The maximum rate of change of the function f at (8,0) is 8 and the direction is ĵ.
What is function?
In mathematics, a function can be defined as a relation between a set of inputs having one output each. In simple manner, a function is a relationship between inputs where each input is related to exactly one output. In every function there has a domain and codomain or range.
Given function is f(x, y) = sin(xy)
The maximum rate of change f(x, y) occurs in the direction of gradient of the function f which can be estimated as follows:
∇f(x, y)=[ ∂/∂x f(x, y)î + ∂/∂y f(x, y)ĵ]
∇f(x, y)=[ ∂/∂x (sinxy)î + ∂/∂y (sinxy) ĵ] -------(1)
The partial derivative
∂/∂x (sinxy)= (cos xy) ∂/∂x(xy)
= y cos (xy)
and the partial derivative
∂/∂x (sinxy)= (cos xy) ∂/∂y(xy)
= x cos (xy)
putting these values in equation (1) we get,
∇f(x, y)=[ y cos(xy)î + x cos(xy) ĵ]
∇f(8, 0)=[ 0 + 8 ĵ] [ since cos 0= 1]
Now,
| ∇f(8, 0) | = | 0 + 8 ĵ |
= \(\sqrt{(0^{2} + 8^{2}) }\)
= 8
Hence, the maximum rate of change of the function f at (8,0) is 8 and the direction is ĵ.
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The picture please help
Answer:
It is linear
Step-by-step explanation:
The function or the equation increases at a constant slope or you can say it increases at a constant rate.
a trains travels 80 km per hour calculate the average speed of the train in meters per second
Answer:
0.28 meters per second
Step-by-step explanation:
1 hour = 3600 seconds
1km = 1000 meters
1000 divided by 3600 = 0.28 meters per second
So, the speed of the train is 0.28 meters per second.
Answer:
The speed of the train is 22.22 meters per second.
Step-by-step explanation:
1 hour = 3600 seconds
1km = 1000 meters
80KM=80000
80000/3600 = 22.22
So, the speed of the train is 22.22 meters per second.
Applying the multiple regression model on Sacramento Apartment dataset, predict rent price for a 1-bedroom apartment in Sacramento Area, considering the availability of Fitness Center, Parking Space, and Wireless Internet. In particular, make sure to address the following questions, Is this a high-performance model? (hint: R-square)? Is there a collinearity problem with the model? Are the estimated betas significant (hint: t-test)? What do they imply? How do you interpret the meaning of the estimated coefficient for Fitness Center? How much would the rent price for a 1-bedroom apt be, if the apartment complex has a Fitness Center, Parking Space, and Wireless Internet?
The R-squared value, check for collinearity, test for the significance of the beta coefficients, interpret the meaning of the estimated coefficient for Fitness Center, and use the multiple regression model to predict the rent price for a 1-bedroom apartment in Sacramento Area.
To predict the rent price for a 1-bedroom apartment in Sacramento Area, we can use the multiple regression model on the Sacramento Apartment dataset. This model considers the availability of Fitness Center, Parking Space, and Wireless Internet as predictors.
First, we need to check the performance of the model. The R-squared value indicates the proportion of variance in the rent price that is explained by the predictors. A higher R-squared value indicates a better performance of the model. If the R-squared value is close to 1, it means that the model explains almost all the variability in the rent price. Therefore, we need to calculate the R-squared value to determine if this is a high-performance model.
Second, we need to check if there is a collinearity problem with the model. Collinearity occurs when the predictor variables are highly correlated with each other, which can lead to unreliable estimates of the regression coefficients. We can check the correlation matrix to detect any high correlations between the predictor variables.
Third, we need to check the significance of the estimated betas. The t-test can be used to determine if the estimated beta coefficients are significantly different from zero. A significant beta coefficient indicates that the corresponding predictor variable has a significant effect on the rent price. The magnitude and sign of the beta coefficient indicate the direction and strength of the relationship between the predictor variable and the rent price.
Regarding the estimated coefficient for Fitness Center, a positive coefficient would indicate that the presence of a fitness center is associated with higher rent prices, while a negative coefficient would indicate the opposite. We can interpret the meaning of the estimated coefficient by looking at its magnitude and sign.
Finally, we can use the multiple regression model to predict the rent price for a 1-bedroom apartment in Sacramento Area with the given predictor variables. By plugging in the values for Fitness Center, Parking Space, and Wireless Internet, we can obtain an estimate of the rent price for the apartment.
