Solve 9x 4 = 11 for x using the change of base formula log base b of y equals log y over log b. −3. 094 −2. 909 4. 916 5. 91.

Answer:

Explanation:

Here, we want to solve the given inequality

We proceed as follows:

Answer:

1) b. 3

2) a. 5

3) c. 4

4) d. 6

Step-by-step explanation:

Answer:

x × x +2x-35=0

x²+2x-35=0

(x+7)(x – 5)=0

x+7=0 —> x= – 7

x – 5=0 —> x = 5

I hope I helped you^_^

Answer:

3 1/2 puzzles

Step-by-step explanation:

The net present value of the project is approximately -$33,179.

The net present value (NPV) of the project can be calculated by determining the present value of the cash flows associated with the project and subtracting the initial cost.

To calculate the present value of the cash flows, we discount each cash flow to its present value using the required rate of return of 11%. The cash flows include the annual cost reduction of $121,000, the salvage value of $61,000 at the end of 7 years, and the recovery of working capital of $7,000.

Using the present value formula, the present value of the cash flows can be calculated. Then, we subtract the initial cost of $610,000.

If the net present value is positive, it indicates that the project is expected to generate a return greater than the required rate of return and would be considered a favorable investment. If the net present value is negative, it suggests that the project is not expected to meet the required rate of return and may not be a viable investment.

Performing the calculations, the net present value of the project is approximately -$33,179.

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Ratio in X > Ratio in Z> Ratio in Y

lets assume: -

Total employees in Z = 50, Total Full Time = 30, Total Part Time = 20 Ratio in Z = 30/20 = 3/2

So, No. of Full time employees in X > 15(more than half) lets assume 18,

Also No. of part time employees in Y > 10(more than half). lets assume 12

So the no. of part time employees in X =8 Hence ratio in X = 18/8 = 9/4 >2

Similarly ratio in Y = 12/12 = 1

So Ratio in X > Ratio in Z > Ratio in Y

But we don't know the distribution of Full time Vs Part time employees in Z, X& Y

So lets flip to the no of F.T in Z = 20 and P.T = 30 Now Ratio in Z = 20/30 = 2/3

So No. F.T in X > 10 (Assume 12) so F.T in Y = 8

and P.T in Y > 15 (Assume 18) so P.T in X = 12

Ratio in X = 12/12 = 1

Ratio in Y = 8/18 = 4/9

Ratio in X = 2/3

Ratio in X > Ratio in Z> Ratio in Y

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B.) The horizontal asymptote y = 11.95 represents that the cost per person approaches $11.95 as the number of people increases.

Good luck with the test! :)

The horizontal asymptote y = 0 represents that the cost per person approaches $0 as the number of people increases.

"An asymptote is a straight line that constantly approaches a given curve but does not meet at any infinite distance. In other words, Asymptote is a line that a curve approaches as it moves towards infinity."

"The curves visit these asymptotes but never overtake them. The method opted to find the horizontal asymptote changes involves comparing the degrees of the polynomials in the numerator and denominator of the function. If both the polynomials have the same degree, divide the coefficients of the largest degree terms."

From the equation, y = 11.95x + 25

And from the given graph it is clear that the horizontal asymptote y = 0 represents that the cost per person approaches $0 as the number of people increases.

Hence, A is the correct option.

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In this problem, the starting annual salary is $35,000 and increases by 4% each year. The task is to write a function in terms of t that represents this situation.

Modeling salary growth over time is a common task in finance and economics.

Let's call the salary after t years s(t).

Then, the salary after t years can be represented by the following function: s(t) = 35,000 * (1 + 0.04t).

This function says that the starting salary of $35,000 is multiplied by (1 + 0.04t) to find the salary after t years.

The constant 0.04 represents the 4% increase each year.

For example, if t = 1, then the salary after 1 year would be $35,000 * (1 + 0.04 * 1) = $36,400, and if t = 2, then the salary after 2 years would be $35,000 * (1 + 0.04 * 2) = $37,888.

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The inequality that can be used to represent the number of doll Johnny can buy is x ≤ 10.61

Johnny is budgeting for his trip to the toy store.  He does not want to spend more than $80 on Christmas presents.

He wants to buy a toy car that costs $32.25 and some dolls that cost $4.50 each. The number of dolls he can buy can be represented with the inequality as follows:

let

x = number of dolls

Therefore,

4.50x + 32.25 ≤ 80

subtract 32.25 from both sides of the inequality

4.50x + 32.25 ≤ 80

4.50x + 32.25 - 32.25 ≤ 80 - 32.25

4.50x ≤ 47.75

divide both sides by 4.50

4.50x/ 4.50 ≤ 47.75 / 4.50

x ≤ 10.6111111111

x ≤ 10.61

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a) P(x ≥ 2) = 60%

b) P(x > 2) = 21%

c) P(at least one alcoholic drink) = 92%

d) Mean = 1.76 drinks

e) Standard Deviation ≈ 0.692 drinks

To solve this problem, let's analyze the given data:

a) P(x ≥ 2): This represents the probability that a randomly selected customer orders two or more alcoholic drinks.

From the given data, we know that:

39% of customers order 2 alcoholic drinks.

18% of customers order 3 alcoholic drinks.

3% of customers order 4 alcoholic drinks.

To find the probability of ordering two or more alcoholic drinks, we sum up the probabilities of ordering 2, 3, and 4 alcoholic drinks:

P(x ≥ 2) = P(x = 2) + P(x = 3) + P(x = 4)

= 39% + 18% + 3%

= 60%

Therefore, the probability that a randomly selected customer orders two or more alcoholic drinks is 60%.

b) P(x > 2): This represents the probability that a randomly selected customer orders more than two alcoholic drinks.

To find this probability, we sum up the probabilities of ordering 3 and 4 alcoholic drinks:

P(x > 2) = P(x = 3) + P(x = 4)

= 18% + 3%

= 21%

Therefore, the probability that a randomly selected customer orders more than two alcoholic drinks is 21%.

c) To find the probability that a randomly selected customer orders at least one alcoholic drink, we need to find the complement of the probability of ordering zero alcoholic drinks:

P(at least one alcoholic drink) = 1 - P(x = 0)

= 1 - 8%

= 92%

Therefore, the probability that a randomly selected customer orders at least one alcoholic drink is 92%.

d) The mean (or average) number of alcoholic drinks ordered by customers at this bar can be found by multiplying the number of drinks ordered by their respective probabilities and summing them up:

Mean = (0 × 8%) + (1 × 32%) + (2 × 39%) + (3 × 18%) + (4 × 3%)

= 0 + 0.32 + 0.78 + 0.54 + 0.12

= 1.76

Therefore, the mean number of alcoholic drinks ordered by customers at this bar is 1.76.

e) The standard deviation for the number of alcoholic drinks ordered can be calculated using the following formula:

Standard Deviation = sqrt([Σ(x - μ)² × P(x)], where Σ denotes summation, x represents the number of drinks, μ is the mean, and P(x) is the probability of x.

Using the above formula, we can calculate the standard deviation as follows:

Standard Deviation = sqrt([(0 - 1.76)² × 0.08] + [(1 - 1.76)² × 0.32] + [(2 - 1.76)² × 0.39] + [(3 - 1.76)² × 0.18] + [(4 - 1.76)² × 0.03])

= sqrt([3.8912 × 0.08] + [0.1312 × 0.32] + [0.016 × 0.39] + [0.2744 × 0.18] + [2.3072 × 0.03])

= sqrt(0.312896 + 0.0420224 + 0.00624 + 0.049392 + 0.069216)

= sqrt(0.4797664)

≈ 0.692

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Answer:

\((x+2)^2 + 1 \ , \ where \ a = 2 \ , \ b = 1\)

Step-by-step explanation:

\((x + 2)^2 = x^2 + 4x + 4\\\\(x+2)^2 + 1 = x^2 + 4x + 5\)

\(Therefore,\)

                \(x^2 + 4x + 5 = (x+2)^2 + 1\)

The number of square inches of cloth cut from the square will be 1,017.36 square inches. Then the correct option is A.

It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.

Let r be the radius of the circle. Then the area of the circle will be

A = πr² square units

The radius is given as,

r = 36 / 2

r = 18 inches

The area of the circle is given as,

A = π x (18)²

A = 3.14 x 324

A = 1,017.36 square inches

The number of square inches of cloth cut from the square will be 1,017.36 square inches. Then the correct option is A.

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The complete question is given below.

A circle is cut from a square piece of cloth, as shown:

A square, one side labeled as 36 inches, has a circle inside it. The circle touches all the sides of the square. The portion of the square outside the circle is shaded.

How many square inches of cloth is cut from the square?

(π = 3.14)

1,017.36 in2

1,489.24 in2

1,182.96 in2

1,276.00 in2

Answer:

The error is on the fourth line

x=-1

Explanation:

-2(3x-5) =4(x+3)+8

-6x+10 =4x+12+8

-6x+10 =4x+20

-20+10 =10x (shift symbol change)

-10 =10x

-1 =x

HOPE IT HELPS!

Step-by-step explanation:

Given

sin³ø cos ø + cos³ø sinø

= sin ø cos ø ( sin²ø + cos²ø)

= sinø cosø * 1

= sinø cosø

Hope it will help :)

Answer:

(4,-1)

x=4

y=-1

Step-by-step explanation:

Answer:

x = 4 and y = -1

Step-by-step explanation:

hope this helps!

Answer: the second one

Step-by-step explanation:

because \(-4^{4}\)= -256

Answer:

34 inches

Step-by-step explanation :

54/360 X 20

Rate of murders and nonnegligent manslaughters per 100,000 people in grebia is 7

Unitary Method:

                         The unitary method is a process of finding the value of a single unit, and based on this value; we can find the value of the required number of unit.

According to question,

Country of grebia has a population of 142,182,936

Country reported 9850 murders and nonnegligent manslaughters

            9850 murders and nonnegligent manslaughters reported in 142,182,936 population.

so,

           9850/142182936  murders and nonnegligent manslaughters reported in 1 population.

hence,

           per 1000,000 people murders and nonnegligent manslaughters reported

                  =     \(\frac{ 9850}{142,182,936} * 100000\)

                  = 6.927

                   ≈ 7

Thus,

Rate of murders and nonnegligent manslaughters per 100,000 people in grebia is 7

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Marcia or her agency could respond to such criticism by emphasizing the importance of advocating for public health issues and the responsibility of healthcare professionals to address the broader social determinants of health.

They could highlight that nurses, like Marcia, have a unique perspective on the healthcare system and the well-being of their patients, which extends beyond individual patient care. The response could address the following points:

a) Commitment to public health: Marcia and her agency can emphasize their commitment to public health, emphasizing that advocating for policy changes and addressing social issues that affect health outcomes is an integral part of their profession.

b) Evidence-based approach: They can highlight that their advocacy efforts are grounded in evidence-based research, citing studies and data that support the need for policy changes in the specific issue at hand.

This would demonstrate that their actions are not merely political but based on the best interests of public health.

c) Collaboration and stakeholder involvement: Marcia and her agency can mention their efforts to collaborate with other healthcare professionals, community organizations, and policymakers to ensure that their advocacy is well-informed, inclusive, and representative of the needs and perspectives of various stakeholders.

d) Ethical and professional obligations: They can assert that as healthcare professionals, they have an ethical duty to promote the well-being of their patients and the community as a whole.

Advocacy for policy changes that address systemic issues impacting health aligns with this duty.

e) Separation of personal and professional life: Marcia or her agency can emphasize that while individuals may hold personal political beliefs, their advocacy work is separate from their professional responsibilities.

They can highlight that their actions are motivated by the desire to improve the health and well-being of the community, rather than personal political affiliations.

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Answer:

Step-by-step explanation:

A = bh/2

A = (12)(7)/2 = 84/2 = 42 in^2

answer is C

I apologize, I am unable to create tables or upload scanned documents. However, I can assist you in calculating the amount each investor will receive in each year based on the given information.

To calculate the amount received by each investor in each year, we need to follow these steps:

Calculate the total profit earned by the bank in each year by subtracting the loss values from zero.

Year 1: 0 - (-78,000) = 78,000

Year 2: 0 - (-23,000) = 23,000

Year 3: 29,000

Year 4: 63,000

Year 5: 103,500

Calculate the total profit to be distributed among the investors in each year, which is 60% of the total profit earned by the bank.

Year 1: 0.6 * 78,000 = 46,800

Year 2: 0.6 * 23,000 = 13,800

Year 3: 0.6 * 29,000 = 17,400

Year 4: 0.6 * 63,000 = 37,800

Year 5: 0.6 * 103,500 = 62,100

Calculate the profit share for each investor based on their respective share of the investment.

Year 1:

Fahad: (30/100) * 46,800

Yashara: (50/100) * 46,800

Saud: (20/100) * 46,800

Fariha: (40/100) * 46,800

Younus: (25/100) * 46,800

Asif: (35/100) * 46,800

Similarly, calculate the profit share for each investor in the remaining years using the same formula.

By following the calculations above, you can determine the amount each investor will receive in each year based on their share of the investment.

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The correct answers listed below :

A)The percentage of fencers that don't utilize the foil as their primary weapon in A.

B.) X : 0, 1, 2, 3,..., 21

C.) X ~ p(X) ; 10.4

D.) 21 ~ 0.4

E.) 0.0895

F.) Yes. There is a low (less than 1%) chance that all 21 fencers will not use the foil as their primary weapon.

A.) Considering that 60% of fencers reportedly utilize the foil as their primary weapon;

Number of fencers who do not utilize foil as their primary weapon is the random variable (x);

( 100% - 60%) = (1 - 0.6) = 0.4

B.) Possible values for X include:

The sample size is 26;

X : 0, 1, 2,..., 26

The breakdown of X

X ~ B ; X ~ p(X) ; 26 *0.4

=10.4

How many fencers are anticipated to not utilize the foil as their primary weapon in Part (d)?

X * p(x) (x)

=26 * 0.4

= 8.4

= 8 (nearest whole number) (nearest whole number)

Determine the likelihood that eleven will not utilize the foil as their primary weapon in part (e).

P(x = 11)

Using the link between binomial probabilities:

P(x =x) is equal to nCx * px * (1 - p) (n - x)

P(x = 11) = 26C11 * 0.4^11 * 0.6^10

P(x = 11) = 0.0895

Would you be shocked if none of the 21 used foil as their primary weapon based on the numbers?

P(x = 26) = 26C21 * 0.4^26 * 0.6^0

P(x = 26) = < 0.00001 ( about 0) ( approximately 0)

It will therefore be surprising if all 26 do not employ foil as their primary weapon given this extremely low value, which is virtually equal to 0.

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The product of 2 and 1/10 times -7 times 5/12 is -7/12, which is a fraction.

The product of 2 and 1/10 times -7 times 5/12 can be found stepwise by multiplying the numbers together.
1. Convert the mixed fraction 1/10 to an improper fraction: 1/10 = 1 ÷ 10 = 1/10.
2. Multiply the numbers together: 2 × 1/10 × -7 × 5/12 = -70/120.
3. Simplify the fraction: -70/120 = -7/12.
Therefore, the product of 2 and 1/10 times -7 times 5/12 is -7/12.

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Answer:

option 2

Step-by-step explanation:

the cosine rule is

cos A = b² + c² - a² / 2bc

so, A is x°

a is 41

b is 37

c is 63

solving the equation will give you the value of x°

11:2b-3 12:6+9/p 13: c/4+7 14: 13y-1 15: w/8-k 16: I'm not sure 17: 9+3x 18:12+2/3h 19: 16+g/18 20:y/12+7

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Answer:

a.) 7/9 × 5 2/5

= 7/9 × 27/5

= = 189/25

= 21/5 or 4 1/5

b.) 1 1/3 × 4 1/6

= 4/3 × 25/6

= 100/18

= 50/9 or 5 5/9

Hope this helps

Answer:

A) 21/5. B) 175/24

Step-by-step explanation:

Turn the mixed numbers into improper fractions then just multiply across to get the answers

Hope this helps!

The value of the ratio x : y : z is 1/2 : /3 : 5/18

From the question, we have the following parameters that can be used in our computation:

x:y = 1/2:1/3 and y:z = 1/5:1/6

Express the ratio properly

So, we have the following representation

x : y = 1/2 : 1/3 and y : z = 1/5 : 1/6

Multiply the ratio y : z = 1/5 : 1/6 by 5/3

So, we have

y : z = 1/3 : 5/18

So, we have

x : y : y : z = 1/2 : 1/3 : 1/3 : 5/18

Remove the repetition

This gives

x : y : z = 1/2 : /3 : 5/18

Hence, the ratio is 1/2 : /3 : 5/18

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Answer:

24

Step-by-step explanation:

if 6 exhibits are 25% of the entire zoo. You would need four times that amount to get the total number of exhibits because 25% × 4 = 100%. So, if you multiply 6 × 4 the total number of exhibits would be 24.