pls answer for points and brailliest answer

Answer:

18.6

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

Not sure what you wanted but here Divide each term by

−

5

-

5

and simplify.

Exact Form:

k

=

−

12

5

k

=

-

12

5

Decimal Form:

k

=

−

2.4

k

=

-

2.4

Mixed Number Form:

k

=

−

2

2

5

Step-by-step explanation:

Answer:

k= -2.4

Step-by-step explanation:

SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the given polynomials

One of the zeroes is:

STEP 2: Use synthetic division to divide the polynomials

Write the coefficients of the numerator

The last carry-down value is the remainder and it is 0 (zero)

Since the remainder is a zero, hence, x=-5 is a zero

Step 3: Answer question b

To get the factors, the remainder of the division in step 2 is given as:

The remaining factors of f(x) is:

STEP 4: Answer Question c

The complete factorization will give:

STEP 5: Answer question d

The zeroes of f(x) will be:

zeroes are: -5,4,-5

STEP 6: Plot the graph

Five rational numbers between \(\frac{91}{150} , \frac{92}{150} ,\frac{93}{150} ,\frac{94}{150} ,\frac{95}{150}\)

LCM of both the denominators (5 and 3)=15

The equivalent fraction with 15 as denominators=\(\frac{3*3}{5*3} and \frac{2*5}{3*5\\}\)

=\(\frac{10}{15} and \frac{9}{15}\)

Multiply both numerator and denominator by 10 of both number=\(\frac{9*10}{15*10} and \frac{10*10}{15*10}\)

=\(\frac{90}{150} and \frac{100}{150}\)

The numbers between them includes= \(\frac{91}{150} , \frac{92}{150} ,\frac{93}{150} ,\frac{94}{150} ,\frac{95}{150}\)

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Answer:

5.7 liters of 5% solution and 4.3 liters of 40% solution is needed to be mixed to get 10 liters of a 20% acid solution

Step-by-step explanation:

Let

x = Amount of 5% solution needed

(10 - x) = Amount of 40% solution needed

Equation:

5% of x + 40% of (10-x) = 20% of 10

0.05x + 0.40(10-x) = 0.20 * 10

Open parenthesis

0.05x + 4.0 - 0.40x = 0.20 * 10

Collect like terms

4.0 - 0.35x = 2.0

Add 0.35x to both sides of the equation

4.0 = 2.0 + 0.35x

Subtract 2.0 from both sides of the equation

2.0 = 0.35x

Divide both sides by 0.35

2.0 / 0.35 =x

5.7 = x

5.7 liter of the 5% solution is needed

Next is to find the amount of 40% solution needed

(10 - x) = Amount of 40% solution used

Amount of 40% solution used = 10 - 5.7

= 4.3

4.3 liters of 40% solution is needed

The lowest point should be used for measurement. To acquire a correct reading, students must read the meniscus at eye level. In order to read the meniscus at eye level, students need first set the graduated cylinder on the table and then stoop.

A measuring cylinder, often referred to as a graded cylinder, a cylinder measuring cylinder, or a mixing cylinder, is a piece of lab apparatus used to gauge the quantity of fluids, chemicals, or solutions used during a typical lab session. Compared to common laboratory flasks and beakers, graduated cylinders offer higher precision and accuracy. The graduated cylinder is a scientific tool that employs the metric system rather than the American standard system, so measurements are made in millilitres rather than ounces. The volume of an object or quantity of liquid is measured using a graduated cylinder, a common piece of laboratory glassware. It is a glass cylinder with side markings resembling those on a measuring cup, as its name suggests.

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A) The mean ,\(\bar{x}\) of the data set is given as 21.8.

B) Sum of the square of the difference between each data value and the mean is 488.2.

C) standard deviation 9.88

D) Mean of the new set of weights is 34.

A) The mean of the given data is

= (17 + 23 + 13 + 31 + 25) / 5

= 109/ 5

= 21.8.

