pls help me pls help me​

Answer:

10 groups

Step-by-step explanation:

because 30 divided by 3 is 10

The final answer is (1 + 21√2)/(21√2). The process of rationalization involves changing the form of an expression to eliminate radicals from its Denominator, or to eliminate denominators from a radical expression.

To rationalize the denominator 1/7 + 3√2,

A rational number is a number that can be expressed as a ratio of two integers, with the denominator not equal to zero. The fraction 4/5, for example, is a rational number since it can be expressed as 4 divided by 5.

Step-by-Step SolutionTo rationalizes the denominator 1/7 + 3√2, we'll need to follow these steps.

Step 1: First, we need to create a common denominator for the two terms. The common denominator is 7. Thus, we can convert the expression to the following form:(1/7) + (3√2 × 7)/(7 × 3√2).

Step 2: Simplify the denominator to 7. (1/7) + (21√2)/(21 × 3√2).

Step 3: The numerator and denominator can now be simplified. (1 + 21√2)/(7 × 3√2).Step 4: Simplify further. (1 + 21√2)/(21√2).We have successfully rationalized the denominator!

The final answer is (1 + 21√2)/(21√2).

The final answer is (1 + 21√2)/(21√2). The process of rationalization involves changing the form of an expression to eliminate radicals from its denominator, or to eliminate denominators from a radical expression.

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The formula for the volume of a rectangular prism is \(V = whl\), where \(V\) is the volume, \(w\) is the width, \(h\) is the height, and \(l\) is the length. We can calculate the volume by substituting our values into this formula and solving.

\(V = 12 \cdot 2 \cdot 3\\V = 72\)

So, our answer is \(\boxed{72 \text{ ft}^2}\).

If the question is asking you for the number of cubes that we can fit, we replace each length with cubes that are \(1 \cdot 1 \cdot 1 \text{ ft}^3\), which are the largest cubes you can fit without overlap, you fit 72 cubes in the prism, each of length \(1 \text{ ft}\).

Answer:

-48

Step-by-step explanation:

you put the -6 in the place of a, and put 7 in the place of x. you get -6-6x7. 6x7 is 42. -6-42 is -48.

The answer to whether or not it is possible to determine imaginary solutions by examining the graph of p(x)=x^2+1 is no.

Function is a block of code that performs a specific task. It is a reusable code that can be called multiple times with different parameters. Functions are an important part of programming because they allow you to reuse code and make your code more organized and efficient. Functions also make it easier to debug code, as errors can be contained to a single function instead of spreading throughout the entire program.

The graph of this function does not contain any imaginary solutions, instead it is a parabola with its vertex at the origin and its axis of symmetry being the y-axis. This can be seen from the graph, as the graph is symmetrical about the y-axis and does not contain any points in the fourth quadrant, meaning that any solutions that would fall in this quadrant would be imaginary.

In addition, imaginary solutions cannot be determined from this graph, as the imaginary solutions would not be visible on the graph. Imaginary solutions are solutions that are not real, meaning they are not visible on the graph, as they do not exist in the real number system. This is because the graph only displays real number solutions, not imaginary ones.
Therefore, it is not possible to determine imaginary solutions by examining the graph of p(x)=x^2+1, as the graph only displays real number solutions, and imaginary solutions cannot be seen on the graph.

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Prior to placing an order to buy ABCD stock at a lower price, the investment adviser must conduct thorough research and analysis, set a target price, and determine an appropriate entry point for the purchase.

The investment adviser's primary responsibility is to act in the best interest of their client and make informed investment decisions. In this case, where the adviser believes ABCD stock is appropriate only if the price falls to $35 per share, several steps need to be taken before placing an order.

Firstly, the adviser should conduct comprehensive research on ABCD stock to understand its historical performance, financial health, industry trends, and any relevant news or events that might impact its future prospects. This research will help validate the adviser's belief that the stock is worth considering at a lower price.

Secondly, the adviser should establish a target price of $35 per share based on their analysis and the client's investment objectives. This target price serves as a reference point and provides a clear criterion for initiating the purchase.

Lastly, the adviser needs to identify an appropriate entry point for the purchase. This involves monitoring the stock's price movements and market conditions closely. The adviser may choose to set a limit order at $35 per share or implement a strategy to take advantage of potential price declines, such as dollar-cost averaging.

By following these steps, the investment adviser ensures that they have thoroughly evaluated the investment opportunity and have a plan in place before placing an order to buy ABCD stock for the client's account.

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The area of the triangle is 24 ft² while the area of the square is 64 ft²

An equation is an expression that shows the relationship between two or more numbers and variables.

