If a piece of fruit is randomly picked out of a covered bowl with 4 mangoes, 6 oranges, and 1 jack fruit, what is the probability that the piece of fruit picked is an orange?

Answer:

A

Step-by-step explanation:

I took the test so yeah hope this helps

Answer:

f(x) = x³ +4x²+10

f'(x) = 3x²+8x

the critical point is that x value that has zero to be the first derivative function

3x²+8x = 0

when we factorize

x(3x+8) = 0

x = 0

3x+8 = 0

3x = -8

x = -8/3

at critical point when f"(x)>0, that is our minima

when f"<0 that is the maxima

f'(x) = 3x²+8x

f''(x) = 6x + 8

f"(0) = 8>0

the point x = 0 is minima point

f"(x) = -8/3 = -8<0 is Maxima

x coordinate of maxima = -8/3

Answer juvhfVO"zohgvjozi nandish pro nbhvmno

Answer:

2^2 = 4

Step-by-step explanation:

2*2 = 4

Answer:

i think its a and d

Step-by-step explanation:

Answer:

no picture.

Step-by-step explanation:

no picture

The value of m that satisfies the equation -3 + m = 9 is m = 12.

To solve the equation -3 + m = 9, we can isolate the variable m by moving the constant term -3 to the other side of the equation.

-3 + m = 9

To move -3 to the other side, we can add 3 to both sides of the equation:

-3 + 3 + m = 9 + 3

Simplifying, we have:

m = 12

Therefore, the value of m that satisfies the equation -3 + m = 9 is m = 12.

None of the provided answer options (A, B, C, D) match the correct solution.

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Step-by-step explanation:

0.001374

standard form means writing a value in shortened form, because sometimes values are too big or small to be written, so we use standard form.

in standard for the decimal always comes after the first digit

so,

\(1.374 \times {10 }^{ - 3} \)

the decimal moves 3 digits to the right so it becomes ten raised to the power minus 3.

Answer:

The expression 56 with a variable of -1 is not well defined. The term 56 is a constant number, and the variable of -1 is also a constant. Therefore there is nothing to evaluate.

Step-by-step explanation:

If you want to evaluate the expression 56*(-1) it would give -56 as output because -1 is a scalar and multiplying with a scalar will change the sign of the constant 56 but it won't change its value.

In other words, to evaluate an expression, it needs to have a mathematical operation or function, operands, and/or variables that can be replaced with values or expressions. Without any operation, there's nothing to evaluate.

Answer:

$30.60

Step-by-step explanation:

So when a problem says some price is x% off, it means the current price is now (100-x)% of the original value. So if the shirt is 15% off, the current price is 85% the original value. To find 85% of a number you simple convert the percentage into a decimal, by dividing it by 100 and multiply that decimal by the value. So in this case 85/100 = 0.85. And then 0.85 * 45 = 38.25. Now that it reduces its price by 20%, it's 80% the original value. 38.25 * 0.8 = 30.60.

To find the location of Mac's house, we need to first find the point that is 1/3 of the distance from Nate's house to the park. We can use the midpoint formula to do this:

Midpoint = [(x1 + x2)/2, (y1 + y2)/2]

where (x1, y1) is the location of Nate's house and (x2, y2) is the location of the park.

Using the formula, we get:

Midpoint = [(-4 + 12)/2, (6 + 4)/2] = [4, 5]

This midpoint is exactly halfway between Nate's house and the park. To find the point that is 1/3 of the distance from Nate's house to the park, we need to go 1/3 of the distance from Nate's house to the midpoint.

The distance between Nate's house and the midpoint can be found using the distance formula:

Distance = √[(x2 - x1)² + (y2 - y1)²]

where (x1, y1) is the location of Nate's house and (x2, y2) is the midpoint.

Using the formula, we get:

Distance = √[(4 - (-4))² + (5 - 6)²] = √128

To find the point that is 1/3 of the distance from Nate's house to the midpoint, we can divide the distance by 3 and move that distance from Nate's house towards the midpoint.

The coordinates of the point that is 1/3 of the distance from Nate's house to the midpoint are:

[(4 - (-4))/3, (5 - 6)/3] = [8/3, -1/3]

To find the location of Mac's house, we need to go 2/3 of the distance from the midpoint to the park, in the opposite direction. The coordinates of Mac's house are:

[(4 + 2/3), (5 - 2/3)] = [22/3, 14/3]

Therefore, the location of Mac's house is (22/3, 14/3).

Answer:

Four times the difference of a number and 5 means equates to: 4(x-5), with x being the unknown number. You also know that this equation is equal to the number, x, increased by 4. So you now know that 4(x+5) is equal to (x+4

Answer:

40

Step-by-step explanation:

A rhombus diagonals form perpendicular angles. It also bisects and form 4 right triangles. Looking at triangle MAS, we can use pythagorean theorem to find the side MA.

\(ms {}^{2} + sa {}^{2} = {ma}^{2} \)

ms=6, sa =8 so we plug that in.

\(6 {}^{2} + {8}^{2} = ma {}^{2} \)

Simplify

\(36 + 64 = ma {}^{2} \)

\(100 = ma {}^{2} \)

take sqr root

\( \sqrt{100} = ma\)

\(ma = 10\)

Now let find the perimeter

Since perimeter of a Rhombus is 4a where a is the length of a side. We plug it in

\(4(10) = 40\)

The answer is 40

Answer:

Step-by-step explanation:

side AB is congruent to side AX

this means that the angle ∠A = 4x is the same angle as ∠Z

therefore ∠A = ∠Z = 4x

inside angle of a triangle = 180

∠A + ∠B + ∠Z = 180

4x + 7x + 4x = 180

15x = 180

x = 180/15

x = 12

now substitute x = 12 into angle B

∠B = 7x

∠B = 7 (12)

∠B = 84

Answer:

w<13

Step-by-step explanation:

Works identically to a normal single-variable equation.
Subtract 7 on both sides in order to isolate w--->w+7-7<20-7
The answer (which cannot be simplified any further) is w<13.

Answer:

w < 1`3

Step-by-step explanation:

Isolate the variable w on one side of the inequality sign.

w+7<20

w<20 - 7

w<13.

Answer:

X = -6 - 3y

Y = -1

Step-by-step explanation: Solve for X first using basic algebra. Plug in X vaalue to original equation and solve. -6 - 3y + 3y = -6. Solve by adding 6 to both sides of the equation and dividing -3y by 3y.

Answer:

I don’t understand this

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

Plug it in:

\(\frac{58+48+24+156}{324} =0.88271604049=0.883\)

Answer:

6 units

Step-by-step explanation:

Thank u to everyone who helped me!

I hope this photo helps ;)

Answer:

A. Function Only

Step-by-step explanation: There is no repeated x terms in the pairs listed so its function only

Answer:

2.5

Step-by-step explanation:

Answer:

5/2

Step-by-step explanation:

To divide fractions, you flip the second fractions and change it to multiplication.

(3/2) / (3/5) =

(3/2) x (5/3)

To multiply them, you just multiply their numerators together to get the new numerator and multiply the denominators together to get the new denominator.

(3/2) x (5/3) =

(3 x 5) / (2 x 3) =

15/6

This can be reduced to:

5/2

Decentralization is a management approach that involves the delegation and assignment of decision-making rights from top levels of management to lower levels of management. Option A

It is an effective way to empower employees and to improve decision-making processes within an organization. The benefits of decentralization include the following:

It empowers more employees at lower levels of management: Decentralization allows employees to take ownership of their work, to be more accountable, and to make decisions that are in the best interest of the organization. This, in turn, leads to improved job satisfaction, employee engagement, and better overall performance.

It allows for better and more timely decision-making: Decentralization ensures that decisions are made closer to where the work is being done. This leads to faster decision-making, improved responsiveness to changes in the market, and better coordination between different departments and teams.

It trains future managers: Decentralization provides employees with the opportunity to gain valuable management experience, which can help prepare them for future leadership roles within the organization.

However, one benefit of decentralization that is not accurate is that it forces top levels of management to focus on individual units. In fact, decentralization can free up top management to focus on the big picture and long-term strategy, rather than getting bogged down in day-to-day operations.

In conclusion, decentralization is a useful management approach that can help organizations improve decision-making, empower employees, and train future managers.

By delegating decision-making rights to lower levels of management, organizations can improve overall performance and become more adaptable to changes in the market.

So Option A is correct.

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complete question:

The benefits of decentralization i.e. delegation and assignment of decision rights include all of the following except:

a it forces top levels of management to focus on individual units

b it empowers more employees at lower levels of management

c it allows for better and more timely decision making

d it trains future managers

Answer: 11/9

Step-by-step explanation:

you would cross out the two 4s(using butterfly method) and make them 1s. So 11 x 1 and 1 x 9 = 11/9

Answer:

11/4 times 4/9 is 11/9

Step-by-step explanation:

We have to find,

(11/4) times 4/9

\((11/4)(4/9) = (11*4/4*9)\)

We can cancel the 4s from the numeratorand denominator to get,

\((11*4/4*9) = (11*1/1*9) = 11/9\\=11/9\)

The answer is 11/9

a) The algebraic fraction \(\frac{{x + 2}}{{(x - 1)^2}}\) is proper. b) The algebraic fraction \(\frac{{4x^2 - 31x + 59}}{{(x - 4)^2}}\) can be expressed as \(-\frac{{31}}{{x - 4}} - \frac{{25}}{{(x - 4)^2}}\).

Let's solve each part step by step and determine whether the fraction is proper or improper, and then express it accordingly.

a) \(\frac{{x + 2}}{{(x - 1)^2}}\):

Step 1: Determine the degree of the numerator and the denominator:

  - Degree of the numerator = 1 (linear term)

  - Degree of the denominator = 2 (quadratic term)

Since the degree of the numerator is less than the degree of the denominator, the fraction is proper.

Step 2: Express the proper fraction in partial fractions:

\(\frac{{x + 2}}{{(x - 1)^2}} = \frac{A}{{x - 1}} + \frac{B}{{(x - 1)^2}}\).

Step 3: Find the values of A and B:

Multiply both sides of the equation by \(((x - 1)^2)\) to eliminate the denominators:

  (x + 2) = A(x - 1) + B.

Expand the equation and collect like terms:

  x + 2 = Ax - A + B.

Equate the coefficients of like terms:

  Coefficient of x: 1 = A.

  Constant term: 2 = -A + B.

Solve the system of equations to find the values of A and B:

From the coefficient of x, A = 1.

Substituting A = 1 into the constant term equation: 2 = -1 + B, we find B = 3.

Therefore, the partial fraction decomposition is:

  \(\frac{{x + 2}}{{(x - 1)^2}} = \frac{1}{{x - 1}} + \frac{3}{{(x - 1)^2}}\).

b) \(\frac{{4x^2 - 31x + 59}}{{(x - 4)^2}}\):

Step 1: Determine the degree of the numerator and the denominator:

  - Degree of the numerator = 2 (quadratic term)

  - Degree of the denominator = 2 (quadratic term)

Since the degree of the numerator is equal to the degree of the denominator, the fraction is proper.

Step 2: Express the proper fraction in partial fractions:

  \(\frac{{4x^2 - 31x + 59}}{{(x - 4)^2}} = \frac{A}{{x - 4}} + \frac{B}{{(x - 4)^2}}\).

Step 3: Find the values of A and B:

Multiply both sides of the equation by \(((x - 4)^2)\) to eliminate the denominators:

  (4x^2 - 31x + 59) = A(x - 4) + B.

Expand the equation and collect like terms:

  4x^2 - 31x + 59 = Ax - 4A + B.

Equate the coefficients of like terms:

Coefficient of \(x^2\): 4 = 0 (No \(x^2\) term on the right side).

Coefficient of x: -31 = A.

Constant term: 59 = -4A + B.

Solve the system of equations to find the values of A and B:

From the coefficient of x, A = -31.

Substituting A = -31 into the constant term equation: 59 = 4(31) + B, we find B = -25.

Therefore, the partial fraction decomposition is:

  \(\frac{{4x^2 - 31x + 59}}{{(x - 4)^2}} = -\frac{{31}}{{x - 4}} - \frac{{25}}{{(x - 4)^2}}\).

The above steps provide the solution for each part, including determining if the fraction is proper or improper and expressing it in partial fractions.

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The proper subset relationship of the given set A, B and C are in option;

For the given question;

The set are given as;

A = { x | x = 2n + 1, n ∈ R }

This, can be written as for the real number say, n = 0, 1, 2, 3....

A = {1, 5, 7, 9 , 11 ..}

B = { x | x = 4n + 1, n ∈ R }

This, can be written as for the real number say, n = 0, 1, 2, 3....

B = {1, 5, 9, ....}

C = { x | x = 8n + 1, n ∈ R }

This, can be written as for the real number say, n = 0, 1, 2, 3....

C = {1, 9, 17...}

Thus, it is clear from the above relation that,

C contain B and A while B contain some element of A.

Thus, C ⊂ A,  C ⊂ B and B ⊂ A are the correct relationship of the proper subset.

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Answer:

10000

Step-by-step explanation:

100 hugs x 100 hugs

= 10,000 hugs.

Answer:

y = -2x + 6

Step-by-step explanation:

This has sort of the same concept as your earlier question

Use the equation y = mx + b

To find the slope, take the second y value and subtract the first y value. Then take the second x value and subtract the first x value. Divide the answers. You'd get -2 in this case. -2 would be your slope (m).

The substitute any set of x and y values (either (1, 4) or (-2, 10)) and the slope into y = mx + b. You'd get 6 as your y-intercept (b).