kathy stood on the middle rung of a ladder. she climbed up 3 ​rings, moved down 5 ​rings, and then climbed up 7 rungs. then she climbed up the remaining 2 rungs to the top of the ladder. how many rungs are there in the whole​ ladder?

If the value of determinant a is 3, determinant b is 5 then the value of determinant ab is 15.

Given that the value of determinant a is 3, determinant b is 5.

We are required to find the value of determinant ab.

Determinant of a matrix is the scalar value computed for a given square matrix.It means the matrix which is not square does not have a determinant value.  It is denoted by IAI.

We know that,

IaI*IbI=IabI

So we have to just put the values in the above formula to get the determinant of ab.

IabI=3*5

=15

Hence if the value of determinant a is 3, determinant b is 5 then the value of determinant ab is 15.

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Answer:

hope this is correct

Answer:

108

Step-by-step explanation:

Answer:

Hope it helps u, any questions u may ask me

x=70 [alternate interior angles]

y=60 [alternate interior angles]

a=110 [By linear pair]

b=120 [By linear pair]

The shape of the histogram will remain the same but will stretch horizontally.

1. Histograms Suppose that the line of code data.hist('x') generated Histogram A and the line of code data.hist('y') generated Histogram B. This is because Histogram A shows the distribution of the x values and Histogram B shows the distribution of the y values.

The x-axis of Histogram A corresponds to the x values and the y-axis corresponds to the frequency of those values. Similarly, the x-axis of Histogram B corresponds to the y values and the y-axis corresponds to the frequency of those values.

2. The new histogram generated by running new_data.hist('x') will look similar to Histogram A, but the x values will be multiplied by 5. This means that the x-axis will have larger values and the bars will be shifted to the right. The y-axis, which corresponds to the frequency of the x values, will remain the same.

The overall shape of the histogram will also remain the same, but it will be stretched horizontally.

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we have

15!12!(4−1)!

15!12!(3!)=3,758,268,687,305,932,800,000

therefore

the answer is

To prove that triangles ΔFGH and ΔFDC are congruent using coordinates, assign coordinates to the vertices of the triangles and demonstrate that the corresponding sides have equal lengths and the corresponding angles are congruent. If the side lengths and angle congruence can be established, it can be concluded that triangles ΔFGH and ΔFDC are congruent.

Let's imagine that  Δ FGH has the following vertex coordinates:

Vertex F: (x₁, y₁)

Vertex G: (x₂, y₂)

Vertex H: (x₃, y₃)

And Δ FDC has the following vertex coordinates:

Vertex F: (x₁, y₁)

Vertex D: (x₄, y₄)

Vertex C: (x₅, y₅)

In both triangles, point F is at the same location, (x₁, y₁). The other vertices differ between the triangles.

Calculate the lengths of the sides using the distance formula: This involves finding the distances between the vertices of each triangle using the coordinates.

Check if the corresponding sides have equal lengths: Compare the lengths of FG and FD, GH and DC, and FH and FC. If they are equal, then the corresponding sides match up.

Check if the corresponding angles are congruent: Look at the angles formed by the sides of the triangles. Compare ∠F and ∠F, ∠G and ∠D, and ∠H and ∠C. If they are equal, the corresponding angles are congruent.

If we can show that both the corresponding sides have equal lengths and the corresponding angles are congruent, we can conclude that the triangles ΔFGH and ΔFDC are congruent. This satisfies the Side-Angle-Side (SAS) congruence criterion.

Please note that the specific calculations for side lengths and angle congruence will depend on the actual coordinates assigned to the vertices of the triangles.

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The complete question is-

Given that in  Δ FGH, vertex F is located at point (x₁, y₁), vertex G at (x₂, y₂), and vertex H at (x₃, y₃), and in Δ FDC, vertex F is located at (x₁, y₁), vertex D at (x₄, y₄), and vertex C at (x₅, y₅), can you provide a coordinate proof to show that triangles ΔFGH and ΔFDC are congruent? Include the steps to calculate the lengths of corresponding sides and demonstrate the congruence of corresponding angles.

Let the mass of the object exists at 60 N and the height exists at 3m then work

exists in 1764.

What is work?

The work done by a force exists determined to be the product of a component of the force in the direction of the displacement and the magnitude of this displacement.

Work can be estimated by multiplying Force and Distance in the direction of force as follows.

W = F × d. Unit.

Given data:

m = mass of the object = 60 N

h = height = 3 m

Work = Fh = mgh

g = gravity = 9.8 m/s²

work = Fh = mgh

\(= 60*3*9.8\)

= 1764

Therefore, the work exists in 1764.

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Answer: Similar

Step-by-step explanation:

ik

Answer:

y=60

x=30

Step-by-step explanation:

x+y=90⁰

if x is 30

30+y=90

y=90-30

y=60

Answer:

Step-by-step explanation:

We can use trigonometry to solve this problem. Let's draw a right triangle to represent the situation:

        |\

        | \

   h    |  \   9 ft

        |   \

        |    \

        |     \

        -------

        6 ft

Here, h represents the height on the wall where the ladder touches. We want to find the angle of elevation θ.

Using the right triangle, we can write:

sin(θ) = h / 9

cos(θ) = 6 / 9 = 2 / 3

We can solve for h using the Pythagorean theorem:

h^2 + 6^2 = 9^2

h^2 = 9^2 - 6^2

h = √(9^2 - 6^2)

h = √45

h = 3√5

So, sin(θ) = 3√5 / 9 = √5 / 3. We can solve for θ by taking the inverse sine:

θ = sin^-1(√5 / 3)

θ ≈ 37.5 degrees

Therefore, to the nearest tenth of a degree, the angle of elevation the ladder makes with the ground is 37.5 degrees.

Answer:

80%

Step-by-step explanation:

Answer:

80% is greater.

Step-by-step explanation:

80% is also 8/10. 8/10 is greater than 7/9.

Hope it helps!

The probability that the first person to have a college degree is the 3rd person selected is 0.9824, assuming the company's claim is true.

Assuming the company's claim of 74% of their employees having college degrees is true, the probability that the first person to have a college degree is the 3rd person selected can be calculated. First, the probability that the first person selected does not have a college degree is (1 - 0.74) = 0.26. Secondly, the probability that the second person selected does not have a college degree is (1 - 0.74) = 0.26. Thus, the probability that the first person to have a college degree is the 3rd person selected is the probability of the first two people not having a college degree (0.26 * 0.26) multiplied by the probability that the third person has a college degree (0.74). This probability is (0.26)^2 * 0.74 = 0.9824. Therefore, the probability that the first person to have a college degree is the 3rd person selected is 0.9824.

P(3rd person has a college degree) = P(first two people do not have a college degree) x P(third person has a college degree)

P(3rd person has a college degree) = (1 - 0.74)^2 x 0.74

P(3rd person has a college degree) = 0.9824

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Answer:

bo0by

Step-by-step explanation:

\( \huge \bold{answer}\)

Using proportions, it is found that his forgetfulness cost him $0.108.

--------------

\(T = 1.2 \times 0.09 = 0.108\)

His forgetfulness cost him $0.108.

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The X-axis (horizontal axis) often represents a "class boundaries" of such an ogive, whereas the Y-axis (vertical axis) typically shows the frequency count.

A sort of frequency polygon that displays cumulative frequencies is an ogive, often known as a cumulative frequency polygon.

Thus, The X-axis (horizontal axis) often represents a class boundaries being measured of such an ogive.

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Answer:

Step-by-step explanation:

Given:

Inscribed angle measure is half the intercepted arc:

The angle between the diameter and tangent is right angle:

According to angle addition postulate:

Correct choice is B

Answer:

m∠BAY = 1/2(52°) = 26°

m∠BAC = 90°

m∠YAC = m∠BAC - m∠BAY

m∠YAC = 90° - 26° = 64°

OAmalOHopeO

\(\huge\red{\mid{\underline{\overline{\textbf{ANSWER}}}\mid}}\)

\(D)\frac{5}{6}\;is \: your \: answer\)

Answer:

5/6

Step-by-step explanation:

I had this question and it was correct.

Answer:

x=66 y=74

Step-by-step explanation:

5.5x + 10y = 1100

x + y = 140

---

y = 140 - x

---

5.5x + 10(140-x) = 1100

5.5x + 1400 - 10x = 1100

-4.5x = -300

x = 66.67

---

x = 66

y = 74

= $1103

Given:

The line containing the points (9,5) and (9,16).

Explanation:

The rate of chage of line passes through point (x_1,y_1) and (x_2,y_2) is,

Determine the rate of change of line passes through line (9,5) and (9,16).

So answer is undefined.

Option A is correct.

Answer:

The answer is -285

Step-by-step explanation:

Answer:

4/15

Step-by-step explanation:

4/10*6/9

2/5*2/3

4/15

1000000 times larger

Step-by-step explanation:

2x10^2 is 200.

2x10^8 is 200000000

2x10^8  is 1000000 times larger that 2x10^2

\(\bold{\huge{\underline{ Solution }}}\)

We have given one graph which is plot between distance and time. where time is in minutes and distance is in seconds.

According to the graph

1) Between O and A

2) Between A and B

3) Between B to C

4) For covering the First 6 km ,

According to the graph,

5) No, Marellize and wally walk does not from where they have started.

According to the graph

The line between O and A is a straight line graph while A and B is a constant graph.

A graph simply means a pictorial representation of information or data that's given.

In this case, O and A is a straight line graph while A and B is a constant graph. A straight line graph illustrates a linear relationship between between the x and y values.

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Binding constraints directly influence the optimal solution in a linear Programming problem, whereas constraints with positive slack are non-binding and do not directly impact the solution.

binding constraints and positive slack in the context of linear programming. In a linear programming problem, we aim to find the optimal solution for an objective function, given a set of constraints. The terms "binding constraints" and "positive slack" are related to these constraints.

1. Binding constraints: These are constraints that directly impact the optimal solution of the problem. In other words, they "bind" the feasible region (the area where all the constraints are satisfied) and affect the maximum or minimum value of the objective function. Binding constraints are active constraints, as they influence the final solution.

2. Positive slack: Slack is the difference between the left-hand side and right-hand side of a constraint when the constraint is satisfied. If this difference is positive, it means that there is some "extra" or "unused" resource in that constraint. Positive slack indicates that the constraint is non-binding, meaning it does not directly impact the optimal solution. It shows that there is some room for the constraint to be further tightened without affecting the final outcome.

In summary, binding constraints directly influence the optimal solution in a linear programming problem, whereas constraints with positive slack are non-binding and do not directly impact the solution. Knowing the difference between these terms can help you better understand and analyze linear programming problems.

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Answer:

C

Step-by-step explanation:

\(-5x - 2(x + 3) \leq 4 - 3x \\ \\\to -5x - 2x - 6 \leq 4 - 3x \\ \\\to -7x - 6 \leq 4 - 3x \\ \\\to -10 \leq 4x \\ \\\to -2.5 \leq x\)

The \( K_{\mathrm{b}} \) value for cyanide can be calculated using the equation \( K_{\mathrm{b}} = 10^{-\mathrm{p} K_{\mathrm{b}}} \). Substituting the given p \( K_{\mathrm{b}} \) value of 4.79 into the equation yields the result of \( 1.6 \times 10^{-5} \).

To determine the \( K_{\mathrm{b}} \) value, we can use the relationship between \( K_{\mathrm{b}} \) and p \( K_{\mathrm{b}} \). The p \( K_{\mathrm{b}} \) value is defined as the negative logarithm (base 10) of \( K_{\mathrm{b}} \). In this case, the given p \( K_{\mathrm{b}} \) value is 4.79. To find \( K_{\mathrm{b}} \), we need to reverse this process. By taking the inverse logarithm of 4.79 (10 raised to the power of -4.79), we find the \( K_{\mathrm{b}} \) value to be \( 1.6 \times 10^{-5} \).

Therefore, the \( K_{\mathrm{b}} \) value for cyanide is \( 1.6 \times 10^{-5} \).

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Answer:

A checking account is a type of bank deposit account that is designed for everyday money transactions. Savings accounts have higher interest rates than checking accounts meaning it is better to let large sums of money sit in savings instead of checking.

Step-by-step explanation:

There are 840 permutations of the set a, taken 4 at a time.
What is integer ?

An integer is the number zero, a positive natural number or a negative integer with a minus sign. The negative numbers are the additive inverses of the corresponding positive numbers.

A permutation of a set is an arrangement of its elements in a specific order. To find the number of permutations of a set with n elements, taken r at a time, the formula is given by n! / (n - r)!, where n! is the factorial of n.

Given the set a = {x | x is an integer and x^2 < 16}, we can find the elements of the set:

x^2 < 16

x = ±1, ±2, ±3, ±4

So the set a has 8 elements: {-4, -3, -2, -1, 1, 2, 3, 4}.

The number of permutations of a set with 8 elements, taken 4 at a time, is given by 8! / (8 - 4)! = 8! / 4! = 40320 / 24 = 840.

Therefore, there are 840 permutations of the set a, taken 4 at a time.

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Q9.1: To justify the proposal, we need to compare the benefits of the road expansion (in terms of reduced travel time) with its costs. The value of time represents the monetary value individuals place on their time spent traveling. In this case, the value of time is $1.5 per minute.

First, let's calculate the reduction in travel time resulting from the road expansion. We compare the two road performance functions: t1​ = 30 + 6×10−6q and t2​ = 20 + 3×10−6q. By subtracting t2​ from t1​, we can determine the time savings: Δt = t1​ - t2​ = (30 + 6×10−6q) - (20 + 3×10−6q)    = 10 + 3×10−6q Next, we multiply the time savings by the number of trips (q) to obtain the total time savings: Total Time Savings = Δt × q = (10 + 3×10−6q) × q Now, we can determine the monetary value of the time savings by multiplying the total time savings by the value of time ($1.5 per minute): Monetary Value of Time Savings = Total Time Savings × Value of Time                             

= (10 + 3×10−6q) × q × $1.5  If the monetary value of the time savings exceeds the construction cost of $9.6×107, then the proposal is justified. Q9.2: To determine the construction cost at which the proposal becomes justified, we set the monetary value of the time savings equal to the construction cost and solve for q: (10 + 3×10−6q) × q × $1.5 = $9.6×107 By solving this equation for q, we can find the corresponding construction cost at which the proposal becomes justified.

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