Area of triangle = (1/2) * base * height = 0.5 * 8 * 6 = 24 ft²

Area of square = 8 ft * 8 ft = 64 ft²

The area of the triangle is 24 ft² while the area of the square is 64 ft²

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Answer:

C = -2t + 30

Step-by-step explanation:

The number of free cupcakes will be added to Edna's order are 9.

Given that, For every 10 cupcakes purchased, 3 free cupcakes are added to the order.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Here, for 30 cupcakes number of free cupcakes added is

10+10+10

= 3+3+3

= 9

Therefore, the number of free cupcakes will be added to Edna's order are 9.

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Answer:

a = 11

Step-by-step explanation:

Using the Pythagorean Theorem:

\( {a}^{2} + {26.4}^{2} = {28.6}^{2} \)

\( {a}^{2} + 696.96 = 817.96\)

\( {a}^{2} = 121\)

\(a = 11\)

Answer:

Step-by-step explanation:

slope =  

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

y + 3 = (x - 2) is in this form

with slope m =

Answer:

-x is the slope

Step-by-step explanation:

The measure of the segment xy of the given right angle triangle is; 36 units

This question can be best understood if the trigonometric ratios are briefly highlighted since it has been used in the question. Cos f is given as 4/9. We know that the cos of an angle is derived as the adjacent divided by the hypotenuse. In other words, the cosine of angle f is given as;

Cos f = Adjacent / Hypotenuse

Thus;

Cos f = 4/9

From the triangle shown in the attachment, the adjacent is XW while the hypotenuse is XY. Hence, the adjacent is 16 units and the hypotenuse is unknown. Since the measurements given in the question are a ratio of the original dimensions, the relationship can be expressed as follows;

4/9 = 16/XY

Where XY is the unknown side

By cross multiplication, you now arrive at,

4XY = 9 * 16

XY = 144/4

XY = 36

Therefore, XY measures 36 units

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The conditions for inference has been not met the sample wasn't chosen using a random method.

Sample mean , μ = 11.50

Total people estimated, x = 41

Mean sale increases by 10 per day

z = x - μ / σ

z = 41 -11.5/10

z = 2.95

Necessary condition for inference is

Three necessary conditions must be met to do inference are -

The randomness of the sample,

The distribution should approximate the normal distribution

The samples taken and their observations need to be independent of each other.

Selection cannot be selected randomly because specific group of people are selected

Hence, No, the sample was not chosen using a random method.

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The question is incomplete the complete question is :

question a local convenience store in a large city closes each day at 10 p.m. the owner of the store is investigating whether mean sales will increase by at least $10 per day if the store remains open until 11 p.m. the owner asked the 41 members of a local civic group to estimate the amount of money they might spend during the extra hour. the sample mean was $11.50. the owner will conduct a one-sample t -test for a population mean.

Have the conditions for inference been met?

A. Yes, all conditions have been met.

B. No, the sample was not chosen using a random method.

C. No, the sample size is greater than 10 percent of the population.

D. No, the sample size is not large enough to assume normality of the sampling distribution.

E. No, the distribution of the sample is not normal.

The number that is represented by the question mark in the sequence is 2

Sequence are set of numbers that follow a predefined and predetermined patterns guided by a rule

The sequence of numbers is given as:

111= 0, 3213=0,

7756= 1,  7662= 2,

6855= 3,   8096= 5,

6666=4  8193= 3,

9313= 1,   8639= 4,

1234=0,   2581 = 2,

7186= 3,  2(6)7(9)=

From the complete question, the values of the sequence are determined by the count of numbers that are circled or in brackets

In the 2(6)7(9), two numbers are circled.

The numbers are 6 and 9

This means that the value of 2679 is 2

i.e. 2(6)7(9)= 2

Hence, the number that is represented by the question mark in the sequence is 2

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Answer: B

Step-by-step explanation:

Both plant and animal cells have vacuoles, cell membrane, nucleus, and mitochondria.

The general solution of the differential equation is:

y(t) = C₁ + C₂\(e^{t}\)cos(t) + C₃\(e^{t}\)sin(t) + C₄\(e^{\sqrt{2} t}\)\cos(√{2}t) + C₅\(e^{\sqrt{2} t}\)sin(√{2}t),

where C₁, C₂, C₃, C₄ and C₅ are arbitrary constants.

We can start by finding the characteristic equation of the differential equation, which is:

r⁵ - 6r⁴ + 9r³ - 6r² + 8r = 0

We can factor out an r from this equation to get:

r(r⁴ - 6r³ + 9r² - 6r + 8) = 0

The roots of the first factor are r=0,

so we have a solution of the form y₁(t) = C₁.

For the second factor, we can use the Rational Root Theorem to find that r=2 is a root.

Dividing the polynomial by (r-2), we get:

r⁴ - 4r³ + r² - 2r + 4 = (r² - 2)(r² - 2r + 2) = 0

The roots of the second factor are:

r = 1 ± i

so we have two solutions of the form:

y₂(t) = \(e^{t}\)cos(t)

y₃(t) = \(e^{t}\)\sin(t)

Therefore, the general solution of the differential equation is:

y(t) = C₁ + C₂\(e^{t}\)cos(t) + C₃\(e^{t}\)sin(t) + C₄\(e^{\sqrt{2} t}\)\cos(√{2}t) + C₅\(e^{\sqrt{2} t}\)sin(√{2}t),

where C₁, C₂, C₃, C₄ and C₅ are arbitrary constants.

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The given vector-valued function is\(r(t) = f(t) × g(t)\), where \(f(t) = t^3i − tj − tk\) and\(g(t) = 3ti + t^2j − (t + 8)k.\)

To find the domain of the vector-valued function, we need to determine the values of t for which both f(t) and g(t) are defined.

For f(t), there are no restrictions on the domain since it is defined for all real values of t.

For g(t), we need to consider the denominator (t + 8) in the k-component. To avoid division by zero, we set t + 8 ≠ 0 and solve for t: t ≠ -8.

Therefore, the domain of the vector-valued function r(t) is all real numbers except t = -8.

Main answer: The domain of the vector-valued function

\(r(t) = f(t) × g(t) is (-∞, -8) U (-8, ∞).\)

The domain of the vector-valued function \(r(t) = f(t) × g(t)\)can be found by determining the values of t for which both f(t) and g(t) are defined. The function\(f(t) = t^3i − tj − tk\)is defined for all real values of t since there are no restrictions on its domain.

However, for the function \(g(t) = 3ti + t^2j − (t + 8)k\),

we need to consider the denominator (t + 8) in the k-component. To avoid division by zero, we set t + 8 ≠ 0 and solve for t: t ≠ -8. Therefore, the domain of g(t) is all real numbers except t = -8. Finally, to find the domain of r(t), we need to consider the intersection of the domains of f(t) and g(t), which is (-∞, -8) U (-8, ∞).

The domain of the vector-valued function \(r(t) = f(t) × g(t) is (-∞, -8) U (-8, ∞).\)

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Answer:

\(f(x)=5x^2+25x-30\)

Step-by-step explanation:

Quadratic Equation

If the roots of a quadratic equation are known, we can form the equation as follows:

\(f(x)=a(x-x_1)(x-x_2)\)

where x1 and x2 are the known roots, and a is the leading coefficient.

We are given the roots as x1=1 and x2=-6, and the leading coefficient as a=5, thus:

\(f(x)=5(x-1)(x+6)\)

Operating:

\(f(x)=5(x^2-x+6x-6)\)

Simplifying:

\(f(x)=5(x^2+5x-6)\)

Multiplying:

\(\mathbf{f(x)=5x^2+25x-30}\)

Answer:

its sideways

Step-by-step explanation:

i cant understand it sorry

The plans are illustrations of system of linear equations

Plan A lasts for 1 and a half hour, while plan B lasts for 1/3 hour

Let A represent plan A, and B represents plan B

On Monday, we have:

4A + 8B = 9

On Tuesday, we have:

2A + 3B = 4

Multiply the second equation by 2

2 * (2A + 3B = 4)

4A + 6B = 8

Subtract this equation from the first equation.

So, we have:

4A - 4A + 8B - 6B = 9 - 8

3B = 1

Divide both sides by 3

\(\mathbf{B = \frac 13}\)

Substitute 1/3 for B in 2A + 3B = 4

\(\mathbf{2A + 3 \times \frac 13 = 4}\)

2A + 1 = 4

Subtract 1 from both sides

2A = 3

Divide both sides by 2

\(\mathbf{A = 1\frac 12}\)

This means that:

Plan A lasts for 1 and a half hour, while plan B lasts for 1/3 hour

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The maximum Number of  scholars in each row is 12. This means that the  scholars can be arranged in rows with an equal number of  scholars, and each row can have a  outside of 12  scholars.

To find the maximum number of  scholars in each row, we need to determine the  topmost common divisor( GCD) of the total number of  scholars in each section. The GCD represents the largest number that divides all the given  figures unevenly.  

Given that there are 24, 36, and 60  scholars in the three sections, we can calculate the GCD as follows    Step 1 List the  high factors of each number  24 =  23 * 31  36 =  22 * 32  60 =  22 * 31 * 51    

Step 2 Identify the common  high factors among the three  figures  Common  high factors 22 * 31    Step 3 Multiply the common  high factors to find the GCD  GCD =  22 * 31 =  4 * 3 =  12  

 thus, the maximum number of  scholars in each row is 12. This means that the  scholars can be arranged in rows with an equal number of  scholars, and each row can have a  outside of 12  scholars.

