TRUE/FALSE When inserting a value into a partially-filled array, in descending order, the insertion position is the index of the first value smaller than the value.

Answer:

(x-15)(x-1) x²

Step-by-step explanation:

x² (x²-16x+15)

a+b=-16

ab=15

a=-15

b=-1

x(x²-15)- (x-15)

(x-15)(x-1)

(x-15)(x-1) x²

Answer:

√17, √18,√19,√20,√21,√22,√23 ,√24

Step-by-step explanation:

The expected number of streaks of 7 consecutive successful shots in n shots = (n - 6) * p7, where n is the number of shots and p is the probability of success.The probability of making 7 consecutive successful shots in exactly k shots is given by Pk = (1-p)k-7 * p7. The expected value of X is given by E(X) = [k=7,] k. We can use the formula for the sum of an infinite geometric series to simplify the expression and evaluate the numerator of the expression. Thus, E(X)  7 / p7.

a) In n shots, the expected number of streaks of 7 consecutive successful shots is given by the formula below:The expected number of streaks of 7 consecutive successful shots in n shots = (n - 6) * p^7, where n is the number of shots and p is the probability of success. In other words, for each block of 7 shots, we have a probability of p^7 of making 7 consecutive successful shots, and there are (n-6) blocks of 7 shots in n shots. Therefore, the expected number of streaks of 7 consecutive successful shots is the product of these two values.

b) We know that X is the number of shots taken until the player makes 7 consecutive successful shots for the first time. Therefore, X is a random variable that follows the geometric distribution with parameter p. The probability of making 7 consecutive successful shots in exactly k shots is given by:Pk = (1-p)^{k-7} * p^7Therefore, the expected value of X is given by:E(X) = Σ[k=7,∞] k * PkWe can use the formula for the sum of an infinite geometric series to simplify this expression:

\(E(X) = Σ[k=1,∞] k * (1-p)^{k-1} * p^7 / (1 - (1-p)^7)\) We can also use the formula for the sum of a geometric series to simplify the denominator:

\(E(X) = Σ[k=1,∞] k * (1-p)^{k-1} * p^7 / (p^7 + Σ[j=1,6] (1-p)^j * p^7)\)

\(E(X) = (p^7 * Σ[k=1,∞] k * (1-p)^{k-1}) / (p^7 * (1 + Σ[j=1,6] (1-p)^j))\)

\(E(X) = (1 / p^7) * (Σ[k=1,∞] k * (1-p)^{k-1}) / (1 + Σ[j=1,6] (1-p)^j)\)

We can use the formula for the derivative of a geometric series to evaluate the numerator of this expression:

\(Σ[k=1,∞] k * (1-p)^{k-1} = d/dp\)

Σ[k=1,∞] (1-p)^k

= d/dp (1-p) / (1 - (1-p))²

= 1 / p^2

Therefore, \(E(X) = (1 / p^7) * (1 / (1 + Σ[j=1,6] (1-p)^j)) * (1 / p^2) ≤ (1 / p^7) * (1 / (1 + Σ[j=1,6] (1-p)^j)) * (1 / p^7) = 1 / p^{14} ≤ 7 / p^7\)

Thus, \(E(X) ≤ 7 / p^7.\)

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Option B is correct. 0.39 goldfish per cubic feet is the density of the tank given that there are 22 goldfishes and volume of the tank is 56 cubic feet. This can be obtained by using the formula of density.

Given that there are 22 goldfishes,

mass of tank = 22 goldfishes

volume of tank = 56 cubic feet

                      = 22/56

                      = 0.39 goldfish per cubic feet

Hence 0.39 goldfish per cubic feet is the density of the tank given that there are 22 goldfishes and volume of the tank is 56 cubic feet.

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Answer: 0.39 goldfish

Step-by-step explanation:

Determine the conditions for when a function has an inverse. Use the horizontal line test to recognize when a function is one-to-one. Find the inverse of a given function.

It is simple to establish whether the inverse of a function is also a function using the horizontal line test.

Because it fails the vertical line test, a function's inverse might not actually be a function.

