The final solution is:
(1) Tu=<7, 1, 13>, Tv=<0, -1, 1> and n(u,v)=<14, -7, -7>.
(2) the area of S=Φ(D): Area(S) = 514.39
(3) ∬sf(x,y,z)ds = 190√(294) = 3257.82
What is the double integral?
A multiple integral is a definite integral of a function of several real variables, for instance, f or f.
1. Φ(u,v) gives the parametrization with its x, y, and z components. So, x=7u+4, y=u-v, and z=13u+v.
We can use this to get the tangent vectors by taking the respective partial derivatives.
Tu=<7, 1, 13> by taking the u derivatives of the components, and Tv=<0, -1, 1> by taking the v derivatives of the components.
2. Taking the cross product of Tu and Tv will give the normal vector n(u,v), which is <14, -7, -7>.
3. To find Area(S), you have to multiply the area of D by the magnitude of the normal vector from the previous step. D is the region defined by 0<=u<=5 and 0<=v<=6, so the area of D is 5*6=30.
Multiply this by the magnitude of the normal vector to find that Area(S)=30√(294)
Area(S) = 514.39
4. To integrate, we first must put the initial function in terms of the parameters we found in the first step.
Replace y with u-v and z with 13u+v. Next, multiply this integrand by the magnitude of the normal vector (√294) and apply the given bounds for u (0<=u<=5) and v (0<=v<=6).
From here the problem can be integrated like any other double integral, the final answer being 190√(294).
Hence, The final solution is:
(1) Tu=<7, 1, 13>, Tv=<0, -1, 1> and n(u,v)=<14, -7, -7>.
(2) the area of S=Φ(D): Area(S) = 514.39
(3) ∬sf(x,y,z)ds = 190√(294) = 3257.82
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Complete Question:
Show that Φ(u,v)=(7u+4,u−v,13u+v) parametrizes the plane 2x−y−z=8. Then: (a) Calculate Tu , Tv, and n(u,v). (b) Find the area of S=Φ(D), where D=(u,v):0≤u≤5,0≤v≤6. (c) Express f(x,y,z)=yz in terms of u and v and evaluate ∬sf(x,y,z)ds(a) Tu= , Tv= , n(u,v)=_______________(b) Area(S)=_______(c) ∬sf(x,y,z)ds=___________
Jaon went hopping
He bought a watch and a pair of trainer for a total price of £53. 55
Thi price include a 15% loyalty dicount
Before the dicount, the trainer were priced at £38
Work out the price of the watch before the dicount
The price of the watch before the discount is calculated to be £24.44.
As the total price of the watch and a pair of trainers is £53. 55 and the price of the trainer before the discount was £38, we first calculate the price of the trainers after the discount as follows;
discount on a pair of trainers = 15/100 × 38 = £5.7
cost of trainers after discount = £38 - 5.7 = £32.3
Now the price of the watch after the discount can be calculated by subtraction as follows;
price of watch after discount = total price - price of trainers after discount
price of watch after discount = £53. 55 - £32.3
price of watch after discount = £21.25
Now the price of the watch before the discount can be calculated as follows;
price of watch before discount = £21.25 × 15/100
price of watch before discount = £21.25 + £3.1875
price of watch before discount = £24.44
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Solve the following inequality algebraically: negative 2 less-than startfraction x over 3 endfraction 1 less-than 5 a. negative 9 greater-than x greater-than 12 b. negative 9 less-than x less-than 12 c. negative 2 less-than x less-than 5 d. negative 2 greater-than x greater-than 5
The solution to the inequality algebraically is -9 < x < 12
How to solve the inequality algebraicallyFrom the question, we have the following parameters that can be used in our computation:
negative 2 less-than startfraction x over 3 endfraction 1 less-than 5
Express the statement using numbers and expressions
So, we have the following representation
-2 < x/3 + 1 < 5
Subtract 1 from all sides of the inequality
This gives
-3 < x/3 < 4
Multiply through the inequality by 3
So, we have
-9 < x < 12
Hence, the solution is -9 < x < 12
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Answer:
b. Negative 9 less-than x less-than 12
Step-by-step explanation:
which type of rigid transformation is the equivalent of two reflections across intersecting lines?
a. glide reflection
b. rotation
c. reflection
d. none of these
Answer:
a
Step-by-step explanation:
The equivalent of two reflections across intersecting lines is a glide reflection.