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When performing a statistical analysis, why do we usually work with a sample rather than an entire population?
Select one:
a. The p-values only work with samples, not populations.
b. A t-test doesn't produce results when a population is used.
c. We don't work with samples, we only work with entire populations.
d. We often lack the manpower and resources to gather an entire population for a statistical analysis
When performing a statistical analysis, we work with sample rather than the entire population because, we often lack manpower or resources to gather data. So option D is correct.
Statistical work is usually done with a sample. This is done because, if we try to include and collect data from the whole population, it will be very time consuming and need more manpower and resources. It will become a much tedious process.
So a sample which is representative of the whole population is needed. Selecting a sample size and determining the sample must follow certain criteria. They are population parameters we want to estimate, Cost of sampling, Variability of the population, how hard is it to collect data and how precise we want the final estimates to be. All these are taken into consideration and a sample that properly represent the population is determined without bias.
So, option D is the correct answer.
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 Which is this?
A) Angle of Elevation
B) 45-45-90 Triangle Theorem
C) Geometric Mean (Altitude) Theorem
D) 30-60-90 Triangle Theorem
E) Geometric Mean
F) Converse of The Pythagorean
G) Cosine Ration
H) Angle of depression
I) Area of the triangle
Consider the parabola y = 4x - x2. Find the slope of the tangent line to the parabola at the point (1, 3). Find an equation of the tangent line in part (a).
The given parabolic equation is y = 4x - x² and the point is (1, 3). We are to determine the slope of the tangent line at (1, 3) and then obtain an equation of the tangent line. we must first calculate the derivative of the given equation.
We can do this by using the power rule of differentiation. The derivative of x² is 2x. So the derivative of y = 4x - x² is dy/dx = 4 - 2x.Since we want to find the slope of the tangent line at (1, 3), we need to substitute x = 1 into the equation we just obtained. dy/dx = 4 - 2x = 4 - 2(1) = 2. Therefore, the slope of the tangent line at (1, 3) is 2.We can now write the equation of the tangent line. We know the slope of the tangent line, m = 2, and we know the point (1, 3).
We can use the point-slope form of the equation of a line to obtain the equation of the tangent line. The point-slope form of the equation of a line is given as: y - y₁ = m(x - x₁)where m is the slope, (x₁, y₁) is a point on the line.Substituting in the values we have, we get:y - 3 = 2(x - 1)We can expand this equation to obtain the slope-intercept form of the equation of the tangent line:y = 2x + 1Therefore, the equation of the tangent line to the parabola y = 4x - x² at the point (1, 3) is y = 2x + 1.
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Use Stokes' Theorem to evaluate ∫∫s curl F · dS.
F(x, y, z) = 2y cos z i + eˣ sin z j + xeʸ k,
S is the hemisphere x² + y² + z² = 25, z ≥ 0, oriented upward.
Thus the value of ∫∫s curl F · d S. when \(S is the hemisphere x^{2} +y^{2} +z^{2} = 25\) is \(\\\int\limits^0_2 {15^{(5 sin t )} } \, dt\).
