1. 165.45 ÷ 1000 =
2. 762.78 ÷ 100 =
3. 76.94 ÷ 10 =
4. 14352.89 ÷ 1000=
5. 12.30 ÷ 10 =

Answer: 0

Step-by-step explanation:

Given 4c-y when 4c = 3 and -y = -3

Now on substitution, we get

3-3 = 0

Answer:

8

Step-by-step explanation:

here,

4x+4=9x-36

or,4+36=9x-4x

or,40=5x

or40/5=x

or,8=x

x=8

The force F = r^2k(r^) is not conservative because its curl is nonzero. The force is central because it depends only on r and acts along the radial direction. Since it is not conservative, there is no potential energy function V(r) associated with this force

To determine whether the force F = r^2k(r^) is conservative and central, let's analyze its properties.

A force is conservative if it satisfies the condition ∇ × F = 0, where ∇ is the gradient operator. In Cartesian coordinates, the force can be written as F = Fx i + Fy j + Fz k, where Fx, Fy, and Fz are the components of the force in the x, y, and z directions, respectively. The curl of F is given by:

∇ × F = (∂Fz/∂y - ∂Fy/∂z)i + (∂Fx/∂z - ∂Fz/∂x)j + (∂Fy/∂x - ∂Fx/∂y)k.

Calculating the components of F = r^2k(r^):

Fx = 0, since there is no force component in the x-direction.

Fy = 0, since there is no force component in the y-direction.

Fz = r^2kr^.

Taking the partial derivatives, we have:

∂Fz/∂x = ∂/∂x (r^2kr^) = 2rkr^2(∂r/∂x) = 2rkr^2(x/r) = 2xkr^3.

∂Fz/∂y = ∂/∂y (r^2kr^) = 2rkr^2(∂r/∂y) = 2rkr^2(y/r) = 2ykr^3.

Substituting these values into the curl equation, we get:

∇ × F = (2ykr^3 - 2xkr^3)k = 2k(r^3y - r^3x).

Since the curl of F is not zero, ∇ × F ≠ 0, we conclude that the force F = r^2k(r^) is not conservative.

Now let's determine if the force is central. A force is central if it depends only on the distance from the origin (r) and acts along the radial direction (r^).

For F = r^2k(r^), the force is indeed central because it depends solely on r (the magnitude of the position vector) and acts along the radial direction r^. Hence, it can be written as F = Fr(r^), where Fr is a function of r.

Since the force is not conservative, it does not possess a potential energy function. In conservative forces, the potential energy function V(r) can be defined, and the force can be expressed as the negative gradient of the potential energy, i.e., F = -∇V. However, since F is not conservative, there is no potential energy function associated with it.

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Hello there I hope you are having a great day :)

The Topic Shifting digits:

Shifting digits - Putting a digit in a different place. For a example Take the number 358 you would exchange the number from the hundreds that would equal 838 this meaning that you what to make a bigger number than a small one.

Examples:

1. 358 equal 838

2. 204 equal 402

3. 188 equal 881

You are just making them smaller to a greater number :)

Hopefully that helps you :)

Step-by-step explanation:

this is to make you aware what "power" or "value" is associated with what position in a number.

when I write a number like in the example above

795

then the strongest, most powerful value in the whole number is with the digit in the outmost left position.

the second most powerful with the digit in the next position to the right. and sin on.

and the digit in the outmost right position has the least value.

to make sure that there is no overlap between the positions, every position corresponds to a certain power of 10 level. each position to the left is one level higher, and another level higher and so on.

as we start with 10⁰, the levels go up to number of positions - 1.

3 positions means we go up to 10².

795 = 7×10² + 9×10¹ + 5×10⁰

or

42186 = 4×10⁴ + 2×10³ + 1×10² + 8×10¹ + 6×10⁰

by the way, you know that x⁰ = 1 for any value of x.

if we go into the decimals, then the same principle applies also on the right side of the decimal point. each position further right decreases the exponent of 10 by 1.

23.073 = 2×10¹ + 3×10⁰ + 0×10^-1 + 7×10^-2 + 3×10^-3

it is very important when handling and calculating numbers to stay always very aware of the positions the digits have in the actual number(s). and to combine always only the digits in the right corresponding positions for calculations or comparisons.

bottom line of this exercise above is therefore, if you put a smaller digit into the first position (outmost left), then the number value gets smaller, no matter what you do with the remaining digits in their positions.

and the other way around (bigger digit in the first position makes the number value bigger). it gets smaller or bigger with the associated power of 10.

you can imagine these associated powers of 10 as proponents or "bullies" of the corresponding digits. the bigger the exponent of 10, the stronger and effective the "bully".

on the other end :

even if you put a 9 instead of a 0 into the last (outmost right) position, the number value gets a little bit bigger. it has only the weakest "bully" to "make it heard". it only makes a difference, if the other digits are the same.

e.g.