A glide reflection is a combination of a translation and a reflection. It involves moving an object along a line, and then reflecting the object across the same line. Since a reflection is an isometry (a transformation that preserves the distance between points), a glide reflection is also an isometry.
In contrast, a rotation is a transformation that involves turning an object around a fixed point, and a reflection is a transformation that involves flipping an object across a mirror line. Neither of these transformations is equivalent to two reflections across intersecting lines.
Therefore, the correct answer is (a) glide reflection.
Simplify the expression.
the linear expression quantity negative 1 over 5 times r minus 6 minus 5 over 7 times r end quantity minus the linear expression quantity negative 3 over 5 times r plus 8 end quantity
negative 53 over 35 times r minus 2
negative 11 over 35 times r minus 2
negative 11 over 35 times r plus negative 14
3 over 35 times r plus negative 14
After solving the equation, the value obtained will be equal to negative 11 over 35 times r plus negative 14. Hence, option C is correct.
What is an expression?If a mathematical operation includes at least two words that are connected by an operator and either comprise numbers, variables, or both, it is referred to as an expression.
The operations with reflection coefficients include adding, subtracting, multiplying, and dividing. To include terms in an expression, a mathematical operation like reduction, addition, multiplication, or division is used.
As per the given statement in the question,
The equation will be,
(-1/5r - 6 - 5/7r) - (-3/5r) - 8
Rearrange the equation with like terms,
-1/5r - 5/7r + 3/5r - 8 - 6
(-7r - 25r + 21r)/35 -14
=-(11/35)r - 14.
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relationship between f(x) , f’(x) , f’’(x) at x
Refer to the photo taken.
Kansas City and Denver are 600 mi
apart. Two cars start from these cities.
traveling toward each other. They meet
after 6 hr. Find the rate of each car if one
travels 30 mph slower than the other.
Answer:
65 mph; 35 mph
Step-by-step explanation:
let x = rate of car 1
x-30 = rate of car 2
distance = rate x time
6x = 600 - 6(x-30)
6x = 600 - 6x + 180
6x = 780 - 6x
12x = 780
x = 780/12 = 65 mph
x - 30 = 65 - 30 = 35 mph
Translate the sentence into an inequality. The sum of 8 and y is greater than or equal to 17.
Answer:
8+y[tex]\geq[/tex]17
Step-by-step explanation:
Identify the type of angle shown
A. Alternate exterior angles
B. Same side interior angles
C. Corresponding angles
D. Alternate interior angles
Help!!!
Answer:
A. Alternate exterior angles
Step-by-step explanation:
Alternate exterior angles are congruent angles that are outside the parallel lines. That is why their name is alternate exterior angles since they are exterior from parallel lines.
Suppose that you are rolling a six sided dice. Let A-get a 3 What is P(A^C)? 2/6
4/6 5/6 1/6 3/6
Answer:
5/6 (option 3)
Step-by-step explanation:
[tex]P(A^C)[/tex] is asking what the complement of A is. This means we are asking what the probability of NOT getting A is. This would be 1 - P(A).
P(A) = The probability of getting a 3 = 1/6
We can solve for the probability of the complement of the A and get:[tex]P(A^C) = 1 - P(A) = 1 - \frac{1}{6} = \frac{5}{6}[/tex]
Thus, the answer is 5/6 (which I believe is the 3rd option you are given)
Please help quick show work and explain
The height of the ball after x seconds is given by the quadratic function presented as follows:
y = -16t² + 8t + 4.
This is a concave down parabola, hence the vertex of the function is the maximum point.
The coefficients of the quadratic function are given as follows:
a = -16, b = 8, c = 4.
Then the x-coordinate of the vertex is given as follows:
x = -b/2a = -8/-32 = 0.25.
The maximum height of the ball is given as follows:
y = -16(0.25)² + 8(0.25) + 4 = -1 + 2 + 4 = 5 feet.
The ball hits the ground when:
y = 0.
Hence:
-16t² + 8t + 4 = 0.
Solving the quadratic equation, the positive solution is given as follows:
t = 0.809 seconds.
The graph of the quadratic function is given by the image shown at the end of the answer.
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HI, i am in 7th grade i really need help this question is confusing
At the start, the water level of the river was 12 centimeters below its normal water level.
After a day of rain, the water level of the river increased by 18 centimeters.
The next 8 days were dry, and the water level of the river dropped by 2.6 centimeters each day.
Enter a numerical expression representing the water level after the 9 -day period.
What is the value of the expression you entered in part A?
What does the value in part B mean in the situation?
The changes in the river water level with reference to the normal water level in the 9-day period is analyzed as follows;
Part A: The numerical expression representing the water level after the 9-day period is; -12 + 18 - 8 × 2.6
Part B; -12 + 18 - 8 × 2.6 = -14.8
Part C; The meaning of -14.8 is that the water level after the 9-day period is 14.8 centimeters below the normal water level.
What is a mathematical expression?A mathematical expression is a collection of numbers and, or variables and operators combined according to the rules of mathematical operations.
Part A
The water level of the river at the start = 12 centimeters below its normal level
The amount by which the water level increases after a day of rain = 18 centimeters
The amount by which the water level reduces in the next 8 days = 2.6 centimeters per day
The numerical expression that represents the water level in the 9-day period is therefore;
-12 + 18 - 8 × 2.6
Part B
The value of the expression -12 + 18 - 8 × 2.6 is; -12 + 18 - 8 × 2.6 = -14.8
Part C
The meaning of the value -14.8 is that the water level after the 9-day period is 14.8 centimeters below the the normal water level of the river
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The right triangle on the right is a scaled copy of the right triangle on the left. Identify the scale factor. Express your answer as a whole number or fraction in simplest form.
The scale factor will be 1/4.
What is mean by Fraction?A fraction is a part of whole number, and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called fraction. It can be written as the form of p : q, which is equivalent to p / q.
Given that;
The right triangle on the right is a scaled copy of the right triangle on the left.
Now,
Since, The right triangle on the right is a scaled copy of the right triangle on the left.
Hence, The ratio of their similar sides is equal to the scale factor.
So, We get;
⇒ 2 / 8 = 1 / 4
And, 2 / 8 = 1 / 4
Thus, The scale factor = 1/4.
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Evelyn Everest gave property to her mother Sharon when the adjusted basis of the property was $12,000 and the fair market value was $80,000. Sharon died eight months later when the property was valued at $85,000 and she left the property to Evelyn. What is Evelyn’s basis? If Sharon had died more than a year after receiving the gift when the fair market value was $85,000, what would the basis have been to Evelyn?
Evelyn basis is the adjusted market value of the property and the basis would have been to Evelyn as profit
What is adjusted basis?We should know that adjusted basis is the value of a property after deducting all expenses and taxes from the property.
The Adjusted basis of the property was $12,000
It was given to Sharon at fair value of $80,000
After death of Sharon, the property was worth $85,000
Based on these figures, the basis is a gain of $(85000-80000) to to Evelyn
In conclusion, Evelyn has gained the sum of $(85000-12000)=$73000
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The velocity v of an object dropped from a tall building is given by the formula v = √64d where d is the distance the object has dropped. Solve the formula for d.
The solution for d in the equation v = √64d is d = v²/64
How to determine the solution for d in the equation?From the question, we have the following parameters that can be used in our computation:
v = √64d
Take the square root of both sides
So, we have the following representation
v² = 64d
Divide both sides of the equation by 64
So, we have the following representation
v²/64 = d
Rewrite as
d = v²/64
Hence, the value of d is d = v²/64
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In coordinate plane the point A(-4,8) B(10,1) and C(-2,-7) are reflected over the y-axi to the point A , B ,C repectively what are the coordinate of A, B, and C
The distance formula can be used to determine this distance. The formula d = (x 2 x 1 ) 2 + (y 2 y 1 ) 2 can be used to describe the distance that separates the two points (x 1, y 1) and (x 2, y 2).
Which coordinate sequence is correct?The y-coordinate comes after the x-coordinate in every case. The coordinate grid below demonstrates that the ordered pairs (3,4) and (4,3) are two distinct points!
How are XY coordinates written?Coordinates are written as (x, y), with the x-axis point being written first and the y-axis point following. The expression "along the corridor, up the stairs" may be used to remind some children of this, instructing them to follow the x axis first and then the y.
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If a hypothesis test is significant at level α = 0.05, then what is known for the P-value?P-value > 0.01P-value ≤ 0.05P-value ≤ 0.01P-value > 0.05
If a hypothesis test is significant at level α = 0.05, then the P-value is less than or equal to 0.05 or P-value ≤ 0.05.
The P-value is a measure of the strength of the evidence against the null hypothesis. It is the probability of obtaining a test statistic at least as extreme as the one observed, assuming that the null hypothesis is true. If the P-value is less than or equal to the significance level α, it means that the observed evidence is unlikely to have occurred by chance under the null hypothesis, and we can reject the null hypothesis in favor of the alternative hypothesis.
For example, if the P-value of a hypothesis test is 0.03, it means that there is a 3% chance of obtaining the observed test statistic (or a more extreme one) if the null hypothesis is true. Since this is less than the significance level of 0.05, we can reject the null hypothesis and conclude that there is evidence to support the alternative hypothesis.
Hence, if a hypothesis test is significant at level α = 0.05, then P-value ≤ 0.05.
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A local store is keeping track of service times. The table below shows the number of customers served and the time it took.
Answer: It appears to take the same amount of time to serve each customer
It takes 40 minutes to serve 10 customers.
Step-by-step explanation:
It appears to take the same amount of time to serve each customer
To find the number of minutes it takes
Divide the number of times by the number of customers
16/4 = 4
it takes 4 minutes to serve 1 customer
Find the number of time it takes to serve 10 customer
10*4=40
It takes 40 minutes to serve 10 customers.
Please help me, it’s asap
The price that is 3rd standard above the mean, if the mean is $10000 and the standard deviation is $500 is $18500.
What is mean?Mean is a measurement of a probability distribution's central tendency along the median and mode. It also goes by the name "anticipated value."
Given:
The mean, m = $17000,
The standard deviation, σ = $500
Calculate the 3rd standard deviation as shown below,
3rd standard deviation = mean + 3 × standard deviation
3rd standard deviation = 17000 + 3 × 500
3rd standard deviation = 17000 + 1500
3rd standard deviation = $18500
Therefore, the price that is 3rd standard above the mean, if the mean is $10000 and the standard deviation is $500 is $18500.
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what is the value of the t score for a 99% confidence interval if we take a sample of size 18?
The value of the Confidence interval will be 2.898
The number of standard deviations from the t-mean distribution's is equal to a t-score. The test statistic used in t-tests and regression testing is the t-score. When the data follow a t-distribution, it may also be used to represent how distant an observation is from the mean.
The t-score formula is written as follows:t=¯¯¯x−μS√n t = x ¯ − μ S n , where ¯¯¯x, is the sample mean, is the population mean, S n is the sample size, and x is the standard deviation of the sample. Square root n must be included in the formula.
using tables of t distribution we have
alpha = 1 - 0.99 = 0.01
alpha / 2 = 0.005
df = 17
critical value or value of t score is = 2.898
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The value of the t score is 2.898 for a 99% confidence interval if we take a sample of size 18.
As per the details share in the above question are as bellow,
Confidence level = 99%
Now the significance level will be 100% - Confidence level
Substitute the value in above equation we get,
Thus, Significance level = (100% - 99%)
Significance level= 1%
Significance level=1/100= 0.01
Now the Sample size (n) = 18
Further the degrees of freedom = (n - 1)
Substitute the value in above equation we get,
Degrees of freedom= (18 - 1) = 1
Where, the t score for a 99% confidence interval is given by,
t({0.01/2},17)=2.898
Now calculating the critical value from t table we get,
Critical value or value of t score is = 2.898
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Which pair of points represents a line segment with a slope of and a length of 15 units?
By using slope, it can be calculated that
(-8, -5) and (1, 7) represents a line with slope of [tex]\frac{4}{3}[/tex] and length 15 units
What is slope of a line?
Slope of a line is the tangent of the angle that the line makes with the positive direction of x axis.
If [tex]\theta[/tex] is the angle that the line makes with the positive direction of x axis, then slope (m) is given by
m = [tex]tan\theta[/tex]
For the first option
(-11, 7) and (1, -2)
Slope = [tex]\frac{-2-7}{1 - (-11)}[/tex]
= [tex]-\frac{9}{18}[/tex]
= [tex]-\frac{1}{2}[/tex]
First option is wrong
For the second option
(-2, -6) and (4, 2)
Slope = [tex]\frac{2 - (-6)}{4 - (-2)}[/tex]
= [tex]\frac{8}{6}[/tex]
= [tex]\frac{4}{3}[/tex]
Length =
[tex]\sqrt{(4 - (-2))^2 + (2-(-6))^2}\\\sqrt{36+64}\\\sqrt{100}\\[/tex]
10 units
Second option is wrong
For the third option
(-3, -2) and (9, 7)
Slope = [tex]\frac{7 - (-2)}{9 - (-3)}[/tex]
= [tex]\frac{9}{12}[/tex]
= [tex]\frac{3}{4}[/tex]
Third option is wrong
For the fourth option
(-8, -5) and (1, 7)
Slope = [tex]\frac{7 - (-5)}{1 - (-8)}[/tex]
= [tex]\frac{8}{6}[/tex]
= [tex]\frac{4}{3}[/tex]
Length =
[tex]\sqrt{(1 - (-8))^2 + (7-(-5))^2}\\\sqrt{81+144}\\\sqrt{225}\\[/tex]
15 units
Fourth option is correct
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Jiya’ mother i 12 year more than twice her age. After 8 year, her mother’ age will be 20 year le than three time her age. Find Jiya’ age and her mother’ age
The present age of Jiya whose mother 12 year more than twice her age., is sixteen years and her mother present age is fourty-four years.
We have, Jiya's mother is 12 year more than twice of her age. Let "x years" and "y years" be the present age of Jiya and her mother respectively.
According to problem, 12 + 2x = y --(1)
After 8 years, her mother age = 20 years less then three times of her age.
After 8 years, age of Jiya = (x+8) years.
i.e y + 8 = 3( x+8) - 20 --(2)
we have to calculate the present ages of both. Simplify the equation (2),
y + 8 = 3x + 24 - 20
=> y + 8 = 3x + 4 => y = 3x -4 --(3)
eqution (1) and (3) represent the linear equations so, we solve these linear equations by substitution,
plugging the value of y from( 1) to (3),
12 + 2x = 3x -4
=> 3x - 2x = 12+4
=> x = 16 then y = 12 + 2×16 = 44
Hence, Jiya's age is 16 years and her mother is about 44 years.
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The larget taco contained approximately 1 kg of onion for every 6. 6 kg grilled teak. The total weight of thee two ingredient wa 617. 3 kg. How many kilogram of each ingredient were ued?
The largest taco contained approximately 1 kg of onion for every 6. 6 kg grilled teak. then Amount of grilled steak used: 6.6 (79.17) = 538.356 kg
What is a unit amount in math?
When a price is expressed as a quantity of 1, such as $25 per ticket or $0.89 per can, it is called a unit price. If you have a non-unit price, such as $5.50 for 5 pounds of potatoes, and want to find the unit price, divide the terms of the ratio
1 k + 6.6 k = 617.3
Where “k” is a constant value, a multiplier.
Solving for k:
7.8 k = 617.3
k = 617.3 /7.8
k= 79.17
So:
Amount of onion used:
1 (79.17) = 79.17 kg
Amount of grilled steak used:
6.6 (79.17) = 538.356 kg
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is this parallel, perpendicular, or neither?
Multiple choice math
I believe it would be the first answer choice
a.5n^2
n^2 being "the square of a number"
5n^2 is just multiplying 5 and n^2
in other words the product of the square of a number and 5
A COMPANY THAT MANUFACTURES BATTERIES GURANTEE THEM A LIFE OF 24 MONTHS
1 THE AVERAGE LIFE HAS BEEN FOUND IN TESTS TO BE 33 MONTHS AND A S. D OF 4 MONTHS HOW MANY WILL HAVE BE REPLACED UNDER GURRANTEE IF A NORMAL DISTRIBUTION IS ASSUMED FOR BATTER LIFETIMES
According to the standard normal distribution table, the area under the curve that is 2.25 standard deviations below the mean is approximately 1.22%.
What is standard deviation?Standard deviation is a measure of the spread or dispersion of a set of data. It tells you how much the individual values in the set differ from the mean (average) of the set.
What is the formula to calculate standard deviation?The formula for calculating the standard deviation of a set of n data points:
Standard deviation = sqrt(((x1 - mean)^2 + (x2 - mean)^2 + ... + (xn - mean)^2) / n)
First, we need to calculate the number of standard deviations that the guarantee period of 24 months is from the mean of 33 months. We can do this by subtracting the mean from the guarantee period and dividing by the standard deviation:
(24 - 33) / 4 = -9 / 4 = -2.25
Since we are assuming that the distribution of battery lifetimes is normal, we can use the standard normal distribution table to look up the area under the curve that is 2.25 standard deviations below the mean. This area represents the proportion of batteries that will have to be replaced under the guarantee.
According to the standard normal distribution table, the area under the curve that is 2.25 standard deviations below the mean is approximately 0.0122. This means that approximately 1.22% of the batteries will have to be replaced under the guarantee.
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Arturo is designing a new board game, and is trying to figure out all the possible outcomes. How many different possible outcomes are there if he spins a spinner with 5 equal-sized sections labeled Monday, Tuesday, Wednesday, Thursday, Friday, spins a spinner with four equal-sized sections labeled Red, Green, Blue, Orange, and rolls a fair die in the shape of a cube that has six sides labeled 1 to 6?
There are 6 different possible outcomes.
What is probability ?
The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a claim to be true. A number between 0 and 1 is the probability of an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.
A probability is a number that expresses the possibility or likelihood that a specific event will take place. Probabilities can be stated as proportions with a range of 0 to 1, or as percentages with a range of 0% to 100%.
The party which calls the coin's side wins.
We find it because when we turn a coin very often, humans get half the heads and half the tails.
The chances of swinging the head are 1/2 , and the chances of swinging the tail are 1/2 .
Total outcomes = 2×5×6
= 60
So the final answer is 60
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Ahok purchaed 15. 5kg rice and 3. 250kg ugar from the upermarket. Find the total weight of hi purchae
Using simple mathematical operations we know that Ashok purchased rice and sugar which together weights 18.75kg.
What are mathematical operations?A mathematical function known as just an operation converts zero or more input values into a precisely defined output value.
A quantity of operands affects the operation's arity.
Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction are all referred to as PEMDAS (from left to right).
So, we know that:
Ashok purchased 15.5kg of rice and 3.25 kg of sugar.
Now, the total weight of rice and sugar Ashok purchased is:
15.5 + 3.25
18.75kg
Therefore, using simple mathematical operations we know that Ashok purchased rice and sugar which together weights 18.75kg.
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Two idewalk in a park are repreented by line on a coordinate grid. Two point on each of the line are hown in the table. Sidewalk 1 x y 0 3 2 7 Sidewalk 2 x y 1 5 3 3 (a) Write the equation for Sidewalk 1 in lope-intercept form. (b) Write the equation for Sidewalk 2 in lope-intercept form. (c) I the ytem of equation conitent independent, coincident, or inconitent? Explain. (d) If the two idewalk interect, what are the coordinate of the point of interection? Ue the ubtitution method and how your work
a) The equation is: y = 2x + 3. b) The equations are :Point - slope form: y - 5 = -(x - 1).Slope - intercept form: y = -x + 6. c) The systems are consistent independent. d) The point of intersection is (1, 5).
Linear function
A linear function is defined in slope-intercept formula by the rule presented as follows:
y = mx + b.
In which:
m is the constant rate of change of the function, called slope.
b is the value of y when x = 0, called intercept.
For Sidewalk 1, it is found that:
When x increases by 2, y increases by 4, hence the slope is of m = 2.
When x = 0, y = 3, hence the intercept is of b = 3.
Then the rule is:
y = 2x + 3.
For Sidewalk 2, when x changes by 2, y decays by 2, hence the slope is:
m = -2/2 = -1.
The line goes through point (1,5), hence the equation in point-slope form is:
y - 5 = -(x - 1).
Combining the like terms, the slope-intercept form is:
y - 5 = -x + 1
y = -x + 6.
Since the two lines have different slopes, the system is consistent independent.
The x-coordinate of the intersection is:
-x + 6 = 3 + 2x.
3x = 3
x = 1.
The y-coordinate is:
-x + 6 = -1 + 6 = 5.
Hence the intersection point is:
(1, 5).
More can be learned about linear functions at brainly.com/question/24808124
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how do u solve x+5y=20 and -2x+7y=45 by elimination
Answer:
x = -5; y = 5
Step-by-step explanation:
x + 5y = 20
-2x + 7y = 45
Multiply both sides of the first equation by 2 to get 2x. Write the second equation below it and add the equations. 2x and -2x add to zero eliminating the x terms.
2x + 10y = 40
-2x + 7y = 45
-----------------------
17y = 85
y = 85/17
y = 5
Now use substitution in the first original equation to find x.
x + 5y = 20
x + 5(5) = 20
x = -5
Answer: x = -5; y = 5
You want to apply the filter() function to the variables Cocoa. Percent and Rating. Add the code chunk that lets you filter the data frame for chocolate bars that contain at least 75% cocoa and have a rating of at least 3. 9 points. Filter(Cocoa. Percent >= 75, Rating >= 3. 9)What value for cocoa percent appears in row 1 of your tibble? a. 80% b. 75% c. 88% d. 78%
Answer:
A
Step-by-step explanation: here ya go <3