Stokes formulae is used to find the surface integral of a curl of a function
By using stokes formulae we get ,
curl F = \(\dfrac{dQ}{dY} i+ \dfrac{dR}{dZ}j + \dfrac{dP}{dY} k\\\)
where P = 2 y cos z, Q =\(e^{x} sin z\), and R =\(x e^{y}\)
Taking partial derivatives, we get:
\(\dfrac{dP}{dy} = 2cos z\)
\(\dfrac{dP}{dz} = -2y sin z\)
\(\dfrac{dQ}{dx} = e^{x} sin z\)
\(\dfrac{dQ}{dy} = 0\)
\(\dfrac{dQ}{dz} =e^{x} cos z\\\dfrac{dR}{dx} = ye^{y} \\\dfrac{dR}{dy} = xe^{y}\\ \dfrac{dR}{dz} = 0\)
substituting the values in the Curl formulae we get ,
curl F = \((-2y sin z) i + (e^{x} cos z) j + (ye^{y} - xe^{y} ) k\)
Let us substitute x = 5 cos t,
y = 5 sin t
z = 0,
where 0 ≤ t ≤ 2π. Then \(\dfrac{dr}{dt}\)= (-5 sin t) i + (5 cos t) j, and we have:
∫C F · Dr =\(\int\limits^0 _2\pi \ F(5cos t, 5sin t, 0) (-5sin t i + 5cos t j) dt\)
= \(\int\limits^0_2 {(-10 sin t cos z + 25^{5sint )cos z } } \, dt\)
=\(\int\limits^0_2 {\pi 15 ^{(5sin t ) cos z } } \, dt\)
Since z = 0 on the boundary C, we have cos z = 1, and the integral simplifies to:
\(\\\int\limits^0_2 {15^{(5 sin t )} } \, dt\)
Therefore:
∫∫s curl F · dS = ∫C F · dr =\(\\\int\limits^0_2 {15^{(5 sin t )} } \, dt\)
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Here are several recipes for sparkling lemonade. For each recipe
describe how many tablespoons of lemonade mix it takes per cup
of sparkling water,
Recipe 1: 4 tablespoons lemonade mix and 12 cups of sparkling
water
Recipe 2: 4 tablespoons of lemonade mix and 6 cups of sparkling
water
Recipe 3: 3 tablespoons of lemonade mix and 5 cups of sparkling
water
Recipe 4: 1 tablespoon os lemonade mix and 3 cups of sparkling
water
Answer:
Recipe 1: 1/2tbs of lemonade mix per cup of sparkling water
Recipe 2: 2/3tbs per cup
Recipe 3: 3/5tbs per cup
Recipe 4: 1/3tbs per cup
Step-by-step explanation:
To find the amount of lemonade mix per cup of sparkling water, we just need to divide the amount of lemonade mix in each recipe by its respective amount of sparkling water as this will give us the average amount per cup.
Recipe 1: 4 tbs lemonade mix, 12c sparkling water.
4/12 = 1/3, Recipe 1 requires 1/3 tablespoon per cup of sparkling water.
Recipe 2: 4tbs Lemonade, 6c water
4/6 = 2/3, Recipe 2 requires 2/3 tablespoon per cup of sparkling water.
Recipe 3: 3 tbs lemon, 5c water
Recipe 3 requires 3/5 tablespoon per cup of sparkling water.
Recipe 4: 1 tbs, 3c water
Recipe 4 requires 1/3 tablespoon per cup of sparkling water.
Hope this helped!
An Ice Cream Factory makes 3:1 tubs of ice cream to boxes of ice cream bars. If the factory makes 165 tubs of ice cream in a day, how many boxes of ice cream bars were made?
Answer:
55 boxes of ice cream
Step-by-step explanation:
Tubs of ice cream : boxes of ice cream = 3 : 1
If the factory makes 165 tubs of ice cream in a day, how many boxes of ice cream bars were made?
Boxes of ice cream made in a day = x
Tubs of ice cream : boxes of ice cream = 165 : x
Equate both ratios to find x
3 : 1 = 165 : x
3/1 = 165/x
Cross product
3 * x = 1 * 165
3x = 165
x = 165/3
x = 55
Boxes of ice cream made in a day = 55
Solve for x in the diagram below
Answer:
40°
Step-by-step explanation:
Vertically opposite angles are equal.
\(3x = 120 \\ \frac{3x}{3} = \frac{120}{3} \\ hence \: x = 40\)
Answer:
40
Step-by-step explanation:
4a^4 - 2b^2 + 40 when a=2 and b = 7
- 34
Step-by-step explanation:Hi !
4a⁴ - 2b² + 40 =
replace a = 2 ; b = 7
= 4ₓ2⁴ - 2ₓ7²
= 4ₓ16 - 2ₓ49
= 64 - 98
= - (98 - 64)
= - 34
Good luck !
In 2019, the distribution of golfer Lexi Thompson's driving distance had a mean of 276 yards. Assuming that her distribution of
driving distance is approximately normal with an 80th percentile of 290 yards, calculate its standard deviation.
The standard deviation is approximately 16.67 yards.
The standard deviation is a measurement of how much a group of values are spread over an area. While a high standard deviation suggests that the values are dispersed over a wider range, a low standard deviation suggests that the values tend to be close to the mean (also known as the average value) of the collection.
Standard deviation is calculated from the z-score by using the formula
\(z=\frac{x-\mu}{\rho} \\\) where ,
z is the z-score , x is the data value at that z-score , μ denotes the mean of the data set and σ is the standard deviation.
Given the mean is 276 yards , the data value at the 80th percentile is 290 . By using the z-score tables we find the z-score value to be 0.84 .
