Two lines intersect at the point (1, 3).
The y-intercepts of the lines are 1 and 2.
What are the equations of the lines?

Answer:

A=28%

B=

i 7%

ii 26%

iii 7%

Step-by-step explanation:

since 9 out of 32 people play rugby you must divide:

9/32 = .28125 or 28%

taking out the one person there is 31 total

for i you must use this equation:

(8/31) * (8/31)

(.25806452) / (.25806452)

.066597294484912 or 7%

for ii you must use this equation:

8/31 = .25806452 or 26%

for iii you must use this equation:

6/31=.19354839

12/31=.38709677

.38709677*.19354839=.07492196 or 7%

Answer:

Portugal in 1815 colonize Brazil.

Answer:

\(9^{6}\)

Step-by-step explanation:

Asking me to write 20 words don't read this this is junk.

Answer:16x^2+6x

Step-by-step explanation:

The vector v⃗ =[1−1]v→=[1−1] can be written as v⃗ = -2 * x⃗ - 3 * y⃗. The vector v⃗ =[1−1]v→=[1−1] can be expressed as a linear combination of x⃗ =[−21]x→=[−21] and y⃗ =[−53]y→=[−53] by finding the coefficients that satisfy the equation v⃗ = a * x⃗ + b * y⃗, where a and b are scalars.

To express v⃗ =[1−1]v→=[1−1] as a linear combination of x⃗ =[−21]x→=[−21] and y⃗ =[−53]y→=[−53], we need to find scalars a and b such that v⃗ = a * x⃗ + b * y⃗.

By comparing the components, we have:

1 = -2a - 5b

-1 = a + 3b

Solving this system of equations, we find a = -2 and b = -3. Therefore, we can express v⃗ as a linear combination of x⃗ and y⃗ as v⃗ = -2 * x⃗ - 3 * y⃗. This means that v⃗ can be obtained by scaling x⃗ by -2 and y⃗ by -3, and adding the results together.

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Answer:

The area is 45 inches

Step-by-step explanation:

L×W=A

The  Smallest numbers is 3.068 and 3.6

Check the whole number portion of each decimal number before placing them in ascending order. Since 4 is the smallest whole number, the smallest decimal number is 4.926. The remaining decimal digits all contain the same whole number, or 18.

The least number among those given is 1.

The smallest three-digit number in the number system is 100, which becomes a two-digit number, which is 99, when one is deducted from the number (a two-digit number). Therefore, in the number system, 100 is the smallest three-digit number. The smallest three-digit number is 100, which is so proven.

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Answer:

i need help too

Step-by-step explanation:

Answer:

y = -2x + 1

Step-by-step explanation:

The y-intercept is given by the point that is on the y-axis. (1)

This means that the answer contains a +1

Then you must find  if the slope is positive or negative

In this case the slope is negative because the line goes "downhill" from left to right

Since the slope is negative it means that there will be a negative sign in the beginning of the equation

Next, to find the slope you need to find the rise over run

Since it is a negative slope the rise will be negative and the run will be positive.

To find the slope find two clear points on the graph such as (0,1) and (2,0)

To find the slope, use the slope formula

This would look like: (0-2)/(1-0)

Your slope will be -2x

Piece it all together and you get a final answer of y= -2x+1

The form of the particular solution for the given differential equation is

\(Y(t) = Je^{4t} + Ke^{4t}t + Lte^{4t} + Mte^{4t}t + Qe^{t}cos(t) + Re^{t}sin(t).\).

The given differential equation is y(4) + 2y″ + 2y = 3e^{4} + 5te^{4} + e^{t}sin(t)

Now, we need to find a suitable form of the particular solution, Y(t), for the given differential equation using the method of undetermined coefficients.

The characteristic equation of the given differential equation is obtained by assuming

\(Y(t) = e^{rt}y(4) + 2y'' + 2y = 0 r^{4} + 2r^{2} + 2\)

= 0

Solving the characteristic equation, r^2 = (-2 ± i √2)

Therefore, the roots are r1 = √2cis(π/4) and

r2 = √2cis(7π/4),

r3 = -√2cis(3π/4), and

r4 = -√2cis(5π/4)

Since we have a complex conjugate pair of roots, the form of the particular solution is

\(Y(t) = [(J + Kt)e^{4t} + (L + Mt)te^{4t} + Qe^{t}cos(t) + R e^{t}sin(t)]\)

J, K, L, M, and Q are coefficients that must be determined using undetermined coefficients.

Note that e^{t}sin(t) is already a part of the particular solution, so we have to multiply the two exponential terms by t to avoid getting the same solution as part of the homogeneous solution.