B)  

      x                  \(x - \bar{x}\)                     \((x - \bar{x} )^2\)

    17          32 - 21.8 = 10.2                  104.04

    23          28 - 21.8 = 6.2                  38.44

    13           18 - 21.8 = - 3.8                  14.44

    31          40 - 21.8 = 18.2                  331.24

    25          22 - 21.8 = -0.2                  0.04

Sum of the square of the difference between each data value and the mean is :

\(\sum (x - \bar{x} )^2 = 488.2\)

C) standard deviation :

\(\sqrt[]{\frac{\sum (x - \bar{x} )^2}{n} }\)

= 488.2 / 5 = 9.88

D) Mean of the new set of weights

= (32 + 35 + 33 + 34 + 36 ) / 5

= 170 / 5

= 34

A) The mean ,\(\bar{x}\) of the data set is given as 21.8.

B) Sum of the square of the difference between each data value and the mean is 488.2.

C) standard deviation 9.88

D) Mean of the new set of weights is 34.

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Answer:

190 balcony seats were sold

Step-by-step explanation:

Total revenue = 14(M) + 7(B) where M = the number of main floor tickets sold and B = number of balcony tickets sold.

Total revenue = 8330, and 500 main floor tickets were sold. Let's substitute that into the problem.

8330 = 14(500) + 7B

8330 = 7000 + 7B

1330 = 7B

Now divide both sides by 7

190 = B

190 balcony seats were sold

Part A: annual gross salary =  $51,200. Part B:  income tax= $46,080

Part C: annual income, after tax reduction =  $46,080.

Part D: fortnightly net income  $126.24 per day.

Before taxes, benefits, and other wage garnishments are taken out of an employee's paycheck, that amount is known as their gross pay. Net pay, often known as take-home pay, is the amount that is left after all withholdings have been taken into account.

Given data:

Earning from shop clerk - $50,000 per year.

Earning from gardening - $1,200 per year.

Part A: annual gross salary.

annual gross salary =  $50,000 +  $1,200

annual gross salary =  $51,200

Part B:  income tax.

income tax = 10% of gross income

income tax = 0.10 * 51,200

income tax = $5,120

Part C: annual income, after tax reduction:

Net income = Gross income - tax

Net income = 51,200 - 5,120

Net income = $46,080

Part D: fortnightly net income:

fortnightly net income = Total net income / 365 days

fortnightly net income = $46,080 / 365

fortnightly net income = $126.24 per day.

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Complete question:

Carlos earns $50 000 each year as a shop clerk and an extra $1200 each year for gardening on the weekend. Tax applied is 10% on gross income.

A, calculate his annual gross salary

B, use his gross salary to find his income tax

C, what is his annual income, after tax

D what is his fortnightly net income, to the nearest cent after tax?

Sam will earn $99 for 12 hours of babysitting.

Two or more expressions with an equal sign are defined as an equation.

Given that, Sam earns $33 for babysitting for 4 hours.

4 hours = $33

4 ×3 hours = $33×3

12 hours = $99

Hence, Sam will earn $99 for 12 hours of babysitting.

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To increase the power of a statistical test, one can increase the sample size or increase the significance level. Option D.

It is necessary to either increase the sample size or raise the significance threshold in order to increase the power of a statistical test while maintaining all other factors constant. Let's investigate the causes of this.

The likelihood of successfully rejecting the null hypothesis in a statistical test is known as power. In other words, it refers to the test's capacity to identify a genuine difference or impact. A Type II mistake happens when we fail to reject the null hypothesis even when it is untrue, hence increasing the power is beneficial because it lowers the likelihood of this occurrence.

The power of a test is improved by increasing the sample size. More data points are provided and sampling variability is decreased with a bigger sample size. The test becomes increasingly capable of detecting subtle effects or variations as there are more observations. Because the test has a better chance of successfully identifying a real effect, the power rises as a result.

Alternately, increasing the strength can be accomplished by raising the significance level, also referred to as the alpha level. The threshold for rejecting the null hypothesis is determined by the significance level. The test is made more forgiving by raising the significance level (for instance, from 0.05 to 0.10), which makes it simpler to reject the null hypothesis.

As a result, the test's power rises as the likelihood that it will find a real effect rises.