52760 is smaller than 52769.

but

52770 is bigger than 5276x, no matter what digit you put in for x.

this is what this exercise tries to show you, and the playing around with the numbers should create a "feeling" in you to always think about it, even if it is only sub-consciously.

The sequences of transformations can be used to support Sara's claim that is A; a reflection over the y-axis, followed by a reflection over the x-axis.

The transformation of a function may involve any change.

Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretching (multiplying outputs or inputs), etc.

Given that Sara claims that a sequence of transformations carries Rectangle 1 onto Rectangle 2.

When a graph is reflected along an axis, it says x-axis, then that leads the graph to go just to the opposite side of the axis as if we can see it in a mirror.

If we study it more, then we will find that it is symmetric, however, each point is equidistant from the axis of reflection as that of the image of that point.

Therefore, The sequences of transformations can be used to support Sara's claim that is A; a reflection over the y-axis, followed by a reflection over the x-axis.

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Answer:

isn't it 5?

by counting the lines from C to B

from C to B the length is 5 while the length of D to C is 6

Answer:

g(x)= (2x - 1) • (x + 3) • (x - 5)

Step-by-step explanation:

2x³ + 5x² - 28x - 15 as the product of linear factors is (x - 3)(2x + 1)(x + 5)

Polynomial is an expression involving the operations of addition, subtraction, multiplication of variables.

Types of polynomials are quadratic, linear, cubic and so on.

Since x - 3 is a factor of 2x³ + 5x² - 28x - 15, hence 2x³ + 5x² - 28x - 15 divided by x - 3 gives 2x² + 11x + 5:

2x³ + 5x² - 28x - 15 = (x - 3)(2x² + 11x + 5) = (x - 3)(2x + 1)(x + 5)

Hence, 2x³ + 5x² - 28x - 15 as the product of linear factors is (x - 3)(2x + 1)(x + 5)

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Answer:

The area forrmula for a circle is pi times the radius squared (A = π r²)

Answer:

The formula for calculating the area of a circle is A = π_r_2 where pi (π) equals 3.14 and the radius (r) is half the diameter.

Step-by-step explanation:

The area of a circle is pie times 2

The pie is 3.14

3.14 x 2

Answer:

  (c)  an = 4·(1/3)^(n-1)

Step-by-step explanation:

The explicit rule for a geometric sequence with first term a1 and common ratio r is ...

  an = a1·r^(n-1)

The factor in the recursive rule tells you the common ratio is 1/3, so the explicit rule is ...

  an = 4·(1/3)^(n-1) . . . . . . matches choice C

Answer:

214.6

Step-by-step explanation:

214.557 -> 214.6

Two hundred fourteen and five hundred fifty-seven thousandths to the nearest tenth​ will be 214.6.

Algebra is the study of graphic formulas, while logic is the interpretation among those signs.

Two hundred fourteen and five hundred fifty-seven.

The expression in mathematical form thousandths to the nearest tenth​, we have

⇒ 514.557

⇒ 214.6

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Answer:

the answer is b B decreases the fastest can I get the brainliest answer

Answer:

B

Step-by-step explanation:

THIS IS HOW YOU CAN FIND ANY MISSING ANGLE - ALSO SOLVES FOR X IN THIS QUESTION.

So, a traingle is 180 degrees.

A line is also 180 degrees.

We know that the angles that make up the triangle are 46, 90, and a missing angle

We need to find the missing angle to find x

To find the missing angle, we must subtract the known angles by the 180 degrees of the traingle.

So:

180-90

=

90

90-46

=

44

So we know the missing angle is 44 degrees.

Let subtract the missing angle(44 degrees) by the 180 degrees of the line:

180-44

=

136

THIS IS WHAT ANSWERS THE OPTION METHOD THAT GIVES THE ANSWER

So x equals 136. This is the missing angle x.

So, remember, both the line and the traingle are 180 degrees.

They both need to find the missing value, which we know is 44

The rest of both the triangle and line is 136 degrees.

Well, 136 degrees on the triangle is the known 90+46 degrees.

Since this will be the same on the line, we can think of x as:

90+46

This looks like answer 1.

Hope this helps! :)

Read top part so you can understand how to do future problems, and write in comments if you are confused/need more help.

Answer:

9  7/100

Step-by-step explanation: hope it helps

(a) To guarantee that at least 2 people have a birthday on the same day of the week, at least 8 people must be selected.

(b) To guarantee that at least 6 people have a birthday on the same day of the week, at least 43 people must be selected.

(a) To find the minimum number of people needed to guarantee that at least 2 of them have a birthday on the same day of the week, we can apply the Pigeonhole Principle.

