HELP PLEASE
A farmer has decided to divide his land area in half in order to plant soy and corn. Calculate the area of the entire area so he knows how much soil is needed.


Each bag of soil covers 40 square yards. How many bags should the farmer purchase?

1 bag
2 bags
3 bags
4 bags

The measures of the angles of the rhombus are 106 degrees and 74 degrees.

To find the measures of the angles in the rhombus with the given condition, follow these steps:
1. Let the two angles between a side and the diagonals be x and y. According to the given information, the difference between these angles is 32 degrees, so we can write the equation:

x - y = 32.
2. In a rhombus, the diagonals are perpendicular bisectors of each other. This means that the diagonals divide the rhombus into four congruent right triangles.
3. Since the diagonals bisect the angles of the rhombus, we know that x + y = 180 (the angles are supplementary).
4. Now we have a system of two linear equations:
  x - y = 32
  x + y = 180
5. Add the two equations to eliminate the y variable:
  2x = 212
6. Divide both sides by 2 to find the value of x:
  x = 106
7. Substitute the value of x back into one of the equations to find the value of y (using x + y = 180):
  106 + y = 180
8. Solve for y:
  y = 74
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Since the roots are complex, the general solution of the differential equation can be written as: y(t) = e^(50t/20)(c1cos(√(300)t/20) + c2sin(√(300)t/20))

To solve the initial value problem for the given differential equation 10y'' - 50y' + 65y = 0, we need to find the general solution of the equation and then apply the initial conditions to determine the specific solution.

The characteristic equation for the given differential equation is:

10r^2 - 50r + 65 = 0

Solving this quadratic equation, we find that the roots are complex:

r = (50 ± √(50^2 - 41065))/(2*10)

= (50 ± √(-300))/(20)

= (50 ± √(300)i)/(20)

Since the roots are complex, the general solution of the differential equation can be written as:

y(t) = e^(50t/20)(c1cos(√(300)t/20) + c2sin(√(300)t/20))

Now, let's apply the initial conditions to find the specific solution. Since the problem does not provide the initial conditions, we cannot proceed further without knowing the specific values for y(0) and y'(0).

Please provide the initial conditions, and I'll be able to find the specific solution and check if it satisfies the differential equation and initial conditions.

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Answer:

see explanation

Step-by-step explanation:

A linear function has the form

y = mx + b ( m is the slope and b the y- intercept )

B

the graph has a constant rate of change , measured by the slope m of the linear function.

Answer:

200N

Step-by-step explanation:

Torque is defined as the turning effect of force about a point. It is expressed as;

Torque = Force × radius

T = Fr

Given parameters

Torque = 100Nm

Radius = 0.5metres

Required

Magnitude of the force F

From the formula T = Fr

F = T/r

F = 100Nm/0.5m

F = 100/(1/2)

F = 100 × 2/1

F = 200Newtons

Hence the magnitude of the force in newtons needed to supply 100 newton-meters of torque to the bolt is 200N

The possible values of k are k = 2 and k = -2. These are the values of the constant k for which f(x) is continuous at x = 2.

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output.

To determine the values of the constant k for which f(x) is continuous at x = 2, we need to ensure that the left-hand limit, the right-hand limit, and the value of f(x) at x = 2 are all equal.

First, let's find the left-hand limit as x approaches 2. We evaluate the function for x < 2:

f(x) = x² + 5kx    (for x < 2)

Taking the limit as x approaches 2 from the left side (x < 2), we have:

lim(x→2-) f(x) = lim(x→2-) (x² + 5kx) = 2² + 5k(2) = 4 + 10k

Next, let's find the right-hand limit as x approaches 2. We evaluate the function for x > 2:

f(x) = k²x + 4x + 4    (for x > 2)

Taking the limit as x approaches 2 from the right side (x > 2), we have:

lim(x→2+) f(x) = lim(x→2+) (k²x + 4x + 4) = k²(2) + 4(2) + 4 = 2k² + 8 + 4 = 2k² + 12

Now, let's evaluate the value of f(x) at x = 2:

f(x) = 3k² - 4    (for x = 2)

f(2) = 3k² - 4

For f(x) to be continuous at x = 2, the left-hand limit, the right-hand limit, and the value of f(x) at x = 2 should all be equal. Therefore, we set up the following equation:

4 + 10k = 2k² + 12 = 3k² - 4

Simplifying, we have:

2k² + 8 = 3k² - 4

Rearranging the terms, we get:

k² - 12 = 0

Factoring, we have:

(k - 2)(k + 2) = 0

So, the possible values of k are k = 2 and k = -2. These are the values of the constant k for which f(x) is continuous at x = 2.

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Answer:

If a line is parallel to another line they’ll have the same slope. We can figure out the slope by taking the given equation of a line and changing it to slope-intercept formula.

x + 3y = 15

3y = -x + 15

y = -1/3 x + 5

Now we know the slope of our line is -1/3. We can use this and the given point to calculate our y-intercept, commonly known as b in the slope-intercept formula.

-5 = -1/3 (-6) + b

-5 = 2 + b

-7 = b

Now that we know our slope, m, and our y-intercept, b, we can write the equation of the line.

y = mx + b

y = -1/3 x - 7

Step-by-step explanation:

Answer:7.) C  8.) A

Step-by-step explanation:

Answer:

number 8 would be D and 7 would too

Step-by-step explanation:

The sketch of the solid whose volume is given by the iterated integral is given below.

To sketch the solid, we can first look at the limits of integration. The limits of x are from 0 to 1, and the limits of y are from 0 to 1-x. This means that the solid is a right triangular pyramid with base vertices at (0,0), (1,0), and (0,1), and height h given by the function h(x,y) = 101(7-x-5y).

The solid has a straight side along the x-axis and two straight sides along the y-axis, and a curved side for the hypotenuse of the base triangle.

The highest point of the top of the solid occurs at the vertex opposite the base triangle, which is at (x,y,z) = (1/3,1/3,200/3).

The lowest point of the top of the solid occurs at the vertex of the base triangle at (x,y,z) = (0,0,707/3).

Thus, the sketch of the solid is prepared.

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From the calculation, all three inequalities are satisfied, which means that the given measurements produce one triangle.

To determine whether the given measurements produce one triangle, two triangles, or no triangle at all, we can use the Law of Sines and the Triangle Inequality Theorem.

Given:

a = 10

b = 13.6

A = 33°

Determine angle B:

Angle B can be found using the equation: B = 180° - A - C, where C is the remaining angle of the triangle.

B = 180° - 33° - C

B = 147° - C

Apply the Law of Sines:

The Law of Sines states that in any triangle, the ratio of the length of a side to the sine of its opposite angle is constant.

a/sin(A) = b/sin(B) = c/sin(C)

We can rearrange the equation to solve for side c:

c = (a * sin(C)) / sin(A)

Substituting the given values:

c = (10 * sin(C)) / sin(33°)

Determine angle C:

We can use the equation: C = arcsin((c * sin(A)) / a)

C = arcsin((c * sin(33°)) / 10)

Apply the Triangle Inequality Theorem:

The Triangle Inequality Theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the remaining side.

In this case, we need to check if a + b > c, b + c > a, and c + a > b.

If all three inequalities are satisfied, it means that the measurements produce one triangle. If one of the inequalities is not satisfied, it means no triangle can be formed.

Now, let's perform the calculations:

B = 147° - C (from step 1)

c = (10 * sin(C)) / sin(33°) (from step 2)

C = arcsin((c * sin(33°)) / 10) (from step 3)

Using a calculator, we find that C ≈ 34.65° and c ≈ 6.16.

Now, let's check the Triangle Inequality Theorem:

a + b > c:

10 + 13.6 > 6.16

23.6 > 6.16 (True)

b + c > a:

13.6 + 6.16 > 10

19.76 > 10 (True)

c + a > b:

6.16 + 10 > 13.6

16.16 > 13.6 (True)

All three inequalities are satisfied, which means that the given measurements produce one triangle.

In summary, with the given measurements of a = 10, b = 13.6, and A = 33°, we can determine that one triangle can be formed. The measures of the angles are approximately A = 33°, B ≈ 147° - C, and C ≈ 34.65°, and the lengths of the sides are approximately a = 10, b = 13.6, and c ≈ 6.16.

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Answer:

\(c \: \: y = 3x - 8\)

if you insert x and y value in equation you can find equation

The Solomon four-group design includes two control groups: one that is not pretested and does not receive treatment, and another that is not pretested but receives treatment.

In the Solomon four-group design, there are two treatment groups and two control groups. The purpose of this design is to examine the interaction effect between pretesting and treatment.

The first control group does not receive any treatment, while the second control group also does not receive treatment but is pretested. These two control groups help to measure the impact of pretesting on the dependent variable.

The two treatment groups receive the treatment being studied, with one group being pretested and the other group not being pretested. By comparing the pretested and non-pretested treatment groups, researchers can determine if there is an interaction effect between pretesting and the treatment.

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Answer:

A for the first one.

Second one, I'm not sure, but I'd guess it'd be A

Step-by-step explanation:

Answer:

x^2(x^2 + 13) +10

Step-by-step explanation:

-x^4+ 13x^2 + 10

=x^4+ 13x^2 + 10

= x^2(x^2 + 13) +10

Answer:

θ  = 28.07°

Step-by-step explanation:

opposite/hypotenuse =sinθ

sinθ  = 8/17

θ = \(sin^{-1}\)(8/17) = 28.07°

Answer:

28.07°

Step-by-step explanation:

For Θ, 8 is the opposite leg.

17 is the hypotenuse.

sin Θ = opp/hyp

sin Θ = 8/17

Θ = sin^-1 8/17

Θ = 28.07°

Therefore, there are 4 vertices in this graph.

Let V be the number of vertices in the graph. The sum of the degrees of all vertices in an undirected graph is twice the number of edges, so in this case, the sum of degrees is 2 * 10 = 20.

We know that two vertices have degree 4, so the degrees of the remaining vertices must add up to 20 - 2 * 4 = 12.

If there are v vertices of degree 3, then the total degree contributed by those vertices is 3v, so we have:

3v + 2 * 4 = 20

3v = 12

v = 4

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Answer:

x= c/a-by/a

Step-by-step explanation:

Answer:

v=Bh

12*8= 96. <---B

2 <----h

v=192

Step-by-step explanation:

I hope that helps

Answer:

y = 1

x = 4

Step-by-step explanation:

x + 3y = 7 → ( 1 )

2x - y = 7 → ( 2 )

First, let us make x the subject in equation ( 1 ).

x = 7 - 3y  → ( 3 )

Let us find the value of y.

For that let us take equation (1) & replace x with ( 7 - 3y ).

2x - y = 7

2 ( 7 - 3y ) - y = 7

Solve the brackets.

14 - 6y - y = 7

Combine like terms.

14 - 7y = 7

Subtract 14 from both sides.

-7y = 7 - 14

-7y = -7

Divide both sides by -7.

y = 1

Let us find value of x

For that let us take equation (3) & replace y with 1.

x = 7 - 3y

x = 7 - 3 × 1

x = 7 - 3

x = 4

1/5

you take 1/4÷ 1 1/4 and you get 1/5

If Ivan can complete the inventory in 2 hours and Justine can complete it in 3 hours, working together they will be able to complete one inventory in approximately 1.2 hours.

To find the time it takes for them to complete one inventory when working together, we can use the formula for the combined work rate:

1/T = 1/A + 1/B

Where T represents the time taken to complete the task, A is Ivan's work rate (in inventories per hour), and B is Justine's work rate (in inventories per hour).

Given that Ivan takes 2 hours to complete the inventory, his work rate is 1/2 inventories per hour. Justine takes 3 hours, so her work rate is 1/3 inventories per hour.

Substituting these values into the formula, we have:

1/T = 1/2 + 1/3

To simplify the equation, we find the common denominator of 2 and 3, which is 6. Multiplying the fractions by appropriate factors, we get:

1/T = 3/6 + 2/6

1/T = 5/6

To isolate T, we take the reciprocal of both sides:

T = 6/5

T = 1.2 hours

Therefore, when Ivan and Justine work together, it will take approximately 1.2 hours to complete one inventory.

To determine how long it will take for Ivan and Justine to complete one inventory when working together, we need to consider their individual rates of work. We are given that Ivan can complete the inventory in 2 hours, which means his work rate is 1 inventory per 2 hours. Similarly, Justine can complete the inventory in 3 hours, giving her a work rate of 1 inventory per 3 hours.

When two people work together on a task, their work rates can be added. In this case, the combined work rate can be calculated by summing Ivan's and Justine's individual work rates:

Combined work rate = Ivan's work rate + Justine's work rate

Combined work rate = 1/2 + 1/3

To find the time it takes for them to complete one inventory together, we can use the formula 1/T = 1/A + 1/B, where T represents the time taken, A represents Ivan's work rate, and B represents Justine's work rate.

Substituting the given work rates into the formula, we have:

1/T = 1/2 + 1/3

To simplify the equation, we find a common denominator of 6 and add the fractions:

1/T = 3/6 + 2/6

1/T = 5/6

To isolate T, we take the reciprocal of both sides:

T = 6/5

T = 1.2 hours

Therefore, when Ivan and Justine work together, it will take approximately 1.2 hours to complete one inventory. Their combined effort allows them to complete the task more quickly compared to working individually, as they can take advantage of their respective work rates.

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Answer: 1, 20!

Step-by-step explanation:

Answer:

answer is 15 and second one i dont know yet sorry am doing scoo

Step-by-step explanation:

A woman you know has five children among which all five  are boys. probability for a woman that she will have all five boy as a five children is  0.5.

The probability or the outcome  in which a women with five children have all the girls and none of them as boys is :-

0.5x0.5=0.25.

So for the  first child there is a a 50% chance that is will be of a male. And same for the  second child being male there will be equal probability that it can be boy so it  also will have a probability .

So the probability of having five females is  0.55=0.03125

Except the above define value all the other outcome or choices means that the women have a least one son in the five children  and the total probability of an event is 1.

.The theoretical probability is mainly reasoning bases which is behind probability. For example, if a coin is tossed then the theoretical probability or the outcome of getting a head will be ½.

Probability provides information about the happening of   something which might happen and might not depending upon the outcome demand happen. Meteorologists, also take the help of probability to predict whether the rain may happen or not for instance In epidemiology, also probability theory is used to understand  about various risk related to life an to demonstrate various relation .

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Answer:

Step-by-step explanation:

The center of a circle is the midpoint of any diameter. The midpoint of a segment has coordinates that are the average of the coordinates of the segment end points.

The length of the radius is the distance from the center to an end point of a diameter. Alternatively, it is half the length of the diameter.

__

Center = (A +B)/2 = ((7, -5) +(-1, 10))/2 = (6, 5)/2 = (3, 2.5)

Radius = 1/2|AB| = 1/2√((7 -(-1))² +(-5 -10)²) = 1/2√(64 +225) = 1/2√289

= 17/2 = 8.5

The center of the circle is (3, 2.5), and the radius is 8.5 units.

__

Additional comment

The differences of diameter end point coordinates are 8 and 15, suggesting the Pythagorean triple {8, 15, 17} will come into play. It does.

Answer:

The circumference of a circle with diameter 80 is 251.3

Step-by-step explanation:

Answer:

2x+8

Step-by-step explanation:

(x+4)(2)

=(x+4)(2)

=(x)(2)+(4)(2)

=2x+8

------------------------------------------------------

Hope this helps

Answer:

honestly i dont know :(

Step-by-step explanation:

Answer:

a: -5

k: 1/4

d: 3

c: 2

\(g(x) =2-\frac{5}{4(x-3)}\)

Step-by-step explanation:

Explanation is in Picture. Reflections across x-axis make a negative.

For b), look up 'Transformations of the 1/x function' and watch the video by Ragini Narasimhan. He explains it well