It's crucial to keep in mind, though, that raising the significance level also raises the likelihood of making a Type I error, which is to reject the null hypothesis when it is actually true. Since there is a chance of producing more false positives, altering the significance threshold should be done with caution. The right answer is D.

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Answer: p= -5

Step-by-step explanation:

Answer:

-5

Step-by-step explanation:

carry the one over to the right side and subtract it to get an amount of -10.

then carry the -4p to the left and add it with -2p. which comes out to be 2p

now the equation reads as 2p=-10

continue to divide 2 to get p alone and divide -10 by 2 as well.

now p=-5 because a negative divided by a postive is a negative.

4/(3√3) cm/s is the rate at which x-coordinate of the point is changing.

Given curve equation is: y = √(1 + x³)

Differentiate the equation with respect to x: dy/dx = 1/2(1 + x³)^(-1/2) × 3x²= 3x²/2(1 + x³)^(1/2)

Given y = √(1 + x³), let x = 2, then y = √(1 + 2³) = √9 = 3

Given that at that point y-coordinate is increasing at the rate of 8cm/s, we have to find the rate of change of the x-coordinate i.e. dx/dt when x = 2.

dy/dt = 8cm/s3x²/2(1 + x³)^(1/2)

dx/dt = 8

dx/dt = 16/(3x²(1 + x³)^(1/2))

Substituting x = 2 in above equation:

dx/dt = 16/[3(2²)(1 + 2³)^(1/2)]

dx/dt = 16/[12(9)^(1/2)]

dx/dt = 4/(3√3)

Thus, the rate at which x-coordinate is changing at that instant is 4/(3√3) cm/s.

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Answer: a

Step-by-step explanation:

30-10=20

30-5=25

23-2=21

A rank 6 approximation of matrix A would only require us to store 1692 values.

To find the number of values needed to store a rank 6 approximation of the matrix A, we need to consider the formula for the rank-k approximation of a matrix:

A_k = U_k * Sigma_k * V_k^T

where U_k is a matrix of size m x k, Sigma_k is a diagonal matrix of size k x k, and V_k is a matrix of size n x k.

For a rank 6 approximation, we only need to keep the first 6 columns of U and V, and the first 6 diagonal entries of Sigma.

The number of values needed to store U_k and V_k is:

43 x 6 + 85 x 6 = 828

The number of values needed to store Sigma_k is:

6 x 6 = 36

Therefore, the total number of values needed to store a rank 6 approximation of matrix A is:

828 + 36 + 828 = 1692

So, a rank 6 approximation of matrix A would only require us to store 1692 values, which is much less than the 3655 values needed to store the full matrix.

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Answer:

28 notes (or bills)

Step-by-step explanation:

28.56 to be exact

As a leader, Jui-En tbelieve that he should change his behaviors to match the circumstances because no style works all the time. Jui-En is applying the socialized approach to leadership.

Employee motivation can be boosted by socialization, affirming reward, lead their vision, offer impressive benefits and encourage the temwork.

Employees who socialize who can sosialized in the workplace can increase their work efficiency because its reduce the work pressure by sharing information and teamwork which is important to thriving a company.

So, the correct answer is sosialized.

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Answer:

n = 6

Step-by-step explanation:

Let's convert the x and y values into (x,y) form.

(x, y) ⇒ (3, 5), (4, 7), (n, 11), (8, 15)

Now, let's find the rule in slope intercept form. To find the equation in slope intercept form, pick any two points. Then find the slope of the line.

⇒ (3, 5) and (4, 7)

Now, find the slope using the slope formula.

\(\dfrac{y_{2} - y_1}{x_2 - x_1} = \text{Slope}\)

\(\rightarrow \dfrac{7 - 5}{4 - 3} = \text{Slope}\)

\(\rightarrow \dfrac{2}{1} = 2 =\text{Slope}\)

Now, let's use point slope form to find the equation in slope intercept form.

\(y - 5 = 2(x - 3)\)

\(\rightarrow y - 5 = 2x - 6\)

\(\rightarrow y = 2x - 1 \ \ \ \ \ (\text{Rule})\)

Now, substitute the value of y into the equation.

\(11 = 2x - 1\)

\(\rightarrow 12 = 2x\)

\(\rightarrow \boxed{x = n = 6}\)

Take two points find equation

Slope:-

Equation in point slope form

Now put n

We cannot solve the corresponding first-order linear ODE using this technique.

The method of integrating factors is a technique used to solve first-order linear ordinary differential equations (ODEs) of the form:

y'(x) + p(x) y(x) = q(x)

where p(x) and q(x) are continuous functions on some interval I. The idea of the method is to multiply both sides of the equation by an integrating factor, which is a function u(x) chosen to make the left-hand side of the equation the derivative of a product:

u(x) y'(x) + p(x) u(x) y(x) = u(x) q(x)

The goal is to choose u(x) so that the left-hand side of the equation is the derivative of u(x) y(x). If we can find such a function u(x), we can integrate both sides of the equation to obtain:

u(x) y(x) = ∫ u(x) q(x) dx + C

where C is a constant of integration.

Now, if we cannot find an explicit formula for u(x) or the integral ∫ u(x) q(x) dx, the method of integrating factors fails. In other words, we cannot use this technique to solve the ODE. This is because without an explicit formula for u(x), we cannot integrate both sides of the equation to obtain a solution for y(x).

For example, consider the following first-order linear ODE:

y'(x) + x^2 y(x) = x

We can see that p(x) = x^2 and q(x) = x. To apply the method of integrating factors, we need to find a function u(x) such that:

u(x) y'(x) + x^2 u(x) y(x) = x u(x)

We can see that u(x) = e^(x^3/3) is a suitable integrating factor, as it makes the left-hand side of the equation the derivative of e^(x^3/3) y(x). Multiplying both sides of the equation by e^(x^3/3), we obtain:

e^(x^3/3) y'(x) + x^2 e^(x^3/3) y(x) = x e^(x^3/3)

which is equivalent to:

(d/dx)(e^(x^3/3) y(x)) = x e^(x^3/3)

Integrating both sides with respect to x, we obtain:

e^(x^3/3) y(x) = ∫ x e^(x^3/3) dx + C

We can see that the integral on the right-hand side of the equation does not have an explicit formula, so we cannot find an explicit solution for y(x) using the method of integrating factors. In other words, the method fails in this case.

In conclusion, if we cannot compute an explicit formula for one or both of the integrals that appear in the method of integrating factors, we cannot solve the corresponding first-order linear ODE using this technique.

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Answer:

3

Step-by-step explanation:

you can eliminate x with 3 if you multiply the second equation with 3

Answer:

15 x ^6 − 20 x ^5 + 10 x ^4

Step-by-step explanation:

Answer:

15x^6 - 20x^5 + 10x^4

Step-by-step explanation:

−5x^4(−3x^2+4x−2)

15x^6 - 20x^5 + 10x^4

This is an example of a hypothesis. A hypothesis is an educated guess or prediction about the relationship between variables based on prior knowledge or experience.

In this case, the marketing researcher has formed a hypothesis that increasing the advertising budget by $100,000 will result in a 5% increase in local profits in St. Louis over the next three months. This hypothesis can be tested through further research and data analysis to determine if it is supported by the evidence.

A hypothesis is a statement that proposes a potential relationship between two or more variables. It is often used in scientific research to provide a starting point for further investigation and to guide the development of experiments or studies. In the example you provided, the marketing researcher has formed a hypothesis that increasing the advertising budget by $100,000 in St. Louis will result in a 5% increase in local profits over the next three months.

The purpose of forming a hypothesis is to make predictions about what might happen in a certain situation based on prior knowledge or experience. In this case, the marketing researcher may have observed similar trends in the past or may have data to support their belief that increasing the advertising budget will lead to increased profits. The hypothesis provides a clear direction for the research, as the researcher can now design and conduct studies to test the hypothesis and see if it is supported by the evidence.