There are 7 days of the week, so each person can have their birthday on one of these 7 days. If we select 8 people, then there are 8 pigeons (people) and 7 pigeonholes (days of the week). Since we have more pigeons than pigeonholes, by the Pigeonhole Principle, at least 2 people must have their birthday on the same day of the week.

(b) Similarly, to find the minimum number of people needed to guarantee that at least 6 of them have a birthday on the same day of the week, we apply the Pigeonhole Principle. Again, there are 7 days of the week, and each person can have their birthday on one of these 7 days.

If we select 43 people, then we have 43 pigeons (people) and 7 pigeonholes (days of the week). Since we have more pigeons than pigeonholes, by the Pigeonhole Principle, at least 6 people must have their birthday on the same day of the week.

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The correct simplification of the expression is  4x¹⁴y¹⁷

Given,

The expression is (2x⁷ y)² (y⁵)³

To distribute the exponent, apply the power rule (ab)ⁿ = aⁿbⁿ

Implement the product rule to (2x⁷y)².

Here, we have a = 2x⁷ , b = y and n = 2

=(2x⁷)² y²(y⁵)³

= 2²(x⁷)² y²(y⁵)³

= 4(x⁷)² y²(y⁵)³

Now exponents should be multiplied while using the product rule.

The product rule is (aˣ)ⁿ = aˣⁿ

We apply this to (x⁷)² and (y⁵)³

So the expression becomes,

=4x⁷·² y² (y⁵·³)

= 4x¹⁴ y² y¹⁵

∵ In exponents we have a rule that if bases are same then powers are added i.e, aˣ aⁿ = aˣ⁺ⁿ

∴ 4x¹⁴ y¹⁵ ⁺ ²

= 4x¹⁴ y¹⁷

Hence we get the answer as 4x¹⁴ y¹⁷

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Answer:

y=2x+2

Step-by-step explanation:

the equation for slope intercept form is y=mx+b where b is the y intercept and m is the slope. From the graph we can see that where x is 0 y is 2 which makes 2 be the y intercept, and when x is 1 y is 4 which then you replace y for 4 and x for 1 which would be 4=m(1)+2,now u subtract 2 from both sides which leaves you with 2=m(1) and m times 1 is m so now your left with 2=m which means the slop is 2

(a) The complete Venn diagram is in the image attatched.

(b) The probability that a number chosen from the universal set is a member of A ∩ B is  1/15 = 6.67 %.

The complete Venn diagram is calculated by applying the following formula.

The given elements of the set include the follow;

U = {odd numbers less than  30}

A = {9, 15, 17, 19 }

B = {5, 15, 25}

C = {9, 15, 21, 27}

The elements of A intercept B, A intercept C and B intercept C is ;

A ∩ B = {15}

A ∩ C = {9, 15}

B ∩ C = { 15}

A ∩ B ∩ C = { 15 }

(b) The probability that a number chosen from the universal set is a member of A ∩ B.

total number of samples in the universal set = {29, 27, 25, 23, 21, 19, 17, 15, 13, 11, 9, 7, 5, 3, 1}

= 15

P (A ∩ B) = 1/15 = 6.67 %

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The provided questions cover various aspects of a 2-period production economy, including the household's problem, firm's problem, market clearing conditions, Social Planner's Problem, competitive equilibrium, and welfare theorems.

(a) The Household's problem is to maximize its utility over two periods subject to its budget constraint. The household's problem can be formulated as follows:

Max U(Co, C1) = log(Co) + ß log(C1)

subject to the budget constraint:

Co + (1+r)C1 ≤ (1+r)Ko + W0 + W1,

where Co and C1 are consumption in period 0 and 1 respectively, ß is the discount factor, r is the interest rate, Ko is the initial capital endowment, W0 and W1 are the wages in periods 0 and 1 respectively.

(b) The Firm's problem is to maximize its profit by choosing the optimal combination of capital and labor. The firm's problem can be formulated as follows:

Maximize F(K, L) - RK - WL,

where F(K, L) is the production function, K is capital, L is labor, R is the rental rate of capital, and W is the wage rate.

(c) The market clearing conditions are:

Capital market clearing: K1 = (1 - δ)K0 + S - C0, where δ is the depreciation rate, S is savings, and C0 is consumption in period 0.

Labor market clearing: L = L0 + L1, where L0 and L1 are labor supplies in periods 0 and 1 respectively.

(d) The Social Planner's Problem is to maximize social welfare, which is the sum of the household's utility and the firm's profit. The Social Planner's Problem can be formulated as follows:

Maximize U(C0, C1) + F(K, L) - RK - WL,

subject to the production function F(K, L) and the market clearing conditions.