Graph of the line

f\left( x \right) = - x + 2

f(x)=−x+2.

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Answer:

32

Step-by-step explanation:

\(\begin{array}{ccll} Trains&Planes\\ \cline{1-2} 3 & 8\\ 12& x \end{array} \implies \cfrac{3}{12}~~=~~\cfrac{8}{x} \implies \cfrac{ 1 }{ 4 } ~~=~~ \cfrac{ 8 }{ x }\implies x=32\)

Answer:

6400

Step-by-step explanation:

To find the number that makes the perfect square of 80, multiply 80 times 80 (square 80).

80 squared equals 6400, which means the square root of 6400 would be the perfect square 0f 80.

Answer:

3 over 2 = 1.5

3 over 4 = 0.75

3 over 2 and 3 over 4 = 2.25

Step-by-step explanation:

Answer:

3 over 2 and 3 over 4

Step-by-step explanation:

that it

A2 + 4a√b + 4b

____________

A2-4b

 By rationalizing the Denominator of \(\frac{a+\sqrt{4b} }{a-\sqrt{4b}}\)  we get \(\frac{a^{2} +2a\sqrt{4b} + 4b}{a^{2} -4b}\)

A radical or imaginary number can be removed from the denominator of an algebraic fraction by a procedure known as o learn more about . That is, eliminate the radicals from a fraction to leave only a rational integer in the denominator.

To rationalise multiply numerator and denominator with \(a+\sqrt{4b}\) where a is an integer and b is a prime number.

we get  \(\frac{a+\sqrt{4b}}{a-\sqrt{4b}} * \frac{a+\sqrt{4b}}{a+\sqrt{4b}}\)

\(= \frac{(a+\sqrt{4b})^{2} }{a^{2} -(\sqrt{4b})^{2} }\)

by solving we get \(=\frac{a^{2} +2a\sqrt{4b} + 4b}{a^{2} -4b}\)

By rationalizing the Denominator of \(\frac{a+\sqrt{4b} }{a-\sqrt{4b}}\)  we get \(\frac{a^{2} +2a\sqrt{4b} + 4b}{a^{2} -4b}\)

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Gaussian elimination algorithm is a way of solving linear systems of equations. It is a widely used method, especially in scientific applications, to solve large and complex problems. Gauss-Jordan method is the generalization of Gaussian elimination that involves reducing a matrix to its row-echelon form and then to its reduced row-echelon form.

Gauss-Jordan method steps are the following:

Step 1: Write the augmented matrix

Step 2: Convert the matrix to row-echelon form

Step 3: Convert the matrix to reduced row-echelon form

Step 4: Write the solution set

Find the solution set of the equations using the Gauss-Jordan method:

\($$\begin{pmatrix}2 & -2 & 4 & -6 \\ 3 & 9 & -21 & 0 \\ 1 & 5 & -12 & 1\end{pmatrix}$$\)
Step 1: Write the augmented matrix

Step 2: Convert the matrix to row-echelon form

\($$\begin{pmatrix}2 & -2 & 4 & -6 \\ 3 & 9 & -21 & 0 \\ 1 & 5 & -12 & 1\end{pmatrix} \sim \begin{pmatrix}2 & -2 & 4 & -6 \\ 0 & 15 & -33 & 9 \\ 0 & 6 & -16 & 4\end{pmatrix} \sim \begin{pmatrix}2 & -2 & 4 & -6 \\ 0 & 3 & -11 & 3 \\ 0 & 0 & 0 & 0\end{pmatrix}$$\)

Step 3: Convert the matrix to reduced row-echelon form\($$\begin{pmatrix}2 & -2 & 4 & -6 \\ 0 & 3 & -11 & 3 \\ 0 & 0 & 0 & 0\end{pmatrix} \sim \begin{pmatrix}1 & 0 & \frac{10}{9} & -\frac{2}{3} \\ 0 & 1 & -\frac{11}{3} & 1 \\ 0 & 0 & 0 & 0\end{pmatrix}$$\)

Step 4: Write the solution set\($$\begin{cases}x_1 = -\frac{10}{9}x_3 - \frac{2}{3}\\ x_2 = \frac{11}{3}x_3 - 1\\ x_3 \in R \end{cases}$$\)

Thus, the solution set of the given equations is \($\left\{ \left( -\frac{10}{9}t - \frac{2}{3}, \frac{11}{3}t - 1, t\right) \mid t \in R \right\}$\)

which means that the solution to the given system of equations is an infinite set.

