68 out of the 100 employees at the shop are part-time employees. what percentage of the employees at the sports shop work full-time?

Answer:

(9a²)/(4b²)

Step-by-step explanation:

to make it easier, just flip the second fraction and multiply.

so then we have (3a/2b) X (3a/2b)

= (9a²)/(4b²)

Using the mathematical induction it can be proved that that for n ∈ X+ ,1 · 2 + 2 · 3 + ··· + n(n + 1) = n(n + 1) (n + 3)/3.

Mathematical induction is a method of proof. The base case is proven initially, then the inductive step is demonstrated.

Proof by mathematical induction,

The goal is to show that P(n) is correct for all integers n, where P(n) is a statement that depends on n.

The proof by mathematical induction has two stages:

Stage 1: Base Case: the basis for mathematical induction is the initial step. When the statement is accurate for the first value of n, this is proven.

Stage 2: Inductive step: the next step is to show that if the statement is valid for any given value of n, it must also be accurate for the next value of n.

Now, proof for the given series of questions,

1. Base case :

n=1, P(1) = 1·2 = 2

LHS = 1·2 = 2

RHS = 1(1+1)(1+3)/3 = 2

So, LHS = RHS

2. Inductive Hypothesis : Let's assume that the given equation is true for some natural number k.

1 · 2 + 2 · 3 + ··· + k(k + 1) = k(k + 1) (k + 3)/33.

Inductive Step, we need to show that the given equation is valid for k+1.

LHS = 1 · 2 + 2 · 3 + ··· + k(k + 1) + (k + 1)(k + 2)

RHS = k(k + 1) (k + 3)/3 + (k + 1)(k + 2)

LHS = RHS

1 · 2 + 2 · 3 + ··· + k(k + 1) + (k + 1)(k + 2)

= k(k + 1) (k + 3)/3 + (k + 1)(k + 2)1 · 2 + 2 · 3 + ··· + k(k + 1) + (k + 1)(k + 2)

= (k + 1)[k(k + 3)/3 + (k + 2)]1 · 2 + 2 · 3 + ··· + k(k + 1) + (k + 1)(k + 2)

= (k + 1)(k + 3)(k + 2)/3

Therefore, we can conclude that for n ∈ X+ ,1 · 2 + 2 · 3 + ··· + n(n + 1) = n(n + 1) (n + 3)/3.

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The slope of the line in 1. is -3/4 and the slope of 2. is 9/10.

Understanding what slope is is among the most crucial things to know about lines. The line's slope, also referred to as rise over run, is how "steep" it is. By dividing the difference between the y-values at two points by the difference between the x-values, we can determine slope. Understanding how to interpret graphs and create equations is necessary in order to comprehend the significance of the definition of slope.

The slope of the line = m in y = mx + b

−3x−4y=6

4y = -3x -6

y = (-3x -6)/4

y = -3x/4 -6/4

y = -3/4(x) -3/2

2. Slope formula = y₂ - y₁ = m(x₂ -x₁)

points (6, -1) and (-4, -10)

Substitute

-10 -(-1)= m(-4 -6)

m = 9/10

Thus, the slope of the line in 1. is -3/4 and the slope of 2. is 9/10.

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The linear approximation for the change in the predicted probability per degree increase in temperature is approximately 0.003.

Linear approximation is an estimation method that approximates a function by a linear function. Linear approximation is also known as the tangent line approximation method.

This method is useful for finding out the approximate value of the function at a point near the given point. The linear approximation of the change in predicted probability per degree increase in temperature can be found using the formula given below: Linear Approximation Formula: Linear approximation formula is given by the following equation: f(x) ≈ f(a) + f′(a)(x − a)Where f(x) is the function, f(a) is the value of the function at the point x=a, f′(a) is the first derivative of the function at x=a, and x is the point near the point a that we want to find the approximation.

Let us apply the linear approximation formula to find the linear approximation for the change in the predicted probability per degree increase in temperature.

Let f(t) be the function that gives the predicted probability of a particular event at a temperature t. Suppose that at a temperature of 100 °F, the predicted probability is 0.8. Let f′(t) be the first derivative of the function f(t).

We need to find the linear approximation of the change in predicted probability per degree increase in temperature when the temperature is 100 °F. We can use the following steps to find the linear approximation.

Step 1: Find the value of f(100)f(100) = 0.8This means that when the temperature is 100 °F, the predicted probability is 0.8.

Step 2: Find the value of f′(100)f′(100) = df/dt = 0.003 This means that the rate of change of predicted probability with respect to temperature at 100 °F is 0.003 per degree.