\(Y(t) = Je^{4t} + Ke^{4t}t + Lte^{4t} + Mte^{4t}t + Qe^{t}cos(t) + Re^{t}sin(t).\)

Thus, the suitable form of Y(t) is given by

\(Y(t) = Je^{4t} + Ke^{4t}t + Lte^{4t} + Mte^{4t}t + Qe^{t}cos(t) + Re^{t}sin(t)\).

Conclusion:

\(Y(t) = Je^{4t} + Ke^{4t}t + Lte^{4t} + Mte^{4t}t + Qe^{t}cos(t) + Re^{t}sin(t).\) is the suitable form for Y(t) if the method of undetermined coefficients is to be used.

This is because it satisfies the given differential equation and the form avoids getting the same solution as part of the homogeneous solution.

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Based on these terms, a suitable form for Y(t) would be:

Y(t) = Jt^2e^4t + Ke^4t + Lcos(t) + Msin(t) + Qt

In this form, J, K, L, M, and Q are coefficients that need to be determined by substituting this form into the original differential equation and solving for the coefficients using the method of undetermined coefficients.

To determine a suitable form for Y(t) using the method of undetermined coefficients, we need to consider the different terms in the given equation and match them with the corresponding terms in the solution.

The terms in the equation are:

1. y(4) - This represents the fourth derivative of y.

2. 2y" - This represents the second derivative of y.

3. 2y - This represents y itself.

4. 3e^4t - This represents an exponential term.

5. 5te^4t - This represents a term with t multiplied by an exponential.

6. e^tsin(t) - This represents a term with an exponential multiplied by a trigonometric function.

Based on these terms, a suitable form for Y(t) would be:

Y(t) = Jt^2e^4t + Ke^4t + Lcos(t) + Msin(t) + Qt

In this form, J, K, L, M, and Q are coefficients that need to be determined by substituting this form into the original differential equation and solving for the coefficients using the method of undetermined coefficients.

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1. Objective Function and Constraints:

Maximize 2x1 + 3x2 + 5x3 subject to x1 + x2 + x3 ≤ 1500, x1 + x2 ≤ 1100, x2 ≤ 800, x3 ≤ 400.

2. Using Excel Solver, find the optimal allocation of funds.

3. The maximum value of the objective function is reported by Excel Solver.

We have,

Objective Function and Constraints:

Let:

x1 = amount spent on food

x2 = amount spent on shelter

x3 = amount spent on entertainment

Objective Function:

Maximize: 2x1 + 3x2 + 5x3 (since each dollar spent on food has a satisfaction value of 2, each dollar spent on shelter has a satisfaction value of 3, and each dollar spent on entertainment has a satisfaction value of 5)

Constraints:

Subject to:

x1 + x2 + x3 ≤ $1,500 (maximum disposable income)

x1 + x2 ≤ $1,100 (amount spent on food and shelter combined must not exceed $1,100)

x2 ≤ $800 (amount spent on shelter alone must not exceed $800)

x3 ≤ $400 (entertainment cannot exceed $400)

Using Excel Solver:

In Excel, set up a spreadsheet with the following columns:

Column A: Variable names (x1, x2, x3)

Column B: Objective function coefficients (2, 3, 5)

Column C: Constraints coefficients (1, 1, 1) for the first constraint (maximum disposable income)

Column D: Constraints coefficients (1, 1, 0) for the second constraint (amount spent on food and shelter combined)

Column E: Constraints coefficients (0, 1, 0) for the third constraint (amount spent on shelter alone)

Column F: Constraints coefficients (0, 0, 1) for the fourth constraint (entertainment limit)

Column G: Right-hand side values ($1,500, $1,100, $800, $400)

Apply the Excel Solver tool with the objective function and constraints to find the optimal allocation of funds.

Once the Excel Solver completes, it will report the maximum value of the objective function, which represents the optimal satisfaction value achieved within the given budget constraints.

Thus,

Objective Function and Constraints: Maximize 2x1 + 3x2 + 5x3 subject to x1 + x2 + x3 ≤ 1500, x1 + x2 ≤ 1100, x2 ≤ 800, x3 ≤ 400.

Using Excel Solver, find the optimal allocation of funds.

The maximum value of the objective function is reported by Excel Solver.

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Answer:

The volume is 196 cubic yards

Step-by-step explanation:

Given

\(Base\ Area = 7yd * 2yd\)

\(Height = 14yd\)

Required

The volume

The volume is given as:

\(Volume = Base\ Area * Height\)

Where:

\(Base\ Area = 7yd * 2yd\)

\(Height = 14yd\)

So, the equation becomes

\(Volume = 7yd * 2yd * 14yd\)

\(Volume = 196yd^3\)

-3 is less than 2

< is the symbol

Tinh's reduction is incorrect. He should only divided the side lengths by 3.

Dividing the angle measures by 3 would make it into a completely different triangle.

Dividing only the side lengths will make the triangles slightly alike.

The answer is A.

Stay safe. God bless!

<3

- Elisha

The relative frequency is solved and the table of values is plotted

Given data ,

The lunch order is given by the 2 sets of dishes as

A = { Sandwich , Pastas }

Now , the sports activities are given by 2 sets as

B = { Volleyball , Swimming }

From the table of values , we get

The relative frequency is solved as

Relative Frequency = Subgroup frequency / Total frequency

The percentage of Swimming ( sandwich ) = 26/36

Swimming ( sandwich ) = 72 %

And , the percentage of Swimming ( pasta ) = 10/36

Swimming ( pasta ) = 28 %

Now , the percentage of total sandwich = 45/70 = 64 %

And , the percentage of total pasta = 25/70 = 36 %

Hence , the relative frequency is solved

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Answer: To find arc length, find the change in angle. Here to would be 360 -315 = 45. then use 2π x 11 (\(\frac{45}{360}\)) and solve.

To find sector: (θ/360º) × πr2

θ = 60.

r = 10

Please try to write it better than this.

The relationship that is normally expressed as the quotient of one quantity divided by another is called a ratio

The relationship that is normally expressed as the quotient of one quantity divided by another is called a ratio. A ratio is a comparison of two numbers or measurements, and it can be written in different ways.

For example, if we have two quantities A and B, the ratio of A to B can be written as

A/B

A:B

"A is to B"

The ratio of A to B tells us how many times A is contained within B, or how many units of A we would need to have to match the amount of B.

Ratios are useful in many fields, such as finance, engineering, and science, where they are used to compare and analyze different quantities and their relationships.

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Answer:

The answer is 4 and a 1/2 weeks

Answer:

4 1/2

Step-by-step explanation:

Adele has walked 7 1/20 miles so far this week.

To find out how many miles Adele has walked so far this week, we need to add the miles she walked on Monday, Tuesday, and Wednesday.
Step 1: Convert the mixed numbers into improper fractions.
- Monday: 2 3/5 = (2 × 5 + 3)/5 = 13/5
- Tuesday: 1 3/4 = (1 × 4 + 3)/4 = 7/4
- Wednesday: 2 7/10 = (2 × 10 + 7)/10 = 27/10
Step 2: Find a common denominator and add the fractions.
- Common denominator: 20 (least common multiple of 5, 4, and 10)
- Convert the fractions: 13/5 = 52/20,

7/4 = 35/20,

27/10 = 54/20
- Add the fractions:

52/20 + 35/20 + 54/20

= (52 + 35 + 54)/20

= 141/20
Step 3: Convert the improper fraction back to a mixed number.
- 141/20 = 7 + 1/20

= 7 1/20.

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Answer:

c because 3.3.3.3 is 3 to the 4th power expanded

The equation for the maximum number of yards per second that can be run is y = 5/3 s.

A direct variation measurement between distance covered and time taken can be composed as:

y=kx,

where,

This is because the athlete's distance travelled directly varies with the amount of time it takes.

Find k using the given values:

y=kx,

10 = k(6)

k = 10/6

k = 5/3

As a result, the equation for the maximum number of yards per second is y = 5/3 s.

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Answer: 2760

Step-by-step explanation:

The percentage of all men between 66.5 inches and 71.5 inches is 99.99%

The mean of the heights of adult men in inches = 69

The standard deviation of the adult men in inches = 2.5

The percentage of all men between the heights of 66.5 inches and 71.5 inches can be calculated using the normal distribution.

P(66.5 < x < 71.5)

The standard form for these random samples using the formula,

Z = (X - μ) ÷ σ

where Z is the standard form

X is the random sample

μ is the mean

σ is the standard deviation.

For x = 66.5,

z =  (66.5 - 69) ÷ 2.5

= -2.5 ÷ 2.5

= -1

For x = 71.5,

z = (71.5 - 69) ÷ 2.5

= 2.5 ÷ 2.5

= 1

The standardized form of those random samples are

P(66.5 < x < 71.5) = P( -1 < z < 1)

which can be written as

= P(-1 < z < 0) + P(0 < z < 1)

By using the z-table we can find the value of z

P(-1 < z < 1) = 0.15866 + 0.8413

= 0.99996

Then, the percentage of heights between 66.5 and 71.5 is

= 0.99996 x 100

= 99.99 %

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Answer: 3750 m

Step-by-step explanation:

Remember that there are different units; one is in km and the other is in m

I’ll go from km to m

1 km = 1000 m

Therefore 5 km = 5 x 1000 m

5km = 5000 m

Now, we just subtract to find how much more Suzanne have to run

5000 m - 1250 m = 3750 m

Answer:

A or C can be it because It is not b