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It's 42.

The equation would be 1/3n - 6 = 8.

Just plug in each number in the place of 'n' then see what actually equals 8.

Answer:

1:0.33

Step-by-step explanation:

This is because one foot= .333 yards

I hope this is what you were asking! :)

Answer:

Step-by-step explanation:

according to the question equation is

3i-71

-4i

Answer:

3i - 7i = (3-7)i = -4i

so -4i.

Answer:

Incorrect, view explanation

Step-by-step explanation:

750t is basically 750 x t.

If t = 5 per say, this would be 750 x 5. It wouldn't take around 3,000 days to paint that fence. (probably)

We are trying to get the number of days, so lets focus at that.

If Olivia paints T planks per day , we are going to want to divide the number of planks (t), so we can get how many days it would take.

So lets set an example, t = 250, to simplify things.

750/250 = 3 days.

Therefore, 750/t is your correct answer instead.

The constant term is 8, which means that the y-intercept of the graph of g is (0, 8).

In mathematics, a function is a rule that assigns a unique output value for every input value in a set. It is a relation between a set of inputs and a set of possible outputs, with the property that each input is related to exactly one output. Functions are widely used in various fields of mathematics, science, engineering, and technology to model and analyze real-world situations, to describe how quantities depend on one another, and to solve problems.

Here,

If we set k=4, the function g(x) becomes:

g(x) = k(x+2) = 4(x+2)

The value of k affects the slope of the graph of g compared to the graph of f. In this case, since k=4, the slope of the graph of g is 4 times the slope of the graph of f.

The slope of the graph of f is 1, since the coefficient of x is 1. Therefore, the slope of the graph of g is:

4 * 1 = 4

This means that the graph of g is steeper than the graph of f.

The y-intercept of the graph of f is 2, since the constant term is 2. Setting k=4 does not affect the y-intercept of the graph of g, since the constant term remains the same:

g(x) = 4(x+2) = 4x + 8

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The approach that is only as good as the assumptions regarding the stiffness or shear walls and diaphragms relative to the actual stiffness of a complete building system is the simplified or approximate method.

In structural engineering, when analyzing the behavior and response of a building system to external loads, two commonly used methods are the approximate method and the more rigorous method, such as finite element analysis. The approximate method simplifies the structural analysis by making certain assumptions and approximations to facilitate calculations. However, these assumptions can introduce uncertainties and limitations in accurately predicting the behavior of the building system. One critical assumption in the approximate method is the distribution of stiffness within the building system, particularly in terms of shear walls and diaphragms. The accuracy of the results heavily relies on how well these assumed stiffness values represent the actual stiffness of the complete building system. If the assumptions regarding the stiffness or shear walls and diaphragms significantly deviate from the actual behavior, the results obtained from the approximate method may be less reliable and less representative of the true response of the structure. Therefore, the accuracy of the approach is highly dependent on the assumptions made regarding the stiffness distribution within the building system.

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Answer:

B

Step-by-step explanation:

its the only one more than the 28%

The sine rule is the ratio of perpendicular to the hypotenuse, then the maximum length of the seesaw will be 2 meters.

It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function.

Jim is designing a seesaw for a children's park.

The seesaw should make an angle of 30° with the ground, and the maximum height to which it should rise is 1 meter.

Then the maximum length of the seesaw will be

We know that the sine rule is given as

\(L = \dfrac{1 }{ \sin 30} \\\\ L = \dfrac{1}{1/2} \\\\L = 2\)

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Answer:

2 meters

Step-by-step explanation:

Answer:

8.21%

Step-by-step explanation:

r = (1/t)(A/P - 1)

t = 13

A = 6200

P = 3000

        1          6200

r = (-------) ((------------) - 1))

       13         3000

        1          31

r = (-------) ( ------ - 1)

       13         15

        1          16

r = (-------) ( ------ )

       13         15

       16

r = --------  =  0.0820512

       195

r = 0.0820512 x 100 = 8.20512

r ≈ 8.21%

I hope this helps!

Answer:

Step-by-step explanation:

Compounded Monthly:

Use A=P(1+r/n)^nt

A=6200

P=3000

t=13

n=12

​

Plug in and simplify:

1. Multiply 12 times 13

2. Divide out the 3000

3. Raise both sides to the 1/156 power to cancel out the exponent

4. Subtract 1 from both sides

5. Multiply by 12 on both sides

R should equal 0.0559716

That is about 5.60%

5.60%

Answer:

-5!

Step-by-step explanation:

Answer:

3.89

Step-by-step explanation:

To find the price per quart of the window cleaner, we need to first determine how many quarts the 3-gallon container contains. We can do this by converting the number of gallons to quarts using the conversion factor that 1 gallon is equal to 4 quarts.

3 gallons * 4 quarts/gallon = 12 quarts

Next, we need to divide the total cost of the window cleaner, $46.68, by the number of quarts to find the price per quart.

Price per quart = $46.68 / 12 quarts = $3.89/quart

Therefore, the price per quart of the window cleaner is $3.89.

Answer:

6/35

Step-by-step explanation:

so he ate 2/5 first day, and the 3/7 the other day, so we need to add the 3/7 to 2/5.

they had to have the same number as their denominator.

so we gonna multiply (5) (3) and (5) (7) and also (7) (2) and (7) (5)

then we have 14/35 and 15/35 so we can add them together to find out 29/35

then we minus it from 35/35 to find out how much is left

35/35 - 29/35 is 6/35 , which is our answer

Answer:

Step-by-step explanation:

The area of the quadrilateral is a sum of areas of two triangles with base of 8 m and hight of 2 m.

A = 2×0.5×8×2 = 16 m²

Answer:

c

Step-by-step explanation:

The required transformation of the function is 1 unit left and 5 unit down.

Given that,
To determine the transformation of the parent function y=|x|. y=|x-1|-5.

The graph is a demonstration of curves which gives the relationship between the x and y-axis.

Here,
The function y=|x| is an absolute function,
when we add 1 unit left and 5 unit down to the function, the function arises as y=|x-1|-5. It implies the transformation of function as -1 on the x-axis and -5 units on the y-axis.

Thus, the required transformation of the function is 1 unit left and 5 unit down.

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Answer: 90

Step-by-step explanation:

Answer:

The absolute value of -90 is 90

Step-by-step explanation:

-90 is 90 away from 0.

Answer:

Step-by-step explanation:

f(x) = (x - 1)/(x - 3) < 0

The critical points are x = 1 and x = 3

When x < 1, f(x) > 0

When 1 < x < 3,  f(x) < 0  

When x > 3,   f(x) > 0

Note  when x = 3 f(x) has no value and when x = 1 f(x) = 0.

I can't see all the graphs very well  but there should be a red line between 1 and 3 with a clear circle on x = 1 and x = 3.

Looks like its the last choice.

Answer:

B. 7 1/2

Step-by-step explanation:

1. To solve this problem, we have to multiply 2 1/2 by the reciprocal of 1/3.

2. (Solving)

Therefore, the answer is B. 7 1/2.

Answer:

its B mark branli.est pls

Step-by-step explanation:

|| ▼ Answer ▼ ||

Option (A) 4 x + 89.95 = 628.35; x = 134 dollars and 60 cents

|| ✪ Solution ✪ ||

Total cost of the trip was $628.35, Anja paid $89.95 as a flat fee, and paid extra for the four tooth fillings, the equation that represents this situation is:

\(4x+89.95=628.35-- > (1)\)

The solution to equation (1) is as follows:

\(4x=628.35-89.95=538.4\)

\(x=\frac{538.4}{4} =134.6\)

\(x=134.6\)

x = $134 and 60 cents

Conclusion: The answer is Option (a).

Hope this helps!

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