(e) A Competitive Equilibrium is a situation where all markets clear and agents (household and firm) make optimal decisions based on prices and market conditions. It is characterized by the following conditions:

Household's problem is solved optimally.

Firm's problem is solved optimally.

Market clearing conditions hold.

(f) To solve the Social Planner's Problem, we need to set up the Lagrangian and solve for the optimal values of consumption, capital, and labor. The Lagrangian can be written as:

L = U(C0, C1) + F(K, L) - RK - WL + λ1[(1+r)K0 + W0 + W1 - Co - (1+r)C1] + λ2[K1 - (1 - δ)K0 + S - C0] + λ3[L - L0 - L1],

where λ1, λ2, and λ3 are the Lagrange multipliers.

(g) To solve the Competitive Equilibrium, we need to determine the prices of capital (R) and labor (W) that clear the markets. This can be done by equating the demand and supply of capital and labor, and solving the resulting equations.

(h) The First Welfare Theorem states that under certain conditions, a competitive equilibrium is Pareto efficient. It implies that a competitive equilibrium is a socially optimal allocation of resources. To verify the theorem, we need to demonstrate that the competitive equilibrium allocation is Pareto efficient.

(i) The Second Welfare Theorem states that any Pareto efficient allocation can be achieved as a competitive equilibrium with appropriate redistribution of initial endowments.

To verify the theorem, we need to show that given an initial Pareto efficient allocation, we can find prices and redistribution of endowments that lead to a competitive equilibrium that achieves the same allocation.

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As W is spanned by n linearly independent vectors in ℝ^n, it means that the dimension of W is also n. This implies that W has the same dimension as ℝ^n, and therefore, W is equal to ℝ^n.

If w is a subspace of rnspanned by n non zero orthogonal vectors, then w is at most n-dimensional because there are only n vectors that can be used to span w. Any vector outside of the span of these n vectors will not be in w. Therefore, the dimension of w is less than or equal to n. Since w is a subspace of rn, which is n-dimensional, w must be a subset of Rn with a dimension less than or equal to n. Therefore, w d Rn. Suppose W is a subspace of ℝ^n spanned by n nonzero orthogonal vectors. This means that W is a vector space that is a subset of ℝ^n, and it can be generated by taking linear combinations of the n nonzero orthogonal vectors. Since the vectors are orthogonal, they are linearly independent, and their linear combinations form a basis for the subspace W.

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Answer:5=0

Step-by-step explanation:

x+5=x

Subtract x from both sides

x+5-x=x-x

Simplify

5=0

No Solution

Answer:

3:1

Step-by-step explanation:

It’s three times the original

Answer:

360 degrees

Step-by-step explanation:

The sum of the INTERior angles of a pentagon equal

      (n-2)(180) = 540

          each angle is then   540/5 = 108

               each is a supplementary angle to the exterior angle

                       so EACH exterior angle is    180 - 108 = 72

         there are 5 of these    5 * 72 = 360 degrees

Answer:

The diameter would be 6

Step-by-step explanation:

the radius is half of a diameter, so you would have to double the radius to get the diameter

d=2r

=2(3)

=6

The diameter reaches across the circle, while the radius reaches only half way, so you would have to double the radius to get the diameter (2r)

sorry if this doesnt make sense

take care, stay safe, be careful, and live

stay safe

-Ken Ken (kenma #3)

The solution to the given cubic equation, x³ - 6x² + 7x = 0, is x = 0, x = 4.414 OR x = 1.586

From the question, we are to determine the solution to the given cubic equation.

The given equation is

x³ - 6x² + 7x = 0

Solving the equation

x³ - 6x² + 7x = 0

Factorize the left hand side of the equation

x(x² -6x + 7) = 0

Thus,

x = 0 OR x² -6x + 7 = 0

Solve the equation

x² - 6x + 7 = 0

Using the quadratic formula,

x = [-b ± √(b² - 4ac)] / 2a

From the equation,

a = 1, b = -6, and c = 7

Then,

x = [-b ± √(b² - 4ac)] / 2a

x = [-(-6) ± √((-6)² - 4(1)(7))] / 2(1)

x = [6 ± √(36 - 28)] / 2

x = [6 ± √8] / 2

x = [6 ± 2.828] / 2

x = [6 + 2.828] / 2 OR x = [6 - 2.828] / 2

x = 8.828/2 OR x = 3.172/2

x = 4.414 OR x = 1.586

Hence, the solution is x = 0, x = 4.414 OR x = 1.586

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The number of people who waited at least 6 minutes is given as follows:

50 people.

The height of each bin of the histogram represents the number of observations of the data-set in the desired interval.

The desired outcomes for this problem are given as follows:

Hence the number of people who waited at least 6 minutes is given as follows:

20 + 15 + 10 + 5 = 50 people.

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Answer:15

Step-by-step explanation: