Will give brainliest if correct.

Step-by-step explanation:

steps are in the picture.

Note:if you need to ask question about it i am ready to give you answer.

In order to prove a conjecture is always true is formal proof.

We have given that,

A.) a formal proof

B.) a counter-example

C.) several true examples

D.) an informal proof

We have to prove a conjecture is always true

In order to prove a conjecture is always true, you must show formal proof.

A conjecture is a conclusion or a proposition that is proffered on a tentative basis without proof.

Therefore the first option is correct.

In order to prove a conjecture is always true is formal proof.

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Answer: A- a formal proof

Step-by-step explanation:

just is

Samantha needs to fill her 2 liter pitcher 10 times in order to serve lemonade to ten of her friends.

The formula that can be used to calculate the number of times Samantha needs to fill her 2 liter pitcher to serve lemonade to ten of her friends is: Number of Times Needed = Capacity of Pitcher (2 liters) / Serving Size (200 mL). Therefore, the number of times that Samantha needs to fill her 2 liter pitcher is 10 times. This can be calculated by dividing 2 (liters) by 0.2 (200 mL) which is equal to 10. Therefore, Samantha needs to fill her 2 liter pitcher 10 times in order to serve lemonade to ten of her friends.

Samantha needs to fill her 2 liter pitcher 10 times in order to serve lemonade to ten of her friends.

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Answer:

Step-by-step explanation:

Answer:

An altitude

Step-by-step explanation:

Altitude is a perpendicular line drawn from a vertex to its opposite side.

-y+4x=19

I think that's it but I'm not sure

Answer:

2x-y=20 I hope this is right!

Step-by-step explanation:

2*x

=2x

2*4

=8

y=2x-8(2)

y=2x-16-3

y=2x-20

20+y=2x

-y       -y

20=2x-y

Answer:

14.2cm

Step-by-step explanation:

Complete question:

In circle O, the length of radius OL is 6 cm and the length of arc LM is 6.3 cm. The measure of angle MON is 75°.  

Rounded to the nearest tenth of a centimeter, what is the length of arc LMN?  

Find the diagram attached

arc LN= arc  LM + arc MN

First we need to get the arc MN

length of an arc = theta/360 * 2πr

length of arc MN = 75/360 * 2(3.14)(6)

length of arc MN = 0.20833*37.68

length of arc MN = 7.85

Hence;

arc LN = 6.3 + 7.85

arc LN = 14.15cm

Hence the length of arc LN is 14.2cm

Answer:

Positive

Step-by-step explanation:

Answer:

POSITIVE

Step-by-step explanation:

It's positive because the slope is rising like this /

If it was negative it would be declining like this \

hope that makes sense but I'm 1000% sure it's positive

a) Consider the experiment of picking 3 tax returns at random as 3 related experiments (due to the fact that it is without replacement); then, as for the first time one selects a tax return,

As for the second time we grab a tax return, there are 69 tax returns in total and 9 of them contain errors; thus,

Similarly, as for the third picking round,

Finally, the probability of experiment a) is

Rounded to one decimal place, the probability of event a) is 65.7%

b) Similarly, in the event of all three tax returns containing errors,

Thus,

The probability of event b) is 0.2%. It is quite unusual.

c) The condition 'at least one of those containing errors' includes the cases when 1, 2, or 3 tax returns of the ones selected have errors. Notice that

Therefore,

And we found the probability of picking 3 tax returns without any errors in part a); thus,

The probability of event c) is 34.3%.

d) Analogously to part c), the probability of selecting at least one without errors is

The probability of event d) is 99.8%, and it is not improbable at all.

Every graph with 2 or more nodes contains two nodes with the same degree.

Let's assume the opposite, that every node in the graph has a unique degree. We know that the degree of a node is the number of edges connected to that node. In a graph with n nodes, the maximum degree a node can have is n-1 (when it's connected to all other nodes). Similarly, the minimum degree a node can have is 0 (when it's not connected to any other node).

Now, let's consider two cases:

Case 1: All nodes have different degrees except one.
In this case, there must be a node with degree 0 (not connected to any other node) and a node with degree n-1 (connected to all other nodes). But since we assumed that every node has a unique degree, this is a contradiction. Therefore, this case cannot be true.

Case 2: All nodes have different degrees except two.
In this case, we have two nodes with degrees that are different from all other nodes. Let's call these nodes A and B, and let's assume without loss of generality that deg(A) < deg(B) (i.e., A has a smaller degree than B). Since every node has a unique degree, A is connected to some subset of the nodes that are connected to B. Let's call this subset C. Now, the maximum number of edges that can exist between C and B is deg(B)-deg(A) (since B cannot be connected to any node in C that is already connected to A). But since deg(B)-deg(A) is a positive integer, there must be at least one node in C that is connected to B and A (otherwise deg(A) would not be unique). But this node has the same degree as A, which contradicts our assumption. Therefore, this case cannot be true either.

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Step-by-step explanation:

the equation is y= 2x + 9

yep

Answer:

y = 2x + 9

Step-by-step explanation:

Start with thinking in terms of y = mx + b

First, check for your y-intercept, or where the line crosses the vertical line. This is at y = 9, so 9 is your b term. Then, to find m, find a place where the line crosses a grid square's corner exactly, preferably close to the y-intercept. Count the spaces you need to go up to get to this corner and put it on the numerator (top) of a fraction, and count the spaces you need to go right to do the same, and put that on the denominator. Simplify the fraction if needed. In this case, you should have gotten 2/1 or 4/2, or anything that simplifies down to 2. Put this as your m term in your equation and you're done, because it matches the 3rd option you have.

The optimal output of ice cream that maximizes profits for Lactaid dairy company is 6 units, based on the given cost and revenue functions.



To maximize profits, we need to determine the optimal level of output for ice cream. First, let's find the revenue function for ice cream. The revenue (R) is equal to the price (P) multiplied by the quantity (Q) of ice cream sold. Since the price of ice cream is $6, the revenue function can be expressed as R = 6Q.Next, we can calculate the cost function for ice cream. The total cost (C) function provided is C(M,I) = 10 + 0.2M^2 + 0.5|2. Since we are only interested in ice cream, we can disregard the term involving M. Therefore, the cost function for ice cream simplifies to C(I) = 10 + 0.5|I^2.

Profit (π) is calculated by subtracting the cost from revenue: π = R - C(I). Substituting the revenue and cost functions, we get π = 6Q - (10 + 0.5|I^2|).

To find the output of ice cream that maximizes profit, we need to find the value of I that maximizes the profit function. By differentiating the profit function with respect to I and setting it to zero, we can find the critical points. Solving for I, we get I = ±√(20/3).

Since the quantity of output cannot be negative, we take the positive value of I, which is approximately 2.8868. However, the options provided are discrete values. Among the given options, the closest value to 2.8868 is 6. Therefore, the output of ice cream that maximizes profits is 6.

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Answer:

Kamal 6,000

Kamala 9,000

Krishna 15,000

Step-by-step explanation:

2 + 3 + 5 = 10 units

30,000/10 = 3,000 per unit

2 units = 2 x 3000 = 6,000

3 units = 3 x 3000 = 9,000

5 units = 5 x 3000 = 15,000

y=-1/5x+4 is the equation in slope-intercept form for the line with y-intercept 4 and slope -1/5

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

Given,

y-intercept 4 and slope -1/5

Now y=-1/5x+4

Hence y=-1/5x+4 is the equation in slope-intercept form for the line with y-intercept 4 and slope -1/5

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According to the Alternate Exterior Angles Theorem, when two parallel lines are severed by a transversal, the resultant alternate exterior angles are congruent if and only if the transversal is itself parallel to the two parallel lines.

So, in the figure below, if k ∥ l then

∠1 ≅ ∠7 and ∠4 ≅ ∠6.

Proof.

Since k ∥ l by the Corresponding Angles Postulate,

∠1 ≅ ∠5.

Also, by the Vertical Angles Theorem,

∠5 ≅ ∠7

Then, by the Transitive Property of Congruence,

∠1 ≅ ∠7

You may use the same strategy to demonstrate that ∠4 and ∠6 are equivalent to establish that they are congruent.

It should also be noted that the opposite of this theorem is true; more specifically, if two lines, k, and l, are sliced by a transversal in such a way that the alternative exterior angles are congruent, then k∥l.

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Answer: cot B

Step-by-step explanation: if i am right mark me as brainliest

Answer:

1/6

Step-by-step explanation:

50% is 0.5 or 1/2 so you just multiply 1/3 by 1/2 to get 1/6

Answer:

your answer is 1/6

Step-by-step explanation:

1/3 of 50% so what you do is 1/3*50%  which 50% in fraction form is 1/2

so you do this

\(\frac{1}{2}*\frac{1}{3}\)

and that equals 1/6

thats better

Step-by-step explanation:

e. >

f. <

g. =

h. >

i. =

j. <

.....

Answer:

e. >

f. <

g. =

h. >

i. =

j. <

The fourth vertex's coordinates are as follows: ( 2.1, -3.6)

A coordinate system in geometry is a method for determining the precise location of points or other geometrical objects on a manifold, such as Euclidean space, using one or more numbers, or coordinates.

So, let the missing coordinates be (a,b).

Let's now utilize the midpoint formula to locate the erroneous coordinate.

Let the reference point be (-2.3, 3.6) A.

Let point B be (2.3, 2.2).

(2.1, 2.2) Let C be the point.

The center of AC should be at BD.

Step 1: Locating the AC's midpoint

Middle pint of AC:

(-2.3 + 2.1/2), (-3.6 + 2.2/2)

(0.2/2), (1.4/2)

(-0.1, -0.7)

Let's equate the midpoints in step two.

The BD mid-point:

(a + -2.3/2), (b + 2.2/2) =  (-0.1, -0.7)

(a + -2.3/2) = -0.1

(a -2.3/2) = -0.1*2

a = -0.2+2.3

a = 2.1

(b + 2.2/2) = -0.7

b + 2.2 = -0.7*2

b + 2.2 = -1.4

b = -1.4 -2.2

b = -3.6

Therefore, the fourth vertex's coordinates are as follows: ( 2.1, -3.6)

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Complete question:

Freddy drew a plan for a rectangular piece of material that hehe will use for a blanket. Three of the vertices are ​( -2.3 and −3.6​), ​(−2.3​, and 2.2​), and ​(2.1​, and 2.2​). What are the coordinates of the fourth​ vertex?

Answer: x=1.6

y=4.2

Step-by-step explanation:

5.2x - y = 4.1

1.5x + y = 6.7

we will add both equations and you see that the y is getting cancelled

6.7x=10.8

x=10.8/6.7= 1.6

now in any equation we will replace x with 1.6

5.2(1.6)-y=4.1

8.3-y=4.1

  -y= 4.1-8.3

-y=-4.2  multiply by -1

y=4.2

Answer:

x = 1.61 (Estimated)

y = 4.28 (Estimated)

Step-by-step explanation:

5.2x - y = 4.1

1.5x + y = 6.7

5.2x − y = 4.1

−y = −5.2x + 4.1

y = 5.2x − 4.1

Solve for x:

1.5x + y = 6.7

1.5x + 5.2x − 4.1 = 6.7

6.7x − 4.1 = 6.7

6.7x = 10.8

x = 1.61194

Solve for y:

y = 5.2x − 4.1

y = 5.2 × 1.61194 − 4.1

y = 4.28209

Kerys should substitute the values of k from 0 to 4 (inclusive) in the binomial theorem expression to expand the binomial (2x + y)⁴.

The binomial theorem states the principle for expanding the algebraic expression (x + y)ⁿ and describes it as the total of the phrases involving the unique exponents of the x and y variables. Each word in a binomial expansion has a coefficient, which is a numerical value.

The binomial theorem states that the expansion of the binomial \({(a + b)}^{n}\) is given by the formula:

\(\displaystyle\sum_{k = 0}^{n}{\begin{pmatrix} n \ k \ \end{pmatrix}a^{n - k}b^{k}}\)

The variable n represents the power to which the binomial is raised, in this case n = 4.

The variable k is the exponent of the second term in the binomial (b), in this case y.

So, with k = 0, the term will be aⁿ = (2x)⁴, with k = 1, the term will be

\(a^{(n-1)} b = (2x)^3 y\), and so on.

Therefore, he should substitute the values of k from 0 to 4 (inclusive) in the binomial theorem expression to expand the binomial (2x + y)⁴.

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       For C1(Q) = 3 - 2Q.

        For C2(Q) =  4.

     2. The AVC function

           For C1(Q) = 5/Q + 3 + 20/Q - Q.

           For C2(Q) = 3/Q + 4 + 2/Q.

     3. The AFC function

              For C1(Q)= 5/Q - 20/(5 + 3Q + 20/Q - Q)

              For C2(Q) = 0.

     4.  To find the AC function

        For C1(Q) = (5 + 3Q + 202 - Q^2)/Q + 5/Q - 20/(5 + 3Q + 20/Q - Q).

         For C2(Q) = (3 + 4Q + 2)/Q + 3/Q + 4 + 2/Q.

    5.To find the ATC function

    For C1(Q)= 5/Q² + 3/Q + 20/Q² - Q/Q + 5/Q - 20/(5Q + 3Q² + 20 - Q²)

     For C2(Q)= 3/Q² + 4/Q + 2/Q² + 3/Q + 4/Q + 2/Q.

1. To find the MC function, we take the derivative of the cost functions with respect to Q.

For C1(Q) = 5 + 3Q + 202 - Q^2, MC1(Q) = 3 - 2Q.

For C2(Q) = 3 + 4Q + 2, MC2(Q) = 4.

2. To find the AVC function, we divide the cost functions by Q.

For C1(Q), AVC1(Q) = (5 + 3Q + 202 - Q^2)/Q = 5/Q + 3 + 20/Q - Q.

For C2(Q), AVC2(Q) = (3 + 4Q + 2)/Q = 3/Q + 4 + 2/Q.

3. To find the AFC function, we subtract the AVC function from the ATC function.

For C1(Q), AFC1(Q) = (5 + 3Q + 202 - Q^2)/Q - (5 + 3Q + 202 - Q^2)/(5 + 3Q + 20/Q - Q)

= 5/Q - 20/(5 + 3Q + 20/Q - Q).

For

C2(Q), AFC2(Q) = (3 + 4Q + 2)/Q - (3 + 4Q + 2)/(3/Q + 4 + 2/Q) = 0.

4. To find the AC function, we add the AVC function to the AFC function.

For

C1(Q), AC1(Q) = (5 + 3Q + 202 - Q^2)/Q + 5/Q - 20/(5 + 3Q + 20/Q - Q).

For

C2(Q), AC2(Q) = (3 + 4Q + 2)/Q + 3/Q + 4 + 2/Q.

5. To find the ATC function, we divide the AC function by Q.

For

C1(Q), ATC1(Q) = [(5 + 3Q + 202 - Q²)/Q + 5/Q - 20/(5 + 3Q + 20/Q - Q)]/Q

= 5/Q² + 3/Q + 20/Q² - Q/Q + 5/Q - 20/(5Q + 3Q² + 20 - Q²).

For

C2(Q), ATC2(Q) = [(3 + 4Q + 2)/Q + 3/Q + 4 + 2/Q]/Q

= 3/Q² + 4/Q + 2/Q² + 3/Q + 4/Q + 2/Q.

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Answer:

7x^3 - 7x^2 + 35x

Step-by-step explanation:

7x(x^2-x+5)

7x^3-7x^2+35x

Answer: 3.93701

Step-by-step explanation:

Answer:

10 cm to inches is 3 15/16 inches, or in decimal, is 3.9370 inches

Step-by-step explanation:

The 875 times smaller is 4 x 10−7 than 3.5 x 10−4.

Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,

Summation = addition of two or more numbers or variable

For example = 2 + 8 + 9

Subtraction = Minus of any two or more numbers with each other called subtraction.

For example = 4 - 8

Division = divide any two numbers or variable called division.

For example 4/8

Multiplication = to multiply any two or more numbers or variables called multiplication.

For example 5 × 7.

Given the two quantities 4 x 10−7 and 3.5 x 10−4

Now, if we divide this then

⇒ (3.5 x 10−4)/(4 x 10−7)

⇒ (35/40) × 10³

⇒ 875

Hence "The 875 times smaller is 4 x 10−7 than 3.5 x 10−4".

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Answer:

B. 875

Step-by-step explanation:

Hope this helped

Answer: y = (x - 1) (7x + 5)

Step-by-step explanation:

y = 7x² - 2x - 5     Use the slip and slide method.

y = x² - 2x - 35    Factor

y = (x - 7) (x + 5)  Slide 7 back in, divide -7 by 7 to get -1. Slip 7 into (x + 5).

y = (x - 1) (7x + 5)

The factorized form of the quadratic equation is  y = (7x+5)(x - 1).

A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. In other terms, a "polynomial function of degree 2" is a quadratic function.

To factor the quadratic function, we need to find two binomials whose product is equal to the given quadratic. Here's one way to factor y = 7x² - 2x - 5:

First, we need to find two numbers whose product is 7(-5) = -35 and whose sum is -2. These numbers are -7 and 5, since (-7)(5) = -35 and (-7) + 5 = -2.

Next, we use these two numbers to split the middle term of the quadratic:

y = 7x² - 7x + 5x - 5

Notice that we have a common factor of 7x in the first two terms and a common factor of 5 in the last two terms. We can factor these out to get:

y = 7x(x - 1) + 5(x - 1)

Now, we have a common factor of (x - 1), which we can factor out to get the factored form:

y = (7x + 5)(x - 1)

Therefore, the correct answer is: y = (7x+5)(x - 1).

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