Determine the domain of which the following function is increasing

The Volume of each bead is approximately 1.767 mm^3 when rounded to the nearest tenth.

The volume of each bead, the volume of a sphere using its diameter. The formula for the volume of a sphere is given by:

V = (4/3) * π * r^3

where V is the volume and r is the radius of the sphere.

Given that the diameter of each bead is 1.5 millimeters, we can calculate the radius as half of the diameter:

r = 1.5 mm / 2 = 0.75 mm

Now, we can substitute the value of the radius into the volume formula:

V = (4/3) * π * (0.75 mm)^3

Using the value of π ≈ 3.14 and performing the calculations:

V ≈ (4/3) * 3.14 * (0.75 mm)^3

V ≈ (4/3) * 3.14 * 0.421875 mm^3

V ≈ 1.767 mm^3 (rounded to the nearest tenth)

the volume of each bead is approximately 1.767 mm^3 when rounded to the nearest tenth.

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Answer:

\(40x+32y\leq 5,000\\x\geq 0, y\geq 0\)

Step-by-step explanation:

Let the number of acre of corn planted =x

Let the number of acre of soybeans planted =y

Seed costs for a farmer are $40 per acre for corn and $32 per acre for soybeans.

The farmer wants to spend no more than $5,000 on seed.

Therefore the linear inequality is:

\(40x+32y\leq 5,000\\x\geq 0, y\geq 0\)

Next, we graph the inequality

\(When$ x=0, y\leq156.25\\When$ y=0, x \leq 125\)

The graph is attached below.

We want to find an inequality that says how many seeds of each type the farmer can buy.

The inequality is:

$40*x + $32*y ≤ $5,000

The information given is:

Then if he buys seeds for x acres of corn and y acres of soybeans, the total cost is:

cost = $40*x + $32*y

And he wants to spend no more than $5,000, then we have the inequality:

$40*x + $32*y ≤ $5,000

Notice that there are a lot of possible solutions to this inequality, so the inequality actually describes all the different possibilities that the farmer has to not spend more than $5,000 on seeds.

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The answer is option B

Answer:

A. y = x - 3

Step-by-step explanation:

By examining the table, we can see that all y-values have a constant correlation to each x-value by -3. Therefore, the best answer is y = x - 3.

x + 3 would change to y-values to 7, 9, 11, 13.
4x would change the y-values to 16, 24, 32, 40.
x + 2 would change the y-values to 6, 8, 10, 12.

hope this helps!

Answer:To calculate how much money Evie will owe after 12 years, we need to use the formula:A = P(1 + r)^nWhere:

A = the amount owed after n years

P = the initial amount borrowed

r = the annual interest rate as a decimal

n = the number of yearsIn this case, P = £600, r = 24% = 0.24, and n = 12. Plugging these values into the formula, we get:A = 600(1 + 0.24)^12

A = 600(1.24)^12

A = 600(7.8905)

A = £4,734.30 (rounded to the nearest penny)Therefore, after 12 years, Evie will owe approximately £4,734.30

Step-by-step explanation: I Helped you Can You help me

Answer:

the answer is a

Step-by-step explanation:

Answer:

x=36

Divide the corresponding side (16) by 4/7

Answer:

x=36

Divide the corresponding side (16) by 4/7

Step-by-step explanation:

x=16×9/4=36

"If you share 7 apples equally with 3 people, then there are 2 1/3 apples for each person."The whole number 2 represents the number of apples that each person will get when sharing 7 apples equally with 3 people.

The numerator 1 represents the remaining part of an apple that is left after sharing equally among 3 people. The denominator 3 represents the number of persons with whom the apples are being shared equally.

A possible real-life application for the expression 1 ÷ 1/4 is dividing a pizza into quarters and then sharing one slice of pizza equally among a group of people.

To simplify the expression for sharing, we need to remember that dividing by a fraction is the same as multiplying by its reciprocal. So, 1 ÷ 1/4 is equivalent to 1 × 4/1, which simplifies to 4.

Thus, 1 ÷ 1/4 is equal to 4.

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Explanation:

Recall that the range for cosine is from -1 to 1, including both endpoints. The smallest cosine value is what we're after, since we want the height to be as small as possible (to allow the blade be closest to the table).

Effectively, this means we replace the cos(x) with -1 so that it's as small as possible. Then we compute to get:

20*cos(x)+25

20*(-1) + 25

-20 + 25

5

The height of the fan tip is 5 cm when it is the closest to the table.

Side note: On the flip side, the furthest away the fan tip can get is 20*(1) + 25 = 45 cm. Therefore, the range of y values is \(5 \le y \le 45\)

Answer:

a = 0.9

Step-by-step explanation:

For the quadratic equation \(\boxed{ax^2 + bx + c = 0}\) to have exactly one real root, the value of its discriminant, \(\boxed{b^2 - 4ac}\), must be zero.

For the given equation:

\(y = ax^2 - 6x + 10\),

• a = a

• b = -6

• c = 10.

Substituting these values into the formula for discriminant, we get:

\((-6)^2 - 4(a)(10) = 0\)

⇒ \(36 - 40a = 0\)

⇒ \(36 = 40a\)

⇒ \(a = \frac{36}{40}\)

⇒ \(a = \bf 0.9\)

Therefore the value of a is 0.9 when the given quadratic has exactly one root.

The length of v to the nearest 10th of an inch is 2.0 inches.

A triangle is a 2-D figure with three sides and three angles.

The sum of the angles is 180 degrees.

We can have an obtuse triangle, an acute triangle, or a right triangle.

We have,

We can use the Law of Sines,

Which states that for any triangle ABC:

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

where a, b, and c are the lengths of the sides of the triangle opposite the angles A, B, and C.

Now,

a = UV = u = 3.4 inches

A = ∠TUV

  = 180° - m∠U - m∠V

  = 180° - 144° - 35°

  = 1°

B = ∠UTV

   = m∠U

   = 144°

C = ∠TVU

  = m∠V

  = 35°

Using the Law of Sines,

v/sin(C) = u/sin(B)

Substituting in the values.

v/sin(35°) = 3.4/sin(144°)

Solving for v.

v = (3.4 × sin(35°)) / sin(144°)

v = 1.97 inches

Therefore,

The length of v to the nearest 10th of an inch is 2.0 inches.

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Answer:

No

Step-by-step explanation:

If you are just seeking answers, you are basically cheating and trying to get someone to do your work...which will not help you learn the material ....sad.

The x-intercepts represent a zero profit, the maximum value of the graph represents the maximum profit, An approximate average rate of change of the graph from x=3  to x=5 represents the reduction in profit from 3 to 5 and the domain is constrained by x=0.

Part A:

The x-intercepts represent a zero profit.

The maximum value of the graph represents the maximum profit.

The function increases up till the vertex and decreases after it.

This means that the profit increases as it reaches the peak at the vertex.

It decreases after the vertex up till it reaches zero.

On the left of the first zero and on the right of the second zero, the profits are negative.

Part B:

An approximate average rate of change of the graph from x=3  to x=5 represents the reduction in profit from 3 to 5.

Part C:

Simply, the domain is constrained by x=0.

We are obliged at x=6 .

This is because we have to avoid a negative profit.

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Answer:

Step-by-step explanation:

Opposite angles equal each other, so angle B and angle D are equal.

2x = 74

x = 37

Step-by-step explanation:

the first option is the correct answer.

Answer:

It is A

Step-by-step explanation:

Hope this helped have an amazing day/month/year!

Answer:

65%

Step-by-step explanation:

Answer:

the answer is 81.402 in expanded form using the powers of ten = (8 x 10^1) + (1 x 10^0) + (4/10^1) + (0/10^2) + (2/10^3)

Step-by-step explanation:

The interest is 16% compounded semi-annually, is Rs. 121,179.10.

To determine how much money needs to be deposited now to provide a payment of Rs. 15,000 at the end of each half year for 10 years, we will use the formula for the present value of an annuity.

Present value of an annuity = (Payment amount x (1 - (1 + r)^-n))/rWhere:r = interest rate per compounding periodn = number of compounding periodsPayment amount = Rs. 15,000n = 10 x 2 = 20 (since there are 2 half years in a year and the payments are made for 10 years)

So, we have:r = 16%/2 = 8% (since the interest is compounded semi-annually)Payment amount = Rs. 15,000Using the above formula, we can calculate the present value of the annuity as follows:

Present value of annuity = (15000 x (1 - (1 + 0.08)^-20))/0.08 = Rs. 121,179.10Therefore, the amount that needs to be deposited now to provide payment of Rs. 15,000 at the end of each half year for 10 years, if the interest is 16% compounded semi-annually, is Rs. 121,179.10.

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The  x and y-intercept of the equation [8x - 9y = 15] are ( 15/8, 0 ) and ( 0, -5/3 ) respectively.

Given the equation;

8x - 9y = 15

First, we find the x-intercepts by simply substituting 0 for y and solve for x.

8x - 9y = 15

8x - 9(0) = 15

8x = 15

Divide both sides by 8

8x/8 = 15/8

x = 15/8

Next, we find the y-intercept by substituting 0 for x and solve for y.

8x - 9y = 15

8(0) - 9y = 15

- 9y = 15

Divide both sides by -9

- 9y/(-9) = 15/(-9)

y = -15/9

y = -5/3

We list the intercepts;

x-intercept: ( 15/8, 0 )

y-intercept: ( 0, -5/3 )

Therefore, the  x and y-intercept of the equation [8x - 9y = 15] are ( 15/8, 0 ) and ( 0, -5/3 ) respectively.

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Answer:

3.45

Step-by-step explanation:

you have to do tihis then that

The degree of a vertex is defined as the number of edges that touch the vertex. The (i, j)-th entry of the adjacency matrix tells you whether vertex i touches vertex j (1 if yes, 0 if no). Then the degree of vertex i is equal to the sum of the i-th row in the adjacency matrix.

• vertex 1 : degree = 0 + 1 + 0 + 0 + 1 = 2

• vertex 2 : degree = 1 + 0 + 1 + 1 + 1 = 4

• vertex 3 : degree = 0 + 1 + 0 + 1 + 0 = 2

• vertex 4 : degree = 0 + 1 + 1 + 0 + 1 = 3

• vertex 5 : degree = 1 + 1 + 0 + 1 + 0 = 3

So, the correct answer is A. 2.

Step-by-step explanation:

The equation for circumference is

\(c = 2 \pi r\)

Solve for circumference using the equation.

C = 2(3.14)(13)

C = 81.64 km

The present value of an annuity is :

where :

P = Present Value

PMT = Periodic payments

r = interest rate

n = number of periodic payments

From the problem, we have :

PMT = $13,500

r = 6% or 0.06

n = 9 years = 9 periodic payments

The present value is :

The answer is $91,822.85

Answer:

\(2 + 2 = 4 \\ \\ its \: was \: hepful \\ to \: you \: dear\)

So matrix which show equation 4x+2y=4 is  \(\left[\begin{array}{ccc}4&2&4\\12&-1&26\end{array}\right]\) .

Given that we have an equation that is 4x+2y=4

So equation is a statement that the values of two mathematical expressions are equal (indicated by the sign =).

So in order to write this equation in matrix form we have to write it into augmented matrix

So augmented matrix is a matrix whose elements are the coefficients of a set of simultaneous linear equations with the constant terms of the equations entered in an added column.

Therefore the matrix will be:

\(\left[\begin{array}{ccc}4&2&4\\12&-1&26\end{array}\right]\)    .

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For this question we can discard the options 120º and 125º since the angle is on the first quadrant.

Now we need to find the correct option between 60º and 55º

From the figure given it seems that the best answer is 60º since 55º is not enogh for the inclination of the angle provided

Answer: I think that if it is not 214 than you should just guess and see if that is the correct answer

Step-by-step explanation:

The probability that a subject would guess more than 20 correct in a series of 36 trials is 0.0001

In a series of 36 trials, if the subject is guessing randomly, then the probability of correctly guessing odd or even is 1/2.

Let X be the number of correct guesses in a series of 36 trials. X follows a binomial distribution with parameters n = 36 and p = 1/2.

The probability of guessing more than 20 correct is:

P(X > 20) = 1 - P(X ≤ 20)

Using a binomial distribution table, we can find that P(X ≤ 20) = 0.9999 (rounded to four decimal places).

Therefore: P(X > 20) = 1 - 0.9999 = 0.0001

So the probability that a subject would guess more than 20 correct in a series of 36 trials is 0.0001 (rounded to four decimal places).

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