Therefore using the above formula we can find the standard deviation.
\(0.84=\frac{290-276}{\rho} \\\\or, \rho=\frac{290-276}{0.84}\\\\or,\rho=16.66...\\\\or,\rho\approx16.67\)
Hence the standard deviation is approximately 16.67 yards.
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Eric teaches ceramics in his studio.he estimates that one out of every five people who call for information about a class will sign up for the class.last week he receive nine calls.find the probability that four or fewer of the people who called will sign up for a class
The probability that four or fewer of the people who called will sign up for a class = 0.9805
For given question,
Eric estimates that one out of every five people who call for information about a class will sign up for the class.
Last week he receive nine calls.
We need to find the probability that four or fewer of the people who called will sign up for a class.
Total number of calls = 9
⇒ n = 9
Since one out of every five people who call for information about a class will sign up for the class.
the probability of success (p) = 1/5
= 0.2
and the probability of failure (q) = 1 - p
= 1 - 0.2
= 0.8
To find the probability that four or fewer of the people who called will sign up for a class.
So, x would take values 0, 1, 2, 3, 4
Using Binomial principal,
For x = 0,
\(P(x=0)= ~^9C_0(0.2)^0(0.8)^{9-0}\\\\P(x=0)=0.13422\)
For x = 1,
\(P(x=1)= ~^9C_1(0.2)^1(0.8)^{9-1}\\\\P(x=1)=0.30199\)
For x = 2,
\(P(x=2)= ~^9C_2(0.2)^2(0.8)^{9-2}\\\\P(x=2)=0.30199\)
For x = 3,
\(P(x=3)= ~^9C_3(0.2)^3(0.8)^{9-3}\\\\P(x=3)=0.17616\)
For x = 4,
\(P(x=4)= ~^9C_4(0.2)^4(0.8)^{9-4}\\\\P(x=4)=0.06606\)
So, the required probability would be,
P = P(x = 0) + P(x = 1) + P(x = 2) + P(x = 3) + P(x = 4)
P = 0.1342 + 0.3020 + 0.3020 + 0.1762 + 0.0661
P = 0.9805
Therefore, the probability that four or fewer of the people who called will sign up for a class = 0.9805
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The area of the triangle is 28 square yards.
10 yd.
7 yd.
What is the triangle's height, h?
h =
yards
The formula for the area of a triangle is A = 1/2 * b * h, where b is the length of the base and h is the height of the triangle. To solve for h, rearrange the formula to 2*A/bh = 2*28/10h = 5.6 yards.
What is a height?Height is a measure of vertical distance, often measured from the ground up. Its most typical application is to express the size of a person, object, or other item. Height is often measured in inches, feet, and millimetres. It is also used to determine the elevation of a piece of land or a building.
To calculate the height of a triangle, use the area of a triangle formula, A = 1/2 * b * h, where b is the length of the base and h is the height of the triangle. Because we know the triangle's area is 28 square yards and its base length is 10 yards, we can rearrange the formula to find h:
h = 2*A/b
h = 2*28/10
h = 5.6 yards
As a result, the triangle's height is 5.6 yards.
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What do Total Productive Maintenance (TPM) practices ensure? Select an answer: O equipment availability is minimized
O machines do not break down so often O scheduled maintenance is not necessary O equipment downtime is maximized
Total Productive Maintenance (TPM) practices ensure D. equipment downtime is maximized
What is Total Productive Maintenance?According to TPM, operators are in charge of sanitizing, enhancing, and maintaining their workstations to guarantee quality and safety throughout production cycles. The objective of TPM is to maintain equipment in top working order to ensure that production processes go without hiccups or delays.
Through the optimization of equipment availability and performance, TPM seeks to increase overall productivity and quality. The 5S methodology, a method of workforce organization that aids in streamlining and standardizing facility procedures, is the foundation on which TPM is based.
Therefore, the correct option is D.
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O
-200
Is the√8 a rational or irrational number?
irrational, because
its decimal
rational, because all
expansion does not radicals are rational
repeat
rational, because its
decimal expansion
eventually repeats
Sod
3980 207
irrational, because
all radicals are
irrational
Sign out
Dec 15
The square root of 8 is an irrational number, because it is not an exact square root.
What are rational and irrational numbers?The rational numbers are composed by the set of all numbers that can be represented by fractions, such as whole numbers, terminating decimals, or repeating decimals.
The irrational numbers, conversely, are composed by the set of numbers that cannot be represented by fractions, such as non-exact roots and non-terminating decimals.
The square root of 8 is non-exact, hence it is an irrational number, as the square root is then a non-terminating and non-repeating decimal.
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pls help math pls pls
Can u guys help me with this question!! :)
Answer:
A
Step-by-step explanation:
5/8=0.625
0.42=0.42^2
Pls help me I have other homework to do. Also it detects if it’s right or wrong:(
Answer:
It's blurry
Step-by-step explanation:
can i have some help pls
The ratio of boys to girls in a class is 7:5. There are 36 students in the class. How many students are girls?
Answer:
15 girls
Step-by-step explanation:
In all, there are 7+5 = 12 equal groups of students in the class, that in total make 36 people.
So there are 3 students in each small group.
Answer.
There are 7*3 = 21 boys and 5*3 = 15 girls.
During which period did Georgia experience the GREATEST economic growth due to industrial development?
A
during the Progressive Era
B
during the Trustee Period
during Reconstruction
during World War II
Georgia experienced the GREATEST economic growth due to industrial development during World War II. Georgia experienced the greatest economic growth during World War II.
Option D is the correct answer
This was due to an increase in the number of jobs available to people due to the high demand for supplies for the war. Many of the soldiers who were fighting in the war were from Georgia, and Georgia was able to benefit from the extra money and supplies that were being produced during this time.Growth in the economic sector was largely a result of several different factors. One of the most important of these was the fact that Georgia was home to several different military installations that were used to house and train soldiers.
These installations required a large number of supplies, which in turn created a high demand for workers. As a result, Georgia experienced a significant influx of people from other parts of the country who were looking for work in these areas.Another factor that contributed to the growth of Georgia's economy during this time period was the fact that the state was home to a number of factories and other manufacturing facilities. Many of these facilities were used to produce goods that were needed for the war effort, and the high demand for these goods led to an increase in the number of jobs available to people. As a result, the state's population grew rapidly, and many people who had previously been unemployed were able to find work in these industries.
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8) A parabola has an \( x \)-intercept at 2, its axis of symmetry is the line \( x=4 \), and the \( y \) coordinate of its vertex is 6 . Determine the equation of the parabola. (Hint: See the last par
the equation of the parabola is:
[y = -frac{3}{2}(x - 4)^2 + 6]
To determine the equation of the parabola, we can use the vertex form of a parabola's equation: (y = a(x - h)^2 + k), where ((h, k)) represents the vertex.
Given information:
- (x)-intercept: (2, 0)
- Axis of symmetry: (x = 4)
- (y)-coordinate of the vertex: 6
From the given information, we can determine that the vertex of the parabola is (4, 6) since the axis of symmetry is the line (x = 4), and the (y)-coordinate of the vertex is 6.
Plugging in the values into the vertex form, we have:
[y = a(x - 4)^2 + 6]
To find the value of (a), we can use the fact that the parabola passes through the (x)-intercept (2, 0). Substituting these values into the equation, we get:
[0 = a(2 - 4)^2 + 6]
[0 = 4a + 6]
[4a = -6]
[a = -frac{6}{4} = -frac{3}{2}]
Substituting the value of (a) back into the equation, we have:
[y = -frac{3}{2}(x - 4)^2 + 6]
Therefore, the equation of the parabola is:
[y = -frac{3}{2}(x - 4)^2 + 6]
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The equation y = 70.5 + $ 19.5 sin [pi/6 (t - 4)] models the average monthly temperature for Phoenix, Arizona, in degrees Fahrenheit. In this equation, t denotes the number of months, with t " 1 representing January. What is the average monthly temperature for July?
The average monthly temperature for July is $90 degrees Fahrenheit.
To calculate the average monthly temperature for July, we need to determine the value of y when t corresponds to July.
In the given equation, y = 70.5 + $19.5sin[(π/6)(t - 4)], t represents the number of months, with t = 1 representing January.
Since July is the seventh month of the year, we can substitute t = 7 into the equation to find the average monthly temperature for July:
y = 70.5 + $19.5sin[(π/6)(7 - 4)]
= 70.5 + $19.5sin[(π/6)(3)]
= 70.5 + $19.5sin[π/2]
= 70.5 + $19.5(1)
= 70.5 + $19.5
= 90
Hence the temperature in july is 90 degree farenheit.
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Use the z-score formula, x-μ Z = -, and the information below to find the mean, 0 μ. Round your answer to one decimal place, if necessary. z = 2.25, x = 22.2, and = 1.6
The mean is 18.6.
Given the following information; z = 2.25, x = 22.2, and σ = 1.6, to find the mean, we have to apply the formula for z-score. z = (x - μ)/σWhere; z-score is represented by z, the value of X is represented by x, the mean is represented by μ and the standard deviation is represented by σSubstituting the values into the equation above;2.25 = (22.2 - μ)/1.6Multiplying both sides of the equation by 1.6, we have;1.6(2.25) = (22.2 - μ)3.6 = 22.2 - μ Subtracting 22.2 from both sides of the equation;3.6 - 22.2 = - μ-18.6 = - μ Multiplying both sides of the equation by -1, we have;μ = 18.6
Simply said, a z-score, also known as a standard score, informs you of how far a data point is from the mean. Technically speaking, however, it's a measurement of how many standard deviations a raw score is from or above the population mean.
You can plot a z-score on a normal distribution curve. Z-scores range from -3 standard deviations, which would fall to the extreme left of the normal distribution curve, to +3 standard deviations, which would fall to the far right. You must be aware of the mean and population standard deviation in order to use a z-score.
The z-score can show you how that person's weight compares to the mean weight of the general population.
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solve the equation 6=5x+2
Hi Student!
Looking at this problem, it is pretty straight forward and we don't need to do much information gathering to help answer our question. The main point is that we just need to solve the equation also known as solving for the unknown variable.
Subtract 2 from both sides
\(6= 5x + 2\)\(6 - 2 = 5x + 2 - 2\)\(4 = 5x\)Divide both sides by 5
\(\frac{4}{5} = \frac{5x}{5}\)\(\frac{4}{5} = x\)Therefore, our final solution to this problem is that x is equal to 4/5 or we can convert this to a decimal to which we will then get 0.8.
Solve, using the substitution method.
x + y = 5
x – y = 3
Question 1 options:
There is no solution.
The solution is (2, –1)
The solution is (4, 1)
There are an infinite number of solutions.
Step-by-step explanation:
To solve the system of equations using the substitution method, we need to solve one of the equations for one of the variables, and then substitute that expression into the other equation.
Let's solve the first equation, x + y = 5, for y:
y = 5 - x
Now, substitute this expression for y in the second equation, x - y = 3:
x - (5 - x) = 3
Simplifying the left side of the equation:
2x - 5 = 3
Adding 5 to both sides:
2x = 8
Dividing both sides by 2:
x = 4
Now that we know x = 4, we can substitute this value back into either of the original equations to find y. Let's use the first equation:
x + y = 5
4 + y = 5
y = 1
Therefore, the solution to the system of equations is (4, 1).
So, the correct option is: The solution is (4, 1).
What is the value of this discriminant?
Answer:
The answer is A.
Step-by-step explanation:
The formula of discriminant is D = b² - 4ac using ax² + bx + c. In this question, a is 1, b is -4 and c is 4. Then substitute the values into the formula :
D = b² - 4ac
D = (-4)² - 4(1)(4)
= 16 - 16
= 0
Please help ; ) I'll really appreciate it!!!!
Answer:
hi, where is the question?
Step-by-step explanation:
A triangle has sides of lengths 10 24 and 26 is it a right triangle explain what could be the side lenghts
Answer:
It's a right triangle
Step-by-step explanation:
Answer: yes
Step-by-step explanation:
Trust me
Mrs. Holt writes the expression 6/4 + 5/8 . She ask her students to simplify the expression and write the answer as a percentage. The table shows the responses of four students. Which student correctly simplifies Mrs. Holt ‘s expression into percentage?
Answer:
I don't see the table, but if you do 6/4 + 5/8 = 12/8+5/8 = 17/8.
17/8 = 2.125 = 212.5%
Step-by-step explanation:
The student who correctly simplifies the expression should have an answer
of 212.5%
What is a fraction?A fraction is written in the form of p/q, where q ≠ 0.
Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.
Given, Mrs. Holt writes the expression 6/4 + 5/8 .
She asks her students to simplify the expression which is,
= (6/4 + 5/8).
= (2×6 + 1×5)/8.
= (12 + 5)/8.
= 17/8.
And write the answer as a percentage which is,
= (17/8)×100%.
= 212.5%
learn more about fractions here :
https://brainly.com/question/10354322
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