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Answer:

x >-2

Step-by-step explanation:

3x-10<4(x-2)

3x - 10<4x-8

grouping liked terms

3x-4x<-8+10

-x<2

divide through by coefficient of x

x > -2

Answer:

4x^7

Step-by-step explanation:

(1-x)³ (1-x)² (8x³ + 27 + 36x² + 54x)

(-x³+ 1 + 3x² - 3x) (x²+ 1 -2x) (8x³ + 27 + 36x² + 54x)

(-x^5 + 3x^4 - 3x³ + x² - x³ + 1 + 3x² - 3x + 2x^4 - 2x-6x³ +6x²) (8x³ + 27 + 36x² + 54x)

(-x^5 + 5x^4 -10x³ + 10x² -5x + 1) (8x³ + 27 + 36x² + 54x)

-8x^8 + 40x^7 - 80x^6 + 80x^5 - 40x^4 + 8x^3 - 27x^5 + 135x^4 -270x^3+ 270x^2- 135x + 27 - 36x^7+  180x^6 - 360x^5 + 360x^4 - 180x^3 + 36x^2 - 54x^6 + 270x^5 - 540x^4 + 540x^3  - 270x^2 + 54x

27 - 81 x + 36 x^2 + 98 x^3 - 85 x^4 - 37 x^5 + 46 x^6 + 4 x^7 - 8 x^8

1) Trigonometric ratios for similar triangles state that the ratios of corresponding sides of similar triangles are equal. 2) The sine and cosine of complementary angles have the property of being not only equal but also complementary to one another. 3) trigonometric ratios can be used to solve for a missing side or angle of a right triangle.

1. Trigonometric ratios for similar triangles state that the ratios of corresponding sides of similar triangles are equal. Therefore, the ratios of the sine, cosine, and tangent of the corresponding angles in similar triangles will also be equal.

2. The sine and cosine of complementary angles have the property of being not only equal but also complementary to one another. This means that the sine of an angle is equal to its complement's cosine, and vice versa.

3. Using the appropriate formula based on the given information, trigonometric ratios can be used to solve for a missing side or angle of a right triangle.

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Answer:

x=17/1/7, y=8/4/7

Step-by-step explanation:

x:

30/30+x=14/22

420+14x=660

14x+240

x=17/1/7

y:

14/22=15/15+y

210+14y=330

14y=120

y=8/4/7

Answer:

x = \(17\frac{1}{7}\)

y = \(8\frac{4}{7}\)

Step-by-step explanation:

1. Lines DE and AC are parallel.

Therefore, by the Triangle Proportionality Theorem:

\(\frac{SideBD}{SideAD} = \frac{SideBE}{SideEC}\)
= \(\frac{30}{x} = \frac{15}{y}\)

Rearranging:

\(\frac{30}{15} = \frac{x}{y}\)

\(2 = \frac{x}{y}\)

Cross-multiplication is applied:

\((x)(1) = (2)(y)\)

\(x = 2y\) —-(equation i)

2. ΔBDE and ΔBAC are similar triangles

Which means:

\(\frac{SideBD}{SideDE} = \frac{SideBA}{SideAC}\)

\(\frac{30}{14} = \frac{30 + x}{22}\)

Cross-multiplication is applied

\((14)(30 + x) = (30)(22)\)

\(420 + 14x= 660\)

\(14x = 660 - 420\)

\(14x = 240\)

\(x = \frac{240}{14}\)

Reduce the numerator and denominator by the Highest Common Factor (2):

∴x = \(\frac{120}{7}\)

     =\(17\frac{1}{7}\)

Substitute the value of x in (equation i) to solve for y:

\(\frac{120}{7} = 2y\)

\(y = \frac{120}{7(2)}\)

∴y = \(\frac{60}{7}\)

    = \(8\frac{4}{7}\)

Answer:

hexagonal prism

given:

To find 3/4 is a solution of the above given equation.

let us subsitute in value of x.

now,

we get the same answer for the equation.

Thus 3/4 is a solution of the given equaion.

The long-run mean of the CIR equilibrium model, as per the equation dr= a(b-r)dt +σ√r dz, is given by the parameter "b".

The CIR model is a model that describes the change of an interest rate over time and it includes stochasticity in interest rate fluctuations. In finance, it is used to calculate the bond prices by implementing a short-term interest rate in the pricing formula. We can obtain the long-run mean of the CIR equilibrium model by calculating the expected value of "r" as "t → ∞". The expected value of "r" is given by b / a, where "a" and "b" are the parameters of the CIR model.

Therefore, the long-run mean of the CIR equilibrium model is given by the parameter "b"

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