = (Average Daily Demand * Lead Time) + Safety Stock
Reorder Point = (70 units/day * 4 days) + 24.68 units
Reorder Point ≈ 280 + 24.68
Reorder Point ≈ 304.68 units
Thomas should set the reorder point at approximately 304.68 units.
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