Step 3: Use the linear approximation formula to find the linear approximation of the change in predicted probability per degree increase in temperature. The linear approximation formula is given by: f(x) ≈ f(a) + f′(a)(x − a)Substitute a=100, f(100)=0.8, f′(100)=0.003, and x=101 into the formula. f(101) ≈ f(100) + f′(100)(101 − 100)f(101) ≈ 0.8 + 0.003(1)f(101) ≈ 0.803

This means that the predicted probability of the particular event when the temperature is 101 °F is approximately 0.803.

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The exponent in Sam’s product is -5.

What does a math exponent mean?

Let us first multiply 500 with 3. 625×10-8

3. 625×10-8  × 500 = 1812.5 × 10⁻⁸

Then Sam has reported this answer in scientific notation

The format for writing a number in scientific notation is

(first digit of the number) followed by (the decimal point) and then (all the rest of the digits of the number), times (10 to an appropriate power).

In 1812.5 × 10⁻⁸  we move the decimal 3 times to left side

Since the decimal is moved left side, we multiply by 10³

1812.5 × 10⁻⁸ = 1812.5 × 10⁻⁸ × 10³

1812.5 × 10⁻⁸  = 1812.5 × 10⁻⁵

Exponent is a quantity representing the power to which a given number or expression is to be raised

1812.5 × 10⁻⁵ exponent is -5

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Answer:

(5, 4 )

Step-by-step explanation:

under a counter- clockwise about the origin of 180°

a point (x, y ) → (- x, - y ) , then

(- 5, - 4 ) → (- (- 5), - (- 4) ) → (5, 4 )

The solution to the equation is x = -5

The equation is given as:

the quantity 2x minus 20 divided by 3 = 2x

Rewrite properly as

(2x - 20)/3 = 2x

Multiply through by 3

2x - 20 = 6x

Collect like terms

6x - 2x = -20

This gives

4x = -20

Divide by 4

x = -5

Hence, the solution to the equation is x = -5

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Answer:

other dude is correct cuh

Step-by-step explanation:

The formulated Linear Program aims to minimize the objective function, which is the sum of production and inventory costs minus the revenue from selling the end-of-period inventory at month 4.

In this problem, we need to determine the optimal production and inventory levels over the four-month period to minimize costs and maximize revenue. We can formulate this as a linear programming problem with the following decision variables:

Let x1, x2, x3, x4 represent the production quantities for months 1, 2, 3, and 4, respectively.

Let y1, y2, y3, y4 represent the end-of-month inventory levels for months 1, 2, 3, and 4, respectively.

The objective function we want to minimize is:

Minimize: (5x1 + 8x2 + 4x3 + 7x4) + (2y1 + 2y2 + 2y3) - (15y4)

Subject to the following constraints:

1. Initial inventory: y1 = 15 (given)

2. Production capacity constraints:

  x1 <= 90 (month 1 capacity)

  x2 <= 75 (month 2 capacity)

  x3 <= 80 (month 3 capacity)

  x4 <= 50 (month 4 capacity)

3. Inventory balance equations:

  y1 + x1 - 50 = y2 (month 1)

  y2 + x2 - 65 = y3 (month 2)

  y3 + x3 - 100 = y4 (month 3)

  y4 + x4 - 70 = 0 (month 4, no carryover inventory)

4. Non-negativity constraints:

  x1, x2, x3, x4, y1, y2, y3, y4 ≥ 0

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Answer:

x=\(\sqrt{55}\) or about 7.4

Step-by-step explanation:

Use the Pythagorean Theorem:

8^2=3^2+x^2

64=9+x^2

55=x^2

x=\(\sqrt{55}\) or about 7.4

Answer:

7.42 feet

Step-by-step explanation:

.

Answer:

24 in^3

Step-by-step explanation:

This should be the correct answer, if it's not I'm sorry!

Answer:

normal force decreases

Step-by-step explanation:

N=mgcosθ, and cosine decreases as theta increases

consider joining our disc*rd server for unlimited hw help! we also have an active giveaway rn. code: RPEdT3erFm <3

Answer:

A) decreases

Step-by-step explanation:

As the angle of the incline increases, the normal force decreases, which decreases the frictional force. The incline can be raised until the object just begins to slide.

Answer: The median number of posts made is 8.5

Answer:

7.5

Step-by-step explanation:

45 / 6 = 7.5

Answer:

7.5

Step-by-step explanation:

45 / 6 = 7.5

Absolute value inequality that represents the number of hours you spend doing homework on a typical weekday is 2 ≤ x ≤ 5.