If the results of the studies support the hypothesis, it provides evidence that there is a relationship between advertising budget and local profits, and the researcher can make recommendations to the company to increase advertising budget in order to increase profits. On the other hand, if the results do not support the hypothesis, the researcher may need to revise the hypothesis or come up with a new one to explain the results.

In conclusion, a hypothesis is a critical component of the scientific research process, as it provides a starting point for further investigation and helps guide the development of studies

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The approximate mass of the sun in exponential form is 7.342 × 10²⁹ kg.

The mass of the sun is about ten million times greater than the mass of the moon. What is the approximate mass of the sun? Write in exponential form. The mass of the moon is 7.342 × 10²² kg (kilograms), and the mass of the sun is approximately 10 million times greater.

Therefore, the mass of the sun is approximately 10 million times the mass of the moon. Mass of the sun in exponential form can be expressed as: M = 10,000,000 × 7.342 × 10²² kg= 7.342 × 10²² × 10⁷ kg= 7.342 × 10²⁹ kg

Therefore, the approximate mass of the sun in exponential form is 7.342 × 10²⁹ kg.

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The given slope -4/3 is equal the slope with coordinates (-1, 6) and (-4, 10). Therefore, option A is the correct answer.

The given slope is -4/3.

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

Here, slope = (10-6)/(-4+1)

= 4/(-3)

= -4/3

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

Slope = (10+1)/(-4-6)

= -11/10

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

Slope = (-4-6)/(10+1)

= -10/11

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

Slope = (-4+1)/(10-6)

= -3/4

Therefore, option A is the correct answer.

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The box requires a minimum of 4032 square inches of material.

Let's assume that the square base of the box has side length 'x', and the height of the box is 'h'. Then the volume of the box is

V = x^2 × h = 6912

We need to find the dimensions of the box that require the least amount of material. This means we need to minimize the surface area of the box. The surface area of the box is given by

S = x^2 + 4xh

We can solve for 'h' in terms of 'x' using the volume equation

h = 6912 / x^2

Substituting this expression for 'h' into the surface area equation, we get

S = x^2 + 4x(6912/x^2)

Simplifying and taking the derivative of 'S' with respect to 'x', we get

dS/dx = 2x - 27744/x^3

Setting this derivative equal to zero to find the critical points

2x - 27744/x^3 = 0

Multiplying both sides by x^3 and solving for 'x', we get

x = (27744/2)^(1/4) = 18

To confirm that this is a minimum, we need to check the second derivative of 'S' with respect to 'x'

d^2S/dx^2 = 2 + 83208/x^4

At x = 18, we have

d^2S/dx^2 = 2 + 83208/18^4 > 0

Therefore, the critical point at x = 18 corresponds to a minimum surface area.

So the dimensions of the box with the least amount of material are

The side length of the base is 18 inches, and

The height of the box is h = 6912 / 18^2 = 32 inches.

The minimum amount of material required is the surface area of the box, which is

S = 18^2 + 4(18)(32) = 1728 + 2304 = 4032 in^2.

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Answer:

Step-by-step explanation:

RS + ST = RT

6y + 3 + 4y + 7 = 60

6y + 4y + 3 + 7 = 60

       10y + 10   = 60

                  10y = 60 - 10

                 10y = 50

                    y = 50/10

y = 5

RS = 6*5 + 3 = 30 +3 = 33

ST = 4*5 + 7 = 20 + 7 = 27

Step-by-step explanation:

[Diagram in image attached]

RS + ST = RT

(6y +3) + (4y + 7) = 60

6y + 3 + 4y + 7 = 60

10y + 10 = 60

10y = 60 - 10

10y = 50

y = 50/10

y = 5

RS = 6y +3 = 6(5) + 3 = 30 + 3 = 33

ST = 4y +7 = 4(5) + 7 = 20 + 7 = 27

RT = 60

{RS + ST = RT

33 + 27 = 60}

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Answer: -9m+-36

Step-by-step explanation:

Answer:

9m-36

Step-by-step explanation:

-9times -m = 9m

-9 times 4 = -36

9m-36

Answer: 4

Step-by-step explanation: