Answer:
To make half the recipe, we will need 3/8 Parmesan cheese.Step-by-step explanation:
We know that:
Cesar Salad = 3/4 Parmesan cheeseTo make 1/2 the recipe, we need to change everything in halves.
Work:
Cesar Salad = 3/4 Parmesan cheese=> Cesar Salad/2 = 3/4 ÷ 2 Parmesan cheese=> Cesar Salad/2 = 3/4 x 1/2 Parmesan cheese=> Cesar Salad/2 = 3/8 Parmesan cheeseHence, to make half the recipe, we will need 3/8 Parmesan cheese.
Find the slope on the line
Answer:
Zero slope
Step-by-step explanation:
Answer:
1.3
Step-by-step explanation:
What is 14x + 7y = 17 in slope-Intercept form?
Answer: y = -2x + 2 3/7
Step-by-step explanation:
The slope-intercept form is y = mx + b
Start:
14x + 7y = 17
Subtract 14 from each side to get y alone:
7y = -14x + 17
Divide by 7 on each side:
y = -2x + 2 3/7
Hope this helps!
the travel time for a college student traveling between her home and her collegeis uniformaly distributed between 40 and 90 minutes the probability that her trip will take exactly 50 minutes is
The probability that her trip will take exactly 50 minutes is 1 / 50.Since the travel time is uniformly distributed between 40 and 90 minutes, the probability density function (PDF) is constant within that interval.
To find the probability that her trip will take exactly 50 minutes, we need to calculate the width of the interval and divide it by the total width of the distribution. The width of the interval from 40 to 90 minutes is 90 - 40 = 50 minutes. Since the PDF is constant within this interval, the probability density is 1 / (width of interval) = 1 / 50.
Therefore, the probability that her trip will take exactly 50 minutes is 1 / 50.
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how to calculate average rate of change over an interval
The average rate of change over an interval can be calculated by finding the difference in the function's values at the endpoints of the interval and dividing it by the difference in the input values of the endpoints.
To calculate the average rate of change over an interval, follow these steps:
1. Identify the two endpoints of the interval. Let's call them x1 and x2.
2. Evaluate the function at x1 and x2 to find the corresponding function values, let's call them y1 and y2.
3. Calculate the difference in the function values by subtracting y1 from y2: (y2 - y1).
4. Calculate the difference in the input values by subtracting x1 from x2: (x2 - x1).
5. Finally, divide the difference in the function values by the difference in the input values to find the average rate of change: (y2 - y1) / (x2 - x1).
Let's look at an example:
Suppose we have the function f(x) = 2x + 3 and we want to find the average rate of change over the interval [1, 4].
1. The endpoints of the interval are x1 = 1 and x2 = 4.
2. Evaluate the function at x1 and x2:
- f(1) = 2(1) + 3 = 5
- f(4) = 2(4) + 3 = 11
3. Calculate the difference in the function values: 11 - 5 = 6.
4. Calculate the difference in the input values: 4 - 1 = 3.
5. Divide the difference in the function values by the difference in the input values:
- 6 / 3 = 2.
Therefore, the average rate of change of f(x) over the interval [1, 4] is 2. This means that, on average, for every unit increase in x, the function f(x) increases by 2.
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An animal shelter currently has 40 cats in it. Next month they expect the number of cats to increase by 15% over the number this month. Which of the following is the number of cats they expect next month? Show how you found your answer.
Answer:
46 cats
Step-by-step explanation:
40x15%
After alcohol is fully absorbed into the body, it is metabolized with a half-life of about 1.5 hours. suppose you have had three alcoholic drinks and an hour later, at midnight, your blood alcohol concentration (bac) is 0.4 mg/ml.
After alcohol is fully absorbed into the body, it is metabolized with a half-life of about 1.5 hours. This means that every 1.5 hours, the concentration of alcohol in your blood will decrease by half.
In this scenario, you have had three alcoholic drinks and an hour later, at midnight, your blood alcohol concentration (BAC) is 0.4 mg/ml. To determine how long it will take for your BAC to reach zero, we need to calculate the number of half-lives it will take.
Given that the half-life of alcohol metabolism is 1.5 hours, we can divide the time elapsed since your last drink (1 hour) by the half-life to determine the number of half-lives.
1 hour / 1.5 hours per half-life = 0.67 half-lives
Since you have consumed three drinks, your initial BAC would have been much higher. Assuming that your BAC after three drinks was 0.4 mg/ml at the time of consumption, we can estimate that your BAC would have been:
Initial BAC = 0.4 mg/ml * (2^0.67) = 0.4 mg/ml * 1.467 = 0.587 mg/ml
Now, to estimate how long it will take for your BAC to reach zero, we need to calculate the number of half-lives it will take to decrease from 0.587 mg/ml to zero.
0.587 mg/ml / 0.4 mg/ml = 1.47 half-lives
So, it will take approximately 1.47 * 1.5 hours = 2.2 hours for your BAC to reach zero.
Please note that these calculations are estimations and can vary based on individual factors such as metabolism and other variables. It is important to prioritize safety and avoid driving or operating machinery until you are certain that your BAC is at zero.
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An air compressor begins its cycle with 0.8 cu in of air at atmospheric pressure (14.7 psi or 0 psig) in its cylinder. The air leaving the cylinder has an absolute pressure of 42 psia. The temperature remains the same. What is the new volume of the air leaving the compressor
The new volume of the air leaving the compressor can be calculated using Boyle's Law, which states that for a fixed amount of gas at a constant temperature, the product of pressure and volume is constant.
According to Boyle's Law,\(P1V1 = P2V2\), where \(P1 and V1\) are the initial pressure and volume, and \(P2 and V2\) are the final pressure and volume, respectively. In this case, we are given the initial volume (V1 = 0.8 cu in) and the initial pressure (P1 = 14.7 psi), as well as the final pressure (P2 = 42 psia).
Using Boyle's Law, we can rearrange the formula to solve for \(V2:\)
\(V2 = (P1 * V1) / P2\)
Plugging in the values, we get:
V2 = (14.7 psi * 0.8 cu in) / 42 psia
Simplifying the equation, we find:
\(V2\) ≈ 0.280 cu in
Therefore, the new volume of the air leaving the compressor is approximately 0.280 cubic inches. It's important to note that this calculation assumes the temperature remains constant throughout the process.
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Ayala has 806 computer files she wants to put on CDs.
If she can fit 19 files on each CD, how many CDs will she need? Enter the correct
answer to complete the statement.
using A A GEOMETRIC APPROACH SHOW sin(6) co FOR AND Lim CNO USE OF L'HOSPITALS e o since) RULE). Assumis G sin's) = cosce) #x20, USE THE MEAN VALUE THEOREM TO SHOW
Using a geometric approach, we need to show that \(sin(6) = cos(-84).\)
We know that sin(x) is equal to the y-coordinate of the point on the unit circle that is x radians counterclockwise from the point (1, 0).
So, sin(6) is equal to the y-coordinate of the point that is 6 radians counterclockwise from (1, 0).
Similarly, cos(x) is equal to the x-coordinate of the point on the unit circle that is x radians counterclockwise from (1, 0). So, cos(-84) is equal to the x-coordinate of the point that is 84 degrees clockwise from (1, 0).
We can draw a unit circle and mark the point (1, 0) as A. Now, we need to find the point that is 6 radians counterclockwise from A. To do this, we can draw an arc of length 6 radians (which is equal to 180 degrees) counterclockwise from A, as shown in the figure below: From the figure, we can see that the point we want is B, which has coordinates (cos(6), sin(6)).We can also draw an arc of length 84 degrees clockwise from A, as shown in the figure below: From the figure, we can see that the point we want is C, which has coordinates (cos(-84), sin(-84)).Since cos(-x) = cos(x) and sin(-x) = -sin(x), we have that sin(-84) = -sin(84) and cos(-84) = cos(84). Therefore, the point C has the same x-coordinate as the point B, and the y-coordinate of C is the negative of the y-coordinate of B.So, \(sin(6) = sin(-84) and cos(6) = cos(-84)\). This is the main answer.
Therefore, using a geometric approach, we can show that sin(6) = cos(-84).To find Lim cos(x)/sin(x) as x approaches 0, we can use L'Hospital's rule. By applying the rule, we get: lim cos(x)/sin(x) = lim -sin(x)/cos(x) as x approaches 0.
Since sin(0) = 0 and cos(0) = 1, we have:lim cos(x)/sin(x) = lim -sin(x)/cos(x) = -0/1 = 0 as x approaches 0.So, the limit of cos(x)/sin(x) as x approaches 0 is 0.
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According to SEC rules, fingerprinting is required for all of the following broker-dealer employees EXCEPT A) A sales representative that sells only government bonds B) An officer of a national securities exchange C) A manager of a transfer agent that oversees custody of customer funds D) A receptionist at a broker-dealer that regularly answers calls from customers
According to "SEC-rules", fingerprinting is required for all of "broker-dealer" employees EXCEPT (d) A receptionist at "broker-dealer" which regularly answers calls from customers.
The Fingerprinting is a regulatory requirement imposed by the Securities and Exchange Commission (SEC) for certain broker-dealer employees to undergo background checks. It helps ensure the integrity and security of the financial industry.
The fingerprinting is not required for a receptionist at a broker-dealer who primarily handles customer calls. Receptionists do not have access to sensitive customer funds or engage in activities that would warrant fingerprinting under SEC rules.
The correct option is (d).
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The given question is incomplete, the complete question is
According to SEC rules, fingerprinting is required for all of the following broker-dealer employees EXCEPT
(a) A sales representative that sells only government bonds,
(b) An officer of a national securities exchange,
(c) A manager of a transfer agent that oversees custody of customer funds,
(d) A receptionist at a broker-dealer that regularly answers calls from customers.
Dave has 10 poker chips, 6 of which are red and the other 4 of which are white. Dave likes to stack his chips and flip them over as he plays. How many different 10-chip stacks can Dave make if two stacks are not consider distinct if one can be flipped to appear identical to the other
The number of 10 chips stacks that Dave can make if two stacks are not considered distinct is 110.
The solutionTo get the symmetric stacks, one has to subtract the symmetric stacks to know the ones that are asymmetric.
The symmetric are flipped. Given that they are double counted what we have to do is to divide through by 2.
6/2 = 3
10/2 = 5
4/2 = 2
1/2(10C6) - (5C3) + (5C3)
0.5(210-10+10)
= 110
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Consider the following small open economy: с = 200+ 0.69Y I = 80 - 1,000r G = 20 NX = 850.09Ye e = 90 M = 115 YL = 0.5Y - 200r Y = 300 C is consumption spending, I is investment spending, r is the interest rate, G is govern- ment spending, NX is net exports, e is the nominal exchange rate, M is money supply, YL is demand for money, and Y is long-run output. In this economy, the interest rate does not deviate from the foreign interest rate. The price level is fixed and set to one. Note that, in this problem, a decrease in e is synonymous with a depreciation of the nominal exchange rate. 1. Assuming that the economy is in equilibrium, find the value of the interest rate. (6 points) 2. Going from the equilibrium found in Question (1), assuming fixed nominal exchange rates, what is the effect on domestic output if the foreign interest rate increases by 0.05? (6 points) (a) What is the size of the nominal money supply in the new short run equilibrium? (6 points) 3. Going from the equilibrium found in Question (1), assuming flexible exchange rates, what is the effect on domestic output if the foreign interest rate increases by 0.05? (6 points) (a) What is the value of the real exchange rate in the new equilibrium? (6 points)
The interest rate is 10.89%
1. Given,С = 200+ 0.69YI = 80 - 1,000rG = 20NX = 850.09ee = 90M = 115YL = 0.5Y - 200rY = 300Using the equation for National Saving, we get,National Saving = Investment + Government Saving + Net exports(S – I) + (T – G) + (X – M) = 0T = 0, hence (S – I) + (X – M) = 0(1 – t)Y – C – (I + G) + NX = 0Where t = 0, we get,0.5Y – 200r – 200 – 69/100Y + 80 – 850.09e = 0.5Y – 200r – 970.09e – 120 = 0.5Y – 200r – 970.09e – 120 = 0Therefore, Y = 325.0454 - 0.5r + 4.851eThis is the equation for the IS curve.On the other hand, the equation for the LM curve is given by,Ms / P = YL(i)115 / 1 = 0.5Y - 200rTherefore, Y = 400 + 400rThis is the equation for the LM curve.The interest rate is given by the point of intersection of the two curves. Equating Y from both equations, we get,325.0454 - 0.5r + 4.851e = 400 + 400rSolving the above equation for r, we get r = 0.1089 or 10.89%..
The size of the nominal money supply in the new short-run equilibrium is 121.07.
2. From the equilibrium found in Question (1), if the foreign interest rate increases by 0.05, the domestic output will change in two ways, depending on the flexibility of the nominal exchange rate.Flexible Exchange Rates:In this case, the nominal exchange rate will depreciate (e decreases). This will increase net exports and shift the IS curve to the right. The new equilibrium will be at a higher level of output.Real exchange rate will fall.Increase in output will be higher compared to the fixed exchange rate case.Fixed Exchange Rates:In this case, the nominal exchange rate will remain constant. Therefore, there will be no effect on net exports.IS curve will not shift.Real exchange rate will remain unchanged.Increase in output will be less compared to the flexible exchange rate case.The nominal money supply in the new short-run equilibrium will change in the case of Fixed Exchange Rates. In the fixed exchange rate case, the domestic interest rate will increase, leading to an inflow of capital. This will increase the money supply and the LM curve will shift downwards until it intersects the IS curve at the new equilibrium point.
Real exchange rate will remain unchanged.
3. From the equilibrium found in Question (1), if the foreign interest rate increases by 0.05, the domestic output will change in two ways, depending on the flexibility of the nominal exchange rate. Flexible Exchange Rates :In this case, the nominal exchange rate will depreciate (e decreases). This will increase net exports and shift the IS curve to the right. The new equilibrium will be at a higher level of output .Real exchange rate will fall. Value of the real exchange rate in the new equilibrium is 0.891.Fixed Exchange Rates: In this case, the nominal exchange rate will remain constant. Therefore, there will be no effect on net exports.IS curve will not shift.
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\(\sf 8x+10=3x+20\)
\(▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)
The value of x is ~
\( \boxed{2}\)\( \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}\)
\(8x + 10 = 3x + 20\)\(8x - 3x = 20 - 10\)\(5x = 10\)\(x = 10 \div 5\)\(x = 2\)I need help with the problem
Use substitution to solve the system of equations.
2x+y=4
-2x+y=-4
Answer:
Step-by-step explanation:
1*2x+y=4
-1*2x+y=-4
-2x=-y-4
2x=y+4
x=y+4/2
what fraction is eqivilant to 500%
Answer:
5/1
Step-by-step explanation:
Answer:
5/1
Step-by-step explanation:
subscript indices must be either positive integers or logicals:T/F
Therefore, subscript indices must be either positive integers or logical. True
Explanation: The statement "subscript indices must be either positive integers or logicals" is true. Subscript indices are used to identify elements in an array. A positive integer subscript identifies a particular element in an array, while a logical subscript identifies a subset of elements based on a logical condition. For example, if we have an array A, then A(1) would identify the first element of the array, while A(A > 0) would identify all elements in the array that are greater than zero. Subscript indices cannot be negative or non-integer values.
Therefore, subscript indices must be either positive integers or logical. True
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Please Help!!!!!! Will give brainliest
Answer:
55
Step-by-step explanation:
whyeyeyeyeuwu2u2727277e3
Which of the following statements is not true about continuous probability distributions?a. The probability of any event is the area under the density curve over the range of values that make up the event.b. The total area under the density curve must be exactly 1.c. If X is a continuous random variable taking values between 0 and 500, thenP(X > 200) = P(X ? 200).d. There are no disjoint events in continuous probability models.
The statement that is not true about continuous probability distributions is:
Option c. If X is a continuous random variable taking values between 0 and 500, then P(X > 200) = P(X ? 200).
In continuous probability distributions, the probability of any event is the area under the density curve over the range of values that make up the event. The total area under the density curve must be exactly 1, as it represents the probability of all possible events occurring. There are no disjoint events in continuous probability models, as all events are considered to be connected and continuous.
However, the statement that P(X > 200) = P(X ? 200) is not true. This is because the probability of X being greater than 200 is not the same as the probability of X being less than or equal to 200. These are two separate events with different probabilities, and they cannot be equal.
Therefore, the correct answer is c. If X is a continuous random variable taking values between 0 and 500, then P(X > 200) = P(X ? 200).
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A graph of a quadratic function is shown below.
Write down the coordinates of
a) the y-intercept.
b) the turning point.
c) the roots of the function.
Y
-1
-3-2-10
--1-
+2+
--3-
--4+
-54
1 2 3 4 5 6 7
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Answer
Answer:
a) y-intercept is -3
b) turning point(vertex) = (2, -4)
c) roots are x = -2 and x = 6
Step-by-step explanation:
a) y-intercept is the y-value at which the graph crosses the y-axis. This is the value of y when x = 0 and we can see that the graph crosses the y-axis at y = -3
b) the turning point is the vertex of the graph. In this graph it is the point which is at the minimum of the graph and we can see this is (2, -4)
c) The roots of a quadratic graph are the x-values where the graph crosses the x-axis. At these points, the y-value is 0. From the graph we see that the graph crosses at x= -2 and x = 6
QuestionUse the Distributive Property to simplify the expression.9(3+c+4)QuestionUse the Distributive Property to simplify the expression.9(3+c+4)
Answer:
Step-by-step explanation:
9c+63
You multiply the nine to every number in the parentheses
Answer:
Step-by-step explanation:
here we have the expression 9(3+c+4) which is the same as 9(c+7) using the Distributive Property we get 9c+63 becasue a(b+c) is the same as ab+ac.
a baseball player has a batting average of 0.265. what is the probability that he has exactly 4 hits in his next 7 at bats?
The probability that he has exactly 4 hits in his next 7 at-bats is 0.0018.
It is given that,
P(hits) = 0.265= p
For his next 7 bats, n= 7
Let X be the number of hits in the next 7 bats
Given that there can only be two outcomes—the probability of success and the probability of failure—this probability typically follows a binomial distribution.
X~ Binomial ( 7, 0.265)
substituting values
P( X=6) = ⁷C₆ (0.265)^6 (1-0.265) = 0.0018
Here ⁷C₆ means 7 combinations 6.
thus, the probability that he has exactly 4 hits in his next 7 at-bats is 0.0018.
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The population of a certain city can be modeled by the exponential * 1 poi
function below, where x represents the number of years since 2010. The graph for the function is also shown below. Which of the following statements are true? SELECT ALL THAT APPLY. I need help now please
The true statements about the functions are:
b. The population of the city in 2010 is 25000c. The rate at which the population decreases every year is 4% f. The function value would approach 0 as it decreasesHow to determine the true statement?The function is given as:
f(x) = 25000 * 0.96^x
Set x = 0 to determine the initial value of the function
f(0) = 25000 * 0.96^0
Evaluate
f(0) = 25000
This means that the population of the city in 2010 is 25000 i.e. option (B) is correct
Also, we have:
f(x) = 25000 * 0.96^x
The rate at which the population decreases every year is calculated as:
r = 1 - 0.96
Evaluate the difference
r = 0.04
Express as percentage
r = 4%
This means that the rate at which the population decreases every year is 4% i.e. option (C) is correct
The population after 5 and 10 years are:
f(5) = 25000 * 0.96^5
f(5) = 20384
f(10) = 25000 * 0.96^10
f(10) = 16621
Divide these populations by the initial population in 2010
20384/25000 = 82%
16621/25000 = 66%
This means that the population decreased by 82% and 66% in 5 years and 10 years since 2010, respectively.
So, options (d) and (e) are false
Lastly, because the population function is an exponential decay function;
The function value would approach 0 as it decreases
This means that option (f) is correct
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What’s 1+7+6+8+10-12+5+22-4-12+16
Answer:
The answer to your question is 47
Step-by-step explanation:
You just add and subtract the question the your answer will be 47. Brainly patrol, stop deleting me.
The answer is 72
Step-by-step explanation:
1+7=8
8+6=14
14+8=22
22+10=32
32+12=44
44+5=49
49+22=70
70-4=66
66-12=56
56+16=72
Add.
(56² − 3b + 2) + (26 — 4)
What is the answer? Enter your answer in the blanks.
Answer:
The correct answer is 5b²-b-2
an experiment consists of determining the speed of automobiles on a highway by the use of radar equipment. the random variable in this experiment is a group of answer choices
a-mixed type
b-discrete
c-continuous
d-multivariate
The random variable in this experiment of determining the speed of automobiles on a highway by the use of radar equipment is a C. continuous variable.
This is due to the fact that the speed of vehicles may take on any value within a range, and the range is unlimited. Continuous variables can have any value within a given range, but discrete variables can only have definite, unique values.
Mixed variables can have both discrete and continuous values, whereas multivariate variables have many variables being observed at the same time.
As a result, the random variable in this situation is C. continuous since the speed of autos on the highway might take on any value within a specified range.
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Which of the following is equivalent to
Answer:
Answer's 2
Step-by-step explanation:
The monitors keep delete all your questions. What's going on?
Answer:
:/ im about sick and tired of these da_mn bots removing my answers
its 2 :/ i just want my acc back TwT
Step-by-step explanation:
g The two general approaches to forecasting are: historical and associative. qualitative and quantitative. judgmental and qualitative. precise and approximation. mathematical and statistical.
The two general approaches are qualitative and quantitative.
What is Forecasting?Forecasting is a technique that uses past data as inputs to make future predictions by determining the direction of trends in the future.
What is Qualitative forecasting?It is an estimation methodology that uses judgment, other than numerical analysis. This type of forecasting depends upon the knowledge of most experienced employees and consultants to provide predictions for future outcomes.
What is Quantitative forecasting?It is a data-based math process that teams use to understand performance and predict future based revenue on the data and the patterns. Forecasting results gives businesses the ability to make informed decisions on strategies and processes to ensure continuous success
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(please hurry there's a time limit!!)
“A baker plans to make 8 cookies for each guest at a party. The letter g represents the number of guests at the party.”
Write an expression to represent how many cookies the baker should make.
Answer:
y=8g
Step-by-step explanation:
g = number of people
y= how many cookies the baker should make
x/2 -5 = -3
Answers: A.4 B.1 C.-4 D.-16
Answer:
A. 4
Step-by-step explanation:
x/2 - 5 = -3
x/2 = 2
x = 4
Multiply both sides of the equation by 2.
x - 10 = -6Add 10 to both sides.
x = -6 + 10Add −6 and 10 to get 4.
x = 4