Let us assume that one spends x hours doing homework on a typical weekday. Then we can write

The inequality expression for a slow weekend is given as;

X ≥ 2

In the same vein, the inequality expression for a busy weekend is given as;

X ≤ 5

Putting the two inequalities we have together in the same expression;

2 ≤ x ≤ 5

Two inequality expression could be written simultaneously if they can be expressed individually. They are commonly referred to as a “double” inequality.  Writing an absolute value for this expression is represented as:

|x - h|≤ k

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Answer:

It's B

Step-by-step explanation:

B

Answer:

B-----

Step-by-step explanation:

Answer:

you add the 11 back to the other side making it x^2+12x+11=0

then you factor it

(x+11)(x+1)

you should know what to do from here

Answer:

Step-by-step explanation:

x2 + 12x = –11

x2 + 12x +36 = –11 + 36

(x+6)^2 = -11 + 36 = 25 = (+/- 5)^2

x+6 = +/- 5

x+6 = +5  => x=-1

x+6 = -5  => x = -11

So the solution set is S = {-1, -11}

Answer:

2+2=4

Step-by-step explanation: btw what questions?

Answer:

Wait, wheres the questions?

Step-by-step explanation:

Answer:

x = 90°

Step-by-step explanation:

Since AB is the diameter of the circle then

x = 90° ( angle in a semicircle )

The numbers are ordered from least to greatest as follows

√3 - 1

√14

3√2

√19 + 1.6

2√10 + 5

This is arranging values form the one that has the smallest values being the number one while the number that has the biggest value is the last

In ordering the given numbers we convert them to decimal using calculator

3√2 =4.242640687

√3 - 1=0.7320508076

√19 + 1.6 = 5.958898944

2√10 + 5 = 11.32455532

√14 =3.741657387

The number can be arranged as thus

√3 - 1

√14

3√2

√19 + 1.6

2√10 + 5

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Answer: The 4 answers are x=18, x=3, x=48, x=81 1/2.

Step-by-step explanation: Isolate the variable by dividing by each side by factors that don't contain the variable.

Answer:

75%

Step-by-step explanation:

We would have to divide 6 by 8 and then multiply the quotient by 100 to get the percentage.

\(\frac{6}{8}=0.75 * 100 = 75\%\)

6 is 75% of 8.

Hope this helps!

Answer:

bcd= congruent property abstracted by -cdb

Step-by-step explanation:

fffffffffffffffffffffffffffffffffffffffffff

Answer:

\( 8^{16} \)

Step-by-step explanation:

\( 8^9 \cdot 8^7 \)

Use the rule

\( a^m \times a^n = a^{m + n} \)

\( 8^9 \times 8^7 = 8^{9 + 7} = 8^{16} \)

The proababilities are: i) P(Aᶜ) = 0.6, ii) P(Bᶜ) = 0.4

iii) Probability that exactly one of the events A, B occurs = 0.7

Let A and B be any two disjoint events such that P(A) = 0.4 and P(A ∪ B) = 0.7. We need to find the following probabilities:

i) P(Aᶜ): This is the probability of the complement of event A, which represents the probability of not A occurring. Since A and B are disjoint, Aᶜ and B are mutually exclusive and their union covers the entire sample space.

Therefore, P(Aᶜ) = P(B) = 1 - P(A) = 1 - 0.4 = 0.6.

ii) P(Bᶜ): This is the probability of the complement of event B, which represents the probability of not B occurring. Since A and B are disjoint, Bᶜ and A are mutually exclusive and their union covers the entire sample space.

Therefore, P(Bᶜ) = P(A) = 0.4.

iii) Probability that exactly one of the events A, B occurs: This can be calculated by subtracting the probability of both events occurring (P(A ∩ B)) from the probability of their union (P(A ∪ B)).

Since A and B are disjoint, P(A ∩ B) = 0.

Therefore, the probability that exactly one of the events A, B occurs is P(A ∪ B) - P(A ∩ B) = P(A ∪ B) = 0.7.

To summarize:

i) P(Aᶜ) = 0.6

ii) P(Bᶜ) = 0.4

iii) Probability that exactly one of the events A, B occurs = 0.7

Note: The provided values of P(A), P(A ∪ B), and the disjoint nature of A and B are used to derive the above probabilities.

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The biggest decrease in waiting time between two consecutive eruptions is stored in the variable "biggest_decrease."

To find the biggest decrease in waiting time between two consecutive eruptions, we can create an array of waiting times for each eruption and calculate the differences between consecutive elements. Then, we can find the maximum value from those differences. Here's the code to accomplish this:

eruptions = [74, 62, ...]  

differences = [eruptions[i] - eruptions[i-1] for i in range(1, len(eruptions))]

biggest_decrease = abs(max(differences))

Make sure to replace the ellipsis (...) with the remaining waiting times for each eruption in the "eruptions" array. The variable "biggest_decrease" will store the absolute value of the biggest decrease in waiting time between two consecutive eruptions.

