The table represents the description of the proportional relationship is Swiss Cheese (oz) 3 6 9 Cheddar Cheese (oz) 5 10 15
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
Since the restaurant makes cheese sandwich with 3 oz of Swiss cheese and 5 oz of cheddar cheese.
Thus, the table that represents the proportional relationships will be the one that contains 3 oz of Swiss cheese with a corresponding value of 5 oz of cheddar cheese.
the constant of proportionality (k) must be the same (i.e. k = 5/3) for all the values.
Swiss Cheese (oz) 3 6 9
Cheddar Cheese (oz) 5 10 15
k = 5/3 = 10/6= 15/9 =5/3
Hence, the table represents the description of the proportional relationship is Swiss Cheese (oz) 3 6 9 Cheddar Cheese (oz) 5 10 15
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An angle measures 51.4° less than the measure of its complementary angle. What is the measure of each angle?
Answer:
70.7 deg, 19.3 deg
Step-by-step explanation:
The sum of the measures of complementary angles is 90 deg.
One angle measures x.
The other angles measures 51.4 deg less than x, or x - 51.4.
The sum of their measures equals 90.
x + x - 51.4 = 90
2x - 51.4 = 90
2x = 141.4
x = 70.7
x - 51.4 = 70.7 - 51.4 = 19.3
Answer: 70.7 deg, 19.3 deg
y 65° 25
can someone solve this ?
Kelsey went to the donut shop before work. The ratio of chocolate donuts to sprinkled donuts that she bought is 3 to 4. If Kelsey bought a total of 21 donuts, how many of the donuts were sprinkled
Answer:
she'd have 16 sprinkled donuts
An adiabatic process is one in which the:
-temperature remains constant.
-pressure on the air parcel remains constant.
-altitude of the air parcel remains constant.
-work done is zero.
-heat exchanged with the surroundings is zero.
An adiabatic process is one in which the heat transered between a system and its surroundings is equal to zero( q = 0 ). So, option(e) right one.
In thermodynamics, the adiabatic process is a process in which there is no heat or air exchange between the temperature and the environment. It is different from the isothermal heat flow process. Some important properties are :
In case of adiabatic compression (Q=0) of gas, work is done on it and its temperature increases. In case of adiabatic expansion of gas work done by it and its temperature decreases. That is temperature not constant. Pressure does not remain constant during an adiabatic process and it changes along with Volume.There is a thermodynamic change but no heat is exchanged between a system and its surroundings.Hence, option(e) is right answer.
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A Businessman exchange Nepali currency rupees 660000 INR to US Dollar at the rate of Dollar 1 is equal to INR rupees 110 after 4 days Nepali currency is revaluated by 10% and he has changed the dollars INR to Nepali currency again what is his gain or loss find it
Answer:
Gain = $666.67
Step-by-step explanation:
The businessman exchanged 660000 INR to US Dollar using the exchange rate of $1 = INR 110
Value of the money in dollars is;
(660000 × 1)/110 = $6000
Now, Nepali currency is reevaluated by 10%. This means it's value has gone up by 10%.
Thus, exchange rate of $1 is now;
110 - 10%(110) = INR 99
Thus, 660000 INR to US Dollar using this new exchange rate gives;
(660000 × 1)/99 = $6666.67
Therefore he made a gain.
Gain = 6666.67 - 6000
Gain = $666.67
1. In the simple linear regression model, the slope represents the: A. change in y per unit change in x B. value of y when x = 0 c. change in x per unit change in y D. value of x when y = 0 2. In the first-order linear regression model, the population parameters of the y-intercept and the slope are estimated by : A. bo and A B. bo and b C. A and Po D. b and Bo
In the simple linear regression model, the slope represents : A. change in y per unit change in x. This means that for every one unit increase in x, the value of y changes by the value of the slope. For example, if the slope is 2, then for every one unit increase in x, the value of y increases by 2.
2. In the first-order linear regression model, the population parameters of the y-intercept and the slope are estimated by long answer: B. bo and b. The y-intercept, represented by bo, is the value of y when x = 0. The slope, represented by b, is the change in y per unit change in x.
These parameters are estimated using statistical methods such as least squares regression, where the line of best fit is calculated to minimize the sum of squared differences between the observed values and the predicted values of y.
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Austen is making smoothies. Each smoothie needs 1/4 cup of yogurt. He has 3 1/2 cups of yogurt. How many smoothies can he make?
Answer:
14 smoothies
Step-by-step explanation:
trust me
x f(x)
-1
7
1
6
3
5
4
1
6 -1
The values in the table define the function f(x). Two points that lie on the graph of f^-1(x) are ___ and ___
Two points that lie on the graph of f^-1(x) are (7, -1) and (6,1)
How to determine the points?The table of values is given as:
x f(x)
-1 7
1 6
3 5
4 1
6 -1
Swap the points to determine the inverse function f^-1(x)
x f^-1(x)
7 -1
6 1
5 3
1 4
-1 6
The points from the above table are (7, -1) and (6,1)
Hence, two points that lie on the graph of f^-1(x) are (7, -1) and (6,1)
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x = 25 21 = 120° 42 = [?]° 5x -5 2x + 10
Answer:
It should be 60 degrees
Step-by-step explanation:
There are 49 people planning to go on a ride in a
small airplane. Each plane can hold 6 people,
and they want to fill up as many as possible.
How many planes will be needed? [?] planes
How many planes will be full? [ ] planes
How many planes will not be full? [ ] planes
How many people will be in a plane
that is not full? [ ] people
H
Enter
Answer:
Number of planes needed = total number of people ÷ number of people 1 plane can hold
⇒ number of planes needed = 49 ÷ 6 = 8 1/6 = 8 remainder 1
Therefore, 9 planes will be needed to transport 49 people.
8 planes will be full and 1 plane will not be full.
There will be 1 person in the plane that is not full.
f(x)=5x^2-1 If the graph of f is translated vertically downward by 5 units, it becomes the graph of a function h.
Find the expression for h(x)
Answer:
h(x) = 5x²-6
Step-by-step explanation:
f(x) = 5x²-1, translated vertically downward by 5 units, it becomes
h(x) = 5x² -1-5 = 5x²-6
A rectangular prism has a length of 4 inches., a width of 2 inches., and a height of 2 1/2 inches. The prism is filled with cubes that have edge lengths of 1/2 inches. How many cubes are needed to fill the rectangular prism?
The accompanying graph shows the heart rate, in the beats per minute, of a jogger during a 4 minute interval. What is the rage of the jogger's heart rate during this interval?
The range of the jogger's heart rate is defined by the interval from the minimum value to the maximum value, where we can have values in the y-axis.
Looking at the graph, the minimum heart rate is 60 bpm, and the maximum is 110 bpm, and we can have any value inside this interval.
So the range is:
\(\text{range}=\lbrack60,110\rbrack\)given that about 25% of the mammalian genome is associated with genes, including introns and regulatory sequence, what would be the approximate average length of dna per gene if the genome contained 20,000 genes?
According to the question,
Given data in the question.
If the genome contained 20,000 genes, the average length of DNA per gene will be 40,000 base pairs.
What is the average length of DNA per gene?
Only 2.5% of the human genome is protein-coding. Introns make up the remaining 97.5%. The male nuclear diploid genome is 6.27 Giga base pairs (G b p), 205.00 cm (cm) long, and 6.41 picograms in weight (p g). Female measurements are 6.37 G b p, 208.23 cm, and 6.51 p g
For a 25% mammalian genome with 20,000 genes, the total number of base pairs, which is the length of DNA per gene, will be approximately double the payment of genes contained in the genome, in this case 40,000.
The average length of DNA per gene, assuming 20,000 genes in the genome, is 40,000 base pairs.
How long does DNA typically be per gene?
Only 2.5% of the human genome codes for proteins. The remaining 97.5% is made up of introns. The size and weight of the male nuclear diploid genome are 6.27 Giga base pairs (G bp), 205.00 centimetres (cm), and 6.41 picograms (p g). 6.37 G bp, 208.23 cm, and 6.51 p g are the female measurements.
The total number of base pairs, which is 20,000 for a 25% mammalian genome with 20,000 genes,
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The average length of DNA per gene would be 40,000 base pairs if the genome had 20,000 genes.
What is the average length of DNA per gene?The human genome only codes for proteins in 2.5% of it. The remaining 97.5% are introns. The male nuclear diploid genome measures 205.00 centimeters (cm), is 6.27 Gigabase pairs (Gbp), and weighs 6.41 picograms (pg). 208.23 cm, 6.51 pg, and 6.37 Gbp are the female measurements.
Is genetics a lot of math?Although there may be some hereditary component to math aptitude, this probably only accounts for a small portion of it. Even in the current study, genetics alone could only account for 20% of math prowess. According to Libertus, "this leaves more than 80% of the variety in children's math aptitude unexplained."
The overall number of base pairs, which is the length of DNA per gene, will be roughly twice the number of genes present in the genome, in this example 40,000, for a 25% mammalian genome with 20,000 genes.
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can I please get a labeled homework help im confused and last thing please don't make to much long equation because I cant do some of them
Answer:
your answer is x >18
Step-by-step explanation:
Jahsiah's mistake was he added 9 to both sides of the equation. He should have subtracted 9 from both sides of the equation.
Here's the solution
-2x+9<-27
-9 -9
-2x/-2x<-36/-2x
when u divide by negative in inequalities, u change the sign. So ur correct answer is x>18
hope this helped.
Pls answer this I will give 10 points and brainlest for 4 to 6 answers
Answer:
wheres the question
Step-by-step explanation:
¿Qué distancia recorre un móvil en 2 s cuando se le suelta de un edificio de 100 m de altura?
the answer is 50:::::::_::::::::
Can you explain the notation T(0,16)?
Answer:
The decimal place accuracy of a number is the number of digits to the right of the decimal point. The decimal point is a period written between the digits of a number. If there is no decimal point, it is understood to be after the last digit on the right and there is no place (zero place) accuracy.
The significant digits of a number are those digits that are most accurate. If a number has no place accuracy and there is no string of zeroes ending the number on the right, all the digits are significant. If a number has no place accuracy and there is a string of zeroes ending the number on the right, the significant digits are those digits to the left of the string of zeroes. If a number has a decimal point, the significant digits are the digits starting from the first non-zero number on the left to the last digit written at the right end. In either case the number of significant digits is just the count of these digits.
Decimal notation is the regular written format for a number. Scientific notation of a number just writes the significant digits followed by an appropriate power of ten.
The most common form of scientific notation inserts a decimal point after the first significant digit, follows the significant digits with times, "x", and then 10 to a power. If the original number is at least one, the power is the number of digits between the decimal point and the first number on the left. If the number is less than one, the power is the negative of the number of digits to the right of the decimal point up to and including the first non-zero number.
Calculators and computer software sometimes write scientific notation with the significant digits followed by the letter "E" and then the power of 10, without writing the base. A decimal point is usually inserted after the first significant digit.
Step-by-step explanation:
Set up a proportion and solve round to the nearest tenth. 45 is what percent of 80?
Answer:
the answer: 56.25 percent of 80
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
76 in²
Step-by-step explanation:
Area of the figure
Area (top rectangle) + 2 x Area (bottom rectangle)12 x (7 - 2) + 2 x 2 x 412 x 5 + 1660 + 1676 in²A rectangle has perimeter 16 m. Express the area A (in m2) of the rectangle as a function of the length, L, of one of its sides.
The area A of the rectangle as a function of the length, L of one of its sides is A = 8L - L²
What is the perimeter of a rectangle?The perimeter of a rectangle is P = 2(L + W) where
L = length of the rectangle and W = width of the rectangleGiven that P = 16 m,
P = 2(L + W)
16 = 2(L + W)
16/2 = L + W
L + W = 8
So, W = 8 - L
What is the area of the rectangle?
The area of the rectangle, A = LW where
L = length of the rectangle and W = width of the rectangleSince W = 8 - L, substituting W into the equation for A, we have
A = LW
A = L(8 - L)
A = 8L - L²
So, the area A of the rectangle as a function of the length, L of one of its sides is A = 8L - L²
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Devonte used the change of base formula to approximate log Subscript 8 Baseline 25. Which expression did Devonte use?
\(\frac{log 25}{log 8}\) is the expression Devonte used the change of base formula to approximate log Subscript 8 Baseline 25.
Given that, Devonte used the change of base formula to approximate log Subscript 8 Baseline 25.
We need to determine the expression did Devonte use.
What is the formula of change of base formula?The change of base formula says \(log_{a} b=\frac{log_{c}b }{log_{c}a}\). It means to change the base of a logarithm logb b a, we just use division \(\frac{log a}{log b}\) where these logarithms can have any positive number as a base.
Now, log Subscript 8 Baseline 25 \(=log_{8}25\)
\(=\frac{log_{10}25 }{log_{10}8}=\frac{log 25}{log 8}\)
Therefore, \(\frac{log 25}{log 8}\) is the expression Devonte used the change of base formula to approximate log Subscript 8 Baseline 25.
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Answer:
D
Step-by-step explanation:
D.1 Give an estimate for the total volume of food and water you've ingested in the last day, in milliliters. D.2 How many times larger is the amount of blood your heart has pumped in the last day than the amount of food and drink you took in? D.3 How much error do you expect in your answer to 4 b ? You should give an quantitative response to this, but not one generated by a formula. Instead, estimate the error by examining how closely you think you know the values you estimated for food intake and blood flow. You don't need to use advanced error propagation; an approximate response is fine. D.4 What is the relevance of this calculation to the theory that all the blood that flows through your veins is generated in the liver?
An estimate for the total volume of food and water you've ingested in the last day is 3000-5000 milliliters. On average, the heart pumps about 5 liters of blood per minute. 10-20% or more error I'm expecting. Calculating heart blood volume compared to food and drink consumption is crucial for understanding circulation and liver function.
D.1 Estimating the amount of food and water consumed in a day can be difficult without specific measurements, but a rough estimate can be made based on typical intake amounts. On average, a person may consume 2-3 liters of water and 1000-2000 calories per day, resulting in an estimated total volume of 3000-5000 milliliters.
D.2 The amount of blood pumped by the heart varies from person to person and depends on factors such as heart rate and overall health. On average, the heart pumps about 5 liters of blood per minute, which is much larger than the estimated volume of food and water intake.
D.3 Estimating food and water intake and blood flow is prone to error due to variability and uncertainties in personal measurements. Individuals' habits, health, and physical activity levels can affect these estimates, potentially resulting in a significant error of 10-20% or more.
D.4 The calculation of the heart's blood volume compared to food and drink consumption is crucial for understanding the circulation system and liver role.
The liver processes nutrients, detoxifies, and produces blood components, while the heart is responsible for circulating blood throughout the body. The vast difference in volume between the two is emphasized, emphasizing the heart's crucial role in maintaining circulation.
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. A consumer has utility function
u(x, y) = √xy,
for two goods, X and Y, where c is some positive constant. Here, a > 0 denotes the amount of X consumed and y> 0 the amount of Y consumed. Each unit of X costs 1 dollar and cach unit of Y costs 1 dollar, and the consumer has a budget for X and Y of M dollars.
Use the Lagrange multiplier method to find the quantities * of X and y* of Y the consumer will consume in order to maximise his utility subject to the budget constraint. (Your answers will depend on c and M.)
Find the corresponding valuc, X*, of the Lagrange multiplier.
Suppose that V = u(x, y) is the maximum achievable utility. Find an explicit expression for V in terms of c and M, and verify that OM = X*.
To solve the maximization problem using the Lagrange multiplier method, we set up the following constrained optimization problem:
Maximize u(x, y) = √(xy)
Subject to the constraint g(x, y) = M - x - y = 0
We introduce a Lagrange multiplier λ and form the Lagrangian function L:
L(x, y, λ) = √(xy) + λ(M - x - y)
To find the optimal quantities of X and Y, we need to solve the following system of equations:
∂L/∂x = 0
∂L/∂y = 0
g(x, y) = 0
∂L/∂x = (√y - λ) = 0
∂L/∂y = (√x - λ) = 0
g(x, y) = M - x - y = 0
From equations (1) and (2), we have √y = λ and √x = λ. Squaring both sides of these equations, we get y = λ^2 and x = λ^2.
Substituting these values into equation (3), we have:
M - λ^2 - λ^2 = 0
2λ^2 = M
λ^2 = M/2
λ = √(M/2)
Substituting λ = √(M/2) into x = λ^2 and y = λ^2, we get:
x* = (√(M/2))^2 = M/2
y* = (√(M/2))^2 = M/2
The corresponding value of X* (the Lagrange multiplier) is given by the Lagrange function evaluated at the optimal point (x*, y*):
X* = L(x*, y*, λ) = √(xy) + λ(M - x - y)
= √((M/2)(M/2)) + √(M/2)(M - M/2 - M/2)
= M/2 + √(M/2)(M/2)
= M/2 + M/2
= M
Now, let's find an explicit expression for V (maximum achievable utility) in terms of c and M:
V = u(x*, y*) = √(xy) = √((M/2)(M/2)) = M/2
We can see that OM = X* = M, which verifies the result.
Therefore, the consumer will consume x* = M/2 units of X and y* = M/2 units of Y in order to maximize utility, subject to the budget constraint. The corresponding value of the Lagrange multiplier is X* = M, and the maximum achievable utility V is given by V = M/2.
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Which planet is the largest
Answer:
jupiter
Step-by-step explanation:
jupiter is the largest planet
1 ABC is a triangle. AB = 12 cm, AC = 10 cm and BC = 15 cm. Not drawn accurately 12 cm A 10 cm C B 15 cm Oliver calculated the size of angle A to be 85.4°. Evaluate Oliver's result.
Oliver's result of 85.4° for angle A is wrong. This is because the sum of angles of a triangle should add up to 180°.
What is triangle?Triangles are classified according to the lengths of their sides and the measure of their angles.
In this triangle, we have two angles, angle A and angle B. If angle A is 85.4°, then angle B must be 94.6°. But, the angles of a triangle should add up to 180°, which is not the case here.
We can solve for angle A using the Law of Cosines:
Cos A = (b² + c² - a²)/2(bc)
A = \(cos^{-1}[(15^2 + 10^2 - 12^2)/2(15)(10)]}\)
A = \(cos^{-1}(0.6)}\)
A = 36.86°
Therefore, the correct size of angle A is 36.86°. Oliver's result of 85.4° is incorrect.
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The equation of line s is y = __13 x − 3. The equation of line t is y = –x + 5. The equations of lines s and t form a system of equations. The solution to the system of equations is located at point P. Draw a line to represent line s and another line to represent line t. Then plot point P.
Answer:
They cross at point (0.571, 4.429)
Step-by-step explanation:
I just did it and got it correct
Please mark me Brainliest
Our university plans to carry out a campus expansion project in 6 years. It is estimated that $3 million will be needed at that time. The university plans to deposit a sum of money at the end of each year for five years from now. The annual interest rate is 5.5%. How much (in thousands of dollars) should be deposited each year to ensure that the university will have enough money at the end of the 6th year to pay for the expansion project?
$473,710.99 (in thousands of dollars) should be deposited each year to ensure that the university will have enough money at the end of the 6th year to pay for the expansion project.
To determine the amount of money that should be deposited each year to ensure that the university will have enough money at the end of the 6th year to pay for the expansion project, we can use the concept of future value of an annuity.
The future value of an annuity is the accumulated total value of all the payments or deposits made, including the interest earned over the specified period. It represents the amount of money that will be available at a future date, considering the compounding effect of interest.
The formula to calculate the future value of an annuity is:
\(FV = P * [(1 + r)^n - 1] / r\)
Where:
FV is the future value of the annuity,
P is the amount of each payment or deposit,
r is the interest rate per period,
n is the number of payment periods.
In this case, the university plans to deposit a sum of money at the end of each year for five years from now. This means there are five years of deposit.
The future value (FV) is given as $3 million, so FV = $3,000,000.
The annual interest rate (r) is 5.5%, so r = 0.055.
The number of years (n) is 6 years.
We need to solve the formula for P (the amount to be deposited each year).
$3,000,000 = P * [(1 + 0.055)^6 - 1] / 0.055
$3,000,000 = P * [1.348148 - 1] / 0.055
$3,000,000 = P * 0.348148 / 0.055
$3,000,000 = P * 6.33087
P = $3,000,000 / 6.33087
P ≈ $473,710.99
Therefore, $473,710.99 (in thousands of dollars) should be deposited each year to ensure that the university will have enough money at the end of the 6th year to pay for the expansion project.
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The Gallup Poll asked a random sample of 1785 adults if they attended church during the past week. Let p
∧
be the proportion of people in the sample who attended church. A newspaper report claims that 40% of all U.S. adults went to church last week. Suppose this claim is true. a. Verify the conditions for a valid sampling distribution for p : b. Describe the sampling distribution of p : c. Of the poll respondents, 44% said they did attend church last week. Find the probability of obtaining a sample of 1785 adults in which 44% or more say they attended church last week, assuming the newspaper report's claim is true.
a. The conditions for a valid sampling distribution for p are:
Randomization Condition: The sample of 1785 adults must be selected randomly from the population of all U.S. adults.
10% Condition: The sample size, 1785, must be less than 10% of the population of all U.S. adults.
Success/Failure Condition: The number of successes (people who attended church) and failures (people who did not attend church) in the sample must both be at least 10.
b. The sampling distribution of p is approximately normal with mean equal to the true proportion of U.S. adults who attended church last week, which is given as 0.40 in the newspaper report. The standard deviation of the sampling distribution can be calculated using the formula:
sqrt[(p*(1-p))/n]
where p is the true proportion and n is the sample size. Substituting p=0.40 and n=1785, we get:
sqrt[(0.40*(1-0.40))/1785] = 0.014
Therefore, the sampling distribution of p has mean 0.40 and standard deviation 0.014.
c. To find the probability of obtaining a sample of 1785 adults in which 44% or more say they attended church last week, assuming the newspaper report's claim is true, we need to calculate the z-score and use a standard normal table or calculator to find the corresponding probability.
The z-score can be calculated using the formula:
z = (x - mu) / sigma
where x is the sample proportion, mu is the population proportion (given as 0.40), and sigma is the standard deviation of the sampling distribution (calculated as 0.014 above). Substituting x=0.44, mu=0.40, and sigma=0.014, we get:
z = (0.44 - 0.40) / 0.014 = 2.857
Using a standard normal table or calculator, we find that the probability of obtaining a z-score of 2.857 or higher is approximately 0.0021.
Therefore, the probability of obtaining a sample of 1785 adults in which 44% or more say they attended church last week, assuming the newspaper report's claim is true, is approximately 0.0021.
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