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Complete Question:

Assign biggest_decrease to the biggest decrease in waiting time between two consecutive eruptions. For example, the third eruption occurred after 74 minutes and the fourth after 62 minutes, so the decrease in waiting time was 74 - 62 = 12 minutes.

Hint 1: You'll need an array arithmetic function mentioned in the textbook. You have also seen this function earlier in the homework!

Hint 2: We want to return the absolute value of the biggest decrease.

biggest_decrease =

Answer: square 105

Step-by-step explanation: Confirming answer

A radical expression is an expression containing a square root, mostly a square root.

The value of √3.√5.√7 in radical form is √105.

A radical expression is an expression containing a square root, mostly a square root.

We have,

√3.√5.√7

We can multiply the numbers together.

= √(3 x 5 x 7 )

= √(15 x 7)

= √105

Thus the value of √3.√5.√7 in radical form is  √105.

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Answer:

The pair of points A and B to point C such that ∠ABC = 90° are;

1) A(-10, 5) and B(12, 16), C(18, 4)

2) A(12, -14) and B(-16, 21), C(-11, 25)

Step-by-step explanation:

The angle formed between the points A and B to point C, ∠ABC is 90° when the the line passing through points A and B is perpendicular to the line passing through points B and C

Therefore, for ∠ABC = 90°

\(\overline{AB}\) is perpendicular to \(\overline{BC}\) (

\(Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\)

The slope of  \(\overline{BC}\) = -1/m, where, the slope of \(\overline{AB}\) = m

Each option is analyzed as follows;

1) A(3, 3) and B(12, 6) C(6, 52)

The slope of \(\overline{AB}\) = (6 - 3)/(12 - 3) = 0.\(\overline 3\)

The slope of \(\overline{BC}\) = (52 - 6)/(6 - 12) = -7.\(\overline 6\) ≠ 1/(0.\(\overline 3\)) = 3

∴ \(\overline{AB}\) is not perpendicular to \(\overline{BC}\) and ∠ABC ≠ 90°

2) A(-10, 5) and B(12, 16) C(16, -6)

The slope of \(\overline{AB}\) = (16 - 5)/(12 - (-10)) = 0.5

The slope of \(\overline{BC}\) = (-6 - 16)/(16 - 12) = -5.5 ≠ 1/(0.5) = 2

For point C(18, 4), we have;

The slope of \(\overline{BC}\) = (4 - 16)/(18 - 12) = -2

∴ A(-10, 5) and B(12, 16) is perpendicular to C(18, 4)

∴ ∠ABC = 90°

3) A(-8, 3) and B(12, 8) C(18, 4)

The slope of \(\overline{AB}\) = (8 - 3)/(12 - (-8)) = 0.25

The slope of \(\overline{BC}\) = (4 - 8)/(18 - 12) = -0.\(\overline 6\) ≠ 1/(0.25) = 4

∴ \(\overline{AB}\) is not perpendicular to \(\overline{BC}\) and ∠ABC ≠ 90°

4) A(12, -14) and B(-16, 21) C(-11, 25)

The slope of \(\overline{AB}\) = (21 - (-14))/((-16) - 12) = -1.25

The slope of \(\overline{BC}\) = (25 - (21))/((-11) - (-16)) = 0.8 = 1/(-1.25)

∴ \(\overline{AB}\) is perpendicular to \(\overline{BC}\) and ∠ABC = 90°

5) A(-12, -19) and B(20, 45)

C(16, -6)

The slope of \(\overline{AB}\) = (45 - (-19))/(20 - (-12)) = 2

A(30, 20) and B(-20, -15)

The slope of \(\overline{AB}\) = (-15 - 30)/(-20 - 20) = 1.125

The slope of \(\overline{BC}\) = (6 - 52)/(12 - 6) = -5.5 ≠ 1/(0.5) = 2

6) The slope of \(\overline{BC}\) = (-6 - 16)/(16 - 12) = -5.5 ≠ 1/(0.5) = 2

∴ \(\overline{AB}\) is not perpendicular to \(\overline{BC}\) and ∠ABC ≠ 90°

The ratio of the area of two circles can be found by dividing the area of one circle by the area of the other.

The formula for the area of a circle is A = πr^2, where r is the radius of the circle. To calculate the ratio of the areas of two circles, take the area of one circle and divide it by the area of the other:

Ratio of area of two circles = A1/A2 = (πr1^2)/(πr2^2)

For example, if the radius of one circle is 3 and the radius of the other is 5, then the area of the first circle is 28.27 and the area of the second circle is 78.54. The ratio of the areas of these two circles is then 28.27/78.54, which is 0.36.

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Answer:

A and C

Step-by-step explanation:

Answer:

If I am correct, the answer is A, C

Step-by-step explanation:

Answer:

73

Step-by-step explanation: